id	sid	tid	token	lemma	pos
ejpam-3408	1	1	european	european	PROPN
ejpam-3408	1	2	journal	journal	PROPN
ejpam-3408	1	3	of	of	ADP
ejpam-3408	1	4	pure	pure	ADJ
ejpam-3408	1	5	and	and	CCONJ
ejpam-3408	1	6	applied	apply	VERB
ejpam-3408	1	7	mathematics	mathematic	NOUN
ejpam-3408	1	8	vol	vol	NOUN
ejpam-3408	1	9	.	.	PROPN
ejpam-3408	2	1	12	12	NUM
ejpam-3408	2	2	,	,	PUNCT
ejpam-3408	2	3	no	no	INTJ
ejpam-3408	2	4	.	.	NOUN
ejpam-3408	2	5	2	2	NUM
ejpam-3408	2	6	,	,	PUNCT
ejpam-3408	2	7	2019	2019	NUM
ejpam-3408	2	8	,	,	PUNCT
ejpam-3408	2	9	370	370	NUM
ejpam-3408	2	10	-	-	SYM
ejpam-3408	2	11	408	408	NUM
ejpam-3408	2	12	issn	issn	PROPN
ejpam-3408	2	13	1307	1307	NUM
ejpam-3408	2	14	-	-	SYM
ejpam-3408	2	15	5543	5543	NUM
ejpam-3408	2	16	–	–	PUNCT
ejpam-3408	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3408	2	18	published	publish	VERB
ejpam-3408	2	19	by	by	ADP
ejpam-3408	2	20	new	new	PROPN
ejpam-3408	2	21	york	york	PROPN
ejpam-3408	2	22	business	business	PROPN
ejpam-3408	2	23	global	global	PROPN
ejpam-3408	2	24	literature	literature	PROPN
ejpam-3408	2	25	survey	survey	NOUN
ejpam-3408	2	26	on	on	ADP
ejpam-3408	2	27	non	non	ADJ
ejpam-3408	2	28	-	-	ADJ
ejpam-3408	2	29	associative	associative	ADJ
ejpam-3408	2	30	rings	ring	NOUN
ejpam-3408	2	31	and	and	CCONJ
ejpam-3408	2	32	developments	development	NOUN
ejpam-3408	2	33	tariq	tariq	PROPN
ejpam-3408	2	34	shah1	shah1	PROPN
ejpam-3408	2	35	,	,	PUNCT
ejpam-3408	2	36	asima	asima	PROPN
ejpam-3408	2	37	razzaque2,∗	razzaque2,∗	PROPN
ejpam-3408	2	38	,	,	PUNCT
ejpam-3408	2	39	inayatur	inayatur	ADJ
ejpam-3408	2	40	rehman3	rehman3	PROPN
ejpam-3408	2	41	,	,	PUNCT
ejpam-3408	2	42	muhammad	muhammad	PROPN
ejpam-3408	2	43	asif	asif	PROPN
ejpam-3408	2	44	gondal3	gondal3	PROPN
ejpam-3408	2	45	,	,	PUNCT
ejpam-3408	2	46	muhammad	muhammad	PROPN
ejpam-3408	2	47	iftikhar	iftikhar	PROPN
ejpam-3408	2	48	faraz4	faraz4	PROPN
ejpam-3408	2	49	,	,	PUNCT
ejpam-3408	2	50	kar	kar	PROPN
ejpam-3408	2	51	ping	ping	PROPN
ejpam-3408	2	52	shum5	shum5	PROPN
ejpam-3408	2	53	1	1	NUM
ejpam-3408	2	54	department	department	NOUN
ejpam-3408	2	55	of	of	ADP
ejpam-3408	2	56	mathematics	mathematic	NOUN
ejpam-3408	2	57	,	,	PUNCT
ejpam-3408	2	58	quaid	quaid	PROPN
ejpam-3408	2	59	-	-	PUNCT
ejpam-3408	2	60	e	e	PROPN
ejpam-3408	2	61	-	-	PROPN
ejpam-3408	2	62	azam	azam	PROPN
ejpam-3408	2	63	university	university	PROPN
ejpam-3408	2	64	,	,	PUNCT
ejpam-3408	2	65	islamabad	islamabad	PROPN
ejpam-3408	2	66	,	,	PUNCT
ejpam-3408	2	67	pakistan	pakistan	PROPN
ejpam-3408	2	68	2	2	NUM
ejpam-3408	2	69	department	department	NOUN
ejpam-3408	2	70	of	of	ADP
ejpam-3408	2	71	mathematics	mathematic	NOUN
ejpam-3408	2	72	,	,	PUNCT
ejpam-3408	2	73	university	university	NOUN
ejpam-3408	2	74	of	of	ADP
ejpam-3408	2	75	education	education	NOUN
ejpam-3408	2	76	,	,	PUNCT
ejpam-3408	2	77	lahore	lahore	PROPN
ejpam-3408	2	78	,	,	PUNCT
ejpam-3408	2	79	pakistan	pakistan	PROPN
ejpam-3408	2	80	3	3	NUM
ejpam-3408	2	81	department	department	NOUN
ejpam-3408	2	82	of	of	ADP
ejpam-3408	2	83	mathematics	mathematic	NOUN
ejpam-3408	2	84	and	and	CCONJ
ejpam-3408	2	85	sciences	science	NOUN
ejpam-3408	2	86	,	,	PUNCT
ejpam-3408	2	87	dhofar	dhofar	ADJ
ejpam-3408	2	88	university	university	PROPN
ejpam-3408	2	89	,	,	PUNCT
ejpam-3408	2	90	salalah	salalah	PROPN
ejpam-3408	2	91	,	,	PUNCT
ejpam-3408	2	92	oman	oman	NOUN
ejpam-3408	2	93	4	4	NUM
ejpam-3408	2	94	college	college	NOUN
ejpam-3408	2	95	of	of	ADP
ejpam-3408	2	96	engineering	engineering	NOUN
ejpam-3408	2	97	,	,	PUNCT
ejpam-3408	2	98	grand	grand	ADJ
ejpam-3408	2	99	valley	valley	PROPN
ejpam-3408	2	100	state	state	PROPN
ejpam-3408	2	101	university	university	PROPN
ejpam-3408	2	102	,	,	PUNCT
ejpam-3408	2	103	usa	usa	PROPN
ejpam-3408	2	104	.	.	PROPN
ejpam-3408	2	105	5	5	NUM
ejpam-3408	2	106	institute	institute	NOUN
ejpam-3408	2	107	of	of	ADP
ejpam-3408	2	108	mathematics	mathematics	PROPN
ejpam-3408	2	109	,	,	PUNCT
ejpam-3408	2	110	yunnan	yunnan	PROPN
ejpam-3408	2	111	university	university	PROPN
ejpam-3408	2	112	,	,	PUNCT
ejpam-3408	2	113	kunming	kunming	NOUN
ejpam-3408	2	114	,	,	PUNCT
ejpam-3408	2	115	650091	650091	NUM
ejpam-3408	2	116	,	,	PUNCT
ejpam-3408	3	1	p.	p.	PROPN
ejpam-3408	3	2	r.	r.	PROPN
ejpam-3408	3	3	china	china	PROPN
ejpam-3408	3	4	.	.	PUNCT
ejpam-3408	4	1	abstract	abstract	PROPN
ejpam-3408	4	2	.	.	PUNCT
ejpam-3408	5	1	in	in	ADP
ejpam-3408	5	2	this	this	DET
ejpam-3408	5	3	paper	paper	NOUN
ejpam-3408	5	4	we	we	PRON
ejpam-3408	5	5	present	present	VERB
ejpam-3408	5	6	a	a	DET
ejpam-3408	5	7	comprehensive	comprehensive	ADJ
ejpam-3408	5	8	survey	survey	NOUN
ejpam-3408	5	9	and	and	CCONJ
ejpam-3408	5	10	developments	development	NOUN
ejpam-3408	5	11	of	of	ADP
ejpam-3408	5	12	existing	exist	VERB
ejpam-3408	5	13	literature	literature	NOUN
ejpam-3408	5	14	of	of	ADP
ejpam-3408	5	15	non	non	ADJ
ejpam-3408	5	16	-	-	ADJ
ejpam-3408	5	17	associative	associative	ADJ
ejpam-3408	5	18	rings	ring	NOUN
ejpam-3408	5	19	and	and	CCONJ
ejpam-3408	5	20	enumerate	enumerate	VERB
ejpam-3408	5	21	some	some	PRON
ejpam-3408	5	22	of	of	ADP
ejpam-3408	5	23	their	their	PRON
ejpam-3408	5	24	various	various	ADJ
ejpam-3408	5	25	applications	application	NOUN
ejpam-3408	5	26	in	in	ADP
ejpam-3408	5	27	different	different	ADJ
ejpam-3408	5	28	directions	direction	NOUN
ejpam-3408	5	29	to	to	ADP
ejpam-3408	5	30	date	date	NOUN
ejpam-3408	5	31	.	.	PUNCT
ejpam-3408	6	1	these	these	DET
ejpam-3408	6	2	applications	application	NOUN
ejpam-3408	6	3	explain	explain	VERB
ejpam-3408	6	4	the	the	DET
ejpam-3408	6	5	voluminous	voluminous	ADJ
ejpam-3408	6	6	work	work	NOUN
ejpam-3408	6	7	in	in	ADP
ejpam-3408	6	8	different	different	ADJ
ejpam-3408	6	9	fields	field	NOUN
ejpam-3408	6	10	of	of	ADP
ejpam-3408	6	11	non	non	ADJ
ejpam-3408	6	12	-	-	ADJ
ejpam-3408	6	13	associative	associative	ADJ
ejpam-3408	6	14	rings	ring	NOUN
ejpam-3408	6	15	and	and	CCONJ
ejpam-3408	6	16	through	through	ADP
ejpam-3408	6	17	which	which	PRON
ejpam-3408	6	18	various	various	ADJ
ejpam-3408	6	19	algebraic	algebraic	ADJ
ejpam-3408	6	20	structures	structure	NOUN
ejpam-3408	6	21	in	in	ADP
ejpam-3408	6	22	theoretical	theoretical	ADJ
ejpam-3408	6	23	point	point	NOUN
ejpam-3408	6	24	of	of	ADP
ejpam-3408	6	25	view	view	NOUN
ejpam-3408	6	26	could	could	AUX
ejpam-3408	6	27	be	be	AUX
ejpam-3408	6	28	developed	develop	VERB
ejpam-3408	6	29	.	.	PUNCT
ejpam-3408	7	1	2010	2010	NUM
ejpam-3408	7	2	mathematics	mathematic	NOUN
ejpam-3408	7	3	subject	subject	NOUN
ejpam-3408	7	4	classifications	classification	NOUN
ejpam-3408	7	5	:	:	PUNCT
ejpam-3408	7	6	17d99	17d99	NUM
ejpam-3408	7	7	key	key	ADJ
ejpam-3408	7	8	words	word	NOUN
ejpam-3408	7	9	and	and	CCONJ
ejpam-3408	7	10	phrases	phrase	NOUN
ejpam-3408	7	11	:	:	PUNCT
ejpam-3408	7	12	octonions	octonion	NOUN
ejpam-3408	7	13	,	,	PUNCT
ejpam-3408	7	14	jordan	jordan	PROPN
ejpam-3408	7	15	rings	rings	PROPN
ejpam-3408	7	16	,	,	PUNCT
ejpam-3408	7	17	la	la	PROPN
ejpam-3408	7	18	-	-	PUNCT
ejpam-3408	7	19	rings	ring	NOUN
ejpam-3408	7	20	1	1	NUM
ejpam-3408	7	21	.	.	PUNCT
ejpam-3408	8	1	introduction	introduction	NOUN
ejpam-3408	8	2	one	one	NUM
ejpam-3408	8	3	of	of	ADP
ejpam-3408	8	4	the	the	DET
ejpam-3408	8	5	endlessly	endlessly	ADV
ejpam-3408	8	6	alluring	alluring	ADJ
ejpam-3408	8	7	aspects	aspect	NOUN
ejpam-3408	8	8	of	of	ADP
ejpam-3408	8	9	mathematics	mathematic	NOUN
ejpam-3408	8	10	is	be	AUX
ejpam-3408	8	11	that	that	SCONJ
ejpam-3408	8	12	its	its	PRON
ejpam-3408	8	13	thorniest	thorny	ADJ
ejpam-3408	8	14	paradoxes	paradox	NOUN
ejpam-3408	8	15	have	have	VERB
ejpam-3408	8	16	a	a	DET
ejpam-3408	8	17	way	way	NOUN
ejpam-3408	8	18	of	of	ADP
ejpam-3408	8	19	blooming	bloom	VERB
ejpam-3408	8	20	into	into	ADP
ejpam-3408	8	21	beautiful	beautiful	ADJ
ejpam-3408	8	22	theories	theory	NOUN
ejpam-3408	8	23	.	.	PUNCT
ejpam-3408	9	1	pure	pure	ADJ
ejpam-3408	9	2	mathematics	mathematic	NOUN
ejpam-3408	9	3	is	be	AUX
ejpam-3408	9	4	,	,	PUNCT
ejpam-3408	9	5	in	in	ADP
ejpam-3408	9	6	its	its	PRON
ejpam-3408	9	7	way	way	NOUN
ejpam-3408	9	8	the	the	DET
ejpam-3408	9	9	poetry	poetry	NOUN
ejpam-3408	9	10	of	of	ADP
ejpam-3408	9	11	logical	logical	ADJ
ejpam-3408	9	12	ideas	idea	NOUN
ejpam-3408	9	13	.	.	PUNCT
ejpam-3408	10	1	today	today	NOUN
ejpam-3408	10	2	mathematics	mathematic	NOUN
ejpam-3408	10	3	especially	especially	ADV
ejpam-3408	10	4	pure	pure	ADJ
ejpam-3408	10	5	mathematics	mathematic	NOUN
ejpam-3408	10	6	is	be	AUX
ejpam-3408	10	7	not	not	PART
ejpam-3408	10	8	the	the	DET
ejpam-3408	10	9	same	same	ADJ
ejpam-3408	10	10	as	as	SCONJ
ejpam-3408	10	11	it	it	PRON
ejpam-3408	10	12	was	be	AUX
ejpam-3408	10	13	hundred	hundred	NUM
ejpam-3408	10	14	years	year	NOUN
ejpam-3408	10	15	ago	ago	ADV
ejpam-3408	10	16	.	.	PUNCT
ejpam-3408	11	1	many	many	ADJ
ejpam-3408	11	2	revolutions	revolution	NOUN
ejpam-3408	11	3	have	have	AUX
ejpam-3408	11	4	occurred	occur	VERB
ejpam-3408	11	5	and	and	CCONJ
ejpam-3408	11	6	it	it	PRON
ejpam-3408	11	7	has	have	AUX
ejpam-3408	11	8	taken	take	VERB
ejpam-3408	11	9	new	new	ADJ
ejpam-3408	11	10	shapes	shape	NOUN
ejpam-3408	11	11	with	with	ADP
ejpam-3408	11	12	the	the	DET
ejpam-3408	11	13	due	due	ADJ
ejpam-3408	11	14	course	course	NOUN
ejpam-3408	11	15	of	of	ADP
ejpam-3408	11	16	time	time	NOUN
ejpam-3408	11	17	.	.	PUNCT
ejpam-3408	12	1	until	until	ADP
ejpam-3408	12	2	recently	recently	ADV
ejpam-3408	12	3	the	the	DET
ejpam-3408	12	4	theory	theory	NOUN
ejpam-3408	12	5	of	of	ADP
ejpam-3408	12	6	rings	ring	NOUN
ejpam-3408	12	7	and	and	CCONJ
ejpam-3408	12	8	algebras	algebras	PROPN
ejpam-3408	12	9	was	be	AUX
ejpam-3408	12	10	regarded	regard	VERB
ejpam-3408	12	11	exclusively	exclusively	ADV
ejpam-3408	12	12	as	as	ADP
ejpam-3408	12	13	the	the	DET
ejpam-3408	12	14	theory	theory	NOUN
ejpam-3408	12	15	of	of	ADP
ejpam-3408	12	16	associative	associative	ADJ
ejpam-3408	12	17	rings	ring	NOUN
ejpam-3408	12	18	and	and	CCONJ
ejpam-3408	12	19	algebras	algebra	NOUN
ejpam-3408	12	20	.	.	PUNCT
ejpam-3408	13	1	this	this	PRON
ejpam-3408	13	2	was	be	AUX
ejpam-3408	13	3	a	a	DET
ejpam-3408	13	4	result	result	NOUN
ejpam-3408	13	5	of	of	ADP
ejpam-3408	13	6	the	the	DET
ejpam-3408	13	7	fact	fact	NOUN
ejpam-3408	13	8	that	that	SCONJ
ejpam-3408	13	9	the	the	DET
ejpam-3408	13	10	first	first	ADJ
ejpam-3408	13	11	rings	ring	NOUN
ejpam-3408	13	12	encountered	encounter	VERB
ejpam-3408	13	13	in	in	ADP
ejpam-3408	13	14	the	the	DET
ejpam-3408	13	15	course	course	NOUN
ejpam-3408	13	16	of	of	ADP
ejpam-3408	13	17	the	the	DET
ejpam-3408	13	18	development	development	NOUN
ejpam-3408	13	19	of	of	ADP
ejpam-3408	13	20	mathematics	mathematic	NOUN
ejpam-3408	13	21	were	be	AUX
ejpam-3408	13	22	associative	associative	ADJ
ejpam-3408	13	23	(	(	PUNCT
ejpam-3408	13	24	and	and	CCONJ
ejpam-3408	13	25	commutative	commutative	ADJ
ejpam-3408	13	26	)	)	PUNCT
ejpam-3408	13	27	rings	ring	NOUN
ejpam-3408	13	28	of	of	ADP
ejpam-3408	13	29	numbers	number	NOUN
ejpam-3408	13	30	and	and	CCONJ
ejpam-3408	13	31	rings	ring	NOUN
ejpam-3408	13	32	of	of	ADP
ejpam-3408	13	33	functions	function	NOUN
ejpam-3408	13	34	,	,	PUNCT
ejpam-3408	13	35	and	and	CCONJ
ejpam-3408	13	36	also	also	ADV
ejpam-3408	13	37	associative	associative	ADJ
ejpam-3408	13	38	rings	ring	NOUN
ejpam-3408	13	39	of	of	ADP
ejpam-3408	13	40	endomorphisms	endomorphism	NOUN
ejpam-3408	13	41	of	of	ADP
ejpam-3408	13	42	abelian	abelian	ADJ
ejpam-3408	13	43	groups	group	NOUN
ejpam-3408	13	44	,	,	PUNCT
ejpam-3408	13	45	in	in	ADP
ejpam-3408	13	46	particular	particular	ADJ
ejpam-3408	13	47	,	,	PUNCT
ejpam-3408	13	48	rings	ring	NOUN
ejpam-3408	13	49	of	of	ADP
ejpam-3408	13	50	linear	linear	ADJ
ejpam-3408	13	51	transformations	transformation	NOUN
ejpam-3408	13	52	of	of	ADP
ejpam-3408	13	53	vector	vector	NOUN
ejpam-3408	13	54	spaces	space	NOUN
ejpam-3408	13	55	.	.	PUNCT
ejpam-3408	14	1	this	this	DET
ejpam-3408	14	2	survey	survey	NOUN
ejpam-3408	14	3	of	of	ADP
ejpam-3408	14	4	one	one	NUM
ejpam-3408	14	5	part	part	NOUN
ejpam-3408	14	6	of	of	ADP
ejpam-3408	14	7	the	the	DET
ejpam-3408	14	8	theory	theory	NOUN
ejpam-3408	14	9	of	of	ADP
ejpam-3408	14	10	rings	ring	NOUN
ejpam-3408	14	11	:	:	PUNCT
ejpam-3408	14	12	precisely	precisely	ADV
ejpam-3408	14	13	,	,	PUNCT
ejpam-3408	14	14	the	the	DET
ejpam-3408	14	15	theory	theory	NOUN
ejpam-3408	14	16	of	of	ADP
ejpam-3408	14	17	rings	ring	NOUN
ejpam-3408	14	18	,	,	PUNCT
ejpam-3408	14	19	which	which	PRON
ejpam-3408	14	20	although	although	SCONJ
ejpam-3408	14	21	non	non	ADJ
ejpam-3408	14	22	-	-	ADJ
ejpam-3408	14	23	associative	associative	ADJ
ejpam-3408	14	24	,	,	PUNCT
ejpam-3408	14	25	are	be	AUX
ejpam-3408	14	26	more	more	ADV
ejpam-3408	14	27	or	or	CCONJ
ejpam-3408	14	28	less	less	ADV
ejpam-3408	14	29	connected	connected	ADJ
ejpam-3408	14	30	with	with	ADP
ejpam-3408	14	31	the	the	DET
ejpam-3408	14	32	theory	theory	NOUN
ejpam-3408	14	33	of	of	ADP
ejpam-3408	14	34	associative	associative	ADJ
ejpam-3408	14	35	rings	ring	NOUN
ejpam-3408	14	36	.	.	PUNCT
ejpam-3408	15	1	more	more	ADV
ejpam-3408	15	2	precise	precise	ADJ
ejpam-3408	15	3	connections	connection	NOUN
ejpam-3408	15	4	will	will	AUX
ejpam-3408	15	5	be	be	AUX
ejpam-3408	15	6	mentioned	mention	VERB
ejpam-3408	15	7	during	during	ADP
ejpam-3408	15	8	the	the	DET
ejpam-3408	15	9	discussion	discussion	NOUN
ejpam-3408	15	10	of	of	ADP
ejpam-3408	15	11	particular	particular	ADJ
ejpam-3408	15	12	classes	class	NOUN
ejpam-3408	15	13	of	of	ADP
ejpam-3408	15	14	rings	ring	NOUN
ejpam-3408	15	15	.	.	PUNCT
ejpam-3408	16	1	∗corresponding	∗corresponde	VERB
ejpam-3408	16	2	author	author	NOUN
ejpam-3408	16	3	.	.	PUNCT
ejpam-3408	17	1	doi	doi	PROPN
ejpam-3408	17	2	:	:	PUNCT
ejpam-3408	17	3	https://doi.org/10.29020/nybg.ejpam.v12i2.3408	https://doi.org/10.29020/nybg.ejpam.v12i2.3408	PROPN
ejpam-3408	17	4	email	email	NOUN
ejpam-3408	17	5	addresses	address	NOUN
ejpam-3408	17	6	:	:	PUNCT
ejpam-3408	17	7	asima.razzaque@yahoo.com	asima.razzaque@yahoo.com	X
ejpam-3408	17	8	(	(	PUNCT
ejpam-3408	17	9	a.	a.	NOUN
ejpam-3408	17	10	razzaque	razzaque	NOUN
ejpam-3408	17	11	)	)	PUNCT
ejpam-3408	17	12	,	,	PUNCT
ejpam-3408	17	13	stariqshah@gmail.com	stariqshah@gmail.com	X
ejpam-3408	17	14	(	(	PUNCT
ejpam-3408	17	15	t.	t.	NOUN
ejpam-3408	17	16	shah	shah	PROPN
ejpam-3408	17	17	)	)	PUNCT
ejpam-3408	17	18	,	,	PUNCT
ejpam-3408	17	19	irehman@du.edu.om	irehman@du.edu.om	PROPN
ejpam-3408	17	20	(	(	PUNCT
ejpam-3408	17	21	i.	i.	PROPN
ejpam-3408	17	22	rehman	rehman	PROPN
ejpam-3408	17	23	)	)	PUNCT
ejpam-3408	17	24	,	,	PUNCT
ejpam-3408	17	25	mgondal@du.edu.om	mgondal@du.edu.om	PROPN
ejpam-3408	17	26	(	(	PUNCT
ejpam-3408	17	27	m.	m.	NOUN
ejpam-3408	17	28	a.	a.	NOUN
ejpam-3408	17	29	gondal	gondal	PROPN
ejpam-3408	17	30	)	)	PUNCT
ejpam-3408	17	31	,	,	PUNCT
ejpam-3408	17	32	farazm@gvsu.edu	farazm@gvsu.edu	PROPN
ejpam-3408	17	33	(	(	PUNCT
ejpam-3408	17	34	m.	m.	PROPN
ejpam-3408	17	35	i.	i.	PROPN
ejpam-3408	17	36	faraz	faraz	PROPN
ejpam-3408	17	37	)	)	PUNCT
ejpam-3408	17	38	,	,	PUNCT
ejpam-3408	17	39	kpshum@ynu.edu.cn	kpshum@ynu.edu.cn	PROPN
ejpam-3408	17	40	(	(	PUNCT
ejpam-3408	17	41	k.	k.	PROPN
ejpam-3408	17	42	p.	p.	PROPN
ejpam-3408	17	43	shum	shum	PROPN
ejpam-3408	17	44	)	)	PUNCT
ejpam-3408	17	45	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3408	18	1	370	370	NUM
ejpam-3408	18	2	c	c	X
ejpam-3408	18	3	©	©	PROPN
ejpam-3408	18	4	2019	2019	NUM
ejpam-3408	18	5	ejpam	ejpam	NOUN
ejpam-3408	18	6	all	all	DET
ejpam-3408	18	7	rights	right	NOUN
ejpam-3408	18	8	reserved	reserve	VERB
ejpam-3408	18	9	.	.	PUNCT
ejpam-3408	19	1	a.	a.	NOUN
ejpam-3408	19	2	razzaque	razzaque	PROPN
ejpam-3408	20	1	et	et	PROPN
ejpam-3408	20	2	al	al	PROPN
ejpam-3408	20	3	.	.	PUNCT
ejpam-3408	20	4	/	/	SYM
ejpam-3408	20	5	eur	eur	PROPN
ejpam-3408	20	6	.	.	PUNCT
ejpam-3408	21	1	j.	j.	PROPN
ejpam-3408	21	2	pure	pure	PROPN
ejpam-3408	21	3	appl	appl	PROPN
ejpam-3408	21	4	.	.	PROPN
ejpam-3408	21	5	math	math	PROPN
ejpam-3408	21	6	,	,	PUNCT
ejpam-3408	21	7	12	12	NUM
ejpam-3408	21	8	(	(	PUNCT
ejpam-3408	21	9	2	2	NUM
ejpam-3408	21	10	)	)	PUNCT
ejpam-3408	21	11	(	(	PUNCT
ejpam-3408	21	12	2019	2019	NUM
ejpam-3408	21	13	)	)	PUNCT
ejpam-3408	21	14	,	,	PUNCT
ejpam-3408	21	15	370	370	NUM
ejpam-3408	21	16	-	-	SYM
ejpam-3408	21	17	408	408	NUM
ejpam-3408	21	18	371	371	NUM
ejpam-3408	21	19	a	a	DET
ejpam-3408	21	20	major	major	ADJ
ejpam-3408	21	21	change	change	NOUN
ejpam-3408	21	22	took	take	VERB
ejpam-3408	21	23	place	place	NOUN
ejpam-3408	21	24	in	in	ADP
ejpam-3408	21	25	the	the	DET
ejpam-3408	21	26	mid	mid	NOUN
ejpam-3408	21	27	of	of	ADP
ejpam-3408	21	28	19th	19th	ADJ
ejpam-3408	21	29	century	century	NOUN
ejpam-3408	21	30	when	when	SCONJ
ejpam-3408	21	31	the	the	DET
ejpam-3408	21	32	concept	concept	NOUN
ejpam-3408	21	33	of	of	ADP
ejpam-3408	21	34	non	non	ADJ
ejpam-3408	21	35	-	-	ADJ
ejpam-3408	21	36	associative	associative	ADJ
ejpam-3408	21	37	rings	ring	NOUN
ejpam-3408	21	38	and	and	CCONJ
ejpam-3408	21	39	non	non	ADJ
ejpam-3408	21	40	-	-	ADJ
ejpam-3408	21	41	associative	associative	ADJ
ejpam-3408	21	42	algebras	algebra	NOUN
ejpam-3408	21	43	were	be	AUX
ejpam-3408	21	44	introduced	introduce	VERB
ejpam-3408	21	45	.	.	PUNCT
ejpam-3408	22	1	the	the	DET
ejpam-3408	22	2	theory	theory	NOUN
ejpam-3408	22	3	of	of	ADP
ejpam-3408	22	4	non	non	ADJ
ejpam-3408	22	5	-	-	ADJ
ejpam-3408	22	6	associative	associative	ADJ
ejpam-3408	22	7	rings	ring	NOUN
ejpam-3408	22	8	and	and	CCONJ
ejpam-3408	22	9	algebras	algebras	PROPN
ejpam-3408	22	10	has	have	AUX
ejpam-3408	22	11	evolved	evolve	VERB
ejpam-3408	22	12	into	into	ADP
ejpam-3408	22	13	an	an	DET
ejpam-3408	22	14	independent	independent	ADJ
ejpam-3408	22	15	branch	branch	NOUN
ejpam-3408	22	16	of	of	ADP
ejpam-3408	22	17	algebra	algebra	NOUN
ejpam-3408	22	18	,	,	PUNCT
ejpam-3408	22	19	exhibiting	exhibit	VERB
ejpam-3408	22	20	many	many	ADJ
ejpam-3408	22	21	points	point	NOUN
ejpam-3408	22	22	of	of	ADP
ejpam-3408	22	23	contact	contact	NOUN
ejpam-3408	22	24	with	with	ADP
ejpam-3408	22	25	other	other	ADJ
ejpam-3408	22	26	fields	field	NOUN
ejpam-3408	22	27	of	of	ADP
ejpam-3408	22	28	mathematics	mathematic	NOUN
ejpam-3408	22	29	and	and	CCONJ
ejpam-3408	22	30	also	also	ADV
ejpam-3408	22	31	with	with	ADP
ejpam-3408	22	32	physics	physics	NOUN
ejpam-3408	22	33	,	,	PUNCT
ejpam-3408	22	34	mechanics	mechanic	NOUN
ejpam-3408	22	35	,	,	PUNCT
ejpam-3408	22	36	biology	biology	NOUN
ejpam-3408	22	37	,	,	PUNCT
ejpam-3408	22	38	and	and	CCONJ
ejpam-3408	22	39	other	other	ADJ
ejpam-3408	22	40	sciences	science	NOUN
ejpam-3408	22	41	.	.	PUNCT
ejpam-3408	23	1	the	the	DET
ejpam-3408	23	2	central	central	ADJ
ejpam-3408	23	3	part	part	NOUN
ejpam-3408	23	4	of	of	ADP
ejpam-3408	23	5	the	the	DET
ejpam-3408	23	6	theory	theory	NOUN
ejpam-3408	23	7	is	be	AUX
ejpam-3408	23	8	the	the	DET
ejpam-3408	23	9	theory	theory	NOUN
ejpam-3408	23	10	of	of	ADP
ejpam-3408	23	11	what	what	PRON
ejpam-3408	23	12	are	be	AUX
ejpam-3408	23	13	known	know	VERB
ejpam-3408	23	14	as	as	ADP
ejpam-3408	23	15	nearly	nearly	ADV
ejpam-3408	23	16	-	-	PUNCT
ejpam-3408	23	17	associative	associative	ADJ
ejpam-3408	23	18	rings	ring	NOUN
ejpam-3408	23	19	and	and	CCONJ
ejpam-3408	23	20	algebras	algebra	NOUN
ejpam-3408	23	21	:	:	PUNCT
ejpam-3408	23	22	lie	lie	NOUN
ejpam-3408	23	23	,	,	PUNCT
ejpam-3408	23	24	alternative	alternative	NOUN
ejpam-3408	23	25	,	,	PUNCT
ejpam-3408	23	26	jordan	jordan	PROPN
ejpam-3408	23	27	,	,	PUNCT
ejpam-3408	23	28	loop	loop	NOUN
ejpam-3408	23	29	rings	ring	NOUN
ejpam-3408	23	30	and	and	CCONJ
ejpam-3408	23	31	algebras	algebra	NOUN
ejpam-3408	23	32	,	,	PUNCT
ejpam-3408	23	33	and	and	CCONJ
ejpam-3408	23	34	some	some	PRON
ejpam-3408	23	35	of	of	ADP
ejpam-3408	23	36	their	their	PRON
ejpam-3408	23	37	generalizations	generalization	NOUN
ejpam-3408	23	38	.	.	PUNCT
ejpam-3408	24	1	we	we	PRON
ejpam-3408	24	2	briefly	briefly	ADV
ejpam-3408	24	3	describe	describe	VERB
ejpam-3408	24	4	the	the	DET
ejpam-3408	24	5	origins	origin	NOUN
ejpam-3408	24	6	of	of	ADP
ejpam-3408	24	7	the	the	DET
ejpam-3408	24	8	theory	theory	NOUN
ejpam-3408	24	9	of	of	ADP
ejpam-3408	24	10	non	non	ADJ
ejpam-3408	24	11	-	-	ADJ
ejpam-3408	24	12	associative	associative	ADJ
ejpam-3408	24	13	rings	ring	NOUN
ejpam-3408	24	14	.	.	PUNCT
ejpam-3408	25	1	the	the	DET
ejpam-3408	25	2	oldest	old	ADJ
ejpam-3408	25	3	nonassociative	nonassociative	ADJ
ejpam-3408	25	4	operation	operation	NOUN
ejpam-3408	25	5	used	use	VERB
ejpam-3408	25	6	by	by	ADP
ejpam-3408	25	7	mankind	mankind	NOUN
ejpam-3408	25	8	was	be	AUX
ejpam-3408	25	9	plain	plain	ADJ
ejpam-3408	25	10	subtraction	subtraction	NOUN
ejpam-3408	25	11	of	of	ADP
ejpam-3408	25	12	natural	natural	ADJ
ejpam-3408	25	13	numbers	number	NOUN
ejpam-3408	25	14	.	.	PUNCT
ejpam-3408	26	1	the	the	DET
ejpam-3408	26	2	first	first	ADJ
ejpam-3408	26	3	ever	ever	ADJ
ejpam-3408	26	4	example	example	NOUN
ejpam-3408	26	5	of	of	ADP
ejpam-3408	26	6	a	a	DET
ejpam-3408	26	7	ring	ring	NOUN
ejpam-3408	26	8	that	that	PRON
ejpam-3408	26	9	is	be	AUX
ejpam-3408	26	10	non	non	ADJ
ejpam-3408	26	11	-	-	ADJ
ejpam-3408	26	12	associative	associative	ADJ
ejpam-3408	26	13	is	be	AUX
ejpam-3408	26	14	octonions	octonion	NOUN
ejpam-3408	26	15	,	,	PUNCT
ejpam-3408	26	16	constructed	construct	VERB
ejpam-3408	26	17	by	by	ADP
ejpam-3408	26	18	john	john	PROPN
ejpam-3408	26	19	t.	t.	PROPN
ejpam-3408	26	20	graves	grave	NOUN
ejpam-3408	26	21	in	in	ADP
ejpam-3408	26	22	1843	1843	NUM
ejpam-3408	26	23	.	.	PUNCT
ejpam-3408	27	1	on	on	ADP
ejpam-3408	27	2	the	the	DET
ejpam-3408	27	3	other	other	ADJ
ejpam-3408	27	4	hand	hand	NOUN
ejpam-3408	27	5	the	the	DET
ejpam-3408	27	6	first	first	ADJ
ejpam-3408	27	7	example	example	NOUN
ejpam-3408	27	8	of	of	ADP
ejpam-3408	27	9	an	an	DET
ejpam-3408	27	10	abstract	abstract	ADJ
ejpam-3408	27	11	non	non	ADJ
ejpam-3408	27	12	-	-	ADJ
ejpam-3408	27	13	associative	associative	ADJ
ejpam-3408	27	14	system	system	NOUN
ejpam-3408	27	15	was	be	AUX
ejpam-3408	27	16	cayley	cayley	ADJ
ejpam-3408	27	17	numbers	number	NOUN
ejpam-3408	27	18	,	,	PUNCT
ejpam-3408	27	19	constructed	construct	VERB
ejpam-3408	27	20	by	by	ADP
ejpam-3408	27	21	arthur	arthur	PROPN
ejpam-3408	27	22	cayley	cayley	PROPN
ejpam-3408	27	23	in	in	ADP
ejpam-3408	27	24	1845	1845	NUM
ejpam-3408	27	25	.	.	PUNCT
ejpam-3408	28	1	later	later	ADV
ejpam-3408	28	2	they	they	PRON
ejpam-3408	28	3	were	be	AUX
ejpam-3408	28	4	generalized	generalize	VERB
ejpam-3408	28	5	by	by	ADP
ejpam-3408	28	6	dickson	dickson	PROPN
ejpam-3408	28	7	to	to	ADP
ejpam-3408	28	8	what	what	PRON
ejpam-3408	28	9	we	we	PRON
ejpam-3408	28	10	know	know	VERB
ejpam-3408	28	11	as	as	ADP
ejpam-3408	28	12	cayley	cayley	ADJ
ejpam-3408	28	13	-	-	PUNCT
ejpam-3408	28	14	dickson	dickson	PROPN
ejpam-3408	28	15	algebras	algebras	PROPN
ejpam-3408	28	16	.	.	PUNCT
ejpam-3408	29	1	later	later	ADV
ejpam-3408	29	2	in	in	ADP
ejpam-3408	29	3	1870	1870	NUM
ejpam-3408	29	4	a	a	DET
ejpam-3408	29	5	very	very	ADV
ejpam-3408	29	6	important	important	ADJ
ejpam-3408	29	7	non	non	ADJ
ejpam-3408	29	8	-	-	ADJ
ejpam-3408	29	9	associative	associative	ADJ
ejpam-3408	29	10	class	class	NOUN
ejpam-3408	29	11	known	know	VERB
ejpam-3408	29	12	as	as	ADP
ejpam-3408	29	13	lie	lie	NOUN
ejpam-3408	29	14	theory	theory	NOUN
ejpam-3408	29	15	was	be	AUX
ejpam-3408	29	16	introduced	introduce	VERB
ejpam-3408	29	17	by	by	ADP
ejpam-3408	29	18	the	the	DET
ejpam-3408	29	19	norwegian	norwegian	ADJ
ejpam-3408	29	20	mathematician	mathematician	NOUN
ejpam-3408	29	21	sophus	sophus	PROPN
ejpam-3408	29	22	lie	lie	VERB
ejpam-3408	29	23	.	.	PUNCT
ejpam-3408	30	1	he	he	PRON
ejpam-3408	30	2	employed	employ	VERB
ejpam-3408	30	3	a	a	DET
ejpam-3408	30	4	novel	novel	ADJ
ejpam-3408	30	5	approach	approach	NOUN
ejpam-3408	30	6	,	,	PUNCT
ejpam-3408	30	7	combining	combine	VERB
ejpam-3408	30	8	transformations	transformation	NOUN
ejpam-3408	30	9	that	that	PRON
ejpam-3408	30	10	preserve	preserve	VERB
ejpam-3408	30	11	a	a	DET
ejpam-3408	30	12	type	type	NOUN
ejpam-3408	30	13	of	of	ADP
ejpam-3408	30	14	geometric	geometric	ADJ
ejpam-3408	30	15	structure	structure	NOUN
ejpam-3408	30	16	(	(	PUNCT
ejpam-3408	30	17	specifically	specifically	ADV
ejpam-3408	30	18	,	,	PUNCT
ejpam-3408	30	19	a	a	DET
ejpam-3408	30	20	contact	contact	NOUN
ejpam-3408	30	21	structure	structure	NOUN
ejpam-3408	30	22	)	)	PUNCT
ejpam-3408	30	23	and	and	CCONJ
ejpam-3408	30	24	group	group	NOUN
ejpam-3408	30	25	theory	theory	NOUN
ejpam-3408	30	26	to	to	PART
ejpam-3408	30	27	arrive	arrive	VERB
ejpam-3408	30	28	at	at	ADP
ejpam-3408	30	29	a	a	DET
ejpam-3408	30	30	theory	theory	NOUN
ejpam-3408	30	31	of	of	ADP
ejpam-3408	30	32	continuous	continuous	ADJ
ejpam-3408	30	33	transformation	transformation	NOUN
ejpam-3408	30	34	groups	group	NOUN
ejpam-3408	30	35	[	[	X
ejpam-3408	30	36	189	189	NUM
ejpam-3408	30	37	]	]	PUNCT
ejpam-3408	30	38	.	.	PUNCT
ejpam-3408	31	1	since	since	SCONJ
ejpam-3408	31	2	then	then	ADV
ejpam-3408	31	3	,	,	PUNCT
ejpam-3408	31	4	lie	lie	NOUN
ejpam-3408	31	5	theory	theory	NOUN
ejpam-3408	31	6	has	have	AUX
ejpam-3408	31	7	been	be	AUX
ejpam-3408	31	8	found	find	VERB
ejpam-3408	31	9	to	to	PART
ejpam-3408	31	10	have	have	VERB
ejpam-3408	31	11	many	many	ADJ
ejpam-3408	31	12	applications	application	NOUN
ejpam-3408	31	13	in	in	ADP
ejpam-3408	31	14	different	different	ADJ
ejpam-3408	31	15	areas	area	NOUN
ejpam-3408	31	16	of	of	ADP
ejpam-3408	31	17	mathematics	mathematic	NOUN
ejpam-3408	31	18	,	,	PUNCT
ejpam-3408	31	19	including	include	VERB
ejpam-3408	31	20	the	the	DET
ejpam-3408	31	21	study	study	NOUN
ejpam-3408	31	22	of	of	ADP
ejpam-3408	31	23	special	special	ADJ
ejpam-3408	31	24	functions	function	NOUN
ejpam-3408	31	25	,	,	PUNCT
ejpam-3408	31	26	differential	differential	ADJ
ejpam-3408	31	27	and	and	CCONJ
ejpam-3408	31	28	algebraic	algebraic	ADJ
ejpam-3408	31	29	geometry	geometry	NOUN
ejpam-3408	31	30	,	,	PUNCT
ejpam-3408	31	31	number	number	NOUN
ejpam-3408	31	32	theory	theory	NOUN
ejpam-3408	31	33	,	,	PUNCT
ejpam-3408	31	34	group	group	NOUN
ejpam-3408	31	35	and	and	CCONJ
ejpam-3408	31	36	ring	ring	NOUN
ejpam-3408	31	37	theory	theory	NOUN
ejpam-3408	31	38	,	,	PUNCT
ejpam-3408	31	39	and	and	CCONJ
ejpam-3408	31	40	topology	topology	NOUN
ejpam-3408	32	1	[	[	X
ejpam-3408	32	2	99	99	NUM
ejpam-3408	32	3	,	,	PUNCT
ejpam-3408	32	4	103	103	NUM
ejpam-3408	32	5	,	,	PUNCT
ejpam-3408	32	6	109	109	NUM
ejpam-3408	32	7	]	]	PUNCT
ejpam-3408	32	8	.	.	PUNCT
ejpam-3408	33	1	it	it	PRON
ejpam-3408	33	2	has	have	AUX
ejpam-3408	33	3	also	also	ADV
ejpam-3408	33	4	become	become	VERB
ejpam-3408	33	5	instrumental	instrumental	ADJ
ejpam-3408	33	6	in	in	ADP
ejpam-3408	33	7	parts	part	NOUN
ejpam-3408	33	8	of	of	ADP
ejpam-3408	33	9	physics	physics	NOUN
ejpam-3408	33	10	,	,	PUNCT
ejpam-3408	33	11	for	for	SCONJ
ejpam-3408	33	12	some	some	DET
ejpam-3408	33	13	lie	lie	NOUN
ejpam-3408	33	14	algebras	algebra	NOUN
ejpam-3408	33	15	arise	arise	VERB
ejpam-3408	33	16	naturally	naturally	ADV
ejpam-3408	33	17	from	from	ADP
ejpam-3408	33	18	symmetries	symmetry	NOUN
ejpam-3408	33	19	in	in	ADP
ejpam-3408	33	20	physical	physical	ADJ
ejpam-3408	33	21	systems	system	NOUN
ejpam-3408	33	22	,	,	PUNCT
ejpam-3408	33	23	and	and	CCONJ
ejpam-3408	33	24	is	be	AUX
ejpam-3408	33	25	a	a	DET
ejpam-3408	33	26	powerful	powerful	ADJ
ejpam-3408	33	27	tool	tool	NOUN
ejpam-3408	33	28	in	in	ADP
ejpam-3408	33	29	such	such	ADJ
ejpam-3408	33	30	areas	area	NOUN
ejpam-3408	33	31	as	as	ADP
ejpam-3408	33	32	quantum	quantum	NOUN
ejpam-3408	33	33	and	and	CCONJ
ejpam-3408	33	34	classical	classical	ADJ
ejpam-3408	33	35	and	and	CCONJ
ejpam-3408	33	36	mechanics	mechanic	NOUN
ejpam-3408	33	37	,	,	PUNCT
ejpam-3408	33	38	,	,	PUNCT
ejpam-3408	33	39	solid	solid	ADJ
ejpam-3408	33	40	state	state	NOUN
ejpam-3408	33	41	physics	physics	NOUN
ejpam-3408	33	42	,	,	PUNCT
ejpam-3408	33	43	atomic	atomic	ADJ
ejpam-3408	33	44	spectroscopy	spectroscopy	NOUN
ejpam-3408	33	45	and	and	CCONJ
ejpam-3408	33	46	elementary	elementary	ADJ
ejpam-3408	33	47	particles	particle	NOUN
ejpam-3408	33	48	[	[	X
ejpam-3408	33	49	34	34	NUM
ejpam-3408	33	50	,	,	PUNCT
ejpam-3408	33	51	99	99	NUM
ejpam-3408	33	52	,	,	PUNCT
ejpam-3408	33	53	109	109	NUM
ejpam-3408	33	54	]	]	PUNCT
ejpam-3408	33	55	.	.	PUNCT
ejpam-3408	34	1	no	no	PRON
ejpam-3408	34	2	doubt	doubt	ADV
ejpam-3408	34	3	lie	lie	NOUN
ejpam-3408	34	4	theory	theory	NOUN
ejpam-3408	34	5	is	be	AUX
ejpam-3408	34	6	a	a	DET
ejpam-3408	34	7	fundamental	fundamental	ADJ
ejpam-3408	34	8	part	part	NOUN
ejpam-3408	34	9	of	of	ADP
ejpam-3408	34	10	mathematics	mathematic	NOUN
ejpam-3408	34	11	.	.	PUNCT
ejpam-3408	35	1	the	the	DET
ejpam-3408	35	2	areas	area	NOUN
ejpam-3408	35	3	it	it	PRON
ejpam-3408	35	4	touches	touch	VERB
ejpam-3408	35	5	contain	contain	VERB
ejpam-3408	35	6	classical	classical	ADJ
ejpam-3408	35	7	,	,	PUNCT
ejpam-3408	35	8	differential	differential	ADJ
ejpam-3408	35	9	,	,	PUNCT
ejpam-3408	35	10	and	and	CCONJ
ejpam-3408	35	11	algebraic	algebraic	ADJ
ejpam-3408	35	12	geometry	geometry	NOUN
ejpam-3408	35	13	,	,	PUNCT
ejpam-3408	35	14	topology	topology	NOUN
ejpam-3408	35	15	,	,	PUNCT
ejpam-3408	35	16	ordinary	ordinary	ADJ
ejpam-3408	35	17	and	and	CCONJ
ejpam-3408	35	18	partial	partial	ADJ
ejpam-3408	35	19	differential	differential	NOUN
ejpam-3408	35	20	equations	equation	NOUN
ejpam-3408	35	21	,	,	PUNCT
ejpam-3408	35	22	complex	complex	ADJ
ejpam-3408	35	23	analysis	analysis	NOUN
ejpam-3408	35	24	and	and	CCONJ
ejpam-3408	35	25	etc	etc	X
ejpam-3408	35	26	.	.	X
ejpam-3408	36	1	and	and	CCONJ
ejpam-3408	36	2	it	it	PRON
ejpam-3408	36	3	is	be	AUX
ejpam-3408	36	4	also	also	ADV
ejpam-3408	36	5	an	an	DET
ejpam-3408	36	6	essential	essential	ADJ
ejpam-3408	36	7	chapter	chapter	NOUN
ejpam-3408	36	8	of	of	ADP
ejpam-3408	36	9	contemporary	contemporary	ADJ
ejpam-3408	36	10	mathematics	mathematic	NOUN
ejpam-3408	36	11	.	.	PUNCT
ejpam-3408	37	1	a	a	DET
ejpam-3408	37	2	development	development	NOUN
ejpam-3408	37	3	of	of	ADP
ejpam-3408	37	4	it	it	PRON
ejpam-3408	37	5	is	be	AUX
ejpam-3408	37	6	the	the	DET
ejpam-3408	37	7	uniformization	uniformization	NOUN
ejpam-3408	37	8	theorem	theorem	NOUN
ejpam-3408	37	9	for	for	ADP
ejpam-3408	37	10	riemann	riemann	PROPN
ejpam-3408	37	11	surface	surface	PROPN
ejpam-3408	37	12	.	.	PUNCT
ejpam-3408	38	1	the	the	DET
ejpam-3408	38	2	final	final	ADJ
ejpam-3408	38	3	proof	proof	NOUN
ejpam-3408	38	4	of	of	ADP
ejpam-3408	38	5	such	such	ADJ
ejpam-3408	38	6	theorem	theorem	NOUN
ejpam-3408	38	7	is	be	AUX
ejpam-3408	38	8	the	the	DET
ejpam-3408	38	9	invention	invention	NOUN
ejpam-3408	38	10	from	from	ADP
ejpam-3408	38	11	einstein	einstein	NOUN
ejpam-3408	38	12	to	to	ADP
ejpam-3408	38	13	the	the	DET
ejpam-3408	38	14	special	special	ADJ
ejpam-3408	38	15	theory	theory	NOUN
ejpam-3408	38	16	of	of	ADP
ejpam-3408	38	17	relativity	relativity	NOUN
ejpam-3408	38	18	and	and	CCONJ
ejpam-3408	38	19	the	the	DET
ejpam-3408	38	20	lorentz	lorentz	PROPN
ejpam-3408	38	21	transformation	transformation	NOUN
ejpam-3408	38	22	.	.	PUNCT
ejpam-3408	39	1	the	the	DET
ejpam-3408	39	2	application	application	NOUN
ejpam-3408	39	3	of	of	ADP
ejpam-3408	39	4	lie	lie	NOUN
ejpam-3408	39	5	theory	theory	NOUN
ejpam-3408	39	6	is	be	AUX
ejpam-3408	39	7	astonishing	astonishing	ADJ
ejpam-3408	39	8	.	.	PUNCT
ejpam-3408	40	1	moreover	moreover	ADV
ejpam-3408	40	2	,	,	PUNCT
ejpam-3408	40	3	in	in	ADP
ejpam-3408	40	4	1890	1890	NUM
ejpam-3408	40	5	’s	’	VERB
ejpam-3408	40	6	the	the	DET
ejpam-3408	40	7	concept	concept	NOUN
ejpam-3408	40	8	of	of	ADP
ejpam-3408	40	9	hyperbolic	hyperbolic	ADJ
ejpam-3408	40	10	quaternion	quaternion	NOUN
ejpam-3408	40	11	was	be	AUX
ejpam-3408	40	12	given	give	VERB
ejpam-3408	40	13	by	by	ADP
ejpam-3408	40	14	alexander	alexander	PROPN
ejpam-3408	40	15	macfarlane	macfarlane	PROPN
ejpam-3408	40	16	which	which	PRON
ejpam-3408	40	17	forms	form	VERB
ejpam-3408	40	18	a	a	DET
ejpam-3408	40	19	non	non	ADJ
ejpam-3408	40	20	-	-	ADJ
ejpam-3408	40	21	associative	associative	ADJ
ejpam-3408	40	22	ring	ring	NOUN
ejpam-3408	40	23	that	that	PRON
ejpam-3408	40	24	suggested	suggest	VERB
ejpam-3408	40	25	the	the	DET
ejpam-3408	40	26	mathematical	mathematical	ADJ
ejpam-3408	40	27	footing	footing	NOUN
ejpam-3408	40	28	for	for	ADP
ejpam-3408	40	29	space	space	NOUN
ejpam-3408	40	30	time	time	NOUN
ejpam-3408	40	31	theory	theory	NOUN
ejpam-3408	40	32	that	that	PRON
ejpam-3408	40	33	followed	follow	VERB
ejpam-3408	40	34	later	later	ADV
ejpam-3408	40	35	.	.	PUNCT
ejpam-3408	41	1	furthermore	furthermore	ADV
ejpam-3408	41	2	,	,	PUNCT
ejpam-3408	41	3	to	to	ADP
ejpam-3408	41	4	the	the	DET
ejpam-3408	41	5	best	good	ADJ
ejpam-3408	41	6	of	of	ADP
ejpam-3408	41	7	our	our	PRON
ejpam-3408	41	8	knowledge	knowledge	NOUN
ejpam-3408	41	9	the	the	DET
ejpam-3408	41	10	first	first	ADJ
ejpam-3408	41	11	detailed	detailed	ADJ
ejpam-3408	41	12	discussion	discussion	NOUN
ejpam-3408	41	13	about	about	ADP
ejpam-3408	41	14	alternative	alternative	ADJ
ejpam-3408	41	15	rings	ring	NOUN
ejpam-3408	41	16	was	be	AUX
ejpam-3408	41	17	started	start	VERB
ejpam-3408	41	18	in	in	ADP
ejpam-3408	41	19	1930	1930	NUM
ejpam-3408	41	20	by	by	ADP
ejpam-3408	41	21	the	the	DET
ejpam-3408	41	22	german	german	ADJ
ejpam-3408	41	23	author	author	NOUN
ejpam-3408	41	24	zorn	zorn	PUNCT
ejpam-3408	42	1	[	[	X
ejpam-3408	42	2	268–271	268–271	NUM
ejpam-3408	42	3	]	]	X
ejpam-3408	42	4	.	.	PUNCT
ejpam-3408	43	1	for	for	ADP
ejpam-3408	43	2	more	more	ADJ
ejpam-3408	43	3	study	study	NOUN
ejpam-3408	43	4	about	about	ADP
ejpam-3408	43	5	this	this	DET
ejpam-3408	43	6	nonassociative	nonassociative	ADJ
ejpam-3408	43	7	structure	structure	NOUN
ejpam-3408	43	8	we	we	PRON
ejpam-3408	43	9	refer	refer	VERB
ejpam-3408	43	10	the	the	DET
ejpam-3408	43	11	readers	reader	NOUN
ejpam-3408	43	12	to	to	PART
ejpam-3408	43	13	study	study	VERB
ejpam-3408	43	14	[	[	X
ejpam-3408	43	15	2	2	NUM
ejpam-3408	43	16	,	,	PUNCT
ejpam-3408	43	17	42	42	NUM
ejpam-3408	43	18	,	,	PUNCT
ejpam-3408	43	19	110	110	NUM
ejpam-3408	43	20	,	,	PUNCT
ejpam-3408	43	21	205–207	205–207	NUM
ejpam-3408	43	22	]	]	PUNCT
ejpam-3408	43	23	.	.	PUNCT
ejpam-3408	44	1	another	another	DET
ejpam-3408	44	2	important	important	ADJ
ejpam-3408	44	3	class	class	NOUN
ejpam-3408	44	4	of	of	ADP
ejpam-3408	44	5	non	non	ADJ
ejpam-3408	44	6	-	-	ADJ
ejpam-3408	44	7	associative	associative	ADJ
ejpam-3408	44	8	structures	structure	NOUN
ejpam-3408	44	9	was	be	AUX
ejpam-3408	44	10	introduced	introduce	VERB
ejpam-3408	44	11	in	in	ADP
ejpam-3408	44	12	1932	1932	NUM
ejpam-3408	44	13	-	-	SYM
ejpam-3408	44	14	1933	1933	NUM
ejpam-3408	44	15	by	by	ADP
ejpam-3408	44	16	german	german	ADJ
ejpam-3408	44	17	specialist	specialist	PROPN
ejpam-3408	44	18	pasqual	pasqual	PROPN
ejpam-3408	44	19	jordan	jordan	PROPN
ejpam-3408	44	20	in	in	ADP
ejpam-3408	44	21	his	his	PRON
ejpam-3408	44	22	algebraic	algebraic	ADJ
ejpam-3408	44	23	formulation	formulation	NOUN
ejpam-3408	44	24	of	of	ADP
ejpam-3408	44	25	quantum	quantum	ADJ
ejpam-3408	44	26	mechanics	mechanic	NOUN
ejpam-3408	44	27	.	.	PUNCT
ejpam-3408	45	1	jordan	jordan	PROPN
ejpam-3408	45	2	structures	structure	NOUN
ejpam-3408	45	3	also	also	ADV
ejpam-3408	45	4	appear	appear	VERB
ejpam-3408	45	5	in	in	ADP
ejpam-3408	45	6	quantum	quantum	ADJ
ejpam-3408	45	7	group	group	NOUN
ejpam-3408	45	8	theory	theory	NOUN
ejpam-3408	45	9	,	,	PUNCT
ejpam-3408	45	10	and	and	CCONJ
ejpam-3408	45	11	exceptional	exceptional	ADJ
ejpam-3408	45	12	jordan	jordan	PROPN
ejpam-3408	45	13	algebras	algebras	PROPN
ejpam-3408	45	14	play	play	VERB
ejpam-3408	45	15	an	an	DET
ejpam-3408	45	16	important	important	ADJ
ejpam-3408	45	17	role	role	NOUN
ejpam-3408	45	18	in	in	ADP
ejpam-3408	45	19	recent	recent	ADJ
ejpam-3408	45	20	fundamental	fundamental	ADJ
ejpam-3408	45	21	physical	physical	ADJ
ejpam-3408	45	22	theories	theory	NOUN
ejpam-3408	45	23	,	,	PUNCT
ejpam-3408	45	24	namely	namely	ADV
ejpam-3408	45	25	,	,	PUNCT
ejpam-3408	45	26	in	in	ADP
ejpam-3408	45	27	the	the	DET
ejpam-3408	45	28	theory	theory	NOUN
ejpam-3408	45	29	of	of	ADP
ejpam-3408	45	30	super	super	NOUN
ejpam-3408	45	31	-	-	NOUN
ejpam-3408	45	32	strings	string	NOUN
ejpam-3408	45	33	[	[	X
ejpam-3408	45	34	107	107	NUM
ejpam-3408	45	35	]	]	PUNCT
ejpam-3408	45	36	.	.	PUNCT
ejpam-3408	46	1	the	the	DET
ejpam-3408	46	2	systematic	systematic	ADJ
ejpam-3408	46	3	study	study	NOUN
ejpam-3408	46	4	of	of	ADP
ejpam-3408	46	5	general	general	PROPN
ejpam-3408	46	6	jordan	jordan	PROPN
ejpam-3408	46	7	algebras	algebras	PROPN
ejpam-3408	46	8	was	be	AUX
ejpam-3408	46	9	started	start	VERB
ejpam-3408	46	10	by	by	ADP
ejpam-3408	46	11	albert	albert	PROPN
ejpam-3408	46	12	in	in	ADP
ejpam-3408	46	13	1946	1946	NUM
ejpam-3408	46	14	.	.	PUNCT
ejpam-3408	47	1	in	in	ADP
ejpam-3408	47	2	addition	addition	NOUN
ejpam-3408	47	3	,	,	PUNCT
ejpam-3408	47	4	the	the	DET
ejpam-3408	47	5	study	study	NOUN
ejpam-3408	47	6	of	of	ADP
ejpam-3408	47	7	loops	loop	NOUN
ejpam-3408	47	8	started	start	VERB
ejpam-3408	47	9	in	in	ADP
ejpam-3408	47	10	1920	1920	NUM
ejpam-3408	47	11	’s	’s	PART
ejpam-3408	47	12	and	and	CCONJ
ejpam-3408	47	13	these	these	PRON
ejpam-3408	47	14	were	be	AUX
ejpam-3408	47	15	introduced	introduce	VERB
ejpam-3408	47	16	formally	formally	ADV
ejpam-3408	47	17	first	first	ADJ
ejpam-3408	47	18	time	time	NOUN
ejpam-3408	47	19	in	in	ADP
ejpam-3408	47	20	1930	1930	NUM
ejpam-3408	47	21	’s	’s	PART
ejpam-3408	47	22	[	[	X
ejpam-3408	47	23	200	200	NUM
ejpam-3408	47	24	]	]	PUNCT
ejpam-3408	47	25	.	.	PUNCT
ejpam-3408	48	1	the	the	DET
ejpam-3408	48	2	theory	theory	NOUN
ejpam-3408	48	3	of	of	ADP
ejpam-3408	48	4	loops	loop	NOUN
ejpam-3408	48	5	has	have	VERB
ejpam-3408	48	6	its	its	PRON
ejpam-3408	48	7	roots	root	NOUN
ejpam-3408	48	8	in	in	ADP
ejpam-3408	48	9	geometry	geometry	NOUN
ejpam-3408	48	10	,	,	PUNCT
ejpam-3408	48	11	algebra	algebra	NOUN
ejpam-3408	48	12	and	and	CCONJ
ejpam-3408	48	13	combinatorics	combinatoric	NOUN
ejpam-3408	48	14	.	.	PUNCT
ejpam-3408	49	1	this	this	PRON
ejpam-3408	49	2	can	can	AUX
ejpam-3408	49	3	be	be	AUX
ejpam-3408	49	4	found	find	VERB
ejpam-3408	49	5	in	in	ADP
ejpam-3408	49	6	nonassociative	nonassociative	ADJ
ejpam-3408	49	7	products	product	NOUN
ejpam-3408	49	8	in	in	ADP
ejpam-3408	49	9	algebra	algebra	NOUN
ejpam-3408	49	10	,	,	PUNCT
ejpam-3408	49	11	in	in	ADP
ejpam-3408	49	12	combinatorics	combinatoric	NOUN
ejpam-3408	49	13	it	it	PRON
ejpam-3408	49	14	is	be	AUX
ejpam-3408	49	15	presented	present	VERB
ejpam-3408	49	16	in	in	ADP
ejpam-3408	49	17	latin	latin	ADJ
ejpam-3408	49	18	squares	square	NOUN
ejpam-3408	49	19	of	of	ADP
ejpam-3408	49	20	particular	particular	ADJ
ejpam-3408	49	21	form	form	NOUN
ejpam-3408	49	22	and	and	CCONJ
ejpam-3408	49	23	in	in	ADP
ejpam-3408	49	24	geometry	geometry	NOUN
ejpam-3408	49	25	it	it	PRON
ejpam-3408	49	26	has	have	VERB
ejpam-3408	49	27	connection	connection	NOUN
ejpam-3408	49	28	with	with	ADP
ejpam-3408	49	29	the	the	DET
ejpam-3408	49	30	analysis	analysis	NOUN
ejpam-3408	49	31	of	of	ADP
ejpam-3408	49	32	web	web	NOUN
ejpam-3408	49	33	structures	structure	NOUN
ejpam-3408	49	34	[	[	X
ejpam-3408	49	35	199	199	NUM
ejpam-3408	49	36	]	]	PUNCT
ejpam-3408	49	37	.	.	PUNCT
ejpam-3408	50	1	a	a	DET
ejpam-3408	50	2	detailed	detailed	ADJ
ejpam-3408	50	3	study	study	NOUN
ejpam-3408	50	4	of	of	ADP
ejpam-3408	50	5	theory	theory	NOUN
ejpam-3408	50	6	of	of	ADP
ejpam-3408	50	7	the	the	DET
ejpam-3408	50	8	loops	loop	NOUN
ejpam-3408	50	9	can	can	AUX
ejpam-3408	50	10	be	be	AUX
ejpam-3408	50	11	found	find	VERB
ejpam-3408	50	12	in	in	ADP
ejpam-3408	50	13	[	[	X
ejpam-3408	50	14	3	3	NUM
ejpam-3408	50	15	,	,	PUNCT
ejpam-3408	50	16	4	4	NUM
ejpam-3408	50	17	,	,	PUNCT
ejpam-3408	50	18	21–23	21–23	NUM
ejpam-3408	50	19	,	,	PUNCT
ejpam-3408	50	20	199	199	NUM
ejpam-3408	50	21	]	]	PUNCT
ejpam-3408	50	22	.	.	PUNCT
ejpam-3408	51	1	historically	historically	ADV
ejpam-3408	51	2	,	,	PUNCT
ejpam-3408	51	3	the	the	DET
ejpam-3408	51	4	concept	concept	NOUN
ejpam-3408	51	5	of	of	ADP
ejpam-3408	51	6	a.	a.	NOUN
ejpam-3408	51	7	razzaque	razzaque	PROPN
ejpam-3408	51	8	et	et	PROPN
ejpam-3408	51	9	al	al	PROPN
ejpam-3408	51	10	.	.	PUNCT
ejpam-3408	51	11	/	/	SYM
ejpam-3408	51	12	eur	eur	PROPN
ejpam-3408	51	13	.	.	PUNCT
ejpam-3408	52	1	j.	j.	PROPN
ejpam-3408	52	2	pure	pure	PROPN
ejpam-3408	52	3	appl	appl	PROPN
ejpam-3408	52	4	.	.	PROPN
ejpam-3408	52	5	math	math	PROPN
ejpam-3408	52	6	,	,	PUNCT
ejpam-3408	52	7	12	12	NUM
ejpam-3408	52	8	(	(	PUNCT
ejpam-3408	52	9	2	2	NUM
ejpam-3408	52	10	)	)	PUNCT
ejpam-3408	52	11	(	(	PUNCT
ejpam-3408	52	12	2019	2019	NUM
ejpam-3408	52	13	)	)	PUNCT
ejpam-3408	52	14	,	,	PUNCT
ejpam-3408	52	15	370	370	NUM
ejpam-3408	52	16	-	-	SYM
ejpam-3408	52	17	408	408	NUM
ejpam-3408	52	18	372	372	NUM
ejpam-3408	52	19	a	a	DET
ejpam-3408	52	20	non	non	ADJ
ejpam-3408	52	21	-	-	ADJ
ejpam-3408	52	22	associative	associative	ADJ
ejpam-3408	52	23	loop	loop	NOUN
ejpam-3408	52	24	ring	ring	NOUN
ejpam-3408	52	25	was	be	AUX
ejpam-3408	52	26	introduced	introduce	VERB
ejpam-3408	52	27	in	in	ADP
ejpam-3408	52	28	a	a	DET
ejpam-3408	52	29	paper	paper	NOUN
ejpam-3408	52	30	by	by	ADP
ejpam-3408	52	31	bruck	bruck	NOUN
ejpam-3408	52	32	in	in	ADP
ejpam-3408	52	33	1944	1944	NUM
ejpam-3408	52	34	[	[	X
ejpam-3408	52	35	20	20	NUM
ejpam-3408	52	36	]	]	PUNCT
ejpam-3408	52	37	.	.	PUNCT
ejpam-3408	53	1	non	non	ADJ
ejpam-3408	53	2	-	-	ADJ
ejpam-3408	53	3	associative	associative	ADJ
ejpam-3408	53	4	loop	loop	NOUN
ejpam-3408	53	5	rings	ring	NOUN
ejpam-3408	53	6	appear	appear	VERB
ejpam-3408	53	7	to	to	PART
ejpam-3408	53	8	have	have	AUX
ejpam-3408	53	9	been	be	AUX
ejpam-3408	53	10	little	little	ADV
ejpam-3408	53	11	more	more	ADJ
ejpam-3408	53	12	than	than	ADP
ejpam-3408	53	13	a	a	DET
ejpam-3408	53	14	curiosity	curiosity	NOUN
ejpam-3408	53	15	until	until	ADP
ejpam-3408	53	16	the	the	DET
ejpam-3408	53	17	1980s	1980	NOUN
ejpam-3408	53	18	when	when	SCONJ
ejpam-3408	53	19	the	the	DET
ejpam-3408	53	20	author	author	NOUN
ejpam-3408	53	21	found	find	VERB
ejpam-3408	53	22	a	a	DET
ejpam-3408	53	23	class	class	NOUN
ejpam-3408	53	24	of	of	ADP
ejpam-3408	53	25	non	non	ADJ
ejpam-3408	53	26	-	-	ADJ
ejpam-3408	53	27	associative	associative	ADJ
ejpam-3408	53	28	moufang	moufang	PROPN
ejpam-3408	53	29	loops	loop	NOUN
ejpam-3408	53	30	whose	whose	DET
ejpam-3408	53	31	loop	loop	NOUN
ejpam-3408	53	32	rings	ring	NOUN
ejpam-3408	53	33	satisfy	satisfy	VERB
ejpam-3408	53	34	the	the	DET
ejpam-3408	53	35	alternative	alternative	ADJ
ejpam-3408	53	36	laws	law	NOUN
ejpam-3408	53	37	.	.	PUNCT
ejpam-3408	54	1	after	after	ADP
ejpam-3408	54	2	the	the	DET
ejpam-3408	54	3	concept	concept	NOUN
ejpam-3408	54	4	of	of	ADP
ejpam-3408	54	5	loop	loop	NOUN
ejpam-3408	54	6	rings	ring	NOUN
ejpam-3408	54	7	(	(	PUNCT
ejpam-3408	54	8	1944	1944	NUM
ejpam-3408	54	9	)	)	PUNCT
ejpam-3408	54	10	,	,	PUNCT
ejpam-3408	54	11	a	a	DET
ejpam-3408	54	12	new	new	ADJ
ejpam-3408	54	13	class	class	NOUN
ejpam-3408	54	14	of	of	ADP
ejpam-3408	54	15	non	non	ADJ
ejpam-3408	54	16	-	-	ADJ
ejpam-3408	54	17	associative	associative	ADJ
ejpam-3408	54	18	ring	ring	NOUN
ejpam-3408	54	19	theory	theory	NOUN
ejpam-3408	54	20	was	be	AUX
ejpam-3408	54	21	given	give	VERB
ejpam-3408	54	22	by	by	ADP
ejpam-3408	54	23	yusuf	yusuf	PROPN
ejpam-3408	54	24	in	in	ADP
ejpam-3408	54	25	2006	2006	NUM
ejpam-3408	54	26	[	[	X
ejpam-3408	54	27	265	265	NUM
ejpam-3408	54	28	]	]	PUNCT
ejpam-3408	54	29	.	.	PUNCT
ejpam-3408	55	1	although	although	SCONJ
ejpam-3408	55	2	the	the	DET
ejpam-3408	55	3	concept	concept	NOUN
ejpam-3408	55	4	of	of	ADP
ejpam-3408	55	5	la	la	ADJ
ejpam-3408	55	6	-	-	PUNCT
ejpam-3408	55	7	ring	ring	NOUN
ejpam-3408	55	8	was	be	AUX
ejpam-3408	55	9	given	give	VERB
ejpam-3408	55	10	in	in	ADP
ejpam-3408	55	11	2006	2006	NUM
ejpam-3408	55	12	,	,	PUNCT
ejpam-3408	55	13	but	but	CCONJ
ejpam-3408	55	14	the	the	DET
ejpam-3408	55	15	systematic	systematic	ADJ
ejpam-3408	55	16	study	study	NOUN
ejpam-3408	55	17	and	and	CCONJ
ejpam-3408	55	18	further	further	ADJ
ejpam-3408	55	19	developments	development	NOUN
ejpam-3408	55	20	was	be	AUX
ejpam-3408	55	21	started	start	VERB
ejpam-3408	55	22	in	in	ADP
ejpam-3408	55	23	2010	2010	NUM
ejpam-3408	55	24	by	by	ADP
ejpam-3408	55	25	shah	shah	PROPN
ejpam-3408	55	26	and	and	CCONJ
ejpam-3408	55	27	rehman	rehman	NOUN
ejpam-3408	55	28	in	in	ADP
ejpam-3408	55	29	their	their	PRON
ejpam-3408	55	30	paper	paper	NOUN
ejpam-3408	56	1	[	[	X
ejpam-3408	56	2	215	215	NUM
ejpam-3408	56	3	]	]	PUNCT
ejpam-3408	56	4	.	.	PUNCT
ejpam-3408	57	1	it	it	PRON
ejpam-3408	57	2	is	be	AUX
ejpam-3408	57	3	worth	worth	ADJ
ejpam-3408	57	4	mentioning	mention	VERB
ejpam-3408	57	5	that	that	SCONJ
ejpam-3408	57	6	this	this	DET
ejpam-3408	57	7	new	new	ADJ
ejpam-3408	57	8	class	class	NOUN
ejpam-3408	57	9	of	of	ADP
ejpam-3408	57	10	non	non	ADJ
ejpam-3408	57	11	-	-	ADJ
ejpam-3408	57	12	associative	associative	ADJ
ejpam-3408	57	13	rings	ring	NOUN
ejpam-3408	57	14	named	name	VERB
ejpam-3408	57	15	left	leave	VERB
ejpam-3408	57	16	almost	almost	ADV
ejpam-3408	57	17	rings	ring	NOUN
ejpam-3408	57	18	(	(	PUNCT
ejpam-3408	57	19	la	la	ADJ
ejpam-3408	57	20	-	-	PUNCT
ejpam-3408	57	21	ring	ring	NOUN
ejpam-3408	57	22	)	)	PUNCT
ejpam-3408	57	23	is	be	AUX
ejpam-3408	57	24	introduced	introduce	VERB
ejpam-3408	57	25	after	after	ADP
ejpam-3408	57	26	a	a	DET
ejpam-3408	57	27	huge	huge	ADJ
ejpam-3408	57	28	gap	gap	NOUN
ejpam-3408	57	29	of	of	ADP
ejpam-3408	57	30	6	6	NUM
ejpam-3408	57	31	decades	decade	NOUN
ejpam-3408	57	32	since	since	SCONJ
ejpam-3408	57	33	the	the	DET
ejpam-3408	57	34	introduction	introduction	NOUN
ejpam-3408	57	35	of	of	ADP
ejpam-3408	57	36	loop	loop	NOUN
ejpam-3408	57	37	rings	ring	NOUN
ejpam-3408	57	38	.	.	PUNCT
ejpam-3408	58	1	left	leave	VERB
ejpam-3408	58	2	almost	almost	ADV
ejpam-3408	58	3	rings	ring	NOUN
ejpam-3408	58	4	(	(	PUNCT
ejpam-3408	58	5	la	la	ADJ
ejpam-3408	58	6	-	-	PUNCT
ejpam-3408	58	7	ring	ring	NOUN
ejpam-3408	58	8	)	)	PUNCT
ejpam-3408	58	9	is	be	AUX
ejpam-3408	58	10	actually	actually	ADV
ejpam-3408	58	11	an	an	DET
ejpam-3408	58	12	off	off	ADJ
ejpam-3408	58	13	shoot	shoot	NOUN
ejpam-3408	58	14	of	of	ADP
ejpam-3408	58	15	la	la	ADJ
ejpam-3408	58	16	-	-	PUNCT
ejpam-3408	58	17	semigroup	semigroup	PROPN
ejpam-3408	58	18	and	and	CCONJ
ejpam-3408	58	19	la	la	NOUN
ejpam-3408	58	20	-	-	NOUN
ejpam-3408	58	21	group	group	NOUN
ejpam-3408	58	22	.	.	PUNCT
ejpam-3408	59	1	it	it	PRON
ejpam-3408	59	2	is	be	AUX
ejpam-3408	59	3	a	a	DET
ejpam-3408	59	4	noncommutative	noncommutative	ADJ
ejpam-3408	59	5	and	and	CCONJ
ejpam-3408	59	6	non	non	ADJ
ejpam-3408	59	7	-	-	ADJ
ejpam-3408	59	8	associative	associative	ADJ
ejpam-3408	59	9	structure	structure	NOUN
ejpam-3408	59	10	and	and	CCONJ
ejpam-3408	59	11	gradually	gradually	ADV
ejpam-3408	59	12	due	due	ADP
ejpam-3408	59	13	to	to	ADP
ejpam-3408	59	14	its	its	PRON
ejpam-3408	59	15	peculiar	peculiar	ADJ
ejpam-3408	59	16	characteristics	characteristic	NOUN
ejpam-3408	59	17	it	it	PRON
ejpam-3408	59	18	has	have	AUX
ejpam-3408	59	19	been	be	AUX
ejpam-3408	59	20	emerging	emerge	VERB
ejpam-3408	59	21	as	as	ADP
ejpam-3408	59	22	useful	useful	ADJ
ejpam-3408	59	23	non	non	ADJ
ejpam-3408	59	24	-	-	ADJ
ejpam-3408	59	25	associative	associative	ADJ
ejpam-3408	59	26	class	class	NOUN
ejpam-3408	59	27	which	which	PRON
ejpam-3408	59	28	intuitively	intuitively	ADV
ejpam-3408	59	29	would	would	AUX
ejpam-3408	59	30	have	have	VERB
ejpam-3408	59	31	reasonable	reasonable	ADJ
ejpam-3408	59	32	contribution	contribution	NOUN
ejpam-3408	59	33	to	to	PART
ejpam-3408	59	34	enhance	enhance	VERB
ejpam-3408	59	35	non	non	ADJ
ejpam-3408	59	36	-	-	ADJ
ejpam-3408	59	37	associative	associative	ADJ
ejpam-3408	59	38	ring	ring	NOUN
ejpam-3408	59	39	theory	theory	NOUN
ejpam-3408	59	40	.	.	PUNCT
ejpam-3408	60	1	by	by	ADP
ejpam-3408	60	2	an	an	DET
ejpam-3408	60	3	la	la	NOUN
ejpam-3408	60	4	-	-	PUNCT
ejpam-3408	60	5	ring	ring	NOUN
ejpam-3408	60	6	,	,	PUNCT
ejpam-3408	60	7	we	we	PRON
ejpam-3408	60	8	mean	mean	VERB
ejpam-3408	60	9	a	a	DET
ejpam-3408	60	10	non	non	ADJ
ejpam-3408	60	11	-	-	ADJ
ejpam-3408	60	12	empty	empty	ADJ
ejpam-3408	60	13	set	set	VERB
ejpam-3408	60	14	r	r	NOUN
ejpam-3408	60	15	with	with	ADP
ejpam-3408	60	16	at	at	ADV
ejpam-3408	60	17	least	least	ADV
ejpam-3408	60	18	two	two	NUM
ejpam-3408	60	19	elements	element	NOUN
ejpam-3408	60	20	such	such	ADJ
ejpam-3408	60	21	that	that	SCONJ
ejpam-3408	60	22	(	(	PUNCT
ejpam-3408	60	23	r,+	r,+	NUM
ejpam-3408	60	24	)	)	PUNCT
ejpam-3408	60	25	is	be	AUX
ejpam-3408	60	26	an	an	DET
ejpam-3408	60	27	la	la	NOUN
ejpam-3408	60	28	-	-	NOUN
ejpam-3408	60	29	group	group	NOUN
ejpam-3408	60	30	,	,	PUNCT
ejpam-3408	60	31	(	(	PUNCT
ejpam-3408	60	32	r	r	NOUN
ejpam-3408	60	33	,	,	PUNCT
ejpam-3408	60	34	.	.	PUNCT
ejpam-3408	60	35	)	)	PUNCT
ejpam-3408	60	36	is	be	AUX
ejpam-3408	60	37	an	an	DET
ejpam-3408	60	38	la	la	ADJ
ejpam-3408	60	39	-	-	PUNCT
ejpam-3408	60	40	semigroup	semigroup	NOUN
ejpam-3408	60	41	,	,	PUNCT
ejpam-3408	60	42	both	both	PRON
ejpam-3408	60	43	left	leave	VERB
ejpam-3408	60	44	and	and	CCONJ
ejpam-3408	60	45	right	right	ADJ
ejpam-3408	60	46	distributive	distributive	ADJ
ejpam-3408	60	47	laws	law	NOUN
ejpam-3408	60	48	hold	hold	VERB
ejpam-3408	60	49	.	.	PUNCT
ejpam-3408	61	1	in	in	ADP
ejpam-3408	61	2	[	[	X
ejpam-3408	61	3	215	215	NUM
ejpam-3408	61	4	]	]	PUNCT
ejpam-3408	61	5	,	,	PUNCT
ejpam-3408	61	6	the	the	DET
ejpam-3408	61	7	authors	author	NOUN
ejpam-3408	61	8	have	have	AUX
ejpam-3408	61	9	discussed	discuss	VERB
ejpam-3408	61	10	la	la	ADJ
ejpam-3408	61	11	-	-	NOUN
ejpam-3408	61	12	ring	ring	NOUN
ejpam-3408	61	13	of	of	ADP
ejpam-3408	61	14	finitely	finitely	ADV
ejpam-3408	61	15	nonzero	nonzero	PROPN
ejpam-3408	61	16	functions	function	NOUN
ejpam-3408	61	17	which	which	PRON
ejpam-3408	61	18	is	be	AUX
ejpam-3408	61	19	in	in	ADP
ejpam-3408	61	20	fact	fact	NOUN
ejpam-3408	61	21	a	a	DET
ejpam-3408	61	22	generalization	generalization	NOUN
ejpam-3408	61	23	of	of	ADP
ejpam-3408	61	24	a	a	DET
ejpam-3408	61	25	commutative	commutative	ADJ
ejpam-3408	61	26	semigroup	semigroup	PROPN
ejpam-3408	61	27	ring	ring	NOUN
ejpam-3408	61	28	.	.	PUNCT
ejpam-3408	62	1	on	on	ADP
ejpam-3408	62	2	the	the	DET
ejpam-3408	62	3	way	way	NOUN
ejpam-3408	62	4	the	the	DET
ejpam-3408	62	5	first	first	ADJ
ejpam-3408	62	6	ever	ever	ADJ
ejpam-3408	62	7	definition	definition	NOUN
ejpam-3408	62	8	of	of	ADP
ejpam-3408	62	9	la	la	NOUN
ejpam-3408	62	10	-	-	NOUN
ejpam-3408	62	11	module	module	NOUN
ejpam-3408	62	12	over	over	ADP
ejpam-3408	62	13	an	an	DET
ejpam-3408	62	14	la	la	NOUN
ejpam-3408	62	15	-	-	PUNCT
ejpam-3408	62	16	ring	ring	NOUN
ejpam-3408	62	17	was	be	AUX
ejpam-3408	62	18	given	give	VERB
ejpam-3408	62	19	by	by	ADP
ejpam-3408	62	20	shah	shah	NOUN
ejpam-3408	62	21	and	and	CCONJ
ejpam-3408	62	22	rehman	rehman	NOUN
ejpam-3408	62	23	in	in	ADP
ejpam-3408	62	24	the	the	DET
ejpam-3408	62	25	same	same	ADJ
ejpam-3408	62	26	paper	paper	NOUN
ejpam-3408	62	27	[	[	X
ejpam-3408	62	28	215	215	NUM
ejpam-3408	62	29	]	]	PUNCT
ejpam-3408	62	30	.	.	PUNCT
ejpam-3408	63	1	moreover	moreover	ADV
ejpam-3408	63	2	,	,	PUNCT
ejpam-3408	63	3	shah	shah	NOUN
ejpam-3408	63	4	and	and	CCONJ
ejpam-3408	63	5	rehman	rehman	NOUN
ejpam-3408	63	6	[	[	X
ejpam-3408	63	7	216	216	NUM
ejpam-3408	63	8	]	]	PUNCT
ejpam-3408	63	9	discussed	discuss	VERB
ejpam-3408	63	10	some	some	DET
ejpam-3408	63	11	properties	property	NOUN
ejpam-3408	63	12	of	of	ADP
ejpam-3408	63	13	larings	laring	NOUN
ejpam-3408	63	14	through	through	ADP
ejpam-3408	63	15	their	their	PRON
ejpam-3408	63	16	ideals	ideal	NOUN
ejpam-3408	63	17	and	and	CCONJ
ejpam-3408	63	18	intuitively	intuitively	ADV
ejpam-3408	63	19	ideal	ideal	ADJ
ejpam-3408	63	20	theory	theory	NOUN
ejpam-3408	63	21	would	would	AUX
ejpam-3408	63	22	be	be	AUX
ejpam-3408	63	23	a	a	DET
ejpam-3408	63	24	gate	gate	ADJ
ejpam-3408	63	25	way	way	NOUN
ejpam-3408	63	26	for	for	ADP
ejpam-3408	63	27	investigating	investigate	VERB
ejpam-3408	63	28	the	the	DET
ejpam-3408	63	29	application	application	NOUN
ejpam-3408	63	30	of	of	ADP
ejpam-3408	63	31	fuzzy	fuzzy	ADJ
ejpam-3408	63	32	sets	set	NOUN
ejpam-3408	63	33	,	,	PUNCT
ejpam-3408	63	34	intuitionistics	intuitionistics	NOUN
ejpam-3408	63	35	fuzzy	fuzzy	ADJ
ejpam-3408	63	36	sets	set	NOUN
ejpam-3408	63	37	and	and	CCONJ
ejpam-3408	63	38	soft	soft	ADJ
ejpam-3408	63	39	sets	set	NOUN
ejpam-3408	63	40	in	in	ADP
ejpam-3408	63	41	la	la	NOUN
ejpam-3408	63	42	-	-	PUNCT
ejpam-3408	63	43	rings	ring	NOUN
ejpam-3408	63	44	.	.	PUNCT
ejpam-3408	64	1	for	for	ADP
ejpam-3408	64	2	example	example	NOUN
ejpam-3408	64	3	,	,	PUNCT
ejpam-3408	64	4	shah	shah	PROPN
ejpam-3408	64	5	et	et	PROPN
ejpam-3408	64	6	al	al	PROPN
ejpam-3408	64	7	.	.	PROPN
ejpam-3408	64	8	,	,	PUNCT
ejpam-3408	64	9	[	[	X
ejpam-3408	64	10	248	248	NUM
ejpam-3408	64	11	]	]	PUNCT
ejpam-3408	64	12	have	have	AUX
ejpam-3408	64	13	applied	apply	VERB
ejpam-3408	64	14	the	the	DET
ejpam-3408	64	15	concept	concept	NOUN
ejpam-3408	64	16	of	of	ADP
ejpam-3408	64	17	intuitionistic	intuitionistic	ADJ
ejpam-3408	64	18	fuzzy	fuzzy	ADJ
ejpam-3408	64	19	sets	set	NOUN
ejpam-3408	64	20	and	and	CCONJ
ejpam-3408	64	21	established	establish	VERB
ejpam-3408	64	22	some	some	DET
ejpam-3408	64	23	useful	useful	ADJ
ejpam-3408	64	24	results	result	NOUN
ejpam-3408	64	25	.	.	PUNCT
ejpam-3408	65	1	in	in	ADP
ejpam-3408	65	2	[	[	X
ejpam-3408	65	3	106	106	NUM
ejpam-3408	65	4	]	]	PUNCT
ejpam-3408	65	5	some	some	DET
ejpam-3408	65	6	computational	computational	ADJ
ejpam-3408	65	7	work	work	NOUN
ejpam-3408	65	8	through	through	ADP
ejpam-3408	65	9	mace4	mace4	PROPN
ejpam-3408	65	10	has	have	AUX
ejpam-3408	65	11	been	be	AUX
ejpam-3408	65	12	done	do	VERB
ejpam-3408	65	13	and	and	CCONJ
ejpam-3408	65	14	some	some	DET
ejpam-3408	65	15	interesting	interesting	ADJ
ejpam-3408	65	16	characteristics	characteristic	NOUN
ejpam-3408	65	17	of	of	ADP
ejpam-3408	65	18	la	la	NOUN
ejpam-3408	65	19	-	-	PUNCT
ejpam-3408	65	20	rings	ring	NOUN
ejpam-3408	65	21	have	have	AUX
ejpam-3408	65	22	been	be	AUX
ejpam-3408	65	23	explored	explore	VERB
ejpam-3408	65	24	.	.	PUNCT
ejpam-3408	66	1	further	further	ADJ
ejpam-3408	66	2	shah	shah	PROPN
ejpam-3408	66	3	et	et	PROPN
ejpam-3408	66	4	al	al	PROPN
ejpam-3408	66	5	.	.	PROPN
ejpam-3408	66	6	,	,	PUNCT
ejpam-3408	67	1	[	[	X
ejpam-3408	67	2	247	247	NUM
ejpam-3408	67	3	]	]	PUNCT
ejpam-3408	67	4	have	have	AUX
ejpam-3408	67	5	promoted	promote	VERB
ejpam-3408	67	6	the	the	DET
ejpam-3408	67	7	concept	concept	NOUN
ejpam-3408	67	8	of	of	ADP
ejpam-3408	67	9	la	la	ADJ
ejpam-3408	67	10	-	-	PUNCT
ejpam-3408	67	11	module	module	NOUN
ejpam-3408	67	12	and	and	CCONJ
ejpam-3408	67	13	established	establish	VERB
ejpam-3408	67	14	some	some	DET
ejpam-3408	67	15	results	result	NOUN
ejpam-3408	67	16	of	of	ADP
ejpam-3408	67	17	isomorphism	isomorphism	NOUN
ejpam-3408	67	18	theorems	theorem	NOUN
ejpam-3408	67	19	and	and	CCONJ
ejpam-3408	67	20	direct	direct	ADJ
ejpam-3408	67	21	sum	sum	NOUN
ejpam-3408	67	22	of	of	ADP
ejpam-3408	67	23	la	la	NOUN
ejpam-3408	67	24	-	-	PUNCT
ejpam-3408	67	25	modules	module	NOUN
ejpam-3408	67	26	.	.	PUNCT
ejpam-3408	68	1	recently	recently	ADV
ejpam-3408	68	2	,	,	PUNCT
ejpam-3408	68	3	in	in	ADP
ejpam-3408	68	4	2014	2014	NUM
ejpam-3408	68	5	,	,	PUNCT
ejpam-3408	68	6	alghamdi	alghamdi	NOUN
ejpam-3408	68	7	and	and	CCONJ
ejpam-3408	68	8	sahraoui	sahraoui	NOUN
ejpam-3408	68	9	[	[	X
ejpam-3408	68	10	8	8	NUM
ejpam-3408	68	11	]	]	PUNCT
ejpam-3408	68	12	have	have	AUX
ejpam-3408	68	13	defined	define	VERB
ejpam-3408	68	14	and	and	CCONJ
ejpam-3408	68	15	constructed	construct	VERB
ejpam-3408	68	16	a	a	DET
ejpam-3408	68	17	tensor	tensor	NOUN
ejpam-3408	68	18	product	product	NOUN
ejpam-3408	68	19	of	of	ADP
ejpam-3408	68	20	la	la	NOUN
ejpam-3408	68	21	-	-	PUNCT
ejpam-3408	68	22	modules	module	NOUN
ejpam-3408	68	23	and	and	CCONJ
ejpam-3408	68	24	they	they	PRON
ejpam-3408	68	25	extended	extend	VERB
ejpam-3408	68	26	some	some	DET
ejpam-3408	68	27	simple	simple	ADJ
ejpam-3408	68	28	results	result	NOUN
ejpam-3408	68	29	from	from	ADP
ejpam-3408	68	30	the	the	DET
ejpam-3408	68	31	ordinary	ordinary	ADJ
ejpam-3408	68	32	tensor	tensor	NOUN
ejpam-3408	68	33	to	to	ADP
ejpam-3408	68	34	the	the	DET
ejpam-3408	68	35	new	new	ADJ
ejpam-3408	68	36	setting	setting	NOUN
ejpam-3408	68	37	.	.	PUNCT
ejpam-3408	69	1	in	in	ADP
ejpam-3408	69	2	2014	2014	NUM
ejpam-3408	69	3	,	,	PUNCT
ejpam-3408	69	4	yiarayong	yiarayong	NOUN
ejpam-3408	70	1	[	[	X
ejpam-3408	70	2	263	263	NUM
ejpam-3408	70	3	]	]	PUNCT
ejpam-3408	70	4	have	have	AUX
ejpam-3408	70	5	given	give	VERB
ejpam-3408	70	6	the	the	DET
ejpam-3408	70	7	new	new	ADJ
ejpam-3408	70	8	concept	concept	NOUN
ejpam-3408	70	9	of	of	ADP
ejpam-3408	70	10	left	left	ADJ
ejpam-3408	70	11	primary	primary	ADJ
ejpam-3408	70	12	and	and	CCONJ
ejpam-3408	70	13	weakly	weakly	ADJ
ejpam-3408	70	14	left	left	ADJ
ejpam-3408	70	15	primary	primary	ADJ
ejpam-3408	70	16	ideals	ideal	NOUN
ejpam-3408	70	17	in	in	ADP
ejpam-3408	70	18	la	la	NOUN
ejpam-3408	70	19	-	-	PUNCT
ejpam-3408	70	20	rings	ring	NOUN
ejpam-3408	70	21	.	.	PUNCT
ejpam-3408	71	1	some	some	DET
ejpam-3408	71	2	characterizations	characterization	NOUN
ejpam-3408	71	3	of	of	ADP
ejpam-3408	71	4	left	left	ADJ
ejpam-3408	71	5	primary	primary	ADJ
ejpam-3408	71	6	and	and	CCONJ
ejpam-3408	71	7	weakly	weakly	ADJ
ejpam-3408	71	8	left	left	ADJ
ejpam-3408	71	9	primary	primary	ADJ
ejpam-3408	71	10	ideals	ideal	NOUN
ejpam-3408	71	11	are	be	AUX
ejpam-3408	71	12	obtained	obtain	VERB
ejpam-3408	71	13	.	.	PUNCT
ejpam-3408	72	1	moreover	moreover	ADV
ejpam-3408	72	2	,	,	PUNCT
ejpam-3408	72	3	in	in	ADP
ejpam-3408	72	4	2015	2015	NUM
ejpam-3408	72	5	hussain	hussain	NOUN
ejpam-3408	72	6	and	and	CCONJ
ejpam-3408	72	7	khan	khan	PROPN
ejpam-3408	73	1	[	[	X
ejpam-3408	73	2	104	104	NUM
ejpam-3408	73	3	]	]	PUNCT
ejpam-3408	73	4	have	have	AUX
ejpam-3408	73	5	characterized	characterize	VERB
ejpam-3408	73	6	la	la	ADJ
ejpam-3408	73	7	-	-	PUNCT
ejpam-3408	73	8	rings	ring	NOUN
ejpam-3408	73	9	by	by	ADP
ejpam-3408	73	10	congruence	congruence	NOUN
ejpam-3408	73	11	relations	relation	NOUN
ejpam-3408	73	12	.	.	PUNCT
ejpam-3408	74	1	they	they	PRON
ejpam-3408	74	2	proved	prove	VERB
ejpam-3408	74	3	that	that	SCONJ
ejpam-3408	74	4	each	each	DET
ejpam-3408	74	5	homomorphism	homomorphism	NOUN
ejpam-3408	74	6	of	of	ADP
ejpam-3408	74	7	left	leave	VERB
ejpam-3408	74	8	almost	almost	ADV
ejpam-3408	74	9	rings	ring	NOUN
ejpam-3408	74	10	defines	define	VERB
ejpam-3408	74	11	a	a	DET
ejpam-3408	74	12	congruence	congruence	NOUN
ejpam-3408	74	13	relation	relation	NOUN
ejpam-3408	74	14	on	on	ADP
ejpam-3408	74	15	left	left	ADJ
ejpam-3408	74	16	almost	almost	ADV
ejpam-3408	74	17	rings	ring	NOUN
ejpam-3408	74	18	.	.	PUNCT
ejpam-3408	75	1	for	for	ADP
ejpam-3408	75	2	some	some	DET
ejpam-3408	75	3	more	more	ADJ
ejpam-3408	75	4	study	study	NOUN
ejpam-3408	75	5	of	of	ADP
ejpam-3408	75	6	la	la	NOUN
ejpam-3408	75	7	-	-	PUNCT
ejpam-3408	75	8	rings	ring	NOUN
ejpam-3408	75	9	,	,	PUNCT
ejpam-3408	75	10	we	we	PRON
ejpam-3408	75	11	refer	refer	VERB
ejpam-3408	75	12	the	the	DET
ejpam-3408	75	13	readers	reader	NOUN
ejpam-3408	75	14	to	to	PART
ejpam-3408	75	15	see	see	VERB
ejpam-3408	75	16	[	[	X
ejpam-3408	75	17	202	202	NUM
ejpam-3408	75	18	,	,	PUNCT
ejpam-3408	75	19	213	213	NUM
ejpam-3408	75	20	,	,	PUNCT
ejpam-3408	75	21	217	217	NUM
ejpam-3408	75	22	,	,	PUNCT
ejpam-3408	75	23	246	246	NUM
ejpam-3408	75	24	]	]	PUNCT
ejpam-3408	75	25	.	.	PUNCT
ejpam-3408	76	1	2	2	X
ejpam-3408	76	2	.	.	X
ejpam-3408	76	3	historical	historical	ADJ
ejpam-3408	76	4	perspective	perspective	NOUN
ejpam-3408	76	5	and	and	CCONJ
ejpam-3408	76	6	developments	development	NOUN
ejpam-3408	76	7	it	it	PRON
ejpam-3408	76	8	is	be	AUX
ejpam-3408	76	9	impossible	impossible	ADJ
ejpam-3408	76	10	in	in	ADP
ejpam-3408	76	11	a	a	DET
ejpam-3408	76	12	short	short	ADJ
ejpam-3408	76	13	space	space	NOUN
ejpam-3408	76	14	to	to	PART
ejpam-3408	76	15	convey	convey	VERB
ejpam-3408	76	16	the	the	DET
ejpam-3408	76	17	full	full	ADJ
ejpam-3408	76	18	compass	compass	NOUN
ejpam-3408	76	19	of	of	ADP
ejpam-3408	76	20	the	the	DET
ejpam-3408	76	21	subject	subject	NOUN
ejpam-3408	76	22	,	,	PUNCT
ejpam-3408	76	23	but	but	CCONJ
ejpam-3408	76	24	we	we	PRON
ejpam-3408	76	25	will	will	AUX
ejpam-3408	76	26	site	site	VERB
ejpam-3408	76	27	some	some	DET
ejpam-3408	76	28	literature	literature	NOUN
ejpam-3408	76	29	on	on	ADP
ejpam-3408	76	30	non	non	ADJ
ejpam-3408	76	31	-	-	ADJ
ejpam-3408	76	32	associative	associative	ADJ
ejpam-3408	76	33	rings	ring	NOUN
ejpam-3408	76	34	from	from	ADP
ejpam-3408	76	35	different	different	ADJ
ejpam-3408	76	36	decades	decade	NOUN
ejpam-3408	76	37	.	.	PUNCT
ejpam-3408	77	1	here	here	ADV
ejpam-3408	77	2	we	we	PRON
ejpam-3408	77	3	tried	try	VERB
ejpam-3408	77	4	to	to	PART
ejpam-3408	77	5	give	give	VERB
ejpam-3408	77	6	the	the	DET
ejpam-3408	77	7	literature	literature	NOUN
ejpam-3408	77	8	survey	survey	NOUN
ejpam-3408	77	9	of	of	ADP
ejpam-3408	77	10	all	all	DET
ejpam-3408	77	11	non	non	ADJ
ejpam-3408	77	12	-	-	ADJ
ejpam-3408	77	13	associative	associative	ADJ
ejpam-3408	77	14	rings	ring	NOUN
ejpam-3408	77	15	and	and	CCONJ
ejpam-3408	77	16	their	their	PRON
ejpam-3408	77	17	developments	development	NOUN
ejpam-3408	77	18	in	in	ADP
ejpam-3408	77	19	different	different	ADJ
ejpam-3408	77	20	time	time	NOUN
ejpam-3408	77	21	periods	period	NOUN
ejpam-3408	77	22	including	include	VERB
ejpam-3408	77	23	la	la	NOUN
ejpam-3408	77	24	-	-	PUNCT
ejpam-3408	77	25	rings	ring	NOUN
ejpam-3408	77	26	(	(	PUNCT
ejpam-3408	77	27	a	a	DET
ejpam-3408	77	28	class	class	NOUN
ejpam-3408	77	29	of	of	ADP
ejpam-3408	77	30	non	non	ADJ
ejpam-3408	77	31	-	-	ADJ
ejpam-3408	77	32	associative	associative	ADJ
ejpam-3408	77	33	rings	ring	NOUN
ejpam-3408	77	34	)	)	PUNCT
ejpam-3408	77	35	,	,	PUNCT
ejpam-3408	77	36	recently	recently	ADV
ejpam-3408	77	37	introduced	introduce	VERB
ejpam-3408	77	38	in	in	ADP
ejpam-3408	77	39	2006	2006	NUM
ejpam-3408	77	40	.	.	PUNCT
ejpam-3408	78	1	2.1	2.1	NUM
ejpam-3408	78	2	.	.	PUNCT
ejpam-3408	78	3	octonions	octonion	NOUN
ejpam-3408	78	4	in	in	ADP
ejpam-3408	78	5	order	order	NOUN
ejpam-3408	78	6	to	to	PART
ejpam-3408	78	7	solidify	solidify	VERB
ejpam-3408	78	8	the	the	DET
ejpam-3408	78	9	non	non	ADJ
ejpam-3408	78	10	-	-	ADJ
ejpam-3408	78	11	associative	associative	ADJ
ejpam-3408	78	12	ring	ring	NOUN
ejpam-3408	78	13	theory	theory	NOUN
ejpam-3408	78	14	,	,	PUNCT
ejpam-3408	78	15	the	the	DET
ejpam-3408	78	16	origin	origin	NOUN
ejpam-3408	78	17	of	of	ADP
ejpam-3408	78	18	the	the	DET
ejpam-3408	78	19	non	non	ADJ
ejpam-3408	78	20	-	-	ADJ
ejpam-3408	78	21	associative	associative	ADJ
ejpam-3408	78	22	ring	ring	NOUN
ejpam-3408	78	23	could	could	AUX
ejpam-3408	78	24	be	be	AUX
ejpam-3408	78	25	traced	trace	VERB
ejpam-3408	78	26	to	to	ADP
ejpam-3408	78	27	the	the	DET
ejpam-3408	78	28	work	work	NOUN
ejpam-3408	78	29	of	of	ADP
ejpam-3408	78	30	john	john	PROPN
ejpam-3408	78	31	t.	t.	PROPN
ejpam-3408	78	32	graves	grave	NOUN
ejpam-3408	78	33	who	who	PRON
ejpam-3408	78	34	discovered	discover	VERB
ejpam-3408	78	35	octonions	octonion	NOUN
ejpam-3408	78	36	in	in	ADP
ejpam-3408	78	37	1843	1843	NUM
ejpam-3408	78	38	,	,	PUNCT
ejpam-3408	78	39	which	which	PRON
ejpam-3408	78	40	is	be	AUX
ejpam-3408	78	41	a.	a.	NOUN
ejpam-3408	78	42	razzaque	razzaque	NOUN
ejpam-3408	78	43	et	et	PROPN
ejpam-3408	78	44	al	al	PROPN
ejpam-3408	78	45	.	.	PUNCT
ejpam-3408	78	46	/	/	SYM
ejpam-3408	78	47	eur	eur	PROPN
ejpam-3408	78	48	.	.	PUNCT
ejpam-3408	79	1	j.	j.	PROPN
ejpam-3408	79	2	pure	pure	PROPN
ejpam-3408	79	3	appl	appl	PROPN
ejpam-3408	79	4	.	.	PROPN
ejpam-3408	79	5	math	math	PROPN
ejpam-3408	79	6	,	,	PUNCT
ejpam-3408	79	7	12	12	NUM
ejpam-3408	79	8	(	(	PUNCT
ejpam-3408	79	9	2	2	NUM
ejpam-3408	79	10	)	)	PUNCT
ejpam-3408	79	11	(	(	PUNCT
ejpam-3408	79	12	2019	2019	NUM
ejpam-3408	79	13	)	)	PUNCT
ejpam-3408	79	14	,	,	PUNCT
ejpam-3408	79	15	370	370	NUM
ejpam-3408	79	16	-	-	SYM
ejpam-3408	79	17	408	408	NUM
ejpam-3408	79	18	373	373	NUM
ejpam-3408	79	19	considered	consider	VERB
ejpam-3408	79	20	to	to	PART
ejpam-3408	79	21	be	be	AUX
ejpam-3408	79	22	the	the	DET
ejpam-3408	79	23	first	first	ADJ
ejpam-3408	79	24	ever	ever	ADJ
ejpam-3408	79	25	example	example	NOUN
ejpam-3408	79	26	of	of	ADP
ejpam-3408	79	27	non	non	ADJ
ejpam-3408	79	28	-	-	ADJ
ejpam-3408	79	29	associative	associative	ADJ
ejpam-3408	79	30	ring	ring	NOUN
ejpam-3408	79	31	.	.	PUNCT
ejpam-3408	80	1	it	it	PRON
ejpam-3408	80	2	is	be	AUX
ejpam-3408	80	3	an	an	DET
ejpam-3408	80	4	8	8	NUM
ejpam-3408	80	5	-	-	PUNCT
ejpam-3408	80	6	dimensional	dimensional	ADJ
ejpam-3408	80	7	algebra	algebra	NOUN
ejpam-3408	80	8	over	over	ADP
ejpam-3408	80	9	r	r	NOUN
ejpam-3408	80	10	which	which	PRON
ejpam-3408	80	11	is	be	AUX
ejpam-3408	80	12	non	non	ADJ
ejpam-3408	80	13	-	-	ADJ
ejpam-3408	80	14	associative	associative	ADJ
ejpam-3408	80	15	as	as	ADV
ejpam-3408	80	16	well	well	ADV
ejpam-3408	80	17	as	as	ADP
ejpam-3408	80	18	being	be	AUX
ejpam-3408	80	19	non	non	ADJ
ejpam-3408	80	20	-	-	ADJ
ejpam-3408	80	21	commutative	commutative	ADJ
ejpam-3408	80	22	.	.	PUNCT
ejpam-3408	81	1	these	these	PRON
ejpam-3408	81	2	were	be	AUX
ejpam-3408	81	3	rediscovered	rediscover	VERB
ejpam-3408	81	4	by	by	ADP
ejpam-3408	81	5	cayley	cayley	NOUN
ejpam-3408	81	6	in	in	ADP
ejpam-3408	81	7	1845	1845	NUM
ejpam-3408	81	8	and	and	CCONJ
ejpam-3408	81	9	are	be	AUX
ejpam-3408	81	10	also	also	ADV
ejpam-3408	81	11	known	know	VERB
ejpam-3408	81	12	sometimes	sometimes	ADV
ejpam-3408	81	13	as	as	ADP
ejpam-3408	81	14	the	the	DET
ejpam-3408	81	15	cayley	cayley	ADJ
ejpam-3408	81	16	numbers	number	NOUN
ejpam-3408	81	17	.	.	PUNCT
ejpam-3408	82	1	each	each	DET
ejpam-3408	82	2	nonzero	nonzero	PROPN
ejpam-3408	82	3	element	element	NOUN
ejpam-3408	82	4	of	of	ADP
ejpam-3408	82	5	octonion	octonion	NOUN
ejpam-3408	82	6	still	still	ADV
ejpam-3408	82	7	has	have	VERB
ejpam-3408	82	8	an	an	DET
ejpam-3408	82	9	inverse	inverse	NOUN
ejpam-3408	82	10	so	so	SCONJ
ejpam-3408	82	11	that	that	SCONJ
ejpam-3408	82	12	it	it	PRON
ejpam-3408	82	13	is	be	AUX
ejpam-3408	82	14	a	a	DET
ejpam-3408	82	15	division	division	NOUN
ejpam-3408	82	16	ring	ring	NOUN
ejpam-3408	82	17	,	,	PUNCT
ejpam-3408	82	18	albeit	albeit	SCONJ
ejpam-3408	82	19	a	a	DET
ejpam-3408	82	20	non	non	ADJ
ejpam-3408	82	21	-	-	ADJ
ejpam-3408	82	22	associative	associative	ADJ
ejpam-3408	82	23	one	one	NUM
ejpam-3408	82	24	.	.	PUNCT
ejpam-3408	83	1	for	for	ADP
ejpam-3408	83	2	a	a	DET
ejpam-3408	83	3	most	most	ADV
ejpam-3408	83	4	comprehensive	comprehensive	ADJ
ejpam-3408	83	5	account	account	NOUN
ejpam-3408	83	6	of	of	ADP
ejpam-3408	83	7	the	the	DET
ejpam-3408	83	8	octonions	octonion	NOUN
ejpam-3408	83	9	see	see	VERB
ejpam-3408	84	1	[	[	X
ejpam-3408	84	2	9	9	NUM
ejpam-3408	84	3	]	]	PUNCT
ejpam-3408	84	4	.	.	PUNCT
ejpam-3408	85	1	the	the	DET
ejpam-3408	85	2	process	process	NOUN
ejpam-3408	85	3	of	of	ADP
ejpam-3408	85	4	going	go	VERB
ejpam-3408	85	5	from	from	ADP
ejpam-3408	85	6	r	r	NOUN
ejpam-3408	85	7	to	to	ADP
ejpam-3408	85	8	c	c	NOUN
ejpam-3408	85	9	,	,	PUNCT
ejpam-3408	85	10	from	from	ADP
ejpam-3408	85	11	c	c	PROPN
ejpam-3408	85	12	to	to	ADP
ejpam-3408	85	13	h	h	NOUN
ejpam-3408	85	14	,	,	PUNCT
ejpam-3408	85	15	and	and	CCONJ
ejpam-3408	85	16	from	from	ADP
ejpam-3408	85	17	h	h	PROPN
ejpam-3408	85	18	to	to	ADP
ejpam-3408	85	19	o	o	NOUN
ejpam-3408	85	20	,	,	PUNCT
ejpam-3408	85	21	is	be	AUX
ejpam-3408	85	22	in	in	ADP
ejpam-3408	85	23	each	each	DET
ejpam-3408	85	24	case	case	NOUN
ejpam-3408	85	25	a	a	DET
ejpam-3408	85	26	kind	kind	NOUN
ejpam-3408	85	27	of	of	ADP
ejpam-3408	85	28	doubling	double	VERB
ejpam-3408	85	29	process	process	NOUN
ejpam-3408	85	30	.	.	PUNCT
ejpam-3408	86	1	at	at	ADP
ejpam-3408	86	2	each	each	DET
ejpam-3408	86	3	stage	stage	NOUN
ejpam-3408	86	4	something	something	PRON
ejpam-3408	86	5	is	be	AUX
ejpam-3408	86	6	lost	lose	VERB
ejpam-3408	86	7	from	from	ADP
ejpam-3408	86	8	r	r	NOUN
ejpam-3408	86	9	to	to	ADP
ejpam-3408	86	10	c	c	NOUN
ejpam-3408	86	11	it	it	PRON
ejpam-3408	86	12	loosed	loose	VERB
ejpam-3408	86	13	the	the	DET
ejpam-3408	86	14	property	property	NOUN
ejpam-3408	86	15	that	that	PRON
ejpam-3408	86	16	r	r	NOUN
ejpam-3408	86	17	is	be	AUX
ejpam-3408	86	18	ordered	order	VERB
ejpam-3408	86	19	,	,	PUNCT
ejpam-3408	86	20	from	from	ADP
ejpam-3408	86	21	c	c	PROPN
ejpam-3408	86	22	to	to	ADP
ejpam-3408	86	23	h	h	NOUN
ejpam-3408	86	24	loosed	loose	VERB
ejpam-3408	86	25	commutativity	commutativity	NOUN
ejpam-3408	86	26	and	and	CCONJ
ejpam-3408	86	27	from	from	ADP
ejpam-3408	86	28	h	h	NOUN
ejpam-3408	86	29	to	to	ADP
ejpam-3408	86	30	o	o	NOUN
ejpam-3408	86	31	loosed	loosed	ADJ
ejpam-3408	86	32	associativity	associativity	NOUN
ejpam-3408	86	33	.	.	PUNCT
ejpam-3408	87	1	this	this	DET
ejpam-3408	87	2	process	process	NOUN
ejpam-3408	87	3	has	have	AUX
ejpam-3408	87	4	been	be	AUX
ejpam-3408	87	5	generalized	generalize	VERB
ejpam-3408	87	6	to	to	ADP
ejpam-3408	87	7	algebras	algebras	PROPN
ejpam-3408	87	8	over	over	ADP
ejpam-3408	87	9	fields	field	NOUN
ejpam-3408	87	10	and	and	CCONJ
ejpam-3408	87	11	indeed	indeed	ADV
ejpam-3408	87	12	over	over	ADP
ejpam-3408	87	13	rings	ring	NOUN
ejpam-3408	87	14	.	.	PUNCT
ejpam-3408	88	1	it	it	PRON
ejpam-3408	88	2	is	be	AUX
ejpam-3408	88	3	called	call	VERB
ejpam-3408	88	4	dickson	dickson	PROPN
ejpam-3408	88	5	doubling	double	VERB
ejpam-3408	88	6	or	or	CCONJ
ejpam-3408	88	7	cayley	cayley	ADJ
ejpam-3408	88	8	-	-	PUNCT
ejpam-3408	88	9	dickson	dickson	NOUN
ejpam-3408	88	10	doubling	double	VERB
ejpam-3408	88	11	see	see	VERB
ejpam-3408	89	1	[	[	X
ejpam-3408	89	2	33	33	NUM
ejpam-3408	89	3	,	,	PUNCT
ejpam-3408	89	4	198	198	NUM
ejpam-3408	89	5	]	]	PUNCT
ejpam-3408	89	6	.	.	PUNCT
ejpam-3408	90	1	if	if	SCONJ
ejpam-3408	90	2	we	we	PRON
ejpam-3408	90	3	apply	apply	VERB
ejpam-3408	90	4	the	the	DET
ejpam-3408	90	5	cayley	cayley	ADJ
ejpam-3408	90	6	-	-	PUNCT
ejpam-3408	90	7	dickson	dickson	NOUN
ejpam-3408	90	8	doubling	doubling	NOUN
ejpam-3408	90	9	process	process	NOUN
ejpam-3408	90	10	to	to	ADP
ejpam-3408	90	11	the	the	DET
ejpam-3408	90	12	octonions	octonion	NOUN
ejpam-3408	90	13	we	we	PRON
ejpam-3408	90	14	obtain	obtain	VERB
ejpam-3408	90	15	a	a	DET
ejpam-3408	90	16	structure	structure	NOUN
ejpam-3408	90	17	called	call	VERB
ejpam-3408	90	18	the	the	DET
ejpam-3408	90	19	sedenions	sedenion	NOUN
ejpam-3408	90	20	,	,	PUNCT
ejpam-3408	90	21	which	which	PRON
ejpam-3408	90	22	is	be	AUX
ejpam-3408	90	23	a	a	DET
ejpam-3408	90	24	16	16	NUM
ejpam-3408	90	25	-	-	PUNCT
ejpam-3408	90	26	dimensional	dimensional	ADJ
ejpam-3408	90	27	non	non	ADJ
ejpam-3408	90	28	-	-	ADJ
ejpam-3408	90	29	associative	associative	ADJ
ejpam-3408	90	30	algebra	algebra	NOUN
ejpam-3408	90	31	.	.	PUNCT
ejpam-3408	91	1	in	in	ADP
ejpam-3408	91	2	physics	physics	NOUN
ejpam-3408	91	3	community	community	NOUN
ejpam-3408	91	4	much	much	ADJ
ejpam-3408	91	5	work	work	NOUN
ejpam-3408	91	6	is	be	AUX
ejpam-3408	91	7	currently	currently	ADV
ejpam-3408	91	8	focused	focus	VERB
ejpam-3408	91	9	on	on	ADP
ejpam-3408	91	10	octonion	octonion	NOUN
ejpam-3408	91	11	models	model	NOUN
ejpam-3408	91	12	see	see	VERB
ejpam-3408	91	13	[	[	X
ejpam-3408	91	14	39	39	NUM
ejpam-3408	91	15	,	,	PUNCT
ejpam-3408	91	16	74	74	NUM
ejpam-3408	91	17	,	,	PUNCT
ejpam-3408	91	18	190	190	NUM
ejpam-3408	91	19	,	,	PUNCT
ejpam-3408	91	20	255	255	NUM
ejpam-3408	91	21	]	]	PUNCT
ejpam-3408	91	22	.	.	PUNCT
ejpam-3408	92	1	historically	historically	ADV
ejpam-3408	92	2	speaking	speak	VERB
ejpam-3408	92	3	,	,	PUNCT
ejpam-3408	92	4	the	the	DET
ejpam-3408	92	5	inventors	inventor	NOUN
ejpam-3408	92	6	or	or	CCONJ
ejpam-3408	92	7	discoverers	discoverer	NOUN
ejpam-3408	92	8	of	of	ADP
ejpam-3408	92	9	the	the	DET
ejpam-3408	92	10	quaternions	quaternion	NOUN
ejpam-3408	92	11	,	,	PUNCT
ejpam-3408	92	12	octonions	octonion	NOUN
ejpam-3408	92	13	and	and	CCONJ
ejpam-3408	92	14	related	related	ADJ
ejpam-3408	92	15	algebras	algebra	NOUN
ejpam-3408	92	16	(	(	PUNCT
ejpam-3408	92	17	hamilton	hamilton	PROPN
ejpam-3408	92	18	,	,	PUNCT
ejpam-3408	92	19	cayley	cayley	PROPN
ejpam-3408	92	20	,	,	PUNCT
ejpam-3408	92	21	graves	grave	NOUN
ejpam-3408	92	22	,	,	PUNCT
ejpam-3408	92	23	grassmann	grassmann	PROPN
ejpam-3408	92	24	,	,	PUNCT
ejpam-3408	92	25	jordan	jordan	PROPN
ejpam-3408	92	26	,	,	PUNCT
ejpam-3408	92	27	clifford	clifford	PROPN
ejpam-3408	92	28	and	and	CCONJ
ejpam-3408	92	29	others	other	NOUN
ejpam-3408	92	30	)	)	PUNCT
ejpam-3408	92	31	were	be	AUX
ejpam-3408	92	32	working	work	VERB
ejpam-3408	92	33	from	from	ADP
ejpam-3408	92	34	a	a	DET
ejpam-3408	92	35	physical	physical	ADJ
ejpam-3408	92	36	point	point	NOUN
ejpam-3408	92	37	-	-	PUNCT
ejpam-3408	92	38	of	of	ADP
ejpam-3408	92	39	-	-	PUNCT
ejpam-3408	92	40	view	view	NOUN
ejpam-3408	92	41	and	and	CCONJ
ejpam-3408	92	42	wanted	want	VERB
ejpam-3408	92	43	their	their	PRON
ejpam-3408	92	44	abstractions	abstraction	NOUN
ejpam-3408	92	45	to	to	PART
ejpam-3408	92	46	be	be	AUX
ejpam-3408	92	47	helpful	helpful	ADJ
ejpam-3408	92	48	in	in	ADP
ejpam-3408	92	49	solving	solve	VERB
ejpam-3408	92	50	natural	natural	ADJ
ejpam-3408	92	51	problems	problem	NOUN
ejpam-3408	92	52	[	[	X
ejpam-3408	92	53	105	105	NUM
ejpam-3408	92	54	]	]	PUNCT
ejpam-3408	92	55	.	.	PUNCT
ejpam-3408	93	1	2.2	2.2	NUM
ejpam-3408	93	2	.	.	PUNCT
ejpam-3408	93	3	lie	lie	NOUN
ejpam-3408	93	4	rings	ring	NOUN
ejpam-3408	93	5	(	(	PUNCT
ejpam-3408	93	6	1870	1870	NUM
ejpam-3408	93	7	-	-	SYM
ejpam-3408	93	8	2015	2015	NUM
ejpam-3408	93	9	)	)	PUNCT
ejpam-3408	93	10	in	in	ADP
ejpam-3408	93	11	1870	1870	NUM
ejpam-3408	93	12	a	a	DET
ejpam-3408	93	13	very	very	ADV
ejpam-3408	93	14	important	important	ADJ
ejpam-3408	93	15	non	non	ADJ
ejpam-3408	93	16	-	-	ADJ
ejpam-3408	93	17	associative	associative	ADJ
ejpam-3408	93	18	class	class	NOUN
ejpam-3408	93	19	known	know	VERB
ejpam-3408	93	20	as	as	ADP
ejpam-3408	93	21	lie	lie	NOUN
ejpam-3408	93	22	theory	theory	NOUN
ejpam-3408	93	23	was	be	AUX
ejpam-3408	93	24	introduced	introduce	VERB
ejpam-3408	93	25	by	by	ADP
ejpam-3408	93	26	the	the	DET
ejpam-3408	93	27	norwegian	norwegian	ADJ
ejpam-3408	93	28	mathematician	mathematician	NOUN
ejpam-3408	93	29	sophus	sophus	PROPN
ejpam-3408	93	30	lie	lie	VERB
ejpam-3408	93	31	.	.	PUNCT
ejpam-3408	94	1	the	the	DET
ejpam-3408	94	2	theory	theory	NOUN
ejpam-3408	94	3	of	of	ADP
ejpam-3408	94	4	lie	lie	NOUN
ejpam-3408	94	5	algebras	algebra	NOUN
ejpam-3408	94	6	is	be	AUX
ejpam-3408	94	7	an	an	DET
ejpam-3408	94	8	area	area	NOUN
ejpam-3408	94	9	of	of	ADP
ejpam-3408	94	10	mathematics	mathematic	NOUN
ejpam-3408	94	11	in	in	ADP
ejpam-3408	94	12	which	which	PRON
ejpam-3408	94	13	we	we	PRON
ejpam-3408	94	14	can	can	AUX
ejpam-3408	94	15	see	see	VERB
ejpam-3408	94	16	a	a	DET
ejpam-3408	94	17	harmonious	harmonious	ADJ
ejpam-3408	94	18	between	between	ADP
ejpam-3408	94	19	the	the	DET
ejpam-3408	94	20	methods	method	NOUN
ejpam-3408	94	21	of	of	ADP
ejpam-3408	94	22	classical	classical	ADJ
ejpam-3408	94	23	analysis	analysis	NOUN
ejpam-3408	94	24	and	and	CCONJ
ejpam-3408	94	25	modern	modern	ADJ
ejpam-3408	94	26	algebra	algebra	NOUN
ejpam-3408	94	27	.	.	PUNCT
ejpam-3408	95	1	this	this	DET
ejpam-3408	95	2	theory	theory	NOUN
ejpam-3408	95	3	,	,	PUNCT
ejpam-3408	95	4	a	a	DET
ejpam-3408	95	5	direct	direct	ADJ
ejpam-3408	95	6	outgrowth	outgrowth	NOUN
ejpam-3408	95	7	of	of	ADP
ejpam-3408	95	8	a	a	DET
ejpam-3408	95	9	central	central	ADJ
ejpam-3408	95	10	problem	problem	NOUN
ejpam-3408	95	11	in	in	ADP
ejpam-3408	95	12	the	the	DET
ejpam-3408	95	13	calculus	calculus	NOUN
ejpam-3408	95	14	,	,	PUNCT
ejpam-3408	95	15	has	have	AUX
ejpam-3408	95	16	today	today	NOUN
ejpam-3408	95	17	become	become	VERB
ejpam-3408	95	18	a	a	DET
ejpam-3408	95	19	synthesis	synthesis	NOUN
ejpam-3408	95	20	of	of	ADP
ejpam-3408	95	21	many	many	ADJ
ejpam-3408	95	22	separate	separate	ADJ
ejpam-3408	95	23	disciplines	discipline	NOUN
ejpam-3408	95	24	,	,	PUNCT
ejpam-3408	95	25	each	each	PRON
ejpam-3408	95	26	of	of	ADP
ejpam-3408	95	27	which	which	PRON
ejpam-3408	95	28	has	have	AUX
ejpam-3408	95	29	left	leave	VERB
ejpam-3408	95	30	its	its	PRON
ejpam-3408	95	31	own	own	ADJ
ejpam-3408	95	32	mark	mark	NOUN
ejpam-3408	95	33	.	.	PUNCT
ejpam-3408	96	1	the	the	DET
ejpam-3408	96	2	importance	importance	NOUN
ejpam-3408	96	3	of	of	ADP
ejpam-3408	96	4	lie	lie	NOUN
ejpam-3408	96	5	algebras	algebra	NOUN
ejpam-3408	96	6	for	for	ADP
ejpam-3408	96	7	applied	applied	ADJ
ejpam-3408	96	8	mathematics	mathematic	NOUN
ejpam-3408	96	9	and	and	CCONJ
ejpam-3408	96	10	for	for	ADP
ejpam-3408	96	11	applied	applied	ADJ
ejpam-3408	96	12	physics	physics	NOUN
ejpam-3408	96	13	has	have	AUX
ejpam-3408	96	14	also	also	ADV
ejpam-3408	96	15	become	become	VERB
ejpam-3408	96	16	increasingly	increasingly	ADV
ejpam-3408	96	17	evident	evident	ADJ
ejpam-3408	96	18	in	in	ADP
ejpam-3408	96	19	recent	recent	ADJ
ejpam-3408	96	20	years	year	NOUN
ejpam-3408	96	21	.	.	PUNCT
ejpam-3408	97	1	in	in	ADP
ejpam-3408	97	2	applied	applied	ADJ
ejpam-3408	97	3	mathematics	mathematic	NOUN
ejpam-3408	97	4	,	,	PUNCT
ejpam-3408	97	5	lie	lie	NOUN
ejpam-3408	97	6	theory	theory	NOUN
ejpam-3408	97	7	remains	remain	VERB
ejpam-3408	97	8	a	a	DET
ejpam-3408	97	9	powerful	powerful	ADJ
ejpam-3408	97	10	tool	tool	NOUN
ejpam-3408	97	11	for	for	ADP
ejpam-3408	97	12	studying	study	VERB
ejpam-3408	97	13	differential	differential	ADJ
ejpam-3408	97	14	equations	equation	NOUN
ejpam-3408	97	15	,	,	PUNCT
ejpam-3408	97	16	special	special	ADJ
ejpam-3408	97	17	functions	function	NOUN
ejpam-3408	97	18	and	and	CCONJ
ejpam-3408	97	19	perturbation	perturbation	NOUN
ejpam-3408	97	20	theory	theory	NOUN
ejpam-3408	97	21	.	.	PUNCT
ejpam-3408	98	1	lie	lie	NOUN
ejpam-3408	98	2	theory	theory	NOUN
ejpam-3408	98	3	finds	find	VERB
ejpam-3408	98	4	applications	application	NOUN
ejpam-3408	98	5	not	not	PART
ejpam-3408	98	6	only	only	ADV
ejpam-3408	98	7	in	in	ADP
ejpam-3408	98	8	elementary	elementary	ADJ
ejpam-3408	98	9	particle	particle	NOUN
ejpam-3408	98	10	physics	physics	PROPN
ejpam-3408	98	11	and	and	CCONJ
ejpam-3408	98	12	nuclear	nuclear	ADJ
ejpam-3408	98	13	physics	physic	NOUN
ejpam-3408	98	14	,	,	PUNCT
ejpam-3408	98	15	but	but	CCONJ
ejpam-3408	98	16	also	also	ADV
ejpam-3408	98	17	in	in	ADP
ejpam-3408	98	18	such	such	ADJ
ejpam-3408	98	19	diverse	diverse	ADJ
ejpam-3408	98	20	fields	field	NOUN
ejpam-3408	98	21	as	as	ADP
ejpam-3408	98	22	continuum	continuum	ADJ
ejpam-3408	98	23	mechanics	mechanic	NOUN
ejpam-3408	98	24	,	,	PUNCT
ejpam-3408	98	25	solid	solid	ADJ
ejpam-3408	98	26	-	-	PUNCT
ejpam-3408	98	27	state	state	NOUN
ejpam-3408	98	28	physics	physics	NOUN
ejpam-3408	98	29	,	,	PUNCT
ejpam-3408	98	30	cosmology	cosmology	NOUN
ejpam-3408	98	31	and	and	CCONJ
ejpam-3408	98	32	control	control	PROPN
ejpam-3408	98	33	theory	theory	NOUN
ejpam-3408	98	34	.	.	PUNCT
ejpam-3408	99	1	lie	lie	PROPN
ejpam-3408	99	2	algebra	algebra	NOUN
ejpam-3408	99	3	is	be	AUX
ejpam-3408	99	4	also	also	ADV
ejpam-3408	99	5	used	use	VERB
ejpam-3408	99	6	by	by	ADP
ejpam-3408	99	7	electrical	electrical	ADJ
ejpam-3408	99	8	engineers	engineer	NOUN
ejpam-3408	99	9	,	,	PUNCT
ejpam-3408	99	10	mainly	mainly	ADV
ejpam-3408	99	11	in	in	ADP
ejpam-3408	99	12	the	the	DET
ejpam-3408	99	13	mobile	mobile	ADJ
ejpam-3408	99	14	robot	robot	NOUN
ejpam-3408	99	15	control	control	NOUN
ejpam-3408	99	16	.	.	PUNCT
ejpam-3408	100	1	for	for	ADP
ejpam-3408	100	2	the	the	DET
ejpam-3408	100	3	basic	basic	ADJ
ejpam-3408	100	4	information	information	NOUN
ejpam-3408	100	5	of	of	ADP
ejpam-3408	100	6	lie	lie	NOUN
ejpam-3408	100	7	algebras	algebra	NOUN
ejpam-3408	100	8	,	,	PUNCT
ejpam-3408	100	9	the	the	DET
ejpam-3408	100	10	readers	reader	NOUN
ejpam-3408	100	11	are	be	AUX
ejpam-3408	100	12	referred	refer	VERB
ejpam-3408	100	13	to	to	ADP
ejpam-3408	100	14	[	[	X
ejpam-3408	100	15	10	10	NUM
ejpam-3408	100	16	,	,	PUNCT
ejpam-3408	100	17	31	31	NUM
ejpam-3408	100	18	,	,	PUNCT
ejpam-3408	100	19	102	102	NUM
ejpam-3408	100	20	]	]	PUNCT
ejpam-3408	100	21	.	.	PUNCT
ejpam-3408	101	1	it	it	PRON
ejpam-3408	101	2	is	be	AUX
ejpam-3408	101	3	well	well	ADV
ejpam-3408	101	4	known	know	VERB
ejpam-3408	101	5	that	that	PRON
ejpam-3408	101	6	lie	lie	NOUN
ejpam-3408	101	7	algebra	algebra	NOUN
ejpam-3408	101	8	can	can	AUX
ejpam-3408	101	9	be	be	AUX
ejpam-3408	101	10	viewed	view	VERB
ejpam-3408	101	11	as	as	ADP
ejpam-3408	101	12	a	a	DET
ejpam-3408	101	13	lie	lie	NOUN
ejpam-3408	101	14	ring	ring	NOUN
ejpam-3408	101	15	.	.	PUNCT
ejpam-3408	102	1	so	so	ADV
ejpam-3408	102	2	,	,	PUNCT
ejpam-3408	102	3	the	the	DET
ejpam-3408	102	4	theory	theory	NOUN
ejpam-3408	102	5	of	of	ADP
ejpam-3408	102	6	lie	lie	NOUN
ejpam-3408	102	7	ring	ring	NOUN
ejpam-3408	102	8	can	can	AUX
ejpam-3408	102	9	be	be	AUX
ejpam-3408	102	10	used	use	VERB
ejpam-3408	102	11	in	in	ADP
ejpam-3408	102	12	the	the	DET
ejpam-3408	102	13	theory	theory	NOUN
ejpam-3408	102	14	of	of	ADP
ejpam-3408	102	15	lie	lie	NOUN
ejpam-3408	102	16	algebra	algebra	NOUN
ejpam-3408	102	17	.	.	PUNCT
ejpam-3408	103	1	a	a	DET
ejpam-3408	103	2	lie	lie	NOUN
ejpam-3408	103	3	ring	ring	NOUN
ejpam-3408	103	4	is	be	AUX
ejpam-3408	103	5	defined	define	VERB
ejpam-3408	103	6	as	as	ADP
ejpam-3408	103	7	a	a	DET
ejpam-3408	103	8	non	non	ADJ
ejpam-3408	103	9	-	-	ADJ
ejpam-3408	103	10	associative	associative	ADJ
ejpam-3408	103	11	ring	ring	NOUN
ejpam-3408	103	12	with	with	ADP
ejpam-3408	103	13	multiplication	multiplication	NOUN
ejpam-3408	103	14	that	that	PRON
ejpam-3408	103	15	is	be	AUX
ejpam-3408	103	16	anti	anti	ADJ
ejpam-3408	103	17	-	-	ADJ
ejpam-3408	103	18	commutative	commutative	ADJ
ejpam-3408	103	19	and	and	CCONJ
ejpam-3408	103	20	satisfies	satisfy	VERB
ejpam-3408	103	21	the	the	DET
ejpam-3408	103	22	jacobi	jacobi	PROPN
ejpam-3408	103	23	identity	identity	PROPN
ejpam-3408	103	24	i.e.[a	i.e.[a	PROPN
ejpam-3408	103	25	,	,	PUNCT
ejpam-3408	103	26	[	[	X
ejpam-3408	103	27	b	b	X
ejpam-3408	103	28	,	,	PUNCT
ejpam-3408	103	29	c	c	NOUN
ejpam-3408	103	30	]	]	X
ejpam-3408	103	31	]	]	PUNCT
ejpam-3408	104	1	+	+	CCONJ
ejpam-3408	104	2	[	[	X
ejpam-3408	104	3	b	b	X
ejpam-3408	104	4	,	,	PUNCT
ejpam-3408	104	5	[	[	X
ejpam-3408	104	6	c	c	X
ejpam-3408	104	7	,	,	PUNCT
ejpam-3408	104	8	a	a	X
ejpam-3408	104	9	]	]	X
ejpam-3408	104	10	]	]	PUNCT
ejpam-3408	105	1	+	+	CCONJ
ejpam-3408	106	1	[	[	X
ejpam-3408	106	2	c	c	X
ejpam-3408	106	3	,	,	PUNCT
ejpam-3408	106	4	[	[	X
ejpam-3408	106	5	a	a	X
ejpam-3408	106	6	,	,	PUNCT
ejpam-3408	106	7	b	b	NOUN
ejpam-3408	106	8	]	]	X
ejpam-3408	106	9	]	]	X
ejpam-3408	106	10	=	=	PUNCT
ejpam-3408	106	11	0	0	PUNCT
ejpam-3408	106	12	although	although	SCONJ
ejpam-3408	106	13	the	the	DET
ejpam-3408	106	14	lie	lie	NOUN
ejpam-3408	106	15	theory	theory	NOUN
ejpam-3408	106	16	was	be	AUX
ejpam-3408	106	17	introduced	introduce	VERB
ejpam-3408	106	18	in	in	ADP
ejpam-3408	106	19	1870	1870	NUM
ejpam-3408	106	20	but	but	CCONJ
ejpam-3408	106	21	the	the	DET
ejpam-3408	106	22	major	major	ADJ
ejpam-3408	106	23	developments	development	NOUN
ejpam-3408	106	24	were	be	AUX
ejpam-3408	106	25	made	make	VERB
ejpam-3408	106	26	in	in	ADP
ejpam-3408	106	27	the	the	DET
ejpam-3408	106	28	20th	20th	ADJ
ejpam-3408	106	29	century	century	NOUN
ejpam-3408	106	30	with	with	ADP
ejpam-3408	106	31	the	the	DET
ejpam-3408	106	32	paper	paper	NOUN
ejpam-3408	106	33	of	of	ADP
ejpam-3408	106	34	hausdorff	hausdorff	NOUN
ejpam-3408	106	35	[	[	X
ejpam-3408	106	36	81	81	NUM
ejpam-3408	106	37	]	]	PUNCT
ejpam-3408	106	38	in	in	ADP
ejpam-3408	106	39	1906	1906	NUM
ejpam-3408	106	40	.	.	PUNCT
ejpam-3408	107	1	in	in	ADP
ejpam-3408	107	2	(	(	PUNCT
ejpam-3408	107	3	1934	1934	NUM
ejpam-3408	107	4	-	-	SYM
ejpam-3408	107	5	35	35	NUM
ejpam-3408	107	6	)	)	PUNCT
ejpam-3408	107	7	,	,	PUNCT
ejpam-3408	107	8	ado	ado	X
ejpam-3408	108	1	[	[	X
ejpam-3408	108	2	1	1	NUM
ejpam-3408	108	3	]	]	PUNCT
ejpam-3408	108	4	proved	prove	VERB
ejpam-3408	108	5	that	that	SCONJ
ejpam-3408	108	6	any	any	DET
ejpam-3408	108	7	finite	finite	ADJ
ejpam-3408	108	8	dimensional	dimensional	ADJ
ejpam-3408	108	9	lie	lie	NOUN
ejpam-3408	108	10	algebra	algebra	NOUN
ejpam-3408	108	11	over	over	ADP
ejpam-3408	108	12	the	the	DET
ejpam-3408	108	13	field	field	NOUN
ejpam-3408	108	14	of	of	ADP
ejpam-3408	108	15	complex	complex	ADJ
ejpam-3408	108	16	numbers	number	NOUN
ejpam-3408	108	17	can	can	AUX
ejpam-3408	108	18	be	be	AUX
ejpam-3408	108	19	represented	represent	VERB
ejpam-3408	108	20	in	in	ADP
ejpam-3408	108	21	a	a	DET
ejpam-3408	108	22	finite	finite	ADJ
ejpam-3408	108	23	dimensional	dimensional	ADJ
ejpam-3408	108	24	associative	associative	ADJ
ejpam-3408	108	25	algebra	algebra	NOUN
ejpam-3408	108	26	.	.	PUNCT
ejpam-3408	109	1	moreover	moreover	ADV
ejpam-3408	109	2	,	,	PUNCT
ejpam-3408	109	3	in	in	ADP
ejpam-3408	109	4	1937	1937	NUM
ejpam-3408	109	5	,	,	PUNCT
ejpam-3408	109	6	birkhoff	birkhoff	NOUN
ejpam-3408	109	7	[	[	X
ejpam-3408	109	8	12	12	NUM
ejpam-3408	109	9	]	]	PUNCT
ejpam-3408	109	10	and	and	CCONJ
ejpam-3408	109	11	witt	witt	NOUN
ejpam-3408	110	1	[	[	X
ejpam-3408	110	2	260	260	NUM
ejpam-3408	110	3	]	]	PUNCT
ejpam-3408	110	4	independently	independently	ADV
ejpam-3408	110	5	examined	examine	VERB
ejpam-3408	110	6	that	that	SCONJ
ejpam-3408	110	7	every	every	DET
ejpam-3408	110	8	lie	lie	NOUN
ejpam-3408	110	9	algebra	algebra	NOUN
ejpam-3408	110	10	is	be	AUX
ejpam-3408	110	11	isomorphic	isomorphic	ADJ
ejpam-3408	110	12	to	to	ADP
ejpam-3408	110	13	sub	sub	NOUN
ejpam-3408	110	14	-	-	NOUN
ejpam-3408	110	15	algebra	algebra	NOUN
ejpam-3408	110	16	of	of	ADP
ejpam-3408	110	17	some	some	DET
ejpam-3408	110	18	algebra	algebra	NOUN
ejpam-3408	110	19	of	of	ADP
ejpam-3408	110	20	the	the	DET
ejpam-3408	110	21	form	form	NOUN
ejpam-3408	110	22	a(−	a(−	NUM
ejpam-3408	110	23	)	)	PUNCT
ejpam-3408	110	24	,	,	PUNCT
ejpam-3408	110	25	where	where	SCONJ
ejpam-3408	110	26	a(−	a(−	VERB
ejpam-3408	110	27	)	)	PUNCT
ejpam-3408	110	28	is	be	AUX
ejpam-3408	110	29	a	a	DET
ejpam-3408	110	30	lie	lie	NOUN
ejpam-3408	110	31	ring	ring	NOUN
ejpam-3408	110	32	defined	define	VERB
ejpam-3408	110	33	by	by	ADP
ejpam-3408	110	34	x.y	x.y	PROPN
ejpam-3408	110	35	=	=	PROPN
ejpam-3408	110	36	xy−	xy−	PROPN
ejpam-3408	110	37	yx	yx	PROPN
ejpam-3408	110	38	.	.	PUNCT
ejpam-3408	111	1	they	they	PRON
ejpam-3408	111	2	also	also	ADV
ejpam-3408	111	3	found	find	VERB
ejpam-3408	111	4	a	a	DET
ejpam-3408	111	5	formula	formula	NOUN
ejpam-3408	111	6	for	for	ADP
ejpam-3408	111	7	computing	compute	VERB
ejpam-3408	111	8	the	the	DET
ejpam-3408	111	9	rank	rank	NOUN
ejpam-3408	111	10	of	of	ADP
ejpam-3408	111	11	the	the	DET
ejpam-3408	111	12	homogeneous	homogeneous	ADJ
ejpam-3408	111	13	modules	module	NOUN
ejpam-3408	111	14	in	in	ADP
ejpam-3408	111	15	a	a	DET
ejpam-3408	111	16	free	free	ADJ
ejpam-3408	111	17	lie	lie	NOUN
ejpam-3408	111	18	algebra	algebra	NOUN
ejpam-3408	111	19	on	on	ADP
ejpam-3408	111	20	a	a	DET
ejpam-3408	111	21	finite	finite	ADJ
ejpam-3408	111	22	number	number	NOUN
ejpam-3408	111	23	of	of	ADP
ejpam-3408	111	24	generators	generator	NOUN
ejpam-3408	111	25	.	.	PUNCT
ejpam-3408	112	1	also	also	ADV
ejpam-3408	112	2	in	in	ADP
ejpam-3408	112	3	1937	1937	NUM
ejpam-3408	112	4	,	,	PUNCT
ejpam-3408	112	5	magnus	magnus	PROPN
ejpam-3408	113	1	[	[	X
ejpam-3408	113	2	166	166	NUM
ejpam-3408	113	3	]	]	PUNCT
ejpam-3408	113	4	proved	prove	VERB
ejpam-3408	113	5	that	that	SCONJ
ejpam-3408	113	6	the	the	DET
ejpam-3408	113	7	elements	element	NOUN
ejpam-3408	113	8	yi	yi	NOUN
ejpam-3408	113	9	=	=	PUNCT
ejpam-3408	114	1	1	1	NUM
ejpam-3408	114	2	+	+	CCONJ
ejpam-3408	114	3	xi	xi	NOUN
ejpam-3408	114	4	of	of	ADP
ejpam-3408	114	5	the	the	DET
ejpam-3408	114	6	ring	ring	NOUN
ejpam-3408	114	7	h	h	NOUN
ejpam-3408	114	8	generate	generate	VERB
ejpam-3408	114	9	a	a	DET
ejpam-3408	114	10	free	free	ADJ
ejpam-3408	114	11	subgroup	subgroup	NOUN
ejpam-3408	114	12	g	g	PROPN
ejpam-3408	114	13	of	of	ADP
ejpam-3408	114	14	the	the	DET
ejpam-3408	114	15	multiplicative	multiplicative	ADJ
ejpam-3408	114	16	group	group	NOUN
ejpam-3408	114	17	of	of	ADP
ejpam-3408	114	18	the	the	DET
ejpam-3408	114	19	ring	ring	NOUN
ejpam-3408	114	20	h	h	NOUN
ejpam-3408	114	21	,	,	PUNCT
ejpam-3408	114	22	and	and	CCONJ
ejpam-3408	114	23	every	every	DET
ejpam-3408	114	24	element	element	NOUN
ejpam-3408	114	25	of	of	ADP
ejpam-3408	114	26	a.	a.	NOUN
ejpam-3408	114	27	razzaque	razzaque	PROPN
ejpam-3408	114	28	et	et	PROPN
ejpam-3408	114	29	al	al	PROPN
ejpam-3408	114	30	.	.	PUNCT
ejpam-3408	114	31	/	/	SYM
ejpam-3408	114	32	eur	eur	PROPN
ejpam-3408	114	33	.	.	PUNCT
ejpam-3408	115	1	j.	j.	PROPN
ejpam-3408	115	2	pure	pure	PROPN
ejpam-3408	115	3	appl	appl	PROPN
ejpam-3408	115	4	.	.	PROPN
ejpam-3408	115	5	math	math	PROPN
ejpam-3408	115	6	,	,	PUNCT
ejpam-3408	115	7	12	12	NUM
ejpam-3408	115	8	(	(	PUNCT
ejpam-3408	115	9	2	2	NUM
ejpam-3408	115	10	)	)	PUNCT
ejpam-3408	115	11	(	(	PUNCT
ejpam-3408	115	12	2019	2019	NUM
ejpam-3408	115	13	)	)	PUNCT
ejpam-3408	115	14	,	,	PUNCT
ejpam-3408	115	15	370	370	NUM
ejpam-3408	115	16	-	-	SYM
ejpam-3408	115	17	408	408	NUM
ejpam-3408	115	18	374	374	NUM
ejpam-3408	115	19	the	the	DET
ejpam-3408	115	20	subgroup	subgroup	NOUN
ejpam-3408	115	21	gn	gn	PROPN
ejpam-3408	115	22	(	(	PUNCT
ejpam-3408	115	23	the	the	DET
ejpam-3408	115	24	n	n	CCONJ
ejpam-3408	115	25	-	-	PUNCT
ejpam-3408	115	26	th	th	VERB
ejpam-3408	115	27	commutator	commutator	NOUN
ejpam-3408	115	28	subgroup	subgroup	PROPN
ejpam-3408	115	29	)	)	PUNCT
ejpam-3408	115	30	has	have	VERB
ejpam-3408	115	31	the	the	DET
ejpam-3408	115	32	form	form	NOUN
ejpam-3408	115	33	1	1	NUM
ejpam-3408	115	34	+	+	PUNCT
ejpam-3408	115	35	ln+w	ln+w	PROPN
ejpam-3408	115	36	,	,	PUNCT
ejpam-3408	115	37	where	where	SCONJ
ejpam-3408	115	38	ln	ln	ADV
ejpam-3408	115	39	is	be	AUX
ejpam-3408	115	40	some	some	DET
ejpam-3408	115	41	homogeneous	homogeneous	ADJ
ejpam-3408	115	42	lie	lie	NOUN
ejpam-3408	115	43	polynomial	polynomial	NOUN
ejpam-3408	115	44	(	(	PUNCT
ejpam-3408	115	45	with	with	ADP
ejpam-3408	115	46	respect	respect	NOUN
ejpam-3408	115	47	to	to	ADP
ejpam-3408	115	48	the	the	DET
ejpam-3408	115	49	operations	operation	NOUN
ejpam-3408	115	50	x.y	x.y	PROPN
ejpam-3408	115	51	and	and	CCONJ
ejpam-3408	115	52	x+	x+	PROPN
ejpam-3408	115	53	y	y	PROPN
ejpam-3408	115	54	of	of	ADP
ejpam-3408	115	55	degree	degree	NOUN
ejpam-3408	115	56	n	n	CCONJ
ejpam-3408	115	57	in	in	ADP
ejpam-3408	115	58	the	the	DET
ejpam-3408	115	59	generators	generator	NOUN
ejpam-3408	115	60	ai	ai	VERB
ejpam-3408	115	61	,	,	PUNCT
ejpam-3408	115	62	and	and	CCONJ
ejpam-3408	115	63	w	w	NOUN
ejpam-3408	115	64	is	be	AUX
ejpam-3408	115	65	a	a	DET
ejpam-3408	115	66	formal	formal	ADJ
ejpam-3408	115	67	power	power	NOUN
ejpam-3408	115	68	series	series	NOUN
ejpam-3408	115	69	in	in	ADP
ejpam-3408	115	70	which	which	PRON
ejpam-3408	115	71	all	all	DET
ejpam-3408	115	72	the	the	DET
ejpam-3408	115	73	terms	term	NOUN
ejpam-3408	115	74	have	have	VERB
ejpam-3408	115	75	degree	degree	NOUN
ejpam-3408	115	76	greater	great	ADJ
ejpam-3408	115	77	than	than	ADP
ejpam-3408	115	78	n.	n.	NOUN
ejpam-3408	115	79	in	in	ADP
ejpam-3408	115	80	1947	1947	NUM
ejpam-3408	115	81	,	,	PUNCT
ejpam-3408	115	82	dynkin	dynkin	ADJ
ejpam-3408	115	83	[	[	PUNCT
ejpam-3408	115	84	43	43	NUM
ejpam-3408	115	85	]	]	PUNCT
ejpam-3408	115	86	gave	give	VERB
ejpam-3408	115	87	the	the	DET
ejpam-3408	115	88	criteria	criterion	NOUN
ejpam-3408	115	89	to	to	PART
ejpam-3408	115	90	determine	determine	VERB
ejpam-3408	115	91	whether	whether	SCONJ
ejpam-3408	115	92	the	the	DET
ejpam-3408	115	93	given	give	VERB
ejpam-3408	115	94	polynomial	polynomial	NOUN
ejpam-3408	115	95	is	be	AUX
ejpam-3408	115	96	a	a	DET
ejpam-3408	115	97	lie	lie	NOUN
ejpam-3408	115	98	polynomial	polynomial	ADJ
ejpam-3408	115	99	.	.	PUNCT
ejpam-3408	116	1	later	later	ADV
ejpam-3408	116	2	in	in	ADV
ejpam-3408	116	3	(	(	PUNCT
ejpam-3408	116	4	1948	1948	NUM
ejpam-3408	116	5	-	-	SYM
ejpam-3408	116	6	49	49	NUM
ejpam-3408	116	7	)	)	PUNCT
ejpam-3408	116	8	,	,	PUNCT
ejpam-3408	116	9	harish	harish	PROPN
ejpam-3408	116	10	chandra	chandra	PROPN
ejpam-3408	117	1	[	[	X
ejpam-3408	117	2	78	78	NUM
ejpam-3408	117	3	]	]	PUNCT
ejpam-3408	117	4	and	and	CCONJ
ejpam-3408	117	5	iwasawa	iwasawa	PROPN
ejpam-3408	118	1	[	[	X
ejpam-3408	118	2	108	108	NUM
ejpam-3408	118	3	]	]	PUNCT
ejpam-3408	118	4	proved	prove	VERB
ejpam-3408	118	5	that	that	SCONJ
ejpam-3408	118	6	ado	ado	NOUN
ejpam-3408	118	7	’s	’s	PART
ejpam-3408	118	8	theorem	theorem	NOUN
ejpam-3408	118	9	holds	hold	VERB
ejpam-3408	118	10	for	for	ADP
ejpam-3408	118	11	any	any	DET
ejpam-3408	118	12	finite	finite	ADJ
ejpam-3408	118	13	dimensional	dimensional	ADJ
ejpam-3408	118	14	lie	lie	NOUN
ejpam-3408	118	15	algebra	algebra	NOUN
ejpam-3408	118	16	.	.	PUNCT
ejpam-3408	119	1	moreover	moreover	ADV
ejpam-3408	119	2	,	,	PUNCT
ejpam-3408	119	3	an	an	DET
ejpam-3408	119	4	important	important	ADJ
ejpam-3408	119	5	role	role	NOUN
ejpam-3408	119	6	in	in	ADP
ejpam-3408	119	7	the	the	DET
ejpam-3408	119	8	theory	theory	NOUN
ejpam-3408	119	9	of	of	ADP
ejpam-3408	119	10	lie	lie	NOUN
ejpam-3408	119	11	rings	ring	NOUN
ejpam-3408	119	12	is	be	AUX
ejpam-3408	119	13	played	play	VERB
ejpam-3408	119	14	by	by	ADP
ejpam-3408	119	15	free	free	ADJ
ejpam-3408	119	16	lie	lie	NOUN
ejpam-3408	119	17	rings	ring	NOUN
ejpam-3408	119	18	.	.	PUNCT
ejpam-3408	120	1	in	in	ADP
ejpam-3408	120	2	contrast	contrast	NOUN
ejpam-3408	120	3	to	to	ADP
ejpam-3408	120	4	free	free	ADJ
ejpam-3408	120	5	alternative	alternative	ADJ
ejpam-3408	120	6	rings	ring	NOUN
ejpam-3408	120	7	and	and	CCONJ
ejpam-3408	120	8	free	free	PROPN
ejpam-3408	120	9	j	j	PROPN
ejpam-3408	120	10	-	-	PUNCT
ejpam-3408	120	11	rings	ring	NOUN
ejpam-3408	120	12	(	(	PUNCT
ejpam-3408	120	13	free	free	PROPN
ejpam-3408	120	14	jordan	jordan	PROPN
ejpam-3408	120	15	-	-	PUNCT
ejpam-3408	120	16	rings	ring	NOUN
ejpam-3408	120	17	)	)	PUNCT
ejpam-3408	120	18	,	,	PUNCT
ejpam-3408	120	19	free	free	ADJ
ejpam-3408	120	20	lie	lie	NOUN
ejpam-3408	120	21	rings	ring	NOUN
ejpam-3408	120	22	have	have	AUX
ejpam-3408	120	23	been	be	AUX
ejpam-3408	120	24	thoroughly	thoroughly	ADV
ejpam-3408	120	25	studied	study	VERB
ejpam-3408	120	26	.	.	PUNCT
ejpam-3408	121	1	in	in	ADP
ejpam-3408	121	2	that	that	DET
ejpam-3408	121	3	context	context	NOUN
ejpam-3408	121	4	,	,	PUNCT
ejpam-3408	121	5	in	in	ADP
ejpam-3408	121	6	1950	1950	NUM
ejpam-3408	121	7	,	,	PUNCT
ejpam-3408	121	8	hall	hall	NOUN
ejpam-3408	122	1	[	[	X
ejpam-3408	122	2	75	75	NUM
ejpam-3408	122	3	]	]	PUNCT
ejpam-3408	122	4	pointed	point	VERB
ejpam-3408	122	5	out	out	ADP
ejpam-3408	122	6	a	a	DET
ejpam-3408	122	7	method	method	NOUN
ejpam-3408	122	8	for	for	ADP
ejpam-3408	122	9	constructing	construct	VERB
ejpam-3408	122	10	a	a	DET
ejpam-3408	122	11	basis	basis	NOUN
ejpam-3408	122	12	of	of	ADP
ejpam-3408	122	13	a	a	DET
ejpam-3408	122	14	free	free	ADJ
ejpam-3408	122	15	lie	lie	NOUN
ejpam-3408	122	16	algebra	algebra	NOUN
ejpam-3408	122	17	.	.	PUNCT
ejpam-3408	123	1	in	in	ADP
ejpam-3408	123	2	addition	addition	NOUN
ejpam-3408	123	3	,	,	PUNCT
ejpam-3408	123	4	analogous	analogous	ADJ
ejpam-3408	123	5	theorems	theorem	NOUN
ejpam-3408	123	6	about	about	ADP
ejpam-3408	123	7	embedding	embed	VERB
ejpam-3408	123	8	of	of	ADP
ejpam-3408	123	9	arbitrary	arbitrary	ADJ
ejpam-3408	123	10	algebras	algebra	NOUN
ejpam-3408	123	11	and	and	CCONJ
ejpam-3408	123	12	of	of	ADP
ejpam-3408	123	13	associative	associative	ADJ
ejpam-3408	123	14	rings	ring	NOUN
ejpam-3408	123	15	were	be	AUX
ejpam-3408	123	16	proved	prove	VERB
ejpam-3408	123	17	respectively	respectively	ADV
ejpam-3408	123	18	by	by	ADP
ejpam-3408	123	19	zhukov	zhukov	PROPN
ejpam-3408	124	1	[	[	X
ejpam-3408	124	2	267	267	NUM
ejpam-3408	124	3	]	]	X
ejpam-3408	124	4	in	in	ADP
ejpam-3408	124	5	1950	1950	NUM
ejpam-3408	124	6	and	and	CCONJ
ejpam-3408	124	7	by	by	ADP
ejpam-3408	124	8	malcev	malcev	NOUN
ejpam-3408	124	9	[	[	X
ejpam-3408	124	10	174	174	NUM
ejpam-3408	124	11	]	]	PUNCT
ejpam-3408	124	12	in	in	ADP
ejpam-3408	124	13	1952	1952	NUM
ejpam-3408	124	14	.	.	PUNCT
ejpam-3408	125	1	in	in	ADP
ejpam-3408	125	2	(	(	PUNCT
ejpam-3408	125	3	1953	1953	NUM
ejpam-3408	125	4	-	-	SYM
ejpam-3408	125	5	54	54	NUM
ejpam-3408	125	6	)	)	PUNCT
ejpam-3408	125	7	,	,	PUNCT
ejpam-3408	125	8	lazard	lazard	PROPN
ejpam-3408	126	1	[	[	X
ejpam-3408	126	2	158	158	X
ejpam-3408	126	3	]	]	PUNCT
ejpam-3408	126	4	and	and	CCONJ
ejpam-3408	126	5	witt	witt	VERB
ejpam-3408	126	6	[	[	X
ejpam-3408	126	7	261	261	NUM
ejpam-3408	126	8	]	]	PUNCT
ejpam-3408	126	9	studied	study	VERB
ejpam-3408	126	10	representations	representation	NOUN
ejpam-3408	126	11	of	of	ADP
ejpam-3408	126	12	∑	∑	PUNCT
ejpam-3408	126	13	-operator	-operator	ADJ
ejpam-3408	126	14	lie	lie	NOUN
ejpam-3408	126	15	rings	ring	NOUN
ejpam-3408	126	16	in	in	ADP
ejpam-3408	126	17	∑	∑	PUNCT
ejpam-3408	126	18	-operator	-operator	ADJ
ejpam-3408	126	19	associative	associative	ADJ
ejpam-3408	126	20	rings	ring	NOUN
ejpam-3408	126	21	.	.	PUNCT
ejpam-3408	127	1	the	the	DET
ejpam-3408	127	2	existence	existence	NOUN
ejpam-3408	127	3	of	of	ADP
ejpam-3408	127	4	such	such	DET
ejpam-3408	127	5	a	a	DET
ejpam-3408	127	6	representation	representation	NOUN
ejpam-3408	127	7	was	be	AUX
ejpam-3408	127	8	proved	prove	VERB
ejpam-3408	127	9	by	by	ADP
ejpam-3408	127	10	them	they	PRON
ejpam-3408	127	11	in	in	ADP
ejpam-3408	127	12	the	the	DET
ejpam-3408	127	13	case	case	NOUN
ejpam-3408	127	14	of	of	ADP
ejpam-3408	127	15	∑	∑	PART
ejpam-3408	127	16	-principal	-principal	ADJ
ejpam-3408	127	17	ideal	ideal	ADJ
ejpam-3408	127	18	rings	ring	NOUN
ejpam-3408	127	19	and	and	CCONJ
ejpam-3408	127	20	in	in	ADP
ejpam-3408	127	21	particular	particular	ADJ
ejpam-3408	127	22	for	for	ADP
ejpam-3408	127	23	lie	lie	NOUN
ejpam-3408	127	24	rings	ring	NOUN
ejpam-3408	127	25	without	without	ADP
ejpam-3408	127	26	operators	operator	NOUN
ejpam-3408	127	27	.	.	PUNCT
ejpam-3408	128	1	the	the	DET
ejpam-3408	128	2	example	example	NOUN
ejpam-3408	128	3	constructed	construct	VERB
ejpam-3408	128	4	by	by	ADP
ejpam-3408	128	5	shirshov	shirshov	NOUN
ejpam-3408	128	6	in	in	ADP
ejpam-3408	128	7	[	[	X
ejpam-3408	128	8	219	219	NUM
ejpam-3408	128	9	]	]	PUNCT
ejpam-3408	128	10	shows	show	VERB
ejpam-3408	128	11	that	that	SCONJ
ejpam-3408	128	12	there	there	PRON
ejpam-3408	128	13	exist	exist	VERB
ejpam-3408	128	14	non	non	ADJ
ejpam-3408	128	15	-	-	ADJ
ejpam-3408	128	16	representable	representable	ADJ
ejpam-3408	128	17	∑	∑	ADJ
ejpam-3408	128	18	-operator	-operator	ADJ
ejpam-3408	128	19	lie	lie	NOUN
ejpam-3408	128	20	rings	ring	NOUN
ejpam-3408	128	21	which	which	PRON
ejpam-3408	128	22	do	do	AUX
ejpam-3408	128	23	not	not	PART
ejpam-3408	128	24	have	have	VERB
ejpam-3408	128	25	elements	element	NOUN
ejpam-3408	128	26	of	of	ADP
ejpam-3408	128	27	finite	finite	ADJ
ejpam-3408	128	28	order	order	NOUN
ejpam-3408	128	29	in	in	ADP
ejpam-3408	128	30	the	the	DET
ejpam-3408	128	31	additive	additive	ADJ
ejpam-3408	128	32	group	group	NOUN
ejpam-3408	128	33	.	.	PUNCT
ejpam-3408	129	1	also	also	ADV
ejpam-3408	129	2	in	in	ADP
ejpam-3408	129	3	1954	1954	NUM
ejpam-3408	129	4	,	,	PUNCT
ejpam-3408	129	5	higgins	higgin	VERB
ejpam-3408	129	6	[	[	X
ejpam-3408	129	7	94	94	NUM
ejpam-3408	129	8	]	]	PUNCT
ejpam-3408	129	9	investigated	investigate	VERB
ejpam-3408	129	10	that	that	SCONJ
ejpam-3408	129	11	solvable	solvable	ADJ
ejpam-3408	129	12	rings	ring	NOUN
ejpam-3408	129	13	satisfying	satisfy	VERB
ejpam-3408	129	14	the	the	DET
ejpam-3408	129	15	n	n	CCONJ
ejpam-3408	129	16	-	-	PUNCT
ejpam-3408	129	17	th	th	X
ejpam-3408	129	18	engel	engel	PROPN
ejpam-3408	129	19	condition	condition	NOUN
ejpam-3408	129	20	are	be	AUX
ejpam-3408	129	21	nilpotent	nilpotent	ADJ
ejpam-3408	129	22	and	and	CCONJ
ejpam-3408	129	23	in	in	ADP
ejpam-3408	129	24	continuation	continuation	NOUN
ejpam-3408	129	25	,	,	PUNCT
ejpam-3408	129	26	lazard	lazard	NOUN
ejpam-3408	129	27	[	[	X
ejpam-3408	129	28	159	159	NUM
ejpam-3408	129	29	]	]	PUNCT
ejpam-3408	129	30	studied	study	VERB
ejpam-3408	129	31	nilpotent	nilpotent	ADJ
ejpam-3408	129	32	groups	group	NOUN
ejpam-3408	129	33	using	use	VERB
ejpam-3408	129	34	large	large	ADJ
ejpam-3408	129	35	parts	part	NOUN
ejpam-3408	129	36	of	of	ADP
ejpam-3408	129	37	the	the	DET
ejpam-3408	129	38	apparatus	apparatus	NOUN
ejpam-3408	129	39	of	of	ADP
ejpam-3408	129	40	lie	lie	NOUN
ejpam-3408	129	41	ring	ring	NOUN
ejpam-3408	129	42	theory	theory	NOUN
ejpam-3408	129	43	.	.	PUNCT
ejpam-3408	130	1	in	in	ADP
ejpam-3408	130	2	1955	1955	NUM
ejpam-3408	130	3	,	,	PUNCT
ejpam-3408	130	4	cohn	cohn	PROPN
ejpam-3408	130	5	[	[	X
ejpam-3408	130	6	32	32	NUM
ejpam-3408	130	7	]	]	PUNCT
ejpam-3408	130	8	constructed	construct	VERB
ejpam-3408	130	9	an	an	DET
ejpam-3408	130	10	example	example	NOUN
ejpam-3408	130	11	of	of	ADP
ejpam-3408	130	12	a	a	DET
ejpam-3408	130	13	solvable	solvable	ADJ
ejpam-3408	130	14	lie	lie	NOUN
ejpam-3408	130	15	ring	ring	NOUN
ejpam-3408	130	16	,	,	PUNCT
ejpam-3408	130	17	with	with	ADP
ejpam-3408	130	18	additive	additive	ADJ
ejpam-3408	130	19	p	p	NOUN
ejpam-3408	130	20	-	-	PUNCT
ejpam-3408	130	21	group	group	NOUN
ejpam-3408	130	22	(	(	PUNCT
ejpam-3408	130	23	in	in	ADP
ejpam-3408	130	24	characteristic	characteristic	ADJ
ejpam-3408	130	25	p	p	X
ejpam-3408	130	26	)	)	PUNCT
ejpam-3408	130	27	and	and	CCONJ
ejpam-3408	130	28	satisfying	satisfy	VERB
ejpam-3408	130	29	the	the	DET
ejpam-3408	130	30	p	p	PROPN
ejpam-3408	130	31	-	-	PUNCT
ejpam-3408	130	32	th	th	X
ejpam-3408	130	33	engel	engel	NOUN
ejpam-3408	130	34	condition	condition	NOUN
ejpam-3408	130	35	,	,	PUNCT
ejpam-3408	130	36	which	which	PRON
ejpam-3408	130	37	is	be	AUX
ejpam-3408	130	38	not	not	PART
ejpam-3408	130	39	nilpotent	nilpotent	ADJ
ejpam-3408	130	40	.	.	PUNCT
ejpam-3408	131	1	lie	lie	NOUN
ejpam-3408	131	2	rings	ring	NOUN
ejpam-3408	131	3	with	with	ADP
ejpam-3408	131	4	a	a	DET
ejpam-3408	131	5	finite	finite	ADJ
ejpam-3408	131	6	number	number	NOUN
ejpam-3408	131	7	of	of	ADP
ejpam-3408	131	8	generators	generator	NOUN
ejpam-3408	131	9	and	and	CCONJ
ejpam-3408	131	10	some	some	DET
ejpam-3408	131	11	restrictions	restriction	NOUN
ejpam-3408	131	12	on	on	ADP
ejpam-3408	131	13	the	the	DET
ejpam-3408	131	14	additive	additive	ADJ
ejpam-3408	131	15	group	group	NOUN
ejpam-3408	131	16	.	.	PUNCT
ejpam-3408	132	1	also	also	ADV
ejpam-3408	132	2	in	in	ADP
ejpam-3408	132	3	1955	1955	NUM
ejpam-3408	132	4	,	,	PUNCT
ejpam-3408	132	5	malcev	malcev	ADJ
ejpam-3408	133	1	[	[	X
ejpam-3408	133	2	175	175	NUM
ejpam-3408	133	3	]	]	PUNCT
ejpam-3408	133	4	considered	consider	VERB
ejpam-3408	133	5	a	a	DET
ejpam-3408	133	6	class	class	NOUN
ejpam-3408	133	7	of	of	ADP
ejpam-3408	133	8	binary	binary	ADJ
ejpam-3408	133	9	-	-	PUNCT
ejpam-3408	133	10	lie	lie	NOUN
ejpam-3408	133	11	rings	ring	NOUN
ejpam-3408	133	12	,	,	PUNCT
ejpam-3408	133	13	which	which	PRON
ejpam-3408	133	14	are	be	AUX
ejpam-3408	133	15	related	relate	VERB
ejpam-3408	133	16	to	to	PART
ejpam-3408	133	17	lie	lie	VERB
ejpam-3408	133	18	rings	ring	NOUN
ejpam-3408	133	19	in	in	ADP
ejpam-3408	133	20	a	a	DET
ejpam-3408	133	21	way	way	NOUN
ejpam-3408	133	22	analogous	analogous	ADJ
ejpam-3408	133	23	to	to	ADP
ejpam-3408	133	24	the	the	DET
ejpam-3408	133	25	way	way	NOUN
ejpam-3408	133	26	alternative	alternative	ADJ
ejpam-3408	133	27	rings	ring	NOUN
ejpam-3408	133	28	are	be	AUX
ejpam-3408	133	29	related	relate	VERB
ejpam-3408	133	30	to	to	ADP
ejpam-3408	133	31	associative	associative	ADJ
ejpam-3408	133	32	rings	ring	NOUN
ejpam-3408	133	33	.	.	PUNCT
ejpam-3408	134	1	in	in	ADP
ejpam-3408	134	2	(	(	PUNCT
ejpam-3408	134	3	1955	1955	NUM
ejpam-3408	134	4	-	-	SYM
ejpam-3408	134	5	56	56	NUM
ejpam-3408	134	6	)	)	PUNCT
ejpam-3408	134	7	,	,	PUNCT
ejpam-3408	134	8	herstein	herstein	NOUN
ejpam-3408	134	9	[	[	X
ejpam-3408	134	10	85–87	85–87	NUM
ejpam-3408	134	11	]	]	PUNCT
ejpam-3408	134	12	discussed	discuss	VERB
ejpam-3408	134	13	associative	associative	ADJ
ejpam-3408	134	14	rings	ring	NOUN
ejpam-3408	134	15	which	which	PRON
ejpam-3408	134	16	are	be	AUX
ejpam-3408	134	17	dedicated	dedicate	VERB
ejpam-3408	134	18	to	to	ADP
ejpam-3408	134	19	studying	study	VERB
ejpam-3408	134	20	the	the	DET
ejpam-3408	134	21	rings	ring	NOUN
ejpam-3408	134	22	a(−	a(−	VERB
ejpam-3408	134	23	)	)	PUNCT
ejpam-3408	134	24	with	with	ADP
ejpam-3408	134	25	different	different	ADJ
ejpam-3408	134	26	assumptions	assumption	NOUN
ejpam-3408	134	27	on	on	ADP
ejpam-3408	134	28	the	the	DET
ejpam-3408	134	29	ring	ring	NOUN
ejpam-3408	134	30	a.	a.	NOUN
ejpam-3408	134	31	in	in	ADP
ejpam-3408	134	32	1956	1956	NUM
ejpam-3408	134	33	,	,	PUNCT
ejpam-3408	134	34	witt	witt	NOUN
ejpam-3408	135	1	[	[	X
ejpam-3408	135	2	262	262	NUM
ejpam-3408	135	3	]	]	PUNCT
ejpam-3408	135	4	proved	prove	VERB
ejpam-3408	135	5	that	that	SCONJ
ejpam-3408	135	6	any	any	DET
ejpam-3408	135	7	sub	sub	NOUN
ejpam-3408	135	8	-	-	NOUN
ejpam-3408	135	9	algebra	algebra	NOUN
ejpam-3408	135	10	of	of	ADP
ejpam-3408	135	11	a	a	DET
ejpam-3408	135	12	free	free	ADJ
ejpam-3408	135	13	lie	lie	NOUN
ejpam-3408	135	14	algebra	algebra	NOUN
ejpam-3408	135	15	is	be	AUX
ejpam-3408	135	16	again	again	ADV
ejpam-3408	135	17	free	free	ADJ
ejpam-3408	135	18	.	.	PUNCT
ejpam-3408	136	1	this	this	DET
ejpam-3408	136	2	theorem	theorem	NOUN
ejpam-3408	136	3	is	be	AUX
ejpam-3408	136	4	analogous	analogous	ADJ
ejpam-3408	136	5	to	to	ADP
ejpam-3408	136	6	the	the	DET
ejpam-3408	136	7	theorem	theorem	NOUN
ejpam-3408	136	8	of	of	ADP
ejpam-3408	136	9	kurosh	kurosh	NOUN
ejpam-3408	136	10	for	for	ADP
ejpam-3408	136	11	sub	sub	NOUN
ejpam-3408	136	12	-	-	NOUN
ejpam-3408	136	13	algebras	algebra	NOUN
ejpam-3408	136	14	of	of	ADP
ejpam-3408	136	15	free	free	ADJ
ejpam-3408	136	16	algebras	algebra	NOUN
ejpam-3408	136	17	.	.	PUNCT
ejpam-3408	137	1	in	in	ADP
ejpam-3408	137	2	the	the	DET
ejpam-3408	137	3	year	year	NOUN
ejpam-3408	137	4	1957	1957	NUM
ejpam-3408	137	5	,	,	PUNCT
ejpam-3408	137	6	many	many	ADJ
ejpam-3408	137	7	authors	author	NOUN
ejpam-3408	137	8	work	work	VERB
ejpam-3408	137	9	on	on	ADP
ejpam-3408	137	10	lie	lie	NOUN
ejpam-3408	137	11	algebra	algebra	NOUN
ejpam-3408	137	12	.	.	PUNCT
ejpam-3408	138	1	for	for	ADP
ejpam-3408	138	2	example	example	NOUN
ejpam-3408	138	3	,	,	PUNCT
ejpam-3408	138	4	higman	higman	NOUN
ejpam-3408	138	5	[	[	X
ejpam-3408	138	6	96	96	NUM
ejpam-3408	138	7	]	]	PUNCT
ejpam-3408	138	8	proved	prove	VERB
ejpam-3408	138	9	nilpotency	nilpotency	NOUN
ejpam-3408	138	10	of	of	ADP
ejpam-3408	138	11	any	any	DET
ejpam-3408	138	12	lie	lie	NOUN
ejpam-3408	138	13	ring	ring	NOUN
ejpam-3408	138	14	which	which	PRON
ejpam-3408	138	15	has	have	VERB
ejpam-3408	138	16	an	an	DET
ejpam-3408	138	17	automorphism	automorphism	NOUN
ejpam-3408	138	18	of	of	ADP
ejpam-3408	138	19	prime	prime	ADJ
ejpam-3408	138	20	order	order	NOUN
ejpam-3408	138	21	without	without	ADP
ejpam-3408	138	22	nonzero	nonzero	ADJ
ejpam-3408	138	23	fixed	fix	VERB
ejpam-3408	138	24	points	point	NOUN
ejpam-3408	138	25	.	.	PUNCT
ejpam-3408	139	1	this	this	DET
ejpam-3408	139	2	statement	statement	NOUN
ejpam-3408	139	3	allowed	allow	VERB
ejpam-3408	139	4	him	he	PRON
ejpam-3408	139	5	to	to	PART
ejpam-3408	139	6	prove	prove	VERB
ejpam-3408	139	7	nilpotency	nilpotency	NOUN
ejpam-3408	139	8	of	of	ADP
ejpam-3408	139	9	finite	finite	ADJ
ejpam-3408	139	10	solvable	solvable	ADJ
ejpam-3408	139	11	groups	group	NOUN
ejpam-3408	139	12	which	which	PRON
ejpam-3408	139	13	have	have	VERB
ejpam-3408	139	14	an	an	DET
ejpam-3408	139	15	automorphism	automorphism	NOUN
ejpam-3408	139	16	satisfying	satisfy	VERB
ejpam-3408	139	17	the	the	DET
ejpam-3408	139	18	analogous	analogous	ADJ
ejpam-3408	139	19	condition	condition	NOUN
ejpam-3408	139	20	.	.	PUNCT
ejpam-3408	140	1	gainov	gainov	PROPN
ejpam-3408	141	1	[	[	X
ejpam-3408	141	2	52	52	NUM
ejpam-3408	141	3	]	]	PUNCT
ejpam-3408	141	4	,	,	PUNCT
ejpam-3408	141	5	investigated	investigate	VERB
ejpam-3408	141	6	that	that	SCONJ
ejpam-3408	141	7	in	in	ADP
ejpam-3408	141	8	the	the	DET
ejpam-3408	141	9	case	case	NOUN
ejpam-3408	141	10	of	of	ADP
ejpam-3408	141	11	a	a	DET
ejpam-3408	141	12	ring	ring	NOUN
ejpam-3408	141	13	for	for	ADP
ejpam-3408	141	14	which	which	PRON
ejpam-3408	141	15	the	the	DET
ejpam-3408	141	16	additive	additive	ADJ
ejpam-3408	141	17	group	group	NOUN
ejpam-3408	141	18	has	have	VERB
ejpam-3408	141	19	no	no	DET
ejpam-3408	141	20	elements	element	NOUN
ejpam-3408	141	21	of	of	ADP
ejpam-3408	141	22	order	order	NOUN
ejpam-3408	141	23	two	two	NUM
ejpam-3408	141	24	,	,	PUNCT
ejpam-3408	141	25	for	for	ADP
ejpam-3408	141	26	a	a	DET
ejpam-3408	141	27	ring	ring	NOUN
ejpam-3408	141	28	to	to	PART
ejpam-3408	141	29	be	be	AUX
ejpam-3408	141	30	binary	binary	ADJ
ejpam-3408	141	31	-	-	PUNCT
ejpam-3408	141	32	lie	lie	NOUN
ejpam-3408	141	33	it	it	PRON
ejpam-3408	141	34	is	be	AUX
ejpam-3408	141	35	sufficient	sufficient	ADJ
ejpam-3408	141	36	that	that	SCONJ
ejpam-3408	141	37	these	these	DET
ejpam-3408	141	38	identities	identity	NOUN
ejpam-3408	141	39	hold	hold	VERB
ejpam-3408	141	40	:	:	PUNCT
ejpam-3408	141	41	a2	a2	PROPN
ejpam-3408	141	42	=	=	PUNCT
ejpam-3408	142	1	[	[	X
ejpam-3408	142	2	(	(	PUNCT
ejpam-3408	142	3	ab)b]a	ab)b]a	X
ejpam-3408	142	4	+	+	X
ejpam-3408	143	1	[	[	X
ejpam-3408	143	2	(	(	PUNCT
ejpam-3408	143	3	ba)a]b	ba)a]b	X
ejpam-3408	143	4	=	=	NOUN
ejpam-3408	143	5	0	0	X
ejpam-3408	143	6	.	.	PUNCT
ejpam-3408	144	1	the	the	DET
ejpam-3408	144	2	author	author	NOUN
ejpam-3408	144	3	proposed	propose	VERB
ejpam-3408	144	4	that	that	SCONJ
ejpam-3408	144	5	on	on	ADP
ejpam-3408	144	6	the	the	DET
ejpam-3408	144	7	set	set	NOUN
ejpam-3408	144	8	of	of	ADP
ejpam-3408	144	9	elements	element	NOUN
ejpam-3408	144	10	of	of	ADP
ejpam-3408	144	11	some	some	DET
ejpam-3408	144	12	alternative	alternative	ADJ
ejpam-3408	144	13	ring	ring	NOUN
ejpam-3408	144	14	d	d	NOUN
ejpam-3408	144	15	,	,	PUNCT
ejpam-3408	144	16	we	we	PRON
ejpam-3408	144	17	can	can	AUX
ejpam-3408	144	18	define	define	VERB
ejpam-3408	144	19	the	the	DET
ejpam-3408	144	20	above	above	ADJ
ejpam-3408	144	21	described	describe	VERB
ejpam-3408	144	22	operation	operation	NOUN
ejpam-3408	144	23	x.y	x.y	PROPN
ejpam-3408	144	24	=	=	PROPN
ejpam-3408	144	25	xy	xy	PROPN
ejpam-3408	144	26	−	−	PROPN
ejpam-3408	145	1	yx	yx	INTJ
ejpam-3408	146	1	and	and	CCONJ
ejpam-3408	146	2	then	then	ADV
ejpam-3408	146	3	it	it	PRON
ejpam-3408	146	4	implies	imply	VERB
ejpam-3408	146	5	that	that	SCONJ
ejpam-3408	146	6	in	in	ADP
ejpam-3408	146	7	the	the	DET
ejpam-3408	146	8	ring	ring	NOUN
ejpam-3408	146	9	d(−	d(−	PROPN
ejpam-3408	146	10	)	)	PUNCT
ejpam-3408	146	11	,	,	PUNCT
ejpam-3408	146	12	these	these	DET
ejpam-3408	146	13	relations	relation	NOUN
ejpam-3408	146	14	hold	hold	VERB
ejpam-3408	146	15	identically	identically	ADV
ejpam-3408	146	16	:	:	PUNCT
ejpam-3408	146	17	a2	a2	PROPN
ejpam-3408	146	18	=	=	PUNCT
ejpam-3408	147	1	[	[	X
ejpam-3408	147	2	(	(	PUNCT
ejpam-3408	147	3	a.b).c].a	a.b).c].a	NOUN
ejpam-3408	147	4	+	+	SYM
ejpam-3408	148	1	[	[	X
ejpam-3408	148	2	(	(	PUNCT
ejpam-3408	148	3	b.c).a].a	b.c).a].a	NOUN
ejpam-3408	148	4	+	+	X
ejpam-3408	149	1	[	[	X
ejpam-3408	149	2	(	(	PUNCT
ejpam-3408	149	3	c.a).a].b	c.a).a].b	PROPN
ejpam-3408	149	4	−	−	PROPN
ejpam-3408	149	5	(	(	PUNCT
ejpam-3408	149	6	a.b).(a.c	a.b).(a.c	NUM
ejpam-3408	149	7	)	)	PUNCT
ejpam-3408	149	8	=	=	SYM
ejpam-3408	149	9	0	0	X
ejpam-3408	149	10	.	.	PUNCT
ejpam-3408	149	11	rings	ring	NOUN
ejpam-3408	149	12	satisfying	satisfy	VERB
ejpam-3408	149	13	these	these	DET
ejpam-3408	149	14	identities	identity	NOUN
ejpam-3408	149	15	are	be	AUX
ejpam-3408	149	16	called	call	VERB
ejpam-3408	149	17	moufang	moufang	PROPN
ejpam-3408	149	18	-	-	PUNCT
ejpam-3408	149	19	lie	lie	NOUN
ejpam-3408	149	20	rings	ring	NOUN
ejpam-3408	149	21	.	.	PUNCT
ejpam-3408	150	1	he	he	PRON
ejpam-3408	150	2	showed	show	VERB
ejpam-3408	150	3	that	that	SCONJ
ejpam-3408	150	4	the	the	DET
ejpam-3408	150	5	class	class	NOUN
ejpam-3408	150	6	of	of	ADP
ejpam-3408	150	7	moufang	moufang	PROPN
ejpam-3408	150	8	-	-	PUNCT
ejpam-3408	150	9	lie	lie	NOUN
ejpam-3408	150	10	rings	ring	NOUN
ejpam-3408	150	11	without	without	ADP
ejpam-3408	150	12	elements	element	NOUN
ejpam-3408	150	13	of	of	ADP
ejpam-3408	150	14	additive	additive	ADJ
ejpam-3408	150	15	order	order	NOUN
ejpam-3408	150	16	6	6	NUM
ejpam-3408	150	17	is	be	AUX
ejpam-3408	150	18	properly	properly	ADV
ejpam-3408	150	19	contained	contain	VERB
ejpam-3408	150	20	in	in	ADP
ejpam-3408	150	21	the	the	DET
ejpam-3408	150	22	class	class	NOUN
ejpam-3408	150	23	of	of	ADP
ejpam-3408	150	24	binary	binary	ADJ
ejpam-3408	150	25	-	-	PUNCT
ejpam-3408	150	26	lie	lie	NOUN
ejpam-3408	150	27	rings	ring	NOUN
ejpam-3408	150	28	.	.	PUNCT
ejpam-3408	151	1	in	in	ADP
ejpam-3408	151	2	(	(	PUNCT
ejpam-3408	151	3	1957	1957	NUM
ejpam-3408	151	4	-	-	SYM
ejpam-3408	151	5	58	58	NUM
ejpam-3408	151	6	)	)	PUNCT
ejpam-3408	151	7	,	,	PUNCT
ejpam-3408	151	8	kostrikin	kostrikin	X
ejpam-3408	151	9	[	[	X
ejpam-3408	151	10	147	147	NUM
ejpam-3408	151	11	]	]	PUNCT
ejpam-3408	151	12	proved	prove	VERB
ejpam-3408	151	13	that	that	SCONJ
ejpam-3408	151	14	the	the	DET
ejpam-3408	151	15	engel	engel	PROPN
ejpam-3408	151	16	condition	condition	NOUN
ejpam-3408	151	17	implies	imply	VERB
ejpam-3408	151	18	nilpotency	nilpotency	NOUN
ejpam-3408	151	19	.	.	PUNCT
ejpam-3408	152	1	this	this	DET
ejpam-3408	152	2	result	result	NOUN
ejpam-3408	152	3	is	be	AUX
ejpam-3408	152	4	especially	especially	ADV
ejpam-3408	152	5	interesting	interesting	ADJ
ejpam-3408	152	6	because	because	SCONJ
ejpam-3408	152	7	from	from	SCONJ
ejpam-3408	152	8	it	it	PRON
ejpam-3408	152	9	follows	follow	VERB
ejpam-3408	152	10	the	the	DET
ejpam-3408	152	11	positive	positive	ADJ
ejpam-3408	152	12	solution	solution	NOUN
ejpam-3408	152	13	of	of	ADP
ejpam-3408	152	14	the	the	DET
ejpam-3408	152	15	group	group	NOUN
ejpam-3408	152	16	-	-	PUNCT
ejpam-3408	152	17	theoretical	theoretical	ADJ
ejpam-3408	152	18	restricted	restrict	VERB
ejpam-3408	152	19	burnside	burnside	NOUN
ejpam-3408	152	20	problem	problem	NOUN
ejpam-3408	152	21	for	for	ADP
ejpam-3408	152	22	p	p	NOUN
ejpam-3408	152	23	-	-	PUNCT
ejpam-3408	152	24	groups	group	NOUN
ejpam-3408	152	25	with	with	ADP
ejpam-3408	152	26	elements	element	NOUN
ejpam-3408	152	27	of	of	ADP
ejpam-3408	152	28	prime	prime	ADJ
ejpam-3408	152	29	order	order	NOUN
ejpam-3408	153	1	[	[	X
ejpam-3408	153	2	145	145	NUM
ejpam-3408	153	3	,	,	PUNCT
ejpam-3408	153	4	146	146	NUM
ejpam-3408	153	5	]	]	PUNCT
ejpam-3408	153	6	.	.	PUNCT
ejpam-3408	154	1	herstein	herstein	PROPN
ejpam-3408	154	2	and	and	CCONJ
ejpam-3408	154	3	kleinfeld	kleinfeld	VERB
ejpam-3408	155	1	[	[	X
ejpam-3408	155	2	93	93	NUM
ejpam-3408	155	3	]	]	PUNCT
ejpam-3408	155	4	in	in	ADP
ejpam-3408	155	5	1960	1960	NUM
ejpam-3408	155	6	,	,	PUNCT
ejpam-3408	155	7	discussed	discuss	VERB
ejpam-3408	155	8	that	that	SCONJ
ejpam-3408	155	9	the	the	DET
ejpam-3408	155	10	mappings	mapping	NOUN
ejpam-3408	155	11	φ	φ	VERB
ejpam-3408	155	12	onto	onto	ADP
ejpam-3408	155	13	a	a	DET
ejpam-3408	155	14	simple	simple	ADJ
ejpam-3408	155	15	ring	ring	NOUN
ejpam-3408	155	16	a.	a.	NOUN
ejpam-3408	155	17	razzaque	razzaque	NOUN
ejpam-3408	156	1	et	et	PROPN
ejpam-3408	156	2	al	al	PROPN
ejpam-3408	156	3	.	.	PUNCT
ejpam-3408	156	4	/	/	SYM
ejpam-3408	156	5	eur	eur	PROPN
ejpam-3408	156	6	.	.	PUNCT
ejpam-3408	157	1	j.	j.	PROPN
ejpam-3408	157	2	pure	pure	PROPN
ejpam-3408	157	3	appl	appl	PROPN
ejpam-3408	157	4	.	.	PROPN
ejpam-3408	157	5	math	math	PROPN
ejpam-3408	157	6	,	,	PUNCT
ejpam-3408	157	7	12	12	NUM
ejpam-3408	157	8	(	(	PUNCT
ejpam-3408	157	9	2	2	NUM
ejpam-3408	157	10	)	)	PUNCT
ejpam-3408	157	11	(	(	PUNCT
ejpam-3408	157	12	2019	2019	NUM
ejpam-3408	157	13	)	)	PUNCT
ejpam-3408	157	14	,	,	PUNCT
ejpam-3408	157	15	370	370	NUM
ejpam-3408	157	16	-	-	SYM
ejpam-3408	157	17	408	408	NUM
ejpam-3408	157	18	375	375	NUM
ejpam-3408	157	19	of	of	ADP
ejpam-3408	157	20	characteristic	characteristic	ADJ
ejpam-3408	157	21	2	2	NUM
ejpam-3408	157	22	which	which	PRON
ejpam-3408	157	23	preserve	preserve	VERB
ejpam-3408	157	24	commutators	commutator	NOUN
ejpam-3408	157	25	and	and	CCONJ
ejpam-3408	157	26	cubes	cube	NOUN
ejpam-3408	157	27	.	.	PUNCT
ejpam-3408	158	1	this	this	DET
ejpam-3408	158	2	situation	situation	NOUN
ejpam-3408	158	3	is	be	AUX
ejpam-3408	158	4	of	of	ADP
ejpam-3408	158	5	interest	interest	NOUN
ejpam-3408	158	6	for	for	ADP
ejpam-3408	158	7	in	in	ADP
ejpam-3408	158	8	characteristic	characteristic	ADJ
ejpam-3408	158	9	2	2	NUM
ejpam-3408	158	10	jordan	jordan	PROPN
ejpam-3408	158	11	homomorphisms	homomorphism	NOUN
ejpam-3408	158	12	are	be	AUX
ejpam-3408	158	13	the	the	DET
ejpam-3408	158	14	same	same	ADJ
ejpam-3408	158	15	thing	thing	NOUN
ejpam-3408	158	16	as	as	ADP
ejpam-3408	158	17	lie	lie	NOUN
ejpam-3408	158	18	homomorphisms	homomorphism	NOUN
ejpam-3408	158	19	,	,	PUNCT
ejpam-3408	158	20	that	that	ADV
ejpam-3408	158	21	is	is	ADV
ejpam-3408	158	22	,	,	PUNCT
ejpam-3408	158	23	mappings	mapping	NOUN
ejpam-3408	158	24	which	which	PRON
ejpam-3408	158	25	preserve	preserve	VERB
ejpam-3408	158	26	commutators	commutator	NOUN
ejpam-3408	158	27	.	.	PUNCT
ejpam-3408	159	1	in	in	ADP
ejpam-3408	159	2	1961	1961	NUM
ejpam-3408	159	3	,	,	PUNCT
ejpam-3408	159	4	macdonald	macdonald	PROPN
ejpam-3408	160	1	[	[	X
ejpam-3408	160	2	164	164	NUM
ejpam-3408	160	3	]	]	PUNCT
ejpam-3408	160	4	established	establish	VERB
ejpam-3408	160	5	analogous	analogous	ADJ
ejpam-3408	160	6	results	result	NOUN
ejpam-3408	160	7	that	that	PRON
ejpam-3408	160	8	are	be	AUX
ejpam-3408	160	9	valid	valid	ADJ
ejpam-3408	160	10	for	for	ADP
ejpam-3408	160	11	some	some	DET
ejpam-3408	160	12	varieties	variety	NOUN
ejpam-3408	160	13	of	of	ADP
ejpam-3408	160	14	lie	lie	NOUN
ejpam-3408	160	15	rings	ring	NOUN
ejpam-3408	160	16	.	.	PUNCT
ejpam-3408	161	1	it	it	PRON
ejpam-3408	161	2	is	be	AUX
ejpam-3408	161	3	natural	natural	ADJ
ejpam-3408	161	4	to	to	PART
ejpam-3408	161	5	bring	bring	VERB
ejpam-3408	161	6	some	some	DET
ejpam-3408	161	7	methods	method	NOUN
ejpam-3408	161	8	in	in	ADP
ejpam-3408	161	9	finite	finite	PROPN
ejpam-3408	161	10	group	group	NOUN
ejpam-3408	161	11	theory	theory	NOUN
ejpam-3408	161	12	into	into	ADP
ejpam-3408	161	13	the	the	DET
ejpam-3408	161	14	study	study	NOUN
ejpam-3408	161	15	of	of	ADP
ejpam-3408	161	16	lie	lie	NOUN
ejpam-3408	161	17	algebras	algebra	NOUN
ejpam-3408	161	18	.	.	PUNCT
ejpam-3408	162	1	herstein	herstein	PROPN
ejpam-3408	163	1	[	[	X
ejpam-3408	163	2	89	89	NUM
ejpam-3408	163	3	]	]	PUNCT
ejpam-3408	163	4	in	in	ADP
ejpam-3408	163	5	1961	1961	NUM
ejpam-3408	163	6	gave	give	VERB
ejpam-3408	163	7	us	we	PRON
ejpam-3408	163	8	the	the	DET
ejpam-3408	163	9	idea	idea	NOUN
ejpam-3408	163	10	of	of	ADP
ejpam-3408	163	11	lie	lie	NOUN
ejpam-3408	163	12	and	and	CCONJ
ejpam-3408	163	13	jordan	jordan	PROPN
ejpam-3408	163	14	structures	structure	NOUN
ejpam-3408	163	15	in	in	ADP
ejpam-3408	163	16	simple	simple	ADJ
ejpam-3408	163	17	associative	associative	ADJ
ejpam-3408	163	18	rings	ring	NOUN
ejpam-3408	163	19	.	.	PUNCT
ejpam-3408	164	1	in	in	ADP
ejpam-3408	164	2	1963	1963	NUM
ejpam-3408	164	3	,	,	PUNCT
ejpam-3408	164	4	kreknin	kreknin	X
ejpam-3408	164	5	[	[	X
ejpam-3408	164	6	148	148	NUM
ejpam-3408	164	7	]	]	PUNCT
ejpam-3408	164	8	examined	examine	VERB
ejpam-3408	164	9	that	that	SCONJ
ejpam-3408	164	10	if	if	SCONJ
ejpam-3408	164	11	a	a	DET
ejpam-3408	164	12	lie	lie	NOUN
ejpam-3408	164	13	ring	ring	NOUN
ejpam-3408	164	14	l	l	PROPN
ejpam-3408	164	15	admits	admit	VERB
ejpam-3408	164	16	a	a	DET
ejpam-3408	164	17	regular	regular	ADJ
ejpam-3408	164	18	automorphism	automorphism	NOUN
ejpam-3408	164	19	φ	φ	NOUN
ejpam-3408	164	20	of	of	ADP
ejpam-3408	164	21	finite	finite	ADJ
ejpam-3408	164	22	order	order	NOUN
ejpam-3408	164	23	k	k	NOUN
ejpam-3408	164	24	,	,	PUNCT
ejpam-3408	164	25	that	that	ADV
ejpam-3408	164	26	is	is	ADV
ejpam-3408	164	27	,	,	PUNCT
ejpam-3408	164	28	such	such	ADJ
ejpam-3408	164	29	that	that	SCONJ
ejpam-3408	164	30	φk	φk	ADP
ejpam-3408	164	31	=	=	SYM
ejpam-3408	164	32	1	1	NUM
ejpam-3408	164	33	and	and	CCONJ
ejpam-3408	164	34	cl(φ	cl(φ	NUM
ejpam-3408	164	35	)	)	PUNCT
ejpam-3408	164	36	=	=	SYM
ejpam-3408	164	37	0	0	NUM
ejpam-3408	164	38	,	,	PUNCT
ejpam-3408	164	39	then	then	ADV
ejpam-3408	164	40	l	l	NOUN
ejpam-3408	164	41	is	be	AUX
ejpam-3408	164	42	soluble	soluble	ADJ
ejpam-3408	164	43	of	of	ADP
ejpam-3408	164	44	derived	derived	ADJ
ejpam-3408	164	45	length	length	NOUN
ejpam-3408	164	46	bounded	bound	VERB
ejpam-3408	164	47	by	by	ADP
ejpam-3408	164	48	a	a	DET
ejpam-3408	164	49	function	function	NOUN
ejpam-3408	164	50	of	of	ADP
ejpam-3408	164	51	k	k	NOUN
ejpam-3408	164	52	,	,	PUNCT
ejpam-3408	164	53	actually	actually	ADV
ejpam-3408	164	54	,	,	PUNCT
ejpam-3408	164	55	by	by	ADP
ejpam-3408	164	56	2k−2	2k−2	PROPN
ejpam-3408	164	57	.	.	PUNCT
ejpam-3408	165	1	he	he	PRON
ejpam-3408	165	2	also	also	ADV
ejpam-3408	165	3	discussed	discuss	VERB
ejpam-3408	165	4	the	the	DET
ejpam-3408	165	5	bounded	bounded	ADJ
ejpam-3408	165	6	solubility	solubility	NOUN
ejpam-3408	165	7	of	of	ADP
ejpam-3408	165	8	a	a	DET
ejpam-3408	165	9	lie	lie	NOUN
ejpam-3408	165	10	ring	ring	NOUN
ejpam-3408	165	11	with	with	ADP
ejpam-3408	165	12	a	a	DET
ejpam-3408	165	13	fixed	fix	VERB
ejpam-3408	165	14	-	-	PUNCT
ejpam-3408	165	15	point	point	NOUN
ejpam-3408	165	16	-	-	PUNCT
ejpam-3408	165	17	free	free	ADJ
ejpam-3408	165	18	automorphism	automorphism	NOUN
ejpam-3408	165	19	,	,	PUNCT
ejpam-3408	165	20	but	but	CCONJ
ejpam-3408	165	21	the	the	DET
ejpam-3408	165	22	existing	exist	VERB
ejpam-3408	165	23	lie	lie	NOUN
ejpam-3408	165	24	ring	ring	NOUN
ejpam-3408	165	25	methods	method	NOUN
ejpam-3408	165	26	can	can	AUX
ejpam-3408	165	27	not	not	PART
ejpam-3408	165	28	be	be	AUX
ejpam-3408	165	29	used	use	VERB
ejpam-3408	165	30	for	for	ADP
ejpam-3408	165	31	bounding	bound	VERB
ejpam-3408	165	32	the	the	DET
ejpam-3408	165	33	derived	derived	ADJ
ejpam-3408	165	34	length	length	NOUN
ejpam-3408	165	35	in	in	ADP
ejpam-3408	165	36	general	general	ADJ
ejpam-3408	165	37	.	.	PUNCT
ejpam-3408	166	1	moreover	moreover	ADV
ejpam-3408	166	2	,	,	PUNCT
ejpam-3408	166	3	kreknin	kreknin	PROPN
ejpam-3408	166	4	and	and	CCONJ
ejpam-3408	166	5	kostrikin	kostrikin	X
ejpam-3408	166	6	[	[	X
ejpam-3408	166	7	150	150	NUM
ejpam-3408	166	8	]	]	PUNCT
ejpam-3408	166	9	in	in	ADP
ejpam-3408	166	10	1963	1963	NUM
ejpam-3408	166	11	suggested	suggest	VERB
ejpam-3408	166	12	that	that	SCONJ
ejpam-3408	166	13	a	a	DET
ejpam-3408	166	14	lie	lie	NOUN
ejpam-3408	166	15	ring	ring	NOUN
ejpam-3408	166	16	with	with	ADP
ejpam-3408	166	17	a	a	DET
ejpam-3408	166	18	fixed	fix	VERB
ejpam-3408	166	19	-	-	PUNCT
ejpam-3408	166	20	point	point	NOUN
ejpam-3408	166	21	-	-	PUNCT
ejpam-3408	166	22	free	free	ADJ
ejpam-3408	166	23	automorphism	automorphism	NOUN
ejpam-3408	166	24	of	of	ADP
ejpam-3408	166	25	prime	prime	ADJ
ejpam-3408	166	26	order	order	NOUN
ejpam-3408	166	27	p	p	NOUN
ejpam-3408	166	28	is	be	AUX
ejpam-3408	166	29	nilpotent	nilpotent	ADJ
ejpam-3408	166	30	of	of	ADP
ejpam-3408	166	31	p	p	NOUN
ejpam-3408	166	32	-	-	PUNCT
ejpam-3408	166	33	bounded	bound	VERB
ejpam-3408	166	34	class	class	NOUN
ejpam-3408	166	35	.	.	PUNCT
ejpam-3408	167	1	in	in	ADP
ejpam-3408	167	2	continuation	continuation	NOUN
ejpam-3408	167	3	kreknin	kreknin	PROPN
ejpam-3408	167	4	and	and	CCONJ
ejpam-3408	167	5	kostrikin	kostrikin	PROPN
ejpam-3408	167	6	also	also	ADV
ejpam-3408	167	7	investigated	investigate	VERB
ejpam-3408	167	8	that	that	SCONJ
ejpam-3408	167	9	a	a	DET
ejpam-3408	167	10	lie	lie	NOUN
ejpam-3408	167	11	ring	ring	NOUN
ejpam-3408	167	12	(	(	PUNCT
ejpam-3408	167	13	algebra	algebra	PROPN
ejpam-3408	167	14	)	)	PUNCT
ejpam-3408	167	15	admitting	admit	VERB
ejpam-3408	167	16	a	a	DET
ejpam-3408	167	17	regular	regular	ADJ
ejpam-3408	167	18	(	(	PUNCT
ejpam-3408	167	19	i.e.	i.e.	X
ejpam-3408	167	20	,	,	PUNCT
ejpam-3408	167	21	without	without	ADP
ejpam-3408	167	22	nontrivial	nontrivial	ADJ
ejpam-3408	167	23	fixed	fix	VERB
ejpam-3408	167	24	points	point	NOUN
ejpam-3408	167	25	)	)	PUNCT
ejpam-3408	167	26	automorphism	automorphism	NOUN
ejpam-3408	167	27	of	of	ADP
ejpam-3408	167	28	prime	prime	ADJ
ejpam-3408	167	29	order	order	NOUN
ejpam-3408	167	30	p	p	NOUN
ejpam-3408	167	31	is	be	AUX
ejpam-3408	167	32	nilpotent	nilpotent	ADJ
ejpam-3408	167	33	of	of	ADP
ejpam-3408	167	34	class	class	NOUN
ejpam-3408	167	35	bounded	bound	VERB
ejpam-3408	167	36	by	by	ADP
ejpam-3408	167	37	a	a	DET
ejpam-3408	167	38	function	function	NOUN
ejpam-3408	167	39	h(p	h(p	NOUN
ejpam-3408	167	40	)	)	PUNCT
ejpam-3408	167	41	depending	depend	VERB
ejpam-3408	167	42	only	only	ADV
ejpam-3408	167	43	on	on	ADP
ejpam-3408	167	44	p.	p.	PROPN
ejpam-3408	167	45	kreknin	kreknin	PROPN
ejpam-3408	168	1	[	[	X
ejpam-3408	168	2	149	149	NUM
ejpam-3408	168	3	]	]	PUNCT
ejpam-3408	168	4	in	in	ADP
ejpam-3408	168	5	1967	1967	NUM
ejpam-3408	168	6	projected	project	VERB
ejpam-3408	168	7	that	that	SCONJ
ejpam-3408	168	8	a	a	DET
ejpam-3408	168	9	lie	lie	NOUN
ejpam-3408	168	10	ring	ring	NOUN
ejpam-3408	168	11	(	(	PUNCT
ejpam-3408	168	12	algebra	algebra	PROPN
ejpam-3408	168	13	)	)	PUNCT
ejpam-3408	168	14	admitting	admit	VERB
ejpam-3408	168	15	a	a	DET
ejpam-3408	168	16	regular	regular	ADJ
ejpam-3408	168	17	automorphism	automorphism	NOUN
ejpam-3408	168	18	of	of	ADP
ejpam-3408	168	19	finite	finite	ADJ
ejpam-3408	168	20	order	order	NOUN
ejpam-3408	168	21	n	n	NOUN
ejpam-3408	168	22	is	be	AUX
ejpam-3408	168	23	soluble	soluble	ADJ
ejpam-3408	168	24	of	of	ADP
ejpam-3408	168	25	derived	derived	ADJ
ejpam-3408	168	26	length	length	NOUN
ejpam-3408	168	27	bounded	bound	VERB
ejpam-3408	168	28	by	by	ADP
ejpam-3408	168	29	a	a	DET
ejpam-3408	168	30	function	function	NOUN
ejpam-3408	168	31	of	of	ADP
ejpam-3408	168	32	n.	n.	NOUN
ejpam-3408	168	33	in	in	ADP
ejpam-3408	168	34	1969	1969	NUM
ejpam-3408	168	35	,	,	PUNCT
ejpam-3408	168	36	herstein	herstein	NOUN
ejpam-3408	169	1	[	[	X
ejpam-3408	169	2	91	91	NUM
ejpam-3408	169	3	]	]	PUNCT
ejpam-3408	169	4	focused	focus	VERB
ejpam-3408	169	5	his	his	PRON
ejpam-3408	169	6	study	study	NOUN
ejpam-3408	169	7	on	on	ADP
ejpam-3408	169	8	the	the	DET
ejpam-3408	169	9	structures	structure	NOUN
ejpam-3408	169	10	of	of	ADP
ejpam-3408	169	11	the	the	DET
ejpam-3408	169	12	jordan	jordan	PROPN
ejpam-3408	169	13	and	and	CCONJ
ejpam-3408	169	14	lie	lie	NOUN
ejpam-3408	169	15	rings	ring	NOUN
ejpam-3408	169	16	of	of	ADP
ejpam-3408	169	17	simple	simple	ADJ
ejpam-3408	169	18	associative	associative	ADJ
ejpam-3408	169	19	rings	ring	NOUN
ejpam-3408	169	20	.	.	PUNCT
ejpam-3408	170	1	in	in	ADP
ejpam-3408	170	2	the	the	DET
ejpam-3408	170	3	latter	latter	ADJ
ejpam-3408	170	4	case	case	NOUN
ejpam-3408	170	5	the	the	DET
ejpam-3408	170	6	approach	approach	NOUN
ejpam-3408	170	7	is	be	AUX
ejpam-3408	170	8	via	via	ADP
ejpam-3408	170	9	the	the	DET
ejpam-3408	170	10	study	study	NOUN
ejpam-3408	170	11	of	of	ADP
ejpam-3408	170	12	the	the	DET
ejpam-3408	170	13	structure	structure	NOUN
ejpam-3408	170	14	of	of	ADP
ejpam-3408	170	15	i(r	i(r	PROPN
ejpam-3408	170	16	)	)	PUNCT
ejpam-3408	170	17	,	,	PUNCT
ejpam-3408	170	18	the	the	DET
ejpam-3408	170	19	lie	lie	NOUN
ejpam-3408	170	20	ring	ring	NOUN
ejpam-3408	170	21	of	of	ADP
ejpam-3408	170	22	inner	inner	ADJ
ejpam-3408	170	23	derivations	derivation	NOUN
ejpam-3408	170	24	of	of	ADP
ejpam-3408	170	25	r	r	NOUN
ejpam-3408	170	26	,	,	PUNCT
ejpam-3408	170	27	or	or	CCONJ
ejpam-3408	170	28	,	,	PUNCT
ejpam-3408	170	29	equivalently	equivalently	ADV
ejpam-3408	170	30	,	,	PUNCT
ejpam-3408	170	31	the	the	DET
ejpam-3408	170	32	lie	lie	NOUN
ejpam-3408	170	33	structure	structure	NOUN
ejpam-3408	170	34	of	of	ADP
ejpam-3408	170	35	r	r	PROPN
ejpam-3408	170	36	/	/	SYM
ejpam-3408	170	37	z.	z.	PROPN
ejpam-3408	170	38	in	in	ADP
ejpam-3408	170	39	1970	1970	NUM
ejpam-3408	170	40	,	,	PUNCT
ejpam-3408	170	41	herstein	herstein	NOUN
ejpam-3408	170	42	[	[	X
ejpam-3408	170	43	92	92	NUM
ejpam-3408	170	44	]	]	PUNCT
ejpam-3408	170	45	studied	study	VERB
ejpam-3408	170	46	lie	lie	NOUN
ejpam-3408	170	47	structure	structure	NOUN
ejpam-3408	170	48	of	of	ADP
ejpam-3408	170	49	associative	associative	ADJ
ejpam-3408	170	50	rings	ring	NOUN
ejpam-3408	170	51	and	and	CCONJ
ejpam-3408	170	52	proved	prove	VERB
ejpam-3408	170	53	some	some	DET
ejpam-3408	170	54	important	important	ADJ
ejpam-3408	170	55	results	result	NOUN
ejpam-3408	170	56	regarding	regard	VERB
ejpam-3408	170	57	lie	lie	NOUN
ejpam-3408	170	58	structure	structure	NOUN
ejpam-3408	170	59	of	of	ADP
ejpam-3408	170	60	r	r	PROPN
ejpam-3408	170	61	/	/	SYM
ejpam-3408	170	62	z.	z.	PROPN
ejpam-3408	170	63	in	in	ADP
ejpam-3408	170	64	1972	1972	NUM
ejpam-3408	170	65	,	,	PUNCT
ejpam-3408	170	66	lanski	lanski	NOUN
ejpam-3408	170	67	and	and	CCONJ
ejpam-3408	170	68	montgomery	montgomery	PROPN
ejpam-3408	171	1	[	[	X
ejpam-3408	171	2	157	157	NUM
ejpam-3408	171	3	]	]	PUNCT
ejpam-3408	171	4	studied	study	VERB
ejpam-3408	171	5	lie	lie	NOUN
ejpam-3408	171	6	structure	structure	NOUN
ejpam-3408	171	7	of	of	ADP
ejpam-3408	171	8	prime	prime	ADJ
ejpam-3408	171	9	rings	ring	NOUN
ejpam-3408	171	10	of	of	ADP
ejpam-3408	171	11	characteristic	characteristic	ADJ
ejpam-3408	171	12	2	2	NUM
ejpam-3408	171	13	.	.	PUNCT
ejpam-3408	171	14	results	result	NOUN
ejpam-3408	171	15	on	on	ADP
ejpam-3408	171	16	lie	lie	NOUN
ejpam-3408	171	17	ideals	ideal	NOUN
ejpam-3408	171	18	were	be	AUX
ejpam-3408	171	19	obtained	obtain	VERB
ejpam-3408	171	20	.	.	PUNCT
ejpam-3408	172	1	these	these	DET
ejpam-3408	172	2	results	result	NOUN
ejpam-3408	172	3	were	be	AUX
ejpam-3408	172	4	then	then	ADV
ejpam-3408	172	5	applied	apply	VERB
ejpam-3408	172	6	to	to	ADP
ejpam-3408	172	7	the	the	DET
ejpam-3408	172	8	group	group	NOUN
ejpam-3408	172	9	of	of	ADP
ejpam-3408	172	10	units	unit	NOUN
ejpam-3408	172	11	of	of	ADP
ejpam-3408	172	12	the	the	DET
ejpam-3408	172	13	ring	ring	NOUN
ejpam-3408	172	14	,	,	PUNCT
ejpam-3408	172	15	and	and	CCONJ
ejpam-3408	172	16	also	also	ADV
ejpam-3408	172	17	to	to	PART
ejpam-3408	172	18	lie	lie	VERB
ejpam-3408	172	19	ideals	ideal	NOUN
ejpam-3408	172	20	of	of	ADP
ejpam-3408	172	21	the	the	DET
ejpam-3408	172	22	symmetric	symmetric	ADJ
ejpam-3408	172	23	elements	element	NOUN
ejpam-3408	172	24	when	when	SCONJ
ejpam-3408	172	25	the	the	DET
ejpam-3408	172	26	ring	ring	NOUN
ejpam-3408	172	27	has	have	VERB
ejpam-3408	172	28	an	an	DET
ejpam-3408	172	29	involution	involution	NOUN
ejpam-3408	172	30	.	.	PUNCT
ejpam-3408	173	1	this	this	DET
ejpam-3408	173	2	work	work	NOUN
ejpam-3408	173	3	extends	extend	VERB
ejpam-3408	173	4	recent	recent	ADJ
ejpam-3408	173	5	results	result	NOUN
ejpam-3408	173	6	of	of	ADP
ejpam-3408	173	7	herstein	herstein	NOUN
ejpam-3408	173	8	,	,	PUNCT
ejpam-3408	173	9	lanski	lanski	NOUN
ejpam-3408	173	10	and	and	CCONJ
ejpam-3408	173	11	erickson	erickson	PROPN
ejpam-3408	173	12	on	on	ADP
ejpam-3408	173	13	prime	prime	ADJ
ejpam-3408	173	14	rings	ring	NOUN
ejpam-3408	173	15	whose	whose	DET
ejpam-3408	173	16	characteristic	characteristic	NOUN
ejpam-3408	173	17	is	be	AUX
ejpam-3408	173	18	not	not	PART
ejpam-3408	173	19	2	2	NUM
ejpam-3408	173	20	,	,	PUNCT
ejpam-3408	173	21	and	and	CCONJ
ejpam-3408	173	22	results	result	NOUN
ejpam-3408	173	23	of	of	ADP
ejpam-3408	173	24	s.	s.	PROPN
ejpam-3408	173	25	montgomery	montgomery	PROPN
ejpam-3408	173	26	on	on	ADP
ejpam-3408	173	27	simple	simple	ADJ
ejpam-3408	173	28	rings	ring	NOUN
ejpam-3408	173	29	of	of	ADP
ejpam-3408	173	30	characteristic	characteristic	ADJ
ejpam-3408	173	31	2	2	NUM
ejpam-3408	173	32	.	.	PUNCT
ejpam-3408	174	1	in	in	ADP
ejpam-3408	174	2	1974	1974	NUM
ejpam-3408	174	3	,	,	PUNCT
ejpam-3408	174	4	kawamoto	kawamoto	NOUN
ejpam-3408	174	5	[	[	X
ejpam-3408	174	6	128	128	NUM
ejpam-3408	174	7	]	]	PUNCT
ejpam-3408	174	8	discussed	discuss	VERB
ejpam-3408	174	9	prime	prime	ADJ
ejpam-3408	174	10	and	and	CCONJ
ejpam-3408	174	11	semiprime	semiprime	NOUN
ejpam-3408	174	12	ideals	ideal	NOUN
ejpam-3408	174	13	of	of	ADP
ejpam-3408	174	14	lie	lie	NOUN
ejpam-3408	174	15	rings	ring	NOUN
ejpam-3408	174	16	and	and	CCONJ
ejpam-3408	174	17	showed	show	VERB
ejpam-3408	174	18	that	that	SCONJ
ejpam-3408	174	19	in	in	ADP
ejpam-3408	174	20	a	a	DET
ejpam-3408	174	21	lie	lie	NOUN
ejpam-3408	174	22	algebra	algebra	NOUN
ejpam-3408	174	23	satisfying	satisfy	VERB
ejpam-3408	174	24	the	the	DET
ejpam-3408	174	25	maximal	maximal	ADJ
ejpam-3408	174	26	condition	condition	NOUN
ejpam-3408	174	27	for	for	ADP
ejpam-3408	174	28	ideals	ideal	NOUN
ejpam-3408	174	29	,	,	PUNCT
ejpam-3408	174	30	any	any	DET
ejpam-3408	174	31	semi	semi	ADJ
ejpam-3408	174	32	-	-	ADJ
ejpam-3408	174	33	prime	prime	ADJ
ejpam-3408	174	34	ideal	ideal	NOUN
ejpam-3408	174	35	is	be	AUX
ejpam-3408	174	36	an	an	DET
ejpam-3408	174	37	intersection	intersection	NOUN
ejpam-3408	174	38	of	of	ADP
ejpam-3408	174	39	finite	finite	ADJ
ejpam-3408	174	40	number	number	NOUN
ejpam-3408	174	41	of	of	ADP
ejpam-3408	174	42	prime	prime	ADJ
ejpam-3408	174	43	ideals	ideal	NOUN
ejpam-3408	174	44	and	and	CCONJ
ejpam-3408	174	45	the	the	DET
ejpam-3408	174	46	unique	unique	ADJ
ejpam-3408	174	47	maximal	maximal	ADJ
ejpam-3408	174	48	solvable	solvable	ADJ
ejpam-3408	174	49	ideal	ideal	NOUN
ejpam-3408	174	50	is	be	AUX
ejpam-3408	174	51	equal	equal	ADJ
ejpam-3408	174	52	to	to	ADP
ejpam-3408	174	53	the	the	DET
ejpam-3408	174	54	intersection	intersection	NOUN
ejpam-3408	174	55	of	of	ADP
ejpam-3408	174	56	all	all	DET
ejpam-3408	174	57	prime	prime	ADJ
ejpam-3408	174	58	ideals	ideal	NOUN
ejpam-3408	174	59	.	.	PUNCT
ejpam-3408	175	1	jordan	jordan	PROPN
ejpam-3408	175	2	et	et	PROPN
ejpam-3408	175	3	al.[120	al.[120	X
ejpam-3408	175	4	]	]	PUNCT
ejpam-3408	175	5	in	in	ADP
ejpam-3408	175	6	1978	1978	NUM
ejpam-3408	175	7	,	,	PUNCT
ejpam-3408	175	8	studied	study	VERB
ejpam-3408	175	9	that	that	SCONJ
ejpam-3408	175	10	how	how	SCONJ
ejpam-3408	175	11	the	the	DET
ejpam-3408	175	12	ideal	ideal	ADJ
ejpam-3408	175	13	structure	structure	NOUN
ejpam-3408	175	14	of	of	ADP
ejpam-3408	175	15	the	the	DET
ejpam-3408	175	16	lie	lie	NOUN
ejpam-3408	175	17	ring	ring	NOUN
ejpam-3408	175	18	of	of	ADP
ejpam-3408	175	19	derivations	derivation	NOUN
ejpam-3408	175	20	of	of	ADP
ejpam-3408	175	21	r	r	NOUN
ejpam-3408	175	22	,	,	PUNCT
ejpam-3408	175	23	is	be	AUX
ejpam-3408	175	24	determined	determine	VERB
ejpam-3408	175	25	by	by	ADP
ejpam-3408	175	26	the	the	DET
ejpam-3408	175	27	ideal	ideal	ADJ
ejpam-3408	175	28	structure	structure	NOUN
ejpam-3408	175	29	of	of	ADP
ejpam-3408	175	30	r.	r.	PROPN
ejpam-3408	175	31	moreover	moreover	ADV
ejpam-3408	175	32	,	,	PUNCT
ejpam-3408	175	33	the	the	DET
ejpam-3408	175	34	authors	author	NOUN
ejpam-3408	175	35	were	be	AUX
ejpam-3408	175	36	interested	interested	ADJ
ejpam-3408	175	37	in	in	ADP
ejpam-3408	175	38	extending	extend	VERB
ejpam-3408	175	39	these	these	DET
ejpam-3408	175	40	results	result	NOUN
ejpam-3408	175	41	to	to	ADP
ejpam-3408	175	42	the	the	DET
ejpam-3408	175	43	case	case	NOUN
ejpam-3408	175	44	where	where	SCONJ
ejpam-3408	175	45	r	r	NOUN
ejpam-3408	175	46	is	be	AUX
ejpam-3408	175	47	a	a	DET
ejpam-3408	175	48	prime	prime	ADJ
ejpam-3408	175	49	or	or	CCONJ
ejpam-3408	175	50	semi	semi	ADJ
ejpam-3408	175	51	-	-	ADJ
ejpam-3408	175	52	prime	prime	ADJ
ejpam-3408	175	53	ring	ring	NOUN
ejpam-3408	175	54	.	.	PUNCT
ejpam-3408	176	1	hartley	hartley	PROPN
ejpam-3408	176	2	et	et	PROPN
ejpam-3408	176	3	al	al	PROPN
ejpam-3408	176	4	.	.	PROPN
ejpam-3408	176	5	,	,	PUNCT
ejpam-3408	177	1	[	[	X
ejpam-3408	177	2	79	79	NUM
ejpam-3408	177	3	]	]	PUNCT
ejpam-3408	177	4	,	,	PUNCT
ejpam-3408	177	5	in	in	ADP
ejpam-3408	177	6	1981	1981	NUM
ejpam-3408	177	7	and	and	CCONJ
ejpam-3408	177	8	khukhro	khukhro	NOUN
ejpam-3408	178	1	[	[	X
ejpam-3408	178	2	129	129	NUM
ejpam-3408	178	3	]	]	PUNCT
ejpam-3408	178	4	in	in	ADP
ejpam-3408	178	5	1986	1986	NUM
ejpam-3408	178	6	proposed	propose	VERB
ejpam-3408	178	7	that	that	SCONJ
ejpam-3408	178	8	the	the	DET
ejpam-3408	178	9	results	result	NOUN
ejpam-3408	178	10	on	on	ADP
ejpam-3408	178	11	lie	lie	NOUN
ejpam-3408	178	12	rings	ring	NOUN
ejpam-3408	178	13	with	with	ADP
ejpam-3408	178	14	regular	regular	ADJ
ejpam-3408	178	15	or	or	CCONJ
ejpam-3408	178	16	almost	almost	ADV
ejpam-3408	178	17	regular	regular	ADJ
ejpam-3408	178	18	automorphisms	automorphism	NOUN
ejpam-3408	178	19	of	of	ADP
ejpam-3408	178	20	prime	prime	ADJ
ejpam-3408	178	21	order	order	NOUN
ejpam-3408	178	22	have	have	VERB
ejpam-3408	178	23	consequences	consequence	NOUN
ejpam-3408	178	24	for	for	ADP
ejpam-3408	178	25	nilpotent	nilpotent	ADJ
ejpam-3408	178	26	(	(	PUNCT
ejpam-3408	178	27	or	or	CCONJ
ejpam-3408	178	28	even	even	ADV
ejpam-3408	178	29	finite	finite	ADJ
ejpam-3408	178	30	,	,	PUNCT
ejpam-3408	178	31	or	or	CCONJ
ejpam-3408	178	32	residually	residually	ADV
ejpam-3408	178	33	locally	locally	ADV
ejpam-3408	178	34	nilpotent	nilpotent	ADJ
ejpam-3408	178	35	-	-	PUNCT
ejpam-3408	178	36	by	by	ADP
ejpam-3408	178	37	-	-	PUNCT
ejpam-3408	178	38	finite	finite	NOUN
ejpam-3408	178	39	,	,	PUNCT
ejpam-3408	178	40	etc	etc	X
ejpam-3408	178	41	.	.	X
ejpam-3408	178	42	)	)	PUNCT
ejpam-3408	179	1	groups	group	NOUN
ejpam-3408	179	2	with	with	ADP
ejpam-3408	179	3	such	such	ADJ
ejpam-3408	179	4	automorphisms	automorphism	NOUN
ejpam-3408	179	5	.	.	PUNCT
ejpam-3408	180	1	in	in	ADP
ejpam-3408	180	2	1992	1992	NUM
ejpam-3408	180	3	,	,	PUNCT
ejpam-3408	180	4	khukhro	khukhro	NOUN
ejpam-3408	181	1	[	[	X
ejpam-3408	181	2	130	130	NUM
ejpam-3408	181	3	]	]	PUNCT
ejpam-3408	181	4	has	have	AUX
ejpam-3408	181	5	generalized	generalize	VERB
ejpam-3408	181	6	the	the	DET
ejpam-3408	181	7	work	work	NOUN
ejpam-3408	181	8	of	of	ADP
ejpam-3408	181	9	kreknin	kreknin	PROPN
ejpam-3408	181	10	and	and	CCONJ
ejpam-3408	181	11	kostrikin	kostrikin	X
ejpam-3408	182	1	[	[	X
ejpam-3408	182	2	148	148	NUM
ejpam-3408	182	3	,	,	PUNCT
ejpam-3408	182	4	150	150	NUM
ejpam-3408	182	5	]	]	PUNCT
ejpam-3408	182	6	on	on	ADP
ejpam-3408	182	7	regular	regular	ADJ
ejpam-3408	182	8	automorphisms	automorphism	NOUN
ejpam-3408	182	9	;	;	PUNCT
ejpam-3408	182	10	(	(	PUNCT
ejpam-3408	182	11	almost	almost	ADV
ejpam-3408	182	12	)	)	PUNCT
ejpam-3408	182	13	regularity	regularity	NOUN
ejpam-3408	182	14	of	of	ADP
ejpam-3408	182	15	an	an	DET
ejpam-3408	182	16	automorphism	automorphism	NOUN
ejpam-3408	182	17	of	of	ADP
ejpam-3408	182	18	prime	prime	ADJ
ejpam-3408	182	19	order	order	NOUN
ejpam-3408	182	20	implied	imply	VERB
ejpam-3408	182	21	(	(	PUNCT
ejpam-3408	182	22	almost	almost	ADV
ejpam-3408	182	23	)	)	PUNCT
ejpam-3408	182	24	nilpotency	nilpotency	NOUN
ejpam-3408	182	25	of	of	ADP
ejpam-3408	182	26	the	the	DET
ejpam-3408	182	27	lie	lie	NOUN
ejpam-3408	182	28	ring	ring	NOUN
ejpam-3408	182	29	(	(	PUNCT
ejpam-3408	182	30	algebra	algebra	PROPN
ejpam-3408	182	31	)	)	PUNCT
ejpam-3408	182	32	,	,	PUNCT
ejpam-3408	182	33	with	with	ADP
ejpam-3408	182	34	corresponding	corresponding	ADJ
ejpam-3408	182	35	bounds	bound	NOUN
ejpam-3408	182	36	for	for	ADP
ejpam-3408	182	37	the	the	DET
ejpam-3408	182	38	nilpotency	nilpotency	NOUN
ejpam-3408	182	39	class	class	NOUN
ejpam-3408	182	40	and	and	CCONJ
ejpam-3408	182	41	the	the	DET
ejpam-3408	182	42	index	index	NOUN
ejpam-3408	182	43	(	(	PUNCT
ejpam-3408	182	44	co	co	NOUN
ejpam-3408	182	45	-	-	NOUN
ejpam-3408	182	46	dimension	dimension	NOUN
ejpam-3408	182	47	)	)	PUNCT
ejpam-3408	182	48	.	.	PUNCT
ejpam-3408	183	1	he	he	PRON
ejpam-3408	183	2	also	also	ADV
ejpam-3408	183	3	showed	show	VERB
ejpam-3408	183	4	that	that	SCONJ
ejpam-3408	183	5	a	a	DET
ejpam-3408	183	6	lie	lie	NOUN
ejpam-3408	183	7	ring	ring	NOUN
ejpam-3408	183	8	(	(	PUNCT
ejpam-3408	183	9	algebra	algebra	NOUN
ejpam-3408	183	10	)	)	PUNCT
ejpam-3408	183	11	l	l	NOUN
ejpam-3408	183	12	admitting	admit	VERB
ejpam-3408	183	13	an	an	DET
ejpam-3408	183	14	automorphism	automorphism	NOUN
ejpam-3408	183	15	φ	φ	NOUN
ejpam-3408	183	16	of	of	ADP
ejpam-3408	183	17	prime	prime	ADJ
ejpam-3408	183	18	order	order	NOUN
ejpam-3408	183	19	p	p	NOUN
ejpam-3408	183	20	with	with	ADP
ejpam-3408	183	21	finite	finite	ADJ
ejpam-3408	183	22	fixed	fix	VERB
ejpam-3408	183	23	-	-	PUNCT
ejpam-3408	183	24	point	point	NOUN
ejpam-3408	183	25	sub	sub	NOUN
ejpam-3408	183	26	-	-	NOUN
ejpam-3408	183	27	ring	ring	NOUN
ejpam-3408	183	28	of	of	ADP
ejpam-3408	183	29	order	order	NOUN
ejpam-3408	183	30	m	m	VERB
ejpam-3408	183	31	(	(	PUNCT
ejpam-3408	183	32	with	with	ADP
ejpam-3408	183	33	finite	finite	ADJ
ejpam-3408	183	34	-	-	ADJ
ejpam-3408	183	35	dimensional	dimensional	ADJ
ejpam-3408	183	36	fixedpoint	fixedpoint	NOUN
ejpam-3408	183	37	sub	sub	NOUN
ejpam-3408	183	38	-	-	NOUN
ejpam-3408	183	39	algebra	algebra	NOUN
ejpam-3408	183	40	of	of	ADP
ejpam-3408	183	41	dimension	dimension	NOUN
ejpam-3408	183	42	m	m	PROPN
ejpam-3408	183	43	)	)	PUNCT
ejpam-3408	183	44	has	have	VERB
ejpam-3408	183	45	a	a	DET
ejpam-3408	183	46	nilpotent	nilpotent	ADJ
ejpam-3408	183	47	sub	sub	ADJ
ejpam-3408	183	48	-	-	ADJ
ejpam-3408	183	49	ring	ring	ADJ
ejpam-3408	183	50	(	(	PUNCT
ejpam-3408	183	51	sub	sub	NOUN
ejpam-3408	183	52	-	-	ADJ
ejpam-3408	183	53	algebra	algebra	ADJ
ejpam-3408	183	54	)	)	PUNCT
ejpam-3408	184	1	k	k	PROPN
ejpam-3408	184	2	of	of	ADP
ejpam-3408	184	3	class	class	NOUN
ejpam-3408	184	4	bounded	bound	VERB
ejpam-3408	184	5	by	by	ADP
ejpam-3408	184	6	a	a	DET
ejpam-3408	184	7	function	function	NOUN
ejpam-3408	184	8	of	of	ADP
ejpam-3408	184	9	p	p	NOUN
ejpam-3408	184	10	with	with	ADP
ejpam-3408	184	11	the	the	DET
ejpam-3408	184	12	index	index	NOUN
ejpam-3408	184	13	of	of	ADP
ejpam-3408	184	14	the	the	DET
ejpam-3408	184	15	additive	additive	ADJ
ejpam-3408	184	16	subgroup	subgroup	NOUN
ejpam-3408	184	17	|l	|l	PROPN
ejpam-3408	184	18	:	:	PUNCT
ejpam-3408	184	19	k|	k|	NOUN
ejpam-3408	184	20	(	(	PUNCT
ejpam-3408	184	21	the	the	DET
ejpam-3408	184	22	co	co	NOUN
ejpam-3408	184	23	-	-	NOUN
ejpam-3408	184	24	dimension	dimension	NOUN
ejpam-3408	184	25	of	of	ADP
ejpam-3408	184	26	k	k	NOUN
ejpam-3408	184	27	)	)	PUNCT
ejpam-3408	184	28	bounded	bound	VERB
ejpam-3408	184	29	by	by	ADP
ejpam-3408	184	30	a	a	DET
ejpam-3408	184	31	function	function	NOUN
ejpam-3408	184	32	of	of	ADP
ejpam-3408	184	33	m	m	PROPN
ejpam-3408	184	34	and	and	CCONJ
ejpam-3408	184	35	p.	p.	PROPN
ejpam-3408	184	36	moreover	moreover	ADV
ejpam-3408	185	1	,	,	PUNCT
ejpam-3408	185	2	khukhro	khukhro	PROPN
ejpam-3408	185	3	proved	prove	VERB
ejpam-3408	185	4	that	that	SCONJ
ejpam-3408	185	5	if	if	SCONJ
ejpam-3408	185	6	a	a	DET
ejpam-3408	185	7	periodic	periodic	ADJ
ejpam-3408	185	8	(	(	PUNCT
ejpam-3408	185	9	locally	locally	ADV
ejpam-3408	185	10	)	)	PUNCT
ejpam-3408	185	11	a.	a.	NOUN
ejpam-3408	185	12	razzaque	razzaque	NOUN
ejpam-3408	185	13	et	et	PROPN
ejpam-3408	185	14	al	al	PROPN
ejpam-3408	185	15	.	.	PUNCT
ejpam-3408	185	16	/	/	SYM
ejpam-3408	185	17	eur	eur	PROPN
ejpam-3408	185	18	.	.	PUNCT
ejpam-3408	186	1	j.	j.	PROPN
ejpam-3408	186	2	pure	pure	PROPN
ejpam-3408	186	3	appl	appl	PROPN
ejpam-3408	186	4	.	.	PROPN
ejpam-3408	186	5	math	math	PROPN
ejpam-3408	186	6	,	,	PUNCT
ejpam-3408	186	7	12	12	NUM
ejpam-3408	186	8	(	(	PUNCT
ejpam-3408	186	9	2	2	NUM
ejpam-3408	186	10	)	)	PUNCT
ejpam-3408	186	11	(	(	PUNCT
ejpam-3408	186	12	2019	2019	NUM
ejpam-3408	186	13	)	)	PUNCT
ejpam-3408	186	14	,	,	PUNCT
ejpam-3408	186	15	370	370	NUM
ejpam-3408	186	16	-	-	SYM
ejpam-3408	186	17	408	408	NUM
ejpam-3408	186	18	376	376	NUM
ejpam-3408	186	19	nilpotent	nilpotent	ADJ
ejpam-3408	186	20	group	group	NOUN
ejpam-3408	186	21	g	g	PROPN
ejpam-3408	186	22	admits	admit	VERB
ejpam-3408	186	23	an	an	DET
ejpam-3408	186	24	automorphism	automorphism	NOUN
ejpam-3408	186	25	φ	φ	NOUN
ejpam-3408	186	26	of	of	ADP
ejpam-3408	186	27	prime	prime	ADJ
ejpam-3408	186	28	order	order	NOUN
ejpam-3408	186	29	p	p	NOUN
ejpam-3408	186	30	with	with	ADP
ejpam-3408	186	31	m	m	PROPN
ejpam-3408	186	32	=	=	NOUN
ejpam-3408	186	33	|cg(φ)|	|cg(φ)|	PROPN
ejpam-3408	186	34	fixed	fix	VERB
ejpam-3408	186	35	points	point	NOUN
ejpam-3408	187	1	then	then	ADV
ejpam-3408	187	2	g	g	PROPN
ejpam-3408	187	3	has	have	VERB
ejpam-3408	187	4	a	a	DET
ejpam-3408	187	5	nilpotent	nilpotent	ADJ
ejpam-3408	187	6	subgroup	subgroup	NOUN
ejpam-3408	187	7	of	of	ADP
ejpam-3408	187	8	(	(	PUNCT
ejpam-3408	187	9	m	m	PROPN
ejpam-3408	187	10	,	,	PUNCT
ejpam-3408	187	11	p)bounded	p)bounde	VERB
ejpam-3408	187	12	index	index	NOUN
ejpam-3408	187	13	and	and	CCONJ
ejpam-3408	187	14	of	of	ADP
ejpam-3408	187	15	p	p	NOUN
ejpam-3408	187	16	-	-	PUNCT
ejpam-3408	187	17	bounded	bound	VERB
ejpam-3408	187	18	class	class	NOUN
ejpam-3408	187	19	and	and	CCONJ
ejpam-3408	187	20	on	on	ADP
ejpam-3408	187	21	the	the	DET
ejpam-3408	187	22	way	way	NOUN
ejpam-3408	187	23	this	this	DET
ejpam-3408	187	24	group	group	NOUN
ejpam-3408	187	25	result	result	NOUN
ejpam-3408	187	26	was	be	AUX
ejpam-3408	187	27	also	also	ADV
ejpam-3408	187	28	based	base	VERB
ejpam-3408	187	29	on	on	ADP
ejpam-3408	187	30	a	a	DET
ejpam-3408	187	31	similar	similar	ADJ
ejpam-3408	187	32	theorem	theorem	NOUN
ejpam-3408	187	33	on	on	ADP
ejpam-3408	187	34	lie	lie	NOUN
ejpam-3408	187	35	rings	ring	NOUN
ejpam-3408	187	36	.	.	PUNCT
ejpam-3408	188	1	the	the	DET
ejpam-3408	188	2	result	result	NOUN
ejpam-3408	188	3	given	give	VERB
ejpam-3408	188	4	in	in	ADP
ejpam-3408	188	5	[	[	PUNCT
ejpam-3408	188	6	130	130	NUM
ejpam-3408	188	7	]	]	PUNCT
ejpam-3408	188	8	,	,	PUNCT
ejpam-3408	188	9	was	be	AUX
ejpam-3408	188	10	later	later	ADV
ejpam-3408	188	11	extended	extend	VERB
ejpam-3408	188	12	by	by	ADP
ejpam-3408	188	13	medvedev	medvedev	PROPN
ejpam-3408	188	14	[	[	X
ejpam-3408	188	15	180	180	NUM
ejpam-3408	188	16	]	]	PUNCT
ejpam-3408	188	17	in	in	ADP
ejpam-3408	188	18	1994	1994	NUM
ejpam-3408	188	19	to	to	AUX
ejpam-3408	188	20	not	not	PART
ejpam-3408	188	21	necessarily	necessarily	ADV
ejpam-3408	188	22	periodic	periodic	VERB
ejpam-3408	188	23	locally	locally	ADV
ejpam-3408	188	24	nilpotent	nilpotent	ADJ
ejpam-3408	188	25	groups	group	NOUN
ejpam-3408	188	26	.	.	PUNCT
ejpam-3408	189	1	in	in	ADP
ejpam-3408	189	2	1996	1996	NUM
ejpam-3408	189	3	and	and	CCONJ
ejpam-3408	189	4	in	in	ADP
ejpam-3408	189	5	1998	1998	NUM
ejpam-3408	189	6	,	,	PUNCT
ejpam-3408	189	7	the	the	DET
ejpam-3408	189	8	authors	author	NOUN
ejpam-3408	189	9	[	[	X
ejpam-3408	189	10	169–171	169–171	NUM
ejpam-3408	189	11	]	]	PUNCT
ejpam-3408	189	12	developed	develop	VERB
ejpam-3408	189	13	a	a	DET
ejpam-3408	189	14	method	method	NOUN
ejpam-3408	189	15	of	of	ADP
ejpam-3408	189	16	graded	grade	VERB
ejpam-3408	189	17	centralizers	centralizer	NOUN
ejpam-3408	189	18	given	give	VERB
ejpam-3408	189	19	in	in	ADP
ejpam-3408	189	20	[	[	X
ejpam-3408	189	21	130	130	NUM
ejpam-3408	189	22	]	]	PUNCT
ejpam-3408	189	23	to	to	PART
ejpam-3408	189	24	study	study	VERB
ejpam-3408	189	25	the	the	DET
ejpam-3408	189	26	almost	almost	ADV
ejpam-3408	189	27	fixed	fix	VERB
ejpam-3408	189	28	-	-	PUNCT
ejpam-3408	189	29	point	point	NOUN
ejpam-3408	189	30	-	-	PUNCT
ejpam-3408	189	31	free	free	ADJ
ejpam-3408	189	32	automorphisms	automorphism	NOUN
ejpam-3408	189	33	of	of	ADP
ejpam-3408	189	34	lie	lie	NOUN
ejpam-3408	189	35	rings	ring	NOUN
ejpam-3408	189	36	and	and	CCONJ
ejpam-3408	189	37	nilpotent	nilpotent	ADJ
ejpam-3408	189	38	groups	group	NOUN
ejpam-3408	189	39	.	.	PUNCT
ejpam-3408	190	1	medvedev	medvedev	PROPN
ejpam-3408	191	1	[	[	X
ejpam-3408	191	2	181	181	X
ejpam-3408	191	3	]	]	PUNCT
ejpam-3408	191	4	in	in	ADP
ejpam-3408	191	5	1999	1999	NUM
ejpam-3408	191	6	zapirain	zapirain	NOUN
ejpam-3408	192	1	[	[	X
ejpam-3408	192	2	266	266	NUM
ejpam-3408	192	3	]	]	PUNCT
ejpam-3408	192	4	in	in	ADP
ejpam-3408	192	5	2000	2000	NUM
ejpam-3408	192	6	and	and	CCONJ
ejpam-3408	192	7	makarenko	makarenko	VERB
ejpam-3408	193	1	[	[	X
ejpam-3408	193	2	167	167	NUM
ejpam-3408	193	3	]	]	PUNCT
ejpam-3408	193	4	in	in	ADP
ejpam-3408	193	5	2001	2001	NUM
ejpam-3408	193	6	established	establish	VERB
ejpam-3408	193	7	the	the	DET
ejpam-3408	193	8	most	most	ADV
ejpam-3408	193	9	successful	successful	ADJ
ejpam-3408	193	10	case	case	NOUN
ejpam-3408	193	11	regarding	regard	VERB
ejpam-3408	193	12	the	the	DET
ejpam-3408	193	13	nilpotent	nilpotent	NOUN
ejpam-3408	193	14	(	(	PUNCT
ejpam-3408	193	15	or	or	CCONJ
ejpam-3408	193	16	finite	finite	ADJ
ejpam-3408	193	17	)	)	PUNCT
ejpam-3408	193	18	p	p	NOUN
ejpam-3408	193	19	-	-	PUNCT
ejpam-3408	193	20	groups	group	NOUN
ejpam-3408	193	21	with	with	ADP
ejpam-3408	193	22	an	an	DET
ejpam-3408	193	23	almost	almost	ADV
ejpam-3408	193	24	regular	regular	ADJ
ejpam-3408	193	25	automorphism	automorphism	NOUN
ejpam-3408	193	26	of	of	ADP
ejpam-3408	193	27	order	order	NOUN
ejpam-3408	193	28	pn	pn	NOUN
ejpam-3408	193	29	,	,	PUNCT
ejpam-3408	193	30	where	where	SCONJ
ejpam-3408	193	31	theorems	theorem	NOUN
ejpam-3408	193	32	on	on	ADP
ejpam-3408	193	33	regular	regular	ADJ
ejpam-3408	193	34	automorphisms	automorphism	NOUN
ejpam-3408	193	35	of	of	ADP
ejpam-3408	193	36	lie	lie	NOUN
ejpam-3408	193	37	rings	ring	NOUN
ejpam-3408	193	38	were	be	AUX
ejpam-3408	193	39	used	use	VERB
ejpam-3408	193	40	.	.	PUNCT
ejpam-3408	194	1	great	great	ADJ
ejpam-3408	194	2	progress	progress	NOUN
ejpam-3408	194	3	has	have	AUX
ejpam-3408	194	4	been	be	AUX
ejpam-3408	194	5	made	make	VERB
ejpam-3408	194	6	to	to	ADP
ejpam-3408	194	7	date	date	NOUN
ejpam-3408	194	8	in	in	ADP
ejpam-3408	194	9	lie	lie	NOUN
ejpam-3408	194	10	rings	ring	NOUN
ejpam-3408	194	11	(	(	PUNCT
ejpam-3408	194	12	algebras	algebras	X
ejpam-3408	194	13	)	)	PUNCT
ejpam-3408	194	14	with	with	ADP
ejpam-3408	194	15	almost	almost	ADV
ejpam-3408	194	16	regular	regular	ADJ
ejpam-3408	194	17	automorphisms	automorphism	NOUN
ejpam-3408	194	18	.	.	PUNCT
ejpam-3408	195	1	the	the	DET
ejpam-3408	195	2	history	history	NOUN
ejpam-3408	195	3	of	of	ADP
ejpam-3408	195	4	this	this	DET
ejpam-3408	195	5	area	area	NOUN
ejpam-3408	195	6	of	of	ADP
ejpam-3408	195	7	research	research	NOUN
ejpam-3408	195	8	started	start	VERB
ejpam-3408	195	9	with	with	ADP
ejpam-3408	195	10	the	the	DET
ejpam-3408	195	11	classical	classical	ADJ
ejpam-3408	195	12	theorem	theorem	NOUN
ejpam-3408	195	13	of	of	ADP
ejpam-3408	195	14	kreknin	kreknin	PROPN
ejpam-3408	195	15	.	.	PUNCT
ejpam-3408	196	1	in	in	ADP
ejpam-3408	196	2	2003	2003	NUM
ejpam-3408	196	3	,	,	PUNCT
ejpam-3408	196	4	khukhro	khukhro	NOUN
ejpam-3408	196	5	and	and	CCONJ
ejpam-3408	196	6	makarenko	makarenko	VERB
ejpam-3408	196	7	[	[	X
ejpam-3408	196	8	131	131	NUM
ejpam-3408	196	9	]	]	PUNCT
ejpam-3408	196	10	proved	prove	VERB
ejpam-3408	196	11	that	that	SCONJ
ejpam-3408	196	12	if	if	SCONJ
ejpam-3408	196	13	a	a	DET
ejpam-3408	196	14	lie	lie	NOUN
ejpam-3408	196	15	ring	ring	NOUN
ejpam-3408	196	16	admits	admit	VERB
ejpam-3408	196	17	an	an	DET
ejpam-3408	196	18	automorphism	automorphism	NOUN
ejpam-3408	196	19	of	of	ADP
ejpam-3408	196	20	prime	prime	ADJ
ejpam-3408	196	21	-	-	PUNCT
ejpam-3408	196	22	power	power	NOUN
ejpam-3408	196	23	order	order	NOUN
ejpam-3408	196	24	that	that	PRON
ejpam-3408	196	25	is	be	AUX
ejpam-3408	196	26	almost	almost	ADV
ejpam-3408	196	27	regular	regular	ADJ
ejpam-3408	196	28	then	then	ADV
ejpam-3408	196	29	l	l	NOUN
ejpam-3408	196	30	is	be	AUX
ejpam-3408	196	31	almost	almost	ADV
ejpam-3408	196	32	soluble	soluble	ADJ
ejpam-3408	196	33	.	.	PUNCT
ejpam-3408	197	1	moreover	moreover	ADV
ejpam-3408	197	2	,	,	PUNCT
ejpam-3408	197	3	in	in	ADP
ejpam-3408	197	4	2003	2003	NUM
ejpam-3408	197	5	and	and	CCONJ
ejpam-3408	197	6	in	in	ADP
ejpam-3408	197	7	2004	2004	NUM
ejpam-3408	197	8	makarenko	makarenko	NOUN
ejpam-3408	197	9	and	and	CCONJ
ejpam-3408	197	10	khukhro	khukhro	NOUN
ejpam-3408	197	11	[	[	X
ejpam-3408	197	12	172	172	NUM
ejpam-3408	197	13	,	,	PUNCT
ejpam-3408	197	14	173	173	NUM
ejpam-3408	197	15	]	]	PUNCT
ejpam-3408	197	16	,	,	PUNCT
ejpam-3408	197	17	have	have	AUX
ejpam-3408	197	18	succeeded	succeed	VERB
ejpam-3408	197	19	in	in	ADP
ejpam-3408	197	20	investigating	investigate	VERB
ejpam-3408	197	21	the	the	DET
ejpam-3408	197	22	most	most	ADV
ejpam-3408	197	23	general	general	ADJ
ejpam-3408	197	24	case	case	NOUN
ejpam-3408	197	25	of	of	ADP
ejpam-3408	197	26	a	a	DET
ejpam-3408	197	27	lie	lie	NOUN
ejpam-3408	197	28	ring	ring	NOUN
ejpam-3408	197	29	(	(	PUNCT
ejpam-3408	197	30	algebra	algebra	PROPN
ejpam-3408	197	31	)	)	PUNCT
ejpam-3408	197	32	with	with	ADP
ejpam-3408	197	33	almost	almost	ADV
ejpam-3408	197	34	regular	regular	ADJ
ejpam-3408	197	35	automorphism	automorphism	NOUN
ejpam-3408	197	36	of	of	ADP
ejpam-3408	197	37	arbitrary	arbitrary	ADJ
ejpam-3408	197	38	finite	finite	ADJ
ejpam-3408	197	39	order	order	NOUN
ejpam-3408	197	40	.	.	PUNCT
ejpam-3408	198	1	makarenko	makarenko	NOUN
ejpam-3408	198	2	and	and	CCONJ
ejpam-3408	198	3	khukhro	khukhro	NOUN
ejpam-3408	199	1	[	[	X
ejpam-3408	199	2	173	173	NUM
ejpam-3408	199	3	]	]	X
ejpam-3408	199	4	in	in	ADP
ejpam-3408	199	5	2004	2004	NUM
ejpam-3408	199	6	analyzed	analyze	VERB
ejpam-3408	199	7	that	that	SCONJ
ejpam-3408	199	8	almost	almost	ADV
ejpam-3408	199	9	solubility	solubility	NOUN
ejpam-3408	199	10	of	of	ADP
ejpam-3408	199	11	lie	lie	NOUN
ejpam-3408	199	12	rings	ring	NOUN
ejpam-3408	199	13	and	and	CCONJ
ejpam-3408	199	14	algebras	algebra	NOUN
ejpam-3408	199	15	admitting	admit	VERB
ejpam-3408	199	16	an	an	DET
ejpam-3408	199	17	almost	almost	ADV
ejpam-3408	199	18	regular	regular	ADJ
ejpam-3408	199	19	automorphism	automorphism	NOUN
ejpam-3408	199	20	of	of	ADP
ejpam-3408	199	21	finite	finite	ADJ
ejpam-3408	199	22	order	order	NOUN
ejpam-3408	199	23	,	,	PUNCT
ejpam-3408	199	24	with	with	ADP
ejpam-3408	199	25	bounds	bound	NOUN
ejpam-3408	199	26	for	for	ADP
ejpam-3408	199	27	the	the	DET
ejpam-3408	199	28	derived	derive	VERB
ejpam-3408	199	29	length	length	NOUN
ejpam-3408	199	30	and	and	CCONJ
ejpam-3408	199	31	co	co	NOUN
ejpam-3408	199	32	-	-	NOUN
ejpam-3408	199	33	dimension	dimension	NOUN
ejpam-3408	199	34	of	of	ADP
ejpam-3408	199	35	a	a	DET
ejpam-3408	199	36	soluble	soluble	ADJ
ejpam-3408	199	37	sub	sub	NOUN
ejpam-3408	199	38	-	-	NOUN
ejpam-3408	199	39	algebra	algebra	ADJ
ejpam-3408	199	40	,	,	PUNCT
ejpam-3408	199	41	but	but	CCONJ
ejpam-3408	199	42	for	for	ADP
ejpam-3408	199	43	groups	group	NOUN
ejpam-3408	199	44	even	even	ADV
ejpam-3408	199	45	the	the	DET
ejpam-3408	199	46	fixed	fix	VERB
ejpam-3408	199	47	-	-	PUNCT
ejpam-3408	199	48	point	point	NOUN
ejpam-3408	199	49	-	-	PUNCT
ejpam-3408	199	50	free	free	ADJ
ejpam-3408	199	51	case	case	NOUN
ejpam-3408	199	52	remains	remain	VERB
ejpam-3408	199	53	open	open	ADJ
ejpam-3408	199	54	.	.	PUNCT
ejpam-3408	200	1	in	in	ADP
ejpam-3408	200	2	2005	2005	NUM
ejpam-3408	200	3	,	,	PUNCT
ejpam-3408	200	4	kuzucuoglu	kuzucuoglu	PROPN
ejpam-3408	200	5	[	[	X
ejpam-3408	200	6	153	153	NUM
ejpam-3408	200	7	]	]	PUNCT
ejpam-3408	200	8	proved	prove	VERB
ejpam-3408	200	9	isomorphisms	isomorphism	NOUN
ejpam-3408	200	10	between	between	ADP
ejpam-3408	200	11	finitary	finitary	ADJ
ejpam-3408	200	12	unitriangular	unitriangular	ADJ
ejpam-3408	200	13	groups	group	NOUN
ejpam-3408	200	14	and	and	CCONJ
ejpam-3408	200	15	those	those	PRON
ejpam-3408	200	16	of	of	ADP
ejpam-3408	200	17	associated	associated	ADJ
ejpam-3408	200	18	lie	lie	NOUN
ejpam-3408	200	19	rings	ring	NOUN
ejpam-3408	200	20	are	be	AUX
ejpam-3408	200	21	studied	study	VERB
ejpam-3408	200	22	.	.	PUNCT
ejpam-3408	201	1	the	the	DET
ejpam-3408	201	2	author	author	NOUN
ejpam-3408	201	3	also	also	ADV
ejpam-3408	201	4	investigated	investigate	VERB
ejpam-3408	201	5	its	its	PRON
ejpam-3408	201	6	exceptional	exceptional	ADJ
ejpam-3408	201	7	cases	case	NOUN
ejpam-3408	201	8	.	.	PUNCT
ejpam-3408	202	1	makarenko	makarenko	PROPN
ejpam-3408	203	1	[	[	X
ejpam-3408	203	2	168	168	NUM
ejpam-3408	203	3	]	]	PUNCT
ejpam-3408	203	4	in	in	ADP
ejpam-3408	203	5	2005	2005	NUM
ejpam-3408	203	6	,	,	PUNCT
ejpam-3408	203	7	improved	improve	VERB
ejpam-3408	203	8	the	the	DET
ejpam-3408	203	9	conclusion	conclusion	NOUN
ejpam-3408	203	10	in	in	ADP
ejpam-3408	203	11	khukhro	khukhro	PROPN
ejpam-3408	203	12	’s	’s	PART
ejpam-3408	203	13	theorem	theorem	NOUN
ejpam-3408	203	14	stating	state	VERB
ejpam-3408	203	15	that	that	SCONJ
ejpam-3408	203	16	a	a	DET
ejpam-3408	203	17	lie	lie	NOUN
ejpam-3408	203	18	ring	ring	NOUN
ejpam-3408	203	19	(	(	PUNCT
ejpam-3408	203	20	algebra	algebra	NOUN
ejpam-3408	203	21	)	)	PUNCT
ejpam-3408	203	22	l	l	NOUN
ejpam-3408	203	23	admitting	admit	VERB
ejpam-3408	203	24	an	an	DET
ejpam-3408	203	25	automorphism	automorphism	NOUN
ejpam-3408	203	26	of	of	ADP
ejpam-3408	203	27	prime	prime	ADJ
ejpam-3408	203	28	order	order	NOUN
ejpam-3408	203	29	p	p	NOUN
ejpam-3408	203	30	with	with	ADP
ejpam-3408	203	31	finitely	finitely	ADV
ejpam-3408	203	32	many	many	ADJ
ejpam-3408	203	33	m	m	VERB
ejpam-3408	203	34	fixed	fix	VERB
ejpam-3408	203	35	points	point	NOUN
ejpam-3408	203	36	(	(	PUNCT
ejpam-3408	203	37	with	with	ADP
ejpam-3408	203	38	finite	finite	ADJ
ejpam-3408	203	39	-	-	ADJ
ejpam-3408	203	40	dimensional	dimensional	ADJ
ejpam-3408	203	41	fixed	fix	VERB
ejpam-3408	203	42	-	-	PUNCT
ejpam-3408	203	43	point	point	NOUN
ejpam-3408	203	44	sub	sub	NOUN
ejpam-3408	203	45	-	-	NOUN
ejpam-3408	203	46	algebra	algebra	NOUN
ejpam-3408	203	47	of	of	ADP
ejpam-3408	203	48	dimension	dimension	NOUN
ejpam-3408	203	49	m	m	PROPN
ejpam-3408	203	50	)	)	PUNCT
ejpam-3408	203	51	has	have	VERB
ejpam-3408	203	52	a	a	DET
ejpam-3408	203	53	sub	sub	NOUN
ejpam-3408	203	54	-	-	NOUN
ejpam-3408	203	55	ring	ring	ADJ
ejpam-3408	203	56	(	(	PUNCT
ejpam-3408	203	57	sub	sub	NOUN
ejpam-3408	203	58	-	-	ADJ
ejpam-3408	203	59	algebra	algebra	ADJ
ejpam-3408	203	60	)	)	PUNCT
ejpam-3408	203	61	h	h	NOUN
ejpam-3408	203	62	of	of	ADP
ejpam-3408	203	63	nilpotency	nilpotency	NOUN
ejpam-3408	203	64	class	class	NOUN
ejpam-3408	203	65	bounded	bound	VERB
ejpam-3408	203	66	by	by	ADP
ejpam-3408	203	67	a	a	DET
ejpam-3408	203	68	function	function	NOUN
ejpam-3408	203	69	of	of	ADP
ejpam-3408	203	70	p	p	NOUN
ejpam-3408	203	71	such	such	ADJ
ejpam-3408	203	72	that	that	SCONJ
ejpam-3408	203	73	the	the	DET
ejpam-3408	203	74	index	index	NOUN
ejpam-3408	203	75	of	of	ADP
ejpam-3408	203	76	the	the	DET
ejpam-3408	203	77	additive	additive	ADJ
ejpam-3408	203	78	subgroup	subgroup	NOUN
ejpam-3408	203	79	|l	|l	PROPN
ejpam-3408	203	80	:	:	PUNCT
ejpam-3408	203	81	h|	h|	PROPN
ejpam-3408	203	82	(	(	PUNCT
ejpam-3408	203	83	the	the	DET
ejpam-3408	203	84	co	co	NOUN
ejpam-3408	203	85	-	-	NOUN
ejpam-3408	203	86	dimension	dimension	NOUN
ejpam-3408	203	87	of	of	ADP
ejpam-3408	203	88	h	h	NOUN
ejpam-3408	203	89	)	)	PUNCT
ejpam-3408	203	90	is	be	AUX
ejpam-3408	203	91	bounded	bound	VERB
ejpam-3408	203	92	by	by	ADP
ejpam-3408	203	93	a	a	DET
ejpam-3408	203	94	function	function	NOUN
ejpam-3408	203	95	of	of	ADP
ejpam-3408	203	96	m	m	PROPN
ejpam-3408	203	97	and	and	CCONJ
ejpam-3408	203	98	p.	p.	NOUN
ejpam-3408	203	99	he	he	PRON
ejpam-3408	203	100	proved	prove	VERB
ejpam-3408	203	101	that	that	SCONJ
ejpam-3408	203	102	there	there	PRON
ejpam-3408	203	103	exists	exist	VERB
ejpam-3408	203	104	an	an	DET
ejpam-3408	203	105	ideal	ideal	NOUN
ejpam-3408	203	106	,	,	PUNCT
ejpam-3408	203	107	rather	rather	ADV
ejpam-3408	203	108	than	than	ADP
ejpam-3408	203	109	merely	merely	ADV
ejpam-3408	203	110	a	a	DET
ejpam-3408	203	111	sub	sub	NOUN
ejpam-3408	203	112	-	-	NOUN
ejpam-3408	203	113	ring	ring	ADJ
ejpam-3408	203	114	(	(	PUNCT
ejpam-3408	203	115	sub	sub	NOUN
ejpam-3408	203	116	-	-	NOUN
ejpam-3408	203	117	algebra	algebra	ADJ
ejpam-3408	203	118	)	)	PUNCT
ejpam-3408	203	119	,	,	PUNCT
ejpam-3408	203	120	of	of	ADP
ejpam-3408	203	121	nilpotency	nilpotency	NOUN
ejpam-3408	203	122	class	class	NOUN
ejpam-3408	203	123	bounded	bound	VERB
ejpam-3408	203	124	in	in	ADP
ejpam-3408	203	125	terms	term	NOUN
ejpam-3408	203	126	of	of	ADP
ejpam-3408	203	127	p	p	NOUN
ejpam-3408	203	128	and	and	CCONJ
ejpam-3408	203	129	of	of	ADP
ejpam-3408	203	130	index	index	NOUN
ejpam-3408	203	131	(	(	PUNCT
ejpam-3408	203	132	co	co	NOUN
ejpam-3408	203	133	-	-	NOUN
ejpam-3408	203	134	dimension	dimension	NOUN
ejpam-3408	203	135	)	)	PUNCT
ejpam-3408	203	136	bounded	bound	VERB
ejpam-3408	203	137	in	in	ADP
ejpam-3408	203	138	terms	term	NOUN
ejpam-3408	203	139	of	of	ADP
ejpam-3408	203	140	m	m	PRON
ejpam-3408	203	141	and	and	CCONJ
ejpam-3408	203	142	p.	p.	NOUN
ejpam-3408	203	143	in	in	ADP
ejpam-3408	203	144	2008	2008	NUM
ejpam-3408	203	145	,	,	PUNCT
ejpam-3408	203	146	suanmali	suanmali	VERB
ejpam-3408	204	1	[	[	X
ejpam-3408	204	2	243	243	NUM
ejpam-3408	204	3	]	]	PUNCT
ejpam-3408	204	4	used	use	VERB
ejpam-3408	204	5	an	an	DET
ejpam-3408	204	6	analogous	analogous	ADJ
ejpam-3408	204	7	idea	idea	NOUN
ejpam-3408	204	8	in	in	ADP
ejpam-3408	204	9	the	the	DET
ejpam-3408	204	10	theory	theory	NOUN
ejpam-3408	204	11	of	of	ADP
ejpam-3408	204	12	group	group	NOUN
ejpam-3408	204	13	varieties	variety	NOUN
ejpam-3408	204	14	to	to	PART
ejpam-3408	204	15	investigate	investigate	VERB
ejpam-3408	204	16	the	the	DET
ejpam-3408	204	17	varieties	variety	NOUN
ejpam-3408	204	18	of	of	ADP
ejpam-3408	204	19	lie	lie	NOUN
ejpam-3408	204	20	algebras	algebra	NOUN
ejpam-3408	204	21	.	.	PUNCT
ejpam-3408	205	1	she	she	PRON
ejpam-3408	205	2	considered	consider	VERB
ejpam-3408	205	3	the	the	DET
ejpam-3408	205	4	exponent	exponent	NOUN
ejpam-3408	205	5	bound	bind	VERB
ejpam-3408	205	6	problem	problem	NOUN
ejpam-3408	205	7	for	for	ADP
ejpam-3408	205	8	some	some	DET
ejpam-3408	205	9	varieties	variety	NOUN
ejpam-3408	205	10	of	of	ADP
ejpam-3408	205	11	nilpotent	nilpotent	ADJ
ejpam-3408	205	12	lie	lie	NOUN
ejpam-3408	205	13	algebras	algebra	NOUN
ejpam-3408	205	14	and	and	CCONJ
ejpam-3408	205	15	extended	extend	VERB
ejpam-3408	205	16	[	[	X
ejpam-3408	205	17	164	164	NUM
ejpam-3408	205	18	,	,	PUNCT
ejpam-3408	205	19	165	165	NUM
ejpam-3408	205	20	]	]	X
ejpam-3408	205	21	macdonald	macdonald	PROPN
ejpam-3408	205	22	’s	’s	PART
ejpam-3408	205	23	results	result	NOUN
ejpam-3408	205	24	to	to	ADP
ejpam-3408	205	25	finite	finite	VERB
ejpam-3408	205	26	-	-	ADJ
ejpam-3408	205	27	dimensional	dimensional	ADJ
ejpam-3408	205	28	lie	lie	NOUN
ejpam-3408	205	29	algebras	algebra	NOUN
ejpam-3408	205	30	over	over	ADP
ejpam-3408	205	31	a	a	DET
ejpam-3408	205	32	field	field	NOUN
ejpam-3408	205	33	of	of	ADP
ejpam-3408	205	34	characteristic	characteristic	ADJ
ejpam-3408	205	35	not	not	PART
ejpam-3408	205	36	2	2	NUM
ejpam-3408	205	37	and	and	CCONJ
ejpam-3408	205	38	3	3	NUM
ejpam-3408	205	39	.	.	X
ejpam-3408	206	1	paul	paul	PROPN
ejpam-3408	206	2	and	and	CCONJ
ejpam-3408	206	3	sabur	sabur	PROPN
ejpam-3408	206	4	uddin	uddin	PROPN
ejpam-3408	206	5	[	[	X
ejpam-3408	206	6	194	194	NUM
ejpam-3408	206	7	]	]	PUNCT
ejpam-3408	206	8	in	in	ADP
ejpam-3408	206	9	2010	2010	NUM
ejpam-3408	206	10	worked	work	VERB
ejpam-3408	206	11	on	on	ADP
ejpam-3408	206	12	lie	lie	NOUN
ejpam-3408	206	13	and	and	CCONJ
ejpam-3408	206	14	jordan	jordan	PROPN
ejpam-3408	206	15	structure	structure	NOUN
ejpam-3408	206	16	in	in	ADP
ejpam-3408	206	17	simple	simple	ADJ
ejpam-3408	206	18	gamma	gamma	NOUN
ejpam-3408	206	19	rings	ring	NOUN
ejpam-3408	206	20	.	.	PUNCT
ejpam-3408	207	1	they	they	PRON
ejpam-3408	207	2	obtained	obtain	VERB
ejpam-3408	207	3	some	some	DET
ejpam-3408	207	4	remarkable	remarkable	ADJ
ejpam-3408	207	5	results	result	NOUN
ejpam-3408	207	6	concerning	concern	VERB
ejpam-3408	207	7	to	to	PART
ejpam-3408	207	8	lie	lie	VERB
ejpam-3408	207	9	and	and	CCONJ
ejpam-3408	207	10	jordan	jordan	PROPN
ejpam-3408	207	11	structure	structure	PROPN
ejpam-3408	207	12	.	.	PUNCT
ejpam-3408	208	1	in	in	ADP
ejpam-3408	208	2	2010	2010	NUM
ejpam-3408	208	3	,	,	PUNCT
ejpam-3408	208	4	paul	paul	PROPN
ejpam-3408	208	5	and	and	CCONJ
ejpam-3408	208	6	sabur	sabur	PROPN
ejpam-3408	208	7	uddin	uddin	PROPN
ejpam-3408	208	8	[	[	X
ejpam-3408	208	9	195	195	NUM
ejpam-3408	208	10	]	]	PUNCT
ejpam-3408	208	11	focused	focus	VERB
ejpam-3408	208	12	their	their	PRON
ejpam-3408	208	13	discussion	discussion	NOUN
ejpam-3408	208	14	to	to	ADP
ejpam-3408	208	15	the	the	DET
ejpam-3408	208	16	study	study	NOUN
ejpam-3408	208	17	lie	lie	NOUN
ejpam-3408	208	18	structure	structure	NOUN
ejpam-3408	208	19	in	in	ADP
ejpam-3408	208	20	simple	simple	ADJ
ejpam-3408	208	21	gamma	gamma	NOUN
ejpam-3408	208	22	rings	ring	NOUN
ejpam-3408	208	23	.	.	PUNCT
ejpam-3408	209	1	they	they	PRON
ejpam-3408	209	2	gave	give	VERB
ejpam-3408	209	3	us	we	PRON
ejpam-3408	209	4	some	some	DET
ejpam-3408	209	5	structural	structural	ADJ
ejpam-3408	209	6	results	result	NOUN
ejpam-3408	209	7	of	of	ADP
ejpam-3408	209	8	simple	simple	ADJ
ejpam-3408	209	9	gamma	gamma	NOUN
ejpam-3408	209	10	rings	ring	NOUN
ejpam-3408	209	11	with	with	ADP
ejpam-3408	209	12	lie	lie	NOUN
ejpam-3408	209	13	ideals	ideal	NOUN
ejpam-3408	209	14	.	.	PUNCT
ejpam-3408	210	1	in	in	ADP
ejpam-3408	210	2	2011	2011	NUM
ejpam-3408	210	3	,	,	PUNCT
ejpam-3408	210	4	khukhro	khukhro	NOUN
ejpam-3408	210	5	,	,	PUNCT
ejpam-3408	210	6	makarenko	makarenko	NOUN
ejpam-3408	210	7	and	and	CCONJ
ejpam-3408	210	8	shumyatsky	shumyatsky	ADJ
ejpam-3408	210	9	[	[	X
ejpam-3408	210	10	45	45	NUM
ejpam-3408	210	11	]	]	PUNCT
ejpam-3408	210	12	developed	develop	VERB
ejpam-3408	210	13	a	a	DET
ejpam-3408	210	14	lie	lie	NOUN
ejpam-3408	210	15	ring	ring	NOUN
ejpam-3408	210	16	theory	theory	NOUN
ejpam-3408	210	17	which	which	PRON
ejpam-3408	210	18	is	be	AUX
ejpam-3408	210	19	used	use	VERB
ejpam-3408	210	20	for	for	ADP
ejpam-3408	210	21	studying	study	VERB
ejpam-3408	210	22	groups	group	NOUN
ejpam-3408	210	23	g	g	NOUN
ejpam-3408	210	24	and	and	CCONJ
ejpam-3408	210	25	lie	lie	VERB
ejpam-3408	210	26	rings	ring	NOUN
ejpam-3408	210	27	l	l	PROPN
ejpam-3408	210	28	with	with	ADP
ejpam-3408	210	29	a	a	DET
ejpam-3408	210	30	metacyclic	metacyclic	ADJ
ejpam-3408	210	31	frobenius	frobenius	NOUN
ejpam-3408	210	32	group	group	NOUN
ejpam-3408	210	33	of	of	ADP
ejpam-3408	210	34	automorphisms	automorphisms	PROPN
ejpam-3408	210	35	fh	fh	PROPN
ejpam-3408	210	36	.	.	PUNCT
ejpam-3408	210	37	wilson	wilson	PROPN
ejpam-3408	211	1	[	[	X
ejpam-3408	211	2	258	258	NUM
ejpam-3408	211	3	]	]	PUNCT
ejpam-3408	211	4	in	in	ADP
ejpam-3408	211	5	2013	2013	NUM
ejpam-3408	211	6	introduced	introduce	VERB
ejpam-3408	211	7	three	three	NUM
ejpam-3408	211	8	families	family	NOUN
ejpam-3408	211	9	of	of	ADP
ejpam-3408	211	10	characteristic	characteristic	ADJ
ejpam-3408	211	11	subgroups	subgroup	NOUN
ejpam-3408	211	12	that	that	PRON
ejpam-3408	211	13	refined	refine	VERB
ejpam-3408	211	14	the	the	DET
ejpam-3408	211	15	traditional	traditional	ADJ
ejpam-3408	211	16	verbal	verbal	ADJ
ejpam-3408	211	17	subgroup	subgroup	NOUN
ejpam-3408	211	18	filters	filter	NOUN
ejpam-3408	211	19	,	,	PUNCT
ejpam-3408	211	20	such	such	ADJ
ejpam-3408	211	21	as	as	ADP
ejpam-3408	211	22	the	the	DET
ejpam-3408	211	23	lower	low	ADJ
ejpam-3408	211	24	central	central	ADJ
ejpam-3408	211	25	series	series	NOUN
ejpam-3408	211	26	,	,	PUNCT
ejpam-3408	211	27	to	to	ADP
ejpam-3408	211	28	an	an	DET
ejpam-3408	211	29	arbitrary	arbitrary	ADJ
ejpam-3408	211	30	length	length	NOUN
ejpam-3408	211	31	.	.	PUNCT
ejpam-3408	212	1	it	it	PRON
ejpam-3408	212	2	was	be	AUX
ejpam-3408	212	3	proved	prove	VERB
ejpam-3408	212	4	that	that	SCONJ
ejpam-3408	212	5	a	a	DET
ejpam-3408	212	6	positive	positive	ADJ
ejpam-3408	212	7	logarithmic	logarithmic	ADJ
ejpam-3408	212	8	proportion	proportion	NOUN
ejpam-3408	212	9	of	of	ADP
ejpam-3408	212	10	finite	finite	ADJ
ejpam-3408	212	11	p	p	NOUN
ejpam-3408	212	12	-	-	PUNCT
ejpam-3408	212	13	groups	group	NOUN
ejpam-3408	212	14	admit	admit	VERB
ejpam-3408	212	15	at	at	ADP
ejpam-3408	212	16	least	least	ADJ
ejpam-3408	212	17	five	five	NUM
ejpam-3408	212	18	such	such	ADJ
ejpam-3408	212	19	proper	proper	ADJ
ejpam-3408	212	20	nontrivial	nontrivial	ADJ
ejpam-3408	212	21	characteristic	characteristic	ADJ
ejpam-3408	212	22	subgroups	subgroup	NOUN
ejpam-3408	212	23	whereas	whereas	SCONJ
ejpam-3408	212	24	verbal	verbal	ADJ
ejpam-3408	212	25	and	and	CCONJ
ejpam-3408	212	26	marginal	marginal	ADJ
ejpam-3408	212	27	methods	method	NOUN
ejpam-3408	212	28	explained	explain	VERB
ejpam-3408	212	29	only	only	ADV
ejpam-3408	212	30	one	one	NUM
ejpam-3408	212	31	.	.	PUNCT
ejpam-3408	213	1	the	the	DET
ejpam-3408	213	2	placement	placement	NOUN
ejpam-3408	213	3	of	of	ADP
ejpam-3408	213	4	these	these	DET
ejpam-3408	213	5	subgroups	subgroup	NOUN
ejpam-3408	213	6	in	in	ADP
ejpam-3408	213	7	the	the	DET
ejpam-3408	213	8	lattice	lattice	NOUN
ejpam-3408	213	9	of	of	ADP
ejpam-3408	213	10	subgroups	subgroup	NOUN
ejpam-3408	213	11	is	be	AUX
ejpam-3408	213	12	naturally	naturally	ADV
ejpam-3408	213	13	recorded	record	VERB
ejpam-3408	213	14	by	by	ADP
ejpam-3408	213	15	a.	a.	NOUN
ejpam-3408	213	16	razzaque	razzaque	PROPN
ejpam-3408	213	17	et	et	PROPN
ejpam-3408	213	18	al	al	PROPN
ejpam-3408	213	19	.	.	PUNCT
ejpam-3408	213	20	/	/	SYM
ejpam-3408	213	21	eur	eur	PROPN
ejpam-3408	213	22	.	.	PUNCT
ejpam-3408	214	1	j.	j.	PROPN
ejpam-3408	214	2	pure	pure	PROPN
ejpam-3408	214	3	appl	appl	PROPN
ejpam-3408	214	4	.	.	PROPN
ejpam-3408	214	5	math	math	PROPN
ejpam-3408	214	6	,	,	PUNCT
ejpam-3408	214	7	12	12	NUM
ejpam-3408	214	8	(	(	PUNCT
ejpam-3408	214	9	2	2	NUM
ejpam-3408	214	10	)	)	PUNCT
ejpam-3408	214	11	(	(	PUNCT
ejpam-3408	214	12	2019	2019	NUM
ejpam-3408	214	13	)	)	PUNCT
ejpam-3408	214	14	,	,	PUNCT
ejpam-3408	214	15	370	370	NUM
ejpam-3408	214	16	-	-	SYM
ejpam-3408	214	17	408	408	NUM
ejpam-3408	214	18	377	377	NUM
ejpam-3408	214	19	a	a	DET
ejpam-3408	214	20	filter	filter	NOUN
ejpam-3408	214	21	over	over	ADP
ejpam-3408	214	22	an	an	DET
ejpam-3408	214	23	arbitrary	arbitrary	ADJ
ejpam-3408	214	24	commutative	commutative	ADJ
ejpam-3408	214	25	monoid	monoid	NOUN
ejpam-3408	214	26	m	m	NOUN
ejpam-3408	214	27	and	and	CCONJ
ejpam-3408	214	28	induces	induce	VERB
ejpam-3408	214	29	an	an	DET
ejpam-3408	214	30	m	m	ADV
ejpam-3408	214	31	-graded	-graded	ADJ
ejpam-3408	214	32	lie	lie	NOUN
ejpam-3408	214	33	ring	ring	NOUN
ejpam-3408	214	34	.	.	PUNCT
ejpam-3408	215	1	these	these	DET
ejpam-3408	215	2	lie	lie	NOUN
ejpam-3408	215	3	rings	ring	NOUN
ejpam-3408	215	4	permit	permit	VERB
ejpam-3408	215	5	an	an	DET
ejpam-3408	215	6	efficient	efficient	ADJ
ejpam-3408	215	7	specialization	specialization	NOUN
ejpam-3408	215	8	of	of	ADP
ejpam-3408	215	9	the	the	DET
ejpam-3408	215	10	nilpotent	nilpotent	ADJ
ejpam-3408	215	11	quotient	quotient	NOUN
ejpam-3408	215	12	algorithm	algorithm	NOUN
ejpam-3408	215	13	to	to	PART
ejpam-3408	215	14	construct	construct	VERB
ejpam-3408	215	15	automorphisms	automorphism	NOUN
ejpam-3408	215	16	and	and	CCONJ
ejpam-3408	215	17	decide	decide	VERB
ejpam-3408	215	18	isomorphism	isomorphism	NOUN
ejpam-3408	215	19	of	of	ADP
ejpam-3408	215	20	finite	finite	ADJ
ejpam-3408	215	21	p	p	NOUN
ejpam-3408	215	22	-	-	PUNCT
ejpam-3408	215	23	groups	group	NOUN
ejpam-3408	215	24	.	.	PUNCT
ejpam-3408	216	1	in	in	ADP
ejpam-3408	216	2	2013	2013	NUM
ejpam-3408	216	3	,	,	PUNCT
ejpam-3408	216	4	khukhro	khukhro	NOUN
ejpam-3408	216	5	and	and	CCONJ
ejpam-3408	216	6	makarenko	makarenko	VERB
ejpam-3408	216	7	[	[	X
ejpam-3408	216	8	132	132	NUM
ejpam-3408	216	9	]	]	PUNCT
ejpam-3408	216	10	discovered	discover	VERB
ejpam-3408	216	11	that	that	SCONJ
ejpam-3408	216	12	the	the	DET
ejpam-3408	216	13	representation	representation	NOUN
ejpam-3408	216	14	theory	theory	NOUN
ejpam-3408	216	15	arguments	argument	NOUN
ejpam-3408	216	16	are	be	AUX
ejpam-3408	216	17	used	use	VERB
ejpam-3408	216	18	to	to	PART
ejpam-3408	216	19	bound	bind	VERB
ejpam-3408	216	20	the	the	DET
ejpam-3408	216	21	index	index	NOUN
ejpam-3408	216	22	of	of	ADP
ejpam-3408	216	23	the	the	DET
ejpam-3408	216	24	fitting	fitting	ADJ
ejpam-3408	216	25	subgroup	subgroup	NOUN
ejpam-3408	216	26	.	.	PUNCT
ejpam-3408	217	1	lie	lie	NOUN
ejpam-3408	217	2	ring	ring	NOUN
ejpam-3408	217	3	methods	method	NOUN
ejpam-3408	217	4	are	be	AUX
ejpam-3408	217	5	used	use	VERB
ejpam-3408	217	6	for	for	ADP
ejpam-3408	217	7	nilpotent	nilpotent	ADJ
ejpam-3408	217	8	groups	group	NOUN
ejpam-3408	217	9	.	.	PUNCT
ejpam-3408	218	1	a	a	DET
ejpam-3408	218	2	similar	similar	ADJ
ejpam-3408	218	3	theorem	theorem	NOUN
ejpam-3408	218	4	on	on	ADP
ejpam-3408	218	5	lie	lie	NOUN
ejpam-3408	218	6	rings	ring	NOUN
ejpam-3408	218	7	with	with	ADP
ejpam-3408	218	8	a	a	DET
ejpam-3408	218	9	metacyclic	metacyclic	ADJ
ejpam-3408	218	10	frobenius	frobenius	NOUN
ejpam-3408	218	11	group	group	NOUN
ejpam-3408	218	12	fh	fh	PROPN
ejpam-3408	218	13	of	of	ADP
ejpam-3408	218	14	automorphisms	automorphisms	PROPN
ejpam-3408	218	15	was	be	AUX
ejpam-3408	218	16	also	also	ADV
ejpam-3408	218	17	proved	prove	VERB
ejpam-3408	218	18	.	.	PUNCT
ejpam-3408	219	1	in	in	ADP
ejpam-3408	219	2	2014	2014	NUM
ejpam-3408	219	3	,	,	PUNCT
ejpam-3408	219	4	horn	horn	NOUN
ejpam-3408	219	5	and	and	CCONJ
ejpam-3408	219	6	zandi	zandi	NOUN
ejpam-3408	220	1	[	[	X
ejpam-3408	220	2	98	98	NUM
ejpam-3408	220	3	]	]	PUNCT
ejpam-3408	220	4	the	the	DET
ejpam-3408	220	5	aim	aim	NOUN
ejpam-3408	220	6	in	in	ADP
ejpam-3408	220	7	their	their	PRON
ejpam-3408	220	8	paper	paper	NOUN
ejpam-3408	220	9	is	be	AUX
ejpam-3408	220	10	to	to	PART
ejpam-3408	220	11	gave	give	VERB
ejpam-3408	220	12	an	an	DET
ejpam-3408	220	13	explicit	explicit	ADJ
ejpam-3408	220	14	description	description	NOUN
ejpam-3408	220	15	of	of	ADP
ejpam-3408	220	16	the	the	DET
ejpam-3408	220	17	cohomology	cohomology	NOUN
ejpam-3408	220	18	group	group	NOUN
ejpam-3408	220	19	h2(l	h2(l	PROPN
ejpam-3408	220	20	,	,	PUNCT
ejpam-3408	220	21	a	a	PRON
ejpam-3408	220	22	)	)	PUNCT
ejpam-3408	220	23	and	and	CCONJ
ejpam-3408	220	24	to	to	PART
ejpam-3408	220	25	show	show	VERB
ejpam-3408	220	26	how	how	SCONJ
ejpam-3408	220	27	its	its	PRON
ejpam-3408	220	28	elements	element	NOUN
ejpam-3408	220	29	correspond	correspond	VERB
ejpam-3408	220	30	one	one	NUM
ejpam-3408	220	31	-	-	PUNCT
ejpam-3408	220	32	to	to	ADP
ejpam-3408	220	33	-	-	PUNCT
ejpam-3408	220	34	one	one	NUM
ejpam-3408	220	35	to	to	ADP
ejpam-3408	220	36	the	the	DET
ejpam-3408	220	37	equivalence	equivalence	NOUN
ejpam-3408	220	38	classes	class	NOUN
ejpam-3408	220	39	of	of	ADP
ejpam-3408	220	40	central	central	ADJ
ejpam-3408	220	41	extensions	extension	NOUN
ejpam-3408	220	42	of	of	ADP
ejpam-3408	220	43	the	the	DET
ejpam-3408	220	44	lie	lie	NOUN
ejpam-3408	220	45	algebra	algebra	NOUN
ejpam-3408	220	46	l	l	NOUN
ejpam-3408	220	47	with	with	ADP
ejpam-3408	220	48	the	the	DET
ejpam-3408	220	49	module	module	NOUN
ejpam-3408	220	50	a	a	PRON
ejpam-3408	220	51	,	,	PUNCT
ejpam-3408	220	52	where	where	SCONJ
ejpam-3408	220	53	we	we	PRON
ejpam-3408	220	54	regard	regard	VERB
ejpam-3408	220	55	a	a	PRON
ejpam-3408	220	56	as	as	ADP
ejpam-3408	220	57	abelian	abelian	ADJ
ejpam-3408	220	58	lie	lie	NOUN
ejpam-3408	220	59	ring	ring	NOUN
ejpam-3408	220	60	.	.	PUNCT
ejpam-3408	221	1	more	more	ADV
ejpam-3408	221	2	recently	recently	ADV
ejpam-3408	221	3	in	in	ADP
ejpam-3408	221	4	2015	2015	NUM
ejpam-3408	221	5	,	,	PUNCT
ejpam-3408	221	6	wilson	wilson	PROPN
ejpam-3408	222	1	[	[	X
ejpam-3408	222	2	259	259	NUM
ejpam-3408	222	3	]	]	PUNCT
ejpam-3408	222	4	generalized	generalize	VERB
ejpam-3408	222	5	the	the	DET
ejpam-3408	222	6	common	common	ADJ
ejpam-3408	222	7	notion	notion	NOUN
ejpam-3408	222	8	of	of	ADP
ejpam-3408	222	9	descending	descend	VERB
ejpam-3408	222	10	and	and	CCONJ
ejpam-3408	222	11	ascending	ascend	VERB
ejpam-3408	222	12	central	central	ADJ
ejpam-3408	222	13	series	series	NOUN
ejpam-3408	222	14	.	.	PUNCT
ejpam-3408	223	1	the	the	DET
ejpam-3408	223	2	descending	descend	VERB
ejpam-3408	223	3	approach	approach	NOUN
ejpam-3408	223	4	determines	determine	VERB
ejpam-3408	223	5	a	a	DET
ejpam-3408	223	6	naturally	naturally	ADV
ejpam-3408	223	7	graded	grade	VERB
ejpam-3408	223	8	lie	lie	NOUN
ejpam-3408	223	9	ring	ring	NOUN
ejpam-3408	223	10	and	and	CCONJ
ejpam-3408	223	11	the	the	DET
ejpam-3408	223	12	ascending	ascend	VERB
ejpam-3408	223	13	version	version	NOUN
ejpam-3408	223	14	determines	determine	VERB
ejpam-3408	223	15	a	a	DET
ejpam-3408	223	16	graded	grade	VERB
ejpam-3408	223	17	module	module	NOUN
ejpam-3408	223	18	for	for	ADP
ejpam-3408	223	19	this	this	DET
ejpam-3408	223	20	ring	ring	NOUN
ejpam-3408	223	21	.	.	PUNCT
ejpam-3408	224	1	he	he	PRON
ejpam-3408	224	2	link	link	VERB
ejpam-3408	224	3	derivations	derivation	NOUN
ejpam-3408	224	4	of	of	ADP
ejpam-3408	224	5	these	these	DET
ejpam-3408	224	6	rings	ring	NOUN
ejpam-3408	224	7	to	to	ADP
ejpam-3408	224	8	the	the	DET
ejpam-3408	224	9	automorphisms	automorphism	NOUN
ejpam-3408	224	10	of	of	ADP
ejpam-3408	224	11	a	a	DET
ejpam-3408	224	12	group	group	NOUN
ejpam-3408	224	13	.	.	PUNCT
ejpam-3408	225	1	2.3	2.3	NUM
ejpam-3408	225	2	.	.	PUNCT
ejpam-3408	225	3	alternative	alternative	ADJ
ejpam-3408	225	4	rings	ring	NOUN
ejpam-3408	225	5	(	(	PUNCT
ejpam-3408	225	6	1930	1930	NUM
ejpam-3408	225	7	-	-	SYM
ejpam-3408	225	8	2015	2015	NUM
ejpam-3408	225	9	)	)	PUNCT
ejpam-3408	225	10	to	to	ADP
ejpam-3408	225	11	the	the	DET
ejpam-3408	225	12	best	good	ADJ
ejpam-3408	225	13	of	of	ADP
ejpam-3408	225	14	our	our	PRON
ejpam-3408	225	15	knowledge	knowledge	NOUN
ejpam-3408	225	16	the	the	DET
ejpam-3408	225	17	first	first	ADJ
ejpam-3408	225	18	detailed	detailed	ADJ
ejpam-3408	225	19	discussion	discussion	NOUN
ejpam-3408	225	20	about	about	ADP
ejpam-3408	225	21	alternative	alternative	ADJ
ejpam-3408	225	22	rings	ring	NOUN
ejpam-3408	225	23	was	be	AUX
ejpam-3408	225	24	started	start	VERB
ejpam-3408	225	25	in	in	ADP
ejpam-3408	225	26	1930	1930	NUM
ejpam-3408	225	27	by	by	ADP
ejpam-3408	225	28	the	the	DET
ejpam-3408	225	29	german	german	ADJ
ejpam-3408	225	30	author	author	NOUN
ejpam-3408	225	31	zorn	zorn	PROPN
ejpam-3408	225	32	.	.	PUNCT
ejpam-3408	226	1	an	an	DET
ejpam-3408	226	2	alternative	alternative	ADJ
ejpam-3408	226	3	ring	ring	NOUN
ejpam-3408	226	4	r	r	NOUN
ejpam-3408	226	5	is	be	AUX
ejpam-3408	226	6	defined	define	VERB
ejpam-3408	226	7	by	by	ADP
ejpam-3408	226	8	the	the	DET
ejpam-3408	226	9	system	system	NOUN
ejpam-3408	226	10	of	of	ADP
ejpam-3408	226	11	identities	identity	NOUN
ejpam-3408	226	12	:	:	PUNCT
ejpam-3408	226	13	(	(	PUNCT
ejpam-3408	226	14	ab)b	ab)b	PROPN
ejpam-3408	226	15	=	=	SYM
ejpam-3408	226	16	a(bb	a(bb	PROPN
ejpam-3408	226	17	)	)	PUNCT
ejpam-3408	226	18	(	(	PUNCT
ejpam-3408	226	19	right	right	ADJ
ejpam-3408	226	20	alternativeness	alternativeness	NOUN
ejpam-3408	226	21	)	)	PUNCT
ejpam-3408	226	22	and	and	CCONJ
ejpam-3408	226	23	(	(	PUNCT
ejpam-3408	226	24	aa)b	aa)b	NOUN
ejpam-3408	226	25	=	=	SYM
ejpam-3408	226	26	a(ab	a(ab	PROPN
ejpam-3408	226	27	)	)	PUNCT
ejpam-3408	226	28	(	(	PUNCT
ejpam-3408	226	29	left	leave	VERB
ejpam-3408	226	30	alternativeness	alternativeness	PROPN
ejpam-3408	226	31	)	)	PUNCT
ejpam-3408	226	32	for	for	ADP
ejpam-3408	226	33	all	all	DET
ejpam-3408	226	34	a	a	DET
ejpam-3408	226	35	,	,	PUNCT
ejpam-3408	226	36	b	b	X
ejpam-3408	226	37	∈	∈	PROPN
ejpam-3408	226	38	r.	r.	PROPN
ejpam-3408	226	39	in	in	ADP
ejpam-3408	226	40	1930	1930	NUM
ejpam-3408	226	41	,	,	PUNCT
ejpam-3408	226	42	zorn	zorn	PUNCT
ejpam-3408	227	1	[	[	X
ejpam-3408	227	2	268	268	NUM
ejpam-3408	227	3	]	]	PUNCT
ejpam-3408	227	4	mentioned	mention	VERB
ejpam-3408	227	5	the	the	DET
ejpam-3408	227	6	theorem	theorem	NOUN
ejpam-3408	227	7	of	of	ADP
ejpam-3408	227	8	artin	artin	PROPN
ejpam-3408	227	9	which	which	PRON
ejpam-3408	227	10	states	state	VERB
ejpam-3408	227	11	that	that	SCONJ
ejpam-3408	227	12	every	every	DET
ejpam-3408	227	13	two	two	NUM
ejpam-3408	227	14	elements	element	NOUN
ejpam-3408	227	15	of	of	ADP
ejpam-3408	227	16	an	an	DET
ejpam-3408	227	17	alternative	alternative	ADJ
ejpam-3408	227	18	ring	ring	NOUN
ejpam-3408	227	19	generate	generate	VERB
ejpam-3408	227	20	an	an	DET
ejpam-3408	227	21	associative	associative	ADJ
ejpam-3408	227	22	sub	sub	NOUN
ejpam-3408	227	23	-	-	NOUN
ejpam-3408	227	24	ring	ring	NOUN
ejpam-3408	227	25	.	.	PUNCT
ejpam-3408	228	1	by	by	ADP
ejpam-3408	228	2	a	a	DET
ejpam-3408	228	3	result	result	NOUN
ejpam-3408	228	4	of	of	ADP
ejpam-3408	228	5	zorn	zorn	PROPN
ejpam-3408	228	6	[	[	X
ejpam-3408	228	7	268	268	NUM
ejpam-3408	228	8	]	]	PUNCT
ejpam-3408	228	9	,	,	PUNCT
ejpam-3408	228	10	it	it	PRON
ejpam-3408	228	11	was	be	AUX
ejpam-3408	228	12	observed	observe	VERB
ejpam-3408	228	13	that	that	SCONJ
ejpam-3408	228	14	the	the	DET
ejpam-3408	228	15	only	only	ADJ
ejpam-3408	228	16	not	not	PART
ejpam-3408	228	17	associative	associative	ADJ
ejpam-3408	228	18	summands	summand	NOUN
ejpam-3408	228	19	permitted	permit	VERB
ejpam-3408	228	20	are	be	AUX
ejpam-3408	228	21	merely	merely	ADV
ejpam-3408	228	22	finite	finite	ADJ
ejpam-3408	228	23	cayley	cayley	ADJ
ejpam-3408	228	24	-	-	PUNCT
ejpam-3408	228	25	dickson	dickson	PROPN
ejpam-3408	228	26	algebras	algebras	PROPN
ejpam-3408	228	27	(	(	PUNCT
ejpam-3408	228	28	which	which	PRON
ejpam-3408	228	29	is	be	AUX
ejpam-3408	228	30	the	the	DET
ejpam-3408	228	31	first	first	ADJ
ejpam-3408	228	32	example	example	NOUN
ejpam-3408	228	33	of	of	ADP
ejpam-3408	228	34	alternative	alternative	ADJ
ejpam-3408	228	35	rings	ring	NOUN
ejpam-3408	228	36	)	)	PUNCT
ejpam-3408	228	37	with	with	ADP
ejpam-3408	228	38	divisors	divisor	NOUN
ejpam-3408	228	39	of	of	ADP
ejpam-3408	228	40	zero	zero	NUM
ejpam-3408	228	41	.	.	PUNCT
ejpam-3408	229	1	in	in	ADP
ejpam-3408	229	2	1933	1933	NUM
ejpam-3408	229	3	,	,	PUNCT
ejpam-3408	229	4	zorn	zorn	PUNCT
ejpam-3408	230	1	[	[	X
ejpam-3408	230	2	269	269	NUM
ejpam-3408	230	3	]	]	PUNCT
ejpam-3408	230	4	discussed	discuss	VERB
ejpam-3408	230	5	also	also	ADV
ejpam-3408	230	6	the	the	DET
ejpam-3408	230	7	finite	finite	ADJ
ejpam-3408	230	8	-	-	ADJ
ejpam-3408	230	9	dimensional	dimensional	ADJ
ejpam-3408	230	10	case	case	NOUN
ejpam-3408	230	11	in	in	ADP
ejpam-3408	230	12	alternative	alternative	ADJ
ejpam-3408	230	13	rings	ring	NOUN
ejpam-3408	230	14	.	.	PUNCT
ejpam-3408	231	1	in	in	ADP
ejpam-3408	231	2	1935	1935	NUM
ejpam-3408	231	3	,	,	PUNCT
ejpam-3408	231	4	moufang	moufang	PROPN
ejpam-3408	232	1	[	[	X
ejpam-3408	232	2	186	186	NUM
ejpam-3408	232	3	]	]	PUNCT
ejpam-3408	232	4	proved	prove	VERB
ejpam-3408	232	5	a	a	DET
ejpam-3408	232	6	generalization	generalization	NOUN
ejpam-3408	232	7	for	for	ADP
ejpam-3408	232	8	alternative	alternative	ADJ
ejpam-3408	232	9	division	division	NOUN
ejpam-3408	232	10	rings	ring	NOUN
ejpam-3408	232	11	:	:	PUNCT
ejpam-3408	232	12	if	if	SCONJ
ejpam-3408	232	13	(	(	PUNCT
ejpam-3408	232	14	a	a	DET
ejpam-3408	232	15	,	,	PUNCT
ejpam-3408	232	16	b	b	NOUN
ejpam-3408	232	17	,	,	PUNCT
ejpam-3408	232	18	c	c	NOUN
ejpam-3408	232	19	)	)	PUNCT
ejpam-3408	232	20	=	=	SYM
ejpam-3408	232	21	0	0	NUM
ejpam-3408	232	22	,	,	PUNCT
ejpam-3408	232	23	then	then	ADV
ejpam-3408	232	24	a	a	DET
ejpam-3408	232	25	,	,	PUNCT
ejpam-3408	232	26	b	b	NOUN
ejpam-3408	232	27	,	,	PUNCT
ejpam-3408	232	28	c	c	PROPN
ejpam-3408	232	29	generate	generate	VERB
ejpam-3408	232	30	a	a	DET
ejpam-3408	232	31	division	division	NOUN
ejpam-3408	232	32	sub	sub	NOUN
ejpam-3408	232	33	-	-	NOUN
ejpam-3408	232	34	ring	ring	NOUN
ejpam-3408	232	35	which	which	PRON
ejpam-3408	232	36	is	be	AUX
ejpam-3408	232	37	associative	associative	ADJ
ejpam-3408	232	38	.	.	PUNCT
ejpam-3408	233	1	for	for	ADP
ejpam-3408	233	2	more	more	ADJ
ejpam-3408	233	3	details	detail	NOUN
ejpam-3408	233	4	regarding	regard	VERB
ejpam-3408	233	5	finite	finite	ADJ
ejpam-3408	233	6	dimensional	dimensional	ADJ
ejpam-3408	233	7	case	case	NOUN
ejpam-3408	233	8	the	the	DET
ejpam-3408	233	9	readers	reader	NOUN
ejpam-3408	233	10	are	be	AUX
ejpam-3408	233	11	referred	refer	VERB
ejpam-3408	233	12	to	to	ADP
ejpam-3408	233	13	the	the	DET
ejpam-3408	233	14	contribution	contribution	NOUN
ejpam-3408	233	15	of	of	ADP
ejpam-3408	233	16	jacobson	jacobson	PROPN
ejpam-3408	234	1	[	[	X
ejpam-3408	234	2	110	110	NUM
ejpam-3408	234	3	]	]	PUNCT
ejpam-3408	234	4	,	,	PUNCT
ejpam-3408	234	5	albert	albert	PROPN
ejpam-3408	235	1	[	[	X
ejpam-3408	235	2	2	2	NUM
ejpam-3408	235	3	]	]	PUNCT
ejpam-3408	235	4	,	,	PUNCT
ejpam-3408	235	5	schafer	schafer	PROPN
ejpam-3408	235	6	[	[	X
ejpam-3408	235	7	206	206	NUM
ejpam-3408	235	8	,	,	PUNCT
ejpam-3408	235	9	207	207	NUM
ejpam-3408	235	10	]	]	X
ejpam-3408	235	11	dubisch	dubisch	NOUN
ejpam-3408	235	12	and	and	CCONJ
ejpam-3408	235	13	perlis	perli	NOUN
ejpam-3408	236	1	[	[	X
ejpam-3408	236	2	42	42	NUM
ejpam-3408	236	3	]	]	PUNCT
ejpam-3408	236	4	.	.	PUNCT
ejpam-3408	237	1	in	in	ADP
ejpam-3408	237	2	1943	1943	NUM
ejpam-3408	237	3	,	,	PUNCT
ejpam-3408	237	4	schafer	schafer	NOUN
ejpam-3408	238	1	[	[	X
ejpam-3408	238	2	205	205	NUM
ejpam-3408	238	3	]	]	PUNCT
ejpam-3408	238	4	studied	study	VERB
ejpam-3408	238	5	the	the	DET
ejpam-3408	238	6	alternative	alternative	ADJ
ejpam-3408	238	7	division	division	NOUN
ejpam-3408	238	8	algebras	algebra	NOUN
ejpam-3408	238	9	of	of	ADP
ejpam-3408	238	10	degree	degree	NOUN
ejpam-3408	238	11	two	two	NUM
ejpam-3408	238	12	which	which	PRON
ejpam-3408	238	13	is	be	AUX
ejpam-3408	238	14	independent	independent	ADJ
ejpam-3408	238	15	of	of	ADP
ejpam-3408	238	16	zorn	zorn	PROPN
ejpam-3408	238	17	’s	’s	PART
ejpam-3408	238	18	results	result	NOUN
ejpam-3408	238	19	.	.	PUNCT
ejpam-3408	239	1	in	in	ADP
ejpam-3408	239	2	1946	1946	NUM
ejpam-3408	239	3	,	,	PUNCT
ejpam-3408	239	4	forsythe	forsythe	PROPN
ejpam-3408	239	5	and	and	CCONJ
ejpam-3408	239	6	mccoy	mccoy	PROPN
ejpam-3408	240	1	[	[	X
ejpam-3408	240	2	51	51	NUM
ejpam-3408	240	3	]	]	PUNCT
ejpam-3408	240	4	gave	give	VERB
ejpam-3408	240	5	an	an	DET
ejpam-3408	240	6	approach	approach	NOUN
ejpam-3408	240	7	that	that	SCONJ
ejpam-3408	240	8	an	an	DET
ejpam-3408	240	9	associative	associative	ADJ
ejpam-3408	240	10	regular	regular	ADJ
ejpam-3408	240	11	ring	ring	NOUN
ejpam-3408	240	12	without	without	ADP
ejpam-3408	240	13	nonzero	nonzero	ADJ
ejpam-3408	240	14	nilpotent	nilpotent	ADJ
ejpam-3408	240	15	elements	element	NOUN
ejpam-3408	240	16	is	be	AUX
ejpam-3408	240	17	a	a	DET
ejpam-3408	240	18	sub	sub	ADJ
ejpam-3408	240	19	-	-	ADJ
ejpam-3408	240	20	direct	direct	ADJ
ejpam-3408	240	21	sum	sum	NOUN
ejpam-3408	240	22	of	of	ADP
ejpam-3408	240	23	associative	associative	ADJ
ejpam-3408	240	24	division	division	NOUN
ejpam-3408	240	25	rings	ring	NOUN
ejpam-3408	240	26	is	be	AUX
ejpam-3408	240	27	easily	easily	ADV
ejpam-3408	240	28	extendable	extendable	ADJ
ejpam-3408	240	29	to	to	ADP
ejpam-3408	240	30	alternative	alternative	ADJ
ejpam-3408	240	31	rings	ring	NOUN
ejpam-3408	240	32	.	.	PUNCT
ejpam-3408	241	1	in	in	ADP
ejpam-3408	241	2	1947	1947	NUM
ejpam-3408	241	3	,	,	PUNCT
ejpam-3408	241	4	smiley	smiley	NOUN
ejpam-3408	241	5	[	[	PUNCT
ejpam-3408	241	6	237	237	NUM
ejpam-3408	241	7	]	]	PUNCT
ejpam-3408	241	8	studied	study	VERB
ejpam-3408	241	9	alternative	alternative	ADJ
ejpam-3408	241	10	regular	regular	ADJ
ejpam-3408	241	11	rings	ring	NOUN
ejpam-3408	241	12	without	without	ADP
ejpam-3408	241	13	nilpotent	nilpotent	ADJ
ejpam-3408	241	14	elements	element	NOUN
ejpam-3408	241	15	and	and	CCONJ
ejpam-3408	241	16	proposed	propose	VERB
ejpam-3408	241	17	an	an	DET
ejpam-3408	241	18	approach	approach	NOUN
ejpam-3408	241	19	that	that	SCONJ
ejpam-3408	241	20	every	every	DET
ejpam-3408	241	21	alternative	alternative	ADJ
ejpam-3408	241	22	algebraic	algebraic	ADJ
ejpam-3408	241	23	algebra	algebra	NOUN
ejpam-3408	241	24	which	which	PRON
ejpam-3408	241	25	has	have	VERB
ejpam-3408	241	26	no	no	DET
ejpam-3408	241	27	nilpotent	nilpotent	ADJ
ejpam-3408	241	28	elements	element	NOUN
ejpam-3408	241	29	is	be	AUX
ejpam-3408	241	30	the	the	DET
ejpam-3408	241	31	sub	sub	ADJ
ejpam-3408	241	32	-	-	ADJ
ejpam-3408	241	33	direct	direct	ADJ
ejpam-3408	241	34	sum	sum	NOUN
ejpam-3408	241	35	of	of	ADP
ejpam-3408	241	36	alternative	alternative	ADJ
ejpam-3408	241	37	division	division	NOUN
ejpam-3408	241	38	algebras	algebra	NOUN
ejpam-3408	241	39	.	.	PUNCT
ejpam-3408	242	1	kaplansky	kaplansky	PROPN
ejpam-3408	243	1	[	[	X
ejpam-3408	243	2	126	126	NUM
ejpam-3408	243	3	]	]	PUNCT
ejpam-3408	243	4	in	in	ADP
ejpam-3408	243	5	1947	1947	NUM
ejpam-3408	243	6	presented	present	VERB
ejpam-3408	243	7	many	many	ADJ
ejpam-3408	243	8	of	of	ADP
ejpam-3408	243	9	the	the	DET
ejpam-3408	243	10	preliminary	preliminary	ADJ
ejpam-3408	243	11	results	result	NOUN
ejpam-3408	243	12	which	which	PRON
ejpam-3408	243	13	were	be	AUX
ejpam-3408	243	14	valid	valid	ADJ
ejpam-3408	243	15	at	at	ADP
ejpam-3408	243	16	least	least	ADJ
ejpam-3408	243	17	for	for	ADP
ejpam-3408	243	18	special	special	ADJ
ejpam-3408	243	19	alternative	alternative	ADJ
ejpam-3408	243	20	rings	ring	NOUN
ejpam-3408	243	21	.	.	PUNCT
ejpam-3408	244	1	smiley	smiley	NOUN
ejpam-3408	244	2	[	[	X
ejpam-3408	244	3	238	238	NUM
ejpam-3408	244	4	]	]	PUNCT
ejpam-3408	244	5	in	in	ADP
ejpam-3408	244	6	1948	1948	NUM
ejpam-3408	244	7	studied	study	VERB
ejpam-3408	244	8	the	the	DET
ejpam-3408	244	9	concept	concept	NOUN
ejpam-3408	244	10	of	of	ADP
ejpam-3408	244	11	radical	radical	ADJ
ejpam-3408	244	12	of	of	ADP
ejpam-3408	244	13	an	an	DET
ejpam-3408	244	14	alternative	alternative	ADJ
ejpam-3408	244	15	ring	ring	NOUN
ejpam-3408	244	16	and	and	CCONJ
ejpam-3408	244	17	discussed	discuss	VERB
ejpam-3408	244	18	the	the	DET
ejpam-3408	244	19	radicals	radical	NOUN
ejpam-3408	244	20	of	of	ADP
ejpam-3408	244	21	infinite	infinite	ADJ
ejpam-3408	244	22	order	order	NOUN
ejpam-3408	244	23	algebras	algebra	NOUN
ejpam-3408	244	24	and	and	CCONJ
ejpam-3408	244	25	was	be	AUX
ejpam-3408	244	26	also	also	ADV
ejpam-3408	244	27	able	able	ADJ
ejpam-3408	244	28	to	to	PART
ejpam-3408	244	29	show	show	VERB
ejpam-3408	244	30	that	that	SCONJ
ejpam-3408	244	31	the	the	DET
ejpam-3408	244	32	jacobson	jacobson	PROPN
ejpam-3408	244	33	’s	’s	PART
ejpam-3408	244	34	definition	definition	NOUN
ejpam-3408	244	35	of	of	ADP
ejpam-3408	244	36	the	the	DET
ejpam-3408	244	37	radical	radical	NOUN
ejpam-3408	244	38	of	of	ADP
ejpam-3408	244	39	an	an	DET
ejpam-3408	244	40	associative	associative	ADJ
ejpam-3408	244	41	ring	ring	NOUN
ejpam-3408	244	42	is	be	AUX
ejpam-3408	244	43	applied	apply	VERB
ejpam-3408	244	44	to	to	ADP
ejpam-3408	244	45	alternative	alternative	ADJ
ejpam-3408	244	46	ring	ring	NOUN
ejpam-3408	244	47	.	.	PUNCT
ejpam-3408	245	1	in	in	ADP
ejpam-3408	245	2	1948	1948	NUM
ejpam-3408	245	3	,	,	PUNCT
ejpam-3408	245	4	kaplansky	kaplansky	PROPN
ejpam-3408	245	5	[	[	X
ejpam-3408	245	6	125	125	NUM
ejpam-3408	245	7	]	]	PUNCT
ejpam-3408	245	8	also	also	ADV
ejpam-3408	245	9	obtained	obtain	VERB
ejpam-3408	245	10	the	the	DET
ejpam-3408	245	11	cayley	cayley	ADJ
ejpam-3408	245	12	numbers	number	NOUN
ejpam-3408	245	13	as	as	ADP
ejpam-3408	245	14	the	the	DET
ejpam-3408	245	15	only	only	ADJ
ejpam-3408	245	16	not	not	PART
ejpam-3408	245	17	associative	associative	ADJ
ejpam-3408	245	18	alternative	alternative	ADJ
ejpam-3408	245	19	division	division	NOUN
ejpam-3408	245	20	ring	ring	NOUN
ejpam-3408	245	21	which	which	PRON
ejpam-3408	245	22	was	be	AUX
ejpam-3408	245	23	both	both	CCONJ
ejpam-3408	245	24	connected	connect	VERB
ejpam-3408	245	25	and	and	CCONJ
ejpam-3408	245	26	locally	locally	ADV
ejpam-3408	245	27	connected	connect	VERB
ejpam-3408	245	28	,	,	PUNCT
ejpam-3408	245	29	and	and	CCONJ
ejpam-3408	245	30	he	he	PRON
ejpam-3408	245	31	gave	give	VERB
ejpam-3408	245	32	a	a	DET
ejpam-3408	245	33	conjecture	conjecture	NOUN
ejpam-3408	245	34	that	that	SCONJ
ejpam-3408	245	35	a	a	DET
ejpam-3408	245	36	similar	similar	ADJ
ejpam-3408	245	37	result	result	NOUN
ejpam-3408	245	38	holds	hold	VERB
ejpam-3408	245	39	in	in	ADP
ejpam-3408	245	40	the	the	DET
ejpam-3408	245	41	totally	totally	ADV
ejpam-3408	245	42	disconnected	disconnected	ADJ
ejpam-3408	245	43	,	,	PUNCT
ejpam-3408	245	44	locally	locally	ADV
ejpam-3408	245	45	compact	compact	ADJ
ejpam-3408	245	46	case	case	NOUN
ejpam-3408	245	47	.	.	PUNCT
ejpam-3408	246	1	a	a	DET
ejpam-3408	246	2	ring	ring	NOUN
ejpam-3408	246	3	is	be	AUX
ejpam-3408	246	4	defined	define	VERB
ejpam-3408	246	5	to	to	PART
ejpam-3408	246	6	be	be	AUX
ejpam-3408	246	7	right	right	ADJ
ejpam-3408	246	8	alternative	alternative	NOUN
ejpam-3408	246	9	in	in	ADP
ejpam-3408	246	10	case	case	NOUN
ejpam-3408	246	11	ab.b−	ab.b−	PROPN
ejpam-3408	246	12	a.bb	a.bb	NOUN
ejpam-3408	246	13	=	=	SYM
ejpam-3408	246	14	0	0	NUM
ejpam-3408	246	15	is	be	AUX
ejpam-3408	246	16	an	an	DET
ejpam-3408	246	17	identical	identical	ADJ
ejpam-3408	246	18	relation	relation	NOUN
ejpam-3408	246	19	in	in	ADP
ejpam-3408	246	20	the	the	DET
ejpam-3408	246	21	ring	ring	NOUN
ejpam-3408	246	22	.	.	PUNCT
ejpam-3408	247	1	right	right	ADJ
ejpam-3408	247	2	alternative	alternative	ADJ
ejpam-3408	247	3	algebras	algebra	NOUN
ejpam-3408	247	4	were	be	AUX
ejpam-3408	247	5	first	first	ADV
ejpam-3408	247	6	studied	study	VERB
ejpam-3408	247	7	by	by	ADP
ejpam-3408	247	8	albert	albert	PROPN
ejpam-3408	248	1	[	[	X
ejpam-3408	248	2	6	6	NUM
ejpam-3408	248	3	]	]	PUNCT
ejpam-3408	248	4	in	in	ADP
ejpam-3408	248	5	1949	1949	NUM
ejpam-3408	248	6	he	he	PRON
ejpam-3408	248	7	showed	show	VERB
ejpam-3408	248	8	that	that	SCONJ
ejpam-3408	248	9	a	a	DET
ejpam-3408	248	10	a.	a.	NOUN
ejpam-3408	248	11	razzaque	razzaque	NOUN
ejpam-3408	248	12	et	et	PROPN
ejpam-3408	248	13	al	al	PROPN
ejpam-3408	248	14	.	.	PUNCT
ejpam-3408	248	15	/	/	SYM
ejpam-3408	248	16	eur	eur	PROPN
ejpam-3408	248	17	.	.	PUNCT
ejpam-3408	249	1	j.	j.	PROPN
ejpam-3408	249	2	pure	pure	PROPN
ejpam-3408	249	3	appl	appl	PROPN
ejpam-3408	249	4	.	.	PROPN
ejpam-3408	249	5	math	math	PROPN
ejpam-3408	249	6	,	,	PUNCT
ejpam-3408	249	7	12	12	NUM
ejpam-3408	249	8	(	(	PUNCT
ejpam-3408	249	9	2	2	NUM
ejpam-3408	249	10	)	)	PUNCT
ejpam-3408	249	11	(	(	PUNCT
ejpam-3408	249	12	2019	2019	NUM
ejpam-3408	249	13	)	)	PUNCT
ejpam-3408	249	14	,	,	PUNCT
ejpam-3408	249	15	370	370	NUM
ejpam-3408	249	16	-	-	SYM
ejpam-3408	249	17	408	408	NUM
ejpam-3408	249	18	378	378	NUM
ejpam-3408	249	19	semi	semi	ADJ
ejpam-3408	249	20	-	-	ADJ
ejpam-3408	249	21	simple	simple	ADJ
ejpam-3408	249	22	,	,	PUNCT
ejpam-3408	249	23	right	right	ADJ
ejpam-3408	249	24	alternative	alternative	ADJ
ejpam-3408	249	25	algebra	algebra	NOUN
ejpam-3408	249	26	over	over	ADP
ejpam-3408	249	27	a	a	DET
ejpam-3408	249	28	field	field	NOUN
ejpam-3408	249	29	of	of	ADP
ejpam-3408	249	30	characteristic	characteristic	ADJ
ejpam-3408	249	31	0	0	NUM
ejpam-3408	249	32	is	be	AUX
ejpam-3408	249	33	alternative	alternative	ADJ
ejpam-3408	249	34	.	.	PUNCT
ejpam-3408	250	1	in	in	ADP
ejpam-3408	250	2	1950	1950	NUM
ejpam-3408	250	3	,	,	PUNCT
ejpam-3408	250	4	brown	brown	NOUN
ejpam-3408	250	5	and	and	CCONJ
ejpam-3408	250	6	mccoy	mccoy	PROPN
ejpam-3408	250	7	[	[	X
ejpam-3408	250	8	17	17	NUM
ejpam-3408	250	9	]	]	PUNCT
ejpam-3408	250	10	suggested	suggest	VERB
ejpam-3408	250	11	that	that	SCONJ
ejpam-3408	250	12	every	every	DET
ejpam-3408	250	13	alternative	alternative	ADJ
ejpam-3408	250	14	ring	ring	NOUN
ejpam-3408	250	15	has	have	VERB
ejpam-3408	250	16	a	a	DET
ejpam-3408	250	17	greatest	great	ADJ
ejpam-3408	250	18	regular	regular	ADJ
ejpam-3408	250	19	ideal	ideal	NOUN
ejpam-3408	250	20	.	.	PUNCT
ejpam-3408	251	1	also	also	ADV
ejpam-3408	251	2	in	in	ADP
ejpam-3408	251	3	1950	1950	NUM
ejpam-3408	251	4	,	,	PUNCT
ejpam-3408	251	5	in	in	ADP
ejpam-3408	251	6	the	the	DET
ejpam-3408	251	7	work	work	NOUN
ejpam-3408	251	8	of	of	ADP
ejpam-3408	251	9	skornyakov	skornyakov	NOUN
ejpam-3408	251	10	[	[	X
ejpam-3408	251	11	221	221	NUM
ejpam-3408	251	12	,	,	PUNCT
ejpam-3408	251	13	222	222	NUM
ejpam-3408	251	14	]	]	PUNCT
ejpam-3408	251	15	provided	provide	VERB
ejpam-3408	251	16	a	a	DET
ejpam-3408	251	17	full	full	ADJ
ejpam-3408	251	18	description	description	NOUN
ejpam-3408	251	19	of	of	ADP
ejpam-3408	251	20	alternative	alternative	NOUN
ejpam-3408	251	21	but	but	CCONJ
ejpam-3408	251	22	not	not	PART
ejpam-3408	251	23	associative	associative	ADJ
ejpam-3408	251	24	division	division	NOUN
ejpam-3408	251	25	rings	ring	NOUN
ejpam-3408	251	26	.	.	PUNCT
ejpam-3408	252	1	he	he	PRON
ejpam-3408	252	2	showed	show	VERB
ejpam-3408	252	3	that	that	SCONJ
ejpam-3408	252	4	each	each	DET
ejpam-3408	252	5	such	such	ADJ
ejpam-3408	252	6	division	division	NOUN
ejpam-3408	252	7	ring	ring	NOUN
ejpam-3408	252	8	is	be	AUX
ejpam-3408	252	9	an	an	DET
ejpam-3408	252	10	algebra	algebra	NOUN
ejpam-3408	252	11	of	of	ADP
ejpam-3408	252	12	dimension	dimension	NOUN
ejpam-3408	252	13	8	8	NUM
ejpam-3408	252	14	over	over	ADP
ejpam-3408	252	15	some	some	DET
ejpam-3408	252	16	field	field	NOUN
ejpam-3408	252	17	.	.	PUNCT
ejpam-3408	253	1	later	later	ADV
ejpam-3408	253	2	in	in	ADP
ejpam-3408	253	3	1951	1951	NUM
ejpam-3408	253	4	,	,	PUNCT
ejpam-3408	253	5	bruck	bruck	NOUN
ejpam-3408	253	6	and	and	CCONJ
ejpam-3408	253	7	kleinfeld	kleinfeld	VERB
ejpam-3408	254	1	[	[	X
ejpam-3408	254	2	24	24	NUM
ejpam-3408	254	3	]	]	PUNCT
ejpam-3408	254	4	proved	prove	VERB
ejpam-3408	254	5	the	the	DET
ejpam-3408	254	6	result	result	NOUN
ejpam-3408	254	7	of	of	ADP
ejpam-3408	254	8	skornyakov	skornyakov	NOUN
ejpam-3408	254	9	[	[	X
ejpam-3408	254	10	221	221	NUM
ejpam-3408	254	11	]	]	PUNCT
ejpam-3408	254	12	,	,	PUNCT
ejpam-3408	254	13	independently	independently	ADV
ejpam-3408	254	14	.	.	PUNCT
ejpam-3408	255	1	in	in	ADP
ejpam-3408	255	2	1951	1951	NUM
ejpam-3408	255	3	,	,	PUNCT
ejpam-3408	255	4	skornyakov	skornyakov	VERB
ejpam-3408	255	5	[	[	X
ejpam-3408	255	6	223	223	NUM
ejpam-3408	255	7	]	]	PUNCT
ejpam-3408	255	8	proposed	propose	VERB
ejpam-3408	255	9	that	that	SCONJ
ejpam-3408	255	10	the	the	DET
ejpam-3408	255	11	study	study	NOUN
ejpam-3408	255	12	of	of	ADP
ejpam-3408	255	13	alternative	alternative	ADJ
ejpam-3408	255	14	rings	ring	NOUN
ejpam-3408	255	15	in	in	ADP
ejpam-3408	255	16	general	general	ADJ
ejpam-3408	255	17	began	begin	VERB
ejpam-3408	255	18	with	with	ADP
ejpam-3408	255	19	the	the	DET
ejpam-3408	255	20	study	study	NOUN
ejpam-3408	255	21	of	of	ADP
ejpam-3408	255	22	alternative	alternative	ADJ
ejpam-3408	255	23	division	division	NOUN
ejpam-3408	255	24	rings	ring	NOUN
ejpam-3408	255	25	,	,	PUNCT
ejpam-3408	255	26	which	which	PRON
ejpam-3408	255	27	in	in	ADP
ejpam-3408	255	28	the	the	DET
ejpam-3408	255	29	theory	theory	NOUN
ejpam-3408	255	30	of	of	ADP
ejpam-3408	255	31	projective	projective	ADJ
ejpam-3408	255	32	planes	plane	NOUN
ejpam-3408	255	33	play	play	VERB
ejpam-3408	255	34	the	the	DET
ejpam-3408	255	35	role	role	NOUN
ejpam-3408	255	36	of	of	ADP
ejpam-3408	255	37	the	the	DET
ejpam-3408	255	38	so	so	ADV
ejpam-3408	255	39	-	-	PUNCT
ejpam-3408	255	40	called	call	VERB
ejpam-3408	255	41	natural	natural	ADJ
ejpam-3408	255	42	division	division	NOUN
ejpam-3408	255	43	rings	ring	NOUN
ejpam-3408	255	44	of	of	ADP
ejpam-3408	255	45	alternative	alternative	NOUN
ejpam-3408	255	46	.	.	PUNCT
ejpam-3408	256	1	another	another	DET
ejpam-3408	256	2	result	result	NOUN
ejpam-3408	256	3	concerns	concern	VERB
ejpam-3408	256	4	right	right	ADJ
ejpam-3408	256	5	alternative	alternative	ADJ
ejpam-3408	256	6	division	division	NOUN
ejpam-3408	256	7	rings	ring	NOUN
ejpam-3408	256	8	,	,	PUNCT
ejpam-3408	256	9	which	which	PRON
ejpam-3408	256	10	are	be	AUX
ejpam-3408	256	11	of	of	ADP
ejpam-3408	256	12	geometrical	geometrical	ADJ
ejpam-3408	256	13	interest	interest	NOUN
ejpam-3408	256	14	since	since	SCONJ
ejpam-3408	256	15	they	they	PRON
ejpam-3408	256	16	arise	arise	VERB
ejpam-3408	256	17	as	as	ADP
ejpam-3408	256	18	coordinate	coordinate	NOUN
ejpam-3408	256	19	systems	system	NOUN
ejpam-3408	256	20	of	of	ADP
ejpam-3408	256	21	certain	certain	ADJ
ejpam-3408	256	22	projective	projective	ADJ
ejpam-3408	256	23	planes	plane	NOUN
ejpam-3408	256	24	in	in	ADP
ejpam-3408	256	25	which	which	PRON
ejpam-3408	256	26	a	a	DET
ejpam-3408	256	27	configuration	configuration	NOUN
ejpam-3408	256	28	weaker	weak	ADJ
ejpam-3408	256	29	than	than	SCONJ
ejpam-3408	256	30	desargue	desargue	NOUN
ejpam-3408	256	31	’s	’s	PART
ejpam-3408	256	32	is	be	AUX
ejpam-3408	256	33	assumed	assume	VERB
ejpam-3408	256	34	to	to	PART
ejpam-3408	256	35	hold	hold	VERB
ejpam-3408	256	36	.	.	PUNCT
ejpam-3408	257	1	in	in	ADP
ejpam-3408	257	2	this	this	DET
ejpam-3408	257	3	connection	connection	NOUN
ejpam-3408	257	4	skorniakov	skorniakov	VERB
ejpam-3408	258	1	[	[	X
ejpam-3408	258	2	225	225	NUM
ejpam-3408	258	3	]	]	PUNCT
ejpam-3408	258	4	in	in	ADP
ejpam-3408	258	5	1951	1951	NUM
ejpam-3408	258	6	has	have	AUX
ejpam-3408	258	7	made	make	VERB
ejpam-3408	258	8	known	know	VERB
ejpam-3408	258	9	that	that	SCONJ
ejpam-3408	258	10	a	a	DET
ejpam-3408	258	11	right	right	ADJ
ejpam-3408	258	12	alternative	alternative	ADJ
ejpam-3408	258	13	division	division	NOUN
ejpam-3408	258	14	ring	ring	NOUN
ejpam-3408	258	15	of	of	ADP
ejpam-3408	258	16	characteristic	characteristic	ADJ
ejpam-3408	258	17	not	not	PART
ejpam-3408	258	18	2	2	NUM
ejpam-3408	258	19	is	be	AUX
ejpam-3408	258	20	alternative	alternative	ADJ
ejpam-3408	258	21	.	.	PUNCT
ejpam-3408	259	1	some	some	DET
ejpam-3408	259	2	attention	attention	NOUN
ejpam-3408	259	3	had	have	AUX
ejpam-3408	259	4	been	be	AUX
ejpam-3408	259	5	given	give	VERB
ejpam-3408	259	6	to	to	ADP
ejpam-3408	259	7	right	right	ADJ
ejpam-3408	259	8	alternative	alternative	ADJ
ejpam-3408	259	9	rings	ring	NOUN
ejpam-3408	259	10	when	when	SCONJ
ejpam-3408	259	11	skornyakov	skornyakov	PROPN
ejpam-3408	259	12	[	[	X
ejpam-3408	259	13	224	224	NUM
ejpam-3408	259	14	]	]	PUNCT
ejpam-3408	259	15	in	in	ADP
ejpam-3408	259	16	1951	1951	NUM
ejpam-3408	259	17	established	establish	VERB
ejpam-3408	259	18	the	the	DET
ejpam-3408	259	19	result	result	NOUN
ejpam-3408	259	20	that	that	SCONJ
ejpam-3408	259	21	every	every	DET
ejpam-3408	259	22	right	right	ADJ
ejpam-3408	259	23	alternative	alternative	ADJ
ejpam-3408	259	24	division	division	NOUN
ejpam-3408	259	25	ring	ring	NOUN
ejpam-3408	259	26	is	be	AUX
ejpam-3408	259	27	alternative	alternative	ADJ
ejpam-3408	259	28	.	.	PUNCT
ejpam-3408	260	1	in	in	ADP
ejpam-3408	260	2	1952	1952	NUM
ejpam-3408	260	3	,	,	PUNCT
ejpam-3408	260	4	albert	albert	PROPN
ejpam-3408	260	5	[	[	X
ejpam-3408	260	6	7	7	NUM
ejpam-3408	260	7	]	]	PUNCT
ejpam-3408	260	8	proved	prove	VERB
ejpam-3408	260	9	the	the	DET
ejpam-3408	260	10	results	result	NOUN
ejpam-3408	260	11	for	for	ADP
ejpam-3408	260	12	simple	simple	ADJ
ejpam-3408	260	13	alternative	alternative	ADJ
ejpam-3408	260	14	rings	ring	NOUN
ejpam-3408	260	15	and	and	CCONJ
ejpam-3408	260	16	his	his	PRON
ejpam-3408	260	17	proposed	propose	VERB
ejpam-3408	260	18	results	result	NOUN
ejpam-3408	260	19	were	be	AUX
ejpam-3408	260	20	based	base	VERB
ejpam-3408	260	21	on	on	ADP
ejpam-3408	260	22	the	the	DET
ejpam-3408	260	23	properties	property	NOUN
ejpam-3408	260	24	which	which	PRON
ejpam-3408	260	25	were	be	AUX
ejpam-3408	260	26	given	give	VERB
ejpam-3408	260	27	by	by	ADP
ejpam-3408	260	28	zorn	zorn	PROPN
ejpam-3408	261	1	[	[	X
ejpam-3408	261	2	268	268	NUM
ejpam-3408	261	3	]	]	PUNCT
ejpam-3408	261	4	.	.	PUNCT
ejpam-3408	262	1	kleinfeld	kleinfeld	PROPN
ejpam-3408	263	1	[	[	X
ejpam-3408	263	2	134	134	NUM
ejpam-3408	263	3	]	]	PUNCT
ejpam-3408	263	4	in	in	ADP
ejpam-3408	263	5	1953	1953	NUM
ejpam-3408	263	6	proved	prove	VERB
ejpam-3408	263	7	that	that	SCONJ
ejpam-3408	263	8	for	for	ADP
ejpam-3408	263	9	the	the	DET
ejpam-3408	263	10	alternativity	alternativity	NOUN
ejpam-3408	263	11	of	of	ADP
ejpam-3408	263	12	a	a	DET
ejpam-3408	263	13	right	right	ADJ
ejpam-3408	263	14	alternative	alternative	ADJ
ejpam-3408	263	15	ring	ring	NOUN
ejpam-3408	263	16	it	it	PRON
ejpam-3408	263	17	is	be	AUX
ejpam-3408	263	18	sufficient	sufficient	ADJ
ejpam-3408	263	19	that	that	SCONJ
ejpam-3408	263	20	[	[	X
ejpam-3408	263	21	x	x	X
ejpam-3408	263	22	,	,	PUNCT
ejpam-3408	263	23	y	y	PROPN
ejpam-3408	263	24	,	,	PUNCT
ejpam-3408	263	25	z]2	z]2	X
ejpam-3408	263	26	=	=	SYM
ejpam-3408	263	27	0	0	NUM
ejpam-3408	263	28	implies	imply	VERB
ejpam-3408	263	29	[	[	X
ejpam-3408	263	30	x	x	X
ejpam-3408	263	31	,	,	PUNCT
ejpam-3408	263	32	y	y	PROPN
ejpam-3408	263	33	,	,	PUNCT
ejpam-3408	263	34	z	z	X
ejpam-3408	263	35	]	]	X
ejpam-3408	263	36	=	=	SYM
ejpam-3408	263	37	0	0	X
ejpam-3408	263	38	.	.	PUNCT
ejpam-3408	264	1	kleinfeld	kleinfeld	PROPN
ejpam-3408	265	1	[	[	X
ejpam-3408	265	2	135	135	NUM
ejpam-3408	265	3	]	]	PUNCT
ejpam-3408	265	4	in	in	ADP
ejpam-3408	265	5	1953	1953	NUM
ejpam-3408	265	6	proved	prove	VERB
ejpam-3408	265	7	that	that	SCONJ
ejpam-3408	265	8	even	even	ADV
ejpam-3408	265	9	simplicity	simplicity	NOUN
ejpam-3408	265	10	(	(	PUNCT
ejpam-3408	265	11	that	that	PRON
ejpam-3408	265	12	is	is	ADV
ejpam-3408	265	13	,	,	PUNCT
ejpam-3408	265	14	not	not	PART
ejpam-3408	265	15	having	have	VERB
ejpam-3408	265	16	two	two	NUM
ejpam-3408	265	17	-	-	PUNCT
ejpam-3408	265	18	sided	sided	ADJ
ejpam-3408	265	19	ideals	ideal	NOUN
ejpam-3408	265	20	)	)	PUNCT
ejpam-3408	265	21	of	of	ADP
ejpam-3408	265	22	an	an	DET
ejpam-3408	265	23	alternative	alternative	NOUN
ejpam-3408	265	24	but	but	CCONJ
ejpam-3408	265	25	not	not	PART
ejpam-3408	265	26	associative	associative	ADJ
ejpam-3408	265	27	ring	ring	NOUN
ejpam-3408	265	28	implies	imply	VERB
ejpam-3408	265	29	that	that	SCONJ
ejpam-3408	265	30	the	the	DET
ejpam-3408	265	31	ring	ring	NOUN
ejpam-3408	265	32	is	be	AUX
ejpam-3408	265	33	a	a	DET
ejpam-3408	265	34	cayley	cayley	ADJ
ejpam-3408	265	35	-	-	PUNCT
ejpam-3408	265	36	dickson	dickson	PROPN
ejpam-3408	265	37	algebra	algebra	PROPN
ejpam-3408	265	38	.	.	PUNCT
ejpam-3408	266	1	in	in	ADP
ejpam-3408	266	2	1953	1953	NUM
ejpam-3408	266	3	,	,	PUNCT
ejpam-3408	266	4	kleineelo	kleineelo	VERB
ejpam-3408	266	5	[	[	X
ejpam-3408	266	6	133	133	NUM
ejpam-3408	266	7	]	]	PUNCT
ejpam-3408	266	8	proved	prove	VERB
ejpam-3408	266	9	that	that	SCONJ
ejpam-3408	266	10	right	right	ADJ
ejpam-3408	266	11	alternative	alternative	ADJ
ejpam-3408	266	12	rings	ring	NOUN
ejpam-3408	266	13	without	without	ADP
ejpam-3408	266	14	nilpotent	nilpotent	ADJ
ejpam-3408	266	15	elements	element	NOUN
ejpam-3408	266	16	are	be	AUX
ejpam-3408	266	17	known	know	VERB
ejpam-3408	266	18	to	to	PART
ejpam-3408	266	19	be	be	AUX
ejpam-3408	266	20	alternative	alternative	ADJ
ejpam-3408	266	21	it	it	PRON
ejpam-3408	266	22	follows	follow	VERB
ejpam-3408	266	23	that	that	SCONJ
ejpam-3408	266	24	free	free	ADJ
ejpam-3408	266	25	right	right	ADJ
ejpam-3408	266	26	alternative	alternative	ADJ
ejpam-3408	266	27	rings	ring	NOUN
ejpam-3408	266	28	with	with	ADP
ejpam-3408	266	29	two	two	NUM
ejpam-3408	266	30	or	or	CCONJ
ejpam-3408	266	31	more	more	ADJ
ejpam-3408	266	32	generators	generator	NOUN
ejpam-3408	266	33	have	have	VERB
ejpam-3408	266	34	non	non	ADJ
ejpam-3408	266	35	-	-	ADJ
ejpam-3408	266	36	zero	zero	ADJ
ejpam-3408	266	37	nilpotent	nilpotent	ADJ
ejpam-3408	266	38	elements	element	NOUN
ejpam-3408	266	39	.	.	PUNCT
ejpam-3408	267	1	in	in	ADP
ejpam-3408	267	2	1955	1955	NUM
ejpam-3408	267	3	,	,	PUNCT
ejpam-3408	267	4	kleinfeld	kleinfeld	VERB
ejpam-3408	268	1	[	[	X
ejpam-3408	268	2	136	136	NUM
ejpam-3408	268	3	]	]	PUNCT
ejpam-3408	268	4	strengthened	strengthen	VERB
ejpam-3408	268	5	his	his	PRON
ejpam-3408	268	6	results	result	NOUN
ejpam-3408	268	7	by	by	ADP
ejpam-3408	268	8	proving	prove	VERB
ejpam-3408	268	9	that	that	SCONJ
ejpam-3408	268	10	any	any	DET
ejpam-3408	268	11	alternative	alternative	NOUN
ejpam-3408	268	12	but	but	CCONJ
ejpam-3408	268	13	not	not	PART
ejpam-3408	268	14	associative	associative	ADJ
ejpam-3408	268	15	ring	ring	NOUN
ejpam-3408	268	16	,	,	PUNCT
ejpam-3408	268	17	in	in	ADP
ejpam-3408	268	18	which	which	PRON
ejpam-3408	268	19	the	the	DET
ejpam-3408	268	20	intersection	intersection	NOUN
ejpam-3408	268	21	of	of	ADP
ejpam-3408	268	22	all	all	DET
ejpam-3408	268	23	the	the	DET
ejpam-3408	268	24	two	two	NUM
ejpam-3408	268	25	-	-	PUNCT
ejpam-3408	268	26	sided	sided	ADJ
ejpam-3408	268	27	ideals	ideal	NOUN
ejpam-3408	268	28	is	be	AUX
ejpam-3408	268	29	not	not	PART
ejpam-3408	268	30	a	a	DET
ejpam-3408	268	31	nil	nil	ADJ
ejpam-3408	268	32	ideal	ideal	NOUN
ejpam-3408	268	33	,	,	PUNCT
ejpam-3408	268	34	is	be	AUX
ejpam-3408	268	35	cayley	cayley	ADJ
ejpam-3408	268	36	-	-	PUNCT
ejpam-3408	268	37	dickson	dickson	NOUN
ejpam-3408	268	38	algebra	algebra	NOUN
ejpam-3408	268	39	over	over	ADP
ejpam-3408	268	40	some	some	DET
ejpam-3408	268	41	field	field	NOUN
ejpam-3408	268	42	.	.	PUNCT
ejpam-3408	269	1	hence	hence	ADV
ejpam-3408	269	2	the	the	DET
ejpam-3408	269	3	class	class	NOUN
ejpam-3408	269	4	of	of	ADP
ejpam-3408	269	5	alternative	alternative	ADJ
ejpam-3408	269	6	rings	ring	NOUN
ejpam-3408	269	7	is	be	AUX
ejpam-3408	269	8	much	much	ADV
ejpam-3408	269	9	larger	large	ADJ
ejpam-3408	269	10	than	than	ADP
ejpam-3408	269	11	the	the	DET
ejpam-3408	269	12	class	class	NOUN
ejpam-3408	269	13	of	of	ADP
ejpam-3408	269	14	associative	associative	ADJ
ejpam-3408	269	15	rings	ring	NOUN
ejpam-3408	269	16	.	.	PUNCT
ejpam-3408	270	1	san	san	PROPN
ejpam-3408	270	2	soucie	soucie	NOUN
ejpam-3408	271	1	[	[	X
ejpam-3408	271	2	241	241	NUM
ejpam-3408	271	3	,	,	PUNCT
ejpam-3408	271	4	242	242	NUM
ejpam-3408	271	5	]	]	PUNCT
ejpam-3408	271	6	in	in	ADP
ejpam-3408	271	7	1955	1955	NUM
ejpam-3408	271	8	studied	study	VERB
ejpam-3408	271	9	alternative	alternative	ADJ
ejpam-3408	271	10	and	and	CCONJ
ejpam-3408	271	11	right	right	ADJ
ejpam-3408	271	12	alternative	alternative	ADJ
ejpam-3408	271	13	rings	ring	NOUN
ejpam-3408	271	14	in	in	ADP
ejpam-3408	271	15	characteristic	characteristic	ADJ
ejpam-3408	271	16	2	2	NUM
ejpam-3408	271	17	(	(	PUNCT
ejpam-3408	271	18	2x	2x	NUM
ejpam-3408	271	19	=	=	SYM
ejpam-3408	271	20	0	0	NUM
ejpam-3408	271	21	)	)	PUNCT
ejpam-3408	271	22	and	and	CCONJ
ejpam-3408	271	23	also	also	ADV
ejpam-3408	271	24	proved	prove	VERB
ejpam-3408	271	25	that	that	SCONJ
ejpam-3408	271	26	if	if	SCONJ
ejpam-3408	271	27	r	r	NOUN
ejpam-3408	271	28	is	be	AUX
ejpam-3408	271	29	right	right	ADJ
ejpam-3408	271	30	alternative	alternative	ADJ
ejpam-3408	271	31	division	division	NOUN
ejpam-3408	271	32	ring	ring	NOUN
ejpam-3408	271	33	of	of	ADP
ejpam-3408	271	34	characteristic	characteristic	ADJ
ejpam-3408	271	35	two	two	NUM
ejpam-3408	271	36	.	.	PUNCT
ejpam-3408	272	1	then	then	ADV
ejpam-3408	272	2	r	r	NOUN
ejpam-3408	272	3	is	be	AUX
ejpam-3408	272	4	alternative	alternative	ADJ
ejpam-3408	272	5	if	if	SCONJ
ejpam-3408	273	1	and	and	CCONJ
ejpam-3408	273	2	only	only	ADV
ejpam-3408	273	3	if	if	SCONJ
ejpam-3408	273	4	r	r	NOUN
ejpam-3408	273	5	satisfies	satisfy	VERB
ejpam-3408	273	6	w(xy−x	w(xy−x	NOUN
ejpam-3408	273	7	)	)	PUNCT
ejpam-3408	274	1	=	=	SYM
ejpam-3408	274	2	(	(	PUNCT
ejpam-3408	274	3	wx−y)x	wx−y)x	NOUN
ejpam-3408	274	4	.	.	PUNCT
ejpam-3408	275	1	in	in	ADP
ejpam-3408	275	2	1957	1957	NUM
ejpam-3408	275	3	,	,	PUNCT
ejpam-3408	275	4	kleinfeld	kleinfeld	VERB
ejpam-3408	276	1	[	[	X
ejpam-3408	276	2	240	240	NUM
ejpam-3408	276	3	]	]	PUNCT
ejpam-3408	276	4	proved	prove	VERB
ejpam-3408	276	5	very	very	ADV
ejpam-3408	276	6	interesting	interesting	ADJ
ejpam-3408	276	7	identity	identity	NOUN
ejpam-3408	276	8	:	:	PUNCT
ejpam-3408	277	1	[	[	X
ejpam-3408	277	2	(	(	PUNCT
ejpam-3408	277	3	ab	ab	PROPN
ejpam-3408	277	4	−	−	PROPN
ejpam-3408	277	5	ba)2	ba)2	PROPN
ejpam-3408	277	6	,	,	PUNCT
ejpam-3408	277	7	c	c	X
ejpam-3408	277	8	,	,	PUNCT
ejpam-3408	277	9	d](ab	d](ab	PROPN
ejpam-3408	277	10	−	−	PROPN
ejpam-3408	277	11	ba	ba	NOUN
ejpam-3408	277	12	)	)	PUNCT
ejpam-3408	277	13	=	=	SYM
ejpam-3408	277	14	0	0	PUNCT
ejpam-3408	278	1	and	and	CCONJ
ejpam-3408	278	2	he	he	PRON
ejpam-3408	278	3	also	also	ADV
ejpam-3408	278	4	showed	show	VERB
ejpam-3408	278	5	that	that	SCONJ
ejpam-3408	278	6	in	in	ADP
ejpam-3408	278	7	the	the	DET
ejpam-3408	278	8	free	free	ADJ
ejpam-3408	278	9	alternative	alternative	ADJ
ejpam-3408	278	10	ring	ring	NOUN
ejpam-3408	278	11	there	there	PRON
ejpam-3408	278	12	are	be	VERB
ejpam-3408	278	13	zero	zero	NUM
ejpam-3408	278	14	divisors	divisor	NOUN
ejpam-3408	278	15	.	.	PUNCT
ejpam-3408	279	1	smiley	smiley	NOUN
ejpam-3408	279	2	[	[	X
ejpam-3408	279	3	239	239	NUM
ejpam-3408	279	4	]	]	PUNCT
ejpam-3408	279	5	in	in	ADP
ejpam-3408	279	6	1957	1957	NUM
ejpam-3408	279	7	analyzed	analyze	VERB
ejpam-3408	279	8	the	the	DET
ejpam-3408	279	9	proof	proof	NOUN
ejpam-3408	279	10	of	of	ADP
ejpam-3408	279	11	kleinfeld	kleinfeld	PROPN
ejpam-3408	279	12	and	and	CCONJ
ejpam-3408	279	13	noticed	notice	VERB
ejpam-3408	279	14	that	that	SCONJ
ejpam-3408	279	15	it	it	PRON
ejpam-3408	279	16	is	be	AUX
ejpam-3408	279	17	sufficient	sufficient	ADJ
ejpam-3408	279	18	to	to	PART
ejpam-3408	279	19	check	check	VERB
ejpam-3408	279	20	only	only	ADV
ejpam-3408	279	21	these	these	DET
ejpam-3408	279	22	cases	case	NOUN
ejpam-3408	279	23	:	:	PUNCT
ejpam-3408	279	24	x	x	SYM
ejpam-3408	279	25	=	=	SYM
ejpam-3408	279	26	y	y	PROPN
ejpam-3408	279	27	,	,	PUNCT
ejpam-3408	279	28	x	x	X
ejpam-3408	279	29	=	=	PUNCT
ejpam-3408	279	30	yz	yz	PROPN
ejpam-3408	279	31	−	−	PROPN
ejpam-3408	279	32	zy	zy	PROPN
ejpam-3408	279	33	,	,	PUNCT
ejpam-3408	279	34	x	x	X
ejpam-3408	279	35	=	=	PRON
ejpam-3408	279	36	(	(	PUNCT
ejpam-3408	279	37	yz	yz	PROPN
ejpam-3408	279	38	−	−	PROPN
ejpam-3408	279	39	zy)y	zy)y	PROPN
ejpam-3408	279	40	,	,	PUNCT
ejpam-3408	279	41	x	x	PUNCT
ejpam-3408	280	1	=	=	PUNCT
ejpam-3408	281	1	[	[	X
ejpam-3408	281	2	y	y	PROPN
ejpam-3408	281	3	,	,	PUNCT
ejpam-3408	281	4	y	y	PROPN
ejpam-3408	281	5	,	,	PUNCT
ejpam-3408	281	6	z	z	NOUN
ejpam-3408	281	7	]	]	X
ejpam-3408	281	8	,	,	PUNCT
ejpam-3408	281	9	or	or	CCONJ
ejpam-3408	281	10	z	z	X
ejpam-3408	281	11	=	=	SYM
ejpam-3408	281	12	wy	wy	PROPN
ejpam-3408	281	13	and	and	CCONJ
ejpam-3408	281	14	x	x	PUNCT
ejpam-3408	281	15	=	=	PUNCT
ejpam-3408	282	1	[	[	X
ejpam-3408	282	2	y	y	PROPN
ejpam-3408	282	3	,	,	PUNCT
ejpam-3408	282	4	y	y	PROPN
ejpam-3408	282	5	,	,	PUNCT
ejpam-3408	282	6	w	w	PROPN
ejpam-3408	282	7	]	]	PUNCT
ejpam-3408	282	8	for	for	SCONJ
ejpam-3408	282	9	some	some	DET
ejpam-3408	282	10	w.	w.	NOUN
ejpam-3408	282	11	to	to	PART
ejpam-3408	282	12	study	study	VERB
ejpam-3408	282	13	of	of	ADP
ejpam-3408	282	14	free	free	ADJ
ejpam-3408	282	15	right	right	ADJ
ejpam-3408	282	16	alternative	alternative	ADJ
ejpam-3408	282	17	rings	ring	NOUN
ejpam-3408	282	18	he	he	PRON
ejpam-3408	282	19	said	say	VERB
ejpam-3408	282	20	that	that	SCONJ
ejpam-3408	282	21	it	it	PRON
ejpam-3408	282	22	was	be	AUX
ejpam-3408	282	23	one	one	NUM
ejpam-3408	282	24	of	of	ADP
ejpam-3408	282	25	the	the	DET
ejpam-3408	282	26	main	main	ADJ
ejpam-3408	282	27	tasks	task	NOUN
ejpam-3408	282	28	of	of	ADP
ejpam-3408	282	29	the	the	DET
ejpam-3408	282	30	theory	theory	NOUN
ejpam-3408	282	31	of	of	ADP
ejpam-3408	282	32	alternative	alternative	ADJ
ejpam-3408	282	33	rings	ring	NOUN
ejpam-3408	282	34	.	.	PUNCT
ejpam-3408	283	1	in	in	ADP
ejpam-3408	283	2	1960	1960	NUM
ejpam-3408	283	3	,	,	PUNCT
ejpam-3408	283	4	hashimoto	hashimoto	NOUN
ejpam-3408	283	5	[	[	X
ejpam-3408	283	6	80	80	NUM
ejpam-3408	283	7	]	]	PUNCT
ejpam-3408	283	8	introduced	introduce	VERB
ejpam-3408	283	9	the	the	DET
ejpam-3408	283	10	notion	notion	NOUN
ejpam-3408	283	11	of	of	ADP
ejpam-3408	283	12	∗modularity	∗modularity	NOUN
ejpam-3408	283	13	of	of	ADP
ejpam-3408	283	14	right	right	ADJ
ejpam-3408	283	15	ideals	ideal	NOUN
ejpam-3408	283	16	of	of	ADP
ejpam-3408	283	17	an	an	DET
ejpam-3408	283	18	alternative	alternative	ADJ
ejpam-3408	283	19	rings	ring	NOUN
ejpam-3408	283	20	and	and	CCONJ
ejpam-3408	283	21	showed	show	VERB
ejpam-3408	283	22	a	a	DET
ejpam-3408	283	23	connection	connection	NOUN
ejpam-3408	283	24	between	between	ADP
ejpam-3408	283	25	the	the	DET
ejpam-3408	283	26	intersection	intersection	NOUN
ejpam-3408	283	27	of	of	ADP
ejpam-3408	283	28	all	all	DET
ejpam-3408	283	29	the	the	DET
ejpam-3408	283	30	∗modular	∗modular	PROPN
ejpam-3408	283	31	maximal	maximal	ADJ
ejpam-3408	283	32	right	right	ADJ
ejpam-3408	283	33	ideals	ideal	NOUN
ejpam-3408	283	34	and	and	CCONJ
ejpam-3408	283	35	the	the	DET
ejpam-3408	283	36	radical	radical	ADJ
ejpam-3408	283	37	sr(a	sr(a	NOUN
ejpam-3408	283	38	)	)	PUNCT
ejpam-3408	283	39	in	in	ADP
ejpam-3408	283	40	an	an	DET
ejpam-3408	283	41	alternative	alternative	ADJ
ejpam-3408	283	42	ring	ring	NOUN
ejpam-3408	283	43	a.	a.	NOUN
ejpam-3408	283	44	in	in	ADP
ejpam-3408	283	45	1963	1963	NUM
ejpam-3408	283	46	,	,	PUNCT
ejpam-3408	283	47	it	it	PRON
ejpam-3408	283	48	was	be	AUX
ejpam-3408	283	49	shown	show	VERB
ejpam-3408	283	50	by	by	ADP
ejpam-3408	283	51	kleinfeld	kleinfeld	PROPN
ejpam-3408	284	1	[	[	X
ejpam-3408	284	2	137	137	NUM
ejpam-3408	284	3	]	]	PUNCT
ejpam-3408	284	4	that	that	SCONJ
ejpam-3408	284	5	in	in	ADP
ejpam-3408	284	6	an	an	DET
ejpam-3408	284	7	arbitrary	arbitrary	ADJ
ejpam-3408	284	8	alternative	alternative	NOUN
ejpam-3408	284	9	ring	ring	NOUN
ejpam-3408	284	10	the	the	DET
ejpam-3408	284	11	fourth	fourth	ADJ
ejpam-3408	284	12	power	power	NOUN
ejpam-3408	284	13	of	of	ADP
ejpam-3408	284	14	every	every	DET
ejpam-3408	284	15	commutator	commutator	NOUN
ejpam-3408	284	16	lies	lie	VERB
ejpam-3408	284	17	in	in	ADP
ejpam-3408	284	18	the	the	DET
ejpam-3408	284	19	nucleus	nucleus	NOUN
ejpam-3408	284	20	.	.	PUNCT
ejpam-3408	285	1	also	also	ADV
ejpam-3408	285	2	dorofeev	dorofeev	VERB
ejpam-3408	285	3	[	[	X
ejpam-3408	285	4	41	41	NUM
ejpam-3408	285	5	]	]	PUNCT
ejpam-3408	285	6	in	in	ADP
ejpam-3408	285	7	1963	1963	NUM
ejpam-3408	285	8	proved	prove	VERB
ejpam-3408	285	9	that	that	SCONJ
ejpam-3408	285	10	in	in	ADP
ejpam-3408	285	11	a	a	DET
ejpam-3408	285	12	free	free	ADJ
ejpam-3408	285	13	alternative	alternative	ADJ
ejpam-3408	285	14	ring	ring	NOUN
ejpam-3408	285	15	with	with	ADP
ejpam-3408	285	16	six	six	NUM
ejpam-3408	285	17	or	or	CCONJ
ejpam-3408	285	18	more	more	ADJ
ejpam-3408	285	19	generators	generator	NOUN
ejpam-3408	285	20	there	there	PRON
ejpam-3408	285	21	exist	exist	VERB
ejpam-3408	285	22	elements	element	NOUN
ejpam-3408	285	23	a	a	DET
ejpam-3408	285	24	,	,	PUNCT
ejpam-3408	285	25	b	b	NOUN
ejpam-3408	285	26	,	,	PUNCT
ejpam-3408	285	27	c	c	NOUN
ejpam-3408	285	28	,	,	PUNCT
ejpam-3408	285	29	d	d	NOUN
ejpam-3408	285	30	,	,	PUNCT
ejpam-3408	285	31	r	r	NOUN
ejpam-3408	285	32	,	,	PUNCT
ejpam-3408	285	33	s	s	VERB
ejpam-3408	285	34	such	such	ADJ
ejpam-3408	285	35	that	that	SCONJ
ejpam-3408	285	36	(	(	PUNCT
ejpam-3408	285	37	(	(	PUNCT
ejpam-3408	285	38	a	a	PRON
ejpam-3408	285	39	,	,	PUNCT
ejpam-3408	285	40	b)(c	b)(c	ADJ
ejpam-3408	285	41	,	,	PUNCT
ejpam-3408	285	42	d	d	NOUN
ejpam-3408	285	43	)	)	PUNCT
ejpam-3408	286	1	+	+	CCONJ
ejpam-3408	286	2	(	(	PUNCT
ejpam-3408	286	3	c	c	X
ejpam-3408	286	4	,	,	PUNCT
ejpam-3408	286	5	d)(a	d)(a	PROPN
ejpam-3408	286	6	,	,	PUNCT
ejpam-3408	286	7	b	b	NOUN
ejpam-3408	286	8	)	)	PUNCT
ejpam-3408	286	9	,	,	PUNCT
ejpam-3408	286	10	r	r	NOUN
ejpam-3408	286	11	,	,	PUNCT
ejpam-3408	286	12	s	s	NOUN
ejpam-3408	286	13	)	)	PUNCT
ejpam-3408	286	14	6=	6=	ADP
ejpam-3408	286	15	0	0	X
ejpam-3408	286	16	.	.	PUNCT
ejpam-3408	287	1	in	in	ADP
ejpam-3408	287	2	1965	1965	NUM
ejpam-3408	287	3	,	,	PUNCT
ejpam-3408	287	4	slater	slater	NOUN
ejpam-3408	288	1	[	[	X
ejpam-3408	288	2	226	226	NUM
ejpam-3408	288	3	]	]	PUNCT
ejpam-3408	288	4	asserted	assert	VERB
ejpam-3408	288	5	that	that	SCONJ
ejpam-3408	288	6	a	a	DET
ejpam-3408	288	7	prime	prime	ADJ
ejpam-3408	288	8	alternative	alternative	NOUN
ejpam-3408	288	9	ring	ring	NOUN
ejpam-3408	288	10	r	r	NOUN
ejpam-3408	288	11	of	of	ADP
ejpam-3408	288	12	characteristic	characteristic	ADJ
ejpam-3408	288	13	not	not	PART
ejpam-3408	288	14	3	3	NUM
ejpam-3408	288	15	that	that	PRON
ejpam-3408	288	16	is	be	AUX
ejpam-3408	288	17	not	not	PART
ejpam-3408	288	18	associative	associative	ADJ
ejpam-3408	288	19	can	can	AUX
ejpam-3408	288	20	be	be	AUX
ejpam-3408	288	21	embedded	embed	VERB
ejpam-3408	288	22	in	in	ADP
ejpam-3408	288	23	a	a	DET
ejpam-3408	288	24	cayley	cayley	ADJ
ejpam-3408	288	25	-	-	PUNCT
ejpam-3408	288	26	dickson	dickson	PROPN
ejpam-3408	288	27	algebra	algebra	NOUN
ejpam-3408	288	28	over	over	ADP
ejpam-3408	288	29	the	the	DET
ejpam-3408	288	30	quotient	quotient	NOUN
ejpam-3408	288	31	field	field	NOUN
ejpam-3408	288	32	of	of	ADP
ejpam-3408	288	33	the	the	DET
ejpam-3408	288	34	center	center	NOUN
ejpam-3408	288	35	of	of	ADP
ejpam-3408	288	36	r.	r.	PROPN
ejpam-3408	288	37	in	in	ADP
ejpam-3408	288	38	1967	1967	NUM
ejpam-3408	288	39	,	,	PUNCT
ejpam-3408	288	40	humm	humm	PROPN
ejpam-3408	289	1	[	[	X
ejpam-3408	289	2	100	100	NUM
ejpam-3408	289	3	]	]	PUNCT
ejpam-3408	289	4	discussed	discuss	VERB
ejpam-3408	289	5	a	a	DET
ejpam-3408	289	6	necessary	necessary	ADJ
ejpam-3408	289	7	and	and	CCONJ
ejpam-3408	289	8	sufficient	sufficient	ADJ
ejpam-3408	289	9	condition	condition	NOUN
ejpam-3408	289	10	for	for	ADP
ejpam-3408	289	11	a	a	DET
ejpam-3408	289	12	simple	simple	ADJ
ejpam-3408	289	13	right	right	ADJ
ejpam-3408	289	14	alternative	alternative	ADJ
ejpam-3408	289	15	ring	ring	NOUN
ejpam-3408	289	16	to	to	PART
ejpam-3408	289	17	be	be	AUX
ejpam-3408	289	18	alternative	alternative	ADJ
ejpam-3408	289	19	.	.	PUNCT
ejpam-3408	290	1	he	he	PRON
ejpam-3408	290	2	assumed	assume	VERB
ejpam-3408	290	3	that	that	SCONJ
ejpam-3408	290	4	the	the	DET
ejpam-3408	290	5	characteristic	characteristic	NOUN
ejpam-3408	290	6	is	be	AUX
ejpam-3408	290	7	not	not	PART
ejpam-3408	290	8	2	2	NUM
ejpam-3408	290	9	or	or	CCONJ
ejpam-3408	290	10	3	3	NUM
ejpam-3408	290	11	in	in	ADP
ejpam-3408	290	12	all	all	DET
ejpam-3408	290	13	that	that	DET
ejpam-3408	290	14	a.	a.	NOUN
ejpam-3408	290	15	razzaque	razzaque	NOUN
ejpam-3408	290	16	et	et	PROPN
ejpam-3408	290	17	al	al	PROPN
ejpam-3408	290	18	.	.	PUNCT
ejpam-3408	290	19	/	/	SYM
ejpam-3408	290	20	eur	eur	PROPN
ejpam-3408	290	21	.	.	PUNCT
ejpam-3408	291	1	j.	j.	PROPN
ejpam-3408	291	2	pure	pure	PROPN
ejpam-3408	291	3	appl	appl	PROPN
ejpam-3408	291	4	.	.	PROPN
ejpam-3408	291	5	math	math	PROPN
ejpam-3408	291	6	,	,	PUNCT
ejpam-3408	291	7	12	12	NUM
ejpam-3408	291	8	(	(	PUNCT
ejpam-3408	291	9	2	2	NUM
ejpam-3408	291	10	)	)	PUNCT
ejpam-3408	291	11	(	(	PUNCT
ejpam-3408	291	12	2019	2019	NUM
ejpam-3408	291	13	)	)	PUNCT
ejpam-3408	291	14	,	,	PUNCT
ejpam-3408	291	15	370	370	NUM
ejpam-3408	291	16	-	-	SYM
ejpam-3408	291	17	408	408	NUM
ejpam-3408	291	18	379	379	NUM
ejpam-3408	291	19	follows	follow	VERB
ejpam-3408	291	20	.	.	PUNCT
ejpam-3408	292	1	the	the	DET
ejpam-3408	292	2	treatment	treatment	NOUN
ejpam-3408	292	3	required	require	VERB
ejpam-3408	292	4	an	an	DET
ejpam-3408	292	5	idempotent	idempotent	ADJ
ejpam-3408	292	6	e	e	NOUN
ejpam-3408	292	7	in	in	ADP
ejpam-3408	292	8	r	r	NOUN
ejpam-3408	292	9	and	and	CCONJ
ejpam-3408	292	10	used	use	VERB
ejpam-3408	292	11	the	the	DET
ejpam-3408	292	12	subspaces	subspace	NOUN
ejpam-3408	292	13	r1(e	r1(e	ADP
ejpam-3408	292	14	)	)	PUNCT
ejpam-3408	292	15	and	and	CCONJ
ejpam-3408	292	16	r0(e	r0(e	PROPN
ejpam-3408	292	17	)	)	PUNCT
ejpam-3408	292	18	of	of	ADP
ejpam-3408	292	19	the	the	DET
ejpam-3408	292	20	albert	albert	PROPN
ejpam-3408	292	21	decomposition	decomposition	NOUN
ejpam-3408	293	1	[	[	X
ejpam-3408	293	2	5	5	NUM
ejpam-3408	293	3	]	]	PUNCT
ejpam-3408	293	4	.	.	PUNCT
ejpam-3408	294	1	in	in	ADP
ejpam-3408	294	2	1967	1967	NUM
ejpam-3408	294	3	,	,	PUNCT
ejpam-3408	294	4	humm	humm	PROPN
ejpam-3408	294	5	and	and	CCONJ
ejpam-3408	294	6	kleinfeld	kleinfeld	VERB
ejpam-3408	294	7	[	[	X
ejpam-3408	294	8	101	101	NUM
ejpam-3408	294	9	]	]	PUNCT
ejpam-3408	294	10	investigated	investigate	VERB
ejpam-3408	294	11	that	that	SCONJ
ejpam-3408	294	12	with	with	ADP
ejpam-3408	294	13	the	the	DET
ejpam-3408	294	14	help	help	NOUN
ejpam-3408	294	15	of	of	ADP
ejpam-3408	294	16	an	an	DET
ejpam-3408	294	17	example	example	NOUN
ejpam-3408	294	18	that	that	SCONJ
ejpam-3408	294	19	square	square	NOUN
ejpam-3408	294	20	of	of	ADP
ejpam-3408	294	21	every	every	DET
ejpam-3408	294	22	commutator	commutator	NOUN
ejpam-3408	294	23	need	need	AUX
ejpam-3408	294	24	always	always	ADV
ejpam-3408	294	25	lie	lie	VERB
ejpam-3408	294	26	in	in	ADP
ejpam-3408	294	27	the	the	DET
ejpam-3408	294	28	nucleus	nucleus	NOUN
ejpam-3408	294	29	.	.	PUNCT
ejpam-3408	295	1	also	also	ADV
ejpam-3408	295	2	,	,	PUNCT
ejpam-3408	295	3	they	they	PRON
ejpam-3408	295	4	showed	show	VERB
ejpam-3408	295	5	the	the	DET
ejpam-3408	295	6	existence	existence	NOUN
ejpam-3408	295	7	of	of	ADP
ejpam-3408	295	8	specific	specific	ADJ
ejpam-3408	295	9	nilpotent	nilpotent	ADJ
ejpam-3408	295	10	elements	element	NOUN
ejpam-3408	295	11	in	in	ADP
ejpam-3408	295	12	the	the	DET
ejpam-3408	295	13	free	free	ADJ
ejpam-3408	295	14	alternative	alternative	ADJ
ejpam-3408	295	15	ring	ring	NOUN
ejpam-3408	295	16	on	on	ADP
ejpam-3408	295	17	four	four	NUM
ejpam-3408	295	18	or	or	CCONJ
ejpam-3408	295	19	more	more	ADJ
ejpam-3408	295	20	generators	generator	NOUN
ejpam-3408	295	21	,	,	PUNCT
ejpam-3408	295	22	and	and	CCONJ
ejpam-3408	295	23	proved	prove	VERB
ejpam-3408	295	24	abstractly	abstractly	ADV
ejpam-3408	295	25	the	the	DET
ejpam-3408	295	26	existence	existence	NOUN
ejpam-3408	295	27	of	of	ADP
ejpam-3408	295	28	an	an	DET
ejpam-3408	295	29	ideal	ideal	NOUN
ejpam-3408	295	30	i	i	PRON
ejpam-3408	295	31	6=	6=	PROPN
ejpam-3408	295	32	0	0	NUM
ejpam-3408	295	33	,	,	PUNCT
ejpam-3408	295	34	and	and	CCONJ
ejpam-3408	295	35	i2	i2	PROPN
ejpam-3408	295	36	=	=	SYM
ejpam-3408	295	37	0	0	PROPN
ejpam-3408	295	38	.	.	PUNCT
ejpam-3408	296	1	slater	slater	NOUN
ejpam-3408	297	1	[	[	X
ejpam-3408	297	2	227	227	NUM
ejpam-3408	297	3	]	]	PUNCT
ejpam-3408	297	4	in	in	ADP
ejpam-3408	297	5	1967	1967	NUM
ejpam-3408	297	6	in	in	ADP
ejpam-3408	297	7	his	his	PRON
ejpam-3408	297	8	paper	paper	NOUN
ejpam-3408	297	9	on	on	ADP
ejpam-3408	297	10	nucleus	nucleus	NOUN
ejpam-3408	297	11	and	and	CCONJ
ejpam-3408	297	12	center	center	NOUN
ejpam-3408	297	13	in	in	ADP
ejpam-3408	297	14	alternative	alternative	ADJ
ejpam-3408	297	15	rings	ring	NOUN
ejpam-3408	297	16	considered	consider	VERB
ejpam-3408	297	17	r	r	NOUN
ejpam-3408	297	18	is	be	AUX
ejpam-3408	297	19	any	any	DET
ejpam-3408	297	20	alternative	alternative	ADJ
ejpam-3408	297	21	ring	ring	NOUN
ejpam-3408	297	22	,	,	PUNCT
ejpam-3408	297	23	n	n	CCONJ
ejpam-3408	297	24	its	its	PRON
ejpam-3408	297	25	nucleus	nucleus	NOUN
ejpam-3408	297	26	and	and	CCONJ
ejpam-3408	297	27	z	z	NOUN
ejpam-3408	297	28	its	its	PRON
ejpam-3408	297	29	center	center	NOUN
ejpam-3408	297	30	.	.	PUNCT
ejpam-3408	298	1	moreover	moreover	ADV
ejpam-3408	298	2	,	,	PUNCT
ejpam-3408	298	3	he	he	PRON
ejpam-3408	298	4	investigated	investigate	VERB
ejpam-3408	298	5	the	the	DET
ejpam-3408	298	6	natural	natural	ADJ
ejpam-3408	298	7	conditions	condition	NOUN
ejpam-3408	298	8	on	on	ADP
ejpam-3408	298	9	r	r	NOUN
ejpam-3408	298	10	which	which	PRON
ejpam-3408	298	11	were	be	AUX
ejpam-3408	298	12	the	the	DET
ejpam-3408	298	13	weakest	weak	ADJ
ejpam-3408	298	14	possible	possible	ADJ
ejpam-3408	298	15	to	to	PART
ejpam-3408	298	16	ensure	ensure	VERB
ejpam-3408	298	17	.	.	PUNCT
ejpam-3408	299	1	also	also	ADV
ejpam-3408	299	2	applied	apply	VERB
ejpam-3408	299	3	the	the	DET
ejpam-3408	299	4	results	result	NOUN
ejpam-3408	299	5	to	to	PART
ejpam-3408	299	6	amplify	amplify	VERB
ejpam-3408	299	7	comments	comment	NOUN
ejpam-3408	299	8	by	by	ADP
ejpam-3408	299	9	humm	humm	NOUN
ejpam-3408	299	10	and	and	CCONJ
ejpam-3408	299	11	kleinfeld	kleinfeld	PROPN
ejpam-3408	299	12	work	work	NOUN
ejpam-3408	299	13	on	on	ADP
ejpam-3408	299	14	free	free	ADJ
ejpam-3408	299	15	alternative	alternative	ADJ
ejpam-3408	299	16	rings	ring	NOUN
ejpam-3408	299	17	and	and	CCONJ
ejpam-3408	299	18	contained	contain	VERB
ejpam-3408	299	19	examples	example	NOUN
ejpam-3408	299	20	of	of	ADP
ejpam-3408	299	21	alternative	alternative	ADJ
ejpam-3408	299	22	rings	ring	NOUN
ejpam-3408	299	23	.	.	PUNCT
ejpam-3408	300	1	slater	slater	NOUN
ejpam-3408	301	1	[	[	X
ejpam-3408	301	2	228	228	NUM
ejpam-3408	301	3	]	]	PUNCT
ejpam-3408	301	4	in	in	ADP
ejpam-3408	301	5	1968	1968	NUM
ejpam-3408	301	6	discussed	discuss	VERB
ejpam-3408	301	7	the	the	DET
ejpam-3408	301	8	ideals	ideal	NOUN
ejpam-3408	301	9	in	in	ADP
ejpam-3408	301	10	semiprime	semiprime	NOUN
ejpam-3408	301	11	alternative	alternative	NOUN
ejpam-3408	301	12	rings	ring	NOUN
ejpam-3408	301	13	and	and	CCONJ
ejpam-3408	301	14	also	also	ADV
ejpam-3408	301	15	the	the	DET
ejpam-3408	301	16	results	result	NOUN
ejpam-3408	301	17	of	of	ADP
ejpam-3408	301	18	the	the	DET
ejpam-3408	301	19	paper	paper	NOUN
ejpam-3408	301	20	,	,	PUNCT
ejpam-3408	301	21	so	so	ADV
ejpam-3408	301	22	far	far	ADV
ejpam-3408	301	23	concerned	concerned	ADJ
ejpam-3408	301	24	that	that	SCONJ
ejpam-3408	301	25	a	a	DET
ejpam-3408	301	26	given	give	VERB
ejpam-3408	301	27	right	right	ADJ
ejpam-3408	301	28	ideal	ideal	NOUN
ejpam-3408	301	29	a	a	PRON
ejpam-3408	301	30	,	,	PUNCT
ejpam-3408	301	31	did	do	AUX
ejpam-3408	301	32	not	not	PART
ejpam-3408	301	33	require	require	VERB
ejpam-3408	301	34	semiprimeness	semiprimeness	NOUN
ejpam-3408	301	35	of	of	ADP
ejpam-3408	301	36	r.	r.	PROPN
ejpam-3408	301	37	in	in	ADP
ejpam-3408	301	38	1969	1969	NUM
ejpam-3408	301	39	,	,	PUNCT
ejpam-3408	301	40	kleinfeld	kleinfeld	VERB
ejpam-3408	302	1	[	[	X
ejpam-3408	302	2	139	139	NUM
ejpam-3408	302	3	]	]	PUNCT
ejpam-3408	302	4	worked	work	VERB
ejpam-3408	302	5	on	on	ADP
ejpam-3408	302	6	right	right	ADJ
ejpam-3408	302	7	alternative	alternative	ADJ
ejpam-3408	302	8	rings	ring	NOUN
ejpam-3408	302	9	without	without	ADP
ejpam-3408	302	10	proper	proper	ADJ
ejpam-3408	302	11	right	right	ADJ
ejpam-3408	302	12	ideals	ideal	NOUN
ejpam-3408	302	13	he	he	PRON
ejpam-3408	302	14	showed	show	VERB
ejpam-3408	302	15	that	that	SCONJ
ejpam-3408	302	16	a	a	DET
ejpam-3408	302	17	right	right	ADJ
ejpam-3408	302	18	alternative	alternative	ADJ
ejpam-3408	302	19	ring	ring	NOUN
ejpam-3408	302	20	r	r	NOUN
ejpam-3408	302	21	without	without	ADP
ejpam-3408	302	22	proper	proper	ADJ
ejpam-3408	302	23	right	right	ADJ
ejpam-3408	302	24	ideals	ideal	NOUN
ejpam-3408	302	25	,	,	PUNCT
ejpam-3408	302	26	of	of	ADP
ejpam-3408	302	27	characteristic	characteristic	ADJ
ejpam-3408	302	28	not	not	PART
ejpam-3408	302	29	two	two	NUM
ejpam-3408	302	30	,	,	PUNCT
ejpam-3408	302	31	containing	contain	VERB
ejpam-3408	302	32	idempotents	idempotent	NOUN
ejpam-3408	302	33	e	e	NOUN
ejpam-3408	302	34	and	and	CCONJ
ejpam-3408	302	35	1,e	1,e	NUM
ejpam-3408	302	36	6=	6=	ADP
ejpam-3408	302	37	1	1	NUM
ejpam-3408	302	38	,	,	PUNCT
ejpam-3408	302	39	such	such	ADJ
ejpam-3408	302	40	that	that	SCONJ
ejpam-3408	302	41	ex	ex	X
ejpam-3408	302	42	=	=	SYM
ejpam-3408	302	43	e(ex	e(ex	NOUN
ejpam-3408	302	44	)	)	PUNCT
ejpam-3408	302	45	for	for	SCONJ
ejpam-3408	302	46	all	all	PRON
ejpam-3408	302	47	x	x	SYM
ejpam-3408	302	48	∈	∈	NOUN
ejpam-3408	302	49	r	r	NOUN
ejpam-3408	302	50	must	must	AUX
ejpam-3408	302	51	be	be	AUX
ejpam-3408	302	52	alternative	alternative	ADJ
ejpam-3408	302	53	and	and	CCONJ
ejpam-3408	302	54	hence	hence	ADV
ejpam-3408	302	55	a	a	DET
ejpam-3408	302	56	cayley	cayley	ADJ
ejpam-3408	302	57	vector	vector	NOUN
ejpam-3408	302	58	matrix	matrix	NOUN
ejpam-3408	302	59	algebra	algebra	NOUN
ejpam-3408	302	60	of	of	ADP
ejpam-3408	302	61	dimension	dimension	NOUN
ejpam-3408	302	62	8	8	NUM
ejpam-3408	302	63	over	over	ADP
ejpam-3408	302	64	its	its	PRON
ejpam-3408	302	65	center	center	NOUN
ejpam-3408	302	66	.	.	PUNCT
ejpam-3408	303	1	moreover	moreover	ADV
ejpam-3408	303	2	,	,	PUNCT
ejpam-3408	303	3	slater	slater	NOUN
ejpam-3408	304	1	[	[	X
ejpam-3408	304	2	229	229	NUM
ejpam-3408	304	3	]	]	PUNCT
ejpam-3408	304	4	in	in	ADP
ejpam-3408	304	5	1969	1969	NUM
ejpam-3408	304	6	,	,	PUNCT
ejpam-3408	304	7	proved	prove	VERB
ejpam-3408	304	8	the	the	DET
ejpam-3408	304	9	natural	natural	ADJ
ejpam-3408	304	10	extension	extension	NOUN
ejpam-3408	304	11	to	to	ADP
ejpam-3408	304	12	arbitrary	arbitrary	ADJ
ejpam-3408	304	13	rings	ring	NOUN
ejpam-3408	304	14	of	of	ADP
ejpam-3408	304	15	the	the	DET
ejpam-3408	304	16	classical	classical	ADJ
ejpam-3408	304	17	wedderburn	wedderburn	NOUN
ejpam-3408	304	18	-	-	PUNCT
ejpam-3408	304	19	artin	artin	NOUN
ejpam-3408	304	20	theorem	theorem	VERB
ejpam-3408	304	21	for	for	ADP
ejpam-3408	304	22	associative	associative	ADJ
ejpam-3408	304	23	ones	one	NOUN
ejpam-3408	304	24	.	.	PUNCT
ejpam-3408	305	1	also	also	ADV
ejpam-3408	305	2	considered	consider	VERB
ejpam-3408	305	3	the	the	DET
ejpam-3408	305	4	special	special	ADJ
ejpam-3408	305	5	case	case	NOUN
ejpam-3408	305	6	where	where	SCONJ
ejpam-3408	305	7	r	r	NOUN
ejpam-3408	305	8	is	be	AUX
ejpam-3408	305	9	in	in	ADP
ejpam-3408	305	10	addition	addition	NOUN
ejpam-3408	305	11	purely	purely	ADV
ejpam-3408	305	12	alternative	alternative	ADJ
ejpam-3408	305	13	;	;	PUNCT
ejpam-3408	305	14	that	that	PRON
ejpam-3408	305	15	is	is	ADV
ejpam-3408	305	16	,	,	PUNCT
ejpam-3408	305	17	has	have	VERB
ejpam-3408	305	18	no	no	DET
ejpam-3408	305	19	nonzero	nonzero	ADJ
ejpam-3408	305	20	nuclear	nuclear	ADJ
ejpam-3408	305	21	ideals	ideal	NOUN
ejpam-3408	305	22	.	.	PUNCT
ejpam-3408	306	1	he	he	PRON
ejpam-3408	306	2	also	also	ADV
ejpam-3408	306	3	listed	list	VERB
ejpam-3408	306	4	virtually	virtually	ADV
ejpam-3408	306	5	all	all	DET
ejpam-3408	306	6	the	the	DET
ejpam-3408	306	7	radicals	radical	NOUN
ejpam-3408	306	8	that	that	PRON
ejpam-3408	306	9	have	have	AUX
ejpam-3408	306	10	been	be	AUX
ejpam-3408	306	11	proposed	propose	VERB
ejpam-3408	306	12	for	for	ADP
ejpam-3408	306	13	(	(	PUNCT
ejpam-3408	306	14	alternative	alternative	ADJ
ejpam-3408	306	15	)	)	PUNCT
ejpam-3408	306	16	rings	ring	NOUN
ejpam-3408	306	17	in	in	ADP
ejpam-3408	306	18	the	the	DET
ejpam-3408	306	19	literature	literature	NOUN
ejpam-3408	306	20	,	,	PUNCT
ejpam-3408	306	21	and	and	CCONJ
ejpam-3408	306	22	showed	show	VERB
ejpam-3408	306	23	that	that	SCONJ
ejpam-3408	306	24	on	on	ADP
ejpam-3408	306	25	the	the	DET
ejpam-3408	306	26	class	class	NOUN
ejpam-3408	306	27	of	of	ADP
ejpam-3408	306	28	rings	ring	NOUN
ejpam-3408	306	29	with	with	ADP
ejpam-3408	306	30	d.c.c	d.c.c	NOUN
ejpam-3408	306	31	.	.	PUNCT
ejpam-3408	307	1	they	they	PRON
ejpam-3408	307	2	all	all	DET
ejpam-3408	307	3	coincide	coincide	VERB
ejpam-3408	307	4	.	.	PUNCT
ejpam-3408	308	1	also	also	ADV
ejpam-3408	308	2	he	he	PRON
ejpam-3408	308	3	discussed	discuss	VERB
ejpam-3408	308	4	analogous	analogous	ADJ
ejpam-3408	308	5	for	for	ADP
ejpam-3408	308	6	arbitrary	arbitrary	ADJ
ejpam-3408	308	7	rings	ring	NOUN
ejpam-3408	308	8	with	with	ADP
ejpam-3408	308	9	d.c.c	d.c.c	NOUN
ejpam-3408	308	10	.	.	PUNCT
ejpam-3408	309	1	of	of	ADP
ejpam-3408	309	2	the	the	DET
ejpam-3408	309	3	classical	classical	ADJ
ejpam-3408	309	4	results	result	NOUN
ejpam-3408	309	5	concerning	concern	VERB
ejpam-3408	309	6	idempotents	idempotent	NOUN
ejpam-3408	309	7	in	in	ADP
ejpam-3408	309	8	associative	associative	ADJ
ejpam-3408	309	9	rings	ring	NOUN
ejpam-3408	309	10	with	with	ADP
ejpam-3408	309	11	d.c.c	d.c.c	NOUN
ejpam-3408	309	12	.	.	PUNCT
ejpam-3408	310	1	in	in	ADP
ejpam-3408	310	2	1970	1970	NUM
ejpam-3408	310	3	,	,	PUNCT
ejpam-3408	310	4	slater	slater	NOUN
ejpam-3408	311	1	[	[	X
ejpam-3408	311	2	231	231	NUM
ejpam-3408	311	3	]	]	PUNCT
ejpam-3408	311	4	discussed	discuss	VERB
ejpam-3408	311	5	the	the	DET
ejpam-3408	311	6	class	class	NOUN
ejpam-3408	311	7	of	of	ADP
ejpam-3408	311	8	admissible	admissible	ADJ
ejpam-3408	311	9	models	model	NOUN
ejpam-3408	311	10	.	.	PUNCT
ejpam-3408	312	1	since	since	SCONJ
ejpam-3408	312	2	a	a	DET
ejpam-3408	312	3	prime	prime	ADJ
ejpam-3408	312	4	ring	ring	NOUN
ejpam-3408	312	5	need	need	AUX
ejpam-3408	312	6	not	not	PART
ejpam-3408	312	7	be	be	AUX
ejpam-3408	312	8	algebra	algebra	VERB
ejpam-3408	312	9	over	over	ADP
ejpam-3408	312	10	a	a	DET
ejpam-3408	312	11	field	field	NOUN
ejpam-3408	312	12	,	,	PUNCT
ejpam-3408	312	13	so	so	ADV
ejpam-3408	312	14	keeping	keep	VERB
ejpam-3408	312	15	in	in	ADP
ejpam-3408	312	16	view	view	NOUN
ejpam-3408	312	17	,	,	PUNCT
ejpam-3408	312	18	the	the	DET
ejpam-3408	312	19	author	author	NOUN
ejpam-3408	312	20	intended	intend	VERB
ejpam-3408	312	21	to	to	PART
ejpam-3408	312	22	extend	extend	VERB
ejpam-3408	312	23	the	the	DET
ejpam-3408	312	24	class	class	NOUN
ejpam-3408	312	25	of	of	ADP
ejpam-3408	312	26	admissible	admissible	ADJ
ejpam-3408	312	27	models	model	NOUN
ejpam-3408	312	28	at	at	ADP
ejpam-3408	312	29	least	least	ADV
ejpam-3408	312	30	slightly	slightly	ADV
ejpam-3408	312	31	.	.	PUNCT
ejpam-3408	313	1	for	for	ADP
ejpam-3408	313	2	example	example	NOUN
ejpam-3408	313	3	,	,	PUNCT
ejpam-3408	313	4	the	the	DET
ejpam-3408	313	5	cayley	cayley	ADJ
ejpam-3408	313	6	integers	integer	NOUN
ejpam-3408	313	7	are	be	AUX
ejpam-3408	313	8	a	a	DET
ejpam-3408	313	9	prime	prime	ADJ
ejpam-3408	313	10	ring	ring	NOUN
ejpam-3408	313	11	that	that	PRON
ejpam-3408	313	12	is	be	AUX
ejpam-3408	313	13	not	not	PART
ejpam-3408	313	14	cayley	cayley	ADJ
ejpam-3408	313	15	-	-	PUNCT
ejpam-3408	313	16	dickson	dickson	NOUN
ejpam-3408	313	17	algebra	algebra	NOUN
ejpam-3408	313	18	,	,	PUNCT
ejpam-3408	313	19	much	much	ADV
ejpam-3408	313	20	as	as	ADP
ejpam-3408	313	21	an	an	DET
ejpam-3408	313	22	integral	integral	ADJ
ejpam-3408	313	23	domain	domain	NOUN
ejpam-3408	313	24	is	be	AUX
ejpam-3408	313	25	prime	prime	ADJ
ejpam-3408	313	26	but	but	CCONJ
ejpam-3408	313	27	need	need	AUX
ejpam-3408	313	28	not	not	PART
ejpam-3408	313	29	be	be	AUX
ejpam-3408	313	30	a	a	DET
ejpam-3408	313	31	field	field	NOUN
ejpam-3408	313	32	.	.	PUNCT
ejpam-3408	314	1	moreover	moreover	ADV
ejpam-3408	314	2	,	,	PUNCT
ejpam-3408	314	3	he	he	PRON
ejpam-3408	314	4	defined	define	VERB
ejpam-3408	314	5	a	a	DET
ejpam-3408	314	6	cayley	cayley	ADJ
ejpam-3408	314	7	-	-	PUNCT
ejpam-3408	314	8	dickson	dickson	NOUN
ejpam-3408	314	9	ring	ring	NOUN
ejpam-3408	314	10	(	(	PUNCT
ejpam-3408	314	11	cd	cd	NOUN
ejpam-3408	314	12	ring	ring	NOUN
ejpam-3408	314	13	)	)	PUNCT
ejpam-3408	314	14	r	r	NOUN
ejpam-3408	314	15	to	to	PART
ejpam-3408	314	16	be	be	AUX
ejpam-3408	314	17	a	a	DET
ejpam-3408	314	18	ring	ring	NOUN
ejpam-3408	314	19	that	that	PRON
ejpam-3408	314	20	can	can	AUX
ejpam-3408	314	21	be	be	AUX
ejpam-3408	314	22	imbedded	imbed	VERB
ejpam-3408	314	23	in	in	ADP
ejpam-3408	314	24	a	a	DET
ejpam-3408	314	25	certain	certain	ADJ
ejpam-3408	314	26	natural	natural	ADJ
ejpam-3408	314	27	way	way	NOUN
ejpam-3408	314	28	in	in	ADP
ejpam-3408	314	29	cd	cd	PROPN
ejpam-3408	314	30	algebra	algebra	NOUN
ejpam-3408	314	31	r	r	NOUN
ejpam-3408	314	32	over	over	ADP
ejpam-3408	314	33	the	the	DET
ejpam-3408	314	34	quotient	quotient	NOUN
ejpam-3408	314	35	field	field	NOUN
ejpam-3408	314	36	z	z	PROPN
ejpam-3408	314	37	of	of	ADP
ejpam-3408	314	38	the	the	DET
ejpam-3408	314	39	(	(	PUNCT
ejpam-3408	314	40	nonzero	nonzero	NOUN
ejpam-3408	314	41	)	)	PUNCT
ejpam-3408	314	42	center	center	NOUN
ejpam-3408	314	43	z	z	PROPN
ejpam-3408	314	44	of	of	ADP
ejpam-3408	314	45	r.	r.	PROPN
ejpam-3408	314	46	he	he	PRON
ejpam-3408	314	47	then	then	ADV
ejpam-3408	314	48	later	later	ADV
ejpam-3408	314	49	said	say	VERB
ejpam-3408	314	50	that	that	SCONJ
ejpam-3408	314	51	if	if	SCONJ
ejpam-3408	314	52	r	r	NOUN
ejpam-3408	314	53	is	be	AUX
ejpam-3408	314	54	cancellative	cancellative	ADJ
ejpam-3408	314	55	alternative	alternative	NOUN
ejpam-3408	314	56	but	but	CCONJ
ejpam-3408	314	57	not	not	PART
ejpam-3408	314	58	associative	associative	ADJ
ejpam-3408	314	59	(	(	PUNCT
ejpam-3408	314	60	and	and	CCONJ
ejpam-3408	314	61	of	of	ADP
ejpam-3408	314	62	char	char	NOUN
ejpam-3408	314	63	6=	6=	NUM
ejpam-3408	314	64	2	2	NUM
ejpam-3408	314	65	)	)	PUNCT
ejpam-3408	314	66	then	then	ADV
ejpam-3408	314	67	r	r	NOUN
ejpam-3408	314	68	is	be	AUX
ejpam-3408	314	69	a	a	DET
ejpam-3408	314	70	cd	cd	NOUN
ejpam-3408	314	71	ring	ring	NOUN
ejpam-3408	314	72	such	such	ADJ
ejpam-3408	314	73	that	that	SCONJ
ejpam-3408	314	74	r	r	NOUN
ejpam-3408	314	75	is	be	AUX
ejpam-3408	314	76	a	a	DET
ejpam-3408	314	77	cd	cd	NOUN
ejpam-3408	314	78	division	division	NOUN
ejpam-3408	314	79	algebra	algebra	NOUN
ejpam-3408	314	80	.	.	PUNCT
ejpam-3408	315	1	the	the	DET
ejpam-3408	315	2	added	add	VERB
ejpam-3408	315	3	generality	generality	NOUN
ejpam-3408	315	4	in	in	ADP
ejpam-3408	315	5	the	the	DET
ejpam-3408	315	6	paper	paper	NOUN
ejpam-3408	315	7	comes	come	VERB
ejpam-3408	315	8	from	from	ADP
ejpam-3408	315	9	the	the	DET
ejpam-3408	315	10	fact	fact	NOUN
ejpam-3408	315	11	that	that	SCONJ
ejpam-3408	315	12	a	a	DET
ejpam-3408	315	13	prime	prime	ADJ
ejpam-3408	315	14	ring	ring	NOUN
ejpam-3408	315	15	may	may	AUX
ejpam-3408	315	16	have	have	AUX
ejpam-3408	315	17	zero	zero	NUM
ejpam-3408	315	18	divisors	divisor	NOUN
ejpam-3408	315	19	.	.	PUNCT
ejpam-3408	316	1	if	if	SCONJ
ejpam-3408	316	2	r	r	NOUN
ejpam-3408	316	3	is	be	AUX
ejpam-3408	316	4	prime	prime	ADJ
ejpam-3408	316	5	with	with	ADP
ejpam-3408	316	6	zero	zero	NUM
ejpam-3408	316	7	divisors	divisor	NOUN
ejpam-3408	316	8	[	[	X
ejpam-3408	316	9	and	and	CCONJ
ejpam-3408	316	10	not	not	PART
ejpam-3408	316	11	associative	associative	ADJ
ejpam-3408	316	12	,	,	PUNCT
ejpam-3408	316	13	and	and	CCONJ
ejpam-3408	316	14	3r	3r	NUM
ejpam-3408	316	15	6=	6=	SYM
ejpam-3408	316	16	(	(	PUNCT
ejpam-3408	316	17	0	0	NUM
ejpam-3408	316	18	)	)	PUNCT
ejpam-3408	316	19	]	]	PUNCT
ejpam-3408	317	1	then	then	ADV
ejpam-3408	317	2	r	r	NOUN
ejpam-3408	317	3	will	will	AUX
ejpam-3408	317	4	be	be	AUX
ejpam-3408	317	5	a	a	DET
ejpam-3408	317	6	split	split	ADJ
ejpam-3408	317	7	cd	cd	NOUN
ejpam-3408	317	8	algebra	algebra	NOUN
ejpam-3408	317	9	,	,	PUNCT
ejpam-3408	317	10	instead	instead	ADV
ejpam-3408	317	11	of	of	ADP
ejpam-3408	317	12	a	a	DET
ejpam-3408	317	13	cd	cd	NOUN
ejpam-3408	317	14	division	division	NOUN
ejpam-3408	317	15	algebra	algebra	NOUN
ejpam-3408	317	16	.	.	PUNCT
ejpam-3408	318	1	again	again	ADV
ejpam-3408	318	2	in	in	ADP
ejpam-3408	318	3	1970	1970	NUM
ejpam-3408	318	4	,	,	PUNCT
ejpam-3408	318	5	slater	slater	NOUN
ejpam-3408	318	6	[	[	X
ejpam-3408	318	7	232	232	NUM
ejpam-3408	318	8	]	]	PUNCT
ejpam-3408	318	9	discussed	discuss	VERB
ejpam-3408	318	10	localization	localization	NOUN
ejpam-3408	318	11	results	result	NOUN
ejpam-3408	318	12	on	on	ADP
ejpam-3408	318	13	ideals	ideal	NOUN
ejpam-3408	318	14	and	and	CCONJ
ejpam-3408	318	15	right	right	ADJ
ejpam-3408	318	16	ideals	ideal	NOUN
ejpam-3408	318	17	of	of	ADP
ejpam-3408	318	18	prime	prime	ADJ
ejpam-3408	318	19	and	and	CCONJ
ejpam-3408	318	20	weakly	weakly	ADJ
ejpam-3408	318	21	prime	prime	ADJ
ejpam-3408	318	22	rings	ring	NOUN
ejpam-3408	318	23	.	.	PUNCT
ejpam-3408	319	1	also	also	ADV
ejpam-3408	319	2	he	he	PRON
ejpam-3408	319	3	showed	show	VERB
ejpam-3408	319	4	that	that	SCONJ
ejpam-3408	319	5	if	if	SCONJ
ejpam-3408	319	6	some	some	DET
ejpam-3408	319	7	exceptional	exceptional	ADJ
ejpam-3408	319	8	weakly	weakly	ADJ
ejpam-3408	319	9	prime	prime	ADJ
ejpam-3408	319	10	ring	ring	NOUN
ejpam-3408	319	11	exists	exist	VERB
ejpam-3408	319	12	,	,	PUNCT
ejpam-3408	319	13	then	then	ADV
ejpam-3408	319	14	there	there	PRON
ejpam-3408	319	15	exists	exist	VERB
ejpam-3408	319	16	an	an	DET
ejpam-3408	319	17	exceptional	exceptional	ADJ
ejpam-3408	319	18	prime	prime	ADJ
ejpam-3408	319	19	ring	ring	NOUN
ejpam-3408	319	20	having	have	VERB
ejpam-3408	319	21	a	a	DET
ejpam-3408	319	22	collection	collection	NOUN
ejpam-3408	319	23	of	of	ADP
ejpam-3408	319	24	properties	property	NOUN
ejpam-3408	319	25	which	which	PRON
ejpam-3408	319	26	taken	take	VERB
ejpam-3408	319	27	together	together	ADV
ejpam-3408	319	28	.	.	PUNCT
ejpam-3408	320	1	finally	finally	ADV
ejpam-3408	320	2	,	,	PUNCT
ejpam-3408	320	3	he	he	PRON
ejpam-3408	320	4	gave	give	VERB
ejpam-3408	320	5	examples	example	NOUN
ejpam-3408	320	6	to	to	PART
ejpam-3408	320	7	show	show	VERB
ejpam-3408	320	8	that	that	SCONJ
ejpam-3408	320	9	if	if	SCONJ
ejpam-3408	320	10	some	some	DET
ejpam-3408	320	11	exceptional	exceptional	ADJ
ejpam-3408	320	12	ring	ring	NOUN
ejpam-3408	320	13	exists	exist	VERB
ejpam-3408	320	14	,	,	PUNCT
ejpam-3408	320	15	then	then	ADV
ejpam-3408	320	16	the	the	DET
ejpam-3408	320	17	restrictions	restriction	NOUN
ejpam-3408	320	18	on	on	ADP
ejpam-3408	320	19	characteristic	characteristic	ADJ
ejpam-3408	320	20	imposed	impose	VERB
ejpam-3408	320	21	in	in	ADP
ejpam-3408	320	22	most	most	ADJ
ejpam-3408	320	23	of	of	ADP
ejpam-3408	320	24	the	the	DET
ejpam-3408	320	25	results	result	NOUN
ejpam-3408	320	26	were	be	AUX
ejpam-3408	320	27	not	not	PART
ejpam-3408	320	28	excessive	excessive	ADJ
ejpam-3408	320	29	.	.	PUNCT
ejpam-3408	321	1	slater	slater	NOUN
ejpam-3408	322	1	[	[	X
ejpam-3408	322	2	230	230	NUM
ejpam-3408	322	3	]	]	PUNCT
ejpam-3408	322	4	in	in	ADP
ejpam-3408	322	5	1970	1970	NUM
ejpam-3408	322	6	proved	prove	VERB
ejpam-3408	322	7	the	the	DET
ejpam-3408	322	8	natural	natural	ADJ
ejpam-3408	322	9	extension	extension	NOUN
ejpam-3408	322	10	to	to	ADP
ejpam-3408	322	11	alternative	alternative	ADJ
ejpam-3408	322	12	rings	ring	NOUN
ejpam-3408	322	13	of	of	ADP
ejpam-3408	322	14	the	the	DET
ejpam-3408	322	15	classical	classical	ADJ
ejpam-3408	322	16	wedderburn	wedderburn	NOUN
ejpam-3408	322	17	-	-	PUNCT
ejpam-3408	322	18	artin	artin	NOUN
ejpam-3408	322	19	theorem	theorem	NOUN
ejpam-3408	322	20	for	for	ADP
ejpam-3408	322	21	semiprime	semiprime	NOUN
ejpam-3408	322	22	associative	associative	PROPN
ejpam-3408	322	23	rings	ring	NOUN
ejpam-3408	322	24	,	,	PUNCT
ejpam-3408	322	25	considered	consider	VERB
ejpam-3408	322	26	the	the	DET
ejpam-3408	322	27	extension	extension	NOUN
ejpam-3408	322	28	to	to	ADP
ejpam-3408	322	29	arbitrary	arbitrary	ADJ
ejpam-3408	322	30	alternative	alternative	ADJ
ejpam-3408	322	31	rings	ring	NOUN
ejpam-3408	322	32	of	of	ADP
ejpam-3408	322	33	the	the	DET
ejpam-3408	322	34	classical	classical	ADJ
ejpam-3408	322	35	methods	method	NOUN
ejpam-3408	322	36	,	,	PUNCT
ejpam-3408	322	37	as	as	ADV
ejpam-3408	322	38	well	well	ADV
ejpam-3408	322	39	as	as	ADP
ejpam-3408	322	40	the	the	DET
ejpam-3408	322	41	secondary	secondary	ADJ
ejpam-3408	322	42	results	result	NOUN
ejpam-3408	322	43	of	of	ADP
ejpam-3408	322	44	the	the	DET
ejpam-3408	322	45	classical	classical	ADJ
ejpam-3408	322	46	associative	associative	NOUN
ejpam-3408	322	47	theory	theory	NOUN
ejpam-3408	322	48	.	.	PUNCT
ejpam-3408	323	1	also	also	ADV
ejpam-3408	323	2	he	he	PRON
ejpam-3408	323	3	discussed	discuss	VERB
ejpam-3408	323	4	some	some	DET
ejpam-3408	323	5	parallel	parallel	ADJ
ejpam-3408	323	6	conditions	condition	NOUN
ejpam-3408	323	7	in	in	ADP
ejpam-3408	323	8	alternative	alternative	ADJ
ejpam-3408	323	9	theory	theory	NOUN
ejpam-3408	323	10	to	to	ADP
ejpam-3408	323	11	the	the	DET
ejpam-3408	323	12	classical	classical	ADJ
ejpam-3408	323	13	connection	connection	NOUN
ejpam-3408	323	14	between	between	ADP
ejpam-3408	323	15	primitive	primitive	ADJ
ejpam-3408	323	16	idempotents	idempotent	NOUN
ejpam-3408	323	17	and	and	CCONJ
ejpam-3408	323	18	minimal	minimal	ADJ
ejpam-3408	323	19	right	right	ADJ
ejpam-3408	323	20	ideals	ideal	NOUN
ejpam-3408	323	21	.	.	PUNCT
ejpam-3408	324	1	he	he	PRON
ejpam-3408	324	2	also	also	ADV
ejpam-3408	324	3	examined	examine	VERB
ejpam-3408	324	4	the	the	DET
ejpam-3408	324	5	relation	relation	NOUN
ejpam-3408	324	6	between	between	ADP
ejpam-3408	324	7	the	the	DET
ejpam-3408	324	8	present	present	ADJ
ejpam-3408	324	9	results	result	NOUN
ejpam-3408	324	10	and	and	CCONJ
ejpam-3408	324	11	the	the	DET
ejpam-3408	324	12	classical	classical	ADJ
ejpam-3408	324	13	structure	structure	NOUN
ejpam-3408	324	14	theory	theory	NOUN
ejpam-3408	324	15	established	establish	VERB
ejpam-3408	324	16	by	by	ADP
ejpam-3408	324	17	zorn	zorn	PROPN
ejpam-3408	324	18	.	.	PUNCT
ejpam-3408	325	1	in	in	ADP
ejpam-3408	325	2	1970	1970	NUM
ejpam-3408	325	3	,	,	PUNCT
ejpam-3408	325	4	slater	slater	NOUN
ejpam-3408	325	5	[	[	X
ejpam-3408	325	6	233	233	NUM
ejpam-3408	325	7	]	]	PUNCT
ejpam-3408	325	8	discussed	discuss	VERB
ejpam-3408	325	9	that	that	SCONJ
ejpam-3408	325	10	the	the	DET
ejpam-3408	325	11	main	main	ADJ
ejpam-3408	325	12	facts	fact	NOUN
ejpam-3408	325	13	about	about	ADP
ejpam-3408	325	14	the	the	DET
ejpam-3408	325	15	minimal	minimal	ADJ
ejpam-3408	325	16	ideals	ideal	NOUN
ejpam-3408	325	17	and	and	CCONJ
ejpam-3408	325	18	minimal	minimal	ADJ
ejpam-3408	325	19	right	right	ADJ
ejpam-3408	325	20	ideals	ideal	NOUN
ejpam-3408	325	21	of	of	ADP
ejpam-3408	325	22	an	an	DET
ejpam-3408	325	23	associative	associative	ADJ
ejpam-3408	325	24	a.	a.	NOUN
ejpam-3408	325	25	razzaque	razzaque	NOUN
ejpam-3408	325	26	et	et	PROPN
ejpam-3408	325	27	al	al	PROPN
ejpam-3408	325	28	.	.	PUNCT
ejpam-3408	325	29	/	/	SYM
ejpam-3408	325	30	eur	eur	PROPN
ejpam-3408	325	31	.	.	PUNCT
ejpam-3408	326	1	j.	j.	PROPN
ejpam-3408	326	2	pure	pure	PROPN
ejpam-3408	326	3	appl	appl	PROPN
ejpam-3408	326	4	.	.	PROPN
ejpam-3408	326	5	math	math	PROPN
ejpam-3408	326	6	,	,	PUNCT
ejpam-3408	326	7	12	12	NUM
ejpam-3408	326	8	(	(	PUNCT
ejpam-3408	326	9	2	2	NUM
ejpam-3408	326	10	)	)	PUNCT
ejpam-3408	326	11	(	(	PUNCT
ejpam-3408	326	12	2019	2019	NUM
ejpam-3408	326	13	)	)	PUNCT
ejpam-3408	326	14	,	,	PUNCT
ejpam-3408	326	15	370	370	NUM
ejpam-3408	326	16	-	-	SYM
ejpam-3408	326	17	408	408	NUM
ejpam-3408	326	18	380	380	NUM
ejpam-3408	326	19	ring	ring	NOUN
ejpam-3408	326	20	are	be	AUX
ejpam-3408	326	21	well	well	ADV
ejpam-3408	326	22	known	know	VERB
ejpam-3408	326	23	.	.	PUNCT
ejpam-3408	327	1	in	in	ADP
ejpam-3408	327	2	this	this	DET
ejpam-3408	327	3	paper	paper	NOUN
ejpam-3408	327	4	he	he	PRON
ejpam-3408	327	5	also	also	ADV
ejpam-3408	327	6	proved	prove	VERB
ejpam-3408	327	7	corresponding	corresponding	ADJ
ejpam-3408	327	8	results	result	NOUN
ejpam-3408	327	9	for	for	ADP
ejpam-3408	327	10	an	an	DET
ejpam-3408	327	11	alternative	alternative	ADJ
ejpam-3408	327	12	ring	ring	NOUN
ejpam-3408	327	13	r.	r.	PROPN
ejpam-3408	327	14	he	he	PRON
ejpam-3408	327	15	made	make	VERB
ejpam-3408	327	16	no	no	DET
ejpam-3408	327	17	restriction	restriction	NOUN
ejpam-3408	327	18	on	on	ADP
ejpam-3408	327	19	the	the	DET
ejpam-3408	327	20	characteristic	characteristic	NOUN
ejpam-3408	327	21	of	of	ADP
ejpam-3408	327	22	r	r	NOUN
ejpam-3408	327	23	,	,	PUNCT
ejpam-3408	327	24	but	but	CCONJ
ejpam-3408	327	25	will	will	AUX
ejpam-3408	327	26	often	often	ADV
ejpam-3408	327	27	impose	impose	VERB
ejpam-3408	327	28	restrictions	restriction	NOUN
ejpam-3408	327	29	of	of	ADP
ejpam-3408	327	30	semiprimeness	semiprimeness	NOUN
ejpam-3408	327	31	type	type	NOUN
ejpam-3408	327	32	.	.	PUNCT
ejpam-3408	328	1	slater	slater	PROPN
ejpam-3408	329	1	[	[	X
ejpam-3408	329	2	234	234	NUM
ejpam-3408	329	3	]	]	PUNCT
ejpam-3408	329	4	in	in	ADP
ejpam-3408	329	5	1971	1971	NUM
ejpam-3408	329	6	were	be	AUX
ejpam-3408	329	7	concerned	concern	VERB
ejpam-3408	329	8	mainly	mainly	ADV
ejpam-3408	329	9	with	with	ADP
ejpam-3408	329	10	the	the	DET
ejpam-3408	329	11	extension	extension	NOUN
ejpam-3408	329	12	to	to	ADP
ejpam-3408	329	13	arbitrary	arbitrary	ADJ
ejpam-3408	329	14	(	(	PUNCT
ejpam-3408	329	15	alternative	alternative	ADJ
ejpam-3408	329	16	)	)	PUNCT
ejpam-3408	329	17	rings	ring	NOUN
ejpam-3408	329	18	of	of	ADP
ejpam-3408	329	19	hopkins	hopkins	PROPN
ejpam-3408	329	20	theorem	theorem	VERB
ejpam-3408	329	21	[	[	X
ejpam-3408	329	22	97	97	NUM
ejpam-3408	329	23	]	]	PUNCT
ejpam-3408	329	24	that	that	SCONJ
ejpam-3408	329	25	in	in	ADP
ejpam-3408	329	26	an	an	DET
ejpam-3408	329	27	associative	associative	ADJ
ejpam-3408	329	28	ring	ring	NOUN
ejpam-3408	329	29	with	with	ADP
ejpam-3408	329	30	d.c.c	d.c.c	NOUN
ejpam-3408	329	31	.	.	PUNCT
ejpam-3408	330	1	on	on	ADP
ejpam-3408	330	2	right	right	ADJ
ejpam-3408	330	3	ideals	ideal	NOUN
ejpam-3408	330	4	the	the	DET
ejpam-3408	330	5	(	(	PUNCT
ejpam-3408	330	6	say	say	INTJ
ejpam-3408	330	7	,	,	PUNCT
ejpam-3408	330	8	nil	nil	ADJ
ejpam-3408	330	9	)	)	PUNCT
ejpam-3408	330	10	radical	radical	ADJ
ejpam-3408	330	11	is	be	AUX
ejpam-3408	330	12	nilpotent	nilpotent	ADJ
ejpam-3408	330	13	.	.	PUNCT
ejpam-3408	331	1	he	he	PRON
ejpam-3408	331	2	also	also	ADV
ejpam-3408	331	3	reworked	rework	VERB
ejpam-3408	331	4	and	and	CCONJ
ejpam-3408	331	5	modified	modify	VERB
ejpam-3408	331	6	zhevlakov	zhevlakov	NOUN
ejpam-3408	331	7	’s	’s	PART
ejpam-3408	331	8	arguments	argument	NOUN
ejpam-3408	331	9	to	to	PART
ejpam-3408	331	10	obtain	obtain	VERB
ejpam-3408	331	11	nilpotence	nilpotence	NOUN
ejpam-3408	331	12	of	of	ADP
ejpam-3408	331	13	s(r	s(r	PROPN
ejpam-3408	331	14	)	)	PUNCT
ejpam-3408	331	15	without	without	ADP
ejpam-3408	331	16	restriction	restriction	NOUN
ejpam-3408	331	17	on	on	ADP
ejpam-3408	331	18	characteristic	characteristic	ADJ
ejpam-3408	331	19	.	.	PUNCT
ejpam-3408	332	1	it	it	PRON
ejpam-3408	332	2	turns	turn	VERB
ejpam-3408	332	3	out	out	ADP
ejpam-3408	332	4	that	that	SCONJ
ejpam-3408	332	5	much	much	ADJ
ejpam-3408	332	6	of	of	ADP
ejpam-3408	332	7	the	the	DET
ejpam-3408	332	8	work	work	NOUN
ejpam-3408	332	9	was	be	AUX
ejpam-3408	332	10	done	do	VERB
ejpam-3408	332	11	more	more	ADV
ejpam-3408	332	12	simply	simply	ADV
ejpam-3408	332	13	by	by	ADP
ejpam-3408	332	14	working	work	VERB
ejpam-3408	332	15	with	with	ADP
ejpam-3408	332	16	two	two	NUM
ejpam-3408	332	17	-	-	PUNCT
ejpam-3408	332	18	sided	sided	ADJ
ejpam-3408	332	19	ideals	ideal	NOUN
ejpam-3408	332	20	,	,	PUNCT
ejpam-3408	332	21	as	as	SCONJ
ejpam-3408	332	22	opposed	oppose	VERB
ejpam-3408	332	23	to	to	ADP
ejpam-3408	332	24	the	the	DET
ejpam-3408	332	25	right	right	ADJ
ejpam-3408	332	26	ideals	ideal	NOUN
ejpam-3408	332	27	used	use	VERB
ejpam-3408	332	28	by	by	ADP
ejpam-3408	332	29	zhevlakov	zhevlakov	PROPN
ejpam-3408	332	30	.	.	PUNCT
ejpam-3408	333	1	as	as	ADP
ejpam-3408	333	2	a	a	DET
ejpam-3408	333	3	consequence	consequence	NOUN
ejpam-3408	333	4	,	,	PUNCT
ejpam-3408	333	5	a	a	DET
ejpam-3408	333	6	substantial	substantial	ADJ
ejpam-3408	333	7	part	part	NOUN
ejpam-3408	333	8	of	of	ADP
ejpam-3408	333	9	the	the	DET
ejpam-3408	333	10	work	work	NOUN
ejpam-3408	333	11	was	be	AUX
ejpam-3408	333	12	done	do	VERB
ejpam-3408	333	13	with	with	ADP
ejpam-3408	333	14	the	the	DET
ejpam-3408	333	15	assumption	assumption	NOUN
ejpam-3408	333	16	of	of	ADP
ejpam-3408	333	17	d.c.c	d.c.c	NOUN
ejpam-3408	333	18	.	.	PUNCT
ejpam-3408	334	1	only	only	ADV
ejpam-3408	334	2	on	on	ADP
ejpam-3408	334	3	two	two	NUM
ejpam-3408	334	4	-	-	PUNCT
ejpam-3408	334	5	sided	sided	ADJ
ejpam-3408	334	6	ideals	ideal	NOUN
ejpam-3408	334	7	,	,	PUNCT
ejpam-3408	334	8	and	and	CCONJ
ejpam-3408	334	9	the	the	DET
ejpam-3408	334	10	result	result	NOUN
ejpam-3408	334	11	on	on	ADP
ejpam-3408	334	12	s(r	s(r	PROPN
ejpam-3408	334	13	)	)	PUNCT
ejpam-3408	334	14	appeared	appear	VERB
ejpam-3408	334	15	as	as	ADP
ejpam-3408	334	16	an	an	DET
ejpam-3408	334	17	easy	easy	ADJ
ejpam-3408	334	18	corollary	corollary	NOUN
ejpam-3408	334	19	of	of	ADP
ejpam-3408	334	20	this	this	DET
ejpam-3408	334	21	work	work	NOUN
ejpam-3408	334	22	.	.	PUNCT
ejpam-3408	335	1	on	on	ADP
ejpam-3408	335	2	the	the	DET
ejpam-3408	335	3	way	way	NOUN
ejpam-3408	335	4	he	he	PRON
ejpam-3408	335	5	also	also	ADV
ejpam-3408	335	6	improved	improve	VERB
ejpam-3408	335	7	the	the	DET
ejpam-3408	335	8	result	result	NOUN
ejpam-3408	335	9	that	that	SCONJ
ejpam-3408	335	10	a	a	DET
ejpam-3408	335	11	ring	ring	NOUN
ejpam-3408	335	12	r	r	NOUN
ejpam-3408	335	13	with	with	ADP
ejpam-3408	335	14	d.c.c	d.c.c	NOUN
ejpam-3408	335	15	.	.	PUNCT
ejpam-3408	336	1	on	on	ADP
ejpam-3408	336	2	two	two	NUM
ejpam-3408	336	3	-	-	PUNCT
ejpam-3408	336	4	sided	sided	ADJ
ejpam-3408	336	5	ideals	ideal	NOUN
ejpam-3408	336	6	any	any	DET
ejpam-3408	336	7	solvable	solvable	ADJ
ejpam-3408	336	8	ideal	ideal	NOUN
ejpam-3408	336	9	is	be	AUX
ejpam-3408	336	10	nilpotent	nilpotent	ADJ
ejpam-3408	336	11	by	by	ADP
ejpam-3408	336	12	allowing	allow	VERB
ejpam-3408	336	13	baer	baer	PROPN
ejpam-3408	336	14	-	-	ADJ
ejpam-3408	336	15	radical	radical	ADJ
ejpam-3408	336	16	ideals	ideal	NOUN
ejpam-3408	336	17	in	in	ADP
ejpam-3408	336	18	place	place	NOUN
ejpam-3408	336	19	of	of	ADP
ejpam-3408	336	20	solvable	solvable	ADJ
ejpam-3408	336	21	ideals	ideal	NOUN
ejpam-3408	336	22	.	.	PUNCT
ejpam-3408	337	1	in	in	ADP
ejpam-3408	337	2	1971	1971	NUM
ejpam-3408	337	3	,	,	PUNCT
ejpam-3408	337	4	hentzel	hentzel	ADJ
ejpam-3408	337	5	[	[	X
ejpam-3408	337	6	82	82	NUM
ejpam-3408	337	7	]	]	PUNCT
ejpam-3408	337	8	discussed	discuss	VERB
ejpam-3408	337	9	the	the	DET
ejpam-3408	337	10	characteristics	characteristic	NOUN
ejpam-3408	337	11	of	of	ADP
ejpam-3408	337	12	right	right	ADJ
ejpam-3408	337	13	alternative	alternative	ADJ
ejpam-3408	337	14	rings	ring	NOUN
ejpam-3408	337	15	with	with	ADP
ejpam-3408	337	16	idempotents	idempotent	NOUN
ejpam-3408	337	17	,	,	PUNCT
ejpam-3408	337	18	he	he	PRON
ejpam-3408	337	19	also	also	ADV
ejpam-3408	337	20	assumed	assume	VERB
ejpam-3408	337	21	that	that	SCONJ
ejpam-3408	337	22	all	all	DET
ejpam-3408	337	23	the	the	DET
ejpam-3408	337	24	rings	ring	NOUN
ejpam-3408	337	25	to	to	PART
ejpam-3408	337	26	have	have	VERB
ejpam-3408	337	27	characteristic	characteristic	ADJ
ejpam-3408	337	28	prime	prime	NOUN
ejpam-3408	337	29	to	to	ADP
ejpam-3408	337	30	2	2	NUM
ejpam-3408	337	31	and	and	CCONJ
ejpam-3408	337	32	3	3	NUM
ejpam-3408	337	33	.	.	PUNCT
ejpam-3408	338	1	in	in	ADP
ejpam-3408	338	2	his	his	PRON
ejpam-3408	338	3	paper	paper	NOUN
ejpam-3408	338	4	he	he	PRON
ejpam-3408	338	5	also	also	ADV
ejpam-3408	338	6	used	use	VERB
ejpam-3408	338	7	the	the	DET
ejpam-3408	338	8	albert	albert	NOUN
ejpam-3408	338	9	decomposition	decomposition	NOUN
ejpam-3408	338	10	for	for	ADP
ejpam-3408	338	11	idempotents	idempotent	NOUN
ejpam-3408	338	12	for	for	ADP
ejpam-3408	338	13	right	right	ADJ
ejpam-3408	338	14	alternative	alternative	ADJ
ejpam-3408	338	15	rings	ring	NOUN
ejpam-3408	338	16	.	.	PUNCT
ejpam-3408	339	1	in	in	ADP
ejpam-3408	339	2	1971	1971	NUM
ejpam-3408	339	3	,	,	PUNCT
ejpam-3408	339	4	kleinfeld	kleinfeld	VERB
ejpam-3408	340	1	[	[	X
ejpam-3408	340	2	141	141	NUM
ejpam-3408	340	3	]	]	PUNCT
ejpam-3408	340	4	discussed	discuss	VERB
ejpam-3408	340	5	that	that	DET
ejpam-3408	340	6	alternative	alternative	NOUN
ejpam-3408	340	7	as	as	ADV
ejpam-3408	340	8	well	well	ADV
ejpam-3408	340	9	as	as	ADP
ejpam-3408	340	10	lie	lie	NOUN
ejpam-3408	340	11	rings	ring	NOUN
ejpam-3408	340	12	satisfy	satisfy	VERB
ejpam-3408	340	13	all	all	PRON
ejpam-3408	340	14	of	of	ADP
ejpam-3408	340	15	the	the	DET
ejpam-3408	340	16	following	follow	VERB
ejpam-3408	340	17	four	four	NUM
ejpam-3408	340	18	identities	identity	NOUN
ejpam-3408	340	19	:	:	PUNCT
ejpam-3408	340	20	(	(	PUNCT
ejpam-3408	340	21	i	i	NOUN
ejpam-3408	340	22	)	)	PUNCT
ejpam-3408	340	23	(	(	PUNCT
ejpam-3408	340	24	x2	x2	PROPN
ejpam-3408	340	25	,	,	PUNCT
ejpam-3408	340	26	y	y	PROPN
ejpam-3408	340	27	,	,	PUNCT
ejpam-3408	340	28	z	z	NOUN
ejpam-3408	340	29	)	)	PUNCT
ejpam-3408	340	30	=	=	SYM
ejpam-3408	340	31	x(x	x(x	PROPN
ejpam-3408	340	32	,	,	PUNCT
ejpam-3408	340	33	y	y	PROPN
ejpam-3408	340	34	,	,	PUNCT
ejpam-3408	340	35	z	z	NOUN
ejpam-3408	340	36	)	)	PUNCT
ejpam-3408	341	1	+	+	CCONJ
ejpam-3408	341	2	(	(	PUNCT
ejpam-3408	341	3	x	x	X
ejpam-3408	341	4	,	,	PUNCT
ejpam-3408	341	5	y	y	PROPN
ejpam-3408	341	6	,	,	PUNCT
ejpam-3408	341	7	z)x,(ii	z)x,(ii	NUM
ejpam-3408	341	8	)	)	PUNCT
ejpam-3408	341	9	(	(	PUNCT
ejpam-3408	341	10	x	x	NOUN
ejpam-3408	341	11	,	,	PUNCT
ejpam-3408	341	12	y2	y2	INTJ
ejpam-3408	341	13	,	,	PUNCT
ejpam-3408	341	14	z	z	NOUN
ejpam-3408	341	15	)	)	PUNCT
ejpam-3408	341	16	=	=	SYM
ejpam-3408	341	17	y(x	y(x	PROPN
ejpam-3408	341	18	,	,	PUNCT
ejpam-3408	341	19	y	y	PROPN
ejpam-3408	341	20	,	,	PUNCT
ejpam-3408	341	21	z	z	NOUN
ejpam-3408	341	22	)	)	PUNCT
ejpam-3408	341	23	+	+	CCONJ
ejpam-3408	341	24	(	(	PUNCT
ejpam-3408	341	25	x	x	X
ejpam-3408	341	26	,	,	PUNCT
ejpam-3408	341	27	y	y	PROPN
ejpam-3408	341	28	,	,	PUNCT
ejpam-3408	341	29	z)y,(iii	z)y,(iii	PROPN
ejpam-3408	341	30	)	)	PUNCT
ejpam-3408	341	31	(	(	PUNCT
ejpam-3408	341	32	x	x	X
ejpam-3408	341	33	,	,	PUNCT
ejpam-3408	341	34	y	y	PROPN
ejpam-3408	341	35	,	,	PUNCT
ejpam-3408	341	36	z2	z2	PROPN
ejpam-3408	341	37	)	)	PUNCT
ejpam-3408	341	38	=	=	SYM
ejpam-3408	341	39	z(x	z(x	PROPN
ejpam-3408	341	40	,	,	PUNCT
ejpam-3408	341	41	y	y	PROPN
ejpam-3408	341	42	,	,	PUNCT
ejpam-3408	341	43	z	z	NOUN
ejpam-3408	341	44	)	)	PUNCT
ejpam-3408	341	45	+	+	CCONJ
ejpam-3408	341	46	(	(	PUNCT
ejpam-3408	341	47	x	x	X
ejpam-3408	341	48	,	,	PUNCT
ejpam-3408	341	49	y	y	PROPN
ejpam-3408	341	50	,	,	PUNCT
ejpam-3408	341	51	z)z	z)z	NUM
ejpam-3408	341	52	,	,	PUNCT
ejpam-3408	341	53	(	(	PUNCT
ejpam-3408	341	54	iv)(x	iv)(x	PROPN
ejpam-3408	341	55	,	,	PUNCT
ejpam-3408	341	56	x	x	X
ejpam-3408	341	57	,	,	PUNCT
ejpam-3408	341	58	x	x	X
ejpam-3408	341	59	)	)	PUNCT
ejpam-3408	341	60	=	=	SYM
ejpam-3408	341	61	0	0	NUM
ejpam-3408	341	62	,	,	PUNCT
ejpam-3408	341	63	where	where	SCONJ
ejpam-3408	341	64	the	the	DET
ejpam-3408	341	65	associator	associator	NOUN
ejpam-3408	341	66	(	(	PUNCT
ejpam-3408	341	67	a	a	PRON
ejpam-3408	341	68	,	,	PUNCT
ejpam-3408	341	69	b	b	NOUN
ejpam-3408	341	70	,	,	PUNCT
ejpam-3408	341	71	c	c	NOUN
ejpam-3408	341	72	)	)	PUNCT
ejpam-3408	341	73	is	be	AUX
ejpam-3408	341	74	defined	define	VERB
ejpam-3408	341	75	by	by	ADP
ejpam-3408	341	76	(	(	PUNCT
ejpam-3408	341	77	a	a	DET
ejpam-3408	341	78	,	,	PUNCT
ejpam-3408	341	79	b	b	NOUN
ejpam-3408	341	80	,	,	PUNCT
ejpam-3408	341	81	c	c	NOUN
ejpam-3408	341	82	)	)	PUNCT
ejpam-3408	341	83	=	=	SYM
ejpam-3408	341	84	(	(	PUNCT
ejpam-3408	341	85	ab)c	ab)c	PROPN
ejpam-3408	341	86	−	−	PROPN
ejpam-3408	341	87	a(bc	a(bc	NUM
ejpam-3408	341	88	)	)	PUNCT
ejpam-3408	341	89	.	.	PUNCT
ejpam-3408	342	1	he	he	PRON
ejpam-3408	342	2	also	also	ADV
ejpam-3408	342	3	proved	prove	VERB
ejpam-3408	342	4	that	that	SCONJ
ejpam-3408	342	5	if	if	SCONJ
ejpam-3408	342	6	r	r	NOUN
ejpam-3408	342	7	is	be	AUX
ejpam-3408	342	8	a	a	DET
ejpam-3408	342	9	ring	ring	NOUN
ejpam-3408	342	10	of	of	ADP
ejpam-3408	342	11	characteristic	characteristic	ADJ
ejpam-3408	342	12	different	different	ADV
ejpam-3408	342	13	from	from	ADP
ejpam-3408	342	14	two	two	NUM
ejpam-3408	342	15	and	and	CCONJ
ejpam-3408	342	16	satisfies	satisfie	NOUN
ejpam-3408	342	17	(	(	PUNCT
ejpam-3408	342	18	iv	iv	X
ejpam-3408	342	19	)	)	PUNCT
ejpam-3408	342	20	and	and	CCONJ
ejpam-3408	342	21	any	any	DET
ejpam-3408	342	22	two	two	NUM
ejpam-3408	342	23	of	of	ADP
ejpam-3408	342	24	the	the	DET
ejpam-3408	342	25	first	first	ADJ
ejpam-3408	342	26	three	three	NUM
ejpam-3408	342	27	identities	identity	NOUN
ejpam-3408	342	28	,	,	PUNCT
ejpam-3408	342	29	then	then	ADV
ejpam-3408	342	30	a	a	DET
ejpam-3408	342	31	necessary	necessary	ADJ
ejpam-3408	342	32	and	and	CCONJ
ejpam-3408	342	33	sufficient	sufficient	ADJ
ejpam-3408	342	34	condition	condition	NOUN
ejpam-3408	342	35	for	for	SCONJ
ejpam-3408	342	36	r	r	NOUN
ejpam-3408	342	37	to	to	PART
ejpam-3408	342	38	be	be	AUX
ejpam-3408	342	39	alternative	alternative	ADJ
ejpam-3408	342	40	is	be	AUX
ejpam-3408	342	41	that	that	SCONJ
ejpam-3408	342	42	whenever	whenever	SCONJ
ejpam-3408	342	43	a	a	DET
ejpam-3408	342	44	,	,	PUNCT
ejpam-3408	342	45	b	b	NOUN
ejpam-3408	342	46	,	,	PUNCT
ejpam-3408	342	47	c	c	PROPN
ejpam-3408	342	48	are	be	AUX
ejpam-3408	342	49	contained	contain	VERB
ejpam-3408	342	50	in	in	ADP
ejpam-3408	342	51	a	a	DET
ejpam-3408	342	52	sub	sub	NOUN
ejpam-3408	342	53	-	-	ADJ
ejpam-3408	342	54	ring	ring	ADJ
ejpam-3408	342	55	s	s	NOUN
ejpam-3408	342	56	of	of	ADP
ejpam-3408	342	57	r	r	NOUN
ejpam-3408	342	58	which	which	PRON
ejpam-3408	342	59	can	can	AUX
ejpam-3408	342	60	be	be	AUX
ejpam-3408	342	61	generated	generate	VERB
ejpam-3408	342	62	by	by	ADP
ejpam-3408	342	63	two	two	NUM
ejpam-3408	342	64	elements	element	NOUN
ejpam-3408	342	65	and	and	CCONJ
ejpam-3408	342	66	whenever	whenever	SCONJ
ejpam-3408	342	67	(	(	PUNCT
ejpam-3408	342	68	a	a	DET
ejpam-3408	342	69	,	,	PUNCT
ejpam-3408	342	70	b	b	NOUN
ejpam-3408	342	71	,	,	PUNCT
ejpam-3408	342	72	c)2	c)2	PROPN
ejpam-3408	342	73	=	=	SYM
ejpam-3408	342	74	0	0	NUM
ejpam-3408	342	75	,	,	PUNCT
ejpam-3408	342	76	then	then	ADV
ejpam-3408	342	77	(	(	PUNCT
ejpam-3408	342	78	a	a	DET
ejpam-3408	342	79	,	,	PUNCT
ejpam-3408	342	80	b	b	NOUN
ejpam-3408	342	81	,	,	PUNCT
ejpam-3408	342	82	c	c	NOUN
ejpam-3408	342	83	)	)	PUNCT
ejpam-3408	342	84	=	=	SYM
ejpam-3408	343	1	0	0	X
ejpam-3408	343	2	.	.	PUNCT
ejpam-3408	343	3	also	also	ADV
ejpam-3408	343	4	all	all	DET
ejpam-3408	343	5	such	such	ADJ
ejpam-3408	343	6	division	division	NOUN
ejpam-3408	343	7	rings	ring	NOUN
ejpam-3408	343	8	must	must	AUX
ejpam-3408	343	9	be	be	AUX
ejpam-3408	343	10	alternative	alternative	ADJ
ejpam-3408	343	11	and	and	CCONJ
ejpam-3408	343	12	hence	hence	ADV
ejpam-3408	343	13	either	either	CCONJ
ejpam-3408	343	14	cayley	cayley	ADJ
ejpam-3408	343	15	-	-	PUNCT
ejpam-3408	343	16	dickson	dickson	PROPN
ejpam-3408	343	17	division	division	NOUN
ejpam-3408	343	18	algebras	algebra	NOUN
ejpam-3408	343	19	or	or	CCONJ
ejpam-3408	343	20	associative	associative	ADJ
ejpam-3408	343	21	.	.	PUNCT
ejpam-3408	344	1	also	also	ADV
ejpam-3408	344	2	kleinfeld	kleinfeld	VERB
ejpam-3408	345	1	[	[	X
ejpam-3408	345	2	140	140	NUM
ejpam-3408	345	3	]	]	PUNCT
ejpam-3408	345	4	in	in	ADP
ejpam-3408	345	5	1971	1971	NUM
ejpam-3408	345	6	investigated	investigate	VERB
ejpam-3408	345	7	rings	ring	NOUN
ejpam-3408	345	8	r	r	NOUN
ejpam-3408	345	9	of	of	ADP
ejpam-3408	345	10	characteristic	characteristic	ADJ
ejpam-3408	345	11	different	different	ADV
ejpam-3408	345	12	from	from	ADP
ejpam-3408	345	13	two	two	NUM
ejpam-3408	345	14	.	.	PUNCT
ejpam-3408	346	1	the	the	DET
ejpam-3408	346	2	main	main	ADJ
ejpam-3408	346	3	results	result	NOUN
ejpam-3408	346	4	were	be	AUX
ejpam-3408	346	5	concerned	concern	VERB
ejpam-3408	346	6	that	that	SCONJ
ejpam-3408	346	7	either	either	CCONJ
ejpam-3408	346	8	rings	ring	NOUN
ejpam-3408	346	9	which	which	PRON
ejpam-3408	346	10	have	have	VERB
ejpam-3408	346	11	an	an	DET
ejpam-3408	346	12	idempotent	idempotent	ADJ
ejpam-3408	346	13	e	e	NOUN
ejpam-3408	346	14	6=	6=	ADP
ejpam-3408	346	15	1	1	NUM
ejpam-3408	346	16	,	,	PUNCT
ejpam-3408	346	17	or	or	CCONJ
ejpam-3408	346	18	those	those	PRON
ejpam-3408	346	19	which	which	PRON
ejpam-3408	346	20	have	have	VERB
ejpam-3408	346	21	no	no	DET
ejpam-3408	346	22	nilpotent	nilpotent	ADJ
ejpam-3408	346	23	elements	element	NOUN
ejpam-3408	346	24	.	.	PUNCT
ejpam-3408	347	1	he	he	PRON
ejpam-3408	347	2	also	also	ADV
ejpam-3408	347	3	proved	prove	VERB
ejpam-3408	347	4	that	that	SCONJ
ejpam-3408	347	5	whenever	whenever	SCONJ
ejpam-3408	347	6	r	r	NOUN
ejpam-3408	347	7	is	be	AUX
ejpam-3408	347	8	simple	simple	ADJ
ejpam-3408	347	9	and	and	CCONJ
ejpam-3408	347	10	contains	contain	VERB
ejpam-3408	347	11	an	an	DET
ejpam-3408	347	12	idempotent	idempotent	ADJ
ejpam-3408	347	13	e	e	NOUN
ejpam-3408	347	14	6=	6=	ADP
ejpam-3408	347	15	1	1	NUM
ejpam-3408	347	16	,	,	PUNCT
ejpam-3408	347	17	then	then	ADV
ejpam-3408	347	18	r	r	NOUN
ejpam-3408	347	19	must	must	AUX
ejpam-3408	347	20	be	be	AUX
ejpam-3408	347	21	alternative	alternative	ADJ
ejpam-3408	347	22	and	and	CCONJ
ejpam-3408	347	23	hence	hence	ADV
ejpam-3408	347	24	either	either	CCONJ
ejpam-3408	347	25	a	a	DET
ejpam-3408	347	26	cayley	cayley	ADJ
ejpam-3408	347	27	vectormatrix	vectormatrix	NOUN
ejpam-3408	347	28	algebra	algebra	NOUN
ejpam-3408	347	29	or	or	CCONJ
ejpam-3408	347	30	associative	associative	ADJ
ejpam-3408	347	31	.	.	PUNCT
ejpam-3408	348	1	in	in	ADP
ejpam-3408	348	2	1975	1975	NUM
ejpam-3408	348	3	,	,	PUNCT
ejpam-3408	348	4	thedy	thedy	NOUN
ejpam-3408	348	5	in	in	ADP
ejpam-3408	348	6	his	his	PRON
ejpam-3408	348	7	paper	paper	NOUN
ejpam-3408	348	8	[	[	X
ejpam-3408	348	9	250	250	NUM
ejpam-3408	348	10	]	]	PUNCT
ejpam-3408	348	11	analyzed	analyze	VERB
ejpam-3408	348	12	the	the	DET
ejpam-3408	348	13	two	two	NUM
ejpam-3408	348	14	natural	natural	ADJ
ejpam-3408	348	15	concepts	concept	NOUN
ejpam-3408	348	16	in	in	ADP
ejpam-3408	348	17	a	a	DET
ejpam-3408	348	18	right	right	ADJ
ejpam-3408	348	19	alternative	alternative	ADJ
ejpam-3408	348	20	algebra	algebra	NOUN
ejpam-3408	348	21	r	r	NOUN
ejpam-3408	348	22	,	,	PUNCT
ejpam-3408	348	23	the	the	DET
ejpam-3408	348	24	sub	sub	NOUN
ejpam-3408	348	25	-	-	NOUN
ejpam-3408	348	26	module	module	NOUN
ejpam-3408	348	27	m	m	AUX
ejpam-3408	348	28	generated	generate	VERB
ejpam-3408	348	29	by	by	ADP
ejpam-3408	348	30	all	all	DET
ejpam-3408	348	31	alternators	alternator	NOUN
ejpam-3408	348	32	(	(	PUNCT
ejpam-3408	348	33	x	x	X
ejpam-3408	348	34	,	,	PUNCT
ejpam-3408	348	35	x	x	PROPN
ejpam-3408	348	36	,	,	PUNCT
ejpam-3408	348	37	y	y	PROPN
ejpam-3408	348	38	)	)	PUNCT
ejpam-3408	348	39	,	,	PUNCT
ejpam-3408	348	40	and	and	CCONJ
ejpam-3408	348	41	a	a	DET
ejpam-3408	348	42	new	new	ADJ
ejpam-3408	348	43	nucleus	nucleus	NOUN
ejpam-3408	348	44	n	n	PROPN
ejpam-3408	348	45	.	.	PUNCT
ejpam-3408	349	1	the	the	DET
ejpam-3408	349	2	later	later	ADJ
ejpam-3408	349	3	sections	section	NOUN
ejpam-3408	349	4	of	of	ADP
ejpam-3408	349	5	his	his	PRON
ejpam-3408	349	6	study	study	NOUN
ejpam-3408	349	7	dealt	deal	VERB
ejpam-3408	349	8	mainly	mainly	ADV
ejpam-3408	349	9	with	with	ADP
ejpam-3408	349	10	results	result	NOUN
ejpam-3408	349	11	on	on	ADP
ejpam-3408	349	12	simple	simple	ADJ
ejpam-3408	349	13	right	right	ADJ
ejpam-3408	349	14	alternative	alternative	NOUN
ejpam-3408	349	15	algebras	algebra	NOUN
ejpam-3408	349	16	.	.	PUNCT
ejpam-3408	350	1	a	a	DET
ejpam-3408	350	2	simple	simple	ADJ
ejpam-3408	350	3	2	2	NUM
ejpam-3408	350	4	-	-	PUNCT
ejpam-3408	350	5	torsion	torsion	NOUN
ejpam-3408	350	6	free	free	ADJ
ejpam-3408	350	7	right	right	ADJ
ejpam-3408	350	8	alternative	alternative	ADJ
ejpam-3408	350	9	algebra	algebra	NOUN
ejpam-3408	350	10	is	be	AUX
ejpam-3408	350	11	either	either	CCONJ
ejpam-3408	350	12	alternative	alternative	ADJ
ejpam-3408	350	13	,	,	PUNCT
ejpam-3408	350	14	hence	hence	ADV
ejpam-3408	350	15	associative	associative	ADJ
ejpam-3408	350	16	or	or	CCONJ
ejpam-3408	350	17	cayley	cayley	ADJ
ejpam-3408	350	18	algebra	algebra	NOUN
ejpam-3408	350	19	over	over	ADP
ejpam-3408	350	20	its	its	PRON
ejpam-3408	350	21	center	center	NOUN
ejpam-3408	350	22	.	.	PUNCT
ejpam-3408	351	1	also	also	ADV
ejpam-3408	351	2	in	in	ADP
ejpam-3408	351	3	1975	1975	NUM
ejpam-3408	351	4	,	,	PUNCT
ejpam-3408	351	5	the	the	DET
ejpam-3408	351	6	work	work	NOUN
ejpam-3408	351	7	of	of	ADP
ejpam-3408	351	8	hentzel	hentzel	NOUN
ejpam-3408	351	9	[	[	X
ejpam-3408	351	10	83	83	NUM
ejpam-3408	351	11	]	]	PUNCT
ejpam-3408	351	12	was	be	AUX
ejpam-3408	351	13	dealt	deal	VERB
ejpam-3408	351	14	with	with	ADP
ejpam-3408	351	15	a	a	DET
ejpam-3408	351	16	gra	gra	PROPN
ejpam-3408	351	17	(	(	PUNCT
ejpam-3408	351	18	generalized	generalize	VERB
ejpam-3408	351	19	right	right	ADJ
ejpam-3408	351	20	alternative	alternative	NOUN
ejpam-3408	351	21	)	)	PUNCT
ejpam-3408	351	22	ring	ring	NOUN
ejpam-3408	351	23	r.	r.	PROPN
ejpam-3408	352	1	it	it	PRON
ejpam-3408	352	2	was	be	AUX
ejpam-3408	352	3	shown	show	VERB
ejpam-3408	352	4	that	that	SCONJ
ejpam-3408	352	5	i	i	PRON
ejpam-3408	352	6	is	be	AUX
ejpam-3408	352	7	an	an	DET
ejpam-3408	352	8	ideal	ideal	NOUN
ejpam-3408	352	9	of	of	ADP
ejpam-3408	352	10	r	r	NOUN
ejpam-3408	352	11	,	,	PUNCT
ejpam-3408	352	12	that	that	SCONJ
ejpam-3408	352	13	i	i	PRON
ejpam-3408	352	14	is	be	AUX
ejpam-3408	352	15	commutative	commutative	ADJ
ejpam-3408	352	16	,	,	PUNCT
ejpam-3408	352	17	and	and	CCONJ
ejpam-3408	352	18	that	that	SCONJ
ejpam-3408	352	19	i	i	PRON
ejpam-3408	352	20	is	be	AUX
ejpam-3408	352	21	the	the	DET
ejpam-3408	352	22	sum	sum	NOUN
ejpam-3408	352	23	of	of	ADP
ejpam-3408	352	24	ideals	ideal	NOUN
ejpam-3408	352	25	of	of	ADP
ejpam-3408	352	26	r	r	NOUN
ejpam-3408	352	27	whose	whose	DET
ejpam-3408	352	28	cube	cube	NOUN
ejpam-3408	352	29	is	be	AUX
ejpam-3408	352	30	zero	zero	NUM
ejpam-3408	352	31	.	.	PUNCT
ejpam-3408	353	1	this	this	PRON
ejpam-3408	353	2	means	mean	VERB
ejpam-3408	353	3	that	that	SCONJ
ejpam-3408	353	4	if	if	SCONJ
ejpam-3408	353	5	r	r	NOUN
ejpam-3408	353	6	is	be	AUX
ejpam-3408	353	7	simple	simple	ADJ
ejpam-3408	353	8	,	,	PUNCT
ejpam-3408	353	9	or	or	CCONJ
ejpam-3408	353	10	even	even	ADV
ejpam-3408	353	11	nil	nil	ADJ
ejpam-3408	353	12	-	-	PUNCT
ejpam-3408	353	13	semisimple	semisimple	NOUN
ejpam-3408	353	14	,	,	PUNCT
ejpam-3408	353	15	and	and	CCONJ
ejpam-3408	353	16	then	then	ADV
ejpam-3408	353	17	r	r	NOUN
ejpam-3408	353	18	is	be	AUX
ejpam-3408	353	19	right	right	ADJ
ejpam-3408	353	20	alternative	alternative	NOUN
ejpam-3408	353	21	.	.	PUNCT
ejpam-3408	354	1	since	since	SCONJ
ejpam-3408	354	2	all	all	DET
ejpam-3408	354	3	the	the	DET
ejpam-3408	354	4	hypotheses	hypothesis	NOUN
ejpam-3408	354	5	on	on	ADP
ejpam-3408	354	6	r	r	NOUN
ejpam-3408	354	7	are	be	AUX
ejpam-3408	354	8	consequences	consequence	NOUN
ejpam-3408	354	9	of	of	ADP
ejpam-3408	354	10	the	the	DET
ejpam-3408	354	11	right	right	ADJ
ejpam-3408	354	12	alternative	alternative	ADJ
ejpam-3408	354	13	law	law	NOUN
ejpam-3408	354	14	,	,	PUNCT
ejpam-3408	354	15	showing	show	VERB
ejpam-3408	354	16	that	that	SCONJ
ejpam-3408	354	17	r	r	NOUN
ejpam-3408	354	18	is	be	AUX
ejpam-3408	354	19	right	right	ADJ
ejpam-3408	354	20	alternative	alternative	NOUN
ejpam-3408	354	21	is	be	AUX
ejpam-3408	354	22	as	as	ADV
ejpam-3408	354	23	strong	strong	ADJ
ejpam-3408	354	24	a	a	DET
ejpam-3408	354	25	result	result	NOUN
ejpam-3408	354	26	.	.	PUNCT
ejpam-3408	355	1	also	also	ADV
ejpam-3408	355	2	he	he	PRON
ejpam-3408	355	3	considered	consider	VERB
ejpam-3408	355	4	that	that	SCONJ
ejpam-3408	355	5	the	the	DET
ejpam-3408	355	6	ideal	ideal	NOUN
ejpam-3408	355	7	generated	generate	VERB
ejpam-3408	355	8	by	by	ADP
ejpam-3408	355	9	each	each	DET
ejpam-3408	355	10	associator	associator	NOUN
ejpam-3408	355	11	of	of	ADP
ejpam-3408	355	12	the	the	DET
ejpam-3408	355	13	form	form	NOUN
ejpam-3408	355	14	(	(	PUNCT
ejpam-3408	355	15	a	a	DET
ejpam-3408	355	16	,	,	PUNCT
ejpam-3408	355	17	b	b	NOUN
ejpam-3408	355	18	,	,	PUNCT
ejpam-3408	355	19	b	b	NOUN
ejpam-3408	355	20	)	)	PUNCT
ejpam-3408	355	21	is	be	AUX
ejpam-3408	355	22	a	a	DET
ejpam-3408	355	23	nilpotent	nilpotent	ADJ
ejpam-3408	355	24	ideal	ideal	NOUN
ejpam-3408	355	25	of	of	ADP
ejpam-3408	355	26	index	index	NOUN
ejpam-3408	355	27	at	at	ADP
ejpam-3408	355	28	most	most	ADV
ejpam-3408	355	29	three	three	NUM
ejpam-3408	355	30	.	.	PUNCT
ejpam-3408	356	1	miheev	miheev	NOUN
ejpam-3408	357	1	[	[	X
ejpam-3408	357	2	183	183	NUM
ejpam-3408	357	3	]	]	PUNCT
ejpam-3408	357	4	in	in	ADP
ejpam-3408	357	5	1975	1975	NUM
ejpam-3408	357	6	constructed	construct	VERB
ejpam-3408	357	7	a	a	DET
ejpam-3408	357	8	finite	finite	ADJ
ejpam-3408	357	9	-	-	ADJ
ejpam-3408	357	10	dimensional	dimensional	ADJ
ejpam-3408	357	11	,	,	PUNCT
ejpam-3408	357	12	prime	prime	ADJ
ejpam-3408	357	13	,	,	PUNCT
ejpam-3408	357	14	right	right	ADJ
ejpam-3408	357	15	alternative	alternative	ADJ
ejpam-3408	357	16	nil	nil	ADJ
ejpam-3408	357	17	algebra	algebra	NOUN
ejpam-3408	357	18	with	with	ADP
ejpam-3408	357	19	nilpotent	nilpotent	ADJ
ejpam-3408	357	20	heart	heart	NOUN
ejpam-3408	357	21	.	.	PUNCT
ejpam-3408	358	1	thus	thus	ADV
ejpam-3408	358	2	a	a	DET
ejpam-3408	358	3	prime	prime	ADJ
ejpam-3408	358	4	right	right	ADJ
ejpam-3408	358	5	alternative	alternative	ADJ
ejpam-3408	358	6	ring	ring	NOUN
ejpam-3408	358	7	need	need	AUX
ejpam-3408	358	8	not	not	PART
ejpam-3408	358	9	be	be	AUX
ejpam-3408	358	10	s	s	NOUN
ejpam-3408	358	11	-	-	NOUN
ejpam-3408	358	12	prime	prime	NOUN
ejpam-3408	358	13	.	.	PUNCT
ejpam-3408	359	1	in	in	ADP
ejpam-3408	359	2	1976	1976	NUM
ejpam-3408	359	3	,	,	PUNCT
ejpam-3408	359	4	rich	rich	ADJ
ejpam-3408	359	5	[	[	X
ejpam-3408	359	6	203	203	NUM
ejpam-3408	359	7	]	]	PUNCT
ejpam-3408	359	8	discussed	discuss	VERB
ejpam-3408	359	9	the	the	DET
ejpam-3408	359	10	characterization	characterization	NOUN
ejpam-3408	359	11	by	by	ADP
ejpam-3408	359	12	levitzkiin	levitzkiin	NOUN
ejpam-3408	359	13	1951	1951	NUM
ejpam-3408	359	14	of	of	ADP
ejpam-3408	359	15	the	the	DET
ejpam-3408	359	16	prime	prime	ADJ
ejpam-3408	359	17	radical	radical	NOUN
ejpam-3408	359	18	of	of	ADP
ejpam-3408	359	19	an	an	DET
ejpam-3408	359	20	associative	associative	ADJ
ejpam-3408	359	21	ring	ring	NOUN
ejpam-3408	359	22	r	r	NOUN
ejpam-3408	359	23	as	as	SCONJ
ejpam-3408	359	24	the	the	DET
ejpam-3408	359	25	set	set	NOUN
ejpam-3408	359	26	of	of	ADP
ejpam-3408	359	27	strongly	strongly	ADV
ejpam-3408	359	28	nilpotent	nilpotent	ADJ
ejpam-3408	359	29	elements	element	NOUN
ejpam-3408	359	30	of	of	ADP
ejpam-3408	359	31	r	r	NOUN
ejpam-3408	359	32	was	be	AUX
ejpam-3408	359	33	adapted	adapt	VERB
ejpam-3408	359	34	to	to	PART
ejpam-3408	359	35	apply	apply	VERB
ejpam-3408	359	36	to	to	ADP
ejpam-3408	359	37	a	a	DET
ejpam-3408	359	38	wide	wide	ADJ
ejpam-3408	359	39	class	class	NOUN
ejpam-3408	359	40	of	of	ADP
ejpam-3408	359	41	non	non	ADJ
ejpam-3408	359	42	-	-	ADJ
ejpam-3408	359	43	associative	associative	ADJ
ejpam-3408	359	44	rings	ring	NOUN
ejpam-3408	359	45	.	.	PUNCT
ejpam-3408	360	1	as	as	ADP
ejpam-3408	360	2	a	a	DET
ejpam-3408	360	3	consequence	consequence	NOUN
ejpam-3408	360	4	it	it	PRON
ejpam-3408	360	5	was	be	AUX
ejpam-3408	360	6	shown	show	VERB
ejpam-3408	360	7	that	that	SCONJ
ejpam-3408	360	8	the	the	DET
ejpam-3408	360	9	a.	a.	NOUN
ejpam-3408	360	10	razzaque	razzaque	NOUN
ejpam-3408	360	11	et	et	PROPN
ejpam-3408	360	12	al	al	PROPN
ejpam-3408	360	13	.	.	PUNCT
ejpam-3408	360	14	/	/	SYM
ejpam-3408	360	15	eur	eur	PROPN
ejpam-3408	360	16	.	.	PUNCT
ejpam-3408	361	1	j.	j.	PROPN
ejpam-3408	361	2	pure	pure	PROPN
ejpam-3408	361	3	appl	appl	PROPN
ejpam-3408	361	4	.	.	PROPN
ejpam-3408	361	5	math	math	PROPN
ejpam-3408	361	6	,	,	PUNCT
ejpam-3408	361	7	12	12	NUM
ejpam-3408	361	8	(	(	PUNCT
ejpam-3408	361	9	2	2	NUM
ejpam-3408	361	10	)	)	PUNCT
ejpam-3408	361	11	(	(	PUNCT
ejpam-3408	361	12	2019	2019	NUM
ejpam-3408	361	13	)	)	PUNCT
ejpam-3408	361	14	,	,	PUNCT
ejpam-3408	361	15	370	370	NUM
ejpam-3408	361	16	-	-	SYM
ejpam-3408	361	17	408	408	NUM
ejpam-3408	361	18	381	381	NUM
ejpam-3408	361	19	prime	prime	ADJ
ejpam-3408	361	20	radical	radical	ADJ
ejpam-3408	361	21	is	be	AUX
ejpam-3408	361	22	a	a	DET
ejpam-3408	361	23	hereditary	hereditary	ADJ
ejpam-3408	361	24	radical	radical	NOUN
ejpam-3408	361	25	for	for	ADP
ejpam-3408	361	26	the	the	DET
ejpam-3408	361	27	class	class	NOUN
ejpam-3408	361	28	of	of	ADP
ejpam-3408	361	29	alternative	alternative	ADJ
ejpam-3408	361	30	rings	ring	NOUN
ejpam-3408	361	31	and	and	CCONJ
ejpam-3408	361	32	that	that	SCONJ
ejpam-3408	361	33	the	the	DET
ejpam-3408	361	34	prime	prime	ADJ
ejpam-3408	361	35	radical	radical	NOUN
ejpam-3408	361	36	of	of	ADP
ejpam-3408	361	37	an	an	DET
ejpam-3408	361	38	alternative	alternative	ADJ
ejpam-3408	361	39	ring	ring	NOUN
ejpam-3408	361	40	coincides	coincide	VERB
ejpam-3408	361	41	with	with	ADP
ejpam-3408	361	42	the	the	DET
ejpam-3408	361	43	prime	prime	ADJ
ejpam-3408	361	44	radical	radical	NOUN
ejpam-3408	361	45	of	of	ADP
ejpam-3408	361	46	its	its	PRON
ejpam-3408	361	47	attached	attach	VERB
ejpam-3408	361	48	jordan	jordan	PROPN
ejpam-3408	361	49	ring	ring	PROPN
ejpam-3408	361	50	.	.	PUNCT
ejpam-3408	362	1	in	in	ADP
ejpam-3408	362	2	1978	1978	NUM
ejpam-3408	362	3	,	,	PUNCT
ejpam-3408	362	4	rose	rise	VERB
ejpam-3408	362	5	[	[	X
ejpam-3408	362	6	204	204	NUM
ejpam-3408	362	7	]	]	PUNCT
ejpam-3408	362	8	first	first	ADV
ejpam-3408	362	9	gave	give	VERB
ejpam-3408	362	10	the	the	DET
ejpam-3408	362	11	brief	brief	ADJ
ejpam-3408	362	12	introduction	introduction	NOUN
ejpam-3408	362	13	of	of	ADP
ejpam-3408	362	14	cayley	cayley	ADJ
ejpam-3408	362	15	-	-	PUNCT
ejpam-3408	362	16	dickson	dickson	PROPN
ejpam-3408	362	17	algebra	algebra	PROPN
ejpam-3408	362	18	.	.	PUNCT
ejpam-3408	363	1	he	he	PRON
ejpam-3408	363	2	then	then	ADV
ejpam-3408	363	3	axiomatized	axiomatize	VERB
ejpam-3408	363	4	split	split	ADJ
ejpam-3408	363	5	cayley	cayley	ADJ
ejpam-3408	363	6	-	-	PUNCT
ejpam-3408	363	7	dickson	dickson	PROPN
ejpam-3408	363	8	algebras	algebras	PROPN
ejpam-3408	363	9	over	over	ADP
ejpam-3408	363	10	algebraically	algebraically	ADV
ejpam-3408	363	11	closed	close	VERB
ejpam-3408	363	12	fields	field	NOUN
ejpam-3408	363	13	and	and	CCONJ
ejpam-3408	363	14	showed	show	VERB
ejpam-3408	363	15	that	that	SCONJ
ejpam-3408	363	16	this	this	DET
ejpam-3408	363	17	theory	theory	NOUN
ejpam-3408	363	18	is	be	AUX
ejpam-3408	363	19	ℵ1	ℵ1	NOUN
ejpam-3408	363	20	-	-	PUNCT
ejpam-3408	363	21	categorical	categorical	ADJ
ejpam-3408	363	22	,	,	PUNCT
ejpam-3408	363	23	model	model	NOUN
ejpam-3408	363	24	complete	complete	ADJ
ejpam-3408	363	25	,	,	PUNCT
ejpam-3408	363	26	and	and	CCONJ
ejpam-3408	363	27	the	the	DET
ejpam-3408	363	28	model	model	NOUN
ejpam-3408	363	29	completion	completion	NOUN
ejpam-3408	363	30	of	of	ADP
ejpam-3408	363	31	the	the	DET
ejpam-3408	363	32	theory	theory	NOUN
ejpam-3408	363	33	of	of	ADP
ejpam-3408	363	34	cayley	cayley	ADJ
ejpam-3408	363	35	-	-	PUNCT
ejpam-3408	363	36	dickson	dickson	PROPN
ejpam-3408	363	37	algebras	algebra	NOUN
ejpam-3408	363	38	and	and	CCONJ
ejpam-3408	363	39	stability	stability	NOUN
ejpam-3408	363	40	in	in	ADP
ejpam-3408	363	41	alternative	alternative	ADJ
ejpam-3408	363	42	rings	ring	NOUN
ejpam-3408	363	43	.	.	PUNCT
ejpam-3408	364	1	he	he	PRON
ejpam-3408	364	2	also	also	ADV
ejpam-3408	364	3	generalized	generalize	VERB
ejpam-3408	364	4	ℵ0	ℵ0	PROPN
ejpam-3408	364	5	-	-	PUNCT
ejpam-3408	364	6	categoricity	categoricity	NOUN
ejpam-3408	364	7	in	in	ADP
ejpam-3408	364	8	associative	associative	ADJ
ejpam-3408	364	9	rings	ring	NOUN
ejpam-3408	364	10	to	to	ADP
ejpam-3408	364	11	ℵ0	ℵ0	PROPN
ejpam-3408	364	12	-	-	PUNCT
ejpam-3408	364	13	categoricity	categoricity	NOUN
ejpam-3408	364	14	in	in	ADP
ejpam-3408	364	15	alternative	alternative	ADJ
ejpam-3408	364	16	rings	ring	NOUN
ejpam-3408	364	17	.	.	PUNCT
ejpam-3408	365	1	in	in	ADP
ejpam-3408	365	2	1980	1980	NUM
ejpam-3408	365	3	,	,	PUNCT
ejpam-3408	365	4	wene	wene	NOUN
ejpam-3408	365	5	in	in	ADP
ejpam-3408	365	6	his	his	PRON
ejpam-3408	365	7	paper	paper	NOUN
ejpam-3408	365	8	[	[	X
ejpam-3408	365	9	256	256	NUM
ejpam-3408	365	10	]	]	PUNCT
ejpam-3408	365	11	characterized	characterize	VERB
ejpam-3408	365	12	those	those	DET
ejpam-3408	365	13	associative	associative	ADJ
ejpam-3408	365	14	rings	ring	NOUN
ejpam-3408	365	15	with	with	ADP
ejpam-3408	365	16	involutions	involution	NOUN
ejpam-3408	365	17	in	in	ADP
ejpam-3408	365	18	which	which	PRON
ejpam-3408	365	19	each	each	DET
ejpam-3408	365	20	symmetric	symmetric	ADJ
ejpam-3408	365	21	element	element	NOUN
ejpam-3408	365	22	is	be	AUX
ejpam-3408	365	23	nilpotent	nilpotent	ADJ
ejpam-3408	365	24	or	or	CCONJ
ejpam-3408	365	25	invertible	invertible	ADJ
ejpam-3408	365	26	.	.	PUNCT
ejpam-3408	366	1	analogous	analogous	ADJ
ejpam-3408	366	2	results	result	NOUN
ejpam-3408	366	3	were	be	AUX
ejpam-3408	366	4	obtained	obtain	VERB
ejpam-3408	366	5	for	for	ADP
ejpam-3408	366	6	alternative	alternative	ADJ
ejpam-3408	366	7	rings	ring	NOUN
ejpam-3408	366	8	.	.	PUNCT
ejpam-3408	367	1	the	the	DET
ejpam-3408	367	2	restriction	restriction	NOUN
ejpam-3408	367	3	was	be	AUX
ejpam-3408	367	4	further	far	ADV
ejpam-3408	367	5	relaxed	relaxed	ADJ
ejpam-3408	367	6	to	to	PART
ejpam-3408	367	7	require	require	VERB
ejpam-3408	367	8	only	only	ADV
ejpam-3408	367	9	that	that	SCONJ
ejpam-3408	367	10	each	each	DET
ejpam-3408	367	11	symmetric	symmetric	ADJ
ejpam-3408	367	12	element	element	NOUN
ejpam-3408	367	13	is	be	AUX
ejpam-3408	367	14	nilpotent	nilpotent	ADJ
ejpam-3408	367	15	or	or	CCONJ
ejpam-3408	367	16	some	some	DET
ejpam-3408	367	17	multiple	multiple	NOUN
ejpam-3408	367	18	is	be	AUX
ejpam-3408	367	19	a	a	DET
ejpam-3408	367	20	symmetric	symmetric	ADJ
ejpam-3408	367	21	idempotent	idempotent	NOUN
ejpam-3408	367	22	.	.	PUNCT
ejpam-3408	368	1	widiger	widiger	NOUN
ejpam-3408	369	1	[	[	X
ejpam-3408	369	2	257	257	NUM
ejpam-3408	369	3	]	]	X
ejpam-3408	369	4	in	in	ADP
ejpam-3408	369	5	1983	1983	NUM
ejpam-3408	369	6	considered	consider	VERB
ejpam-3408	369	7	the	the	DET
ejpam-3408	369	8	class	class	NOUN
ejpam-3408	369	9	of	of	ADP
ejpam-3408	369	10	all	all	DET
ejpam-3408	369	11	alternative	alternative	ADJ
ejpam-3408	369	12	rings	ring	NOUN
ejpam-3408	369	13	in	in	ADP
ejpam-3408	369	14	which	which	PRON
ejpam-3408	369	15	every	every	DET
ejpam-3408	369	16	proper	proper	ADJ
ejpam-3408	369	17	right	right	ADJ
ejpam-3408	369	18	ideal	ideal	NOUN
ejpam-3408	369	19	is	be	AUX
ejpam-3408	369	20	maximal	maximal	ADJ
ejpam-3408	369	21	.	.	PUNCT
ejpam-3408	370	1	moreover	moreover	ADV
ejpam-3408	370	2	,	,	PUNCT
ejpam-3408	370	3	he	he	PRON
ejpam-3408	370	4	used	use	VERB
ejpam-3408	370	5	the	the	DET
ejpam-3408	370	6	theory	theory	NOUN
ejpam-3408	370	7	of	of	ADP
ejpam-3408	370	8	artinian	artinian	ADJ
ejpam-3408	370	9	rings	ring	NOUN
ejpam-3408	370	10	for	for	ADP
ejpam-3408	370	11	his	his	PRON
ejpam-3408	370	12	study	study	NOUN
ejpam-3408	370	13	.	.	PUNCT
ejpam-3408	371	1	kleinfeld	kleinfeld	PROPN
ejpam-3408	372	1	[	[	X
ejpam-3408	372	2	142	142	NUM
ejpam-3408	372	3	]	]	PUNCT
ejpam-3408	372	4	in	in	ADP
ejpam-3408	372	5	1983	1983	NUM
ejpam-3408	372	6	examined	examine	VERB
ejpam-3408	372	7	that	that	SCONJ
ejpam-3408	372	8	a	a	DET
ejpam-3408	372	9	semiprime	semiprime	NOUN
ejpam-3408	372	10	alternative	alternative	NOUN
ejpam-3408	372	11	ring	ring	NOUN
ejpam-3408	372	12	can	can	AUX
ejpam-3408	372	13	have	have	VERB
ejpam-3408	372	14	no	no	DET
ejpam-3408	372	15	nonzero	nonzero	ADJ
ejpam-3408	372	16	anti	anti	ADJ
ejpam-3408	372	17	-	-	ADJ
ejpam-3408	372	18	commutative	commutative	ADJ
ejpam-3408	372	19	elements	element	NOUN
ejpam-3408	372	20	.	.	PUNCT
ejpam-3408	373	1	however	however	ADV
ejpam-3408	373	2	,	,	PUNCT
ejpam-3408	373	3	this	this	PRON
ejpam-3408	373	4	was	be	AUX
ejpam-3408	373	5	not	not	PART
ejpam-3408	373	6	so	so	ADV
ejpam-3408	373	7	for	for	ADP
ejpam-3408	373	8	prime	prime	ADJ
ejpam-3408	373	9	right	right	ADJ
ejpam-3408	373	10	alternative	alternative	ADJ
ejpam-3408	373	11	rings	ring	NOUN
ejpam-3408	373	12	in	in	ADP
ejpam-3408	373	13	general	general	ADJ
ejpam-3408	373	14	.	.	PUNCT
ejpam-3408	374	1	in	in	ADP
ejpam-3408	374	2	1988	1988	NUM
ejpam-3408	374	3	,	,	PUNCT
ejpam-3408	374	4	essannouni	essannouni	NOUN
ejpam-3408	374	5	and	and	CCONJ
ejpam-3408	374	6	kaidi	kaidi	VERB
ejpam-3408	374	7	[	[	PUNCT
ejpam-3408	374	8	47	47	NUM
ejpam-3408	374	9	]	]	PUNCT
ejpam-3408	374	10	proved	prove	VERB
ejpam-3408	374	11	the	the	DET
ejpam-3408	374	12	natural	natural	ADJ
ejpam-3408	374	13	extension	extension	NOUN
ejpam-3408	374	14	to	to	ADP
ejpam-3408	374	15	alternative	alternative	ADJ
ejpam-3408	374	16	rings	ring	NOUN
ejpam-3408	374	17	of	of	ADP
ejpam-3408	374	18	the	the	DET
ejpam-3408	374	19	classical	classical	ADJ
ejpam-3408	374	20	goldie	goldie	PROPN
ejpam-3408	374	21	theorem	theorem	NOUN
ejpam-3408	374	22	for	for	ADP
ejpam-3408	374	23	semiprime	semiprime	NOUN
ejpam-3408	374	24	associative	associative	PROPN
ejpam-3408	374	25	rings	ring	NOUN
ejpam-3408	374	26	.	.	PUNCT
ejpam-3408	375	1	in	in	ADP
ejpam-3408	375	2	1994	1994	NUM
ejpam-3408	375	3	,	,	PUNCT
ejpam-3408	375	4	essannounia	essannounia	NOUN
ejpam-3408	375	5	and	and	CCONJ
ejpam-3408	375	6	kaidi	kaidi	NOUN
ejpam-3408	375	7	[	[	PUNCT
ejpam-3408	375	8	48	48	NUM
ejpam-3408	375	9	]	]	PUNCT
ejpam-3408	375	10	discovered	discover	VERB
ejpam-3408	375	11	that	that	SCONJ
ejpam-3408	375	12	the	the	DET
ejpam-3408	375	13	socle	socle	NOUN
ejpam-3408	375	14	of	of	ADP
ejpam-3408	375	15	a	a	DET
ejpam-3408	375	16	semiprime	semiprime	NOUN
ejpam-3408	375	17	goldie	goldie	PROPN
ejpam-3408	375	18	ring	ring	PROPN
ejpam-3408	375	19	is	be	AUX
ejpam-3408	375	20	generated	generate	VERB
ejpam-3408	375	21	by	by	ADP
ejpam-3408	375	22	a	a	DET
ejpam-3408	375	23	central	central	ADJ
ejpam-3408	375	24	idempotent	idempotent	NOUN
ejpam-3408	375	25	and	and	CCONJ
ejpam-3408	375	26	that	that	SCONJ
ejpam-3408	375	27	a	a	DET
ejpam-3408	375	28	prime	prime	PROPN
ejpam-3408	375	29	goldie	goldie	PROPN
ejpam-3408	375	30	ring	ring	NOUN
ejpam-3408	375	31	with	with	ADP
ejpam-3408	375	32	a	a	DET
ejpam-3408	375	33	nonzero	nonzero	NOUN
ejpam-3408	375	34	socle	socle	NOUN
ejpam-3408	375	35	is	be	AUX
ejpam-3408	375	36	a	a	DET
ejpam-3408	375	37	simple	simple	ADJ
ejpam-3408	375	38	artinian	artinian	ADJ
ejpam-3408	375	39	ring	ring	NOUN
ejpam-3408	375	40	.	.	PUNCT
ejpam-3408	376	1	they	they	PRON
ejpam-3408	376	2	also	also	ADV
ejpam-3408	376	3	extended	extend	VERB
ejpam-3408	376	4	these	these	DET
ejpam-3408	376	5	results	result	NOUN
ejpam-3408	376	6	to	to	ADP
ejpam-3408	376	7	alternative	alternative	ADJ
ejpam-3408	376	8	rings	ring	NOUN
ejpam-3408	376	9	.	.	PUNCT
ejpam-3408	377	1	they	they	PRON
ejpam-3408	377	2	had	have	AUX
ejpam-3408	377	3	given	give	VERB
ejpam-3408	377	4	an	an	DET
ejpam-3408	377	5	analogue	analogue	NOUN
ejpam-3408	377	6	of	of	ADP
ejpam-3408	377	7	goldie	goldie	PROPN
ejpam-3408	377	8	’s	’s	PART
ejpam-3408	377	9	theorem	theorem	NOUN
ejpam-3408	377	10	for	for	ADP
ejpam-3408	377	11	alternative	alternative	ADJ
ejpam-3408	377	12	rings	ring	NOUN
ejpam-3408	377	13	.	.	PUNCT
ejpam-3408	378	1	a	a	PRON
ejpam-3408	378	2	goldie	goldie	PROPN
ejpam-3408	378	3	like	like	ADP
ejpam-3408	378	4	theorem	theorem	NOUN
ejpam-3408	378	5	was	be	AUX
ejpam-3408	378	6	obtained	obtain	VERB
ejpam-3408	378	7	earlier	early	ADV
ejpam-3408	378	8	by	by	ADP
ejpam-3408	378	9	the	the	DET
ejpam-3408	378	10	authors	author	NOUN
ejpam-3408	378	11	for	for	ADP
ejpam-3408	378	12	noetherian	noetherian	ADJ
ejpam-3408	378	13	alternative	alternative	ADJ
ejpam-3408	378	14	rings	ring	NOUN
ejpam-3408	378	15	by	by	ADP
ejpam-3408	378	16	a	a	DET
ejpam-3408	378	17	quite	quite	ADV
ejpam-3408	378	18	different	different	ADJ
ejpam-3408	378	19	method	method	NOUN
ejpam-3408	378	20	.	.	PUNCT
ejpam-3408	379	1	also	also	ADV
ejpam-3408	379	2	in	in	ADP
ejpam-3408	379	3	1994	1994	NUM
ejpam-3408	379	4	,	,	PUNCT
ejpam-3408	379	5	kleinfeld	kleinfeld	PROPN
ejpam-3408	379	6	and	and	CCONJ
ejpam-3408	379	7	smith	smith	PROPN
ejpam-3408	380	1	[	[	X
ejpam-3408	380	2	143	143	NUM
ejpam-3408	380	3	]	]	PUNCT
ejpam-3408	380	4	discussed	discuss	VERB
ejpam-3408	380	5	that	that	SCONJ
ejpam-3408	380	6	a	a	DET
ejpam-3408	380	7	ring	ring	NOUN
ejpam-3408	380	8	is	be	AUX
ejpam-3408	380	9	called	call	VERB
ejpam-3408	380	10	s	s	NOUN
ejpam-3408	380	11	-	-	NOUN
ejpam-3408	380	12	prime	prime	NOUN
ejpam-3408	380	13	if	if	SCONJ
ejpam-3408	380	14	the	the	DET
ejpam-3408	380	15	2	2	NUM
ejpam-3408	380	16	-	-	PUNCT
ejpam-3408	380	17	sided	sided	ADJ
ejpam-3408	380	18	annihilator	annihilator	NOUN
ejpam-3408	380	19	of	of	ADP
ejpam-3408	380	20	a	a	DET
ejpam-3408	380	21	nonzero	nonzero	NOUN
ejpam-3408	380	22	ideal	ideal	NOUN
ejpam-3408	380	23	must	must	AUX
ejpam-3408	380	24	be	be	AUX
ejpam-3408	380	25	zero	zero	NUM
ejpam-3408	380	26	.	.	PUNCT
ejpam-3408	381	1	in	in	ADP
ejpam-3408	381	2	particular	particular	ADJ
ejpam-3408	381	3	,	,	PUNCT
ejpam-3408	381	4	any	any	DET
ejpam-3408	381	5	simple	simple	ADJ
ejpam-3408	381	6	ring	ring	NOUN
ejpam-3408	381	7	or	or	CCONJ
ejpam-3408	381	8	prime	prime	NOUN
ejpam-3408	381	9	(	(	PUNCT
ejpam-3408	381	10	−1	−1	NOUN
ejpam-3408	381	11	,	,	PUNCT
ejpam-3408	381	12	1	1	X
ejpam-3408	381	13	)	)	PUNCT
ejpam-3408	381	14	ring	ring	NOUN
ejpam-3408	381	15	is	be	AUX
ejpam-3408	381	16	s	s	NOUN
ejpam-3408	381	17	-	-	NOUN
ejpam-3408	381	18	prime	prime	NOUN
ejpam-3408	381	19	.	.	PUNCT
ejpam-3408	382	1	also	also	ADV
ejpam-3408	382	2	,	,	PUNCT
ejpam-3408	382	3	a	a	DET
ejpam-3408	382	4	nonzero	nonzero	ADJ
ejpam-3408	382	5	s	s	NOUN
ejpam-3408	382	6	-	-	PUNCT
ejpam-3408	382	7	prime	prime	ADJ
ejpam-3408	382	8	right	right	ADJ
ejpam-3408	382	9	alternative	alternative	ADJ
ejpam-3408	382	10	ring	ring	NOUN
ejpam-3408	382	11	,	,	PUNCT
ejpam-3408	382	12	with	with	ADP
ejpam-3408	382	13	characteristic6=	characteristic6=	NOUN
ejpam-3408	382	14	2	2	NUM
ejpam-3408	382	15	,	,	PUNCT
ejpam-3408	382	16	can	can	AUX
ejpam-3408	382	17	not	not	PART
ejpam-3408	382	18	be	be	AUX
ejpam-3408	382	19	right	right	ADJ
ejpam-3408	382	20	nilpotent	nilpotent	ADJ
ejpam-3408	382	21	.	.	PUNCT
ejpam-3408	383	1	in	in	ADP
ejpam-3408	383	2	2000	2000	NUM
ejpam-3408	383	3	,	,	PUNCT
ejpam-3408	383	4	goodaire	goodaire	VERB
ejpam-3408	383	5	[	[	X
ejpam-3408	383	6	59	59	NUM
ejpam-3408	383	7	]	]	PUNCT
ejpam-3408	383	8	developed	develop	VERB
ejpam-3408	383	9	that	that	PRON
ejpam-3408	383	10	for	for	ADP
ejpam-3408	383	11	a	a	DET
ejpam-3408	383	12	right	right	ADJ
ejpam-3408	383	13	alternative	alternative	ADJ
ejpam-3408	383	14	ring	ring	NOUN
ejpam-3408	383	15	r	r	NOUN
ejpam-3408	383	16	,	,	PUNCT
ejpam-3408	383	17	the	the	DET
ejpam-3408	383	18	magma	magma	NOUN
ejpam-3408	383	19	(	(	PUNCT
ejpam-3408	383	20	r	r	NOUN
ejpam-3408	383	21	,	,	PUNCT
ejpam-3408	383	22	◦	◦	NOUN
ejpam-3408	383	23	)	)	PUNCT
ejpam-3408	383	24	is	be	AUX
ejpam-3408	383	25	right	right	ADJ
ejpam-3408	383	26	alternative	alternative	NOUN
ejpam-3408	383	27	,	,	PUNCT
ejpam-3408	383	28	that	that	ADV
ejpam-3408	383	29	is	is	ADV
ejpam-3408	383	30	,	,	PUNCT
ejpam-3408	383	31	(	(	PUNCT
ejpam-3408	383	32	x	x	SYM
ejpam-3408	384	1	◦	◦	VERB
ejpam-3408	384	2	y	y	NOUN
ejpam-3408	384	3	)	)	PUNCT
ejpam-3408	384	4	◦	◦	NOUN
ejpam-3408	384	5	y	y	NOUN
ejpam-3408	385	1	=	=	PUNCT
ejpam-3408	385	2	x	x	PUNCT
ejpam-3408	385	3	◦	◦	NOUN
ejpam-3408	385	4	(	(	PUNCT
ejpam-3408	385	5	y	y	PROPN
ejpam-3408	385	6	◦	◦	VERB
ejpam-3408	385	7	y	y	PROPN
ejpam-3408	385	8	)	)	PUNCT
ejpam-3408	385	9	,	,	PUNCT
ejpam-3408	385	10	and	and	CCONJ
ejpam-3408	385	11	if	if	SCONJ
ejpam-3408	385	12	r	r	NOUN
ejpam-3408	385	13	is	be	AUX
ejpam-3408	385	14	strongly	strongly	ADV
ejpam-3408	385	15	right	right	ADJ
ejpam-3408	385	16	alternative	alternative	NOUN
ejpam-3408	385	17	,	,	PUNCT
ejpam-3408	385	18	then	then	ADV
ejpam-3408	385	19	(	(	PUNCT
ejpam-3408	385	20	r	r	NOUN
ejpam-3408	385	21	,	,	PUNCT
ejpam-3408	385	22	◦	◦	NOUN
ejpam-3408	385	23	)	)	PUNCT
ejpam-3408	385	24	is	be	AUX
ejpam-3408	385	25	a	a	DET
ejpam-3408	385	26	bol	bol	NOUN
ejpam-3408	385	27	magma	magma	NOUN
ejpam-3408	385	28	with	with	ADP
ejpam-3408	385	29	neutral	neutral	ADJ
ejpam-3408	385	30	element	element	NOUN
ejpam-3408	385	31	0	0	NUM
ejpam-3408	385	32	.	.	PUNCT
ejpam-3408	386	1	moreover	moreover	ADV
ejpam-3408	386	2	,	,	PUNCT
ejpam-3408	386	3	in	in	ADP
ejpam-3408	386	4	2001	2001	NUM
ejpam-3408	386	5	,	,	PUNCT
ejpam-3408	386	6	goodaire	goodaire	NOUN
ejpam-3408	387	1	[	[	X
ejpam-3408	387	2	60	60	NUM
ejpam-3408	387	3	]	]	PUNCT
ejpam-3408	387	4	showed	show	VERB
ejpam-3408	387	5	that	that	SCONJ
ejpam-3408	387	6	in	in	ADP
ejpam-3408	387	7	a	a	DET
ejpam-3408	387	8	strongly	strongly	ADV
ejpam-3408	387	9	right	right	ADJ
ejpam-3408	387	10	alternative	alternative	ADJ
ejpam-3408	387	11	ring	ring	NOUN
ejpam-3408	387	12	with	with	ADP
ejpam-3408	387	13	unity	unity	NOUN
ejpam-3408	387	14	,	,	PUNCT
ejpam-3408	387	15	it	it	PRON
ejpam-3408	387	16	was	be	AUX
ejpam-3408	387	17	known	know	VERB
ejpam-3408	387	18	that	that	SCONJ
ejpam-3408	387	19	if	if	SCONJ
ejpam-3408	387	20	u(r	u(r	PROPN
ejpam-3408	387	21	)	)	PUNCT
ejpam-3408	387	22	is	be	AUX
ejpam-3408	387	23	closed	close	VERB
ejpam-3408	387	24	under	under	ADP
ejpam-3408	387	25	multiplication	multiplication	NOUN
ejpam-3408	387	26	,	,	PUNCT
ejpam-3408	387	27	then	then	ADV
ejpam-3408	387	28	u(r	u(r	NOUN
ejpam-3408	387	29	)	)	PUNCT
ejpam-3408	387	30	is	be	AUX
ejpam-3408	387	31	a	a	DET
ejpam-3408	387	32	bol	bol	NOUN
ejpam-3408	387	33	loop	loop	NOUN
ejpam-3408	387	34	.	.	PUNCT
ejpam-3408	388	1	kenneth	kenneth	PROPN
ejpam-3408	388	2	kunen	kunen	PROPN
ejpam-3408	388	3	and	and	CCONJ
ejpam-3408	388	4	phillips	phillip	NOUN
ejpam-3408	389	1	[	[	X
ejpam-3408	389	2	163	163	NUM
ejpam-3408	389	3	]	]	PUNCT
ejpam-3408	389	4	in	in	ADP
ejpam-3408	389	5	2005	2005	NUM
ejpam-3408	389	6	partially	partially	ADV
ejpam-3408	389	7	answered	answer	VERB
ejpam-3408	389	8	two	two	NUM
ejpam-3408	389	9	questions	question	NOUN
ejpam-3408	389	10	of	of	ADP
ejpam-3408	389	11	goodaire	goodaire	NOUN
ejpam-3408	389	12	by	by	ADP
ejpam-3408	389	13	showing	show	VERB
ejpam-3408	389	14	that	that	SCONJ
ejpam-3408	389	15	in	in	ADP
ejpam-3408	389	16	a	a	DET
ejpam-3408	389	17	finite	finite	NOUN
ejpam-3408	389	18	,	,	PUNCT
ejpam-3408	389	19	strongly	strongly	ADV
ejpam-3408	389	20	right	right	ADJ
ejpam-3408	389	21	alternative	alternative	ADJ
ejpam-3408	389	22	ring	ring	NOUN
ejpam-3408	389	23	,	,	PUNCT
ejpam-3408	389	24	the	the	DET
ejpam-3408	389	25	set	set	NOUN
ejpam-3408	389	26	of	of	ADP
ejpam-3408	389	27	units	unit	NOUN
ejpam-3408	389	28	(	(	PUNCT
ejpam-3408	389	29	if	if	SCONJ
ejpam-3408	389	30	the	the	DET
ejpam-3408	389	31	ring	ring	NOUN
ejpam-3408	389	32	is	be	AUX
ejpam-3408	389	33	with	with	ADP
ejpam-3408	389	34	unity	unity	NOUN
ejpam-3408	389	35	)	)	PUNCT
ejpam-3408	389	36	is	be	AUX
ejpam-3408	389	37	a	a	DET
ejpam-3408	389	38	bol	bol	NOUN
ejpam-3408	389	39	loop	loop	NOUN
ejpam-3408	389	40	under	under	ADP
ejpam-3408	389	41	ring	ring	NOUN
ejpam-3408	389	42	multiplication	multiplication	NOUN
ejpam-3408	389	43	,	,	PUNCT
ejpam-3408	389	44	and	and	CCONJ
ejpam-3408	389	45	the	the	DET
ejpam-3408	389	46	set	set	NOUN
ejpam-3408	389	47	of	of	ADP
ejpam-3408	389	48	quasi	quasi	ADJ
ejpam-3408	389	49	-	-	ADJ
ejpam-3408	389	50	regular	regular	ADJ
ejpam-3408	389	51	elements	element	NOUN
ejpam-3408	389	52	is	be	AUX
ejpam-3408	389	53	a	a	DET
ejpam-3408	389	54	bol	bol	NOUN
ejpam-3408	389	55	loop	loop	NOUN
ejpam-3408	389	56	under	under	ADP
ejpam-3408	389	57	circle	circle	NOUN
ejpam-3408	389	58	multiplication	multiplication	NOUN
ejpam-3408	389	59	.	.	PUNCT
ejpam-3408	390	1	again	again	ADV
ejpam-3408	390	2	in	in	ADP
ejpam-3408	390	3	2005	2005	NUM
ejpam-3408	390	4	,	,	PUNCT
ejpam-3408	390	5	cárdenas	cárdenas	PROPN
ejpam-3408	390	6	et.al	et.al	PROPN
ejpam-3408	390	7	.	.	PUNCT
ejpam-3408	390	8	,	,	PUNCT
ejpam-3408	391	1	[	[	X
ejpam-3408	391	2	154	154	NUM
ejpam-3408	391	3	]	]	PUNCT
ejpam-3408	391	4	studied	study	VERB
ejpam-3408	391	5	the	the	DET
ejpam-3408	391	6	notion	notion	NOUN
ejpam-3408	391	7	of	of	ADP
ejpam-3408	391	8	a	a	DET
ejpam-3408	391	9	(	(	PUNCT
ejpam-3408	391	10	general	general	ADJ
ejpam-3408	391	11	)	)	PUNCT
ejpam-3408	391	12	left	leave	VERB
ejpam-3408	391	13	quotient	quotient	NOUN
ejpam-3408	391	14	ring	ring	NOUN
ejpam-3408	391	15	of	of	ADP
ejpam-3408	391	16	an	an	DET
ejpam-3408	391	17	alternative	alternative	ADJ
ejpam-3408	391	18	ring	ring	NOUN
ejpam-3408	391	19	and	and	CCONJ
ejpam-3408	391	20	showed	show	VERB
ejpam-3408	391	21	the	the	DET
ejpam-3408	391	22	existence	existence	NOUN
ejpam-3408	391	23	of	of	ADP
ejpam-3408	391	24	a	a	DET
ejpam-3408	391	25	maximal	maximal	ADJ
ejpam-3408	391	26	left	leave	VERB
ejpam-3408	391	27	quotient	quotient	NOUN
ejpam-3408	391	28	ring	ring	NOUN
ejpam-3408	391	29	for	for	ADP
ejpam-3408	391	30	every	every	DET
ejpam-3408	391	31	alternative	alternative	ADJ
ejpam-3408	391	32	ring	ring	NOUN
ejpam-3408	391	33	that	that	PRON
ejpam-3408	391	34	is	be	AUX
ejpam-3408	391	35	a	a	DET
ejpam-3408	391	36	left	left	ADJ
ejpam-3408	391	37	quotient	quotient	NOUN
ejpam-3408	391	38	ring	ring	NOUN
ejpam-3408	391	39	of	of	ADP
ejpam-3408	391	40	itself	itself	PRON
ejpam-3408	391	41	.	.	PUNCT
ejpam-3408	392	1	in	in	ADP
ejpam-3408	392	2	2007	2007	NUM
ejpam-3408	392	3	,	,	PUNCT
ejpam-3408	392	4	lozano	lozano	PROPN
ejpam-3408	392	5	and	and	CCONJ
ejpam-3408	392	6	molina	molina	PROPN
ejpam-3408	392	7	[	[	X
ejpam-3408	392	8	162	162	NUM
ejpam-3408	392	9	]	]	PUNCT
ejpam-3408	392	10	developed	develop	VERB
ejpam-3408	392	11	a	a	DET
ejpam-3408	392	12	fountain	fountain	NOUN
ejpam-3408	392	13	gould	gould	NOUN
ejpam-3408	392	14	-	-	PUNCT
ejpam-3408	392	15	like	like	ADJ
ejpam-3408	392	16	goldie	goldie	PROPN
ejpam-3408	392	17	theory	theory	NOUN
ejpam-3408	392	18	for	for	ADP
ejpam-3408	392	19	alternative	alternative	ADJ
ejpam-3408	392	20	rings	ring	NOUN
ejpam-3408	392	21	.	.	PUNCT
ejpam-3408	393	1	they	they	PRON
ejpam-3408	393	2	characterized	characterize	VERB
ejpam-3408	393	3	alternative	alternative	ADJ
ejpam-3408	393	4	rings	ring	NOUN
ejpam-3408	393	5	which	which	PRON
ejpam-3408	393	6	were	be	AUX
ejpam-3408	393	7	fountain	fountain	NOUN
ejpam-3408	393	8	-	-	PUNCT
ejpam-3408	393	9	gould	gould	NOUN
ejpam-3408	393	10	left	leave	VERB
ejpam-3408	393	11	orders	order	NOUN
ejpam-3408	393	12	in	in	ADP
ejpam-3408	393	13	semiprime	semiprime	NOUN
ejpam-3408	393	14	alternative	alternative	NOUN
ejpam-3408	393	15	rings	ring	NOUN
ejpam-3408	393	16	coinciding	coincide	VERB
ejpam-3408	393	17	with	with	ADP
ejpam-3408	393	18	their	their	PRON
ejpam-3408	393	19	socle	socle	NOUN
ejpam-3408	393	20	,	,	PUNCT
ejpam-3408	393	21	and	and	CCONJ
ejpam-3408	393	22	those	those	PRON
ejpam-3408	393	23	which	which	PRON
ejpam-3408	393	24	were	be	AUX
ejpam-3408	393	25	fountain	fountain	NOUN
ejpam-3408	393	26	-	-	PUNCT
ejpam-3408	393	27	gould	gould	NOUN
ejpam-3408	393	28	left	leave	VERB
ejpam-3408	393	29	orders	order	NOUN
ejpam-3408	393	30	in	in	ADP
ejpam-3408	393	31	semiprime	semiprime	NOUN
ejpam-3408	393	32	artinian	artinian	ADJ
ejpam-3408	393	33	alternative	alternative	ADJ
ejpam-3408	393	34	rings	ring	NOUN
ejpam-3408	393	35	.	.	PUNCT
ejpam-3408	394	1	furthermore	furthermore	ADV
ejpam-3408	394	2	,	,	PUNCT
ejpam-3408	394	3	bharathi	bharathi	PROPN
ejpam-3408	394	4	et	et	PROPN
ejpam-3408	394	5	al	al	PROPN
ejpam-3408	394	6	.	.	PROPN
ejpam-3408	394	7	,	,	PUNCT
ejpam-3408	395	1	[	[	X
ejpam-3408	395	2	35	35	NUM
ejpam-3408	395	3	]	]	PUNCT
ejpam-3408	395	4	in	in	ADP
ejpam-3408	395	5	2013	2013	NUM
ejpam-3408	395	6	proved	prove	VERB
ejpam-3408	395	7	that	that	SCONJ
ejpam-3408	395	8	if	if	SCONJ
ejpam-3408	395	9	r	r	NOUN
ejpam-3408	395	10	is	be	AUX
ejpam-3408	395	11	a	a	DET
ejpam-3408	395	12	semiprime	semiprime	NOUN
ejpam-3408	395	13	and	and	CCONJ
ejpam-3408	395	14	purely	purely	ADV
ejpam-3408	395	15	non	non	ADJ
ejpam-3408	395	16	-	-	ADJ
ejpam-3408	395	17	associative	associative	ADJ
ejpam-3408	395	18	right	right	ADJ
ejpam-3408	395	19	alternative	alternative	ADJ
ejpam-3408	395	20	ring	ring	NOUN
ejpam-3408	395	21	,	,	PUNCT
ejpam-3408	395	22	then	then	ADV
ejpam-3408	395	23	n	n	PROPN
ejpam-3408	395	24	=	=	PROPN
ejpam-3408	395	25	c.	c.	NOUN
ejpam-3408	395	26	they	they	PRON
ejpam-3408	395	27	also	also	ADV
ejpam-3408	395	28	showed	show	VERB
ejpam-3408	395	29	that	that	SCONJ
ejpam-3408	395	30	the	the	DET
ejpam-3408	395	31	right	right	ADJ
ejpam-3408	395	32	nucleus	nucleus	PROPN
ejpam-3408	395	33	nr	nr	PROPN
ejpam-3408	396	1	=	=	PUNCT
ejpam-3408	396	2	c	c	NOUN
ejpam-3408	396	3	if	if	SCONJ
ejpam-3408	396	4	r	r	NOUN
ejpam-3408	396	5	is	be	AUX
ejpam-3408	396	6	purely	purely	ADV
ejpam-3408	396	7	non	non	ADJ
ejpam-3408	396	8	-	-	ADJ
ejpam-3408	396	9	associative	associative	ADJ
ejpam-3408	396	10	provided	provide	VERB
ejpam-3408	396	11	that	that	SCONJ
ejpam-3408	396	12	either	either	CCONJ
ejpam-3408	396	13	r	r	NOUN
ejpam-3408	396	14	has	have	AUX
ejpam-3408	396	15	no	no	DET
ejpam-3408	396	16	locally	locally	ADV
ejpam-3408	396	17	nilpotent	nilpotent	ADJ
ejpam-3408	396	18	ideals	ideal	NOUN
ejpam-3408	396	19	or	or	CCONJ
ejpam-3408	396	20	r	r	NOUN
ejpam-3408	396	21	is	be	AUX
ejpam-3408	396	22	semi	semi	ADJ
ejpam-3408	396	23	-	-	ADJ
ejpam-3408	396	24	prime	prime	ADJ
ejpam-3408	396	25	and	and	CCONJ
ejpam-3408	396	26	finitely	finitely	ADV
ejpam-3408	396	27	generated	generate	VERB
ejpam-3408	396	28	mod	mod	PROPN
ejpam-3408	396	29	nr	nr	PROPN
ejpam-3408	396	30	.	.	PROPN
ejpam-3408	397	1	in	in	ADP
ejpam-3408	397	2	2014	2014	NUM
ejpam-3408	397	3	,	,	PUNCT
ejpam-3408	397	4	cárdenas	cárdenas	PROPN
ejpam-3408	397	5	et	et	PROPN
ejpam-3408	397	6	al	al	PROPN
ejpam-3408	397	7	.	.	PROPN
ejpam-3408	397	8	,	,	PUNCT
ejpam-3408	397	9	[	[	X
ejpam-3408	397	10	155	155	NUM
ejpam-3408	397	11	]	]	PUNCT
ejpam-3408	397	12	introduced	introduce	VERB
ejpam-3408	397	13	a.	a.	NOUN
ejpam-3408	397	14	razzaque	razzaque	NOUN
ejpam-3408	397	15	et	et	PROPN
ejpam-3408	397	16	al	al	PROPN
ejpam-3408	397	17	.	.	PUNCT
ejpam-3408	397	18	/	/	SYM
ejpam-3408	397	19	eur	eur	PROPN
ejpam-3408	397	20	.	.	PUNCT
ejpam-3408	398	1	j.	j.	PROPN
ejpam-3408	398	2	pure	pure	PROPN
ejpam-3408	398	3	appl	appl	PROPN
ejpam-3408	398	4	.	.	PROPN
ejpam-3408	398	5	math	math	PROPN
ejpam-3408	398	6	,	,	PUNCT
ejpam-3408	398	7	12	12	NUM
ejpam-3408	398	8	(	(	PUNCT
ejpam-3408	398	9	2	2	NUM
ejpam-3408	398	10	)	)	PUNCT
ejpam-3408	398	11	(	(	PUNCT
ejpam-3408	398	12	2019	2019	NUM
ejpam-3408	398	13	)	)	PUNCT
ejpam-3408	398	14	,	,	PUNCT
ejpam-3408	398	15	370	370	NUM
ejpam-3408	398	16	-	-	SYM
ejpam-3408	398	17	408	408	NUM
ejpam-3408	398	18	382	382	NUM
ejpam-3408	398	19	a	a	DET
ejpam-3408	398	20	notion	notion	NOUN
ejpam-3408	398	21	of	of	ADP
ejpam-3408	398	22	left	leave	VERB
ejpam-3408	398	23	non	non	ADJ
ejpam-3408	398	24	-	-	NOUN
ejpam-3408	398	25	singularity	singularity	NOUN
ejpam-3408	398	26	for	for	ADP
ejpam-3408	398	27	alternative	alternative	ADJ
ejpam-3408	398	28	rings	ring	NOUN
ejpam-3408	398	29	and	and	CCONJ
ejpam-3408	398	30	proved	prove	VERB
ejpam-3408	398	31	that	that	SCONJ
ejpam-3408	398	32	an	an	DET
ejpam-3408	398	33	alternative	alternative	ADJ
ejpam-3408	398	34	ring	ring	NOUN
ejpam-3408	398	35	is	be	AUX
ejpam-3408	398	36	left	leave	VERB
ejpam-3408	398	37	non	non	ADJ
ejpam-3408	398	38	-	-	ADJ
ejpam-3408	398	39	singular	singular	ADJ
ejpam-3408	398	40	if	if	SCONJ
ejpam-3408	398	41	and	and	CCONJ
ejpam-3408	398	42	only	only	ADV
ejpam-3408	398	43	if	if	SCONJ
ejpam-3408	398	44	every	every	DET
ejpam-3408	398	45	essential	essential	ADJ
ejpam-3408	398	46	left	left	ADJ
ejpam-3408	398	47	ideal	ideal	NOUN
ejpam-3408	398	48	is	be	AUX
ejpam-3408	398	49	dense	dense	ADJ
ejpam-3408	398	50	,	,	PUNCT
ejpam-3408	398	51	if	if	SCONJ
ejpam-3408	398	52	and	and	CCONJ
ejpam-3408	398	53	only	only	ADV
ejpam-3408	398	54	if	if	SCONJ
ejpam-3408	398	55	its	its	PRON
ejpam-3408	398	56	maximal	maximal	ADJ
ejpam-3408	398	57	left	leave	VERB
ejpam-3408	398	58	quotient	quotient	NOUN
ejpam-3408	398	59	ring	ring	NOUN
ejpam-3408	398	60	is	be	AUX
ejpam-3408	398	61	von	von	PROPN
ejpam-3408	398	62	neumann	neumann	PROPN
ejpam-3408	398	63	regular	regular	PROPN
ejpam-3408	398	64	.	.	PUNCT
ejpam-3408	399	1	finally	finally	ADV
ejpam-3408	399	2	,	,	PUNCT
ejpam-3408	399	3	they	they	PRON
ejpam-3408	399	4	obtained	obtain	VERB
ejpam-3408	399	5	a	a	DET
ejpam-3408	399	6	gabriel	gabriel	PROPN
ejpam-3408	399	7	-	-	PUNCT
ejpam-3408	399	8	like	like	ADJ
ejpam-3408	399	9	theorem	theorem	NOUN
ejpam-3408	399	10	for	for	ADP
ejpam-3408	399	11	alternative	alternative	ADJ
ejpam-3408	399	12	rings	ring	NOUN
ejpam-3408	399	13	.	.	PUNCT
ejpam-3408	400	1	ferreira	ferreira	PROPN
ejpam-3408	400	2	and	and	CCONJ
ejpam-3408	400	3	nascimento	nascimento	PROPN
ejpam-3408	401	1	[	[	X
ejpam-3408	401	2	50	50	NUM
ejpam-3408	401	3	]	]	PUNCT
ejpam-3408	401	4	in	in	ADP
ejpam-3408	401	5	2014	2014	NUM
ejpam-3408	401	6	proved	prove	VERB
ejpam-3408	401	7	the	the	DET
ejpam-3408	401	8	relationship	relationship	NOUN
ejpam-3408	401	9	between	between	ADP
ejpam-3408	401	10	the	the	DET
ejpam-3408	401	11	multiplicative	multiplicative	ADJ
ejpam-3408	401	12	and	and	CCONJ
ejpam-3408	401	13	the	the	DET
ejpam-3408	401	14	additive	additive	ADJ
ejpam-3408	401	15	structures	structure	NOUN
ejpam-3408	401	16	of	of	ADP
ejpam-3408	401	17	a	a	DET
ejpam-3408	401	18	ring	ring	NOUN
ejpam-3408	401	19	that	that	PRON
ejpam-3408	401	20	became	become	VERB
ejpam-3408	401	21	an	an	DET
ejpam-3408	401	22	interesting	interesting	ADJ
ejpam-3408	401	23	and	and	CCONJ
ejpam-3408	401	24	active	active	ADJ
ejpam-3408	401	25	topic	topic	NOUN
ejpam-3408	401	26	in	in	ADP
ejpam-3408	401	27	ring	ring	NOUN
ejpam-3408	401	28	theory	theory	NOUN
ejpam-3408	401	29	.	.	PUNCT
ejpam-3408	402	1	they	they	PRON
ejpam-3408	402	2	focused	focus	VERB
ejpam-3408	402	3	their	their	PRON
ejpam-3408	402	4	discussion	discussion	NOUN
ejpam-3408	402	5	on	on	ADP
ejpam-3408	402	6	the	the	DET
ejpam-3408	402	7	special	special	ADJ
ejpam-3408	402	8	case	case	NOUN
ejpam-3408	402	9	of	of	ADP
ejpam-3408	402	10	an	an	DET
ejpam-3408	402	11	alternative	alternative	ADJ
ejpam-3408	402	12	ring	ring	NOUN
ejpam-3408	402	13	.	.	PUNCT
ejpam-3408	403	1	in	in	ADP
ejpam-3408	403	2	this	this	PRON
ejpam-3408	403	3	they	they	PRON
ejpam-3408	403	4	investigated	investigate	VERB
ejpam-3408	403	5	the	the	DET
ejpam-3408	403	6	problem	problem	NOUN
ejpam-3408	403	7	of	of	ADP
ejpam-3408	403	8	when	when	SCONJ
ejpam-3408	403	9	a	a	DET
ejpam-3408	403	10	derivable	derivable	ADJ
ejpam-3408	403	11	map	map	NOUN
ejpam-3408	403	12	must	must	AUX
ejpam-3408	403	13	be	be	AUX
ejpam-3408	403	14	an	an	DET
ejpam-3408	403	15	additive	additive	ADJ
ejpam-3408	403	16	map	map	NOUN
ejpam-3408	403	17	for	for	ADP
ejpam-3408	403	18	the	the	DET
ejpam-3408	403	19	class	class	NOUN
ejpam-3408	403	20	of	of	ADP
ejpam-3408	403	21	alternative	alternative	ADJ
ejpam-3408	403	22	rings	ring	NOUN
ejpam-3408	403	23	.	.	PUNCT
ejpam-3408	404	1	recently	recently	ADV
ejpam-3408	404	2	,	,	PUNCT
ejpam-3408	404	3	in	in	ADP
ejpam-3408	404	4	2015	2015	NUM
ejpam-3408	404	5	,	,	PUNCT
ejpam-3408	404	6	satyanarayana	satyanarayana	PROPN
ejpam-3408	404	7	et	et	PROPN
ejpam-3408	404	8	al	al	PROPN
ejpam-3408	404	9	.	.	PROPN
ejpam-3408	404	10	,	,	PUNCT
ejpam-3408	404	11	[	[	X
ejpam-3408	404	12	264	264	NUM
ejpam-3408	404	13	]	]	PUNCT
ejpam-3408	404	14	proved	prove	VERB
ejpam-3408	404	15	that	that	SCONJ
ejpam-3408	404	16	the	the	DET
ejpam-3408	404	17	peculiar	peculiar	ADJ
ejpam-3408	404	18	property	property	NOUN
ejpam-3408	404	19	of	of	ADP
ejpam-3408	404	20	nucleus	nucleus	PROPN
ejpam-3408	404	21	n	n	PROPN
ejpam-3408	404	22	in	in	ADP
ejpam-3408	404	23	an	an	DET
ejpam-3408	404	24	alternative	alternative	ADJ
ejpam-3408	404	25	ring	ring	NOUN
ejpam-3408	404	26	r	r	NOUN
ejpam-3408	404	27	i.e.	i.e.	X
ejpam-3408	404	28	nucleus	nucleus	ADJ
ejpam-3408	404	29	contracts	contract	NOUN
ejpam-3408	404	30	to	to	ADP
ejpam-3408	404	31	centre	centre	PROPN
ejpam-3408	404	32	c	c	PROPN
ejpam-3408	404	33	when	when	SCONJ
ejpam-3408	404	34	alternative	alternative	ADJ
ejpam-3408	404	35	ring	ring	NOUN
ejpam-3408	404	36	is	be	AUX
ejpam-3408	404	37	octonion	octonion	NOUN
ejpam-3408	404	38	and	and	CCONJ
ejpam-3408	404	39	nucleus	nucleus	NOUN
ejpam-3408	404	40	expands	expand	VERB
ejpam-3408	404	41	to	to	ADP
ejpam-3408	404	42	whole	whole	ADJ
ejpam-3408	404	43	algebra	algebra	NOUN
ejpam-3408	404	44	when	when	SCONJ
ejpam-3408	404	45	the	the	DET
ejpam-3408	404	46	alternative	alternative	ADJ
ejpam-3408	404	47	ring	ring	NOUN
ejpam-3408	404	48	is	be	AUX
ejpam-3408	404	49	associative	associative	ADJ
ejpam-3408	404	50	.	.	PUNCT
ejpam-3408	405	1	also	also	ADV
ejpam-3408	405	2	in	in	ADP
ejpam-3408	405	3	2015	2015	NUM
ejpam-3408	405	4	,	,	PUNCT
ejpam-3408	405	5	jayalakshmi	jayalakshmi	PROPN
ejpam-3408	405	6	and	and	CCONJ
ejpam-3408	405	7	latha	latha	NOUN
ejpam-3408	406	1	[	[	X
ejpam-3408	406	2	117	117	NUM
ejpam-3408	406	3	]	]	PUNCT
ejpam-3408	406	4	presented	present	VERB
ejpam-3408	406	5	some	some	DET
ejpam-3408	406	6	properties	property	NOUN
ejpam-3408	406	7	of	of	ADP
ejpam-3408	406	8	the	the	DET
ejpam-3408	406	9	right	right	ADJ
ejpam-3408	406	10	nucleus	nucleus	NOUN
ejpam-3408	406	11	in	in	ADP
ejpam-3408	406	12	generalized	generalized	ADJ
ejpam-3408	406	13	right	right	ADJ
ejpam-3408	406	14	alternative	alternative	ADJ
ejpam-3408	406	15	rings	ring	NOUN
ejpam-3408	406	16	.	.	PUNCT
ejpam-3408	407	1	also	also	ADV
ejpam-3408	407	2	they	they	PRON
ejpam-3408	407	3	showed	show	VERB
ejpam-3408	407	4	that	that	SCONJ
ejpam-3408	407	5	in	in	ADP
ejpam-3408	407	6	a	a	DET
ejpam-3408	407	7	generalized	generalized	ADJ
ejpam-3408	407	8	right	right	ADJ
ejpam-3408	407	9	alternative	alternative	ADJ
ejpam-3408	407	10	ring	ring	NOUN
ejpam-3408	407	11	r	r	NOUN
ejpam-3408	407	12	which	which	PRON
ejpam-3408	407	13	is	be	AUX
ejpam-3408	407	14	finitely	finitely	ADV
ejpam-3408	407	15	generated	generate	VERB
ejpam-3408	407	16	or	or	CCONJ
ejpam-3408	407	17	free	free	ADJ
ejpam-3408	407	18	of	of	ADP
ejpam-3408	407	19	locally	locally	ADV
ejpam-3408	407	20	nilpotent	nilpotent	ADJ
ejpam-3408	407	21	ideals	ideal	NOUN
ejpam-3408	407	22	,	,	PUNCT
ejpam-3408	407	23	the	the	DET
ejpam-3408	407	24	right	right	ADJ
ejpam-3408	407	25	nucleus	nucleus	PROPN
ejpam-3408	407	26	nr	nr	PROPN
ejpam-3408	407	27	equals	equal	VERB
ejpam-3408	407	28	the	the	DET
ejpam-3408	407	29	center	center	NOUN
ejpam-3408	407	30	c.	c.	NOUN
ejpam-3408	407	31	they	they	PRON
ejpam-3408	407	32	also	also	ADV
ejpam-3408	407	33	considered	consider	VERB
ejpam-3408	407	34	the	the	DET
ejpam-3408	407	35	ring	ring	NOUN
ejpam-3408	407	36	to	to	PART
ejpam-3408	407	37	be	be	AUX
ejpam-3408	407	38	generalized	generalize	VERB
ejpam-3408	407	39	right	right	ADJ
ejpam-3408	407	40	alternative	alternative	ADJ
ejpam-3408	407	41	ring	ring	NOUN
ejpam-3408	407	42	and	and	CCONJ
ejpam-3408	407	43	tried	try	VERB
ejpam-3408	407	44	to	to	PART
ejpam-3408	407	45	prove	prove	VERB
ejpam-3408	407	46	the	the	DET
ejpam-3408	407	47	results	result	NOUN
ejpam-3408	407	48	of	of	ADP
ejpam-3408	407	49	ng	ng	PROPN
ejpam-3408	407	50	seong	seong	PROPN
ejpam-3408	407	51	-	-	PUNCT
ejpam-3408	407	52	nam	nam	PROPN
ejpam-3408	408	1	[	[	X
ejpam-3408	408	2	212	212	NUM
ejpam-3408	408	3	]	]	PUNCT
ejpam-3408	408	4	.	.	PUNCT
ejpam-3408	409	1	on	on	ADP
ejpam-3408	409	2	the	the	DET
ejpam-3408	409	3	way	way	NOUN
ejpam-3408	409	4	they	they	PRON
ejpam-3408	409	5	gave	give	VERB
ejpam-3408	409	6	an	an	DET
ejpam-3408	409	7	example	example	NOUN
ejpam-3408	409	8	to	to	PART
ejpam-3408	409	9	show	show	VERB
ejpam-3408	409	10	that	that	SCONJ
ejpam-3408	409	11	the	the	DET
ejpam-3408	409	12	generalized	generalized	ADJ
ejpam-3408	409	13	right	right	ADJ
ejpam-3408	409	14	alternative	alternative	ADJ
ejpam-3408	409	15	ring	ring	NOUN
ejpam-3408	409	16	is	be	AUX
ejpam-3408	409	17	not	not	PART
ejpam-3408	409	18	right	right	ADJ
ejpam-3408	409	19	alternative	alternative	NOUN
ejpam-3408	409	20	.	.	PUNCT
ejpam-3408	410	1	2.4	2.4	NUM
ejpam-3408	410	2	.	.	PUNCT
ejpam-3408	411	1	jordan	jordan	PROPN
ejpam-3408	411	2	rings(1933	rings(1933	PROPN
ejpam-3408	411	3	-	-	PUNCT
ejpam-3408	411	4	2011	2011	NUM
ejpam-3408	411	5	)	)	PUNCT
ejpam-3408	411	6	in	in	ADP
ejpam-3408	411	7	modern	modern	ADJ
ejpam-3408	411	8	mathematics	mathematic	NOUN
ejpam-3408	411	9	,	,	PUNCT
ejpam-3408	411	10	an	an	DET
ejpam-3408	411	11	important	important	ADJ
ejpam-3408	411	12	notion	notion	NOUN
ejpam-3408	411	13	is	be	AUX
ejpam-3408	411	14	that	that	PRON
ejpam-3408	411	15	of	of	ADP
ejpam-3408	411	16	non	non	ADJ
ejpam-3408	411	17	-	-	ADJ
ejpam-3408	411	18	associative	associative	ADJ
ejpam-3408	411	19	structure	structure	NOUN
ejpam-3408	411	20	.	.	PUNCT
ejpam-3408	412	1	this	this	DET
ejpam-3408	412	2	kind	kind	NOUN
ejpam-3408	412	3	of	of	ADP
ejpam-3408	412	4	structures	structure	NOUN
ejpam-3408	412	5	is	be	AUX
ejpam-3408	412	6	characterized	characterize	VERB
ejpam-3408	412	7	by	by	ADP
ejpam-3408	412	8	the	the	DET
ejpam-3408	412	9	fact	fact	NOUN
ejpam-3408	412	10	the	the	DET
ejpam-3408	412	11	product	product	NOUN
ejpam-3408	412	12	of	of	ADP
ejpam-3408	412	13	elements	element	NOUN
ejpam-3408	412	14	verifies	verifie	NOUN
ejpam-3408	412	15	a	a	DET
ejpam-3408	412	16	more	more	ADV
ejpam-3408	412	17	general	general	ADJ
ejpam-3408	412	18	law	law	NOUN
ejpam-3408	412	19	than	than	ADP
ejpam-3408	412	20	the	the	DET
ejpam-3408	412	21	associativity	associativity	NOUN
ejpam-3408	412	22	law	law	NOUN
ejpam-3408	412	23	.	.	PUNCT
ejpam-3408	413	1	jordan	jordan	PROPN
ejpam-3408	413	2	structures	structure	NOUN
ejpam-3408	413	3	were	be	AUX
ejpam-3408	413	4	introduced	introduce	VERB
ejpam-3408	413	5	in	in	ADP
ejpam-3408	413	6	1932	1932	NUM
ejpam-3408	413	7	-	-	SYM
ejpam-3408	413	8	1933	1933	NUM
ejpam-3408	413	9	by	by	ADP
ejpam-3408	413	10	the	the	DET
ejpam-3408	413	11	german	german	ADJ
ejpam-3408	413	12	physicist	physicist	NOUN
ejpam-3408	413	13	pasqual	pasqual	PROPN
ejpam-3408	413	14	jordan	jordan	PROPN
ejpam-3408	413	15	(	(	PUNCT
ejpam-3408	413	16	1902	1902	NUM
ejpam-3408	413	17	-	-	SYM
ejpam-3408	413	18	1980	1980	NUM
ejpam-3408	413	19	)	)	PUNCT
ejpam-3408	413	20	in	in	ADP
ejpam-3408	413	21	his	his	PRON
ejpam-3408	413	22	algebraic	algebraic	ADJ
ejpam-3408	413	23	formulation	formulation	NOUN
ejpam-3408	413	24	of	of	ADP
ejpam-3408	413	25	quantum	quantum	ADJ
ejpam-3408	413	26	mechanics	mechanic	NOUN
ejpam-3408	413	27	.	.	PUNCT
ejpam-3408	414	1	the	the	DET
ejpam-3408	414	2	study	study	NOUN
ejpam-3408	414	3	of	of	ADP
ejpam-3408	414	4	jordan	jordan	PROPN
ejpam-3408	414	5	structures	structure	NOUN
ejpam-3408	414	6	and	and	CCONJ
ejpam-3408	414	7	their	their	PRON
ejpam-3408	414	8	applications	application	NOUN
ejpam-3408	414	9	is	be	AUX
ejpam-3408	414	10	at	at	ADP
ejpam-3408	414	11	present	present	ADJ
ejpam-3408	414	12	a	a	DET
ejpam-3408	414	13	wide	wide	ADV
ejpam-3408	414	14	-	-	PUNCT
ejpam-3408	414	15	ranging	range	VERB
ejpam-3408	414	16	field	field	NOUN
ejpam-3408	414	17	of	of	ADP
ejpam-3408	414	18	mathematical	mathematical	ADJ
ejpam-3408	414	19	research	research	NOUN
ejpam-3408	414	20	.	.	PUNCT
ejpam-3408	415	1	the	the	DET
ejpam-3408	415	2	systematic	systematic	ADJ
ejpam-3408	415	3	study	study	NOUN
ejpam-3408	415	4	and	and	CCONJ
ejpam-3408	415	5	more	more	ADJ
ejpam-3408	415	6	developments	development	NOUN
ejpam-3408	415	7	of	of	ADP
ejpam-3408	415	8	general	general	ADJ
ejpam-3408	415	9	jordan	jordan	PROPN
ejpam-3408	415	10	algebras	algebras	PROPN
ejpam-3408	415	11	were	be	AUX
ejpam-3408	415	12	started	start	VERB
ejpam-3408	415	13	by	by	ADP
ejpam-3408	415	14	albert	albert	PROPN
ejpam-3408	415	15	in	in	ADP
ejpam-3408	415	16	1946	1946	NUM
ejpam-3408	415	17	.	.	PUNCT
ejpam-3408	416	1	one	one	PRON
ejpam-3408	416	2	can	can	AUX
ejpam-3408	416	3	define	define	VERB
ejpam-3408	416	4	a	a	DET
ejpam-3408	416	5	jordan	jordan	PROPN
ejpam-3408	416	6	ring	ring	NOUN
ejpam-3408	416	7	as	as	ADP
ejpam-3408	416	8	a	a	DET
ejpam-3408	416	9	commutative	commutative	ADJ
ejpam-3408	416	10	non	non	ADJ
ejpam-3408	416	11	-	-	ADJ
ejpam-3408	416	12	associative	associative	ADJ
ejpam-3408	416	13	ring	ring	NOUN
ejpam-3408	416	14	that	that	PRON
ejpam-3408	416	15	respects	respect	VERB
ejpam-3408	416	16	the	the	DET
ejpam-3408	416	17	jordan	jordan	PROPN
ejpam-3408	416	18	identity	identity	NOUN
ejpam-3408	416	19	i.e.	i.e.	X
ejpam-3408	416	20	(	(	PUNCT
ejpam-3408	416	21	xy)(xx	xy)(xx	NUM
ejpam-3408	416	22	)	)	PUNCT
ejpam-3408	416	23	=	=	SYM
ejpam-3408	416	24	x(y(xx	x(y(xx	PROPN
ejpam-3408	416	25	)	)	PUNCT
ejpam-3408	416	26	)	)	PUNCT
ejpam-3408	416	27	.	.	PUNCT
ejpam-3408	417	1	in	in	ADP
ejpam-3408	417	2	1948	1948	NUM
ejpam-3408	417	3	,	,	PUNCT
ejpam-3408	417	4	jacobson	jacobson	PROPN
ejpam-3408	418	1	[	[	X
ejpam-3408	418	2	111	111	NUM
ejpam-3408	418	3	]	]	PUNCT
ejpam-3408	418	4	observed	observe	VERB
ejpam-3408	418	5	that	that	SCONJ
ejpam-3408	418	6	semi	semi	NOUN
ejpam-3408	418	7	-	-	NOUN
ejpam-3408	418	8	isomorphisms	isomorphism	NOUN
ejpam-3408	418	9	were	be	AUX
ejpam-3408	418	10	nothing	nothing	PRON
ejpam-3408	418	11	more	more	ADV
ejpam-3408	418	12	or	or	CCONJ
ejpam-3408	418	13	less	less	ADJ
ejpam-3408	418	14	than	than	ADP
ejpam-3408	418	15	ordinary	ordinary	ADJ
ejpam-3408	418	16	isomorphisms	isomorphism	NOUN
ejpam-3408	418	17	of	of	ADP
ejpam-3408	418	18	the	the	DET
ejpam-3408	418	19	non	non	ADJ
ejpam-3408	418	20	-	-	ADJ
ejpam-3408	418	21	associative	associative	ADJ
ejpam-3408	418	22	jordan	jordan	PROPN
ejpam-3408	418	23	ring	ring	NOUN
ejpam-3408	418	24	determined	determine	VERB
ejpam-3408	418	25	by	by	ADP
ejpam-3408	418	26	the	the	DET
ejpam-3408	418	27	given	give	VERB
ejpam-3408	418	28	associative	associative	ADJ
ejpam-3408	418	29	ring	ring	NOUN
ejpam-3408	418	30	.	.	PUNCT
ejpam-3408	419	1	in	in	ADP
ejpam-3408	419	2	his	his	PRON
ejpam-3408	419	3	paper	paper	NOUN
ejpam-3408	419	4	he	he	PRON
ejpam-3408	419	5	introduced	introduce	VERB
ejpam-3408	419	6	the	the	DET
ejpam-3408	419	7	jordan	jordan	PROPN
ejpam-3408	419	8	multiplication	multiplication	PROPN
ejpam-3408	419	9	a.b	a.b	PROPN
ejpam-3408	419	10	=	=	SYM
ejpam-3408	419	11	1/2(ab	1/2(ab	PROPN
ejpam-3408	419	12	+	+	CCONJ
ejpam-3408	419	13	ba	ba	PROPN
ejpam-3408	419	14	)	)	PUNCT
ejpam-3408	419	15	,	,	PUNCT
ejpam-3408	419	16	he	he	PRON
ejpam-3408	419	17	observed	observe	VERB
ejpam-3408	419	18	that	that	SCONJ
ejpam-3408	419	19	if	if	SCONJ
ejpam-3408	419	20	ordinary	ordinary	ADJ
ejpam-3408	419	21	multiplication	multiplication	NOUN
ejpam-3408	419	22	is	be	AUX
ejpam-3408	419	23	replaced	replace	VERB
ejpam-3408	419	24	by	by	ADP
ejpam-3408	419	25	this	this	DET
ejpam-3408	419	26	identity	identity	NOUN
ejpam-3408	419	27	then	then	ADV
ejpam-3408	419	28	one	one	PRON
ejpam-3408	419	29	can	can	AUX
ejpam-3408	419	30	obtained	obtain	VERB
ejpam-3408	419	31	jordan	jordan	PROPN
ejpam-3408	419	32	ring	ring	PROPN
ejpam-3408	419	33	determined	determine	VERB
ejpam-3408	419	34	by	by	ADP
ejpam-3408	419	35	the	the	DET
ejpam-3408	419	36	associative	associative	ADJ
ejpam-3408	419	37	ring	ring	NOUN
ejpam-3408	419	38	.	.	PUNCT
ejpam-3408	420	1	he	he	PRON
ejpam-3408	420	2	also	also	ADV
ejpam-3408	420	3	determined	determine	VERB
ejpam-3408	420	4	the	the	DET
ejpam-3408	420	5	isomorphisms	isomorphism	NOUN
ejpam-3408	420	6	between	between	ADP
ejpam-3408	420	7	any	any	DET
ejpam-3408	420	8	two	two	NUM
ejpam-3408	420	9	simple	simple	ADJ
ejpam-3408	420	10	jordan	jordan	PROPN
ejpam-3408	420	11	rings	rings	PROPN
ejpam-3408	420	12	.	.	PUNCT
ejpam-3408	421	1	jacobson	jacobson	PROPN
ejpam-3408	421	2	[	[	X
ejpam-3408	421	3	112	112	NUM
ejpam-3408	421	4	]	]	PUNCT
ejpam-3408	421	5	in	in	ADP
ejpam-3408	421	6	1948	1948	NUM
ejpam-3408	421	7	in	in	ADP
ejpam-3408	421	8	his	his	PRON
ejpam-3408	421	9	paper	paper	NOUN
ejpam-3408	421	10	discussed	discuss	VERB
ejpam-3408	421	11	about	about	ADP
ejpam-3408	421	12	the	the	DET
ejpam-3408	421	13	centre	centre	NOUN
ejpam-3408	421	14	of	of	ADP
ejpam-3408	421	15	nonassociative	nonassociative	ADJ
ejpam-3408	421	16	ring	ring	NOUN
ejpam-3408	421	17	i.e.	i.e.	ADV
ejpam-3408	421	18	;	;	PUNCT
ejpam-3408	421	19	if	if	SCONJ
ejpam-3408	421	20	<	<	X
ejpam-3408	421	21	is	be	AUX
ejpam-3408	421	22	any	any	DET
ejpam-3408	421	23	non	non	ADJ
ejpam-3408	421	24	-	-	ADJ
ejpam-3408	421	25	associative	associative	ADJ
ejpam-3408	421	26	ring	ring	NOUN
ejpam-3408	421	27	one	one	PRON
ejpam-3408	421	28	can	can	AUX
ejpam-3408	421	29	defined	define	VERB
ejpam-3408	421	30	the	the	DET
ejpam-3408	421	31	center	center	NOUN
ejpam-3408	421	32	of	of	ADP
ejpam-3408	421	33	<	<	X
ejpam-3408	421	34	to	to	PART
ejpam-3408	421	35	be	be	AUX
ejpam-3408	421	36	the	the	DET
ejpam-3408	421	37	totality	totality	NOUN
ejpam-3408	421	38	of	of	ADP
ejpam-3408	421	39	elements	element	NOUN
ejpam-3408	421	40	c	c	PROPN
ejpam-3408	421	41	that	that	DET
ejpam-3408	421	42	commute	commute	NOUN
ejpam-3408	421	43	,	,	PUNCT
ejpam-3408	421	44	c.a	c.a	PROPN
ejpam-3408	421	45	=	=	PROPN
ejpam-3408	421	46	a.c	a.c	PROPN
ejpam-3408	421	47	.	.	PUNCT
ejpam-3408	422	1	it	it	PRON
ejpam-3408	422	2	was	be	AUX
ejpam-3408	422	3	also	also	ADV
ejpam-3408	422	4	observed	observe	VERB
ejpam-3408	422	5	that	that	SCONJ
ejpam-3408	422	6	if	if	SCONJ
ejpam-3408	422	7	a	a	DET
ejpam-3408	422	8	ring	ring	NOUN
ejpam-3408	422	9	contains	contain	VERB
ejpam-3408	422	10	a	a	DET
ejpam-3408	422	11	nilpotent	nilpotent	ADJ
ejpam-3408	422	12	element	element	NOUN
ejpam-3408	422	13	in	in	ADP
ejpam-3408	422	14	its	its	PRON
ejpam-3408	422	15	center	center	NOUN
ejpam-3408	422	16	then	then	ADV
ejpam-3408	422	17	it	it	PRON
ejpam-3408	422	18	contains	contain	VERB
ejpam-3408	422	19	a	a	DET
ejpam-3408	422	20	nilpotent	nilpotent	ADJ
ejpam-3408	422	21	two	two	NUM
ejpam-3408	422	22	-	-	PUNCT
ejpam-3408	422	23	sided	sided	ADJ
ejpam-3408	422	24	ideal	ideal	NOUN
ejpam-3408	422	25	.	.	PUNCT
ejpam-3408	423	1	in	in	ADP
ejpam-3408	423	2	1950	1950	NUM
ejpam-3408	423	3	,	,	PUNCT
ejpam-3408	423	4	jacobson	jacobson	PROPN
ejpam-3408	423	5	and	and	CCONJ
ejpam-3408	423	6	rickart	rickart	VERB
ejpam-3408	424	1	[	[	X
ejpam-3408	424	2	115	115	NUM
ejpam-3408	424	3	]	]	PUNCT
ejpam-3408	424	4	defined	define	VERB
ejpam-3408	424	5	a	a	DET
ejpam-3408	424	6	special	special	ADJ
ejpam-3408	424	7	jordan	jordan	PROPN
ejpam-3408	424	8	ring	ring	NOUN
ejpam-3408	424	9	to	to	PART
ejpam-3408	424	10	be	be	AUX
ejpam-3408	424	11	a	a	DET
ejpam-3408	424	12	subset	subset	NOUN
ejpam-3408	424	13	of	of	ADP
ejpam-3408	424	14	an	an	DET
ejpam-3408	424	15	associative	associative	ADJ
ejpam-3408	424	16	ring	ring	NOUN
ejpam-3408	424	17	which	which	PRON
ejpam-3408	424	18	is	be	AUX
ejpam-3408	424	19	a	a	DET
ejpam-3408	424	20	subgroup	subgroup	NOUN
ejpam-3408	424	21	of	of	ADP
ejpam-3408	424	22	the	the	DET
ejpam-3408	424	23	additive	additive	ADJ
ejpam-3408	424	24	group	group	NOUN
ejpam-3408	424	25	and	and	CCONJ
ejpam-3408	424	26	which	which	PRON
ejpam-3408	424	27	is	be	AUX
ejpam-3408	424	28	closed	close	VERB
ejpam-3408	424	29	under	under	ADP
ejpam-3408	424	30	the	the	DET
ejpam-3408	424	31	compositions	composition	NOUN
ejpam-3408	424	32	a→	a→	PUNCT
ejpam-3408	424	33	a2	a2	PROPN
ejpam-3408	424	34	and	and	CCONJ
ejpam-3408	424	35	(	(	PUNCT
ejpam-3408	424	36	a	a	PRON
ejpam-3408	424	37	,	,	PUNCT
ejpam-3408	424	38	b)→	b)→	VERB
ejpam-3408	424	39	aba	aba	PROPN
ejpam-3408	424	40	.	.	PUNCT
ejpam-3408	425	1	such	such	ADJ
ejpam-3408	425	2	systems	system	NOUN
ejpam-3408	425	3	are	be	AUX
ejpam-3408	425	4	also	also	ADV
ejpam-3408	425	5	closed	close	VERB
ejpam-3408	425	6	under	under	ADP
ejpam-3408	425	7	the	the	DET
ejpam-3408	425	8	compositions	composition	NOUN
ejpam-3408	425	9	(	(	PUNCT
ejpam-3408	425	10	a	a	DET
ejpam-3408	425	11	,	,	PUNCT
ejpam-3408	425	12	b	b	NOUN
ejpam-3408	425	13	)	)	PUNCT
ejpam-3408	425	14	→	→	SYM
ejpam-3408	425	15	ab	ab	PROPN
ejpam-3408	426	1	+	+	CCONJ
ejpam-3408	426	2	ba	ba	PROPN
ejpam-3408	426	3	=	=	PRON
ejpam-3408	426	4	{	{	PUNCT
ejpam-3408	426	5	a	a	DET
ejpam-3408	426	6	,	,	PUNCT
ejpam-3408	426	7	b	b	NOUN
ejpam-3408	426	8	}	}	PUNCT
ejpam-3408	426	9	and	and	CCONJ
ejpam-3408	426	10	(	(	PUNCT
ejpam-3408	426	11	a	a	PRON
ejpam-3408	426	12	,	,	PUNCT
ejpam-3408	426	13	b	b	NOUN
ejpam-3408	426	14	,	,	PUNCT
ejpam-3408	426	15	c	c	NOUN
ejpam-3408	426	16	)	)	PUNCT
ejpam-3408	426	17	→	→	SYM
ejpam-3408	426	18	abc	abc	PROPN
ejpam-3408	426	19	+	+	CCONJ
ejpam-3408	426	20	cba	cba	PROPN
ejpam-3408	426	21	.	.	PUNCT
ejpam-3408	427	1	the	the	DET
ejpam-3408	427	2	simplest	simple	ADJ
ejpam-3408	427	3	instances	instance	NOUN
ejpam-3408	427	4	of	of	ADP
ejpam-3408	427	5	special	special	ADJ
ejpam-3408	427	6	jordan	jordan	PROPN
ejpam-3408	427	7	rings	ring	NOUN
ejpam-3408	427	8	were	be	AUX
ejpam-3408	427	9	the	the	DET
ejpam-3408	427	10	associative	associative	ADJ
ejpam-3408	427	11	rings	ring	NOUN
ejpam-3408	427	12	themselves	themselves	PRON
ejpam-3408	427	13	.	.	PUNCT
ejpam-3408	428	1	the	the	DET
ejpam-3408	428	2	authors	author	NOUN
ejpam-3408	428	3	also	also	ADV
ejpam-3408	428	4	studied	study	VERB
ejpam-3408	428	5	the	the	DET
ejpam-3408	428	6	(	(	PUNCT
ejpam-3408	428	7	jordan	jordan	PROPN
ejpam-3408	428	8	)	)	PUNCT
ejpam-3408	428	9	homomorphism	homomorphism	NOUN
ejpam-3408	428	10	of	of	ADP
ejpam-3408	428	11	these	these	DET
ejpam-3408	428	12	rings	ring	NOUN
ejpam-3408	428	13	.	.	PUNCT
ejpam-3408	429	1	jacobson	jacobson	PROPN
ejpam-3408	429	2	and	and	CCONJ
ejpam-3408	429	3	rickart	rickart	VERB
ejpam-3408	430	1	[	[	X
ejpam-3408	430	2	116	116	X
ejpam-3408	430	3	]	]	PUNCT
ejpam-3408	430	4	in	in	ADP
ejpam-3408	430	5	1952	1952	NUM
ejpam-3408	430	6	considered	consider	VERB
ejpam-3408	430	7	the	the	DET
ejpam-3408	430	8	set	set	ADJ
ejpam-3408	430	9	h	h	NOUN
ejpam-3408	430	10	of	of	ADP
ejpam-3408	430	11	selfadjoint	selfadjoint	NOUN
ejpam-3408	430	12	elements	element	NOUN
ejpam-3408	430	13	h	h	NOUN
ejpam-3408	430	14	=	=	PUNCT
ejpam-3408	430	15	h∗.	h∗.	VERB
ejpam-3408	430	16	then	then	ADV
ejpam-3408	430	17	that	that	PRON
ejpam-3408	430	18	set	set	NOUN
ejpam-3408	430	19	h	h	NOUN
ejpam-3408	430	20	is	be	AUX
ejpam-3408	430	21	a	a	DET
ejpam-3408	430	22	special	special	ADJ
ejpam-3408	430	23	jordan	jordan	PROPN
ejpam-3408	430	24	ring	ring	NOUN
ejpam-3408	430	25	.	.	PUNCT
ejpam-3408	431	1	in	in	ADP
ejpam-3408	431	2	this	this	DET
ejpam-3408	431	3	paper	paper	NOUN
ejpam-3408	431	4	they	they	PRON
ejpam-3408	431	5	a.	a.	NOUN
ejpam-3408	431	6	razzaque	razzaque	NOUN
ejpam-3408	432	1	et	et	PROPN
ejpam-3408	432	2	al	al	PROPN
ejpam-3408	432	3	.	.	PUNCT
ejpam-3408	432	4	/	/	SYM
ejpam-3408	432	5	eur	eur	PROPN
ejpam-3408	432	6	.	.	PUNCT
ejpam-3408	433	1	j.	j.	PROPN
ejpam-3408	433	2	pure	pure	PROPN
ejpam-3408	433	3	appl	appl	PROPN
ejpam-3408	433	4	.	.	PROPN
ejpam-3408	433	5	math	math	PROPN
ejpam-3408	433	6	,	,	PUNCT
ejpam-3408	433	7	12	12	NUM
ejpam-3408	433	8	(	(	PUNCT
ejpam-3408	433	9	2	2	NUM
ejpam-3408	433	10	)	)	PUNCT
ejpam-3408	433	11	(	(	PUNCT
ejpam-3408	433	12	2019	2019	NUM
ejpam-3408	433	13	)	)	PUNCT
ejpam-3408	433	14	,	,	PUNCT
ejpam-3408	433	15	370	370	NUM
ejpam-3408	433	16	-	-	SYM
ejpam-3408	433	17	408	408	NUM
ejpam-3408	433	18	383	383	NUM
ejpam-3408	433	19	studied	study	VERB
ejpam-3408	433	20	the	the	DET
ejpam-3408	433	21	homomorphism	homomorphism	NOUN
ejpam-3408	433	22	of	of	ADP
ejpam-3408	433	23	the	the	DET
ejpam-3408	433	24	rings	ring	NOUN
ejpam-3408	433	25	of	of	ADP
ejpam-3408	433	26	this	this	DET
ejpam-3408	433	27	type	type	NOUN
ejpam-3408	433	28	.	.	PUNCT
ejpam-3408	434	1	they	they	PRON
ejpam-3408	434	2	also	also	ADV
ejpam-3408	434	3	obtained	obtain	VERB
ejpam-3408	434	4	an	an	DET
ejpam-3408	434	5	analogue	analogue	NOUN
ejpam-3408	434	6	of	of	ADP
ejpam-3408	434	7	the	the	DET
ejpam-3408	434	8	matrix	matrix	NOUN
ejpam-3408	434	9	method	method	NOUN
ejpam-3408	434	10	for	for	ADP
ejpam-3408	434	11	the	the	DET
ejpam-3408	434	12	rings	ring	NOUN
ejpam-3408	434	13	h.	h.	PROPN
ejpam-3408	434	14	authors	author	NOUN
ejpam-3408	434	15	proved	prove	VERB
ejpam-3408	434	16	that	that	SCONJ
ejpam-3408	434	17	any	any	DET
ejpam-3408	434	18	jordan	jordan	PROPN
ejpam-3408	434	19	homomorphism	homomorphism	PROPN
ejpam-3408	434	20	of	of	ADP
ejpam-3408	434	21	h	h	NOUN
ejpam-3408	434	22	can	can	AUX
ejpam-3408	434	23	be	be	AUX
ejpam-3408	434	24	extended	extend	VERB
ejpam-3408	434	25	to	to	ADP
ejpam-3408	434	26	an	an	DET
ejpam-3408	434	27	associative	associative	ADJ
ejpam-3408	434	28	homomorphism	homomorphism	NOUN
ejpam-3408	434	29	of	of	ADP
ejpam-3408	434	30	u	u	PROPN
ejpam-3408	434	31	.	.	PUNCT
ejpam-3408	435	1	they	they	PRON
ejpam-3408	435	2	also	also	ADV
ejpam-3408	435	3	examined	examine	VERB
ejpam-3408	435	4	that	that	SCONJ
ejpam-3408	435	5	this	this	DET
ejpam-3408	435	6	result	result	NOUN
ejpam-3408	435	7	can	can	AUX
ejpam-3408	435	8	be	be	AUX
ejpam-3408	435	9	extended	extend	VERB
ejpam-3408	435	10	to	to	ADP
ejpam-3408	435	11	locally	locally	ADV
ejpam-3408	435	12	matrix	matrix	NOUN
ejpam-3408	435	13	rings	ring	NOUN
ejpam-3408	435	14	and	and	CCONJ
ejpam-3408	435	15	in	in	ADP
ejpam-3408	435	16	this	this	DET
ejpam-3408	435	17	form	form	NOUN
ejpam-3408	435	18	it	it	PRON
ejpam-3408	435	19	is	be	AUX
ejpam-3408	435	20	applicable	applicable	ADJ
ejpam-3408	435	21	to	to	ADP
ejpam-3408	435	22	involutorial	involutorial	ADJ
ejpam-3408	435	23	simple	simple	ADJ
ejpam-3408	435	24	rings	ring	NOUN
ejpam-3408	435	25	with	with	ADP
ejpam-3408	435	26	minimal	minimal	ADJ
ejpam-3408	435	27	one	one	NUM
ejpam-3408	435	28	-	-	PUNCT
ejpam-3408	435	29	sided	sided	ADJ
ejpam-3408	435	30	ideals	ideal	NOUN
ejpam-3408	435	31	.	.	PUNCT
ejpam-3408	436	1	on	on	ADP
ejpam-3408	436	2	the	the	DET
ejpam-3408	436	3	way	way	NOUN
ejpam-3408	436	4	they	they	PRON
ejpam-3408	436	5	obtained	obtain	VERB
ejpam-3408	436	6	the	the	DET
ejpam-3408	436	7	jordan	jordan	PROPN
ejpam-3408	436	8	isomorphisms	isomorphisms	PROPN
ejpam-3408	436	9	of	of	ADP
ejpam-3408	436	10	the	the	DET
ejpam-3408	436	11	jordan	jordan	PROPN
ejpam-3408	436	12	ring	ring	PROPN
ejpam-3408	436	13	of	of	ADP
ejpam-3408	436	14	self	self	NOUN
ejpam-3408	436	15	-	-	PUNCT
ejpam-3408	436	16	adjoint	adjoint	NOUN
ejpam-3408	436	17	elements	element	NOUN
ejpam-3408	436	18	of	of	ADP
ejpam-3408	436	19	an	an	DET
ejpam-3408	436	20	involutorial	involutorial	ADJ
ejpam-3408	436	21	primitive	primitive	ADJ
ejpam-3408	436	22	ring	ring	NOUN
ejpam-3408	436	23	with	with	ADP
ejpam-3408	436	24	minimal	minimal	ADJ
ejpam-3408	436	25	one	one	NUM
ejpam-3408	436	26	-	-	PUNCT
ejpam-3408	436	27	sided	sided	ADJ
ejpam-3408	436	28	ideals	ideal	NOUN
ejpam-3408	436	29	onto	onto	ADP
ejpam-3408	436	30	a	a	DET
ejpam-3408	436	31	second	second	ADJ
ejpam-3408	436	32	jordan	jordan	PROPN
ejpam-3408	436	33	ring	ring	NOUN
ejpam-3408	436	34	of	of	ADP
ejpam-3408	436	35	the	the	DET
ejpam-3408	436	36	same	same	ADJ
ejpam-3408	436	37	type	type	NOUN
ejpam-3408	436	38	.	.	PUNCT
ejpam-3408	437	1	however	however	ADV
ejpam-3408	437	2	,	,	PUNCT
ejpam-3408	437	3	comparatively	comparatively	ADV
ejpam-3408	437	4	schafer	schafer	NOUN
ejpam-3408	438	1	[	[	X
ejpam-3408	438	2	208	208	NUM
ejpam-3408	438	3	]	]	PUNCT
ejpam-3408	438	4	in	in	ADP
ejpam-3408	438	5	1955	1955	NUM
ejpam-3408	438	6	began	begin	VERB
ejpam-3408	438	7	the	the	DET
ejpam-3408	438	8	study	study	NOUN
ejpam-3408	438	9	of	of	ADP
ejpam-3408	438	10	the	the	DET
ejpam-3408	438	11	class	class	NOUN
ejpam-3408	438	12	of	of	ADP
ejpam-3408	438	13	so	so	ADV
ejpam-3408	438	14	-	-	PUNCT
ejpam-3408	438	15	called	call	VERB
ejpam-3408	438	16	non	non	ADJ
ejpam-3408	438	17	-	-	ADJ
ejpam-3408	438	18	commutative	commutative	ADJ
ejpam-3408	438	19	j	j	PROPN
ejpam-3408	438	20	-	-	PUNCT
ejpam-3408	438	21	rings	ring	NOUN
ejpam-3408	438	22	(	(	PUNCT
ejpam-3408	438	23	jordan	jordan	PROPN
ejpam-3408	438	24	rings	rings	PROPN
ejpam-3408	438	25	)	)	PUNCT
ejpam-3408	438	26	.	.	PUNCT
ejpam-3408	439	1	the	the	DET
ejpam-3408	439	2	study	study	NOUN
ejpam-3408	439	3	of	of	ADP
ejpam-3408	439	4	this	this	DET
ejpam-3408	439	5	class	class	NOUN
ejpam-3408	439	6	of	of	ADP
ejpam-3408	439	7	rings	ring	NOUN
ejpam-3408	439	8	is	be	AUX
ejpam-3408	439	9	contained	contain	VERB
ejpam-3408	439	10	in	in	ADP
ejpam-3408	439	11	the	the	DET
ejpam-3408	439	12	theory	theory	NOUN
ejpam-3408	439	13	of	of	ADP
ejpam-3408	439	14	algebras	algebra	NOUN
ejpam-3408	439	15	of	of	ADP
ejpam-3408	439	16	finite	finite	ADJ
ejpam-3408	439	17	dimension	dimension	NOUN
ejpam-3408	439	18	.	.	PUNCT
ejpam-3408	440	1	for	for	SCONJ
ejpam-3408	440	2	more	more	ADJ
ejpam-3408	440	3	details	detail	NOUN
ejpam-3408	440	4	readers	reader	NOUN
ejpam-3408	440	5	were	be	AUX
ejpam-3408	440	6	referred	refer	VERB
ejpam-3408	440	7	to	to	PART
ejpam-3408	440	8	study	study	VERB
ejpam-3408	440	9	[	[	X
ejpam-3408	440	10	144	144	NUM
ejpam-3408	440	11	,	,	PUNCT
ejpam-3408	440	12	209	209	NUM
ejpam-3408	440	13	,	,	PUNCT
ejpam-3408	440	14	210	210	NUM
ejpam-3408	440	15	]	]	PUNCT
ejpam-3408	440	16	.	.	PUNCT
ejpam-3408	441	1	in	in	ADP
ejpam-3408	441	2	1956	1956	NUM
ejpam-3408	441	3	,	,	PUNCT
ejpam-3408	441	4	hall	hall	NOUN
ejpam-3408	441	5	and	and	CCONJ
ejpam-3408	441	6	jr	jr	PROPN
ejpam-3408	442	1	[	[	X
ejpam-3408	442	2	76	76	NUM
ejpam-3408	442	3	]	]	PUNCT
ejpam-3408	442	4	established	establish	VERB
ejpam-3408	442	5	the	the	DET
ejpam-3408	442	6	identity	identity	NOUN
ejpam-3408	442	7	{	{	PUNCT
ejpam-3408	442	8	aba}2	aba}2	NOUN
ejpam-3408	442	9	=	=	PUNCT
ejpam-3408	442	10	{	{	PUNCT
ejpam-3408	442	11	a{ba2	a{ba2	PROPN
ejpam-3408	442	12	b}a	b}a	NOUN
ejpam-3408	442	13	}	}	PUNCT
ejpam-3408	442	14	which	which	PRON
ejpam-3408	442	15	hold	hold	VERB
ejpam-3408	442	16	in	in	ADP
ejpam-3408	442	17	abstract	abstract	ADJ
ejpam-3408	442	18	jordan	jordan	PROPN
ejpam-3408	442	19	rings	rings	PROPN
ejpam-3408	442	20	.	.	PUNCT
ejpam-3408	443	1	this	this	PRON
ejpam-3408	443	2	was	be	AUX
ejpam-3408	443	3	immediate	immediate	ADJ
ejpam-3408	443	4	for	for	ADP
ejpam-3408	443	5	special	special	ADJ
ejpam-3408	443	6	jordan	jordan	PROPN
ejpam-3408	443	7	rings	rings	PROPN
ejpam-3408	443	8	.	.	PUNCT
ejpam-3408	444	1	they	they	PRON
ejpam-3408	444	2	examined	examine	VERB
ejpam-3408	444	3	that	that	SCONJ
ejpam-3408	444	4	the	the	DET
ejpam-3408	444	5	identity	identity	NOUN
ejpam-3408	444	6	is	be	AUX
ejpam-3408	444	7	proved	prove	VERB
ejpam-3408	444	8	by	by	ADP
ejpam-3408	444	9	finding	find	VERB
ejpam-3408	444	10	a	a	DET
ejpam-3408	444	11	partial	partial	ADJ
ejpam-3408	444	12	basis	basis	NOUN
ejpam-3408	444	13	for	for	ADP
ejpam-3408	444	14	the	the	DET
ejpam-3408	444	15	free	free	PROPN
ejpam-3408	444	16	jordan	jordan	PROPN
ejpam-3408	444	17	ring	ring	NOUN
ejpam-3408	444	18	with	with	ADP
ejpam-3408	444	19	two	two	NUM
ejpam-3408	444	20	generators	generator	NOUN
ejpam-3408	444	21	,	,	PUNCT
ejpam-3408	444	22	the	the	DET
ejpam-3408	444	23	basis	basis	NOUN
ejpam-3408	444	24	being	be	AUX
ejpam-3408	444	25	found	find	VERB
ejpam-3408	444	26	for	for	ADP
ejpam-3408	444	27	all	all	DET
ejpam-3408	444	28	elements	element	NOUN
ejpam-3408	444	29	of	of	ADP
ejpam-3408	444	30	degree	degree	NOUN
ejpam-3408	444	31	at	at	ADP
ejpam-3408	444	32	most	most	ADV
ejpam-3408	444	33	5	5	NUM
ejpam-3408	444	34	and	and	CCONJ
ejpam-3408	444	35	for	for	ADP
ejpam-3408	444	36	elements	element	NOUN
ejpam-3408	444	37	of	of	ADP
ejpam-3408	444	38	degree	degree	NOUN
ejpam-3408	444	39	4	4	NUM
ejpam-3408	444	40	in	in	ADP
ejpam-3408	444	41	a	a	DET
ejpam-3408	444	42	and	and	CCONJ
ejpam-3408	444	43	degree	degree	NOUN
ejpam-3408	444	44	2	2	NUM
ejpam-3408	444	45	in	in	ADP
ejpam-3408	444	46	b.	b.	PROPN
ejpam-3408	444	47	herstein	herstein	PROPN
ejpam-3408	444	48	[	[	X
ejpam-3408	444	49	88	88	NUM
ejpam-3408	444	50	]	]	PUNCT
ejpam-3408	444	51	in	in	ADP
ejpam-3408	444	52	1957	1957	NUM
ejpam-3408	444	53	gave	give	VERB
ejpam-3408	444	54	us	we	PRON
ejpam-3408	444	55	the	the	DET
ejpam-3408	444	56	idea	idea	NOUN
ejpam-3408	444	57	of	of	ADP
ejpam-3408	444	58	derivation	derivation	NOUN
ejpam-3408	444	59	of	of	ADP
ejpam-3408	444	60	jordan	jordan	PROPN
ejpam-3408	444	61	ring	ring	PROPN
ejpam-3408	444	62	.	.	PUNCT
ejpam-3408	445	1	he	he	PRON
ejpam-3408	445	2	mentioned	mention	VERB
ejpam-3408	445	3	that	that	SCONJ
ejpam-3408	445	4	for	for	ADP
ejpam-3408	445	5	any	any	DET
ejpam-3408	445	6	associative	associative	ADJ
ejpam-3408	445	7	ring	ring	NOUN
ejpam-3408	445	8	a	a	PRON
ejpam-3408	445	9	,	,	PUNCT
ejpam-3408	445	10	from	from	ADP
ejpam-3408	445	11	its	its	PRON
ejpam-3408	445	12	operations	operation	NOUN
ejpam-3408	445	13	and	and	CCONJ
ejpam-3408	445	14	elements	element	NOUN
ejpam-3408	445	15	a	a	DET
ejpam-3408	445	16	new	new	ADJ
ejpam-3408	445	17	ring	ring	NOUN
ejpam-3408	445	18	can	can	AUX
ejpam-3408	445	19	be	be	AUX
ejpam-3408	445	20	obtained	obtain	VERB
ejpam-3408	445	21	,	,	PUNCT
ejpam-3408	445	22	that	that	PRON
ejpam-3408	445	23	is	be	AUX
ejpam-3408	445	24	the	the	DET
ejpam-3408	445	25	jordan	jordan	PROPN
ejpam-3408	445	26	ring	ring	NOUN
ejpam-3408	445	27	of	of	ADP
ejpam-3408	445	28	a	a	PRON
ejpam-3408	445	29	,	,	PUNCT
ejpam-3408	445	30	by	by	ADP
ejpam-3408	445	31	defining	define	VERB
ejpam-3408	445	32	the	the	DET
ejpam-3408	445	33	product	product	NOUN
ejpam-3408	445	34	in	in	ADP
ejpam-3408	445	35	the	the	DET
ejpam-3408	445	36	ring	ring	NOUN
ejpam-3408	445	37	to	to	PART
ejpam-3408	445	38	be	be	AUX
ejpam-3408	445	39	a	a	DET
ejpam-3408	445	40	o	o	NOUN
ejpam-3408	445	41	b	b	NOUN
ejpam-3408	445	42	=	=	SYM
ejpam-3408	445	43	ab	ab	PROPN
ejpam-3408	445	44	+	+	CCONJ
ejpam-3408	445	45	ba	ba	PROPN
ejpam-3408	445	46	for	for	ADP
ejpam-3408	445	47	all	all	DET
ejpam-3408	445	48	a	a	DET
ejpam-3408	445	49	,	,	PUNCT
ejpam-3408	445	50	b	b	X
ejpam-3408	445	51	∈	∈	PROPN
ejpam-3408	445	52	a.	a.	NOUN
ejpam-3408	445	53	in	in	ADP
ejpam-3408	445	54	1958	1958	NUM
ejpam-3408	445	55	,	,	PUNCT
ejpam-3408	445	56	shirshov	shirshov	NOUN
ejpam-3408	446	1	[	[	X
ejpam-3408	446	2	220	220	NUM
ejpam-3408	446	3	]	]	PUNCT
ejpam-3408	446	4	has	have	AUX
ejpam-3408	446	5	made	make	VERB
ejpam-3408	446	6	a	a	DET
ejpam-3408	446	7	detailed	detailed	ADJ
ejpam-3408	446	8	discussion	discussion	NOUN
ejpam-3408	446	9	of	of	ADP
ejpam-3408	446	10	non	non	ADJ
ejpam-3408	446	11	-	-	ADJ
ejpam-3408	446	12	associative	associative	ADJ
ejpam-3408	446	13	structures	structure	NOUN
ejpam-3408	446	14	including	include	VERB
ejpam-3408	446	15	jordan	jordan	PROPN
ejpam-3408	446	16	rings	rings	PROPN
ejpam-3408	446	17	.	.	PUNCT
ejpam-3408	447	1	he	he	PRON
ejpam-3408	447	2	also	also	ADV
ejpam-3408	447	3	constructed	construct	VERB
ejpam-3408	447	4	some	some	DET
ejpam-3408	447	5	special	special	ADJ
ejpam-3408	447	6	jordan	jordan	PROPN
ejpam-3408	447	7	rings	rings	PROPN
ejpam-3408	447	8	.	.	PUNCT
ejpam-3408	448	1	in	in	ADP
ejpam-3408	448	2	1963	1963	NUM
ejpam-3408	448	3	,	,	PUNCT
ejpam-3408	448	4	brown	brown	ADJ
ejpam-3408	449	1	[	[	X
ejpam-3408	449	2	19	19	NUM
ejpam-3408	449	3	]	]	PUNCT
ejpam-3408	449	4	pointed	point	VERB
ejpam-3408	449	5	out	out	ADP
ejpam-3408	449	6	a	a	DET
ejpam-3408	449	7	problem	problem	NOUN
ejpam-3408	449	8	of	of	ADP
ejpam-3408	449	9	interest	interest	NOUN
ejpam-3408	449	10	in	in	ADP
ejpam-3408	449	11	non	non	ADJ
ejpam-3408	449	12	-	-	ADJ
ejpam-3408	449	13	associative	associative	ADJ
ejpam-3408	449	14	algebras	algebra	NOUN
ejpam-3408	449	15	,	,	PUNCT
ejpam-3408	449	16	regarding	regard	VERB
ejpam-3408	449	17	the	the	DET
ejpam-3408	449	18	study	study	NOUN
ejpam-3408	449	19	of	of	ADP
ejpam-3408	449	20	generalized	generalized	ADJ
ejpam-3408	449	21	cayley	cayley	ADJ
ejpam-3408	449	22	algebras	algebra	NOUN
ejpam-3408	449	23	and	and	CCONJ
ejpam-3408	449	24	exceptional	exceptional	ADJ
ejpam-3408	449	25	simple	simple	ADJ
ejpam-3408	449	26	jordan	jordan	PROPN
ejpam-3408	449	27	algebras	algebras	PROPN
ejpam-3408	449	28	which	which	PRON
ejpam-3408	449	29	were	be	AUX
ejpam-3408	449	30	closely	closely	ADV
ejpam-3408	449	31	related	relate	VERB
ejpam-3408	449	32	to	to	ADP
ejpam-3408	449	33	the	the	DET
ejpam-3408	449	34	exceptional	exceptional	ADJ
ejpam-3408	449	35	simple	simple	ADJ
ejpam-3408	449	36	lie	lie	NOUN
ejpam-3408	449	37	algebras	algebra	NOUN
ejpam-3408	449	38	.	.	PUNCT
ejpam-3408	450	1	in	in	ADP
ejpam-3408	450	2	his	his	PRON
ejpam-3408	450	3	work	work	NOUN
ejpam-3408	450	4	,	,	PUNCT
ejpam-3408	450	5	he	he	PRON
ejpam-3408	450	6	defined	define	VERB
ejpam-3408	450	7	a	a	DET
ejpam-3408	450	8	new	new	ADJ
ejpam-3408	450	9	class	class	NOUN
ejpam-3408	450	10	of	of	ADP
ejpam-3408	450	11	simple	simple	ADJ
ejpam-3408	450	12	non	non	ADJ
ejpam-3408	450	13	-	-	ADJ
ejpam-3408	450	14	associative	associative	ADJ
ejpam-3408	450	15	algebras	algebra	NOUN
ejpam-3408	450	16	of	of	ADP
ejpam-3408	450	17	dimension	dimension	NOUN
ejpam-3408	450	18	56	56	NUM
ejpam-3408	450	19	over	over	ADP
ejpam-3408	450	20	their	their	PRON
ejpam-3408	450	21	centers	center	NOUN
ejpam-3408	450	22	and	and	CCONJ
ejpam-3408	450	23	possessing	possess	VERB
ejpam-3408	450	24	nondegenerate	nondegenerate	NOUN
ejpam-3408	450	25	trace	trace	NOUN
ejpam-3408	450	26	forms	form	NOUN
ejpam-3408	450	27	,	,	PUNCT
ejpam-3408	450	28	such	such	ADJ
ejpam-3408	450	29	that	that	SCONJ
ejpam-3408	450	30	the	the	DET
ejpam-3408	450	31	derivations	derivation	NOUN
ejpam-3408	450	32	and	and	CCONJ
ejpam-3408	450	33	left	leave	VERB
ejpam-3408	450	34	multiplications	multiplication	NOUN
ejpam-3408	450	35	of	of	ADP
ejpam-3408	450	36	elements	element	NOUN
ejpam-3408	450	37	of	of	ADP
ejpam-3408	450	38	trace	trace	NOUN
ejpam-3408	450	39	zero	zero	NUM
ejpam-3408	450	40	generate	generate	VERB
ejpam-3408	450	41	lie	lie	NOUN
ejpam-3408	450	42	algebras	algebra	NOUN
ejpam-3408	450	43	of	of	ADP
ejpam-3408	450	44	type	type	NOUN
ejpam-3408	450	45	e7	e7	PROPN
ejpam-3408	450	46	.	.	PUNCT
ejpam-3408	451	1	moreover	moreover	ADV
ejpam-3408	451	2	,	,	PUNCT
ejpam-3408	451	3	in	in	ADP
ejpam-3408	451	4	1964	1964	NUM
ejpam-3408	451	5	,	,	PUNCT
ejpam-3408	451	6	kleinfeld	kleinfeld	VERB
ejpam-3408	452	1	[	[	X
ejpam-3408	452	2	138	138	NUM
ejpam-3408	452	3	]	]	PUNCT
ejpam-3408	452	4	gave	give	VERB
ejpam-3408	452	5	the	the	DET
ejpam-3408	452	6	concept	concept	NOUN
ejpam-3408	452	7	of	of	ADP
ejpam-3408	452	8	middle	middle	ADJ
ejpam-3408	452	9	nucleus	nucleus	NOUN
ejpam-3408	452	10	and	and	CCONJ
ejpam-3408	452	11	center	center	NOUN
ejpam-3408	452	12	in	in	ADP
ejpam-3408	452	13	simple	simple	ADJ
ejpam-3408	452	14	jordan	jordan	PROPN
ejpam-3408	452	15	ring	ring	PROPN
ejpam-3408	452	16	.	.	PUNCT
ejpam-3408	453	1	he	he	PRON
ejpam-3408	453	2	established	establish	VERB
ejpam-3408	453	3	the	the	DET
ejpam-3408	453	4	result	result	NOUN
ejpam-3408	453	5	that	that	SCONJ
ejpam-3408	453	6	in	in	ADP
ejpam-3408	453	7	a	a	DET
ejpam-3408	453	8	simple	simple	ADJ
ejpam-3408	453	9	jordan	jordan	PROPN
ejpam-3408	453	10	ring	ring	NOUN
ejpam-3408	453	11	of	of	ADP
ejpam-3408	453	12	characteristic	characteristic	ADJ
ejpam-3408	453	13	6=	6=	NUM
ejpam-3408	453	14	2	2	NUM
ejpam-3408	453	15	the	the	DET
ejpam-3408	453	16	middle	middle	ADJ
ejpam-3408	453	17	nucleus	nucleus	PROPN
ejpam-3408	453	18	and	and	CCONJ
ejpam-3408	453	19	center	center	ADJ
ejpam-3408	453	20	coincide	coincide	NOUN
ejpam-3408	453	21	.	.	PUNCT
ejpam-3408	454	1	mccrimmon	mccrimmon	ADJ
ejpam-3408	454	2	[	[	X
ejpam-3408	454	3	176	176	NUM
ejpam-3408	454	4	]	]	PUNCT
ejpam-3408	454	5	in	in	ADP
ejpam-3408	454	6	1966	1966	NUM
ejpam-3408	454	7	discussed	discuss	VERB
ejpam-3408	454	8	about	about	ADP
ejpam-3408	454	9	the	the	DET
ejpam-3408	454	10	structure	structure	NOUN
ejpam-3408	454	11	,	,	PUNCT
ejpam-3408	454	12	characteristics	characteristic	NOUN
ejpam-3408	454	13	and	and	CCONJ
ejpam-3408	454	14	general	general	ADJ
ejpam-3408	454	15	theory	theory	NOUN
ejpam-3408	454	16	of	of	ADP
ejpam-3408	454	17	jordan	jordan	PROPN
ejpam-3408	454	18	rings	rings	PROPN
ejpam-3408	454	19	.	.	PUNCT
ejpam-3408	455	1	a	a	DET
ejpam-3408	455	2	jordan	jordan	PROPN
ejpam-3408	455	3	ring	ring	PROPN
ejpam-3408	455	4	(	(	PUNCT
ejpam-3408	455	5	i.e.	i.e.	X
ejpam-3408	455	6	,	,	PUNCT
ejpam-3408	455	7	algebra	algebra	NOUN
ejpam-3408	455	8	over	over	ADP
ejpam-3408	455	9	the	the	DET
ejpam-3408	455	10	ring	ring	NOUN
ejpam-3408	455	11	of	of	ADP
ejpam-3408	455	12	integers	integer	NOUN
ejpam-3408	455	13	)	)	PUNCT
ejpam-3408	455	14	is	be	AUX
ejpam-3408	455	15	called	call	VERB
ejpam-3408	455	16	non	non	ADJ
ejpam-3408	455	17	-	-	ADJ
ejpam-3408	455	18	degenerate	degenerate	ADJ
ejpam-3408	455	19	if	if	SCONJ
ejpam-3408	455	20	it	it	PRON
ejpam-3408	455	21	has	have	VERB
ejpam-3408	455	22	no	no	DET
ejpam-3408	455	23	proper	proper	ADJ
ejpam-3408	455	24	absolute	absolute	ADJ
ejpam-3408	455	25	zero	zero	NUM
ejpam-3408	455	26	divisors	divisor	NOUN
ejpam-3408	455	27	.	.	PUNCT
ejpam-3408	456	1	he	he	PRON
ejpam-3408	456	2	also	also	ADV
ejpam-3408	456	3	described	describe	VERB
ejpam-3408	456	4	that	that	SCONJ
ejpam-3408	456	5	a	a	DET
ejpam-3408	456	6	jacobson	jacobson	PROPN
ejpam-3408	456	7	ring	ring	NOUN
ejpam-3408	456	8	is	be	AUX
ejpam-3408	456	9	a	a	DET
ejpam-3408	456	10	jordan	jordan	PROPN
ejpam-3408	456	11	ring	ring	NOUN
ejpam-3408	456	12	such	such	ADJ
ejpam-3408	456	13	that	that	SCONJ
ejpam-3408	456	14	,	,	PUNCT
ejpam-3408	456	15	the	the	DET
ejpam-3408	456	16	descending	descend	VERB
ejpam-3408	456	17	chain	chain	NOUN
ejpam-3408	456	18	condition	condition	NOUN
ejpam-3408	456	19	holds	hold	VERB
ejpam-3408	456	20	for	for	ADP
ejpam-3408	456	21	peirce	peirce	NOUN
ejpam-3408	456	22	quadratic	quadratic	ADJ
ejpam-3408	456	23	ideals	ideal	NOUN
ejpam-3408	456	24	,	,	PUNCT
ejpam-3408	456	25	and	and	CCONJ
ejpam-3408	456	26	each	each	DET
ejpam-3408	456	27	nonzero	nonzero	PROPN
ejpam-3408	456	28	peirce	peirce	PROPN
ejpam-3408	456	29	quadratic	quadratic	PROPN
ejpam-3408	456	30	ideal	ideal	NOUN
ejpam-3408	456	31	contains	contain	VERB
ejpam-3408	456	32	a	a	DET
ejpam-3408	456	33	minimal	minimal	ADJ
ejpam-3408	456	34	quadratic	quadratic	ADJ
ejpam-3408	456	35	ideal	ideal	NOUN
ejpam-3408	456	36	.	.	PUNCT
ejpam-3408	457	1	these	these	DET
ejpam-3408	457	2	rings	ring	NOUN
ejpam-3408	457	3	play	play	VERB
ejpam-3408	457	4	a	a	DET
ejpam-3408	457	5	role	role	NOUN
ejpam-3408	457	6	in	in	ADP
ejpam-3408	457	7	the	the	DET
ejpam-3408	457	8	jordan	jordan	PROPN
ejpam-3408	457	9	theory	theory	NOUN
ejpam-3408	457	10	analogous	analogous	ADJ
ejpam-3408	457	11	to	to	ADP
ejpam-3408	457	12	that	that	PRON
ejpam-3408	457	13	played	play	VERB
ejpam-3408	457	14	by	by	ADP
ejpam-3408	457	15	the	the	DET
ejpam-3408	457	16	artinian	artinian	ADJ
ejpam-3408	457	17	rings	ring	NOUN
ejpam-3408	457	18	in	in	ADP
ejpam-3408	457	19	the	the	DET
ejpam-3408	457	20	associative	associative	ADJ
ejpam-3408	457	21	theory	theory	NOUN
ejpam-3408	457	22	.	.	PUNCT
ejpam-3408	458	1	in	in	ADP
ejpam-3408	458	2	1968	1968	NUM
ejpam-3408	458	3	,	,	PUNCT
ejpam-3408	458	4	tsai	tsai	PROPN
ejpam-3408	458	5	[	[	X
ejpam-3408	458	6	251	251	NUM
ejpam-3408	458	7	]	]	PUNCT
ejpam-3408	458	8	pointed	point	VERB
ejpam-3408	458	9	up	up	ADP
ejpam-3408	458	10	that	that	SCONJ
ejpam-3408	458	11	there	there	PRON
ejpam-3408	458	12	were	be	VERB
ejpam-3408	458	13	several	several	ADJ
ejpam-3408	458	14	definitions	definition	NOUN
ejpam-3408	458	15	of	of	ADP
ejpam-3408	458	16	radicals	radical	NOUN
ejpam-3408	458	17	for	for	ADP
ejpam-3408	458	18	general	general	ADJ
ejpam-3408	458	19	non	non	ADJ
ejpam-3408	458	20	-	-	ADJ
ejpam-3408	458	21	associative	associative	ADJ
ejpam-3408	458	22	rings	ring	NOUN
ejpam-3408	458	23	given	give	VERB
ejpam-3408	458	24	in	in	ADP
ejpam-3408	458	25	literature	literature	NOUN
ejpam-3408	458	26	.	.	PUNCT
ejpam-3408	459	1	the	the	DET
ejpam-3408	459	2	u	u	ADJ
ejpam-3408	459	3	-	-	ADJ
ejpam-3408	459	4	prime	prime	ADJ
ejpam-3408	459	5	radical	radical	NOUN
ejpam-3408	459	6	of	of	ADP
ejpam-3408	459	7	brown	brown	PROPN
ejpam-3408	459	8	-	-	PUNCT
ejpam-3408	459	9	mccoy	mccoy	PROPN
ejpam-3408	459	10	which	which	PRON
ejpam-3408	459	11	was	be	AUX
ejpam-3408	459	12	given	give	VERB
ejpam-3408	459	13	in	in	ADP
ejpam-3408	459	14	[	[	X
ejpam-3408	459	15	18	18	NUM
ejpam-3408	459	16	]	]	PUNCT
ejpam-3408	459	17	was	be	AUX
ejpam-3408	459	18	similar	similar	ADJ
ejpam-3408	459	19	to	to	ADP
ejpam-3408	459	20	the	the	DET
ejpam-3408	459	21	prime	prime	ADJ
ejpam-3408	459	22	radical	radical	NOUN
ejpam-3408	459	23	in	in	ADP
ejpam-3408	459	24	an	an	DET
ejpam-3408	459	25	associative	associative	ADJ
ejpam-3408	459	26	ring	ring	NOUN
ejpam-3408	459	27	.	.	PUNCT
ejpam-3408	460	1	however	however	ADV
ejpam-3408	460	2	,	,	PUNCT
ejpam-3408	460	3	it	it	PRON
ejpam-3408	460	4	depends	depend	VERB
ejpam-3408	460	5	on	on	ADP
ejpam-3408	460	6	the	the	DET
ejpam-3408	460	7	particular	particular	ADJ
ejpam-3408	460	8	chosen	choose	VERB
ejpam-3408	460	9	element	element	NOUN
ejpam-3408	460	10	u.	u.	VERB
ejpam-3408	461	1	the	the	DET
ejpam-3408	461	2	purpose	purpose	NOUN
ejpam-3408	461	3	of	of	ADP
ejpam-3408	461	4	the	the	DET
ejpam-3408	461	5	paper	paper	NOUN
ejpam-3408	461	6	was	be	AUX
ejpam-3408	461	7	to	to	PART
ejpam-3408	461	8	project	project	VERB
ejpam-3408	461	9	a	a	DET
ejpam-3408	461	10	definition	definition	NOUN
ejpam-3408	461	11	for	for	ADP
ejpam-3408	461	12	the	the	DET
ejpam-3408	461	13	brown	brown	PROPN
ejpam-3408	461	14	-	-	PUNCT
ejpam-3408	461	15	mccoy	mccoy	PROPN
ejpam-3408	461	16	type	type	NOUN
ejpam-3408	461	17	prime	prime	PROPN
ejpam-3408	461	18	radical	radical	NOUN
ejpam-3408	461	19	for	for	ADP
ejpam-3408	461	20	jordan	jordan	PROPN
ejpam-3408	461	21	rings	ring	NOUN
ejpam-3408	461	22	so	so	SCONJ
ejpam-3408	461	23	that	that	SCONJ
ejpam-3408	461	24	the	the	DET
ejpam-3408	461	25	radical	radical	ADJ
ejpam-3408	461	26	will	will	AUX
ejpam-3408	461	27	be	be	AUX
ejpam-3408	461	28	independent	independent	ADJ
ejpam-3408	461	29	from	from	ADP
ejpam-3408	461	30	the	the	DET
ejpam-3408	461	31	element	element	NOUN
ejpam-3408	461	32	chosen	choose	VERB
ejpam-3408	461	33	.	.	PUNCT
ejpam-3408	462	1	tsai	tsai	PROPN
ejpam-3408	463	1	[	[	X
ejpam-3408	463	2	252	252	NUM
ejpam-3408	463	3	]	]	PUNCT
ejpam-3408	463	4	in	in	ADP
ejpam-3408	463	5	1969	1969	NUM
ejpam-3408	463	6	proved	prove	VERB
ejpam-3408	463	7	that	that	SCONJ
ejpam-3408	463	8	in	in	ADP
ejpam-3408	463	9	any	any	DET
ejpam-3408	463	10	jordan	jordan	PROPN
ejpam-3408	463	11	ring	ring	PROPN
ejpam-3408	463	12	j	j	PROPN
ejpam-3408	463	13	there	there	PRON
ejpam-3408	463	14	exists	exist	VERB
ejpam-3408	463	15	a	a	DET
ejpam-3408	463	16	maximal	maximal	ADJ
ejpam-3408	463	17	von	von	PROPN
ejpam-3408	463	18	neumann	neumann	PROPN
ejpam-3408	463	19	regular	regular	PROPN
ejpam-3408	463	20	ideal	ideal	PROPN
ejpam-3408	463	21	m	m	PROPN
ejpam-3408	463	22	.	.	PUNCT
ejpam-3408	464	1	the	the	DET
ejpam-3408	464	2	existence	existence	NOUN
ejpam-3408	464	3	of	of	ADP
ejpam-3408	464	4	such	such	DET
ejpam-3408	464	5	an	an	DET
ejpam-3408	464	6	ideal	ideal	NOUN
ejpam-3408	464	7	in	in	ADP
ejpam-3408	464	8	an	an	DET
ejpam-3408	464	9	associative	associative	ADJ
ejpam-3408	464	10	ring	ring	NOUN
ejpam-3408	464	11	a	a	PRON
ejpam-3408	464	12	is	be	AUX
ejpam-3408	464	13	a	a	DET
ejpam-3408	464	14	well	well	ADV
ejpam-3408	464	15	known	know	VERB
ejpam-3408	464	16	.	.	PUNCT
ejpam-3408	465	1	in	in	ADP
ejpam-3408	465	2	fact	fact	NOUN
ejpam-3408	465	3	,	,	PUNCT
ejpam-3408	465	4	m	m	PRON
ejpam-3408	465	5	could	could	AUX
ejpam-3408	465	6	be	be	AUX
ejpam-3408	465	7	characterized	characterize	VERB
ejpam-3408	465	8	as	as	ADP
ejpam-3408	465	9	the	the	DET
ejpam-3408	465	10	set	set	NOUN
ejpam-3408	465	11	of	of	ADP
ejpam-3408	465	12	all	all	DET
ejpam-3408	465	13	elements	element	NOUN
ejpam-3408	465	14	a	a	PRON
ejpam-3408	465	15	in	in	ADP
ejpam-3408	465	16	a	a	DET
ejpam-3408	465	17	such	such	ADJ
ejpam-3408	465	18	that	that	SCONJ
ejpam-3408	465	19	any	any	DET
ejpam-3408	465	20	element	element	NOUN
ejpam-3408	465	21	in	in	ADP
ejpam-3408	465	22	the	the	DET
ejpam-3408	465	23	principal	principal	ADJ
ejpam-3408	465	24	ideal	ideal	NOUN
ejpam-3408	465	25	in	in	ADP
ejpam-3408	465	26	a	a	DET
ejpam-3408	465	27	generated	generate	VERB
ejpam-3408	465	28	by	by	ADP
ejpam-3408	465	29	a	a	PRON
ejpam-3408	465	30	is	be	AUX
ejpam-3408	465	31	a	a	DET
ejpam-3408	465	32	regular	regular	ADJ
ejpam-3408	465	33	element	element	NOUN
ejpam-3408	465	34	.	.	PUNCT
ejpam-3408	466	1	he	he	PRON
ejpam-3408	466	2	also	also	ADV
ejpam-3408	466	3	had	have	AUX
ejpam-3408	466	4	shown	show	VERB
ejpam-3408	466	5	that	that	SCONJ
ejpam-3408	466	6	the	the	DET
ejpam-3408	466	7	same	same	ADJ
ejpam-3408	466	8	characterization	characterization	NOUN
ejpam-3408	466	9	holds	hold	VERB
ejpam-3408	466	10	for	for	ADP
ejpam-3408	466	11	jordan	jordan	PROPN
ejpam-3408	466	12	rings	ring	NOUN
ejpam-3408	466	13	.	.	PUNCT
ejpam-3408	467	1	also	also	ADV
ejpam-3408	467	2	,	,	PUNCT
ejpam-3408	467	3	in	in	ADP
ejpam-3408	467	4	1969	1969	NUM
ejpam-3408	467	5	,	,	PUNCT
ejpam-3408	467	6	mccrimmon	mccrimmon	ADJ
ejpam-3408	467	7	[	[	X
ejpam-3408	467	8	177	177	NUM
ejpam-3408	467	9	]	]	PUNCT
ejpam-3408	467	10	established	establish	VERB
ejpam-3408	467	11	a	a	DET
ejpam-3408	467	12	self	self	NOUN
ejpam-3408	467	13	-	-	PUNCT
ejpam-3408	467	14	contained	contain	VERB
ejpam-3408	467	15	proof	proof	NOUN
ejpam-3408	467	16	which	which	PRON
ejpam-3408	467	17	does	do	AUX
ejpam-3408	467	18	not	not	PART
ejpam-3408	467	19	depend	depend	VERB
ejpam-3408	467	20	on	on	ADP
ejpam-3408	467	21	a.	a.	NOUN
ejpam-3408	467	22	razzaque	razzaque	NOUN
ejpam-3408	467	23	et	et	PROPN
ejpam-3408	467	24	al	al	PROPN
ejpam-3408	467	25	.	.	PUNCT
ejpam-3408	467	26	/	/	SYM
ejpam-3408	467	27	eur	eur	PROPN
ejpam-3408	467	28	.	.	PUNCT
ejpam-3408	468	1	j.	j.	PROPN
ejpam-3408	468	2	pure	pure	PROPN
ejpam-3408	468	3	appl	appl	PROPN
ejpam-3408	468	4	.	.	PROPN
ejpam-3408	468	5	math	math	PROPN
ejpam-3408	468	6	,	,	PUNCT
ejpam-3408	468	7	12	12	NUM
ejpam-3408	468	8	(	(	PUNCT
ejpam-3408	468	9	2	2	NUM
ejpam-3408	468	10	)	)	PUNCT
ejpam-3408	468	11	(	(	PUNCT
ejpam-3408	468	12	2019	2019	NUM
ejpam-3408	468	13	)	)	PUNCT
ejpam-3408	468	14	,	,	PUNCT
ejpam-3408	468	15	370	370	NUM
ejpam-3408	468	16	-	-	SYM
ejpam-3408	468	17	408	408	NUM
ejpam-3408	468	18	384	384	NUM
ejpam-3408	468	19	the	the	DET
ejpam-3408	468	20	classification	classification	NOUN
ejpam-3408	468	21	of	of	ADP
ejpam-3408	468	22	simple	simple	ADJ
ejpam-3408	468	23	rings	ring	NOUN
ejpam-3408	468	24	.	.	PUNCT
ejpam-3408	469	1	the	the	DET
ejpam-3408	469	2	author	author	NOUN
ejpam-3408	469	3	has	have	AUX
ejpam-3408	469	4	taken	take	VERB
ejpam-3408	469	5	motivation	motivation	NOUN
ejpam-3408	469	6	for	for	ADP
ejpam-3408	469	7	this	this	DET
ejpam-3408	469	8	proof	proof	NOUN
ejpam-3408	469	9	from	from	ADP
ejpam-3408	469	10	the	the	DET
ejpam-3408	469	11	work	work	NOUN
ejpam-3408	469	12	of	of	ADP
ejpam-3408	469	13	jacobson	jacobson	PROPN
ejpam-3408	469	14	[	[	X
ejpam-3408	469	15	114	114	NUM
ejpam-3408	469	16	]	]	PUNCT
ejpam-3408	469	17	in	in	ADP
ejpam-3408	469	18	which	which	PRON
ejpam-3408	469	19	he	he	PRON
ejpam-3408	469	20	has	have	AUX
ejpam-3408	469	21	provided	provide	VERB
ejpam-3408	469	22	the	the	DET
ejpam-3408	469	23	proof	proof	NOUN
ejpam-3408	469	24	in	in	ADP
ejpam-3408	469	25	which	which	PRON
ejpam-3408	469	26	he	he	PRON
ejpam-3408	469	27	used	use	VERB
ejpam-3408	469	28	the	the	DET
ejpam-3408	469	29	structure	structure	NOUN
ejpam-3408	469	30	theory	theory	NOUN
ejpam-3408	469	31	to	to	PART
ejpam-3408	469	32	reduce	reduce	VERB
ejpam-3408	469	33	the	the	DET
ejpam-3408	469	34	problem	problem	NOUN
ejpam-3408	469	35	to	to	ADP
ejpam-3408	469	36	the	the	DET
ejpam-3408	469	37	case	case	NOUN
ejpam-3408	469	38	of	of	ADP
ejpam-3408	469	39	simple	simple	ADJ
ejpam-3408	469	40	rings	ring	NOUN
ejpam-3408	469	41	,	,	PUNCT
ejpam-3408	469	42	and	and	CCONJ
ejpam-3408	469	43	then	then	ADV
ejpam-3408	469	44	proceeded	proceed	VERB
ejpam-3408	469	45	to	to	PART
ejpam-3408	469	46	check	check	VERB
ejpam-3408	469	47	the	the	DET
ejpam-3408	469	48	result	result	NOUN
ejpam-3408	469	49	for	for	ADP
ejpam-3408	469	50	each	each	PRON
ejpam-3408	469	51	of	of	ADP
ejpam-3408	469	52	the	the	DET
ejpam-3408	469	53	various	various	ADJ
ejpam-3408	469	54	types	type	NOUN
ejpam-3408	469	55	of	of	ADP
ejpam-3408	469	56	simple	simple	ADJ
ejpam-3408	469	57	rings	ring	NOUN
ejpam-3408	469	58	that	that	PRON
ejpam-3408	469	59	can	can	AUX
ejpam-3408	469	60	occur	occur	VERB
ejpam-3408	469	61	.	.	PUNCT
ejpam-3408	470	1	furthermore	furthermore	ADV
ejpam-3408	470	2	,	,	PUNCT
ejpam-3408	470	3	in	in	ADP
ejpam-3408	470	4	1970	1970	NUM
ejpam-3408	470	5	,	,	PUNCT
ejpam-3408	470	6	meyberg	meyberg	PROPN
ejpam-3408	471	1	[	[	X
ejpam-3408	471	2	182	182	NUM
ejpam-3408	471	3	]	]	PUNCT
ejpam-3408	471	4	established	establish	VERB
ejpam-3408	471	5	a	a	DET
ejpam-3408	471	6	proof	proof	NOUN
ejpam-3408	471	7	of	of	ADP
ejpam-3408	471	8	fundamental	fundamental	ADJ
ejpam-3408	471	9	-	-	PUNCT
ejpam-3408	471	10	formula	formula	NOUN
ejpam-3408	471	11	which	which	PRON
ejpam-3408	471	12	is	be	AUX
ejpam-3408	471	13	considered	consider	VERB
ejpam-3408	471	14	to	to	PART
ejpam-3408	471	15	be	be	AUX
ejpam-3408	471	16	a	a	DET
ejpam-3408	471	17	very	very	ADV
ejpam-3408	471	18	important	important	ADJ
ejpam-3408	471	19	in	in	ADP
ejpam-3408	471	20	jordan	jordan	PROPN
ejpam-3408	471	21	rings	ring	NOUN
ejpam-3408	471	22	and	and	CCONJ
ejpam-3408	471	23	given	give	VERB
ejpam-3408	471	24	a	a	DET
ejpam-3408	471	25	comparatively	comparatively	ADV
ejpam-3408	471	26	short	short	ADJ
ejpam-3408	471	27	proof	proof	NOUN
ejpam-3408	471	28	of	of	ADP
ejpam-3408	471	29	fundamental	fundamental	ADJ
ejpam-3408	471	30	-	-	PUNCT
ejpam-3408	471	31	formula	formula	NOUN
ejpam-3408	471	32	as	as	ADP
ejpam-3408	471	33	first	first	ADV
ejpam-3408	471	34	it	it	PRON
ejpam-3408	471	35	was	be	AUX
ejpam-3408	471	36	given	give	VERB
ejpam-3408	471	37	by	by	ADP
ejpam-3408	471	38	jacobson	jacobson	PROPN
ejpam-3408	472	1	[	[	X
ejpam-3408	472	2	114	114	NUM
ejpam-3408	472	3	]	]	PUNCT
ejpam-3408	472	4	.	.	PUNCT
ejpam-3408	473	1	osborn	osborn	PROPN
ejpam-3408	474	1	[	[	X
ejpam-3408	474	2	191	191	NUM
ejpam-3408	474	3	]	]	PUNCT
ejpam-3408	474	4	in	in	ADP
ejpam-3408	474	5	1970	1970	NUM
ejpam-3408	474	6	presented	present	VERB
ejpam-3408	474	7	three	three	NUM
ejpam-3408	474	8	related	relate	VERB
ejpam-3408	474	9	theorems	theorem	NOUN
ejpam-3408	474	10	,	,	PUNCT
ejpam-3408	474	11	one	one	NUM
ejpam-3408	474	12	on	on	ADP
ejpam-3408	474	13	the	the	DET
ejpam-3408	474	14	structure	structure	NOUN
ejpam-3408	474	15	of	of	ADP
ejpam-3408	474	16	jordan	jordan	PROPN
ejpam-3408	474	17	rings	ring	NOUN
ejpam-3408	474	18	in	in	ADP
ejpam-3408	474	19	which	which	PRON
ejpam-3408	474	20	every	every	DET
ejpam-3408	474	21	element	element	NOUN
ejpam-3408	474	22	is	be	AUX
ejpam-3408	474	23	either	either	CCONJ
ejpam-3408	474	24	nilpotent	nilpotent	ADJ
ejpam-3408	474	25	or	or	CCONJ
ejpam-3408	474	26	invertible	invertible	ADJ
ejpam-3408	474	27	,	,	PUNCT
ejpam-3408	474	28	and	and	CCONJ
ejpam-3408	474	29	two	two	NUM
ejpam-3408	474	30	on	on	ADP
ejpam-3408	474	31	the	the	DET
ejpam-3408	474	32	structure	structure	NOUN
ejpam-3408	474	33	of	of	ADP
ejpam-3408	474	34	associative	associative	ADJ
ejpam-3408	474	35	rings	ring	NOUN
ejpam-3408	474	36	with	with	ADP
ejpam-3408	474	37	involution	involution	NOUN
ejpam-3408	474	38	in	in	ADP
ejpam-3408	474	39	which	which	PRON
ejpam-3408	474	40	every	every	DET
ejpam-3408	474	41	symmetric	symmetric	ADJ
ejpam-3408	474	42	element	element	NOUN
ejpam-3408	474	43	is	be	AUX
ejpam-3408	474	44	either	either	CCONJ
ejpam-3408	474	45	nilpotent	nilpotent	ADJ
ejpam-3408	474	46	or	or	CCONJ
ejpam-3408	474	47	invertible	invertible	ADJ
ejpam-3408	474	48	.	.	PUNCT
ejpam-3408	475	1	the	the	DET
ejpam-3408	475	2	first	first	ADJ
ejpam-3408	475	3	of	of	ADP
ejpam-3408	475	4	these	these	DET
ejpam-3408	475	5	theorems	theorem	NOUN
ejpam-3408	475	6	was	be	AUX
ejpam-3408	475	7	a	a	DET
ejpam-3408	475	8	generalization	generalization	NOUN
ejpam-3408	475	9	of	of	ADP
ejpam-3408	475	10	a	a	DET
ejpam-3408	475	11	well	well	ADV
ejpam-3408	475	12	-	-	PUNCT
ejpam-3408	475	13	known	know	VERB
ejpam-3408	475	14	result	result	NOUN
ejpam-3408	475	15	on	on	ADP
ejpam-3408	475	16	the	the	DET
ejpam-3408	475	17	structure	structure	NOUN
ejpam-3408	475	18	of	of	ADP
ejpam-3408	475	19	jordan	jordan	PROPN
ejpam-3408	475	20	algebras	algebras	PROPN
ejpam-3408	475	21	which	which	PRON
ejpam-3408	475	22	stated	state	VERB
ejpam-3408	475	23	that	that	SCONJ
ejpam-3408	475	24	if	if	SCONJ
ejpam-3408	475	25	each	each	DET
ejpam-3408	475	26	element	element	NOUN
ejpam-3408	475	27	of	of	ADP
ejpam-3408	475	28	jordan	jordan	PROPN
ejpam-3408	475	29	algebra	algebra	PROPN
ejpam-3408	475	30	can	can	AUX
ejpam-3408	475	31	be	be	AUX
ejpam-3408	475	32	expressed	express	VERB
ejpam-3408	475	33	as	as	ADP
ejpam-3408	475	34	the	the	DET
ejpam-3408	475	35	sum	sum	NOUN
ejpam-3408	475	36	of	of	ADP
ejpam-3408	475	37	a	a	DET
ejpam-3408	475	38	nilpotent	nilpotent	ADJ
ejpam-3408	475	39	element	element	NOUN
ejpam-3408	475	40	and	and	CCONJ
ejpam-3408	475	41	a	a	DET
ejpam-3408	475	42	scalar	scalar	ADJ
ejpam-3408	475	43	multiple	multiple	NOUN
ejpam-3408	475	44	of	of	ADP
ejpam-3408	475	45	1	1	NUM
ejpam-3408	475	46	,	,	PUNCT
ejpam-3408	475	47	then	then	ADV
ejpam-3408	475	48	the	the	DET
ejpam-3408	475	49	nilpotent	nilpotent	ADJ
ejpam-3408	475	50	elements	element	NOUN
ejpam-3408	475	51	of	of	ADP
ejpam-3408	475	52	j	j	PROPN
ejpam-3408	475	53	form	form	VERB
ejpam-3408	475	54	an	an	DET
ejpam-3408	475	55	ideal	ideal	NOUN
ejpam-3408	475	56	.	.	PUNCT
ejpam-3408	476	1	also	also	ADV
ejpam-3408	476	2	tsai	tsai	PROPN
ejpam-3408	476	3	[	[	X
ejpam-3408	476	4	253	253	NUM
ejpam-3408	476	5	]	]	PUNCT
ejpam-3408	476	6	in	in	ADP
ejpam-3408	476	7	1970	1970	NUM
ejpam-3408	476	8	analyzed	analyze	VERB
ejpam-3408	476	9	that	that	SCONJ
ejpam-3408	476	10	an	an	DET
ejpam-3408	476	11	external	external	ADJ
ejpam-3408	476	12	characterization	characterization	NOUN
ejpam-3408	476	13	of	of	ADP
ejpam-3408	476	14	the	the	DET
ejpam-3408	476	15	levitzki	levitzki	NOUN
ejpam-3408	476	16	radical	radical	ADJ
ejpam-3408	476	17	of	of	ADP
ejpam-3408	476	18	a	a	DET
ejpam-3408	476	19	jordan	jordan	PROPN
ejpam-3408	476	20	ring	ring	PROPN
ejpam-3408	476	21	u	u	PROPN
ejpam-3408	476	22	as	as	ADP
ejpam-3408	476	23	the	the	DET
ejpam-3408	476	24	intersection	intersection	NOUN
ejpam-3408	476	25	of	of	ADP
ejpam-3408	476	26	a	a	DET
ejpam-3408	476	27	family	family	NOUN
ejpam-3408	476	28	of	of	ADP
ejpam-3408	476	29	prime	prime	ADJ
ejpam-3408	476	30	ideals	ideal	NOUN
ejpam-3408	476	31	u	u	NOUN
ejpam-3408	476	32	.	.	PUNCT
ejpam-3408	477	1	he	he	PRON
ejpam-3408	477	2	also	also	ADV
ejpam-3408	477	3	discussed	discuss	VERB
ejpam-3408	477	4	that	that	SCONJ
ejpam-3408	477	5	by	by	ADP
ejpam-3408	477	6	applying	apply	VERB
ejpam-3408	477	7	this	this	DET
ejpam-3408	477	8	characterization	characterization	NOUN
ejpam-3408	477	9	,	,	PUNCT
ejpam-3408	477	10	it	it	PRON
ejpam-3408	477	11	was	be	AUX
ejpam-3408	477	12	easy	easy	ADJ
ejpam-3408	477	13	to	to	PART
ejpam-3408	477	14	see	see	VERB
ejpam-3408	477	15	that	that	SCONJ
ejpam-3408	477	16	the	the	DET
ejpam-3408	477	17	levitzki	levitzki	NOUN
ejpam-3408	477	18	radical	radical	ADJ
ejpam-3408	477	19	of	of	ADP
ejpam-3408	477	20	a	a	DET
ejpam-3408	477	21	jordan	jordan	PROPN
ejpam-3408	477	22	ring	ring	NOUN
ejpam-3408	477	23	contains	contain	VERB
ejpam-3408	477	24	the	the	DET
ejpam-3408	477	25	prime	prime	ADJ
ejpam-3408	477	26	radical	radical	NOUN
ejpam-3408	477	27	of	of	ADP
ejpam-3408	477	28	the	the	DET
ejpam-3408	477	29	same	same	ADJ
ejpam-3408	477	30	ring	ring	NOUN
ejpam-3408	477	31	.	.	PUNCT
ejpam-3408	478	1	for	for	ADP
ejpam-3408	478	2	associative	associative	ADJ
ejpam-3408	478	3	rings	ring	NOUN
ejpam-3408	478	4	the	the	DET
ejpam-3408	478	5	same	same	ADJ
ejpam-3408	478	6	statement	statement	NOUN
ejpam-3408	478	7	was	be	AUX
ejpam-3408	478	8	well	well	ADV
ejpam-3408	478	9	known	know	VERB
ejpam-3408	478	10	,	,	PUNCT
ejpam-3408	478	11	since	since	SCONJ
ejpam-3408	478	12	the	the	DET
ejpam-3408	478	13	prime	prime	ADJ
ejpam-3408	478	14	radical	radical	ADJ
ejpam-3408	478	15	in	in	ADP
ejpam-3408	478	16	associative	associative	ADJ
ejpam-3408	478	17	rings	ring	NOUN
ejpam-3408	478	18	was	be	AUX
ejpam-3408	478	19	called	call	VERB
ejpam-3408	478	20	the	the	DET
ejpam-3408	478	21	baer	baer	PROPN
ejpam-3408	478	22	radical	radical	PROPN
ejpam-3408	478	23	.	.	PUNCT
ejpam-3408	479	1	if	if	SCONJ
ejpam-3408	479	2	the	the	DET
ejpam-3408	479	3	minimal	minimal	ADJ
ejpam-3408	479	4	condition	condition	NOUN
ejpam-3408	479	5	on	on	ADP
ejpam-3408	479	6	ideals	ideal	NOUN
ejpam-3408	479	7	holds	hold	VERB
ejpam-3408	479	8	on	on	ADP
ejpam-3408	479	9	jordan	jordan	PROPN
ejpam-3408	479	10	ring	ring	PROPN
ejpam-3408	479	11	u	u	PROPN
ejpam-3408	479	12	,	,	PUNCT
ejpam-3408	479	13	then	then	ADV
ejpam-3408	479	14	the	the	DET
ejpam-3408	479	15	levitzki	levitzki	NOUN
ejpam-3408	479	16	radical	radical	ADJ
ejpam-3408	479	17	,	,	PUNCT
ejpam-3408	479	18	l(u	l(u	PROPN
ejpam-3408	479	19	)	)	PUNCT
ejpam-3408	479	20	,	,	PUNCT
ejpam-3408	479	21	and	and	CCONJ
ejpam-3408	479	22	the	the	DET
ejpam-3408	479	23	prime	prime	ADJ
ejpam-3408	479	24	radical	radical	ADJ
ejpam-3408	479	25	,	,	PUNCT
ejpam-3408	479	26	r(u	r(u	PROPN
ejpam-3408	479	27	)	)	PUNCT
ejpam-3408	479	28	of	of	ADP
ejpam-3408	479	29	u	u	PROPN
ejpam-3408	479	30	coincide	coincide	NOUN
ejpam-3408	479	31	.	.	PUNCT
ejpam-3408	480	1	in	in	ADP
ejpam-3408	480	2	1971	1971	NUM
ejpam-3408	480	3	,	,	PUNCT
ejpam-3408	480	4	mccrimmon	mccrimmon	ADJ
ejpam-3408	480	5	[	[	X
ejpam-3408	480	6	178	178	NUM
ejpam-3408	480	7	]	]	PUNCT
ejpam-3408	480	8	derived	derive	VERB
ejpam-3408	480	9	a	a	DET
ejpam-3408	480	10	general	general	ADJ
ejpam-3408	480	11	structure	structure	NOUN
ejpam-3408	480	12	theory	theory	NOUN
ejpam-3408	480	13	for	for	ADP
ejpam-3408	480	14	noncommutative	noncommutative	PROPN
ejpam-3408	480	15	jordan	jordan	PROPN
ejpam-3408	480	16	rings	rings	PROPN
ejpam-3408	480	17	.	.	PUNCT
ejpam-3408	481	1	he	he	PRON
ejpam-3408	481	2	defined	define	VERB
ejpam-3408	481	3	a	a	DET
ejpam-3408	481	4	jacobson	jacobson	PROPN
ejpam-3408	481	5	radical	radical	PROPN
ejpam-3408	481	6	and	and	CCONJ
ejpam-3408	481	7	showed	show	VERB
ejpam-3408	481	8	it	it	PRON
ejpam-3408	481	9	coincides	coincide	VERB
ejpam-3408	481	10	with	with	ADP
ejpam-3408	481	11	the	the	DET
ejpam-3408	481	12	nil	nil	ADJ
ejpam-3408	481	13	radical	radical	ADJ
ejpam-3408	481	14	for	for	ADP
ejpam-3408	481	15	rings	ring	NOUN
ejpam-3408	481	16	with	with	ADP
ejpam-3408	481	17	descending	descend	VERB
ejpam-3408	481	18	chain	chain	NOUN
ejpam-3408	481	19	condition	condition	NOUN
ejpam-3408	481	20	on	on	ADP
ejpam-3408	481	21	inner	inner	ADJ
ejpam-3408	481	22	ideals	ideal	NOUN
ejpam-3408	481	23	;	;	PUNCT
ejpam-3408	481	24	semisimple	semisimple	NOUN
ejpam-3408	481	25	rings	ring	NOUN
ejpam-3408	481	26	with	with	ADP
ejpam-3408	481	27	d.c.c	d.c.c	NOUN
ejpam-3408	481	28	.	.	PUNCT
ejpam-3408	482	1	were	be	AUX
ejpam-3408	482	2	shown	show	VERB
ejpam-3408	482	3	to	to	PART
ejpam-3408	482	4	be	be	AUX
ejpam-3408	482	5	direct	direct	ADJ
ejpam-3408	482	6	sums	sum	NOUN
ejpam-3408	482	7	of	of	ADP
ejpam-3408	482	8	simple	simple	ADJ
ejpam-3408	482	9	rings	ring	NOUN
ejpam-3408	482	10	,	,	PUNCT
ejpam-3408	482	11	and	and	CCONJ
ejpam-3408	482	12	the	the	DET
ejpam-3408	482	13	simple	simple	ADJ
ejpam-3408	482	14	rings	ring	NOUN
ejpam-3408	482	15	to	to	PART
ejpam-3408	482	16	be	be	AUX
ejpam-3408	482	17	essentially	essentially	ADV
ejpam-3408	482	18	the	the	DET
ejpam-3408	482	19	familiar	familiar	ADJ
ejpam-3408	482	20	ones	one	NOUN
ejpam-3408	482	21	.	.	PUNCT
ejpam-3408	483	1	in	in	ADP
ejpam-3408	483	2	addition	addition	NOUN
ejpam-3408	483	3	he	he	PRON
ejpam-3408	483	4	also	also	ADV
ejpam-3408	483	5	obtained	obtain	VERB
ejpam-3408	483	6	results	result	NOUN
ejpam-3408	483	7	,	,	PUNCT
ejpam-3408	483	8	which	which	PRON
ejpam-3408	483	9	seem	seem	VERB
ejpam-3408	483	10	to	to	PART
ejpam-3408	483	11	be	be	AUX
ejpam-3408	483	12	new	new	ADJ
ejpam-3408	483	13	even	even	ADV
ejpam-3408	483	14	in	in	ADP
ejpam-3408	483	15	characteristic6=	characteristic6=	NOUN
ejpam-3408	483	16	2	2	NUM
ejpam-3408	483	17	,	,	PUNCT
ejpam-3408	483	18	concerning	concern	VERB
ejpam-3408	483	19	algebras	algebra	NOUN
ejpam-3408	483	20	without	without	ADP
ejpam-3408	483	21	finiteness	finiteness	ADJ
ejpam-3408	483	22	conditions	condition	NOUN
ejpam-3408	483	23	.	.	PUNCT
ejpam-3408	484	1	he	he	PRON
ejpam-3408	484	2	also	also	ADV
ejpam-3408	484	3	showed	show	VERB
ejpam-3408	484	4	that	that	SCONJ
ejpam-3408	484	5	an	an	DET
ejpam-3408	484	6	arbitrary	arbitrary	ADJ
ejpam-3408	484	7	simple	simple	ADJ
ejpam-3408	484	8	non	non	ADJ
ejpam-3408	484	9	-	-	ADJ
ejpam-3408	484	10	commutative	commutative	ADJ
ejpam-3408	484	11	jordan	jordan	PROPN
ejpam-3408	484	12	ring	ring	NOUN
ejpam-3408	484	13	containing	contain	VERB
ejpam-3408	484	14	two	two	NUM
ejpam-3408	484	15	nonzero	nonzero	NOUN
ejpam-3408	484	16	idempotent	idempotent	NOUN
ejpam-3408	484	17	whose	whose	DET
ejpam-3408	484	18	sum	sum	NOUN
ejpam-3408	484	19	is	be	AUX
ejpam-3408	484	20	not	not	PART
ejpam-3408	484	21	1	1	NUM
ejpam-3408	484	22	is	be	AUX
ejpam-3408	484	23	either	either	CCONJ
ejpam-3408	484	24	commutative	commutative	ADJ
ejpam-3408	484	25	or	or	CCONJ
ejpam-3408	484	26	quasi	quasi	ADJ
ejpam-3408	484	27	-	-	NOUN
ejpam-3408	484	28	associative	associative	ADJ
ejpam-3408	484	29	.	.	PUNCT
ejpam-3408	485	1	erickson	erickson	PROPN
ejpam-3408	485	2	and	and	CCONJ
ejpam-3408	485	3	montgomery	montgomery	PROPN
ejpam-3408	486	1	[	[	X
ejpam-3408	486	2	46	46	NUM
ejpam-3408	486	3	]	]	PUNCT
ejpam-3408	486	4	in	in	ADP
ejpam-3408	486	5	1971	1971	NUM
ejpam-3408	486	6	observed	observe	VERB
ejpam-3408	486	7	the	the	DET
ejpam-3408	486	8	special	special	ADJ
ejpam-3408	486	9	jordan	jordan	PROPN
ejpam-3408	486	10	ring	ring	PROPN
ejpam-3408	486	11	r+	r+	PUNCT
ejpam-3408	486	12	,	,	PUNCT
ejpam-3408	486	13	and	and	CCONJ
ejpam-3408	486	14	when	when	SCONJ
ejpam-3408	486	15	r	r	NOUN
ejpam-3408	486	16	has	have	VERB
ejpam-3408	486	17	an	an	DET
ejpam-3408	486	18	involution	involution	NOUN
ejpam-3408	486	19	and	and	CCONJ
ejpam-3408	486	20	r	r	NOUN
ejpam-3408	486	21	is	be	AUX
ejpam-3408	486	22	associative	associative	ADJ
ejpam-3408	486	23	ring	ring	NOUN
ejpam-3408	486	24	,	,	PUNCT
ejpam-3408	486	25	the	the	DET
ejpam-3408	486	26	special	special	ADJ
ejpam-3408	486	27	jordan	jordan	PROPN
ejpam-3408	486	28	ring	ring	PROPN
ejpam-3408	486	29	s	s	PROPN
ejpam-3408	486	30	of	of	ADP
ejpam-3408	486	31	symmetric	symmetric	ADJ
ejpam-3408	486	32	elements	element	NOUN
ejpam-3408	486	33	.	.	PUNCT
ejpam-3408	487	1	they	they	PRON
ejpam-3408	487	2	first	first	ADV
ejpam-3408	487	3	showed	show	VERB
ejpam-3408	487	4	that	that	SCONJ
ejpam-3408	487	5	the	the	DET
ejpam-3408	487	6	prime	prime	ADJ
ejpam-3408	487	7	radical	radical	NOUN
ejpam-3408	487	8	of	of	ADP
ejpam-3408	487	9	r	r	NOUN
ejpam-3408	487	10	equals	equal	VERB
ejpam-3408	487	11	the	the	DET
ejpam-3408	487	12	prime	prime	ADJ
ejpam-3408	487	13	radical	radical	NOUN
ejpam-3408	487	14	of	of	ADP
ejpam-3408	487	15	r+	r+	NOUN
ejpam-3408	487	16	,	,	PUNCT
ejpam-3408	487	17	and	and	CCONJ
ejpam-3408	487	18	that	that	SCONJ
ejpam-3408	487	19	the	the	DET
ejpam-3408	487	20	prime	prime	ADJ
ejpam-3408	487	21	radical	radical	NOUN
ejpam-3408	487	22	of	of	ADP
ejpam-3408	487	23	r	r	NOUN
ejpam-3408	487	24	intersected	intersect	VERB
ejpam-3408	487	25	with	with	ADP
ejpam-3408	487	26	s	s	PROPN
ejpam-3408	487	27	is	be	AUX
ejpam-3408	487	28	the	the	DET
ejpam-3408	487	29	prime	prime	ADJ
ejpam-3408	487	30	radical	radical	NOUN
ejpam-3408	487	31	of	of	ADP
ejpam-3408	487	32	s.	s.	PROPN
ejpam-3408	487	33	also	also	ADV
ejpam-3408	487	34	they	they	PRON
ejpam-3408	487	35	gave	give	VERB
ejpam-3408	487	36	an	an	DET
ejpam-3408	487	37	elementary	elementary	ADJ
ejpam-3408	487	38	characterization	characterization	NOUN
ejpam-3408	487	39	,	,	PUNCT
ejpam-3408	487	40	in	in	ADP
ejpam-3408	487	41	terms	term	NOUN
ejpam-3408	487	42	of	of	ADP
ejpam-3408	487	43	the	the	DET
ejpam-3408	487	44	associative	associative	ADJ
ejpam-3408	487	45	structure	structure	NOUN
ejpam-3408	487	46	of	of	ADP
ejpam-3408	487	47	r	r	NOUN
ejpam-3408	487	48	,	,	PUNCT
ejpam-3408	487	49	of	of	ADP
ejpam-3408	487	50	primeness	primeness	NOUN
ejpam-3408	487	51	of	of	ADP
ejpam-3408	487	52	s.	s.	PROPN
ejpam-3408	487	53	finally	finally	ADV
ejpam-3408	487	54	,	,	PUNCT
ejpam-3408	487	55	they	they	PRON
ejpam-3408	487	56	proved	prove	VERB
ejpam-3408	487	57	that	that	SCONJ
ejpam-3408	487	58	a	a	DET
ejpam-3408	487	59	prime	prime	ADJ
ejpam-3408	487	60	ideal	ideal	NOUN
ejpam-3408	487	61	of	of	ADP
ejpam-3408	487	62	r	r	NOUN
ejpam-3408	487	63	intersected	intersect	VERB
ejpam-3408	487	64	with	with	ADP
ejpam-3408	487	65	s	s	PROPN
ejpam-3408	487	66	is	be	AUX
ejpam-3408	487	67	a	a	DET
ejpam-3408	487	68	prime	prime	ADJ
ejpam-3408	487	69	jordan	jordan	PROPN
ejpam-3408	487	70	ideal	ideal	PROPN
ejpam-3408	487	71	of	of	ADP
ejpam-3408	487	72	s.	s.	PROPN
ejpam-3408	487	73	also	also	ADV
ejpam-3408	487	74	,	,	PUNCT
ejpam-3408	487	75	in	in	ADP
ejpam-3408	487	76	1971	1971	NUM
ejpam-3408	487	77	,	,	PUNCT
ejpam-3408	487	78	shestakov	shestakov	X
ejpam-3408	488	1	[	[	X
ejpam-3408	488	2	218	218	NUM
ejpam-3408	488	3	]	]	PUNCT
ejpam-3408	488	4	considered	consider	VERB
ejpam-3408	488	5	the	the	DET
ejpam-3408	488	6	class	class	NOUN
ejpam-3408	488	7	of	of	ADP
ejpam-3408	488	8	non	non	ADJ
ejpam-3408	488	9	-	-	ADJ
ejpam-3408	488	10	commutative	commutative	ADJ
ejpam-3408	488	11	jordan	jordan	PROPN
ejpam-3408	488	12	rings	rings	PROPN
ejpam-3408	488	13	.	.	PUNCT
ejpam-3408	489	1	this	this	DET
ejpam-3408	489	2	class	class	NOUN
ejpam-3408	489	3	generalized	generalize	VERB
ejpam-3408	489	4	the	the	DET
ejpam-3408	489	5	class	class	NOUN
ejpam-3408	489	6	of	of	ADP
ejpam-3408	489	7	rings	ring	NOUN
ejpam-3408	489	8	introduced	introduce	VERB
ejpam-3408	489	9	by	by	ADP
ejpam-3408	489	10	block	block	NOUN
ejpam-3408	489	11	[	[	X
ejpam-3408	489	12	13	13	NUM
ejpam-3408	489	13	]	]	PUNCT
ejpam-3408	489	14	and	and	CCONJ
ejpam-3408	489	15	thedy	thedy	NOUN
ejpam-3408	490	1	[	[	X
ejpam-3408	490	2	249	249	NUM
ejpam-3408	490	3	]	]	PUNCT
ejpam-3408	490	4	.	.	PUNCT
ejpam-3408	491	1	also	also	ADV
ejpam-3408	491	2	he	he	PRON
ejpam-3408	491	3	demonstrated	demonstrate	VERB
ejpam-3408	491	4	,	,	PUNCT
ejpam-3408	491	5	for	for	ADP
ejpam-3408	491	6	rings	ring	NOUN
ejpam-3408	491	7	of	of	ADP
ejpam-3408	491	8	the	the	DET
ejpam-3408	491	9	given	give	VERB
ejpam-3408	491	10	class	class	NOUN
ejpam-3408	491	11	,	,	PUNCT
ejpam-3408	491	12	a	a	DET
ejpam-3408	491	13	theorem	theorem	NOUN
ejpam-3408	491	14	on	on	ADP
ejpam-3408	491	15	nilpotency	nilpotency	NOUN
ejpam-3408	491	16	of	of	ADP
ejpam-3408	491	17	null	null	ADJ
ejpam-3408	491	18	rings	ring	NOUN
ejpam-3408	491	19	with	with	ADP
ejpam-3408	491	20	a	a	DET
ejpam-3408	491	21	maximality	maximality	NOUN
ejpam-3408	491	22	condition	condition	NOUN
ejpam-3408	491	23	for	for	ADP
ejpam-3408	491	24	sub	sub	NOUN
ejpam-3408	491	25	-	-	NOUN
ejpam-3408	491	26	rings	ring	NOUN
ejpam-3408	491	27	and	and	CCONJ
ejpam-3408	491	28	for	for	ADP
ejpam-3408	491	29	anti	anti	ADJ
ejpam-3408	491	30	-	-	ADJ
ejpam-3408	491	31	commutative	commutative	ADJ
ejpam-3408	491	32	rings	ring	NOUN
ejpam-3408	491	33	satisfying	satisfy	VERB
ejpam-3408	491	34	the	the	DET
ejpam-3408	491	35	third	third	ADJ
ejpam-3408	491	36	engel	engel	PROPN
ejpam-3408	491	37	condition	condition	NOUN
ejpam-3408	491	38	[	[	X
ejpam-3408	491	39	152	152	NUM
ejpam-3408	491	40	]	]	PUNCT
ejpam-3408	491	41	.	.	PUNCT
ejpam-3408	492	1	moreover	moreover	ADV
ejpam-3408	492	2	,	,	PUNCT
ejpam-3408	492	3	he	he	PRON
ejpam-3408	492	4	generalized	generalize	VERB
ejpam-3408	492	5	nilpotency	nilpotency	NOUN
ejpam-3408	492	6	of	of	ADP
ejpam-3408	492	7	finite	finite	ADJ
ejpam-3408	492	8	-	-	ADJ
ejpam-3408	492	9	dimensional	dimensional	ADJ
ejpam-3408	492	10	null	null	ADJ
ejpam-3408	492	11	algebras	algebra	NOUN
ejpam-3408	492	12	of	of	ADP
ejpam-3408	492	13	the	the	DET
ejpam-3408	492	14	corresponding	correspond	VERB
ejpam-3408	492	15	classes	class	NOUN
ejpam-3408	492	16	.	.	PUNCT
ejpam-3408	493	1	also	also	ADV
ejpam-3408	493	2	shown	show	VERB
ejpam-3408	493	3	that	that	SCONJ
ejpam-3408	493	4	two	two	NUM
ejpam-3408	493	5	sufficiently	sufficiently	ADV
ejpam-3408	493	6	broad	broad	ADJ
ejpam-3408	493	7	subclasses	subclass	NOUN
ejpam-3408	493	8	of	of	ADP
ejpam-3408	493	9	the	the	DET
ejpam-3408	493	10	class	class	NOUN
ejpam-3408	493	11	of	of	ADP
ejpam-3408	493	12	rings	ring	NOUN
ejpam-3408	493	13	considered	consider	VERB
ejpam-3408	493	14	,	,	PUNCT
ejpam-3408	493	15	there	there	PRON
ejpam-3408	493	16	exists	exist	VERB
ejpam-3408	493	17	a	a	DET
ejpam-3408	493	18	locally	locally	ADV
ejpam-3408	493	19	nilpotent	nilpotent	ADJ
ejpam-3408	493	20	radical	radical	ADJ
ejpam-3408	493	21	.	.	PUNCT
ejpam-3408	494	1	he	he	PRON
ejpam-3408	494	2	also	also	ADV
ejpam-3408	494	3	considered	consider	VERB
ejpam-3408	494	4	finite	finite	ADJ
ejpam-3408	494	5	-	-	ADJ
ejpam-3408	494	6	dimensional	dimensional	ADJ
ejpam-3408	494	7	non	non	ADJ
ejpam-3408	494	8	-	-	ADJ
ejpam-3408	494	9	commutative	commutative	ADJ
ejpam-3408	494	10	jordan	jordan	PROPN
ejpam-3408	494	11	algebra	algebra	PROPN
ejpam-3408	494	12	.	.	PUNCT
ejpam-3408	495	1	in	in	ADP
ejpam-3408	495	2	1972	1972	NUM
ejpam-3408	495	3	,	,	PUNCT
ejpam-3408	495	4	lewand	lewand	ADJ
ejpam-3408	496	1	[	[	X
ejpam-3408	496	2	160	160	NUM
ejpam-3408	496	3	]	]	PUNCT
ejpam-3408	496	4	examined	examine	VERB
ejpam-3408	496	5	some	some	DET
ejpam-3408	496	6	radical	radical	ADJ
ejpam-3408	496	7	properties	property	NOUN
ejpam-3408	496	8	of	of	ADP
ejpam-3408	496	9	quadratic	quadratic	ADJ
ejpam-3408	496	10	jordan	jordan	PROPN
ejpam-3408	496	11	algebras	algebras	PROPN
ejpam-3408	496	12	and	and	CCONJ
ejpam-3408	496	13	showed	show	VERB
ejpam-3408	496	14	that	that	SCONJ
ejpam-3408	496	15	under	under	ADP
ejpam-3408	496	16	certain	certain	ADJ
ejpam-3408	496	17	conditions	condition	NOUN
ejpam-3408	496	18	an	an	DET
ejpam-3408	496	19	ideal	ideal	NOUN
ejpam-3408	496	20	of	of	ADP
ejpam-3408	496	21	a	a	DET
ejpam-3408	496	22	quadratic	quadratic	ADJ
ejpam-3408	496	23	jordan	jordan	PROPN
ejpam-3408	496	24	algebra	algebra	PROPN
ejpam-3408	496	25	is	be	AUX
ejpam-3408	496	26	the	the	DET
ejpam-3408	496	27	radical	radical	ADJ
ejpam-3408	496	28	.	.	PUNCT
ejpam-3408	497	1	in	in	ADP
ejpam-3408	497	2	1973	1973	NUM
ejpam-3408	497	3	,	,	PUNCT
ejpam-3408	497	4	britin	britin	NOUN
ejpam-3408	497	5	[	[	X
ejpam-3408	497	6	15	15	NUM
ejpam-3408	497	7	]	]	PUNCT
ejpam-3408	497	8	restricted	restrict	VERB
ejpam-3408	497	9	his	his	PRON
ejpam-3408	497	10	attention	attention	NOUN
ejpam-3408	497	11	to	to	ADP
ejpam-3408	497	12	the	the	DET
ejpam-3408	497	13	jordan	jordan	PROPN
ejpam-3408	497	14	ring	ring	PROPN
ejpam-3408	497	15	of	of	ADP
ejpam-3408	497	16	symmetric	symmetric	ADJ
ejpam-3408	497	17	elements	element	NOUN
ejpam-3408	497	18	of	of	ADP
ejpam-3408	497	19	an	an	DET
ejpam-3408	497	20	a.	a.	NOUN
ejpam-3408	497	21	razzaque	razzaque	NOUN
ejpam-3408	497	22	et	et	PROPN
ejpam-3408	497	23	al	al	PROPN
ejpam-3408	497	24	.	.	PUNCT
ejpam-3408	497	25	/	/	SYM
ejpam-3408	497	26	eur	eur	PROPN
ejpam-3408	497	27	.	.	PUNCT
ejpam-3408	498	1	j.	j.	PROPN
ejpam-3408	498	2	pure	pure	PROPN
ejpam-3408	498	3	appl	appl	PROPN
ejpam-3408	498	4	.	.	PROPN
ejpam-3408	498	5	math	math	PROPN
ejpam-3408	498	6	,	,	PUNCT
ejpam-3408	498	7	12	12	NUM
ejpam-3408	498	8	(	(	PUNCT
ejpam-3408	498	9	2	2	NUM
ejpam-3408	498	10	)	)	PUNCT
ejpam-3408	498	11	(	(	PUNCT
ejpam-3408	498	12	2019	2019	NUM
ejpam-3408	498	13	)	)	PUNCT
ejpam-3408	498	14	,	,	PUNCT
ejpam-3408	498	15	370	370	NUM
ejpam-3408	498	16	-	-	SYM
ejpam-3408	498	17	408	408	NUM
ejpam-3408	498	18	385	385	NUM
ejpam-3408	498	19	associative	associative	ADJ
ejpam-3408	498	20	ring	ring	NOUN
ejpam-3408	498	21	with	with	ADP
ejpam-3408	498	22	involution	involution	NOUN
ejpam-3408	498	23	.	.	PUNCT
ejpam-3408	499	1	although	although	SCONJ
ejpam-3408	499	2	he	he	PRON
ejpam-3408	499	3	considered	consider	VERB
ejpam-3408	499	4	the	the	DET
ejpam-3408	499	5	problem	problem	NOUN
ejpam-3408	499	6	of	of	ADP
ejpam-3408	499	7	integral	integral	ADJ
ejpam-3408	499	8	domains	domain	NOUN
ejpam-3408	499	9	in	in	ADP
ejpam-3408	499	10	this	this	DET
ejpam-3408	499	11	restricted	restrict	VERB
ejpam-3408	499	12	case	case	NOUN
ejpam-3408	499	13	and	and	CCONJ
ejpam-3408	499	14	his	his	PRON
ejpam-3408	499	15	main	main	ADJ
ejpam-3408	499	16	result	result	NOUN
ejpam-3408	499	17	was	be	AUX
ejpam-3408	499	18	more	more	ADV
ejpam-3408	499	19	general	general	ADJ
ejpam-3408	499	20	.	.	PUNCT
ejpam-3408	500	1	he	he	PRON
ejpam-3408	500	2	used	use	VERB
ejpam-3408	500	3	the	the	DET
ejpam-3408	500	4	approach	approach	NOUN
ejpam-3408	500	5	via	via	ADP
ejpam-3408	500	6	goldie	goldie	PROPN
ejpam-3408	500	7	’s	’s	PART
ejpam-3408	500	8	theorem	theorem	NOUN
ejpam-3408	500	9	[	[	X
ejpam-3408	500	10	113	113	NUM
ejpam-3408	500	11	]	]	PUNCT
ejpam-3408	500	12	for	for	ADP
ejpam-3408	500	13	associative	associative	ADJ
ejpam-3408	500	14	rings	ring	NOUN
ejpam-3408	500	15	i.e.	i.e.	X
ejpam-3408	500	16	;	;	PUNCT
ejpam-3408	500	17	t	t	PROPN
ejpam-3408	500	18	has	have	VERB
ejpam-3408	500	19	a	a	DET
ejpam-3408	500	20	ring	ring	NOUN
ejpam-3408	500	21	of	of	ADP
ejpam-3408	500	22	quotients	quotient	NOUN
ejpam-3408	500	23	which	which	PRON
ejpam-3408	500	24	is	be	AUX
ejpam-3408	500	25	semi	semi	ADJ
ejpam-3408	500	26	-	-	ADJ
ejpam-3408	500	27	simple	simple	ADJ
ejpam-3408	500	28	artinian	artinian	NOUN
ejpam-3408	500	29	if	if	SCONJ
ejpam-3408	500	30	and	and	CCONJ
ejpam-3408	500	31	only	only	ADV
ejpam-3408	500	32	if	if	SCONJ
ejpam-3408	500	33	t	t	PROPN
ejpam-3408	500	34	is	be	AUX
ejpam-3408	500	35	semi	semi	ADJ
ejpam-3408	500	36	-	-	ADJ
ejpam-3408	500	37	prime	prime	ADJ
ejpam-3408	500	38	,	,	PUNCT
ejpam-3408	500	39	contains	contain	VERB
ejpam-3408	500	40	no	no	DET
ejpam-3408	500	41	infinite	infinite	ADJ
ejpam-3408	500	42	direct	direct	ADJ
ejpam-3408	500	43	sum	sum	NOUN
ejpam-3408	500	44	of	of	ADP
ejpam-3408	500	45	left	left	ADJ
ejpam-3408	500	46	ideals	ideal	NOUN
ejpam-3408	500	47	and	and	CCONJ
ejpam-3408	500	48	satisfies	satisfie	NOUN
ejpam-3408	500	49	a.c.c	a.c.c	NOUN
ejpam-3408	500	50	.	.	PUNCT
ejpam-3408	501	1	on	on	ADP
ejpam-3408	501	2	left	leave	VERB
ejpam-3408	501	3	annihilator	annihilator	NOUN
ejpam-3408	501	4	ideals	ideal	NOUN
ejpam-3408	501	5	.	.	PUNCT
ejpam-3408	502	1	he	he	PRON
ejpam-3408	502	2	observed	observe	VERB
ejpam-3408	502	3	that	that	SCONJ
ejpam-3408	502	4	if	if	SCONJ
ejpam-3408	502	5	one	one	NUM
ejpam-3408	502	6	replaced	replace	VERB
ejpam-3408	502	7	semi	semi	ADJ
ejpam-3408	502	8	-	-	ADJ
ejpam-3408	502	9	prime	prime	ADJ
ejpam-3408	502	10	by	by	ADP
ejpam-3408	502	11	prime	prime	NOUN
ejpam-3408	502	12	,	,	PUNCT
ejpam-3408	502	13	then	then	ADV
ejpam-3408	502	14	replaced	replace	VERB
ejpam-3408	502	15	semi	semi	ADJ
ejpam-3408	502	16	-	-	ADJ
ejpam-3408	502	17	simple	simple	ADJ
ejpam-3408	502	18	by	by	ADP
ejpam-3408	502	19	simple	simple	NOUN
ejpam-3408	502	20	.	.	PUNCT
ejpam-3408	503	1	then	then	ADV
ejpam-3408	503	2	it	it	PRON
ejpam-3408	503	3	can	can	AUX
ejpam-3408	503	4	be	be	AUX
ejpam-3408	503	5	shown	show	VERB
ejpam-3408	503	6	that	that	SCONJ
ejpam-3408	503	7	the	the	DET
ejpam-3408	503	8	conditions	condition	NOUN
ejpam-3408	503	9	put	put	VERB
ejpam-3408	503	10	on	on	ADP
ejpam-3408	503	11	left	left	ADJ
ejpam-3408	503	12	ideals	ideal	NOUN
ejpam-3408	503	13	are	be	AUX
ejpam-3408	503	14	implied	imply	VERB
ejpam-3408	503	15	by	by	ADP
ejpam-3408	503	16	a.c.c	a.c.c	NOUN
ejpam-3408	503	17	.	.	PROPN
ejpam-3408	503	18	or	or	CCONJ
ejpam-3408	503	19	d.c.c	d.c.c	NOUN
ejpam-3408	503	20	.	.	PUNCT
ejpam-3408	504	1	on	on	ADP
ejpam-3408	504	2	left	left	ADJ
ejpam-3408	504	3	ideals	ideal	NOUN
ejpam-3408	504	4	,	,	PUNCT
ejpam-3408	504	5	when	when	SCONJ
ejpam-3408	504	6	t	t	PROPN
ejpam-3408	504	7	has	have	VERB
ejpam-3408	504	8	an	an	DET
ejpam-3408	504	9	involution	involution	NOUN
ejpam-3408	504	10	.	.	PUNCT
ejpam-3408	505	1	in	in	ADP
ejpam-3408	505	2	1974	1974	NUM
ejpam-3408	505	3	,	,	PUNCT
ejpam-3408	505	4	britin	britin	NOUN
ejpam-3408	506	1	[	[	X
ejpam-3408	506	2	16	16	NUM
ejpam-3408	506	3	]	]	PUNCT
ejpam-3408	506	4	he	he	PRON
ejpam-3408	506	5	obtained	obtain	VERB
ejpam-3408	506	6	a	a	DET
ejpam-3408	506	7	jordan	jordan	PROPN
ejpam-3408	506	8	ring	ring	NOUN
ejpam-3408	506	9	of	of	ADP
ejpam-3408	506	10	quotients	quotient	NOUN
ejpam-3408	506	11	for	for	ADP
ejpam-3408	506	12	h(r	h(r	NOUN
ejpam-3408	506	13	)	)	PUNCT
ejpam-3408	506	14	by	by	ADP
ejpam-3408	506	15	observing	observe	VERB
ejpam-3408	506	16	that	that	SCONJ
ejpam-3408	506	17	if	if	SCONJ
ejpam-3408	506	18	r	r	NOUN
ejpam-3408	506	19	be	be	VERB
ejpam-3408	506	20	a	a	DET
ejpam-3408	506	21	2	2	NUM
ejpam-3408	506	22	-	-	PUNCT
ejpam-3408	506	23	torsion	torsion	NOUN
ejpam-3408	506	24	free	free	ADJ
ejpam-3408	506	25	semiprime	semiprime	NOUN
ejpam-3408	506	26	associative	associative	NOUN
ejpam-3408	506	27	ring	ring	NOUN
ejpam-3408	506	28	with	with	ADP
ejpam-3408	506	29	involution	involution	NOUN
ejpam-3408	506	30	.	.	PUNCT
ejpam-3408	507	1	conditions	condition	NOUN
ejpam-3408	507	2	are	be	AUX
ejpam-3408	507	3	put	put	VERB
ejpam-3408	507	4	on	on	ADP
ejpam-3408	507	5	the	the	DET
ejpam-3408	507	6	jordan	jordan	PROPN
ejpam-3408	507	7	ring	ring	PROPN
ejpam-3408	507	8	h(r	h(r	PROPN
ejpam-3408	507	9	)	)	PUNCT
ejpam-3408	507	10	of	of	ADP
ejpam-3408	507	11	symmetric	symmetric	ADJ
ejpam-3408	507	12	elements	element	NOUN
ejpam-3408	507	13	which	which	PRON
ejpam-3408	507	14	imply	imply	VERB
ejpam-3408	507	15	the	the	DET
ejpam-3408	507	16	existence	existence	NOUN
ejpam-3408	507	17	of	of	ADP
ejpam-3408	507	18	a	a	DET
ejpam-3408	507	19	ring	ring	NOUN
ejpam-3408	507	20	of	of	ADP
ejpam-3408	507	21	quotients	quotient	NOUN
ejpam-3408	507	22	which	which	PRON
ejpam-3408	507	23	is	be	AUX
ejpam-3408	507	24	a	a	DET
ejpam-3408	507	25	direct	direct	ADJ
ejpam-3408	507	26	sum	sum	NOUN
ejpam-3408	507	27	of	of	ADP
ejpam-3408	507	28	involution	involution	NOUN
ejpam-3408	507	29	simple	simple	ADJ
ejpam-3408	507	30	artinian	artinian	ADJ
ejpam-3408	507	31	rings	ring	NOUN
ejpam-3408	507	32	.	.	PUNCT
ejpam-3408	508	1	montgomery	montgomery	PROPN
ejpam-3408	509	1	[	[	X
ejpam-3408	509	2	184	184	NUM
ejpam-3408	509	3	]	]	PUNCT
ejpam-3408	509	4	in	in	ADP
ejpam-3408	509	5	1974	1974	NUM
ejpam-3408	509	6	studied	study	VERB
ejpam-3408	509	7	the	the	DET
ejpam-3408	509	8	concept	concept	NOUN
ejpam-3408	509	9	of	of	ADP
ejpam-3408	509	10	quotient	quotient	NOUN
ejpam-3408	509	11	rings	ring	NOUN
ejpam-3408	509	12	in	in	ADP
ejpam-3408	509	13	a	a	DET
ejpam-3408	509	14	special	special	ADJ
ejpam-3408	509	15	class	class	NOUN
ejpam-3408	509	16	of	of	ADP
ejpam-3408	509	17	jordan	jordan	PROPN
ejpam-3408	509	18	rings	rings	PROPN
ejpam-3408	509	19	.	.	PUNCT
ejpam-3408	510	1	it	it	PRON
ejpam-3408	510	2	is	be	AUX
ejpam-3408	510	3	worth	worth	ADJ
ejpam-3408	510	4	mentioning	mention	VERB
ejpam-3408	510	5	that	that	SCONJ
ejpam-3408	510	6	this	this	DET
ejpam-3408	510	7	concept	concept	NOUN
ejpam-3408	510	8	was	be	AUX
ejpam-3408	510	9	not	not	PART
ejpam-3408	510	10	developed	develop	VERB
ejpam-3408	510	11	in	in	ADP
ejpam-3408	510	12	jordan	jordan	PROPN
ejpam-3408	510	13	algebra	algebra	PROPN
ejpam-3408	510	14	before	before	ADV
ejpam-3408	510	15	.	.	PUNCT
ejpam-3408	511	1	in	in	ADP
ejpam-3408	511	2	his	his	PRON
ejpam-3408	511	3	work	work	NOUN
ejpam-3408	511	4	,	,	PUNCT
ejpam-3408	511	5	he	he	PRON
ejpam-3408	511	6	showed	show	VERB
ejpam-3408	511	7	that	that	SCONJ
ejpam-3408	511	8	if	if	SCONJ
ejpam-3408	511	9	r	r	NOUN
ejpam-3408	511	10	is	be	AUX
ejpam-3408	511	11	an	an	DET
ejpam-3408	511	12	associative	associative	ADJ
ejpam-3408	511	13	ring	ring	NOUN
ejpam-3408	511	14	with	with	ADP
ejpam-3408	511	15	involution	involution	NOUN
ejpam-3408	511	16	and	and	CCONJ
ejpam-3408	511	17	j	j	PROPN
ejpam-3408	511	18	is	be	AUX
ejpam-3408	511	19	a	a	DET
ejpam-3408	511	20	jordan	jordan	PROPN
ejpam-3408	511	21	sub	sub	NOUN
ejpam-3408	511	22	-	-	NOUN
ejpam-3408	511	23	ring	ring	NOUN
ejpam-3408	511	24	of	of	ADP
ejpam-3408	511	25	the	the	DET
ejpam-3408	511	26	symmetric	symmetric	ADJ
ejpam-3408	511	27	elements	element	NOUN
ejpam-3408	511	28	containing	contain	VERB
ejpam-3408	511	29	the	the	DET
ejpam-3408	511	30	norms	norm	NOUN
ejpam-3408	511	31	and	and	CCONJ
ejpam-3408	511	32	traces	trace	NOUN
ejpam-3408	511	33	of	of	ADP
ejpam-3408	511	34	r	r	NOUN
ejpam-3408	511	35	,	,	PUNCT
ejpam-3408	511	36	then	then	ADV
ejpam-3408	511	37	if	if	SCONJ
ejpam-3408	511	38	j	j	PROPN
ejpam-3408	511	39	is	be	AUX
ejpam-3408	511	40	a	a	DET
ejpam-3408	511	41	jordan	jordan	PROPN
ejpam-3408	511	42	domain	domain	NOUN
ejpam-3408	511	43	with	with	ADP
ejpam-3408	511	44	the	the	DET
ejpam-3408	511	45	common	common	ADJ
ejpam-3408	511	46	multiple	multiple	ADJ
ejpam-3408	511	47	property	property	NOUN
ejpam-3408	511	48	,	,	PUNCT
ejpam-3408	511	49	j	j	PROPN
ejpam-3408	511	50	has	have	VERB
ejpam-3408	511	51	a	a	DET
ejpam-3408	511	52	ring	ring	NOUN
ejpam-3408	511	53	of	of	ADP
ejpam-3408	511	54	quotients	quotient	NOUN
ejpam-3408	511	55	which	which	PRON
ejpam-3408	511	56	is	be	AUX
ejpam-3408	511	57	jordan	jordan	PROPN
ejpam-3408	511	58	division	division	PROPN
ejpam-3408	511	59	algebra	algebra	PROPN
ejpam-3408	511	60	.	.	PUNCT
ejpam-3408	512	1	also	also	ADV
ejpam-3408	512	2	,	,	PUNCT
ejpam-3408	512	3	ng	ng	PROPN
ejpam-3408	512	4	seong	seong	PROPN
ejpam-3408	512	5	-	-	PUNCT
ejpam-3408	512	6	nam	nam	PROPN
ejpam-3408	513	1	[	[	X
ejpam-3408	513	2	211	211	NUM
ejpam-3408	513	3	]	]	PUNCT
ejpam-3408	513	4	in	in	ADP
ejpam-3408	513	5	1974	1974	NUM
ejpam-3408	513	6	generalized	generalize	VERB
ejpam-3408	513	7	the	the	DET
ejpam-3408	513	8	result	result	NOUN
ejpam-3408	513	9	of	of	ADP
ejpam-3408	513	10	osborn	osborn	PROPN
ejpam-3408	514	1	[	[	X
ejpam-3408	514	2	192	192	NUM
ejpam-3408	514	3	]	]	PUNCT
ejpam-3408	514	4	which	which	PRON
ejpam-3408	514	5	was	be	AUX
ejpam-3408	514	6	basically	basically	ADV
ejpam-3408	514	7	proved	prove	VERB
ejpam-3408	514	8	for	for	ADP
ejpam-3408	514	9	associative	associative	ADJ
ejpam-3408	514	10	rings	ring	NOUN
ejpam-3408	514	11	with	with	ADP
ejpam-3408	514	12	involution	involution	NOUN
ejpam-3408	514	13	.	.	PUNCT
ejpam-3408	515	1	but	but	CCONJ
ejpam-3408	515	2	seong	seong	PROPN
ejpam-3408	515	3	-	-	PUNCT
ejpam-3408	515	4	nam	nam	PROPN
ejpam-3408	515	5	generalized	generalize	VERB
ejpam-3408	515	6	the	the	DET
ejpam-3408	515	7	result	result	NOUN
ejpam-3408	515	8	for	for	ADP
ejpam-3408	515	9	non	non	ADJ
ejpam-3408	515	10	-	-	ADJ
ejpam-3408	515	11	associative	associative	ADJ
ejpam-3408	515	12	jordan	jordan	PROPN
ejpam-3408	515	13	rings	ring	NOUN
ejpam-3408	515	14	with	with	ADP
ejpam-3408	515	15	involution	involution	NOUN
ejpam-3408	515	16	.	.	PUNCT
ejpam-3408	516	1	in	in	ADP
ejpam-3408	516	2	addition	addition	NOUN
ejpam-3408	516	3	,	,	PUNCT
ejpam-3408	516	4	loustao	loustao	PROPN
ejpam-3408	516	5	[	[	X
ejpam-3408	516	6	161	161	NUM
ejpam-3408	516	7	]	]	PUNCT
ejpam-3408	516	8	in	in	ADP
ejpam-3408	516	9	1974	1974	NUM
ejpam-3408	516	10	established	establish	VERB
ejpam-3408	516	11	some	some	DET
ejpam-3408	516	12	results	result	NOUN
ejpam-3408	516	13	regarding	regard	VERB
ejpam-3408	516	14	radical	radical	ADJ
ejpam-3408	516	15	extensions	extension	NOUN
ejpam-3408	516	16	of	of	ADP
ejpam-3408	516	17	jordan	jordan	PROPN
ejpam-3408	516	18	rings	rings	PROPN
ejpam-3408	516	19	.	.	PUNCT
ejpam-3408	517	1	along	along	ADP
ejpam-3408	517	2	the	the	DET
ejpam-3408	517	3	way	way	NOUN
ejpam-3408	517	4	,	,	PUNCT
ejpam-3408	517	5	he	he	PRON
ejpam-3408	517	6	proved	prove	VERB
ejpam-3408	517	7	analogies	analogy	NOUN
ejpam-3408	517	8	for	for	ADP
ejpam-3408	517	9	jordan	jordan	PROPN
ejpam-3408	517	10	rings	ring	NOUN
ejpam-3408	517	11	of	of	ADP
ejpam-3408	517	12	commutativity	commutativity	NOUN
ejpam-3408	517	13	results	result	NOUN
ejpam-3408	517	14	for	for	ADP
ejpam-3408	517	15	associative	associative	ADJ
ejpam-3408	517	16	rings	ring	NOUN
ejpam-3408	517	17	found	find	VERB
ejpam-3408	517	18	in	in	ADP
ejpam-3408	517	19	[	[	X
ejpam-3408	517	20	90	90	NUM
ejpam-3408	517	21	]	]	PUNCT
ejpam-3408	517	22	.	.	PUNCT
ejpam-3408	518	1	further	far	ADV
ejpam-3408	518	2	,	,	PUNCT
ejpam-3408	518	3	he	he	PRON
ejpam-3408	518	4	also	also	ADV
ejpam-3408	518	5	extended	extend	VERB
ejpam-3408	518	6	commutativity	commutativity	NOUN
ejpam-3408	518	7	results	result	NOUN
ejpam-3408	518	8	from	from	ADP
ejpam-3408	518	9	[	[	X
ejpam-3408	518	10	49	49	NUM
ejpam-3408	518	11	,	,	PUNCT
ejpam-3408	518	12	127	127	NUM
ejpam-3408	518	13	]	]	PUNCT
ejpam-3408	518	14	to	to	PART
ejpam-3408	518	15	associative	associative	ADJ
ejpam-3408	518	16	division	division	NOUN
ejpam-3408	518	17	algebras	algebra	NOUN
ejpam-3408	518	18	with	with	ADP
ejpam-3408	518	19	involution	involution	NOUN
ejpam-3408	518	20	whose	whose	DET
ejpam-3408	518	21	symmetric	symmetric	ADJ
ejpam-3408	518	22	elements	element	NOUN
ejpam-3408	518	23	are	be	AUX
ejpam-3408	518	24	a	a	DET
ejpam-3408	518	25	radical	radical	ADJ
ejpam-3408	518	26	extension	extension	NOUN
ejpam-3408	518	27	of	of	ADP
ejpam-3408	518	28	a	a	DET
ejpam-3408	518	29	commutative	commutative	ADJ
ejpam-3408	518	30	sub	sub	NOUN
ejpam-3408	518	31	-	-	NOUN
ejpam-3408	518	32	algebra	algebra	NOUN
ejpam-3408	518	33	.	.	PUNCT
ejpam-3408	519	1	in	in	ADP
ejpam-3408	519	2	1979	1979	NUM
ejpam-3408	519	3	,	,	PUNCT
ejpam-3408	519	4	petersson	petersson	NOUN
ejpam-3408	519	5	[	[	X
ejpam-3408	519	6	197	197	NUM
ejpam-3408	519	7	]	]	PUNCT
ejpam-3408	519	8	completed	complete	VERB
ejpam-3408	519	9	the	the	DET
ejpam-3408	519	10	solution	solution	NOUN
ejpam-3408	519	11	of	of	ADP
ejpam-3408	519	12	the	the	DET
ejpam-3408	519	13	classification	classification	NOUN
ejpam-3408	519	14	problem	problem	NOUN
ejpam-3408	519	15	for	for	ADP
ejpam-3408	519	16	locally	locally	ADV
ejpam-3408	519	17	compact	compact	ADJ
ejpam-3408	519	18	jordan	jordan	PROPN
ejpam-3408	519	19	division	division	PROPN
ejpam-3408	519	20	rings	ring	NOUN
ejpam-3408	519	21	initiated	initiate	VERB
ejpam-3408	519	22	in	in	ADP
ejpam-3408	519	23	[	[	X
ejpam-3408	519	24	196	196	NUM
ejpam-3408	519	25	]	]	PUNCT
ejpam-3408	519	26	.	.	PUNCT
ejpam-3408	520	1	he	he	PRON
ejpam-3408	520	2	also	also	ADV
ejpam-3408	520	3	examined	examine	VERB
ejpam-3408	520	4	that	that	SCONJ
ejpam-3408	520	5	a	a	DET
ejpam-3408	520	6	locally	locally	ADV
ejpam-3408	520	7	compact	compact	ADJ
ejpam-3408	520	8	non	non	ADJ
ejpam-3408	520	9	-	-	ADJ
ejpam-3408	520	10	discrete	discrete	ADJ
ejpam-3408	520	11	jordan	jordan	PROPN
ejpam-3408	520	12	division	division	NOUN
ejpam-3408	520	13	ring	ring	NOUN
ejpam-3408	520	14	and	and	CCONJ
ejpam-3408	520	15	a	a	DET
ejpam-3408	520	16	finite	finite	ADJ
ejpam-3408	520	17	dimensional	dimensional	ADJ
ejpam-3408	520	18	jordan	jordan	PROPN
ejpam-3408	520	19	division	division	NOUN
ejpam-3408	520	20	algebra	algebra	NOUN
ejpam-3408	520	21	over	over	ADP
ejpam-3408	520	22	that	that	DET
ejpam-3408	520	23	field	field	NOUN
ejpam-3408	520	24	.	.	PUNCT
ejpam-3408	521	1	he	he	PRON
ejpam-3408	521	2	also	also	ADV
ejpam-3408	521	3	considered	consider	VERB
ejpam-3408	521	4	the	the	DET
ejpam-3408	521	5	centroid	centroid	NOUN
ejpam-3408	521	6	of	of	ADP
ejpam-3408	521	7	a	a	DET
ejpam-3408	521	8	locally	locally	ADV
ejpam-3408	521	9	compact	compact	ADJ
ejpam-3408	521	10	non	non	ADJ
ejpam-3408	521	11	-	-	ADJ
ejpam-3408	521	12	discrete	discrete	ADJ
ejpam-3408	521	13	field	field	NOUN
ejpam-3408	521	14	.	.	PUNCT
ejpam-3408	522	1	moreover	moreover	ADV
ejpam-3408	522	2	,	,	PUNCT
ejpam-3408	522	3	in	in	ADP
ejpam-3408	522	4	1986	1986	NUM
ejpam-3408	522	5	,	,	PUNCT
ejpam-3408	522	6	slinko	slinko	ADJ
ejpam-3408	522	7	in	in	ADP
ejpam-3408	522	8	his	his	PRON
ejpam-3408	522	9	article	article	NOUN
ejpam-3408	522	10	[	[	X
ejpam-3408	522	11	235	235	NUM
ejpam-3408	522	12	]	]	PUNCT
ejpam-3408	522	13	described	describe	VERB
ejpam-3408	522	14	the	the	DET
ejpam-3408	522	15	structure	structure	NOUN
ejpam-3408	522	16	of	of	ADP
ejpam-3408	522	17	a	a	DET
ejpam-3408	522	18	connected	connected	ADJ
ejpam-3408	522	19	component	component	NOUN
ejpam-3408	522	20	of	of	ADP
ejpam-3408	522	21	a	a	DET
ejpam-3408	522	22	locally	locally	ADV
ejpam-3408	522	23	compact	compact	ADJ
ejpam-3408	522	24	alternative	alternative	NOUN
ejpam-3408	522	25	or	or	CCONJ
ejpam-3408	522	26	jordan	jordan	PROPN
ejpam-3408	522	27	ring	ring	NOUN
ejpam-3408	522	28	.	.	PUNCT
ejpam-3408	523	1	it	it	PRON
ejpam-3408	523	2	was	be	AUX
ejpam-3408	523	3	shown	show	VERB
ejpam-3408	523	4	that	that	SCONJ
ejpam-3408	523	5	each	each	DET
ejpam-3408	523	6	locally	locally	ADV
ejpam-3408	523	7	compact	compact	ADJ
ejpam-3408	523	8	semiprime	semiprime	NOUN
ejpam-3408	523	9	alternative	alternative	NOUN
ejpam-3408	523	10	or	or	CCONJ
ejpam-3408	523	11	jordan	jordan	PROPN
ejpam-3408	523	12	ring	ring	NOUN
ejpam-3408	523	13	is	be	AUX
ejpam-3408	523	14	a	a	DET
ejpam-3408	523	15	topological	topological	ADJ
ejpam-3408	523	16	direct	direct	ADJ
ejpam-3408	523	17	sum	sum	NOUN
ejpam-3408	523	18	of	of	ADP
ejpam-3408	523	19	its	its	PRON
ejpam-3408	523	20	zero	zero	NUM
ejpam-3408	523	21	connected	connected	ADJ
ejpam-3408	523	22	component	component	NOUN
ejpam-3408	523	23	,	,	PUNCT
ejpam-3408	523	24	which	which	PRON
ejpam-3408	523	25	is	be	AUX
ejpam-3408	523	26	a	a	DET
ejpam-3408	523	27	semisimple	semisimple	ADJ
ejpam-3408	523	28	finite	finite	ADJ
ejpam-3408	523	29	-	-	ADJ
ejpam-3408	523	30	dimensional	dimensional	ADJ
ejpam-3408	523	31	algebra	algebra	NOUN
ejpam-3408	523	32	over	over	ADP
ejpam-3408	523	33	r	r	NOUN
ejpam-3408	523	34	and	and	CCONJ
ejpam-3408	523	35	a	a	DET
ejpam-3408	523	36	totally	totally	ADV
ejpam-3408	523	37	disconnected	disconnected	ADJ
ejpam-3408	523	38	locally	locally	ADV
ejpam-3408	523	39	compact	compact	ADJ
ejpam-3408	523	40	semiprime	semiprime	NOUN
ejpam-3408	523	41	ring	ring	NOUN
ejpam-3408	523	42	.	.	PUNCT
ejpam-3408	524	1	this	this	DET
ejpam-3408	524	2	result	result	NOUN
ejpam-3408	524	3	can	can	AUX
ejpam-3408	524	4	be	be	AUX
ejpam-3408	524	5	viewed	view	VERB
ejpam-3408	524	6	as	as	ADP
ejpam-3408	524	7	a	a	DET
ejpam-3408	524	8	far	far	ADV
ejpam-3408	524	9	reaching	reach	VERB
ejpam-3408	524	10	generalization	generalization	NOUN
ejpam-3408	524	11	of	of	ADP
ejpam-3408	524	12	the	the	DET
ejpam-3408	524	13	classical	classical	ADJ
ejpam-3408	524	14	pontryagin	pontryagin	NOUN
ejpam-3408	524	15	theorem	theorem	VERB
ejpam-3408	524	16	on	on	ADP
ejpam-3408	524	17	connected	connected	ADJ
ejpam-3408	524	18	associative	associative	ADJ
ejpam-3408	524	19	locally	locally	ADV
ejpam-3408	524	20	compact	compact	ADJ
ejpam-3408	524	21	skew	skew	NOUN
ejpam-3408	524	22	fields	field	NOUN
ejpam-3408	524	23	.	.	PUNCT
ejpam-3408	525	1	furthermore	furthermore	ADV
ejpam-3408	525	2	,	,	PUNCT
ejpam-3408	525	3	it	it	PRON
ejpam-3408	525	4	was	be	AUX
ejpam-3408	525	5	also	also	ADV
ejpam-3408	525	6	proved	prove	VERB
ejpam-3408	525	7	that	that	SCONJ
ejpam-3408	525	8	a	a	DET
ejpam-3408	525	9	connected	connected	ADJ
ejpam-3408	525	10	locally	locally	ADV
ejpam-3408	525	11	compact	compact	ADJ
ejpam-3408	525	12	alternative	alternative	NOUN
ejpam-3408	525	13	or	or	CCONJ
ejpam-3408	525	14	jordan	jordan	PROPN
ejpam-3408	525	15	ring	ring	PROPN
ejpam-3408	525	16	having	have	VERB
ejpam-3408	525	17	no	no	DET
ejpam-3408	525	18	nonzero	nonzero	NOUN
ejpam-3408	525	19	idempotents	idempotent	NOUN
ejpam-3408	525	20	is	be	AUX
ejpam-3408	525	21	nilpotent	nilpotent	ADJ
ejpam-3408	525	22	and	and	CCONJ
ejpam-3408	525	23	also	also	ADV
ejpam-3408	525	24	established	establish	VERB
ejpam-3408	525	25	that	that	SCONJ
ejpam-3408	525	26	the	the	DET
ejpam-3408	525	27	quasi	quasi	ADJ
ejpam-3408	525	28	-	-	ADJ
ejpam-3408	525	29	regular	regular	ADJ
ejpam-3408	525	30	radical	radical	NOUN
ejpam-3408	525	31	of	of	ADP
ejpam-3408	525	32	an	an	DET
ejpam-3408	525	33	alternative	alternative	NOUN
ejpam-3408	525	34	or	or	CCONJ
ejpam-3408	525	35	jordan	jordan	PROPN
ejpam-3408	525	36	locally	locally	ADV
ejpam-3408	525	37	compact	compact	ADJ
ejpam-3408	525	38	ring	ring	NOUN
ejpam-3408	525	39	is	be	AUX
ejpam-3408	525	40	closed	close	VERB
ejpam-3408	525	41	.	.	PUNCT
ejpam-3408	526	1	in	in	ADP
ejpam-3408	526	2	1986	1986	NUM
ejpam-3408	526	3	,	,	PUNCT
ejpam-3408	526	4	gonzalez	gonzalez	PROPN
ejpam-3408	526	5	et	et	PROPN
ejpam-3408	526	6	al	al	PROPN
ejpam-3408	526	7	.	.	PROPN
ejpam-3408	526	8	,	,	PUNCT
ejpam-3408	527	1	[	[	X
ejpam-3408	527	2	56	56	NUM
ejpam-3408	527	3	]	]	PUNCT
ejpam-3408	527	4	introduced	introduce	VERB
ejpam-3408	527	5	the	the	DET
ejpam-3408	527	6	order	order	NOUN
ejpam-3408	527	7	relation	relation	NOUN
ejpam-3408	527	8	in	in	ADP
ejpam-3408	527	9	jordan	jordan	PROPN
ejpam-3408	527	10	rings	rings	PROPN
ejpam-3408	527	11	,	,	PUNCT
ejpam-3408	527	12	he	he	PRON
ejpam-3408	527	13	proved	prove	VERB
ejpam-3408	527	14	that	that	SCONJ
ejpam-3408	527	15	the	the	DET
ejpam-3408	527	16	relation	relation	NOUN
ejpam-3408	527	17	≤	≤	NUM
ejpam-3408	527	18	defined	define	VERB
ejpam-3408	527	19	by	by	ADP
ejpam-3408	527	20	x	x	PROPN
ejpam-3408	527	21	≤	≤	NUM
ejpam-3408	527	22	y	y	NOUN
ejpam-3408	528	1	if	if	SCONJ
ejpam-3408	529	1	and	and	CCONJ
ejpam-3408	529	2	only	only	ADV
ejpam-3408	529	3	if	if	SCONJ
ejpam-3408	529	4	xy	xy	PROPN
ejpam-3408	529	5	=	=	SYM
ejpam-3408	529	6	x2	x2	PROPN
ejpam-3408	529	7	,	,	PUNCT
ejpam-3408	529	8	x2y	x2y	X
ejpam-3408	529	9	=	=	PUNCT
ejpam-3408	529	10	xy2	xy2	PROPN
ejpam-3408	530	1	=	=	SYM
ejpam-3408	530	2	x3	x3	PROPN
ejpam-3408	530	3	is	be	AUX
ejpam-3408	530	4	an	an	DET
ejpam-3408	530	5	order	order	NOUN
ejpam-3408	530	6	relation	relation	NOUN
ejpam-3408	530	7	for	for	ADP
ejpam-3408	530	8	a	a	DET
ejpam-3408	530	9	class	class	NOUN
ejpam-3408	530	10	of	of	ADP
ejpam-3408	530	11	jordan	jordan	PROPN
ejpam-3408	530	12	rings	rings	PROPN
ejpam-3408	530	13	and	and	CCONJ
ejpam-3408	530	14	proved	prove	VERB
ejpam-3408	530	15	that	that	SCONJ
ejpam-3408	530	16	a	a	DET
ejpam-3408	530	17	jordan	jordan	PROPN
ejpam-3408	530	18	ring	ring	PROPN
ejpam-3408	530	19	r	r	NOUN
ejpam-3408	530	20	is	be	AUX
ejpam-3408	530	21	isomorphic	isomorphic	ADJ
ejpam-3408	530	22	to	to	ADP
ejpam-3408	530	23	a	a	DET
ejpam-3408	530	24	direct	direct	ADJ
ejpam-3408	530	25	product	product	NOUN
ejpam-3408	530	26	of	of	ADP
ejpam-3408	530	27	jordan	jordan	PROPN
ejpam-3408	530	28	division	division	PROPN
ejpam-3408	530	29	rings	ring	NOUN
ejpam-3408	530	30	if	if	SCONJ
ejpam-3408	530	31	and	and	CCONJ
ejpam-3408	530	32	only	only	ADV
ejpam-3408	530	33	if	if	SCONJ
ejpam-3408	530	34	≤	≤	NUM
ejpam-3408	530	35	is	be	AUX
ejpam-3408	530	36	a	a	DET
ejpam-3408	530	37	partial	partial	ADJ
ejpam-3408	530	38	order	order	NOUN
ejpam-3408	530	39	on	on	ADP
ejpam-3408	530	40	r	r	NOUN
ejpam-3408	530	41	such	such	ADJ
ejpam-3408	530	42	that	that	SCONJ
ejpam-3408	530	43	r	r	NOUN
ejpam-3408	530	44	is	be	AUX
ejpam-3408	530	45	hyperatomic	hyperatomic	ADJ
ejpam-3408	530	46	and	and	CCONJ
ejpam-3408	530	47	orthogonally	orthogonally	ADV
ejpam-3408	530	48	complete	complete	ADJ
ejpam-3408	530	49	.	.	PUNCT
ejpam-3408	531	1	later	later	ADV
ejpam-3408	531	2	,	,	PUNCT
ejpam-3408	531	3	in	in	ADP
ejpam-3408	531	4	1987	1987	NUM
ejpam-3408	531	5	,	,	PUNCT
ejpam-3408	531	6	garijo	garijo	NOUN
ejpam-3408	531	7	[	[	X
ejpam-3408	531	8	54	54	NUM
ejpam-3408	531	9	]	]	PUNCT
ejpam-3408	531	10	discussed	discuss	VERB
ejpam-3408	531	11	the	the	DET
ejpam-3408	531	12	jordan	jordan	PROPN
ejpam-3408	531	13	regular	regular	ADJ
ejpam-3408	531	14	ring	ring	NOUN
ejpam-3408	531	15	associated	associate	VERB
ejpam-3408	531	16	with	with	ADP
ejpam-3408	531	17	finite	finite	PROPN
ejpam-3408	531	18	jbwalgebra	jbwalgebra	PROPN
ejpam-3408	531	19	.	.	PUNCT
ejpam-3408	532	1	in	in	ADP
ejpam-3408	532	2	this	this	DET
ejpam-3408	532	3	paper	paper	NOUN
ejpam-3408	532	4	,	,	PUNCT
ejpam-3408	532	5	he	he	PRON
ejpam-3408	532	6	showed	show	VERB
ejpam-3408	532	7	that	that	SCONJ
ejpam-3408	532	8	every	every	DET
ejpam-3408	532	9	finite	finite	NOUN
ejpam-3408	532	10	jbw	jbw	NOUN
ejpam-3408	532	11	-	-	PUNCT
ejpam-3408	532	12	algebra	algebra	NOUN
ejpam-3408	532	13	a	a	PRON
ejpam-3408	532	14	is	be	AUX
ejpam-3408	532	15	contained	contain	VERB
ejpam-3408	532	16	in	in	ADP
ejpam-3408	532	17	a	a	DET
ejpam-3408	532	18	von	von	PROPN
ejpam-3408	532	19	neumann	neumann	PROPN
ejpam-3408	532	20	regular	regular	PROPN
ejpam-3408	532	21	jordan	jordan	PROPN
ejpam-3408	532	22	ring	ring	NOUN
ejpam-3408	532	23	a	a	DET
ejpam-3408	532	24	such	such	ADJ
ejpam-3408	532	25	that	that	SCONJ
ejpam-3408	532	26	a	a	PRON
ejpam-3408	532	27	has	have	VERB
ejpam-3408	532	28	no	no	DET
ejpam-3408	532	29	new	new	ADJ
ejpam-3408	532	30	idempotents	idempotent	NOUN
ejpam-3408	532	31	.	.	PUNCT
ejpam-3408	533	1	moreover	moreover	ADV
ejpam-3408	533	2	,	,	PUNCT
ejpam-3408	533	3	he	he	PRON
ejpam-3408	533	4	proved	prove	VERB
ejpam-3408	533	5	that	that	SCONJ
ejpam-3408	533	6	every	every	DET
ejpam-3408	533	7	finite	finite	NOUN
ejpam-3408	533	8	jbwalgebra	jbwalgebra	PROPN
ejpam-3408	533	9	has	have	VERB
ejpam-3408	533	10	the	the	DET
ejpam-3408	533	11	common	common	ADJ
ejpam-3408	533	12	multiple	multiple	ADJ
ejpam-3408	533	13	property	property	NOUN
ejpam-3408	533	14	(	(	PUNCT
ejpam-3408	533	15	non	non	ADJ
ejpam-3408	533	16	-	-	ADJ
ejpam-3408	533	17	associative	associative	ADJ
ejpam-3408	533	18	analogous	analogous	ADJ
ejpam-3408	533	19	to	to	ADP
ejpam-3408	533	20	the	the	DET
ejpam-3408	533	21	ore	ore	NOUN
ejpam-3408	533	22	condition	condition	NOUN
ejpam-3408	533	23	)	)	PUNCT
ejpam-3408	533	24	and	and	CCONJ
ejpam-3408	533	25	that	that	DET
ejpam-3408	533	26	a.	a.	NOUN
ejpam-3408	533	27	razzaque	razzaque	NOUN
ejpam-3408	533	28	et	et	PROPN
ejpam-3408	533	29	al	al	PROPN
ejpam-3408	533	30	.	.	PUNCT
ejpam-3408	533	31	/	/	SYM
ejpam-3408	533	32	eur	eur	PROPN
ejpam-3408	533	33	.	.	PUNCT
ejpam-3408	534	1	j.	j.	PROPN
ejpam-3408	534	2	pure	pure	PROPN
ejpam-3408	534	3	appl	appl	PROPN
ejpam-3408	534	4	.	.	PROPN
ejpam-3408	534	5	math	math	PROPN
ejpam-3408	534	6	,	,	PUNCT
ejpam-3408	534	7	12	12	NUM
ejpam-3408	534	8	(	(	PUNCT
ejpam-3408	534	9	2	2	NUM
ejpam-3408	534	10	)	)	PUNCT
ejpam-3408	534	11	(	(	PUNCT
ejpam-3408	534	12	2019	2019	NUM
ejpam-3408	534	13	)	)	PUNCT
ejpam-3408	534	14	,	,	PUNCT
ejpam-3408	534	15	370	370	NUM
ejpam-3408	534	16	-	-	SYM
ejpam-3408	534	17	408	408	NUM
ejpam-3408	534	18	386	386	NUM
ejpam-3408	534	19	a	a	PRON
ejpam-3408	534	20	is	be	AUX
ejpam-3408	534	21	the	the	DET
ejpam-3408	534	22	(	(	PUNCT
ejpam-3408	534	23	unique	unique	ADJ
ejpam-3408	534	24	)	)	PUNCT
ejpam-3408	534	25	total	total	ADJ
ejpam-3408	534	26	ring	ring	NOUN
ejpam-3408	534	27	of	of	ADP
ejpam-3408	534	28	quotients	quotient	NOUN
ejpam-3408	534	29	of	of	ADP
ejpam-3408	534	30	a.	a.	PROPN
ejpam-3408	534	31	hentzel	hentzel	NOUN
ejpam-3408	534	32	and	and	CCONJ
ejpam-3408	534	33	peresi	peresi	NOUN
ejpam-3408	534	34	[	[	X
ejpam-3408	534	35	84	84	NUM
ejpam-3408	534	36	]	]	PUNCT
ejpam-3408	534	37	in	in	ADP
ejpam-3408	534	38	1988	1988	NUM
ejpam-3408	534	39	introduced	introduce	VERB
ejpam-3408	534	40	almost	almost	ADV
ejpam-3408	534	41	jordan	jordan	PROPN
ejpam-3408	534	42	rings	rings	PROPN
ejpam-3408	534	43	.	.	PUNCT
ejpam-3408	535	1	he	he	PRON
ejpam-3408	535	2	proved	prove	VERB
ejpam-3408	535	3	that	that	SCONJ
ejpam-3408	535	4	any	any	DET
ejpam-3408	535	5	jordan	jordan	PROPN
ejpam-3408	535	6	ring	ring	NOUN
ejpam-3408	535	7	with	with	ADP
ejpam-3408	535	8	characteristic	characteristic	ADJ
ejpam-3408	535	9	6=	6=	NUM
ejpam-3408	535	10	2	2	NUM
ejpam-3408	535	11	,	,	PUNCT
ejpam-3408	535	12	3	3	NUM
ejpam-3408	535	13	satisfies	satisfy	VERB
ejpam-3408	535	14	the	the	DET
ejpam-3408	535	15	identity	identity	NOUN
ejpam-3408	535	16	:	:	PUNCT
ejpam-3408	535	17	2((ax)x)x	2((ax)x)x	NUM
ejpam-3408	535	18	+	+	CCONJ
ejpam-3408	535	19	a((xx)x	a((xx)x	PROPN
ejpam-3408	535	20	)	)	PUNCT
ejpam-3408	535	21	=	=	SYM
ejpam-3408	535	22	3(a(xx))x	3(a(xx))x	NUM
ejpam-3408	535	23	along	along	ADP
ejpam-3408	535	24	with	with	ADP
ejpam-3408	535	25	commutativity	commutativity	NOUN
ejpam-3408	535	26	implies	imply	VERB
ejpam-3408	535	27	the	the	DET
ejpam-3408	535	28	jordan	jordan	PROPN
ejpam-3408	535	29	identity	identity	NOUN
ejpam-3408	535	30	in	in	ADP
ejpam-3408	535	31	any	any	DET
ejpam-3408	535	32	semiprime	semiprime	NOUN
ejpam-3408	535	33	ring	ring	NOUN
ejpam-3408	535	34	.	.	PUNCT
ejpam-3408	536	1	in	in	ADP
ejpam-3408	536	2	1988	1988	NUM
ejpam-3408	536	3	,	,	PUNCT
ejpam-3408	536	4	slinko	slinko	VERB
ejpam-3408	537	1	[	[	X
ejpam-3408	537	2	236	236	NUM
ejpam-3408	537	3	]	]	PUNCT
ejpam-3408	537	4	generalized	generalize	VERB
ejpam-3408	537	5	the	the	DET
ejpam-3408	537	6	result	result	NOUN
ejpam-3408	537	7	of	of	ADP
ejpam-3408	537	8	petersson	petersson	NOUN
ejpam-3408	537	9	[	[	X
ejpam-3408	537	10	197	197	NUM
ejpam-3408	537	11	]	]	PUNCT
ejpam-3408	537	12	that	that	SCONJ
ejpam-3408	537	13	any	any	DET
ejpam-3408	537	14	continuous	continuous	ADJ
ejpam-3408	537	15	jordan	jordan	PROPN
ejpam-3408	537	16	division	division	NOUN
ejpam-3408	537	17	ring	ring	NOUN
ejpam-3408	537	18	is	be	AUX
ejpam-3408	537	19	finite	finite	ADJ
ejpam-3408	537	20	-	-	ADJ
ejpam-3408	537	21	dimensional	dimensional	ADJ
ejpam-3408	537	22	over	over	ADP
ejpam-3408	537	23	its	its	PRON
ejpam-3408	537	24	centroid	centroid	NOUN
ejpam-3408	537	25	.	.	PUNCT
ejpam-3408	538	1	secondly	secondly	ADV
ejpam-3408	538	2	,	,	PUNCT
ejpam-3408	538	3	he	he	PRON
ejpam-3408	538	4	proved	prove	VERB
ejpam-3408	538	5	the	the	DET
ejpam-3408	538	6	condition	condition	NOUN
ejpam-3408	538	7	of	of	ADP
ejpam-3408	538	8	the	the	DET
ejpam-3408	538	9	solvability	solvability	NOUN
ejpam-3408	538	10	of	of	ADP
ejpam-3408	538	11	the	the	DET
ejpam-3408	538	12	equations	equation	NOUN
ejpam-3408	538	13	xua	xua	VERB
ejpam-3408	539	1	=	=	SYM
ejpam-3408	539	2	b	b	NOUN
ejpam-3408	539	3	,	,	PUNCT
ejpam-3408	539	4	for	for	ADP
ejpam-3408	539	5	a	a	DET
ejpam-3408	539	6	6=	6=	NUM
ejpam-3408	539	7	0	0	NUM
ejpam-3408	539	8	.	.	PUNCT
ejpam-3408	540	1	these	these	DET
ejpam-3408	540	2	conditions	condition	NOUN
ejpam-3408	540	3	were	be	AUX
ejpam-3408	540	4	actually	actually	ADV
ejpam-3408	540	5	required	require	VERB
ejpam-3408	540	6	for	for	ADP
ejpam-3408	540	7	the	the	DET
ejpam-3408	540	8	definition	definition	NOUN
ejpam-3408	540	9	of	of	ADP
ejpam-3408	540	10	jordan	jordan	PROPN
ejpam-3408	540	11	division	division	PROPN
ejpam-3408	540	12	ring	ring	NOUN
ejpam-3408	540	13	.	.	PUNCT
ejpam-3408	541	1	in	in	ADP
ejpam-3408	541	2	1993	1993	NUM
ejpam-3408	541	3	,	,	PUNCT
ejpam-3408	541	4	chuvakov	chuvakov	NOUN
ejpam-3408	542	1	[	[	X
ejpam-3408	542	2	30	30	NUM
ejpam-3408	542	3	]	]	PUNCT
ejpam-3408	542	4	proved	prove	VERB
ejpam-3408	542	5	that	that	SCONJ
ejpam-3408	542	6	in	in	ADP
ejpam-3408	542	7	the	the	DET
ejpam-3408	542	8	class	class	NOUN
ejpam-3408	542	9	non	non	ADJ
ejpam-3408	542	10	-	-	ADJ
ejpam-3408	542	11	commutative	commutative	ADJ
ejpam-3408	542	12	jordan	jordan	PROPN
ejpam-3408	542	13	rings	ring	NOUN
ejpam-3408	542	14	satisfying	satisfy	VERB
ejpam-3408	542	15	the	the	DET
ejpam-3408	542	16	identity	identity	NOUN
ejpam-3408	542	17	(	(	PUNCT
ejpam-3408	542	18	[	[	X
ejpam-3408	542	19	x	x	X
ejpam-3408	542	20	,	,	PUNCT
ejpam-3408	542	21	y	y	PROPN
ejpam-3408	542	22	]	]	X
ejpam-3408	542	23	,	,	PUNCT
ejpam-3408	542	24	z	z	X
ejpam-3408	542	25	,	,	PUNCT
ejpam-3408	542	26	z	z	NOUN
ejpam-3408	542	27	)	)	PUNCT
ejpam-3408	542	28	=	=	SYM
ejpam-3408	542	29	0	0	NUM
ejpam-3408	542	30	for	for	ADP
ejpam-3408	542	31	an	an	DET
ejpam-3408	542	32	arbitrary	arbitrary	ADJ
ejpam-3408	542	33	radical	radical	ADJ
ejpam-3408	542	34	r	r	NOUN
ejpam-3408	542	35	,	,	PUNCT
ejpam-3408	542	36	any	any	DET
ejpam-3408	542	37	ideal	ideal	NOUN
ejpam-3408	542	38	of	of	ADP
ejpam-3408	542	39	an	an	DET
ejpam-3408	542	40	r	r	NOUN
ejpam-3408	542	41	-	-	PUNCT
ejpam-3408	542	42	semisimple	semisimple	NOUN
ejpam-3408	542	43	ring	ring	NOUN
ejpam-3408	542	44	is	be	AUX
ejpam-3408	542	45	r	r	NOUN
ejpam-3408	542	46	-	-	PUNCT
ejpam-3408	542	47	semisimple	semisimple	NOUN
ejpam-3408	542	48	.	.	PUNCT
ejpam-3408	543	1	thus	thus	ADV
ejpam-3408	543	2	the	the	DET
ejpam-3408	543	3	problem	problem	NOUN
ejpam-3408	543	4	of	of	ADP
ejpam-3408	543	5	heredity	heredity	NOUN
ejpam-3408	543	6	of	of	ADP
ejpam-3408	543	7	a	a	DET
ejpam-3408	543	8	radical	radical	ADJ
ejpam-3408	543	9	r	r	NOUN
ejpam-3408	543	10	in	in	ADP
ejpam-3408	543	11	the	the	DET
ejpam-3408	543	12	class	class	NOUN
ejpam-3408	543	13	is	be	AUX
ejpam-3408	543	14	equivalent	equivalent	ADJ
ejpam-3408	543	15	to	to	ADP
ejpam-3408	543	16	the	the	DET
ejpam-3408	543	17	problem	problem	NOUN
ejpam-3408	543	18	of	of	ADP
ejpam-3408	543	19	r	r	NOUN
ejpam-3408	543	20	-	-	PUNCT
ejpam-3408	543	21	radicality	radicality	NOUN
ejpam-3408	543	22	of	of	ADP
ejpam-3408	543	23	any	any	DET
ejpam-3408	543	24	ideal	ideal	NOUN
ejpam-3408	543	25	of	of	ADP
ejpam-3408	543	26	an	an	DET
ejpam-3408	543	27	r	r	NOUN
ejpam-3408	543	28	-	-	PUNCT
ejpam-3408	543	29	radical	radical	ADJ
ejpam-3408	543	30	ring	ring	NOUN
ejpam-3408	543	31	.	.	PUNCT
ejpam-3408	544	1	he	he	PRON
ejpam-3408	544	2	also	also	ADV
ejpam-3408	544	3	proved	prove	VERB
ejpam-3408	544	4	that	that	SCONJ
ejpam-3408	544	5	in	in	ADP
ejpam-3408	544	6	the	the	DET
ejpam-3408	544	7	class	class	NOUN
ejpam-3408	544	8	of	of	ADP
ejpam-3408	544	9	non	non	ADJ
ejpam-3408	544	10	-	-	ADJ
ejpam-3408	544	11	commutative	commutative	ADJ
ejpam-3408	544	12	jordan	jordan	PROPN
ejpam-3408	544	13	rings	rings	PROPN
ejpam-3408	544	14	m	m	VERB
ejpam-3408	544	15	a	a	DET
ejpam-3408	544	16	locally	locally	ADV
ejpam-3408	544	17	-	-	PUNCT
ejpam-3408	544	18	nilpotent	nilpotent	ADJ
ejpam-3408	544	19	radical	radical	NOUN
ejpam-3408	544	20	is	be	AUX
ejpam-3408	544	21	hereditary	hereditary	ADJ
ejpam-3408	544	22	.	.	PUNCT
ejpam-3408	545	1	for	for	ADP
ejpam-3408	545	2	more	more	ADJ
ejpam-3408	545	3	and	and	CCONJ
ejpam-3408	545	4	intrinsic	intrinsic	ADJ
ejpam-3408	545	5	study	study	NOUN
ejpam-3408	545	6	the	the	DET
ejpam-3408	545	7	readers	reader	NOUN
ejpam-3408	545	8	are	be	AUX
ejpam-3408	545	9	referred	refer	VERB
ejpam-3408	545	10	to	to	ADP
ejpam-3408	545	11	the	the	DET
ejpam-3408	545	12	excellent	excellent	ADJ
ejpam-3408	545	13	books	book	NOUN
ejpam-3408	545	14	by	by	ADP
ejpam-3408	545	15	braun	braun	NOUN
ejpam-3408	545	16	and	and	CCONJ
ejpam-3408	545	17	koecher	koecher	NOUN
ejpam-3408	545	18	[	[	X
ejpam-3408	545	19	14	14	NUM
ejpam-3408	545	20	]	]	PUNCT
ejpam-3408	545	21	in	in	ADP
ejpam-3408	545	22	1966	1966	NUM
ejpam-3408	545	23	,	,	PUNCT
ejpam-3408	545	24	jacobson	jacobson	PROPN
ejpam-3408	546	1	[	[	X
ejpam-3408	546	2	114	114	NUM
ejpam-3408	546	3	]	]	PUNCT
ejpam-3408	546	4	in	in	ADP
ejpam-3408	546	5	1968	1968	NUM
ejpam-3408	546	6	and	and	CCONJ
ejpam-3408	546	7	mccrimmon	mccrimmon	ADJ
ejpam-3408	547	1	[	[	X
ejpam-3408	547	2	179	179	NUM
ejpam-3408	547	3	]	]	X
ejpam-3408	547	4	in	in	ADP
ejpam-3408	547	5	2004	2004	NUM
ejpam-3408	547	6	,	,	PUNCT
ejpam-3408	547	7	on	on	ADP
ejpam-3408	547	8	jordan	jordan	PROPN
ejpam-3408	547	9	algebras	algebras	PROPN
ejpam-3408	547	10	which	which	PRON
ejpam-3408	547	11	contain	contain	VERB
ejpam-3408	547	12	substantial	substantial	ADJ
ejpam-3408	547	13	material	material	NOUN
ejpam-3408	547	14	on	on	ADP
ejpam-3408	547	15	general	general	ADJ
ejpam-3408	547	16	non	non	ADJ
ejpam-3408	547	17	-	-	ADJ
ejpam-3408	547	18	associative	associative	ADJ
ejpam-3408	547	19	algebras	algebra	NOUN
ejpam-3408	547	20	.	.	PUNCT
ejpam-3408	548	1	also	also	ADV
ejpam-3408	548	2	some	some	DET
ejpam-3408	548	3	relative	relative	ADJ
ejpam-3408	548	4	research	research	NOUN
ejpam-3408	548	5	work	work	NOUN
ejpam-3408	548	6	can	can	AUX
ejpam-3408	548	7	be	be	AUX
ejpam-3408	548	8	found	find	VERB
ejpam-3408	548	9	in	in	ADP
ejpam-3408	548	10	the	the	DET
ejpam-3408	548	11	proceedings	proceeding	NOUN
ejpam-3408	548	12	of	of	ADP
ejpam-3408	548	13	the	the	DET
ejpam-3408	548	14	international	international	ADJ
ejpam-3408	548	15	conferences	conference	NOUN
ejpam-3408	548	16	on	on	ADP
ejpam-3408	548	17	non	non	ADJ
ejpam-3408	548	18	-	-	ADJ
ejpam-3408	548	19	associative	associative	ADJ
ejpam-3408	548	20	algebra	algebra	NOUN
ejpam-3408	548	21	and	and	CCONJ
ejpam-3408	548	22	its	its	PRON
ejpam-3408	548	23	applications	application	NOUN
ejpam-3408	548	24	[	[	X
ejpam-3408	548	25	55	55	NUM
ejpam-3408	548	26	,	,	PUNCT
ejpam-3408	548	27	156	156	NUM
ejpam-3408	548	28	,	,	PUNCT
ejpam-3408	548	29	201	201	NUM
ejpam-3408	548	30	]	]	PUNCT
ejpam-3408	548	31	.	.	PUNCT
ejpam-3408	549	1	in	in	ADP
ejpam-3408	549	2	2011	2011	NUM
ejpam-3408	549	3	,	,	PUNCT
ejpam-3408	549	4	radu	radu	VERB
ejpam-3408	549	5	[	[	X
ejpam-3408	549	6	107	107	NUM
ejpam-3408	549	7	]	]	PUNCT
ejpam-3408	549	8	gave	give	VERB
ejpam-3408	549	9	us	we	PRON
ejpam-3408	549	10	an	an	DET
ejpam-3408	549	11	overview	overview	NOUN
ejpam-3408	549	12	of	of	ADP
ejpam-3408	549	13	the	the	DET
ejpam-3408	549	14	most	most	ADV
ejpam-3408	549	15	important	important	ADJ
ejpam-3408	549	16	applications	application	NOUN
ejpam-3408	549	17	of	of	ADP
ejpam-3408	549	18	jordan	jordan	PROPN
ejpam-3408	549	19	structures	structure	NOUN
ejpam-3408	549	20	inside	inside	ADP
ejpam-3408	549	21	mathematics	mathematic	NOUN
ejpam-3408	549	22	and	and	CCONJ
ejpam-3408	549	23	also	also	ADV
ejpam-3408	549	24	to	to	ADP
ejpam-3408	549	25	the	the	DET
ejpam-3408	549	26	physics	physic	NOUN
ejpam-3408	549	27	.	.	PUNCT
ejpam-3408	550	1	nowadays	nowadays	ADV
ejpam-3408	550	2	,	,	PUNCT
ejpam-3408	550	3	mathematics	mathematic	NOUN
ejpam-3408	550	4	becomes	become	VERB
ejpam-3408	550	5	more	more	ADV
ejpam-3408	550	6	and	and	CCONJ
ejpam-3408	550	7	more	more	ADJ
ejpam-3408	550	8	non	non	ADJ
ejpam-3408	550	9	-	-	ADJ
ejpam-3408	550	10	associative	associative	ADJ
ejpam-3408	550	11	and	and	CCONJ
ejpam-3408	550	12	the	the	DET
ejpam-3408	550	13	author	author	NOUN
ejpam-3408	550	14	predicts	predict	VERB
ejpam-3408	550	15	in	in	ADP
ejpam-3408	550	16	his	his	PRON
ejpam-3408	550	17	paper	paper	NOUN
ejpam-3408	550	18	that	that	SCONJ
ejpam-3408	550	19	in	in	ADP
ejpam-3408	550	20	few	few	ADJ
ejpam-3408	550	21	years	year	NOUN
ejpam-3408	550	22	non	non	ADJ
ejpam-3408	550	23	-	-	ADJ
ejpam-3408	550	24	associativity	associativity	ADJ
ejpam-3408	550	25	will	will	AUX
ejpam-3408	550	26	govern	govern	VERB
ejpam-3408	550	27	mathematics	mathematic	NOUN
ejpam-3408	550	28	and	and	CCONJ
ejpam-3408	550	29	applied	applied	ADJ
ejpam-3408	550	30	sciences	science	NOUN
ejpam-3408	550	31	.	.	PUNCT
ejpam-3408	551	1	2.5	2.5	NUM
ejpam-3408	551	2	.	.	PUNCT
ejpam-3408	551	3	loop	loop	NOUN
ejpam-3408	551	4	rings	ring	NOUN
ejpam-3408	551	5	(	(	PUNCT
ejpam-3408	551	6	1944	1944	NUM
ejpam-3408	551	7	-	-	SYM
ejpam-3408	551	8	2015	2015	NUM
ejpam-3408	551	9	)	)	PUNCT
ejpam-3408	551	10	historically	historically	ADV
ejpam-3408	551	11	,	,	PUNCT
ejpam-3408	551	12	the	the	DET
ejpam-3408	551	13	concept	concept	NOUN
ejpam-3408	551	14	of	of	ADP
ejpam-3408	551	15	a	a	DET
ejpam-3408	551	16	non	non	ADJ
ejpam-3408	551	17	-	-	ADJ
ejpam-3408	551	18	associative	associative	ADJ
ejpam-3408	551	19	loop	loop	NOUN
ejpam-3408	551	20	ring	ring	NOUN
ejpam-3408	551	21	according	accord	VERB
ejpam-3408	551	22	to	to	ADP
ejpam-3408	551	23	our	our	PRON
ejpam-3408	551	24	knowledge	knowledge	NOUN
ejpam-3408	551	25	was	be	AUX
ejpam-3408	551	26	first	first	ADV
ejpam-3408	551	27	introduced	introduce	VERB
ejpam-3408	551	28	in	in	ADP
ejpam-3408	551	29	a	a	DET
ejpam-3408	551	30	paper	paper	NOUN
ejpam-3408	551	31	by	by	ADP
ejpam-3408	551	32	bruck	bruck	NOUN
ejpam-3408	551	33	in	in	ADP
ejpam-3408	551	34	1944	1944	NUM
ejpam-3408	551	35	[	[	X
ejpam-3408	551	36	20	20	NUM
ejpam-3408	551	37	]	]	PUNCT
ejpam-3408	551	38	.	.	PUNCT
ejpam-3408	552	1	non	non	ADJ
ejpam-3408	552	2	-	-	ADJ
ejpam-3408	552	3	associative	associative	ADJ
ejpam-3408	552	4	loop	loop	NOUN
ejpam-3408	552	5	rings	ring	NOUN
ejpam-3408	552	6	appeared	appear	VERB
ejpam-3408	552	7	to	to	PART
ejpam-3408	552	8	have	have	AUX
ejpam-3408	552	9	been	be	AUX
ejpam-3408	552	10	little	little	ADV
ejpam-3408	552	11	more	more	ADJ
ejpam-3408	552	12	than	than	ADP
ejpam-3408	552	13	a	a	DET
ejpam-3408	552	14	curiosity	curiosity	NOUN
ejpam-3408	552	15	until	until	ADP
ejpam-3408	552	16	the	the	DET
ejpam-3408	552	17	1980s	1980	NOUN
ejpam-3408	552	18	when	when	SCONJ
ejpam-3408	552	19	the	the	DET
ejpam-3408	552	20	author	author	NOUN
ejpam-3408	552	21	found	find	VERB
ejpam-3408	552	22	a	a	DET
ejpam-3408	552	23	class	class	NOUN
ejpam-3408	552	24	of	of	ADP
ejpam-3408	552	25	non	non	ADJ
ejpam-3408	552	26	-	-	ADJ
ejpam-3408	552	27	associative	associative	ADJ
ejpam-3408	552	28	moufang	moufang	PROPN
ejpam-3408	552	29	loops	loop	NOUN
ejpam-3408	552	30	whose	whose	DET
ejpam-3408	552	31	loop	loop	NOUN
ejpam-3408	552	32	rings	ring	NOUN
ejpam-3408	552	33	satisfy	satisfy	VERB
ejpam-3408	552	34	the	the	DET
ejpam-3408	552	35	alternative	alternative	ADJ
ejpam-3408	552	36	laws	law	NOUN
ejpam-3408	552	37	.	.	PUNCT
ejpam-3408	553	1	one	one	PRON
ejpam-3408	553	2	can	can	AUX
ejpam-3408	553	3	defined	define	VERB
ejpam-3408	553	4	loop	loop	NOUN
ejpam-3408	553	5	ring	ring	NOUN
ejpam-3408	553	6	as	as	SCONJ
ejpam-3408	553	7	given	give	VERB
ejpam-3408	553	8	a	a	DET
ejpam-3408	553	9	loop	loop	NOUN
ejpam-3408	553	10	l	l	NOUN
ejpam-3408	553	11	and	and	CCONJ
ejpam-3408	553	12	a	a	DET
ejpam-3408	553	13	commutative	commutative	ADJ
ejpam-3408	553	14	associative	associative	ADJ
ejpam-3408	553	15	ring	ring	NOUN
ejpam-3408	553	16	r	r	NOUN
ejpam-3408	553	17	with	with	ADP
ejpam-3408	553	18	1	1	NUM
ejpam-3408	553	19	,	,	PUNCT
ejpam-3408	553	20	one	one	NUM
ejpam-3408	553	21	forms	form	VERB
ejpam-3408	553	22	the	the	DET
ejpam-3408	553	23	loop	loop	NOUN
ejpam-3408	553	24	ring	ring	NOUN
ejpam-3408	553	25	rl	rl	PRON
ejpam-3408	553	26	just	just	ADV
ejpam-3408	553	27	as	as	SCONJ
ejpam-3408	553	28	one	one	PRON
ejpam-3408	553	29	would	would	AUX
ejpam-3408	553	30	form	form	VERB
ejpam-3408	553	31	a	a	DET
ejpam-3408	553	32	group	group	NOUN
ejpam-3408	553	33	ring	ring	NOUN
ejpam-3408	553	34	if	if	SCONJ
ejpam-3408	553	35	l	l	NOUN
ejpam-3408	553	36	were	be	AUX
ejpam-3408	553	37	a	a	DET
ejpam-3408	553	38	group	group	NOUN
ejpam-3408	553	39	.	.	PUNCT
ejpam-3408	554	1	in	in	ADP
ejpam-3408	554	2	the	the	DET
ejpam-3408	554	3	construction	construction	NOUN
ejpam-3408	554	4	of	of	ADP
ejpam-3408	554	5	rl	rl	ADP
ejpam-3408	554	6	the	the	DET
ejpam-3408	554	7	binary	binary	ADJ
ejpam-3408	554	8	operations	operation	NOUN
ejpam-3408	554	9	addition	addition	NOUN
ejpam-3408	554	10	“	"	PUNCT
ejpam-3408	554	11	+	+	ADJ
ejpam-3408	554	12	”	"	PUNCT
ejpam-3408	554	13	and	and	CCONJ
ejpam-3408	554	14	multiplication	multiplication	NOUN
ejpam-3408	554	15	“	"	PUNCT
ejpam-3408	554	16	.	.	PUNCT
ejpam-3408	554	17	”	"	PUNCT
ejpam-3408	554	18	are	be	AUX
ejpam-3408	554	19	defined	define	VERB
ejpam-3408	554	20	as	as	SCONJ
ejpam-3408	554	21	follows	follow	VERB
ejpam-3408	554	22	α+	α+	NOUN
ejpam-3408	554	23	β	β	X
ejpam-3408	554	24	=	=	PUNCT
ejpam-3408	554	25	∑	∑	PUNCT
ejpam-3408	554	26	g∈l	g∈l	NOUN
ejpam-3408	554	27	(	(	PUNCT
ejpam-3408	554	28	αg	αg	NOUN
ejpam-3408	554	29	+	+	CCONJ
ejpam-3408	554	30	βg)g	βg)g	PROPN
ejpam-3408	554	31	and	and	CCONJ
ejpam-3408	554	32	αβ	αβ	NOUN
ejpam-3408	554	33	=	=	PUNCT
ejpam-3408	554	34	∑	∑	PUNCT
ejpam-3408	554	35	g∈l	g∈l	NOUN
ejpam-3408	554	36	(	(	PUNCT
ejpam-3408	554	37	∑	∑	PUNCT
ejpam-3408	554	38	hk	hk	PROPN
ejpam-3408	554	39	=	=	NOUN
ejpam-3408	554	40	g	g	NOUN
ejpam-3408	554	41	αhβk)g	αhβk)g	PUNCT
ejpam-3408	554	42	.	.	PUNCT
ejpam-3408	555	1	in	in	ADP
ejpam-3408	555	2	1946	1946	NUM
ejpam-3408	555	3	,	,	PUNCT
ejpam-3408	555	4	bruck	bruck	NOUN
ejpam-3408	555	5	[	[	X
ejpam-3408	555	6	22	22	NUM
ejpam-3408	555	7	]	]	PUNCT
ejpam-3408	555	8	revealed	reveal	VERB
ejpam-3408	555	9	that	that	SCONJ
ejpam-3408	555	10	the	the	DET
ejpam-3408	555	11	group	group	NOUN
ejpam-3408	555	12	ring	ring	NOUN
ejpam-3408	555	13	result	result	VERB
ejpam-3408	555	14	about	about	ADP
ejpam-3408	555	15	the	the	DET
ejpam-3408	555	16	centre	centre	NOUN
ejpam-3408	555	17	had	have	VERB
ejpam-3408	555	18	a	a	DET
ejpam-3408	555	19	natural	natural	ADJ
ejpam-3408	555	20	extension	extension	NOUN
ejpam-3408	555	21	and	and	CCONJ
ejpam-3408	555	22	he	he	PRON
ejpam-3408	555	23	established	establish	VERB
ejpam-3408	555	24	a	a	DET
ejpam-3408	555	25	result	result	NOUN
ejpam-3408	555	26	regarding	regard	VERB
ejpam-3408	555	27	the	the	DET
ejpam-3408	555	28	centre	centre	NOUN
ejpam-3408	555	29	of	of	ADP
ejpam-3408	555	30	loop	loop	NOUN
ejpam-3408	555	31	algebra	algebra	PROPN
ejpam-3408	555	32	,	,	PUNCT
ejpam-3408	555	33	i.e.	i.e.	X
ejpam-3408	555	34	;	;	PUNCT
ejpam-3408	555	35	the	the	DET
ejpam-3408	555	36	centre	centre	NOUN
ejpam-3408	555	37	of	of	ADP
ejpam-3408	555	38	loop	loop	NOUN
ejpam-3408	555	39	algebra	algebra	PROPN
ejpam-3408	555	40	is	be	AUX
ejpam-3408	555	41	spanned	span	VERB
ejpam-3408	555	42	by	by	ADP
ejpam-3408	555	43	conjugacy	conjugacy	ADJ
ejpam-3408	555	44	class	class	NOUN
ejpam-3408	555	45	sums	sum	NOUN
ejpam-3408	555	46	.	.	PUNCT
ejpam-3408	556	1	he	he	PRON
ejpam-3408	556	2	also	also	ADV
ejpam-3408	556	3	proved	prove	VERB
ejpam-3408	556	4	that	that	SCONJ
ejpam-3408	556	5	a	a	DET
ejpam-3408	556	6	loop	loop	NOUN
ejpam-3408	556	7	rl	rl	X
ejpam-3408	556	8	is	be	AUX
ejpam-3408	556	9	associative	associative	ADJ
ejpam-3408	556	10	(	(	PUNCT
ejpam-3408	556	11	commutative	commutative	ADJ
ejpam-3408	556	12	)	)	PUNCT
ejpam-3408	556	13	if	if	SCONJ
ejpam-3408	557	1	and	and	CCONJ
ejpam-3408	557	2	only	only	ADV
ejpam-3408	557	3	if	if	SCONJ
ejpam-3408	557	4	l	l	NOUN
ejpam-3408	557	5	is	be	AUX
ejpam-3408	557	6	associative	associative	ADJ
ejpam-3408	557	7	(	(	PUNCT
ejpam-3408	557	8	commutative	commutative	ADJ
ejpam-3408	557	9	)	)	PUNCT
ejpam-3408	557	10	.	.	PUNCT
ejpam-3408	558	1	in	in	ADP
ejpam-3408	558	2	1955	1955	NUM
ejpam-3408	558	3	,	,	PUNCT
ejpam-3408	558	4	paige	paige	PROPN
ejpam-3408	558	5	[	[	X
ejpam-3408	558	6	193	193	NUM
ejpam-3408	558	7	]	]	PUNCT
ejpam-3408	558	8	gave	give	VERB
ejpam-3408	558	9	a	a	DET
ejpam-3408	558	10	striking	striking	ADJ
ejpam-3408	558	11	example	example	NOUN
ejpam-3408	558	12	of	of	ADP
ejpam-3408	558	13	phenomenon	phenomenon	NOUN
ejpam-3408	558	14	that	that	SCONJ
ejpam-3408	558	15	the	the	DET
ejpam-3408	558	16	associative	associative	ADJ
ejpam-3408	558	17	and	and	CCONJ
ejpam-3408	558	18	commutative	commutative	ADJ
ejpam-3408	558	19	identities	identity	NOUN
ejpam-3408	558	20	are	be	AUX
ejpam-3408	558	21	very	very	ADV
ejpam-3408	558	22	special	special	ADJ
ejpam-3408	558	23	,	,	PUNCT
ejpam-3408	558	24	however	however	ADV
ejpam-3408	558	25	in	in	ADP
ejpam-3408	558	26	general	general	ADJ
ejpam-3408	558	27	,	,	PUNCT
ejpam-3408	558	28	an	an	DET
ejpam-3408	558	29	identity	identity	NOUN
ejpam-3408	558	30	in	in	ADP
ejpam-3408	558	31	l	l	NOUN
ejpam-3408	558	32	does	do	AUX
ejpam-3408	558	33	not	not	PART
ejpam-3408	558	34	lift	lift	VERB
ejpam-3408	558	35	to	to	PART
ejpam-3408	558	36	rl	rl	VERB
ejpam-3408	558	37	and	and	CCONJ
ejpam-3408	558	38	an	an	DET
ejpam-3408	558	39	identity	identity	NOUN
ejpam-3408	558	40	on	on	ADP
ejpam-3408	558	41	rl	rl	NOUN
ejpam-3408	558	42	imposes	impose	VERB
ejpam-3408	558	43	much	much	ADV
ejpam-3408	558	44	more	more	ADJ
ejpam-3408	558	45	than	than	ADP
ejpam-3408	558	46	simply	simply	ADV
ejpam-3408	558	47	the	the	DET
ejpam-3408	558	48	same	same	ADJ
ejpam-3408	558	49	identity	identity	NOUN
ejpam-3408	558	50	on	on	ADP
ejpam-3408	558	51	l.	l.	PROPN
ejpam-3408	558	52	he	he	PRON
ejpam-3408	558	53	also	also	ADV
ejpam-3408	558	54	proved	prove	VERB
ejpam-3408	558	55	that	that	SCONJ
ejpam-3408	558	56	if	if	SCONJ
ejpam-3408	558	57	r	r	NOUN
ejpam-3408	558	58	is	be	AUX
ejpam-3408	558	59	a	a	DET
ejpam-3408	558	60	ring	ring	NOUN
ejpam-3408	558	61	of	of	ADP
ejpam-3408	558	62	characteristic	characteristic	ADJ
ejpam-3408	558	63	relatively	relatively	ADV
ejpam-3408	558	64	prime	prime	ADJ
ejpam-3408	558	65	to	to	ADP
ejpam-3408	558	66	30	30	NUM
ejpam-3408	558	67	and	and	CCONJ
ejpam-3408	558	68	l	l	NOUN
ejpam-3408	558	69	is	be	AUX
ejpam-3408	558	70	a	a	DET
ejpam-3408	558	71	loop	loop	NOUN
ejpam-3408	558	72	such	such	ADJ
ejpam-3408	558	73	that	that	SCONJ
ejpam-3408	558	74	rl	rl	PROPN
ejpam-3408	558	75	is	be	AUX
ejpam-3408	558	76	commutative	commutative	ADJ
ejpam-3408	558	77	and	and	CCONJ
ejpam-3408	558	78	power	power	NOUN
ejpam-3408	558	79	associative	associative	NOUN
ejpam-3408	558	80	,	,	PUNCT
ejpam-3408	558	81	then	then	ADV
ejpam-3408	558	82	l	l	NOUN
ejpam-3408	558	83	is	be	AUX
ejpam-3408	558	84	a	a	DET
ejpam-3408	558	85	group	group	NOUN
ejpam-3408	558	86	.	.	PUNCT
ejpam-3408	559	1	in	in	ADP
ejpam-3408	559	2	1959	1959	NUM
ejpam-3408	559	3	,	,	PUNCT
ejpam-3408	559	4	hall	hall	NOUN
ejpam-3408	560	1	[	[	X
ejpam-3408	560	2	77	77	NUM
ejpam-3408	560	3	]	]	PUNCT
ejpam-3408	560	4	did	do	VERB
ejpam-3408	560	5	an	an	DET
ejpam-3408	560	6	excellent	excellent	ADJ
ejpam-3408	560	7	work	work	NOUN
ejpam-3408	560	8	on	on	ADP
ejpam-3408	560	9	right	right	PROPN
ejpam-3408	560	10	moufang	moufang	PROPN
ejpam-3408	560	11	loops	loop	NOUN
ejpam-3408	560	12	.	.	PUNCT
ejpam-3408	561	1	a	a	DET
ejpam-3408	561	2	moufang	moufang	PROPN
ejpam-3408	561	3	loop	loop	NOUN
ejpam-3408	561	4	is	be	AUX
ejpam-3408	561	5	a	a	DET
ejpam-3408	561	6	loop	loop	NOUN
ejpam-3408	561	7	which	which	PRON
ejpam-3408	561	8	satisfies	satisfy	VERB
ejpam-3408	561	9	this	this	DET
ejpam-3408	561	10	right	right	PROPN
ejpam-3408	561	11	moufang	moufang	PROPN
ejpam-3408	561	12	identity	identity	NOUN
ejpam-3408	561	13	:	:	PUNCT
ejpam-3408	561	14	(	(	PUNCT
ejpam-3408	561	15	(	(	PUNCT
ejpam-3408	561	16	xy)z)y	xy)z)y	X
ejpam-3408	561	17	=	=	SYM
ejpam-3408	561	18	x(y(zy	x(y(zy	NOUN
ejpam-3408	561	19	)	)	PUNCT
ejpam-3408	561	20	)	)	PUNCT
ejpam-3408	561	21	.	.	PUNCT
ejpam-3408	562	1	a.	a.	NOUN
ejpam-3408	562	2	razzaque	razzaque	PROPN
ejpam-3408	562	3	et	et	PROPN
ejpam-3408	562	4	al	al	PROPN
ejpam-3408	562	5	.	.	PUNCT
ejpam-3408	562	6	/	/	SYM
ejpam-3408	562	7	eur	eur	PROPN
ejpam-3408	562	8	.	.	PUNCT
ejpam-3408	563	1	j.	j.	PROPN
ejpam-3408	563	2	pure	pure	PROPN
ejpam-3408	563	3	appl	appl	PROPN
ejpam-3408	563	4	.	.	PROPN
ejpam-3408	563	5	math	math	PROPN
ejpam-3408	563	6	,	,	PUNCT
ejpam-3408	563	7	12	12	NUM
ejpam-3408	563	8	(	(	PUNCT
ejpam-3408	563	9	2	2	NUM
ejpam-3408	563	10	)	)	PUNCT
ejpam-3408	563	11	(	(	PUNCT
ejpam-3408	563	12	2019	2019	NUM
ejpam-3408	563	13	)	)	PUNCT
ejpam-3408	563	14	,	,	PUNCT
ejpam-3408	563	15	370	370	NUM
ejpam-3408	563	16	-	-	SYM
ejpam-3408	563	17	408	408	NUM
ejpam-3408	563	18	387	387	NUM
ejpam-3408	563	19	the	the	DET
ejpam-3408	563	20	moufang	moufang	PROPN
ejpam-3408	563	21	identity	identity	NOUN
ejpam-3408	563	22	is	be	AUX
ejpam-3408	563	23	named	name	VERB
ejpam-3408	563	24	for	for	ADP
ejpam-3408	563	25	ruth	ruth	PROPN
ejpam-3408	563	26	moufang	moufang	PROPN
ejpam-3408	563	27	who	who	PRON
ejpam-3408	563	28	discovered	discover	VERB
ejpam-3408	563	29	it	it	PRON
ejpam-3408	563	30	in	in	ADP
ejpam-3408	563	31	some	some	DET
ejpam-3408	563	32	geometrical	geometrical	ADJ
ejpam-3408	563	33	investigations	investigation	NOUN
ejpam-3408	563	34	in	in	ADP
ejpam-3408	563	35	the	the	DET
ejpam-3408	563	36	first	first	ADJ
ejpam-3408	563	37	half	half	NOUN
ejpam-3408	563	38	of	of	ADP
ejpam-3408	563	39	this	this	DET
ejpam-3408	563	40	century	century	NOUN
ejpam-3408	564	1	[	[	X
ejpam-3408	564	2	185	185	NUM
ejpam-3408	564	3	]	]	PUNCT
ejpam-3408	564	4	.	.	PUNCT
ejpam-3408	565	1	later	later	ADV
ejpam-3408	565	2	,	,	PUNCT
ejpam-3408	565	3	in	in	ADP
ejpam-3408	565	4	1974	1974	NUM
ejpam-3408	565	5	,	,	PUNCT
ejpam-3408	565	6	chein	chein	ADV
ejpam-3408	565	7	[	[	X
ejpam-3408	565	8	25	25	NUM
ejpam-3408	565	9	]	]	PUNCT
ejpam-3408	565	10	discovered	discover	VERB
ejpam-3408	565	11	that	that	SCONJ
ejpam-3408	565	12	any	any	DET
ejpam-3408	565	13	group	group	NOUN
ejpam-3408	565	14	is	be	AUX
ejpam-3408	565	15	a	a	DET
ejpam-3408	565	16	moufang	moufang	PROPN
ejpam-3408	565	17	loop	loop	NOUN
ejpam-3408	565	18	,	,	PUNCT
ejpam-3408	565	19	but	but	CCONJ
ejpam-3408	565	20	here	here	ADV
ejpam-3408	565	21	is	be	AUX
ejpam-3408	565	22	a	a	DET
ejpam-3408	565	23	family	family	NOUN
ejpam-3408	565	24	of	of	ADP
ejpam-3408	565	25	moufang	moufang	PROPN
ejpam-3408	565	26	loops	loop	NOUN
ejpam-3408	565	27	which	which	PRON
ejpam-3408	565	28	are	be	AUX
ejpam-3408	565	29	not	not	PART
ejpam-3408	565	30	associative	associative	ADJ
ejpam-3408	565	31	.	.	PUNCT
ejpam-3408	566	1	in	in	ADP
ejpam-3408	566	2	1983	1983	NUM
ejpam-3408	566	3	,	,	PUNCT
ejpam-3408	566	4	goodaire	goodaire	VERB
ejpam-3408	566	5	[	[	X
ejpam-3408	566	6	57	57	NUM
ejpam-3408	566	7	]	]	PUNCT
ejpam-3408	566	8	proved	prove	VERB
ejpam-3408	566	9	that	that	SCONJ
ejpam-3408	566	10	if	if	SCONJ
ejpam-3408	566	11	the	the	DET
ejpam-3408	566	12	moufang	moufang	PROPN
ejpam-3408	566	13	identity	identity	NOUN
ejpam-3408	566	14	on	on	ADP
ejpam-3408	566	15	l	l	NOUN
ejpam-3408	566	16	extends	extend	VERB
ejpam-3408	566	17	to	to	ADP
ejpam-3408	566	18	a	a	DET
ejpam-3408	566	19	loop	loop	NOUN
ejpam-3408	566	20	ring	ring	NOUN
ejpam-3408	566	21	rl	rl	NOUN
ejpam-3408	566	22	,	,	PUNCT
ejpam-3408	566	23	then	then	ADV
ejpam-3408	566	24	rl	rl	PRON
ejpam-3408	566	25	must	must	AUX
ejpam-3408	566	26	be	be	AUX
ejpam-3408	566	27	an	an	DET
ejpam-3408	566	28	alternative	alternative	ADJ
ejpam-3408	566	29	ring	ring	NOUN
ejpam-3408	566	30	.	.	PUNCT
ejpam-3408	567	1	in	in	ADP
ejpam-3408	567	2	1985	1985	NUM
ejpam-3408	567	3	,	,	PUNCT
ejpam-3408	567	4	chein	chein	ADJ
ejpam-3408	567	5	and	and	CCONJ
ejpam-3408	567	6	goodaire	goodaire	ADJ
ejpam-3408	567	7	[	[	X
ejpam-3408	567	8	26	26	NUM
ejpam-3408	567	9	]	]	PUNCT
ejpam-3408	567	10	presented	present	VERB
ejpam-3408	567	11	the	the	DET
ejpam-3408	567	12	method	method	NOUN
ejpam-3408	567	13	of	of	ADP
ejpam-3408	567	14	constructing	construct	VERB
ejpam-3408	567	15	all	all	DET
ejpam-3408	567	16	ra	ra	PROPN
ejpam-3408	567	17	loops	loop	NOUN
ejpam-3408	567	18	,	,	PUNCT
ejpam-3408	567	19	one	one	NUM
ejpam-3408	567	20	which	which	PRON
ejpam-3408	567	21	begins	begin	VERB
ejpam-3408	567	22	with	with	ADP
ejpam-3408	567	23	the	the	DET
ejpam-3408	567	24	class	class	NOUN
ejpam-3408	567	25	of	of	ADP
ejpam-3408	567	26	abelian	abelian	ADJ
ejpam-3408	567	27	groups	group	NOUN
ejpam-3408	567	28	possessing	possess	VERB
ejpam-3408	567	29	2	2	NUM
ejpam-3408	567	30	-	-	PUNCT
ejpam-3408	567	31	torsion	torsion	NOUN
ejpam-3408	567	32	.	.	PUNCT
ejpam-3408	568	1	they	they	PRON
ejpam-3408	568	2	further	far	ADV
ejpam-3408	568	3	determined	determine	VERB
ejpam-3408	568	4	when	when	SCONJ
ejpam-3408	568	5	two	two	NUM
ejpam-3408	568	6	ra	ra	PROPN
ejpam-3408	568	7	loops	loop	NOUN
ejpam-3408	568	8	constructed	construct	VERB
ejpam-3408	568	9	by	by	ADP
ejpam-3408	568	10	this	this	DET
ejpam-3408	568	11	method	method	NOUN
ejpam-3408	568	12	are	be	AUX
ejpam-3408	568	13	isomorphic	isomorphic	ADJ
ejpam-3408	568	14	.	.	PUNCT
ejpam-3408	569	1	in	in	ADP
ejpam-3408	569	2	particular	particular	ADJ
ejpam-3408	569	3	,	,	PUNCT
ejpam-3408	569	4	they	they	PRON
ejpam-3408	569	5	determined	determine	VERB
ejpam-3408	569	6	when	when	SCONJ
ejpam-3408	569	7	two	two	NUM
ejpam-3408	569	8	non	non	ADJ
ejpam-3408	569	9	-	-	ADJ
ejpam-3408	569	10	isomorphic	isomorphic	ADJ
ejpam-3408	569	11	groups	group	NOUN
ejpam-3408	569	12	with	with	ADP
ejpam-3408	569	13	property	property	NOUN
ejpam-3408	569	14	lc	lc	NOUN
ejpam-3408	569	15	can	can	AUX
ejpam-3408	569	16	both	both	PRON
ejpam-3408	569	17	be	be	AUX
ejpam-3408	569	18	embedded	embed	VERB
ejpam-3408	569	19	as	as	ADP
ejpam-3408	569	20	index	index	NOUN
ejpam-3408	569	21	two	two	NUM
ejpam-3408	569	22	sub	sub	NOUN
ejpam-3408	569	23	-	-	NOUN
ejpam-3408	569	24	loops	loop	NOUN
ejpam-3408	569	25	in	in	ADP
ejpam-3408	569	26	the	the	DET
ejpam-3408	569	27	same	same	ADJ
ejpam-3408	569	28	ra	ra	PROPN
ejpam-3408	569	29	loop	loop	NOUN
ejpam-3408	569	30	.	.	PUNCT
ejpam-3408	570	1	subsequently	subsequently	ADV
ejpam-3408	570	2	,	,	PUNCT
ejpam-3408	570	3	in	in	ADP
ejpam-3408	570	4	1986	1986	NUM
ejpam-3408	570	5	,	,	PUNCT
ejpam-3408	570	6	goodair	goodair	NOUN
ejpam-3408	570	7	and	and	CCONJ
ejpam-3408	570	8	chein	chein	ADV
ejpam-3408	570	9	[	[	X
ejpam-3408	570	10	27	27	NUM
ejpam-3408	570	11	]	]	PUNCT
ejpam-3408	570	12	worked	work	VERB
ejpam-3408	570	13	with	with	ADP
ejpam-3408	570	14	collaboration	collaboration	NOUN
ejpam-3408	570	15	and	and	CCONJ
ejpam-3408	570	16	yielded	yield	VERB
ejpam-3408	570	17	more	more	ADV
ejpam-3408	570	18	satisfying	satisfying	ADJ
ejpam-3408	570	19	information	information	NOUN
ejpam-3408	570	20	about	about	ADP
ejpam-3408	570	21	ra	ra	PROPN
ejpam-3408	570	22	(	(	PUNCT
ejpam-3408	570	23	right	right	ADJ
ejpam-3408	570	24	alternative	alternative	NOUN
ejpam-3408	570	25	)	)	PUNCT
ejpam-3408	570	26	loops	loop	NOUN
ejpam-3408	570	27	.	.	PUNCT
ejpam-3408	571	1	soon	soon	ADV
ejpam-3408	571	2	after	after	ADV
ejpam-3408	571	3	,	,	PUNCT
ejpam-3408	571	4	goodaire	goodaire	NOUN
ejpam-3408	571	5	and	and	CCONJ
ejpam-3408	571	6	parmenter	parmenter	NOUN
ejpam-3408	571	7	[	[	X
ejpam-3408	571	8	70	70	NUM
ejpam-3408	571	9	]	]	PUNCT
ejpam-3408	571	10	in	in	ADP
ejpam-3408	571	11	1986	1986	NUM
ejpam-3408	571	12	demonstrated	demonstrate	VERB
ejpam-3408	571	13	that	that	SCONJ
ejpam-3408	571	14	the	the	DET
ejpam-3408	571	15	certain	certain	ADJ
ejpam-3408	571	16	well	well	ADV
ejpam-3408	571	17	known	know	VERB
ejpam-3408	571	18	theorems	theorem	NOUN
ejpam-3408	571	19	concerning	concern	VERB
ejpam-3408	571	20	units	unit	NOUN
ejpam-3408	571	21	in	in	ADP
ejpam-3408	571	22	integral	integral	ADJ
ejpam-3408	571	23	group	group	NOUN
ejpam-3408	571	24	rings	ring	NOUN
ejpam-3408	571	25	holds	hold	VERB
ejpam-3408	571	26	more	more	ADV
ejpam-3408	571	27	generally	generally	ADV
ejpam-3408	571	28	for	for	ADP
ejpam-3408	571	29	integral	integral	ADJ
ejpam-3408	571	30	loop	loop	NOUN
ejpam-3408	571	31	rings	ring	NOUN
ejpam-3408	571	32	which	which	PRON
ejpam-3408	571	33	are	be	AUX
ejpam-3408	571	34	alternative	alternative	ADJ
ejpam-3408	571	35	.	.	PUNCT
ejpam-3408	572	1	afterwards	afterwards	ADV
ejpam-3408	572	2	,	,	PUNCT
ejpam-3408	572	3	in	in	ADP
ejpam-3408	572	4	1987	1987	NUM
ejpam-3408	572	5	,	,	PUNCT
ejpam-3408	572	6	goodaire	goodaire	NOUN
ejpam-3408	572	7	and	and	CCONJ
ejpam-3408	572	8	parmenter	parmenter	NOUN
ejpam-3408	572	9	[	[	X
ejpam-3408	572	10	71	71	NUM
ejpam-3408	572	11	]	]	PUNCT
ejpam-3408	572	12	endeavored	endeavor	VERB
ejpam-3408	572	13	to	to	PART
ejpam-3408	572	14	establish	establish	VERB
ejpam-3408	572	15	conditions	condition	NOUN
ejpam-3408	572	16	which	which	PRON
ejpam-3408	572	17	guarantee	guarantee	VERB
ejpam-3408	572	18	the	the	DET
ejpam-3408	572	19	semi	semi	ADJ
ejpam-3408	572	20	-	-	NOUN
ejpam-3408	572	21	simplicity	simplicity	NOUN
ejpam-3408	572	22	of	of	ADP
ejpam-3408	572	23	alternative	alternative	ADJ
ejpam-3408	572	24	loop	loop	NOUN
ejpam-3408	572	25	rings	ring	NOUN
ejpam-3408	572	26	with	with	ADP
ejpam-3408	572	27	respect	respect	NOUN
ejpam-3408	572	28	to	to	ADP
ejpam-3408	572	29	any	any	DET
ejpam-3408	572	30	nil	nil	ADJ
ejpam-3408	572	31	radical	radical	ADJ
ejpam-3408	572	32	and	and	CCONJ
ejpam-3408	572	33	with	with	ADP
ejpam-3408	572	34	respect	respect	NOUN
ejpam-3408	572	35	to	to	ADP
ejpam-3408	572	36	the	the	DET
ejpam-3408	572	37	jacobson	jacobson	PROPN
ejpam-3408	572	38	radical	radical	PROPN
ejpam-3408	572	39	.	.	PUNCT
ejpam-3408	573	1	in	in	ADP
ejpam-3408	573	2	1988	1988	NUM
ejpam-3408	573	3	,	,	PUNCT
ejpam-3408	573	4	goodaire	goodaire	NOUN
ejpam-3408	573	5	and	and	CCONJ
ejpam-3408	573	6	milies	milie	NOUN
ejpam-3408	573	7	[	[	X
ejpam-3408	573	8	63	63	NUM
ejpam-3408	573	9	]	]	PUNCT
ejpam-3408	573	10	first	first	ADV
ejpam-3408	573	11	suggested	suggest	VERB
ejpam-3408	573	12	to	to	PART
ejpam-3408	573	13	settle	settle	VERB
ejpam-3408	573	14	the	the	DET
ejpam-3408	573	15	isomorphism	isomorphism	NOUN
ejpam-3408	573	16	problem	problem	NOUN
ejpam-3408	573	17	for	for	ADP
ejpam-3408	573	18	alternative	alternative	ADJ
ejpam-3408	573	19	loop	loop	NOUN
ejpam-3408	573	20	rings	ring	NOUN
ejpam-3408	573	21	,	,	PUNCT
ejpam-3408	573	22	it	it	PRON
ejpam-3408	573	23	was	be	AUX
ejpam-3408	573	24	shown	show	VERB
ejpam-3408	573	25	that	that	SCONJ
ejpam-3408	573	26	a	a	DET
ejpam-3408	573	27	moufang	moufang	PROPN
ejpam-3408	573	28	loop	loop	NOUN
ejpam-3408	573	29	whose	whose	DET
ejpam-3408	573	30	integral	integral	ADJ
ejpam-3408	573	31	loop	loop	NOUN
ejpam-3408	573	32	ring	ring	NOUN
ejpam-3408	573	33	is	be	AUX
ejpam-3408	573	34	alternative	alternative	ADJ
ejpam-3408	573	35	is	be	AUX
ejpam-3408	573	36	determined	determine	VERB
ejpam-3408	573	37	up	up	ADP
ejpam-3408	573	38	to	to	ADP
ejpam-3408	573	39	isomorphism	isomorphism	NOUN
ejpam-3408	573	40	by	by	ADP
ejpam-3408	573	41	that	that	DET
ejpam-3408	573	42	loop	loop	NOUN
ejpam-3408	573	43	ring	ring	NOUN
ejpam-3408	573	44	.	.	PUNCT
ejpam-3408	574	1	secondly	secondly	ADV
ejpam-3408	574	2	,	,	PUNCT
ejpam-3408	574	3	it	it	PRON
ejpam-3408	574	4	was	be	AUX
ejpam-3408	574	5	shown	show	VERB
ejpam-3408	574	6	that	that	SCONJ
ejpam-3408	574	7	every	every	DET
ejpam-3408	574	8	normalized	normalize	VERB
ejpam-3408	574	9	automorphism	automorphism	NOUN
ejpam-3408	574	10	of	of	ADP
ejpam-3408	574	11	an	an	DET
ejpam-3408	574	12	alternative	alternative	ADJ
ejpam-3408	574	13	loop	loop	NOUN
ejpam-3408	574	14	ring	ring	NOUN
ejpam-3408	574	15	zl	zl	PROPN
ejpam-3408	574	16	is	be	AUX
ejpam-3408	574	17	the	the	DET
ejpam-3408	574	18	product	product	NOUN
ejpam-3408	574	19	of	of	ADP
ejpam-3408	574	20	an	an	DET
ejpam-3408	574	21	inner	inner	ADJ
ejpam-3408	574	22	automorphism	automorphism	NOUN
ejpam-3408	574	23	of	of	ADP
ejpam-3408	574	24	ql	ql	NOUN
ejpam-3408	574	25	and	and	CCONJ
ejpam-3408	574	26	an	an	DET
ejpam-3408	574	27	automorphism	automorphism	NOUN
ejpam-3408	574	28	of	of	ADP
ejpam-3408	574	29	l.	l.	PROPN
ejpam-3408	574	30	additionally	additionally	ADV
ejpam-3408	574	31	,	,	PUNCT
ejpam-3408	574	32	in	in	ADP
ejpam-3408	574	33	1989	1989	NUM
ejpam-3408	574	34	,	,	PUNCT
ejpam-3408	574	35	goodaire	goodaire	NOUN
ejpam-3408	574	36	and	and	CCONJ
ejpam-3408	574	37	milies	milie	NOUN
ejpam-3408	574	38	[	[	X
ejpam-3408	574	39	64	64	NUM
ejpam-3408	574	40	]	]	PUNCT
ejpam-3408	574	41	established	establish	VERB
ejpam-3408	574	42	that	that	SCONJ
ejpam-3408	574	43	every	every	DET
ejpam-3408	574	44	torsion	torsion	NOUN
ejpam-3408	574	45	unit	unit	NOUN
ejpam-3408	574	46	in	in	ADP
ejpam-3408	574	47	an	an	DET
ejpam-3408	574	48	alternative	alternative	ADJ
ejpam-3408	574	49	loop	loop	NOUN
ejpam-3408	574	50	ring	ring	NOUN
ejpam-3408	574	51	over	over	ADP
ejpam-3408	574	52	z	z	PROPN
ejpam-3408	574	53	is	be	AUX
ejpam-3408	574	54	±	±	NUM
ejpam-3408	574	55	a	a	DET
ejpam-3408	574	56	conjugate	conjugate	NOUN
ejpam-3408	574	57	of	of	ADP
ejpam-3408	574	58	a	a	DET
ejpam-3408	574	59	conjugate	conjugate	NOUN
ejpam-3408	574	60	of	of	ADP
ejpam-3408	574	61	a	a	DET
ejpam-3408	574	62	loop	loop	NOUN
ejpam-3408	574	63	element	element	NOUN
ejpam-3408	574	64	.	.	PUNCT
ejpam-3408	575	1	they	they	PRON
ejpam-3408	575	2	also	also	ADV
ejpam-3408	575	3	assumed	assume	VERB
ejpam-3408	575	4	that	that	SCONJ
ejpam-3408	575	5	zl	zl	PROPN
ejpam-3408	575	6	denotes	denote	VERB
ejpam-3408	575	7	the	the	DET
ejpam-3408	575	8	integral	integral	ADJ
ejpam-3408	575	9	alternative	alternative	ADJ
ejpam-3408	575	10	loop	loop	NOUN
ejpam-3408	575	11	ring	ring	NOUN
ejpam-3408	575	12	of	of	ADP
ejpam-3408	575	13	a	a	DET
ejpam-3408	575	14	finite	finite	PROPN
ejpam-3408	575	15	loop	loop	NOUN
ejpam-3408	575	16	l.	l.	PROPN
ejpam-3408	575	17	it	it	PRON
ejpam-3408	575	18	is	be	AUX
ejpam-3408	575	19	a	a	DET
ejpam-3408	575	20	well	well	ADV
ejpam-3408	575	21	-	-	PUNCT
ejpam-3408	575	22	known	know	VERB
ejpam-3408	575	23	result	result	NOUN
ejpam-3408	575	24	of	of	ADP
ejpam-3408	575	25	higman	higman	NOUN
ejpam-3408	575	26	[	[	X
ejpam-3408	575	27	95	95	NUM
ejpam-3408	575	28	]	]	PUNCT
ejpam-3408	575	29	that	that	SCONJ
ejpam-3408	575	30	if	if	SCONJ
ejpam-3408	575	31	l	l	NOUN
ejpam-3408	575	32	is	be	AUX
ejpam-3408	575	33	an	an	DET
ejpam-3408	575	34	abelian	abelian	ADJ
ejpam-3408	575	35	group	group	NOUN
ejpam-3408	575	36	then	then	ADV
ejpam-3408	575	37	±g	±g	PROPN
ejpam-3408	575	38	,	,	PUNCT
ejpam-3408	575	39	g	g	PROPN
ejpam-3408	575	40	∈	∈	PROPN
ejpam-3408	575	41	l	l	NOUN
ejpam-3408	575	42	are	be	AUX
ejpam-3408	575	43	the	the	DET
ejpam-3408	575	44	only	only	ADJ
ejpam-3408	575	45	torsion	torsion	NOUN
ejpam-3408	575	46	units	unit	NOUN
ejpam-3408	575	47	(	(	PUNCT
ejpam-3408	575	48	invertible	invertible	ADJ
ejpam-3408	575	49	elements	element	NOUN
ejpam-3408	575	50	of	of	ADP
ejpam-3408	575	51	finite	finite	ADJ
ejpam-3408	575	52	order	order	NOUN
ejpam-3408	575	53	)	)	PUNCT
ejpam-3408	575	54	in	in	ADP
ejpam-3408	575	55	zl	zl	PROPN
ejpam-3408	575	56	.	.	PROPN
ejpam-3408	575	57	when	when	SCONJ
ejpam-3408	575	58	l	l	NOUN
ejpam-3408	575	59	is	be	AUX
ejpam-3408	575	60	not	not	PART
ejpam-3408	575	61	abelian	abelian	ADJ
ejpam-3408	575	62	,	,	PUNCT
ejpam-3408	575	63	another	another	DET
ejpam-3408	575	64	obvious	obvious	ADJ
ejpam-3408	575	65	source	source	NOUN
ejpam-3408	575	66	of	of	ADP
ejpam-3408	575	67	units	unit	NOUN
ejpam-3408	575	68	is	be	AUX
ejpam-3408	575	69	the	the	DET
ejpam-3408	575	70	set	set	ADJ
ejpam-3408	575	71	±γ−1gγ	±γ−1gγ	NOUN
ejpam-3408	575	72	of	of	ADP
ejpam-3408	575	73	conjugates	conjugate	NOUN
ejpam-3408	575	74	of	of	ADP
ejpam-3408	575	75	elements	element	NOUN
ejpam-3408	575	76	of	of	ADP
ejpam-3408	575	77	l	l	NOUN
ejpam-3408	575	78	by	by	ADP
ejpam-3408	575	79	invertible	invertible	ADJ
ejpam-3408	575	80	elements	element	NOUN
ejpam-3408	575	81	in	in	ADP
ejpam-3408	575	82	the	the	DET
ejpam-3408	575	83	rational	rational	ADJ
ejpam-3408	575	84	loop	loop	NOUN
ejpam-3408	575	85	algebra	algebra	NOUN
ejpam-3408	575	86	ql	ql	NOUN
ejpam-3408	575	87	.	.	PROPN
ejpam-3408	576	1	in	in	ADP
ejpam-3408	576	2	the	the	DET
ejpam-3408	576	3	alternative	alternative	NOUN
ejpam-3408	576	4	but	but	CCONJ
ejpam-3408	576	5	not	not	PART
ejpam-3408	576	6	associative	associative	ADJ
ejpam-3408	576	7	case	case	NOUN
ejpam-3408	576	8	,	,	PUNCT
ejpam-3408	576	9	one	one	PRON
ejpam-3408	576	10	can	can	AUX
ejpam-3408	576	11	form	form	VERB
ejpam-3408	576	12	potentially	potentially	ADV
ejpam-3408	576	13	more	more	ADJ
ejpam-3408	576	14	torsion	torsion	NOUN
ejpam-3408	576	15	units	unit	NOUN
ejpam-3408	576	16	by	by	ADP
ejpam-3408	576	17	considering	consider	VERB
ejpam-3408	576	18	conjugates	conjugate	NOUN
ejpam-3408	576	19	of	of	ADP
ejpam-3408	576	20	conjugates	conjugate	NOUN
ejpam-3408	576	21	γ−1	γ−1	PROPN
ejpam-3408	576	22	1	1	NUM
ejpam-3408	576	23	(	(	PUNCT
ejpam-3408	576	24	γ−1	γ−1	PROPN
ejpam-3408	576	25	2	2	NUM
ejpam-3408	576	26	gγ2)γ1	gγ2)γ1	NOUN
ejpam-3408	576	27	and	and	CCONJ
ejpam-3408	576	28	so	so	ADV
ejpam-3408	576	29	forth	forth	ADV
ejpam-3408	576	30	.	.	PUNCT
ejpam-3408	577	1	furthermore	furthermore	ADV
ejpam-3408	577	2	,	,	PUNCT
ejpam-3408	577	3	chein	chein	ADJ
ejpam-3408	577	4	and	and	CCONJ
ejpam-3408	577	5	goodaire	goodaire	VERB
ejpam-3408	578	1	[	[	X
ejpam-3408	578	2	28	28	NUM
ejpam-3408	578	3	]	]	PUNCT
ejpam-3408	578	4	in	in	ADP
ejpam-3408	578	5	1990	1990	NUM
ejpam-3408	578	6	continued	continue	VERB
ejpam-3408	578	7	their	their	PRON
ejpam-3408	578	8	investigation	investigation	NOUN
ejpam-3408	578	9	of	of	ADP
ejpam-3408	578	10	loops	loop	NOUN
ejpam-3408	578	11	which	which	PRON
ejpam-3408	578	12	gave	give	VERB
ejpam-3408	578	13	rise	rise	NOUN
ejpam-3408	578	14	to	to	ADP
ejpam-3408	578	15	alternative	alternative	ADJ
ejpam-3408	578	16	loop	loop	NOUN
ejpam-3408	578	17	rings	ring	NOUN
ejpam-3408	578	18	.	.	PUNCT
ejpam-3408	579	1	if	if	SCONJ
ejpam-3408	579	2	the	the	DET
ejpam-3408	579	3	coefficient	coefficient	NOUN
ejpam-3408	579	4	ring	ring	NOUN
ejpam-3408	579	5	has	have	AUX
ejpam-3408	579	6	characteristic2	characteristic2	VERB
ejpam-3408	579	7	,	,	PUNCT
ejpam-3408	579	8	these	these	DET
ejpam-3408	579	9	loops	loop	NOUN
ejpam-3408	579	10	turn	turn	VERB
ejpam-3408	579	11	out	out	ADP
ejpam-3408	579	12	to	to	PART
ejpam-3408	579	13	form	form	VERB
ejpam-3408	579	14	a	a	DET
ejpam-3408	579	15	surprisingly	surprisingly	ADV
ejpam-3408	579	16	wide	wide	ADJ
ejpam-3408	579	17	class	class	NOUN
ejpam-3408	579	18	,	,	PUNCT
ejpam-3408	579	19	in	in	ADP
ejpam-3408	579	20	contrast	contrast	NOUN
ejpam-3408	579	21	to	to	ADP
ejpam-3408	579	22	the	the	DET
ejpam-3408	579	23	situation	situation	NOUN
ejpam-3408	579	24	of	of	ADP
ejpam-3408	579	25	characteristic	characteristic	ADJ
ejpam-3408	579	26	6=	6=	NUM
ejpam-3408	579	27	2	2	NUM
ejpam-3408	579	28	.	.	PUNCT
ejpam-3408	580	1	this	this	DET
ejpam-3408	580	2	paper	paper	NOUN
ejpam-3408	580	3	described	describe	VERB
ejpam-3408	580	4	many	many	ADJ
ejpam-3408	580	5	properties	property	NOUN
ejpam-3408	580	6	of	of	ADP
ejpam-3408	580	7	this	this	DET
ejpam-3408	580	8	class	class	NOUN
ejpam-3408	580	9	,	,	PUNCT
ejpam-3408	580	10	includes	include	VERB
ejpam-3408	580	11	diverse	diverse	ADJ
ejpam-3408	580	12	examples	example	NOUN
ejpam-3408	580	13	of	of	ADP
ejpam-3408	580	14	moufang	moufang	PROPN
ejpam-3408	580	15	loops	loop	NOUN
ejpam-3408	580	16	which	which	PRON
ejpam-3408	580	17	were	be	AUX
ejpam-3408	580	18	united	unite	VERB
ejpam-3408	580	19	by	by	ADP
ejpam-3408	580	20	the	the	DET
ejpam-3408	580	21	fact	fact	NOUN
ejpam-3408	580	22	that	that	SCONJ
ejpam-3408	580	23	they	they	PRON
ejpam-3408	580	24	had	have	AUX
ejpam-3408	580	25	loop	loop	NOUN
ejpam-3408	580	26	rings	ring	NOUN
ejpam-3408	580	27	which	which	PRON
ejpam-3408	580	28	were	be	AUX
ejpam-3408	580	29	alternative	alternative	ADJ
ejpam-3408	580	30	,	,	PUNCT
ejpam-3408	580	31	and	and	CCONJ
ejpam-3408	580	32	discussed	discuss	VERB
ejpam-3408	580	33	analogues	analogue	NOUN
ejpam-3408	580	34	in	in	ADP
ejpam-3408	580	35	loop	loop	NOUN
ejpam-3408	580	36	theory	theory	NOUN
ejpam-3408	580	37	of	of	ADP
ejpam-3408	580	38	a	a	DET
ejpam-3408	580	39	number	number	NOUN
ejpam-3408	580	40	of	of	ADP
ejpam-3408	580	41	important	important	ADJ
ejpam-3408	580	42	group	group	NOUN
ejpam-3408	580	43	theoretic	theoretic	NOUN
ejpam-3408	580	44	constructions	construction	NOUN
ejpam-3408	580	45	.	.	PUNCT
ejpam-3408	581	1	in	in	ADP
ejpam-3408	581	2	1992	1992	NUM
ejpam-3408	581	3	,	,	PUNCT
ejpam-3408	581	4	vasantha	vasantha	NOUN
ejpam-3408	581	5	kandasamy	kandasamy	NOUN
ejpam-3408	581	6	[	[	X
ejpam-3408	581	7	121	121	NUM
ejpam-3408	581	8	]	]	PUNCT
ejpam-3408	581	9	introduced	introduce	VERB
ejpam-3408	581	10	a	a	DET
ejpam-3408	581	11	new	new	ADJ
ejpam-3408	581	12	notion	notion	NOUN
ejpam-3408	581	13	in	in	ADP
ejpam-3408	581	14	loop	loop	NOUN
ejpam-3408	581	15	rings	ring	NOUN
ejpam-3408	581	16	kl	kl	PROPN
ejpam-3408	581	17	called	call	VERB
ejpam-3408	581	18	normal	normal	ADJ
ejpam-3408	581	19	elements	element	NOUN
ejpam-3408	581	20	of	of	ADP
ejpam-3408	581	21	the	the	DET
ejpam-3408	581	22	loop	loop	NOUN
ejpam-3408	581	23	ring	ring	PROPN
ejpam-3408	581	24	kl	kl	PROPN
ejpam-3408	581	25	.	.	PUNCT
ejpam-3408	582	1	an	an	DET
ejpam-3408	582	2	element	element	NOUN
ejpam-3408	582	3	x	x	SYM
ejpam-3408	582	4	∈	∈	NOUN
ejpam-3408	582	5	kl	kl	NOUN
ejpam-3408	582	6	is	be	AUX
ejpam-3408	582	7	called	call	VERB
ejpam-3408	582	8	a	a	DET
ejpam-3408	582	9	normal	normal	ADJ
ejpam-3408	582	10	element	element	NOUN
ejpam-3408	582	11	of	of	ADP
ejpam-3408	582	12	kl	kl	PROPN
ejpam-3408	582	13	if	if	SCONJ
ejpam-3408	582	14	αkl	αkl	X
ejpam-3408	582	15	=	=	PUNCT
ejpam-3408	582	16	klα	klα	PROPN
ejpam-3408	582	17	.	.	PUNCT
ejpam-3408	583	1	if	if	SCONJ
ejpam-3408	583	2	every	every	DET
ejpam-3408	583	3	element	element	NOUN
ejpam-3408	583	4	of	of	ADP
ejpam-3408	583	5	kl	kl	PROPN
ejpam-3408	583	6	is	be	AUX
ejpam-3408	583	7	a	a	DET
ejpam-3408	583	8	normal	normal	ADJ
ejpam-3408	583	9	element	element	NOUN
ejpam-3408	583	10	of	of	ADP
ejpam-3408	583	11	kl	kl	PROPN
ejpam-3408	583	12	and	and	CCONJ
ejpam-3408	583	13	called	call	VERB
ejpam-3408	583	14	kl	kl	PROPN
ejpam-3408	583	15	the	the	DET
ejpam-3408	583	16	normal	normal	ADJ
ejpam-3408	583	17	loop	loop	NOUN
ejpam-3408	583	18	ring	ring	NOUN
ejpam-3408	583	19	,	,	PUNCT
ejpam-3408	583	20	also	also	ADV
ejpam-3408	583	21	defined	define	VERB
ejpam-3408	583	22	normal	normal	ADJ
ejpam-3408	583	23	sub	sub	NOUN
ejpam-3408	583	24	loop	loop	NOUN
ejpam-3408	583	25	rings	ring	NOUN
ejpam-3408	583	26	.	.	PUNCT
ejpam-3408	584	1	vasantha	vasantha	PROPN
ejpam-3408	584	2	kandasamy	kandasamy	NOUN
ejpam-3408	585	1	[	[	X
ejpam-3408	585	2	122	122	NUM
ejpam-3408	585	3	]	]	PUNCT
ejpam-3408	585	4	in	in	ADP
ejpam-3408	585	5	1994	1994	NUM
ejpam-3408	585	6	investigated	investigate	VERB
ejpam-3408	585	7	a	a	DET
ejpam-3408	585	8	notion	notion	NOUN
ejpam-3408	585	9	called	call	VERB
ejpam-3408	585	10	strict	strict	ADJ
ejpam-3408	585	11	right	right	ADJ
ejpam-3408	585	12	loop	loop	NOUN
ejpam-3408	585	13	ring	ring	NOUN
ejpam-3408	585	14	.	.	PUNCT
ejpam-3408	586	1	he	he	PRON
ejpam-3408	586	2	defined	define	VERB
ejpam-3408	586	3	that	that	SCONJ
ejpam-3408	586	4	if	if	SCONJ
ejpam-3408	586	5	l	l	NOUN
ejpam-3408	586	6	be	be	VERB
ejpam-3408	586	7	a	a	DET
ejpam-3408	586	8	loop	loop	NOUN
ejpam-3408	586	9	and	and	CCONJ
ejpam-3408	586	10	r	r	NOUN
ejpam-3408	586	11	a	a	DET
ejpam-3408	586	12	commutative	commutative	ADJ
ejpam-3408	586	13	ring	ring	NOUN
ejpam-3408	586	14	with	with	ADP
ejpam-3408	586	15	1	1	NUM
ejpam-3408	586	16	.	.	PUNCT
ejpam-3408	587	1	the	the	DET
ejpam-3408	587	2	loop	loop	NOUN
ejpam-3408	587	3	ring	ring	NOUN
ejpam-3408	587	4	rl	rl	PROPN
ejpam-3408	587	5	is	be	AUX
ejpam-3408	587	6	called	call	VERB
ejpam-3408	587	7	the	the	DET
ejpam-3408	587	8	strict	strict	ADJ
ejpam-3408	587	9	loop	loop	NOUN
ejpam-3408	587	10	ring	ring	NOUN
ejpam-3408	587	11	if	if	SCONJ
ejpam-3408	587	12	the	the	DET
ejpam-3408	587	13	set	set	NOUN
ejpam-3408	587	14	of	of	ADP
ejpam-3408	587	15	all	all	DET
ejpam-3408	587	16	ideals	ideal	NOUN
ejpam-3408	587	17	of	of	ADP
ejpam-3408	587	18	rl	rl	PROPN
ejpam-3408	587	19	is	be	AUX
ejpam-3408	587	20	ordered	order	VERB
ejpam-3408	587	21	by	by	ADP
ejpam-3408	587	22	inclusion	inclusion	NOUN
ejpam-3408	587	23	.	.	PUNCT
ejpam-3408	588	1	he	he	PRON
ejpam-3408	588	2	also	also	ADV
ejpam-3408	588	3	gave	give	VERB
ejpam-3408	588	4	a	a	DET
ejpam-3408	588	5	class	class	NOUN
ejpam-3408	588	6	of	of	ADP
ejpam-3408	588	7	loop	loop	NOUN
ejpam-3408	588	8	rings	ring	NOUN
ejpam-3408	588	9	,	,	PUNCT
ejpam-3408	588	10	which	which	PRON
ejpam-3408	588	11	were	be	AUX
ejpam-3408	588	12	not	not	PART
ejpam-3408	588	13	strict	strict	ADJ
ejpam-3408	588	14	loop	loop	NOUN
ejpam-3408	588	15	rings	ring	NOUN
ejpam-3408	588	16	.	.	PUNCT
ejpam-3408	589	1	moreover	moreover	ADV
ejpam-3408	589	2	,	,	PUNCT
ejpam-3408	589	3	goodaire	goodaire	NOUN
ejpam-3408	589	4	and	and	CCONJ
ejpam-3408	589	5	robinson	robinson	PROPN
ejpam-3408	590	1	[	[	X
ejpam-3408	590	2	72	72	NUM
ejpam-3408	590	3	]	]	PUNCT
ejpam-3408	590	4	in	in	ADP
ejpam-3408	590	5	1994	1994	NUM
ejpam-3408	590	6	exhibited	exhibit	VERB
ejpam-3408	590	7	a	a	DET
ejpam-3408	590	8	class	class	NOUN
ejpam-3408	590	9	of	of	ADP
ejpam-3408	590	10	loops	loop	NOUN
ejpam-3408	590	11	which	which	PRON
ejpam-3408	590	12	have	have	VERB
ejpam-3408	590	13	strongly	strongly	ADV
ejpam-3408	590	14	right	right	ADJ
ejpam-3408	590	15	alternative	alternative	PROPN
ejpam-3408	590	16	loop	loop	NOUN
ejpam-3408	590	17	rings	ring	NOUN
ejpam-3408	590	18	that	that	PRON
ejpam-3408	590	19	are	be	AUX
ejpam-3408	590	20	not	not	PART
ejpam-3408	590	21	alternative	alternative	ADJ
ejpam-3408	590	22	.	.	PUNCT
ejpam-3408	591	1	and	and	CCONJ
ejpam-3408	591	2	they	they	PRON
ejpam-3408	591	3	also	also	ADV
ejpam-3408	591	4	proved	prove	VERB
ejpam-3408	591	5	fundamental	fundamental	ADJ
ejpam-3408	591	6	propositions	proposition	NOUN
ejpam-3408	591	7	a.	a.	NOUN
ejpam-3408	591	8	razzaque	razzaque	NOUN
ejpam-3408	591	9	et	et	PROPN
ejpam-3408	591	10	al	al	PROPN
ejpam-3408	591	11	.	.	PUNCT
ejpam-3408	591	12	/	/	SYM
ejpam-3408	591	13	eur	eur	PROPN
ejpam-3408	591	14	.	.	PUNCT
ejpam-3408	592	1	j.	j.	PROPN
ejpam-3408	592	2	pure	pure	PROPN
ejpam-3408	592	3	appl	appl	PROPN
ejpam-3408	592	4	.	.	PROPN
ejpam-3408	592	5	math	math	PROPN
ejpam-3408	592	6	,	,	PUNCT
ejpam-3408	592	7	12	12	NUM
ejpam-3408	592	8	(	(	PUNCT
ejpam-3408	592	9	2	2	NUM
ejpam-3408	592	10	)	)	PUNCT
ejpam-3408	592	11	(	(	PUNCT
ejpam-3408	592	12	2019	2019	NUM
ejpam-3408	592	13	)	)	PUNCT
ejpam-3408	592	14	,	,	PUNCT
ejpam-3408	592	15	370	370	NUM
ejpam-3408	592	16	-	-	SYM
ejpam-3408	592	17	408	408	NUM
ejpam-3408	592	18	388	388	NUM
ejpam-3408	592	19	which	which	PRON
ejpam-3408	592	20	generalized	generalize	VERB
ejpam-3408	592	21	the	the	DET
ejpam-3408	592	22	necessary	necessary	ADJ
ejpam-3408	592	23	and	and	CCONJ
ejpam-3408	592	24	sufficient	sufficient	ADJ
ejpam-3408	592	25	conditions	condition	NOUN
ejpam-3408	592	26	for	for	SCONJ
ejpam-3408	592	27	a	a	DET
ejpam-3408	592	28	loop	loop	NOUN
ejpam-3408	592	29	to	to	PART
ejpam-3408	592	30	have	have	VERB
ejpam-3408	592	31	a	a	DET
ejpam-3408	592	32	strongly	strongly	ADV
ejpam-3408	592	33	right	right	ADJ
ejpam-3408	592	34	alternative	alternative	ADJ
ejpam-3408	592	35	loop	loop	NOUN
ejpam-3408	592	36	ring	ring	NOUN
ejpam-3408	592	37	.	.	PUNCT
ejpam-3408	593	1	beside	beside	ADP
ejpam-3408	593	2	this	this	PRON
ejpam-3408	593	3	in	in	ADP
ejpam-3408	593	4	1995	1995	NUM
ejpam-3408	593	5	,	,	PUNCT
ejpam-3408	593	6	vasantha	vasantha	NOUN
ejpam-3408	593	7	kandasamy	kandasamy	NOUN
ejpam-3408	593	8	[	[	X
ejpam-3408	593	9	123	123	NUM
ejpam-3408	593	10	]	]	PUNCT
ejpam-3408	593	11	studied	study	VERB
ejpam-3408	593	12	the	the	DET
ejpam-3408	593	13	mod	mod	PROPN
ejpam-3408	593	14	p	p	PROPN
ejpam-3408	593	15	envelope	envelope	NOUN
ejpam-3408	593	16	of	of	ADP
ejpam-3408	593	17	associative	associative	ADJ
ejpam-3408	593	18	structure	structure	NOUN
ejpam-3408	593	19	.	.	PUNCT
ejpam-3408	594	1	he	he	PRON
ejpam-3408	594	2	discussed	discuss	VERB
ejpam-3408	594	3	the	the	DET
ejpam-3408	594	4	case	case	NOUN
ejpam-3408	594	5	of	of	ADP
ejpam-3408	594	6	non	non	ADJ
ejpam-3408	594	7	-	-	ADJ
ejpam-3408	594	8	associative	associative	ADJ
ejpam-3408	594	9	groups	group	NOUN
ejpam-3408	594	10	which	which	PRON
ejpam-3408	594	11	were	be	AUX
ejpam-3408	594	12	loops	loop	NOUN
ejpam-3408	594	13	.	.	PUNCT
ejpam-3408	595	1	that	that	PRON
ejpam-3408	595	2	is	be	AUX
ejpam-3408	595	3	in	in	ADP
ejpam-3408	595	4	his	his	PRON
ejpam-3408	595	5	study	study	NOUN
ejpam-3408	595	6	he	he	PRON
ejpam-3408	595	7	replaced	replace	VERB
ejpam-3408	595	8	groups	group	NOUN
ejpam-3408	595	9	by	by	ADP
ejpam-3408	595	10	loops	loop	NOUN
ejpam-3408	595	11	.	.	PUNCT
ejpam-3408	596	1	again	again	ADV
ejpam-3408	596	2	in	in	ADP
ejpam-3408	596	3	1995	1995	NUM
ejpam-3408	596	4	,	,	PUNCT
ejpam-3408	596	5	goodaire	goodaire	NOUN
ejpam-3408	596	6	and	and	CCONJ
ejpam-3408	596	7	milies	milie	NOUN
ejpam-3408	596	8	[	[	X
ejpam-3408	596	9	65	65	NUM
ejpam-3408	596	10	]	]	X
ejpam-3408	596	11	further	far	ADV
ejpam-3408	596	12	generalized	generalize	VERB
ejpam-3408	596	13	and	and	CCONJ
ejpam-3408	596	14	discussed	discuss	VERB
ejpam-3408	596	15	few	few	ADJ
ejpam-3408	596	16	examples	example	NOUN
ejpam-3408	596	17	of	of	ADP
ejpam-3408	596	18	moufang	moufang	PROPN
ejpam-3408	596	19	loops	loop	NOUN
ejpam-3408	596	20	whose	whose	DET
ejpam-3408	596	21	loop	loop	NOUN
ejpam-3408	596	22	rings	ring	NOUN
ejpam-3408	596	23	are	be	AUX
ejpam-3408	596	24	alternative	alternative	ADJ
ejpam-3408	596	25	,	,	PUNCT
ejpam-3408	596	26	but	but	CCONJ
ejpam-3408	596	27	not	not	PART
ejpam-3408	596	28	associative	associative	VERB
ejpam-3408	596	29	[	[	X
ejpam-3408	596	30	57	57	NUM
ejpam-3408	596	31	]	]	PUNCT
ejpam-3408	596	32	.	.	PUNCT
ejpam-3408	597	1	since	since	SCONJ
ejpam-3408	597	2	that	that	DET
ejpam-3408	597	3	time	time	NOUN
ejpam-3408	597	4	,	,	PUNCT
ejpam-3408	597	5	there	there	PRON
ejpam-3408	597	6	had	have	AUX
ejpam-3408	597	7	been	be	AUX
ejpam-3408	597	8	a	a	DET
ejpam-3408	597	9	great	great	ADJ
ejpam-3408	597	10	deal	deal	NOUN
ejpam-3408	597	11	of	of	ADP
ejpam-3408	597	12	work	work	NOUN
ejpam-3408	597	13	devoted	devote	VERB
ejpam-3408	597	14	to	to	ADP
ejpam-3408	597	15	the	the	DET
ejpam-3408	597	16	study	study	NOUN
ejpam-3408	597	17	of	of	ADP
ejpam-3408	597	18	such	such	ADJ
ejpam-3408	597	19	loops	loop	NOUN
ejpam-3408	597	20	and	and	CCONJ
ejpam-3408	597	21	to	to	ADP
ejpam-3408	597	22	their	their	PRON
ejpam-3408	597	23	loop	loop	NOUN
ejpam-3408	597	24	rings	ring	NOUN
ejpam-3408	597	25	.	.	PUNCT
ejpam-3408	598	1	in	in	ADP
ejpam-3408	598	2	their	their	PRON
ejpam-3408	598	3	paper	paper	NOUN
ejpam-3408	598	4	authors	author	NOUN
ejpam-3408	598	5	gave	give	VERB
ejpam-3408	598	6	a	a	DET
ejpam-3408	598	7	brief	brief	ADJ
ejpam-3408	598	8	discussion	discussion	NOUN
ejpam-3408	598	9	of	of	ADP
ejpam-3408	598	10	those	those	DET
ejpam-3408	598	11	loops	loop	NOUN
ejpam-3408	598	12	whose	whose	DET
ejpam-3408	598	13	loop	loop	NOUN
ejpam-3408	598	14	rings	ring	NOUN
ejpam-3408	598	15	are	be	AUX
ejpam-3408	598	16	alternative	alternative	ADJ
ejpam-3408	598	17	.	.	PUNCT
ejpam-3408	599	1	in	in	ADP
ejpam-3408	599	2	1996	1996	NUM
ejpam-3408	599	3	,	,	PUNCT
ejpam-3408	599	4	goodaire	goodaire	NOUN
ejpam-3408	599	5	and	and	CCONJ
ejpam-3408	599	6	milies	milie	NOUN
ejpam-3408	599	7	[	[	X
ejpam-3408	599	8	66	66	NUM
ejpam-3408	599	9	]	]	PUNCT
ejpam-3408	599	10	considered	consider	VERB
ejpam-3408	599	11	an	an	DET
ejpam-3408	599	12	ra	ra	PROPN
ejpam-3408	599	13	loop	loop	NOUN
ejpam-3408	599	14	is	be	AUX
ejpam-3408	599	15	a	a	DET
ejpam-3408	599	16	loop	loop	NOUN
ejpam-3408	599	17	whose	whose	DET
ejpam-3408	599	18	loop	loop	NOUN
ejpam-3408	599	19	rings	ring	NOUN
ejpam-3408	599	20	,	,	PUNCT
ejpam-3408	599	21	in	in	ADP
ejpam-3408	599	22	characteristic	characteristic	ADJ
ejpam-3408	599	23	different	different	ADV
ejpam-3408	599	24	from	from	ADP
ejpam-3408	599	25	2	2	NUM
ejpam-3408	599	26	,	,	PUNCT
ejpam-3408	599	27	are	be	AUX
ejpam-3408	599	28	alternative	alternative	ADJ
ejpam-3408	599	29	but	but	CCONJ
ejpam-3408	599	30	not	not	PART
ejpam-3408	599	31	associative	associative	ADJ
ejpam-3408	599	32	.	.	PUNCT
ejpam-3408	600	1	moreover	moreover	ADV
ejpam-3408	600	2	,	,	PUNCT
ejpam-3408	600	3	authors	author	NOUN
ejpam-3408	600	4	showed	show	VERB
ejpam-3408	600	5	that	that	SCONJ
ejpam-3408	600	6	every	every	DET
ejpam-3408	600	7	finite	finite	ADJ
ejpam-3408	600	8	sub	sub	ADJ
ejpam-3408	600	9	-	-	ADJ
ejpam-3408	600	10	loop	loop	ADJ
ejpam-3408	600	11	h	h	NOUN
ejpam-3408	600	12	of	of	ADP
ejpam-3408	600	13	normalized	normalize	VERB
ejpam-3408	600	14	units	unit	NOUN
ejpam-3408	600	15	in	in	ADP
ejpam-3408	600	16	the	the	DET
ejpam-3408	600	17	integral	integral	ADJ
ejpam-3408	600	18	loop	loop	NOUN
ejpam-3408	600	19	ring	ring	NOUN
ejpam-3408	600	20	of	of	ADP
ejpam-3408	600	21	an	an	DET
ejpam-3408	600	22	ra	ra	PROPN
ejpam-3408	600	23	loop	loop	PROPN
ejpam-3408	600	24	l	l	PROPN
ejpam-3408	600	25	is	be	AUX
ejpam-3408	600	26	isomorphic	isomorphic	ADJ
ejpam-3408	600	27	to	to	ADP
ejpam-3408	600	28	a	a	DET
ejpam-3408	600	29	sub	sub	NOUN
ejpam-3408	600	30	-	-	NOUN
ejpam-3408	600	31	loop	loop	NOUN
ejpam-3408	600	32	of	of	ADP
ejpam-3408	600	33	l.	l.	NOUN
ejpam-3408	600	34	they	they	PRON
ejpam-3408	600	35	also	also	ADV
ejpam-3408	600	36	showed	show	VERB
ejpam-3408	600	37	that	that	SCONJ
ejpam-3408	600	38	there	there	PRON
ejpam-3408	600	39	exist	exist	VERB
ejpam-3408	600	40	units	unit	NOUN
ejpam-3408	600	41	in	in	ADP
ejpam-3408	600	42	the	the	DET
ejpam-3408	600	43	rational	rational	ADJ
ejpam-3408	600	44	loop	loop	NOUN
ejpam-3408	600	45	algebra	algebra	NOUN
ejpam-3408	600	46	.	.	PUNCT
ejpam-3408	601	1	thus	thus	ADV
ejpam-3408	601	2	,	,	PUNCT
ejpam-3408	601	3	a	a	DET
ejpam-3408	601	4	conjecture	conjecture	NOUN
ejpam-3408	601	5	of	of	ADP
ejpam-3408	601	6	zassenhaus	zassenhaus	NOUN
ejpam-3408	601	7	which	which	PRON
ejpam-3408	601	8	was	be	AUX
ejpam-3408	601	9	open	open	ADJ
ejpam-3408	601	10	for	for	ADP
ejpam-3408	601	11	group	group	NOUN
ejpam-3408	601	12	rings	ring	NOUN
ejpam-3408	601	13	holds	hold	VERB
ejpam-3408	601	14	for	for	ADP
ejpam-3408	601	15	alternative	alternative	ADJ
ejpam-3408	601	16	loop	loop	NOUN
ejpam-3408	601	17	rings	ring	NOUN
ejpam-3408	601	18	(	(	PUNCT
ejpam-3408	601	19	which	which	PRON
ejpam-3408	601	20	were	be	AUX
ejpam-3408	601	21	not	not	PART
ejpam-3408	601	22	associative	associative	ADJ
ejpam-3408	601	23	)	)	PUNCT
ejpam-3408	601	24	.	.	PUNCT
ejpam-3408	602	1	in	in	ADP
ejpam-3408	602	2	addition	addition	NOUN
ejpam-3408	602	3	to	to	ADP
ejpam-3408	602	4	this	this	DET
ejpam-3408	602	5	goodaire	goodaire	NOUN
ejpam-3408	602	6	and	and	CCONJ
ejpam-3408	602	7	robinson	robinson	PROPN
ejpam-3408	602	8	[	[	X
ejpam-3408	602	9	73	73	NUM
ejpam-3408	602	10	]	]	PUNCT
ejpam-3408	602	11	in	in	ADP
ejpam-3408	602	12	1996	1996	NUM
ejpam-3408	602	13	proposed	propose	VERB
ejpam-3408	602	14	the	the	DET
ejpam-3408	602	15	construction	construction	NOUN
ejpam-3408	602	16	of	of	ADP
ejpam-3408	602	17	loops	loop	NOUN
ejpam-3408	602	18	l	l	NOUN
ejpam-3408	602	19	which	which	PRON
ejpam-3408	602	20	have	have	VERB
ejpam-3408	602	21	right	right	ADJ
ejpam-3408	602	22	alternative	alternative	PROPN
ejpam-3408	602	23	loop	loop	NOUN
ejpam-3408	602	24	rings	ring	NOUN
ejpam-3408	602	25	rl	rl	PROPN
ejpam-3408	602	26	which	which	PRON
ejpam-3408	602	27	were	be	AUX
ejpam-3408	602	28	not	not	PART
ejpam-3408	602	29	left	leave	VERB
ejpam-3408	602	30	alternative	alternative	NOUN
ejpam-3408	602	31	.	.	PUNCT
ejpam-3408	603	1	the	the	DET
ejpam-3408	603	2	construction	construction	NOUN
ejpam-3408	603	3	generated	generate	VERB
ejpam-3408	603	4	loop	loop	NOUN
ejpam-3408	603	5	rings	ring	NOUN
ejpam-3408	603	6	rl	rl	PROPN
ejpam-3408	603	7	which	which	PRON
ejpam-3408	603	8	are	be	AUX
ejpam-3408	603	9	bol	bol	NOUN
ejpam-3408	603	10	and	and	CCONJ
ejpam-3408	603	11	hence	hence	ADV
ejpam-3408	603	12	,	,	PUNCT
ejpam-3408	603	13	right	right	ADJ
ejpam-3408	603	14	alternative	alternative	NOUN
ejpam-3408	603	15	merely	merely	ADV
ejpam-3408	603	16	set	set	VERB
ejpam-3408	603	17	z	z	NOUN
ejpam-3408	603	18	=	=	SYM
ejpam-3408	603	19	1e	1e	NOUN
ejpam-3408	603	20	in	in	ADP
ejpam-3408	603	21	the	the	DET
ejpam-3408	603	22	bol	bol	NOUN
ejpam-3408	603	23	identity	identity	NOUN
ejpam-3408	603	24	(	(	PUNCT
ejpam-3408	603	25	xy.z)y	xy.z)y	PROPN
ejpam-3408	603	26	=	=	SYM
ejpam-3408	603	27	x(yz.y	x(yz.y	PROPN
ejpam-3408	603	28	)	)	PUNCT
ejpam-3408	603	29	.	.	PUNCT
ejpam-3408	604	1	such	such	ADJ
ejpam-3408	604	2	loop	loop	NOUN
ejpam-3408	604	3	rings	ring	NOUN
ejpam-3408	604	4	are	be	AUX
ejpam-3408	604	5	called	call	VERB
ejpam-3408	604	6	strongly	strongly	ADV
ejpam-3408	604	7	right	right	ADJ
ejpam-3408	604	8	alternative	alternative	NOUN
ejpam-3408	604	9	as	as	SCONJ
ejpam-3408	604	10	they	they	PRON
ejpam-3408	604	11	satisfied	satisfy	VERB
ejpam-3408	604	12	the	the	DET
ejpam-3408	604	13	more	more	ADV
ejpam-3408	604	14	stringent	stringent	ADJ
ejpam-3408	604	15	condition	condition	NOUN
ejpam-3408	604	16	.	.	PUNCT
ejpam-3408	605	1	barros	barro	NOUN
ejpam-3408	605	2	and	and	CCONJ
ejpam-3408	605	3	juriaans	juriaan	NOUN
ejpam-3408	605	4	[	[	X
ejpam-3408	605	5	37	37	NUM
ejpam-3408	605	6	]	]	PUNCT
ejpam-3408	605	7	in	in	ADP
ejpam-3408	605	8	1996	1996	NUM
ejpam-3408	605	9	discussed	discuss	VERB
ejpam-3408	605	10	that	that	SCONJ
ejpam-3408	605	11	higman	higman	NOUN
ejpam-3408	605	12	has	have	AUX
ejpam-3408	605	13	proved	prove	VERB
ejpam-3408	605	14	a	a	DET
ejpam-3408	605	15	classical	classical	ADJ
ejpam-3408	605	16	result	result	NOUN
ejpam-3408	605	17	giving	give	VERB
ejpam-3408	605	18	necessary	necessary	ADJ
ejpam-3408	605	19	and	and	CCONJ
ejpam-3408	605	20	sufficient	sufficient	ADJ
ejpam-3408	605	21	conditions	condition	NOUN
ejpam-3408	605	22	for	for	ADP
ejpam-3408	605	23	the	the	DET
ejpam-3408	605	24	units	unit	NOUN
ejpam-3408	605	25	of	of	ADP
ejpam-3408	605	26	an	an	DET
ejpam-3408	605	27	integral	integral	ADJ
ejpam-3408	605	28	group	group	NOUN
ejpam-3408	605	29	ring	ring	NOUN
ejpam-3408	605	30	to	to	PART
ejpam-3408	605	31	be	be	AUX
ejpam-3408	605	32	trivial	trivial	ADJ
ejpam-3408	605	33	.	.	PUNCT
ejpam-3408	606	1	in	in	ADP
ejpam-3408	606	2	this	this	DET
ejpam-3408	606	3	paper	paper	NOUN
ejpam-3408	606	4	authors	author	NOUN
ejpam-3408	606	5	extended	extend	VERB
ejpam-3408	606	6	this	this	DET
ejpam-3408	606	7	result	result	NOUN
ejpam-3408	606	8	to	to	ADP
ejpam-3408	606	9	a	a	DET
ejpam-3408	606	10	bigger	big	ADJ
ejpam-3408	606	11	class	class	NOUN
ejpam-3408	606	12	of	of	ADP
ejpam-3408	606	13	diassociative	diassociative	NOUN
ejpam-3408	606	14	loops	loop	NOUN
ejpam-3408	606	15	which	which	PRON
ejpam-3408	606	16	includes	include	VERB
ejpam-3408	606	17	abelian	abelian	ADJ
ejpam-3408	606	18	groups	group	NOUN
ejpam-3408	606	19	,	,	PUNCT
ejpam-3408	606	20	groups	group	NOUN
ejpam-3408	606	21	with	with	ADP
ejpam-3408	606	22	a	a	DET
ejpam-3408	606	23	unique	unique	ADJ
ejpam-3408	606	24	non	non	ADJ
ejpam-3408	606	25	-	-	ADJ
ejpam-3408	606	26	identity	identity	ADJ
ejpam-3408	606	27	commutator	commutator	NOUN
ejpam-3408	606	28	,	,	PUNCT
ejpam-3408	606	29	ra	ra	PROPN
ejpam-3408	606	30	loops	loop	NOUN
ejpam-3408	606	31	,	,	PUNCT
ejpam-3408	606	32	and	and	CCONJ
ejpam-3408	606	33	other	other	ADJ
ejpam-3408	606	34	classes	class	NOUN
ejpam-3408	606	35	of	of	ADP
ejpam-3408	606	36	loops	loop	NOUN
ejpam-3408	606	37	.	.	PUNCT
ejpam-3408	607	1	again	again	ADV
ejpam-3408	607	2	in	in	ADP
ejpam-3408	607	3	1997	1997	NUM
ejpam-3408	607	4	,	,	PUNCT
ejpam-3408	607	5	barros	barros	PROPN
ejpam-3408	607	6	and	and	CCONJ
ejpam-3408	607	7	juriaans	juriaan	NOUN
ejpam-3408	607	8	[	[	X
ejpam-3408	607	9	38	38	NUM
ejpam-3408	607	10	]	]	PUNCT
ejpam-3408	607	11	proved	prove	VERB
ejpam-3408	607	12	the	the	DET
ejpam-3408	607	13	isomorphism	isomorphism	NOUN
ejpam-3408	607	14	problem	problem	NOUN
ejpam-3408	607	15	for	for	ADP
ejpam-3408	607	16	integral	integral	ADJ
ejpam-3408	607	17	loop	loop	NOUN
ejpam-3408	607	18	rings	ring	NOUN
ejpam-3408	607	19	of	of	ADP
ejpam-3408	607	20	finitely	finitely	ADV
ejpam-3408	607	21	generated	generate	VERB
ejpam-3408	607	22	ra	ra	PROPN
ejpam-3408	607	23	loops	loop	NOUN
ejpam-3408	607	24	using	use	VERB
ejpam-3408	607	25	a	a	DET
ejpam-3408	607	26	decomposition	decomposition	NOUN
ejpam-3408	607	27	of	of	ADP
ejpam-3408	607	28	the	the	DET
ejpam-3408	607	29	loop	loop	NOUN
ejpam-3408	607	30	of	of	ADP
ejpam-3408	607	31	units	unit	NOUN
ejpam-3408	607	32	.	.	PUNCT
ejpam-3408	608	1	also	also	ADV
ejpam-3408	608	2	they	they	PRON
ejpam-3408	608	3	described	describe	VERB
ejpam-3408	608	4	the	the	DET
ejpam-3408	608	5	finitely	finitely	ADV
ejpam-3408	608	6	generated	generate	VERB
ejpam-3408	608	7	ra	ra	PROPN
ejpam-3408	608	8	loops	loop	NOUN
ejpam-3408	608	9	whose	whose	DET
ejpam-3408	608	10	loops	loop	NOUN
ejpam-3408	608	11	of	of	ADP
ejpam-3408	608	12	units	unit	NOUN
ejpam-3408	608	13	satisfy	satisfy	VERB
ejpam-3408	608	14	a	a	DET
ejpam-3408	608	15	certain	certain	ADJ
ejpam-3408	608	16	property	property	NOUN
ejpam-3408	608	17	.	.	PUNCT
ejpam-3408	609	1	in	in	ADP
ejpam-3408	609	2	1998	1998	NUM
ejpam-3408	609	3	,	,	PUNCT
ejpam-3408	609	4	kunen	kunen	PROPN
ejpam-3408	610	1	[	[	X
ejpam-3408	610	2	151	151	NUM
ejpam-3408	610	3	]	]	PUNCT
ejpam-3408	610	4	discussed	discuss	VERB
ejpam-3408	610	5	that	that	SCONJ
ejpam-3408	610	6	the	the	DET
ejpam-3408	610	7	right	right	ADJ
ejpam-3408	610	8	alternative	alternative	ADJ
ejpam-3408	610	9	law	law	NOUN
ejpam-3408	610	10	implies	imply	VERB
ejpam-3408	610	11	the	the	DET
ejpam-3408	610	12	left	left	ADJ
ejpam-3408	610	13	alternative	alternative	ADJ
ejpam-3408	610	14	law	law	NOUN
ejpam-3408	610	15	in	in	ADP
ejpam-3408	610	16	loop	loop	NOUN
ejpam-3408	610	17	rings	ring	NOUN
ejpam-3408	610	18	of	of	ADP
ejpam-3408	610	19	characteristic	characteristic	ADJ
ejpam-3408	610	20	other	other	ADJ
ejpam-3408	610	21	than	than	ADP
ejpam-3408	610	22	2	2	NUM
ejpam-3408	610	23	.	.	PUNCT
ejpam-3408	611	1	he	he	PRON
ejpam-3408	611	2	also	also	ADV
ejpam-3408	611	3	exhibited	exhibit	VERB
ejpam-3408	611	4	a	a	DET
ejpam-3408	611	5	loop	loop	NOUN
ejpam-3408	611	6	which	which	PRON
ejpam-3408	611	7	failed	fail	VERB
ejpam-3408	611	8	to	to	PART
ejpam-3408	611	9	be	be	AUX
ejpam-3408	611	10	right	right	ADJ
ejpam-3408	611	11	bol	bol	NOUN
ejpam-3408	611	12	loop	loop	NOUN
ejpam-3408	611	13	,	,	PUNCT
ejpam-3408	611	14	even	even	ADV
ejpam-3408	611	15	though	though	SCONJ
ejpam-3408	611	16	its	its	PRON
ejpam-3408	611	17	characteristic	characteristic	ADJ
ejpam-3408	611	18	2	2	NUM
ejpam-3408	611	19	loop	loop	NOUN
ejpam-3408	611	20	rings	ring	NOUN
ejpam-3408	611	21	are	be	AUX
ejpam-3408	611	22	right	right	ADJ
ejpam-3408	611	23	alternative	alternative	NOUN
ejpam-3408	611	24	.	.	PUNCT
ejpam-3408	612	1	also	also	ADV
ejpam-3408	612	2	in	in	ADP
ejpam-3408	612	3	1999	1999	NUM
ejpam-3408	612	4	,	,	PUNCT
ejpam-3408	612	5	goodaire	goodaire	VERB
ejpam-3408	613	1	[	[	X
ejpam-3408	613	2	58	58	NUM
ejpam-3408	613	3	]	]	PUNCT
ejpam-3408	613	4	sketched	sketch	VERB
ejpam-3408	613	5	the	the	DET
ejpam-3408	613	6	brief	brief	ADJ
ejpam-3408	613	7	history	history	NOUN
ejpam-3408	613	8	of	of	ADP
ejpam-3408	613	9	loop	loop	NOUN
ejpam-3408	613	10	rings	ring	NOUN
ejpam-3408	613	11	which	which	PRON
ejpam-3408	613	12	were	be	AUX
ejpam-3408	613	13	not	not	PART
ejpam-3408	613	14	associative	associative	ADJ
ejpam-3408	613	15	from	from	ADP
ejpam-3408	613	16	early	early	ADJ
ejpam-3408	613	17	results	result	NOUN
ejpam-3408	613	18	of	of	ADP
ejpam-3408	613	19	bruck	bruck	NOUN
ejpam-3408	613	20	and	and	CCONJ
ejpam-3408	613	21	paige	paige	NOUN
ejpam-3408	613	22	through	through	ADP
ejpam-3408	613	23	the	the	DET
ejpam-3408	613	24	more	more	ADV
ejpam-3408	613	25	recent	recent	ADJ
ejpam-3408	613	26	discovery	discovery	NOUN
ejpam-3408	613	27	of	of	ADP
ejpam-3408	613	28	alternative	alternative	ADJ
ejpam-3408	613	29	and	and	CCONJ
ejpam-3408	613	30	right	right	ADJ
ejpam-3408	613	31	alternative	alternative	ADJ
ejpam-3408	613	32	rings	ring	NOUN
ejpam-3408	613	33	and	and	CCONJ
ejpam-3408	613	34	the	the	DET
ejpam-3408	613	35	work	work	NOUN
ejpam-3408	613	36	of	of	ADP
ejpam-3408	613	37	chein	chein	ADJ
ejpam-3408	613	38	,	,	PUNCT
ejpam-3408	613	39	robinson	robinson	PROPN
ejpam-3408	613	40	and	and	CCONJ
ejpam-3408	613	41	by	by	ADP
ejpam-3408	613	42	the	the	DET
ejpam-3408	613	43	goodaire	goodaire	NOUN
ejpam-3408	613	44	.	.	PUNCT
ejpam-3408	614	1	in	in	ADP
ejpam-3408	614	2	2001	2001	NUM
ejpam-3408	614	3	,	,	PUNCT
ejpam-3408	614	4	bhandari	bhandari	NOUN
ejpam-3408	614	5	and	and	CCONJ
ejpam-3408	614	6	kaila	kaila	PROPN
ejpam-3408	614	7	[	[	X
ejpam-3408	614	8	11	11	NUM
ejpam-3408	614	9	]	]	PUNCT
ejpam-3408	614	10	observed	observe	VERB
ejpam-3408	614	11	that	that	SCONJ
ejpam-3408	614	12	the	the	DET
ejpam-3408	614	13	additive	additive	NOUN
ejpam-3408	614	14	as	as	ADV
ejpam-3408	614	15	well	well	ADV
ejpam-3408	614	16	as	as	ADP
ejpam-3408	614	17	multiplicative	multiplicative	PROPN
ejpam-3408	614	18	jordan	jordan	PROPN
ejpam-3408	614	19	decompositions	decompositions	PROPN
ejpam-3408	614	20	hold	hold	VERB
ejpam-3408	614	21	in	in	ADP
ejpam-3408	614	22	alternative	alternative	ADJ
ejpam-3408	614	23	loop	loop	NOUN
ejpam-3408	614	24	algebras	algebra	NOUN
ejpam-3408	614	25	of	of	ADP
ejpam-3408	614	26	finite	finite	PROPN
ejpam-3408	614	27	ra	ra	PROPN
ejpam-3408	614	28	loops	loop	NOUN
ejpam-3408	614	29	and	and	CCONJ
ejpam-3408	614	30	the	the	DET
ejpam-3408	614	31	ra	ra	PROPN
ejpam-3408	614	32	loops	loop	NOUN
ejpam-3408	614	33	for	for	ADP
ejpam-3408	614	34	which	which	PRON
ejpam-3408	614	35	the	the	DET
ejpam-3408	614	36	additive	additive	ADJ
ejpam-3408	614	37	jordan	jordan	PROPN
ejpam-3408	614	38	decomposition	decomposition	NOUN
ejpam-3408	614	39	holds	hold	VERB
ejpam-3408	614	40	in	in	ADP
ejpam-3408	614	41	the	the	DET
ejpam-3408	614	42	integral	integral	ADJ
ejpam-3408	614	43	loop	loop	NOUN
ejpam-3408	614	44	ring	ring	NOUN
ejpam-3408	614	45	were	be	AUX
ejpam-3408	614	46	characterized	characterize	VERB
ejpam-3408	614	47	.	.	PUNCT
ejpam-3408	615	1	multiplicative	multiplicative	PROPN
ejpam-3408	615	2	jordan	jordan	PROPN
ejpam-3408	615	3	decomposition	decomposition	PROPN
ejpam-3408	615	4	(	(	PUNCT
ejpam-3408	615	5	mjd	mjd	PROPN
ejpam-3408	615	6	)	)	PUNCT
ejpam-3408	615	7	in	in	ADP
ejpam-3408	615	8	zl	zl	PROPN
ejpam-3408	615	9	,	,	PUNCT
ejpam-3408	615	10	where	where	SCONJ
ejpam-3408	615	11	l	l	NOUN
ejpam-3408	615	12	is	be	AUX
ejpam-3408	615	13	a	a	DET
ejpam-3408	615	14	finite	finite	ADJ
ejpam-3408	615	15	ra	ra	PROPN
ejpam-3408	615	16	loop	loop	NOUN
ejpam-3408	615	17	with	with	ADP
ejpam-3408	615	18	cyclic	cyclic	ADJ
ejpam-3408	615	19	centre	centre	NOUN
ejpam-3408	615	20	is	be	AUX
ejpam-3408	615	21	analyzed	analyze	VERB
ejpam-3408	615	22	,	,	PUNCT
ejpam-3408	615	23	besides	besides	SCONJ
ejpam-3408	615	24	settling	settle	VERB
ejpam-3408	615	25	mjd	mjd	PROPN
ejpam-3408	615	26	for	for	ADP
ejpam-3408	615	27	integral	integral	ADJ
ejpam-3408	615	28	loop	loop	NOUN
ejpam-3408	615	29	rings	ring	NOUN
ejpam-3408	615	30	of	of	ADP
ejpam-3408	615	31	all	all	DET
ejpam-3408	615	32	ra	ra	PROPN
ejpam-3408	615	33	loops	loop	NOUN
ejpam-3408	615	34	of	of	ADP
ejpam-3408	615	35	order	order	NOUN
ejpam-3408	615	36	≤	≤	ADV
ejpam-3408	615	37	32	32	NUM
ejpam-3408	615	38	.	.	PUNCT
ejpam-3408	616	1	it	it	PRON
ejpam-3408	616	2	was	be	AUX
ejpam-3408	616	3	also	also	ADV
ejpam-3408	616	4	shown	show	VERB
ejpam-3408	616	5	that	that	SCONJ
ejpam-3408	616	6	for	for	ADP
ejpam-3408	616	7	any	any	DET
ejpam-3408	616	8	finite	finite	PROPN
ejpam-3408	616	9	ra	ra	PROPN
ejpam-3408	616	10	loop	loop	PROPN
ejpam-3408	616	11	l	l	PROPN
ejpam-3408	616	12	,	,	PUNCT
ejpam-3408	616	13	µ(zl	µ(zl	X
ejpam-3408	616	14	)	)	PUNCT
ejpam-3408	616	15	is	be	AUX
ejpam-3408	616	16	an	an	DET
ejpam-3408	616	17	almost	almost	ADV
ejpam-3408	616	18	splittable	splittable	ADJ
ejpam-3408	616	19	moufang	moufang	PROPN
ejpam-3408	616	20	loop	loop	NOUN
ejpam-3408	616	21	.	.	PUNCT
ejpam-3408	617	1	again	again	ADV
ejpam-3408	617	2	in	in	ADP
ejpam-3408	617	3	2001	2001	NUM
ejpam-3408	617	4	,	,	PUNCT
ejpam-3408	617	5	goodaire	goodaire	NOUN
ejpam-3408	617	6	and	and	CCONJ
ejpam-3408	617	7	milies	milie	NOUN
ejpam-3408	617	8	[	[	X
ejpam-3408	617	9	67	67	NUM
ejpam-3408	617	10	]	]	PUNCT
ejpam-3408	617	11	considered	consider	VERB
ejpam-3408	617	12	l	l	NOUN
ejpam-3408	617	13	be	be	AUX
ejpam-3408	617	14	an	an	DET
ejpam-3408	617	15	ra	ra	PROPN
ejpam-3408	617	16	loop	loop	NOUN
ejpam-3408	617	17	,	,	PUNCT
ejpam-3408	617	18	that	that	PRON
ejpam-3408	617	19	is	be	AUX
ejpam-3408	617	20	a	a	DET
ejpam-3408	617	21	loop	loop	NOUN
ejpam-3408	617	22	whose	whose	DET
ejpam-3408	617	23	loop	loop	NOUN
ejpam-3408	617	24	ring	ring	NOUN
ejpam-3408	617	25	in	in	ADP
ejpam-3408	617	26	any	any	DET
ejpam-3408	617	27	characteristic	characteristic	NOUN
ejpam-3408	617	28	is	be	AUX
ejpam-3408	617	29	an	an	DET
ejpam-3408	617	30	alternative	alternative	NOUN
ejpam-3408	617	31	,	,	PUNCT
ejpam-3408	617	32	but	but	CCONJ
ejpam-3408	617	33	not	not	PART
ejpam-3408	617	34	associative	associative	ADJ
ejpam-3408	617	35	ring	ring	NOUN
ejpam-3408	617	36	.	.	PUNCT
ejpam-3408	618	1	they	they	PRON
ejpam-3408	618	2	also	also	ADV
ejpam-3408	618	3	investigated	investigate	VERB
ejpam-3408	618	4	necessary	necessary	ADJ
ejpam-3408	618	5	and	and	CCONJ
ejpam-3408	618	6	sufficient	sufficient	ADJ
ejpam-3408	618	7	conditions	condition	NOUN
ejpam-3408	618	8	for	for	SCONJ
ejpam-3408	618	9	the	the	DET
ejpam-3408	618	10	(	(	PUNCT
ejpam-3408	618	11	moufang	moufang	PROPN
ejpam-3408	618	12	)	)	PUNCT
ejpam-3408	618	13	unit	unit	NOUN
ejpam-3408	618	14	loop	loop	NOUN
ejpam-3408	618	15	of	of	ADP
ejpam-3408	618	16	rl	rl	PRON
ejpam-3408	618	17	to	to	PART
ejpam-3408	618	18	be	be	AUX
ejpam-3408	618	19	solvable	solvable	ADJ
ejpam-3408	618	20	when	when	SCONJ
ejpam-3408	618	21	r	r	NOUN
ejpam-3408	618	22	is	be	AUX
ejpam-3408	618	23	the	the	DET
ejpam-3408	618	24	ring	ring	NOUN
ejpam-3408	618	25	of	of	ADP
ejpam-3408	618	26	rational	rational	ADJ
ejpam-3408	618	27	integers	integer	NOUN
ejpam-3408	618	28	or	or	CCONJ
ejpam-3408	618	29	an	an	DET
ejpam-3408	618	30	arbitrary	arbitrary	ADJ
ejpam-3408	618	31	field	field	NOUN
ejpam-3408	618	32	.	.	PUNCT
ejpam-3408	619	1	on	on	ADP
ejpam-3408	619	2	the	the	DET
ejpam-3408	619	3	way	way	NOUN
ejpam-3408	619	4	goodaire	goodaire	NOUN
ejpam-3408	619	5	and	and	CCONJ
ejpam-3408	619	6	milies	milie	NOUN
ejpam-3408	619	7	[	[	X
ejpam-3408	619	8	68	68	NUM
ejpam-3408	619	9	]	]	PUNCT
ejpam-3408	619	10	in	in	ADP
ejpam-3408	619	11	2001	2001	NUM
ejpam-3408	619	12	observed	observe	VERB
ejpam-3408	619	13	that	that	SCONJ
ejpam-3408	619	14	an	an	DET
ejpam-3408	619	15	ra	ra	PROPN
ejpam-3408	619	16	loop	loop	NOUN
ejpam-3408	619	17	has	have	VERB
ejpam-3408	619	18	a	a	DET
ejpam-3408	619	19	torsion	torsion	NOUN
ejpam-3408	619	20	-	-	PUNCT
ejpam-3408	619	21	free	free	ADJ
ejpam-3408	619	22	normal	normal	ADJ
ejpam-3408	619	23	complement	complement	NOUN
ejpam-3408	619	24	in	in	ADP
ejpam-3408	619	25	the	the	DET
ejpam-3408	619	26	loop	loop	NOUN
ejpam-3408	619	27	of	of	ADP
ejpam-3408	619	28	normalized	normalize	VERB
ejpam-3408	619	29	units	unit	NOUN
ejpam-3408	619	30	of	of	ADP
ejpam-3408	619	31	its	its	PRON
ejpam-3408	619	32	integral	integral	ADJ
ejpam-3408	619	33	loop	loop	NOUN
ejpam-3408	619	34	ring	ring	NOUN
ejpam-3408	619	35	.	.	PUNCT
ejpam-3408	620	1	they	they	PRON
ejpam-3408	620	2	also	also	ADV
ejpam-3408	620	3	examined	examine	VERB
ejpam-3408	620	4	whether	whether	SCONJ
ejpam-3408	620	5	an	an	DET
ejpam-3408	620	6	ra	ra	PROPN
ejpam-3408	620	7	loop	loop	NOUN
ejpam-3408	620	8	can	can	AUX
ejpam-3408	620	9	be	be	AUX
ejpam-3408	620	10	normal	normal	ADJ
ejpam-3408	620	11	in	in	ADP
ejpam-3408	620	12	its	its	PRON
ejpam-3408	620	13	a.	a.	NOUN
ejpam-3408	620	14	razzaque	razzaque	NOUN
ejpam-3408	620	15	et	et	PROPN
ejpam-3408	620	16	al	al	PROPN
ejpam-3408	620	17	.	.	PUNCT
ejpam-3408	620	18	/	/	SYM
ejpam-3408	620	19	eur	eur	PROPN
ejpam-3408	620	20	.	.	PUNCT
ejpam-3408	621	1	j.	j.	PROPN
ejpam-3408	621	2	pure	pure	PROPN
ejpam-3408	621	3	appl	appl	PROPN
ejpam-3408	621	4	.	.	PROPN
ejpam-3408	621	5	math	math	PROPN
ejpam-3408	621	6	,	,	PUNCT
ejpam-3408	621	7	12	12	NUM
ejpam-3408	621	8	(	(	PUNCT
ejpam-3408	621	9	2	2	NUM
ejpam-3408	621	10	)	)	PUNCT
ejpam-3408	621	11	(	(	PUNCT
ejpam-3408	621	12	2019	2019	NUM
ejpam-3408	621	13	)	)	PUNCT
ejpam-3408	621	14	,	,	PUNCT
ejpam-3408	621	15	370	370	NUM
ejpam-3408	621	16	-	-	SYM
ejpam-3408	621	17	408	408	NUM
ejpam-3408	621	18	389	389	NUM
ejpam-3408	621	19	unit	unit	NOUN
ejpam-3408	621	20	loop	loop	NOUN
ejpam-3408	621	21	.	.	PUNCT
ejpam-3408	622	1	furthermore	furthermore	ADV
ejpam-3408	622	2	,	,	PUNCT
ejpam-3408	622	3	in	in	ADP
ejpam-3408	622	4	2002	2002	NUM
ejpam-3408	622	5	,	,	PUNCT
ejpam-3408	622	6	nagy	nagy	PROPN
ejpam-3408	622	7	[	[	X
ejpam-3408	622	8	187	187	NUM
ejpam-3408	622	9	]	]	PUNCT
ejpam-3408	622	10	showed	show	VERB
ejpam-3408	622	11	that	that	SCONJ
ejpam-3408	622	12	the	the	DET
ejpam-3408	622	13	fundamental	fundamental	ADJ
ejpam-3408	622	14	ideal	ideal	NOUN
ejpam-3408	622	15	of	of	ADP
ejpam-3408	622	16	loop	loop	NOUN
ejpam-3408	622	17	ring	ring	NOUN
ejpam-3408	622	18	fl	fl	NOUN
ejpam-3408	622	19	is	be	AUX
ejpam-3408	622	20	nilpotent	nilpotent	ADJ
ejpam-3408	622	21	if	if	SCONJ
ejpam-3408	622	22	and	and	CCONJ
ejpam-3408	622	23	only	only	ADV
ejpam-3408	622	24	if	if	SCONJ
ejpam-3408	622	25	the	the	DET
ejpam-3408	622	26	multiplication	multiplication	NOUN
ejpam-3408	622	27	group	group	NOUN
ejpam-3408	622	28	is	be	AUX
ejpam-3408	622	29	p	p	NOUN
ejpam-3408	622	30	-	-	PUNCT
ejpam-3408	622	31	group	group	NOUN
ejpam-3408	622	32	,	,	PUNCT
ejpam-3408	622	33	where	where	SCONJ
ejpam-3408	622	34	p	p	NOUN
ejpam-3408	622	35	is	be	AUX
ejpam-3408	622	36	prime	prime	ADJ
ejpam-3408	622	37	,	,	PUNCT
ejpam-3408	622	38	l	l	NOUN
ejpam-3408	622	39	is	be	AUX
ejpam-3408	622	40	finite	finite	ADJ
ejpam-3408	622	41	loop	loop	NOUN
ejpam-3408	622	42	of	of	ADP
ejpam-3408	622	43	p	p	NOUN
ejpam-3408	622	44	-	-	PUNCT
ejpam-3408	622	45	power	power	NOUN
ejpam-3408	622	46	order	order	NOUN
ejpam-3408	622	47	and	and	CCONJ
ejpam-3408	622	48	f	f	PROPN
ejpam-3408	622	49	is	be	AUX
ejpam-3408	622	50	a	a	DET
ejpam-3408	622	51	field	field	NOUN
ejpam-3408	622	52	of	of	ADP
ejpam-3408	622	53	characteristic	characteristic	ADJ
ejpam-3408	622	54	p.	p.	NOUN
ejpam-3408	622	55	also	also	ADV
ejpam-3408	622	56	in	in	ADP
ejpam-3408	622	57	2002	2002	NUM
ejpam-3408	622	58	,	,	PUNCT
ejpam-3408	622	59	vasantha	vasantha	NOUN
ejpam-3408	622	60	kandasamy	kandasamy	NOUN
ejpam-3408	622	61	and	and	CCONJ
ejpam-3408	622	62	parimala	parimala	NOUN
ejpam-3408	623	1	kanthi	kanthi	NOUN
ejpam-3408	624	1	[	[	X
ejpam-3408	624	2	124	124	NUM
ejpam-3408	624	3	]	]	PUNCT
ejpam-3408	624	4	introduced	introduce	VERB
ejpam-3408	624	5	a	a	DET
ejpam-3408	624	6	new	new	ADJ
ejpam-3408	624	7	class	class	NOUN
ejpam-3408	624	8	of	of	ADP
ejpam-3408	624	9	jordan	jordan	PROPN
ejpam-3408	624	10	loops	loop	NOUN
ejpam-3408	624	11	of	of	ADP
ejpam-3408	624	12	order	order	NOUN
ejpam-3408	624	13	p+	p+	VERB
ejpam-3408	624	14	1	1	NUM
ejpam-3408	624	15	where	where	SCONJ
ejpam-3408	624	16	p	p	NOUN
ejpam-3408	624	17	is	be	AUX
ejpam-3408	624	18	a	a	DET
ejpam-3408	624	19	prime	prime	NOUN
ejpam-3408	624	20	.	.	PUNCT
ejpam-3408	625	1	they	they	PRON
ejpam-3408	625	2	also	also	ADV
ejpam-3408	625	3	proved	prove	VERB
ejpam-3408	625	4	this	this	DET
ejpam-3408	625	5	new	new	ADJ
ejpam-3408	625	6	class	class	NOUN
ejpam-3408	625	7	of	of	ADP
ejpam-3408	625	8	jordan	jordan	PROPN
ejpam-3408	625	9	loops	loops	PROPN
ejpam-3408	625	10	is	be	AUX
ejpam-3408	625	11	not	not	PART
ejpam-3408	625	12	moufang	moufang	NOUN
ejpam-3408	625	13	loops	loop	NOUN
ejpam-3408	625	14	or	or	CCONJ
ejpam-3408	625	15	bruck	bruck	NOUN
ejpam-3408	625	16	loops	loop	NOUN
ejpam-3408	625	17	.	.	PUNCT
ejpam-3408	626	1	further	far	ADV
ejpam-3408	626	2	they	they	PRON
ejpam-3408	626	3	proved	prove	VERB
ejpam-3408	626	4	that	that	SCONJ
ejpam-3408	626	5	the	the	DET
ejpam-3408	626	6	loop	loop	NOUN
ejpam-3408	626	7	rings	ring	NOUN
ejpam-3408	626	8	defined	define	VERB
ejpam-3408	626	9	analogous	analogous	ADJ
ejpam-3408	626	10	to	to	ADP
ejpam-3408	626	11	group	group	NOUN
ejpam-3408	626	12	rings	ring	NOUN
ejpam-3408	626	13	by	by	ADP
ejpam-3408	626	14	using	use	VERB
ejpam-3408	626	15	a	a	DET
ejpam-3408	626	16	jordan	jordan	PROPN
ejpam-3408	626	17	loop	loop	PROPN
ejpam-3408	626	18	jp	jp	PROPN
ejpam-3408	626	19	over	over	ADP
ejpam-3408	626	20	rings	ring	NOUN
ejpam-3408	626	21	which	which	PRON
ejpam-3408	626	22	are	be	AUX
ejpam-3408	626	23	commutative	commutative	ADJ
ejpam-3408	626	24	with	with	ADP
ejpam-3408	626	25	unit	unit	NOUN
ejpam-3408	626	26	or	or	CCONJ
ejpam-3408	626	27	fields	field	NOUN
ejpam-3408	626	28	are	be	AUX
ejpam-3408	626	29	jordan	jordan	PROPN
ejpam-3408	626	30	rings	ring	NOUN
ejpam-3408	626	31	only	only	ADV
ejpam-3408	626	32	under	under	ADP
ejpam-3408	626	33	special	special	ADJ
ejpam-3408	626	34	type	type	NOUN
ejpam-3408	626	35	of	of	ADP
ejpam-3408	626	36	rings	ring	NOUN
ejpam-3408	626	37	.	.	PUNCT
ejpam-3408	627	1	finally	finally	ADV
ejpam-3408	627	2	they	they	PRON
ejpam-3408	627	3	showed	show	VERB
ejpam-3408	627	4	that	that	SCONJ
ejpam-3408	627	5	the	the	DET
ejpam-3408	627	6	loop	loop	NOUN
ejpam-3408	627	7	ring	ring	NOUN
ejpam-3408	627	8	in	in	ADP
ejpam-3408	627	9	case	case	NOUN
ejpam-3408	627	10	of	of	ADP
ejpam-3408	627	11	the	the	DET
ejpam-3408	627	12	jordan	jordan	PROPN
ejpam-3408	627	13	loop	loop	PROPN
ejpam-3408	627	14	jp	jp	PROPN
ejpam-3408	627	15	over	over	ADP
ejpam-3408	627	16	the	the	DET
ejpam-3408	627	17	ring	ring	NOUN
ejpam-3408	627	18	z2	z2	PROPN
ejpam-3408	627	19	is	be	AUX
ejpam-3408	627	20	a	a	DET
ejpam-3408	627	21	jordan	jordan	PROPN
ejpam-3408	627	22	ring	ring	NOUN
ejpam-3408	627	23	.	.	PUNCT
ejpam-3408	628	1	conversely	conversely	ADV
ejpam-3408	628	2	if	if	SCONJ
ejpam-3408	628	3	the	the	DET
ejpam-3408	628	4	loop	loop	NOUN
ejpam-3408	628	5	ring	ring	NOUN
ejpam-3408	628	6	kl	kl	PROPN
ejpam-3408	628	7	is	be	AUX
ejpam-3408	628	8	a	a	DET
ejpam-3408	628	9	jordan	jordan	PROPN
ejpam-3408	628	10	ring	ring	NOUN
ejpam-3408	628	11	then	then	ADV
ejpam-3408	628	12	the	the	DET
ejpam-3408	628	13	loop	loop	NOUN
ejpam-3408	628	14	l	l	NOUN
ejpam-3408	628	15	is	be	AUX
ejpam-3408	628	16	a	a	DET
ejpam-3408	628	17	jordan	jordan	PROPN
ejpam-3408	628	18	loop	loop	PROPN
ejpam-3408	628	19	.	.	PUNCT
ejpam-3408	629	1	also	also	ADV
ejpam-3408	629	2	explained	explain	VERB
ejpam-3408	629	3	that	that	SCONJ
ejpam-3408	629	4	these	these	DET
ejpam-3408	629	5	new	new	ADJ
ejpam-3408	629	6	class	class	NOUN
ejpam-3408	629	7	of	of	ADP
ejpam-3408	629	8	jordan	jordan	PROPN
ejpam-3408	629	9	loops	loops	PROPN
ejpam-3408	629	10	are	be	AUX
ejpam-3408	629	11	power	power	NOUN
ejpam-3408	629	12	associative	associative	NOUN
ejpam-3408	629	13	so	so	SCONJ
ejpam-3408	629	14	the	the	DET
ejpam-3408	629	15	loop	loop	NOUN
ejpam-3408	629	16	rings	ring	NOUN
ejpam-3408	629	17	have	have	VERB
ejpam-3408	629	18	proper	proper	ADJ
ejpam-3408	629	19	associative	associative	ADJ
ejpam-3408	629	20	sub	sub	NOUN
ejpam-3408	629	21	-	-	NOUN
ejpam-3408	629	22	rings	ring	NOUN
ejpam-3408	629	23	and	and	CCONJ
ejpam-3408	629	24	these	these	DET
ejpam-3408	629	25	loop	loop	NOUN
ejpam-3408	629	26	rings	ring	NOUN
ejpam-3408	629	27	kjp	kjp	PROPN
ejpam-3408	629	28	had	have	VERB
ejpam-3408	629	29	non	non	ADJ
ejpam-3408	629	30	-	-	ADJ
ejpam-3408	629	31	trivial	trivial	ADJ
ejpam-3408	629	32	zero	zero	NUM
ejpam-3408	629	33	divisors	divisor	NOUN
ejpam-3408	629	34	and	and	CCONJ
ejpam-3408	629	35	idempotents	idempotent	NOUN
ejpam-3408	629	36	.	.	PUNCT
ejpam-3408	630	1	in	in	ADP
ejpam-3408	630	2	2005	2005	NUM
ejpam-3408	630	3	,	,	PUNCT
ejpam-3408	630	4	goodaire	goodaire	NOUN
ejpam-3408	630	5	,	,	PUNCT
ejpam-3408	630	6	yuanlin	yuanlin	PROPN
ejpam-3408	630	7	li	li	PROPN
ejpam-3408	630	8	and	and	CCONJ
ejpam-3408	630	9	parmenter	parmenter	NOUN
ejpam-3408	630	10	[	[	X
ejpam-3408	630	11	44	44	NUM
ejpam-3408	630	12	]	]	PUNCT
ejpam-3408	630	13	have	have	AUX
ejpam-3408	630	14	considered	consider	VERB
ejpam-3408	630	15	l	l	NOUN
ejpam-3408	630	16	as	as	ADP
ejpam-3408	630	17	ra	ra	PROPN
ejpam-3408	630	18	loop	loop	NOUN
ejpam-3408	630	19	,	,	PUNCT
ejpam-3408	630	20	that	that	PRON
ejpam-3408	630	21	is	be	AUX
ejpam-3408	630	22	a	a	DET
ejpam-3408	630	23	loop	loop	NOUN
ejpam-3408	630	24	whose	whose	DET
ejpam-3408	630	25	loop	loop	NOUN
ejpam-3408	630	26	rings	ring	NOUN
ejpam-3408	630	27	are	be	AUX
ejpam-3408	630	28	alternative	alternative	ADJ
ejpam-3408	630	29	,	,	PUNCT
ejpam-3408	630	30	but	but	CCONJ
ejpam-3408	630	31	not	not	PART
ejpam-3408	630	32	associative	associative	ADJ
ejpam-3408	630	33	rings	ring	NOUN
ejpam-3408	630	34	(	(	PUNCT
ejpam-3408	630	35	in	in	ADP
ejpam-3408	630	36	any	any	DET
ejpam-3408	630	37	characteristic	characteristic	NOUN
ejpam-3408	630	38	)	)	PUNCT
ejpam-3408	630	39	.	.	PUNCT
ejpam-3408	631	1	they	they	PRON
ejpam-3408	631	2	investigated	investigate	VERB
ejpam-3408	631	3	the	the	DET
ejpam-3408	631	4	necessary	necessary	ADJ
ejpam-3408	631	5	and	and	CCONJ
ejpam-3408	631	6	sufficient	sufficient	ADJ
ejpam-3408	631	7	conditions	condition	NOUN
ejpam-3408	631	8	under	under	ADP
ejpam-3408	631	9	which	which	PRON
ejpam-3408	631	10	the	the	DET
ejpam-3408	631	11	hypercentral	hypercentral	ADJ
ejpam-3408	631	12	units	unit	NOUN
ejpam-3408	631	13	in	in	ADP
ejpam-3408	631	14	the	the	DET
ejpam-3408	631	15	integral	integral	ADJ
ejpam-3408	631	16	loop	loop	NOUN
ejpam-3408	631	17	ring	ring	PROPN
ejpam-3408	631	18	zl	zl	PROPN
ejpam-3408	631	19	are	be	AUX
ejpam-3408	631	20	central	central	ADJ
ejpam-3408	631	21	.	.	PUNCT
ejpam-3408	632	1	in	in	ADP
ejpam-3408	632	2	2006	2006	NUM
ejpam-3408	632	3	,	,	PUNCT
ejpam-3408	632	4	goodaire	goodaire	NOUN
ejpam-3408	632	5	and	and	CCONJ
ejpam-3408	632	6	milies	milie	NOUN
ejpam-3408	632	7	[	[	X
ejpam-3408	632	8	69	69	NUM
ejpam-3408	632	9	]	]	PUNCT
ejpam-3408	632	10	discussed	discuss	VERB
ejpam-3408	632	11	normality	normality	NOUN
ejpam-3408	632	12	of	of	ADP
ejpam-3408	632	13	f	f	PROPN
ejpam-3408	632	14	-unitary	-unitary	ADJ
ejpam-3408	632	15	units	unit	NOUN
ejpam-3408	632	16	in	in	ADP
ejpam-3408	632	17	an	an	DET
ejpam-3408	632	18	alternative	alternative	ADJ
ejpam-3408	632	19	loop	loop	NOUN
ejpam-3408	632	20	rings	ring	NOUN
ejpam-3408	632	21	.	.	PUNCT
ejpam-3408	633	1	in	in	ADP
ejpam-3408	633	2	this	this	DET
ejpam-3408	633	3	paper	paper	NOUN
ejpam-3408	633	4	,	,	PUNCT
ejpam-3408	633	5	they	they	PRON
ejpam-3408	633	6	also	also	ADV
ejpam-3408	633	7	found	find	VERB
ejpam-3408	633	8	necessary	necessary	ADJ
ejpam-3408	633	9	and	and	CCONJ
ejpam-3408	633	10	sufficient	sufficient	ADJ
ejpam-3408	633	11	conditions	condition	NOUN
ejpam-3408	633	12	for	for	ADP
ejpam-3408	633	13	uf	uf	PROPN
ejpam-3408	633	14	(	(	PUNCT
ejpam-3408	633	15	zl	zl	PROPN
ejpam-3408	633	16	)	)	PUNCT
ejpam-3408	633	17	to	to	PART
ejpam-3408	633	18	be	be	AUX
ejpam-3408	633	19	normal	normal	ADJ
ejpam-3408	633	20	in	in	ADP
ejpam-3408	633	21	u(zl	u(zl	NOUN
ejpam-3408	633	22	)	)	PUNCT
ejpam-3408	633	23	(	(	PUNCT
ejpam-3408	633	24	the	the	DET
ejpam-3408	633	25	loop	loop	NOUN
ejpam-3408	633	26	of	of	ADP
ejpam-3408	633	27	all	all	DET
ejpam-3408	633	28	units	unit	NOUN
ejpam-3408	633	29	in	in	ADP
ejpam-3408	633	30	zl	zl	NOUN
ejpam-3408	633	31	)	)	PUNCT
ejpam-3408	633	32	where	where	SCONJ
ejpam-3408	633	33	for	for	ADP
ejpam-3408	633	34	uf	uf	PROPN
ejpam-3408	633	35	(	(	PUNCT
ejpam-3408	633	36	zl	zl	PROPN
ejpam-3408	633	37	)	)	PUNCT
ejpam-3408	633	38	the	the	DET
ejpam-3408	633	39	set	set	NOUN
ejpam-3408	633	40	of	of	ADP
ejpam-3408	633	41	all	all	DET
ejpam-3408	633	42	f	f	PROPN
ejpam-3408	633	43	-unitary	-unitary	ADJ
ejpam-3408	633	44	units	unit	NOUN
ejpam-3408	633	45	and	and	CCONJ
ejpam-3408	633	46	u(zl	u(zl	NOUN
ejpam-3408	633	47	)	)	PUNCT
ejpam-3408	633	48	is	be	AUX
ejpam-3408	633	49	the	the	DET
ejpam-3408	633	50	loop	loop	NOUN
ejpam-3408	633	51	of	of	ADP
ejpam-3408	633	52	all	all	DET
ejpam-3408	633	53	units	unit	NOUN
ejpam-3408	633	54	in	in	ADP
ejpam-3408	633	55	zl	zl	PROPN
ejpam-3408	633	56	.	.	PROPN
ejpam-3408	633	57	goodaire	goodaire	NOUN
ejpam-3408	634	1	[	[	X
ejpam-3408	634	2	61	61	NUM
ejpam-3408	634	3	]	]	PUNCT
ejpam-3408	634	4	in	in	ADP
ejpam-3408	634	5	2007	2007	NUM
ejpam-3408	634	6	described	describe	VERB
ejpam-3408	634	7	some	some	PRON
ejpam-3408	634	8	of	of	ADP
ejpam-3408	634	9	the	the	DET
ejpam-3408	634	10	advances	advance	NOUN
ejpam-3408	634	11	in	in	ADP
ejpam-3408	634	12	the	the	DET
ejpam-3408	634	13	theory	theory	NOUN
ejpam-3408	634	14	of	of	ADP
ejpam-3408	634	15	loops	loop	NOUN
ejpam-3408	634	16	whose	whose	DET
ejpam-3408	634	17	loop	loop	NOUN
ejpam-3408	634	18	rings	ring	NOUN
ejpam-3408	634	19	satisfy	satisfy	VERB
ejpam-3408	634	20	interesting	interesting	ADJ
ejpam-3408	634	21	identities	identity	NOUN
ejpam-3408	634	22	.	.	PUNCT
ejpam-3408	635	1	he	he	PRON
ejpam-3408	635	2	wrote	write	VERB
ejpam-3408	635	3	this	this	DET
ejpam-3408	635	4	paper	paper	NOUN
ejpam-3408	635	5	in	in	ADP
ejpam-3408	635	6	memory	memory	NOUN
ejpam-3408	635	7	of	of	ADP
ejpam-3408	635	8	his	his	PRON
ejpam-3408	635	9	friend	friend	NOUN
ejpam-3408	635	10	robinson	robinson	PROPN
ejpam-3408	635	11	with	with	ADP
ejpam-3408	635	12	whom	whom	PRON
ejpam-3408	635	13	he	he	PRON
ejpam-3408	635	14	did	do	VERB
ejpam-3408	635	15	research	research	NOUN
ejpam-3408	635	16	.	.	PUNCT
ejpam-3408	636	1	again	again	ADV
ejpam-3408	636	2	in	in	ADP
ejpam-3408	636	3	2007	2007	NUM
ejpam-3408	636	4	,	,	PUNCT
ejpam-3408	636	5	goodaire	goodaire	NOUN
ejpam-3408	636	6	[	[	X
ejpam-3408	636	7	62	62	NUM
ejpam-3408	636	8	]	]	PUNCT
ejpam-3408	636	9	discussed	discuss	VERB
ejpam-3408	636	10	advances	advance	NOUN
ejpam-3408	636	11	in	in	ADP
ejpam-3408	636	12	the	the	DET
ejpam-3408	636	13	theory	theory	NOUN
ejpam-3408	636	14	of	of	ADP
ejpam-3408	636	15	loops	loop	NOUN
ejpam-3408	636	16	whose	whose	DET
ejpam-3408	636	17	loop	loop	NOUN
ejpam-3408	636	18	rings	ring	NOUN
ejpam-3408	636	19	satisfy	satisfy	VERB
ejpam-3408	636	20	interesting	interesting	ADJ
ejpam-3408	636	21	identities	identity	NOUN
ejpam-3408	636	22	that	that	PRON
ejpam-3408	636	23	had	have	AUX
ejpam-3408	636	24	taken	take	VERB
ejpam-3408	636	25	place	place	NOUN
ejpam-3408	636	26	primarily	primarily	ADV
ejpam-3408	636	27	since	since	SCONJ
ejpam-3408	636	28	1998	1998	NUM
ejpam-3408	636	29	.	.	PUNCT
ejpam-3408	637	1	the	the	DET
ejpam-3408	637	2	major	major	ADJ
ejpam-3408	637	3	emphasis	emphasis	NOUN
ejpam-3408	637	4	were	be	AUX
ejpam-3408	637	5	on	on	ADP
ejpam-3408	637	6	bol	bol	NOUN
ejpam-3408	637	7	loops	loop	NOUN
ejpam-3408	637	8	that	that	PRON
ejpam-3408	637	9	had	have	VERB
ejpam-3408	637	10	strongly	strongly	ADV
ejpam-3408	637	11	right	right	ADJ
ejpam-3408	637	12	alternative	alternative	ADJ
ejpam-3408	637	13	loop	loop	NOUN
ejpam-3408	637	14	rings	ring	NOUN
ejpam-3408	637	15	and	and	CCONJ
ejpam-3408	637	16	on	on	ADP
ejpam-3408	637	17	jordan	jordan	PROPN
ejpam-3408	637	18	loops	loop	VERB
ejpam-3408	637	19	a	a	DET
ejpam-3408	637	20	hitherto	hitherto	NOUN
ejpam-3408	637	21	largely	largely	ADV
ejpam-3408	637	22	ignored	ignore	VERB
ejpam-3408	637	23	class	class	NOUN
ejpam-3408	637	24	of	of	ADP
ejpam-3408	637	25	commutative	commutative	ADJ
ejpam-3408	637	26	loops	loop	NOUN
ejpam-3408	637	27	some	some	PRON
ejpam-3408	637	28	of	of	ADP
ejpam-3408	637	29	whose	whose	DET
ejpam-3408	637	30	loops	loop	NOUN
ejpam-3408	637	31	rings	ring	NOUN
ejpam-3408	637	32	satisfy	satisfy	VERB
ejpam-3408	637	33	the	the	DET
ejpam-3408	637	34	jordan	jordan	PROPN
ejpam-3408	637	35	identity	identity	NOUN
ejpam-3408	637	36	(	(	PUNCT
ejpam-3408	637	37	x2y)x	x2y)x	PROPN
ejpam-3408	637	38	=	=	SYM
ejpam-3408	637	39	x2(yx	x2(yx	PROPN
ejpam-3408	637	40	)	)	PUNCT
ejpam-3408	637	41	.	.	PUNCT
ejpam-3408	638	1	he	he	PRON
ejpam-3408	638	2	raised	raise	VERB
ejpam-3408	638	3	a	a	DET
ejpam-3408	638	4	number	number	NOUN
ejpam-3408	638	5	of	of	ADP
ejpam-3408	638	6	open	open	ADJ
ejpam-3408	638	7	questions	question	NOUN
ejpam-3408	638	8	and	and	CCONJ
ejpam-3408	638	9	includes	include	VERB
ejpam-3408	638	10	several	several	ADJ
ejpam-3408	638	11	suggestions	suggestion	NOUN
ejpam-3408	638	12	for	for	ADP
ejpam-3408	638	13	further	further	ADJ
ejpam-3408	638	14	research	research	NOUN
ejpam-3408	638	15	.	.	PUNCT
ejpam-3408	639	1	doostie	doostie	VERB
ejpam-3408	639	2	and	and	CCONJ
ejpam-3408	639	3	pourfaraj	pourfaraj	VERB
ejpam-3408	639	4	[	[	X
ejpam-3408	639	5	40	40	NUM
ejpam-3408	639	6	]	]	PUNCT
ejpam-3408	639	7	in	in	ADP
ejpam-3408	639	8	2007	2007	NUM
ejpam-3408	639	9	studied	study	VERB
ejpam-3408	639	10	the	the	DET
ejpam-3408	639	11	finite	finite	PROPN
ejpam-3408	639	12	rings	ring	NOUN
ejpam-3408	639	13	zp[s	zp[s	PROPN
ejpam-3408	639	14	]	]	PUNCT
ejpam-3408	639	15	and	and	CCONJ
ejpam-3408	639	16	z(p1p2)i	z(p1p2)i	PROPN
ejpam-3408	639	17	[	[	X
ejpam-3408	639	18	ln(m	ln(m	NOUN
ejpam-3408	639	19	)	)	PUNCT
ejpam-3408	639	20	]	]	PUNCT
ejpam-3408	639	21	,	,	PUNCT
ejpam-3408	639	22	and	and	CCONJ
ejpam-3408	639	23	proved	prove	VERB
ejpam-3408	639	24	that	that	SCONJ
ejpam-3408	639	25	the	the	DET
ejpam-3408	639	26	first	first	ADJ
ejpam-3408	639	27	one	one	NOUN
ejpam-3408	639	28	is	be	AUX
ejpam-3408	639	29	commuting	commute	VERB
ejpam-3408	639	30	regular	regular	ADV
ejpam-3408	639	31	and	and	CCONJ
ejpam-3408	639	32	the	the	DET
ejpam-3408	639	33	second	second	ADJ
ejpam-3408	639	34	ring	ring	NOUN
ejpam-3408	639	35	contains	contain	VERB
ejpam-3408	639	36	the	the	DET
ejpam-3408	639	37	commuting	commute	VERB
ejpam-3408	639	38	regular	regular	ADJ
ejpam-3408	639	39	element	element	NOUN
ejpam-3408	639	40	and	and	CCONJ
ejpam-3408	639	41	idempotents	idempotent	NOUN
ejpam-3408	639	42	as	as	ADV
ejpam-3408	639	43	well	well	ADV
ejpam-3408	639	44	(	(	PUNCT
ejpam-3408	639	45	where	where	SCONJ
ejpam-3408	639	46	p	p	NOUN
ejpam-3408	639	47	,	,	PUNCT
ejpam-3408	639	48	p1	p1	NOUN
ejpam-3408	639	49	and	and	CCONJ
ejpam-3408	639	50	p2	p2	PROPN
ejpam-3408	639	51	are	be	AUX
ejpam-3408	639	52	odd	odd	ADJ
ejpam-3408	639	53	primes	prime	NOUN
ejpam-3408	639	54	.	.	PUNCT
ejpam-3408	640	1	moreover	moreover	ADV
ejpam-3408	640	2	,	,	PUNCT
ejpam-3408	640	3	i	i	PRON
ejpam-3408	640	4	,	,	PUNCT
ejpam-3408	640	5	m	m	VERB
ejpam-3408	640	6	and	and	CCONJ
ejpam-3408	640	7	n	n	PRON
ejpam-3408	640	8	are	be	AUX
ejpam-3408	640	9	positive	positive	ADJ
ejpam-3408	640	10	integers	integer	NOUN
ejpam-3408	640	11	such	such	ADJ
ejpam-3408	640	12	that	that	SCONJ
ejpam-3408	640	13	m	m	VERB
ejpam-3408	640	14	<	<	X
ejpam-3408	640	15	n	n	CCONJ
ejpam-3408	640	16	,	,	PUNCT
ejpam-3408	640	17	(	(	PUNCT
ejpam-3408	640	18	m	m	NOUN
ejpam-3408	640	19	,	,	PUNCT
ejpam-3408	640	20	n	n	CCONJ
ejpam-3408	640	21	)	)	PUNCT
ejpam-3408	640	22	=	=	SYM
ejpam-3408	640	23	1	1	NUM
ejpam-3408	640	24	and	and	CCONJ
ejpam-3408	640	25	(	(	PUNCT
ejpam-3408	640	26	m	m	NOUN
ejpam-3408	640	27	−	−	PROPN
ejpam-3408	640	28	1	1	NUM
ejpam-3408	640	29	,	,	PUNCT
ejpam-3408	640	30	n	n	CCONJ
ejpam-3408	640	31	)	)	PUNCT
ejpam-3408	640	32	=	=	SYM
ejpam-3408	641	1	1	1	X
ejpam-3408	641	2	.	.	X
ejpam-3408	641	3	they	they	PRON
ejpam-3408	641	4	also	also	ADV
ejpam-3408	641	5	defined	define	VERB
ejpam-3408	641	6	the	the	DET
ejpam-3408	641	7	commuting	commute	VERB
ejpam-3408	641	8	regular	regular	ADJ
ejpam-3408	641	9	semigroup	semigroup	NOUN
ejpam-3408	641	10	ring	ring	NOUN
ejpam-3408	641	11	,	,	PUNCT
ejpam-3408	641	12	commuting	commute	VERB
ejpam-3408	641	13	regular	regular	ADJ
ejpam-3408	641	14	loop	loop	NOUN
ejpam-3408	641	15	ring	ring	NOUN
ejpam-3408	641	16	and	and	CCONJ
ejpam-3408	641	17	commuting	commute	VERB
ejpam-3408	641	18	regular	regular	ADJ
ejpam-3408	641	19	groupoid	groupoid	NOUN
ejpam-3408	641	20	ring	ring	NOUN
ejpam-3408	641	21	.	.	PUNCT
ejpam-3408	642	1	in	in	ADP
ejpam-3408	642	2	2008	2008	NUM
ejpam-3408	642	3	,	,	PUNCT
ejpam-3408	642	4	chein	chein	ADV
ejpam-3408	642	5	et	et	PROPN
ejpam-3408	642	6	al	al	PROPN
ejpam-3408	642	7	.	.	PROPN
ejpam-3408	642	8	,	,	PUNCT
ejpam-3408	643	1	[	[	X
ejpam-3408	643	2	188	188	NUM
ejpam-3408	643	3	]	]	PUNCT
ejpam-3408	643	4	established	establish	VERB
ejpam-3408	643	5	some	some	DET
ejpam-3408	643	6	connections	connection	NOUN
ejpam-3408	643	7	between	between	ADP
ejpam-3408	643	8	loops	loop	NOUN
ejpam-3408	643	9	whose	whose	DET
ejpam-3408	643	10	loop	loop	NOUN
ejpam-3408	643	11	rings	ring	NOUN
ejpam-3408	643	12	,	,	PUNCT
ejpam-3408	643	13	in	in	ADP
ejpam-3408	643	14	characteristic	characteristic	ADJ
ejpam-3408	643	15	2	2	NUM
ejpam-3408	643	16	,	,	PUNCT
ejpam-3408	643	17	satisfy	satisfy	VERB
ejpam-3408	643	18	the	the	DET
ejpam-3408	643	19	moufang	moufang	PROPN
ejpam-3408	643	20	identities	identity	NOUN
ejpam-3408	643	21	and	and	CCONJ
ejpam-3408	643	22	loops	loop	NOUN
ejpam-3408	643	23	whose	whose	DET
ejpam-3408	643	24	loop	loop	NOUN
ejpam-3408	643	25	rings	ring	NOUN
ejpam-3408	643	26	,	,	PUNCT
ejpam-3408	643	27	in	in	ADP
ejpam-3408	643	28	characteristic	characteristic	ADJ
ejpam-3408	643	29	2	2	NUM
ejpam-3408	643	30	,	,	PUNCT
ejpam-3408	643	31	and	and	CCONJ
ejpam-3408	643	32	satisfy	satisfy	VERB
ejpam-3408	643	33	the	the	DET
ejpam-3408	643	34	right	right	ADJ
ejpam-3408	643	35	bol	bol	NOUN
ejpam-3408	643	36	identities	identity	NOUN
ejpam-3408	643	37	.	.	PUNCT
ejpam-3408	644	1	again	again	ADV
ejpam-3408	644	2	in	in	ADP
ejpam-3408	644	3	2008	2008	NUM
ejpam-3408	644	4	,	,	PUNCT
ejpam-3408	644	5	chein	chein	ADJ
ejpam-3408	644	6	and	and	CCONJ
ejpam-3408	644	7	goodaire	goodaire	ADJ
ejpam-3408	644	8	[	[	X
ejpam-3408	644	9	29	29	NUM
ejpam-3408	644	10	]	]	PUNCT
ejpam-3408	644	11	discussed	discuss	VERB
ejpam-3408	644	12	that	that	SCONJ
ejpam-3408	644	13	the	the	DET
ejpam-3408	644	14	possession	possession	NOUN
ejpam-3408	644	15	of	of	ADP
ejpam-3408	644	16	a	a	DET
ejpam-3408	644	17	unique	unique	ADJ
ejpam-3408	644	18	non	non	ADJ
ejpam-3408	644	19	-	-	ADJ
ejpam-3408	644	20	identity	identity	ADJ
ejpam-3408	644	21	commutator	commutator	NOUN
ejpam-3408	644	22	or	or	CCONJ
ejpam-3408	644	23	associator	associator	NOUN
ejpam-3408	644	24	was	be	AUX
ejpam-3408	644	25	a	a	DET
ejpam-3408	644	26	property	property	NOUN
ejpam-3408	644	27	that	that	PRON
ejpam-3408	644	28	dominates	dominate	VERB
ejpam-3408	644	29	the	the	DET
ejpam-3408	644	30	theory	theory	NOUN
ejpam-3408	644	31	of	of	ADP
ejpam-3408	644	32	loops	loop	NOUN
ejpam-3408	644	33	whose	whose	DET
ejpam-3408	644	34	loop	loop	NOUN
ejpam-3408	644	35	rings	ring	NOUN
ejpam-3408	644	36	,	,	PUNCT
ejpam-3408	644	37	while	while	SCONJ
ejpam-3408	644	38	not	not	PART
ejpam-3408	644	39	associative	associative	ADJ
ejpam-3408	644	40	,	,	PUNCT
ejpam-3408	644	41	nevertheless	nevertheless	ADV
ejpam-3408	644	42	satisfy	satisfy	VERB
ejpam-3408	644	43	an	an	DET
ejpam-3408	644	44	interesting	interesting	ADJ
ejpam-3408	644	45	identity	identity	NOUN
ejpam-3408	644	46	.	.	PUNCT
ejpam-3408	645	1	furthermore	furthermore	ADV
ejpam-3408	645	2	,	,	PUNCT
ejpam-3408	645	3	they	they	PRON
ejpam-3408	645	4	also	also	ADV
ejpam-3408	645	5	considered	consider	VERB
ejpam-3408	645	6	all	all	DET
ejpam-3408	645	7	loops	loop	NOUN
ejpam-3408	645	8	with	with	ADP
ejpam-3408	645	9	loop	loop	NOUN
ejpam-3408	645	10	rings	ring	NOUN
ejpam-3408	645	11	satisfying	satisfy	VERB
ejpam-3408	645	12	the	the	DET
ejpam-3408	645	13	right	right	ADJ
ejpam-3408	645	14	bol	bol	NOUN
ejpam-3408	645	15	identity	identity	NOUN
ejpam-3408	645	16	(	(	PUNCT
ejpam-3408	645	17	such	such	ADJ
ejpam-3408	645	18	loops	loop	NOUN
ejpam-3408	645	19	are	be	AUX
ejpam-3408	645	20	called	call	VERB
ejpam-3408	645	21	srar	srar	NOUN
ejpam-3408	645	22	)	)	PUNCT
ejpam-3408	645	23	have	have	AUX
ejpam-3408	645	24	been	be	AUX
ejpam-3408	645	25	known	know	VERB
ejpam-3408	645	26	to	to	PART
ejpam-3408	645	27	have	have	VERB
ejpam-3408	645	28	this	this	DET
ejpam-3408	645	29	property	property	NOUN
ejpam-3408	645	30	.	.	PUNCT
ejpam-3408	646	1	they	they	PRON
ejpam-3408	646	2	presented	present	VERB
ejpam-3408	646	3	various	various	ADJ
ejpam-3408	646	4	constructions	construction	NOUN
ejpam-3408	646	5	of	of	ADP
ejpam-3408	646	6	other	other	ADJ
ejpam-3408	646	7	kinds	kind	NOUN
ejpam-3408	646	8	of	of	ADP
ejpam-3408	646	9	srar	srar	NOUN
ejpam-3408	646	10	loops	loop	NOUN
ejpam-3408	646	11	.	.	PUNCT
ejpam-3408	647	1	also	also	ADV
ejpam-3408	647	2	considered	consider	VERB
ejpam-3408	647	3	bol	bol	NOUN
ejpam-3408	647	4	loops	loop	NOUN
ejpam-3408	647	5	whose	whose	DET
ejpam-3408	647	6	left	left	ADJ
ejpam-3408	647	7	nucleus	nucleus	NOUN
ejpam-3408	647	8	is	be	AUX
ejpam-3408	647	9	an	an	DET
ejpam-3408	647	10	abelian	abelian	ADJ
ejpam-3408	647	11	group	group	NOUN
ejpam-3408	647	12	of	of	ADP
ejpam-3408	647	13	index	index	NOUN
ejpam-3408	647	14	2	2	NUM
ejpam-3408	647	15	and	and	CCONJ
ejpam-3408	647	16	showed	show	VERB
ejpam-3408	647	17	that	that	SCONJ
ejpam-3408	647	18	the	the	DET
ejpam-3408	647	19	loop	loop	NOUN
ejpam-3408	647	20	rings	ring	NOUN
ejpam-3408	647	21	of	of	ADP
ejpam-3408	647	22	some	some	DET
ejpam-3408	647	23	such	such	ADJ
ejpam-3408	647	24	loops	loop	NOUN
ejpam-3408	647	25	were	be	AUX
ejpam-3408	647	26	strongly	strongly	ADV
ejpam-3408	647	27	right	right	ADJ
ejpam-3408	647	28	alternative	alternative	NOUN
ejpam-3408	647	29	and	and	CCONJ
ejpam-3408	647	30	exhibited	exhibit	VERB
ejpam-3408	647	31	various	various	ADJ
ejpam-3408	647	32	srar	srar	NOUN
ejpam-3408	647	33	loops	loop	NOUN
ejpam-3408	647	34	with	with	ADP
ejpam-3408	647	35	more	more	ADJ
ejpam-3408	647	36	than	than	ADP
ejpam-3408	647	37	two	two	NUM
ejpam-3408	647	38	commutators	commutator	NOUN
ejpam-3408	647	39	.	.	PUNCT
ejpam-3408	648	1	in	in	ADP
ejpam-3408	648	2	2009	2009	NUM
ejpam-3408	648	3	,	,	PUNCT
ejpam-3408	648	4	dart	dart	NOUN
ejpam-3408	648	5	and	and	CCONJ
ejpam-3408	648	6	goodaire	goodaire	NOUN
ejpam-3408	648	7	[	[	X
ejpam-3408	648	8	36	36	NUM
ejpam-3408	648	9	]	]	PUNCT
ejpam-3408	648	10	investigated	investigate	VERB
ejpam-3408	648	11	the	the	DET
ejpam-3408	648	12	existence	existence	NOUN
ejpam-3408	648	13	of	of	ADP
ejpam-3408	648	14	loop	loop	NOUN
ejpam-3408	648	15	rings	ring	NOUN
ejpam-3408	648	16	that	that	PRON
ejpam-3408	648	17	were	be	AUX
ejpam-3408	648	18	not	not	PART
ejpam-3408	648	19	a.	a.	NOUN
ejpam-3408	648	20	razzaque	razzaque	NOUN
ejpam-3408	648	21	et	et	PROPN
ejpam-3408	648	22	al	al	PROPN
ejpam-3408	648	23	.	.	PUNCT
ejpam-3408	648	24	/	/	SYM
ejpam-3408	648	25	eur	eur	PROPN
ejpam-3408	648	26	.	.	PUNCT
ejpam-3408	649	1	j.	j.	PROPN
ejpam-3408	649	2	pure	pure	PROPN
ejpam-3408	649	3	appl	appl	PROPN
ejpam-3408	649	4	.	.	PROPN
ejpam-3408	649	5	math	math	PROPN
ejpam-3408	649	6	,	,	PUNCT
ejpam-3408	649	7	12	12	NUM
ejpam-3408	649	8	(	(	PUNCT
ejpam-3408	649	9	2	2	NUM
ejpam-3408	649	10	)	)	PUNCT
ejpam-3408	649	11	(	(	PUNCT
ejpam-3408	649	12	2019	2019	NUM
ejpam-3408	649	13	)	)	PUNCT
ejpam-3408	649	14	,	,	PUNCT
ejpam-3408	649	15	370	370	NUM
ejpam-3408	649	16	-	-	SYM
ejpam-3408	649	17	408	408	NUM
ejpam-3408	649	18	390	390	NUM
ejpam-3408	649	19	associative	associative	NOUN
ejpam-3408	649	20	but	but	CCONJ
ejpam-3408	649	21	which	which	PRON
ejpam-3408	649	22	satisfied	satisfy	VERB
ejpam-3408	649	23	the	the	DET
ejpam-3408	649	24	moufang	moufang	PROPN
ejpam-3408	649	25	or	or	CCONJ
ejpam-3408	649	26	bol	bol	NOUN
ejpam-3408	649	27	identities	identity	NOUN
ejpam-3408	649	28	(	(	PUNCT
ejpam-3408	649	29	without	without	ADP
ejpam-3408	649	30	being	be	AUX
ejpam-3408	649	31	associative	associative	ADJ
ejpam-3408	649	32	)	)	PUNCT
ejpam-3408	649	33	.	.	PUNCT
ejpam-3408	650	1	their	their	PRON
ejpam-3408	650	2	work	work	NOUN
ejpam-3408	650	3	turned	turn	VERB
ejpam-3408	650	4	out	out	ADP
ejpam-3408	650	5	,	,	PUNCT
ejpam-3408	650	6	with	with	SCONJ
ejpam-3408	650	7	one	one	NUM
ejpam-3408	650	8	exception	exception	NOUN
ejpam-3408	650	9	,	,	PUNCT
ejpam-3408	650	10	loop	loop	NOUN
ejpam-3408	650	11	rings	ring	NOUN
ejpam-3408	650	12	satisfying	satisfy	VERB
ejpam-3408	650	13	an	an	DET
ejpam-3408	650	14	identity	identity	NOUN
ejpam-3408	650	15	of	of	ADP
ejpam-3408	650	16	bol	bol	NOUN
ejpam-3408	650	17	-	-	PUNCT
ejpam-3408	650	18	moufang	moufang	NOUN
ejpam-3408	650	19	type	type	NOUN
ejpam-3408	650	20	all	all	PRON
ejpam-3408	650	21	satisfy	satisfy	VERB
ejpam-3408	650	22	a	a	DET
ejpam-3408	650	23	moufang	moufang	NOUN
ejpam-3408	650	24	or	or	CCONJ
ejpam-3408	650	25	bol	bol	NOUN
ejpam-3408	650	26	identity	identity	NOUN
ejpam-3408	650	27	.	.	PUNCT
ejpam-3408	651	1	they	they	PRON
ejpam-3408	651	2	also	also	ADV
ejpam-3408	651	3	highlighted	highlight	VERB
ejpam-3408	651	4	some	some	DET
ejpam-3408	651	5	similarities	similarity	NOUN
ejpam-3408	651	6	and	and	CCONJ
ejpam-3408	651	7	differences	difference	NOUN
ejpam-3408	651	8	in	in	ADP
ejpam-3408	651	9	the	the	DET
ejpam-3408	651	10	consequences	consequence	NOUN
ejpam-3408	651	11	of	of	ADP
ejpam-3408	651	12	several	several	ADJ
ejpam-3408	651	13	bolmoufang	bolmoufang	NOUN
ejpam-3408	651	14	identities	identity	NOUN
ejpam-3408	651	15	as	as	SCONJ
ejpam-3408	651	16	they	they	PRON
ejpam-3408	651	17	applied	apply	VERB
ejpam-3408	651	18	to	to	ADP
ejpam-3408	651	19	loops	loop	NOUN
ejpam-3408	651	20	and	and	CCONJ
ejpam-3408	651	21	rings	ring	NOUN
ejpam-3408	651	22	.	.	PUNCT
ejpam-3408	652	1	moreover	moreover	ADV
ejpam-3408	652	2	,	,	PUNCT
ejpam-3408	652	3	in	in	ADP
ejpam-3408	652	4	2012	2012	NUM
ejpam-3408	652	5	,	,	PUNCT
ejpam-3408	652	6	giraldo	giraldo	PROPN
ejpam-3408	652	7	vergara	vergara	PROPN
ejpam-3408	652	8	[	[	X
ejpam-3408	652	9	254	254	NUM
ejpam-3408	652	10	]	]	PUNCT
ejpam-3408	652	11	discussed	discuss	VERB
ejpam-3408	652	12	in	in	ADP
ejpam-3408	652	13	details	detail	NOUN
ejpam-3408	652	14	the	the	DET
ejpam-3408	652	15	developments	development	NOUN
ejpam-3408	652	16	of	of	ADP
ejpam-3408	652	17	theory	theory	NOUN
ejpam-3408	652	18	of	of	ADP
ejpam-3408	652	19	loop	loop	NOUN
ejpam-3408	652	20	rings	ring	NOUN
ejpam-3408	652	21	that	that	PRON
ejpam-3408	652	22	has	have	AUX
ejpam-3408	652	23	been	be	AUX
ejpam-3408	652	24	intrigued	intrigue	VERB
ejpam-3408	652	25	mathematicians	mathematician	NOUN
ejpam-3408	652	26	from	from	ADP
ejpam-3408	652	27	different	different	ADJ
ejpam-3408	652	28	areas	area	NOUN
ejpam-3408	652	29	.	.	PUNCT
ejpam-3408	653	1	he	he	PRON
ejpam-3408	653	2	also	also	ADV
ejpam-3408	653	3	mentioned	mention	VERB
ejpam-3408	653	4	that	that	SCONJ
ejpam-3408	653	5	in	in	ADP
ejpam-3408	653	6	recent	recent	ADJ
ejpam-3408	653	7	years	year	NOUN
ejpam-3408	653	8	,	,	PUNCT
ejpam-3408	653	9	this	this	DET
ejpam-3408	653	10	theory	theory	NOUN
ejpam-3408	653	11	has	have	AUX
ejpam-3408	653	12	been	be	AUX
ejpam-3408	653	13	developed	develop	VERB
ejpam-3408	653	14	largely	largely	ADV
ejpam-3408	653	15	,	,	PUNCT
ejpam-3408	653	16	and	and	CCONJ
ejpam-3408	653	17	as	as	ADP
ejpam-3408	653	18	an	an	DET
ejpam-3408	653	19	example	example	NOUN
ejpam-3408	653	20	of	of	ADP
ejpam-3408	653	21	this	this	PRON
ejpam-3408	653	22	the	the	DET
ejpam-3408	653	23	complete	complete	ADJ
ejpam-3408	653	24	description	description	NOUN
ejpam-3408	653	25	of	of	ADP
ejpam-3408	653	26	the	the	DET
ejpam-3408	653	27	loop	loop	NOUN
ejpam-3408	653	28	of	of	ADP
ejpam-3408	653	29	invertible	invertible	ADJ
ejpam-3408	653	30	elements	element	NOUN
ejpam-3408	653	31	of	of	ADP
ejpam-3408	653	32	the	the	DET
ejpam-3408	653	33	zorn	zorn	PROPN
ejpam-3408	653	34	algebra	algebra	PROPN
ejpam-3408	653	35	is	be	AUX
ejpam-3408	653	36	known	know	VERB
ejpam-3408	653	37	to	to	ADP
ejpam-3408	653	38	us	we	PRON
ejpam-3408	653	39	.	.	PUNCT
ejpam-3408	654	1	recently	recently	ADV
ejpam-3408	654	2	,	,	PUNCT
ejpam-3408	654	3	in	in	ADP
ejpam-3408	654	4	2014	2014	NUM
ejpam-3408	654	5	,	,	PUNCT
ejpam-3408	654	6	jayalakshmi	jayalakshmi	PROPN
ejpam-3408	654	7	and	and	CCONJ
ejpam-3408	654	8	manjula	manjula	PROPN
ejpam-3408	655	1	[	[	X
ejpam-3408	655	2	118	118	NUM
ejpam-3408	655	3	]	]	PUNCT
ejpam-3408	655	4	investigated	investigate	VERB
ejpam-3408	655	5	the	the	DET
ejpam-3408	655	6	case	case	NOUN
ejpam-3408	655	7	where	where	SCONJ
ejpam-3408	655	8	the	the	DET
ejpam-3408	655	9	ring	ring	NOUN
ejpam-3408	655	10	has	have	VERB
ejpam-3408	655	11	characteristic	characteristic	ADJ
ejpam-3408	655	12	2	2	NUM
ejpam-3408	655	13	and	and	CCONJ
ejpam-3408	655	14	extend	extend	VERB
ejpam-3408	655	15	to	to	ADP
ejpam-3408	655	16	alternative	alternative	ADJ
ejpam-3408	655	17	loop	loop	NOUN
ejpam-3408	655	18	rings	ring	NOUN
ejpam-3408	655	19	by	by	ADP
ejpam-3408	655	20	proving	prove	VERB
ejpam-3408	655	21	that	that	SCONJ
ejpam-3408	655	22	the	the	DET
ejpam-3408	655	23	augmentation	augmentation	NOUN
ejpam-3408	655	24	of	of	ADP
ejpam-3408	655	25	order	order	NOUN
ejpam-3408	655	26	2n	2n	NUM
ejpam-3408	655	27	in	in	ADP
ejpam-3408	655	28	characteristic	characteristic	ADJ
ejpam-3408	655	29	2	2	NUM
ejpam-3408	655	30	is	be	AUX
ejpam-3408	655	31	a	a	DET
ejpam-3408	655	32	nilpotent	nilpotent	ADJ
ejpam-3408	655	33	ideal	ideal	NOUN
ejpam-3408	655	34	(	(	PUNCT
ejpam-3408	655	35	of	of	ADP
ejpam-3408	655	36	dimension	dimension	NOUN
ejpam-3408	655	37	2n−	2n−	PROPN
ejpam-3408	655	38	1	1	NUM
ejpam-3408	655	39	)	)	PUNCT
ejpam-3408	655	40	.	.	PUNCT
ejpam-3408	656	1	this	this	PRON
ejpam-3408	656	2	,	,	PUNCT
ejpam-3408	656	3	of	of	ADP
ejpam-3408	656	4	course	course	NOUN
ejpam-3408	656	5	,	,	PUNCT
ejpam-3408	656	6	means	mean	VERB
ejpam-3408	656	7	that	that	SCONJ
ejpam-3408	656	8	virtually	virtually	ADV
ejpam-3408	656	9	all	all	DET
ejpam-3408	656	10	the	the	DET
ejpam-3408	656	11	familiar	familiar	ADJ
ejpam-3408	656	12	radicals	radical	NOUN
ejpam-3408	656	13	of	of	ADP
ejpam-3408	656	14	alternative	alternative	ADJ
ejpam-3408	656	15	rings	ring	NOUN
ejpam-3408	656	16	coincide	coincide	NOUN
ejpam-3408	656	17	with	with	ADP
ejpam-3408	656	18	the	the	DET
ejpam-3408	656	19	augmentation	augmentation	NOUN
ejpam-3408	656	20	ideal	ideal	ADJ
ejpam-3408	656	21	.	.	PUNCT
ejpam-3408	657	1	also	also	ADV
ejpam-3408	657	2	,	,	PUNCT
ejpam-3408	657	3	in	in	ADP
ejpam-3408	657	4	2014	2014	NUM
ejpam-3408	657	5	,	,	PUNCT
ejpam-3408	657	6	jayalakshmi	jayalakshmi	PROPN
ejpam-3408	657	7	and	and	CCONJ
ejpam-3408	657	8	manjula	manjula	PROPN
ejpam-3408	658	1	[	[	X
ejpam-3408	658	2	119	119	NUM
ejpam-3408	658	3	]	]	PUNCT
ejpam-3408	658	4	discussed	discuss	VERB
ejpam-3408	658	5	that	that	SCONJ
ejpam-3408	658	6	the	the	DET
ejpam-3408	658	7	right	right	ADJ
ejpam-3408	658	8	alternative	alternative	ADJ
ejpam-3408	658	9	law	law	NOUN
ejpam-3408	658	10	implies	imply	VERB
ejpam-3408	658	11	the	the	DET
ejpam-3408	658	12	left	left	ADJ
ejpam-3408	658	13	alternative	alternative	ADJ
ejpam-3408	658	14	law	law	NOUN
ejpam-3408	658	15	in	in	ADP
ejpam-3408	658	16	loop	loop	NOUN
ejpam-3408	658	17	rings	ring	NOUN
ejpam-3408	658	18	of	of	ADP
ejpam-3408	658	19	characteristic	characteristic	ADJ
ejpam-3408	658	20	other	other	ADJ
ejpam-3408	658	21	than	than	ADP
ejpam-3408	658	22	2	2	NUM
ejpam-3408	658	23	.	.	PUNCT
ejpam-3408	659	1	they	they	PRON
ejpam-3408	659	2	also	also	ADV
ejpam-3408	659	3	shown	show	VERB
ejpam-3408	659	4	that	that	SCONJ
ejpam-3408	659	5	there	there	PRON
ejpam-3408	659	6	exists	exist	VERB
ejpam-3408	659	7	a	a	DET
ejpam-3408	659	8	loop	loop	NOUN
ejpam-3408	659	9	which	which	PRON
ejpam-3408	659	10	fails	fail	VERB
ejpam-3408	659	11	to	to	PART
ejpam-3408	659	12	be	be	AUX
ejpam-3408	659	13	an	an	DET
ejpam-3408	659	14	extra	extra	ADJ
ejpam-3408	659	15	loop	loop	NOUN
ejpam-3408	659	16	,	,	PUNCT
ejpam-3408	659	17	even	even	ADV
ejpam-3408	659	18	though	though	SCONJ
ejpam-3408	659	19	its	its	PRON
ejpam-3408	659	20	characteristic	characteristic	ADJ
ejpam-3408	659	21	2	2	NUM
ejpam-3408	659	22	loop	loop	NOUN
ejpam-3408	659	23	rings	ring	NOUN
ejpam-3408	659	24	are	be	AUX
ejpam-3408	659	25	right	right	ADJ
ejpam-3408	659	26	alternative	alternative	NOUN
ejpam-3408	659	27	.	.	PUNCT
ejpam-3408	660	1	2.6	2.6	NUM
ejpam-3408	660	2	.	.	X
ejpam-3408	661	1	la	la	ADJ
ejpam-3408	661	2	-	-	PUNCT
ejpam-3408	661	3	ring	ring	NOUN
ejpam-3408	661	4	(	(	PUNCT
ejpam-3408	661	5	2006	2006	NUM
ejpam-3408	661	6	-	-	SYM
ejpam-3408	661	7	2016	2016	NUM
ejpam-3408	661	8	)	)	PUNCT
ejpam-3408	661	9	after	after	ADP
ejpam-3408	661	10	the	the	DET
ejpam-3408	661	11	concept	concept	NOUN
ejpam-3408	661	12	of	of	ADP
ejpam-3408	661	13	loop	loop	NOUN
ejpam-3408	661	14	rings	ring	NOUN
ejpam-3408	661	15	(	(	PUNCT
ejpam-3408	661	16	1944	1944	NUM
ejpam-3408	661	17	)	)	PUNCT
ejpam-3408	661	18	,	,	PUNCT
ejpam-3408	661	19	a	a	DET
ejpam-3408	661	20	new	new	ADJ
ejpam-3408	661	21	class	class	NOUN
ejpam-3408	661	22	of	of	ADP
ejpam-3408	661	23	non	non	ADJ
ejpam-3408	661	24	-	-	ADJ
ejpam-3408	661	25	associative	associative	ADJ
ejpam-3408	661	26	ring	ring	NOUN
ejpam-3408	661	27	theory	theory	NOUN
ejpam-3408	661	28	was	be	AUX
ejpam-3408	661	29	given	give	VERB
ejpam-3408	661	30	by	by	ADP
ejpam-3408	661	31	yusuf	yusuf	PROPN
ejpam-3408	661	32	in	in	ADP
ejpam-3408	661	33	2006	2006	NUM
ejpam-3408	661	34	[	[	X
ejpam-3408	661	35	265	265	NUM
ejpam-3408	661	36	]	]	PUNCT
ejpam-3408	661	37	.	.	PUNCT
ejpam-3408	662	1	although	although	SCONJ
ejpam-3408	662	2	the	the	DET
ejpam-3408	662	3	concept	concept	NOUN
ejpam-3408	662	4	of	of	ADP
ejpam-3408	662	5	la	la	ADJ
ejpam-3408	662	6	-	-	PUNCT
ejpam-3408	662	7	ring	ring	NOUN
ejpam-3408	662	8	was	be	AUX
ejpam-3408	662	9	given	give	VERB
ejpam-3408	662	10	in	in	ADP
ejpam-3408	662	11	2006	2006	NUM
ejpam-3408	662	12	,	,	PUNCT
ejpam-3408	662	13	but	but	CCONJ
ejpam-3408	662	14	the	the	DET
ejpam-3408	662	15	systematic	systematic	ADJ
ejpam-3408	662	16	study	study	NOUN
ejpam-3408	662	17	and	and	CCONJ
ejpam-3408	662	18	further	further	ADJ
ejpam-3408	662	19	developments	development	NOUN
ejpam-3408	662	20	was	be	AUX
ejpam-3408	662	21	started	start	VERB
ejpam-3408	662	22	in	in	ADP
ejpam-3408	662	23	2010	2010	NUM
ejpam-3408	662	24	by	by	ADP
ejpam-3408	662	25	shah	shah	PROPN
ejpam-3408	662	26	and	and	CCONJ
ejpam-3408	662	27	rehman	rehman	NOUN
ejpam-3408	662	28	in	in	ADP
ejpam-3408	662	29	their	their	PRON
ejpam-3408	662	30	paper	paper	NOUN
ejpam-3408	663	1	[	[	X
ejpam-3408	663	2	215	215	NUM
ejpam-3408	663	3	]	]	PUNCT
ejpam-3408	663	4	.	.	PUNCT
ejpam-3408	664	1	it	it	PRON
ejpam-3408	664	2	is	be	AUX
ejpam-3408	664	3	worth	worth	ADJ
ejpam-3408	664	4	mentioning	mention	VERB
ejpam-3408	664	5	that	that	SCONJ
ejpam-3408	664	6	this	this	DET
ejpam-3408	664	7	new	new	ADJ
ejpam-3408	664	8	class	class	NOUN
ejpam-3408	664	9	of	of	ADP
ejpam-3408	664	10	non	non	ADJ
ejpam-3408	664	11	-	-	ADJ
ejpam-3408	664	12	associative	associative	ADJ
ejpam-3408	664	13	rings	ring	NOUN
ejpam-3408	664	14	named	name	VERB
ejpam-3408	664	15	left	leave	VERB
ejpam-3408	664	16	almost	almost	ADV
ejpam-3408	664	17	rings	ring	NOUN
ejpam-3408	664	18	(	(	PUNCT
ejpam-3408	664	19	la	la	ADJ
ejpam-3408	664	20	-	-	PUNCT
ejpam-3408	664	21	ring	ring	NOUN
ejpam-3408	664	22	)	)	PUNCT
ejpam-3408	664	23	is	be	AUX
ejpam-3408	664	24	introduced	introduce	VERB
ejpam-3408	664	25	after	after	ADP
ejpam-3408	664	26	a	a	DET
ejpam-3408	664	27	huge	huge	ADJ
ejpam-3408	664	28	gap	gap	NOUN
ejpam-3408	664	29	of	of	ADP
ejpam-3408	664	30	6	6	NUM
ejpam-3408	664	31	decades	decade	NOUN
ejpam-3408	664	32	since	since	SCONJ
ejpam-3408	664	33	the	the	DET
ejpam-3408	664	34	introduction	introduction	NOUN
ejpam-3408	664	35	of	of	ADP
ejpam-3408	664	36	loop	loop	NOUN
ejpam-3408	664	37	rings	ring	NOUN
ejpam-3408	664	38	.	.	PUNCT
ejpam-3408	665	1	left	leave	VERB
ejpam-3408	665	2	almost	almost	ADV
ejpam-3408	665	3	rings	ring	NOUN
ejpam-3408	665	4	(	(	PUNCT
ejpam-3408	665	5	la	la	ADJ
ejpam-3408	665	6	-	-	PUNCT
ejpam-3408	665	7	ring	ring	NOUN
ejpam-3408	665	8	)	)	PUNCT
ejpam-3408	665	9	is	be	AUX
ejpam-3408	665	10	actually	actually	ADV
ejpam-3408	665	11	an	an	DET
ejpam-3408	665	12	off	off	ADJ
ejpam-3408	665	13	shoot	shoot	NOUN
ejpam-3408	665	14	of	of	ADP
ejpam-3408	665	15	la	la	ADJ
ejpam-3408	665	16	-	-	PUNCT
ejpam-3408	665	17	semigroup	semigroup	PROPN
ejpam-3408	665	18	and	and	CCONJ
ejpam-3408	665	19	la	la	NOUN
ejpam-3408	665	20	-	-	NOUN
ejpam-3408	665	21	group	group	NOUN
ejpam-3408	665	22	.	.	PUNCT
ejpam-3408	666	1	it	it	PRON
ejpam-3408	666	2	is	be	AUX
ejpam-3408	666	3	a	a	DET
ejpam-3408	666	4	noncommutative	noncommutative	ADJ
ejpam-3408	666	5	and	and	CCONJ
ejpam-3408	666	6	non	non	ADJ
ejpam-3408	666	7	-	-	ADJ
ejpam-3408	666	8	associative	associative	ADJ
ejpam-3408	666	9	structure	structure	NOUN
ejpam-3408	666	10	and	and	CCONJ
ejpam-3408	666	11	gradually	gradually	ADV
ejpam-3408	666	12	due	due	ADP
ejpam-3408	666	13	to	to	ADP
ejpam-3408	666	14	its	its	PRON
ejpam-3408	666	15	peculiar	peculiar	ADJ
ejpam-3408	666	16	characteristics	characteristic	NOUN
ejpam-3408	666	17	it	it	PRON
ejpam-3408	666	18	has	have	AUX
ejpam-3408	666	19	been	be	AUX
ejpam-3408	666	20	emerging	emerge	VERB
ejpam-3408	666	21	as	as	ADP
ejpam-3408	666	22	useful	useful	ADJ
ejpam-3408	666	23	non	non	ADJ
ejpam-3408	666	24	-	-	ADJ
ejpam-3408	666	25	associative	associative	ADJ
ejpam-3408	666	26	class	class	NOUN
ejpam-3408	666	27	which	which	PRON
ejpam-3408	666	28	intuitively	intuitively	ADV
ejpam-3408	666	29	would	would	AUX
ejpam-3408	666	30	have	have	VERB
ejpam-3408	666	31	reasonable	reasonable	ADJ
ejpam-3408	666	32	contribution	contribution	NOUN
ejpam-3408	666	33	to	to	PART
ejpam-3408	666	34	enhance	enhance	VERB
ejpam-3408	666	35	non	non	ADJ
ejpam-3408	666	36	-	-	ADJ
ejpam-3408	666	37	associative	associative	ADJ
ejpam-3408	666	38	ring	ring	NOUN
ejpam-3408	666	39	theory	theory	NOUN
ejpam-3408	666	40	.	.	PUNCT
ejpam-3408	667	1	by	by	ADP
ejpam-3408	667	2	an	an	DET
ejpam-3408	667	3	laring	laring	NOUN
ejpam-3408	667	4	,	,	PUNCT
ejpam-3408	667	5	we	we	PRON
ejpam-3408	667	6	mean	mean	VERB
ejpam-3408	667	7	a	a	DET
ejpam-3408	667	8	non	non	ADJ
ejpam-3408	667	9	-	-	ADJ
ejpam-3408	667	10	empty	empty	ADJ
ejpam-3408	667	11	set	set	VERB
ejpam-3408	667	12	r	r	NOUN
ejpam-3408	667	13	with	with	ADP
ejpam-3408	667	14	at	at	ADV
ejpam-3408	667	15	least	least	ADV
ejpam-3408	667	16	two	two	NUM
ejpam-3408	667	17	elements	element	NOUN
ejpam-3408	667	18	such	such	ADJ
ejpam-3408	667	19	that	that	SCONJ
ejpam-3408	667	20	(	(	PUNCT
ejpam-3408	667	21	r,+	r,+	NUM
ejpam-3408	667	22	)	)	PUNCT
ejpam-3408	667	23	is	be	AUX
ejpam-3408	667	24	an	an	DET
ejpam-3408	667	25	la	la	NOUN
ejpam-3408	667	26	-	-	NOUN
ejpam-3408	667	27	group	group	NOUN
ejpam-3408	667	28	,	,	PUNCT
ejpam-3408	667	29	(	(	PUNCT
ejpam-3408	667	30	r	r	NOUN
ejpam-3408	667	31	,	,	PUNCT
ejpam-3408	667	32	.	.	PUNCT
ejpam-3408	667	33	)	)	PUNCT
ejpam-3408	667	34	is	be	AUX
ejpam-3408	667	35	an	an	DET
ejpam-3408	667	36	la	la	ADJ
ejpam-3408	667	37	-	-	PUNCT
ejpam-3408	667	38	semigroup	semigroup	NOUN
ejpam-3408	667	39	,	,	PUNCT
ejpam-3408	667	40	both	both	PRON
ejpam-3408	667	41	left	leave	VERB
ejpam-3408	667	42	and	and	CCONJ
ejpam-3408	667	43	right	right	ADJ
ejpam-3408	667	44	distributive	distributive	ADJ
ejpam-3408	667	45	laws	law	NOUN
ejpam-3408	667	46	hold	hold	VERB
ejpam-3408	667	47	.	.	PUNCT
ejpam-3408	668	1	in	in	ADP
ejpam-3408	668	2	[	[	X
ejpam-3408	668	3	215	215	NUM
ejpam-3408	668	4	]	]	PUNCT
ejpam-3408	668	5	,	,	PUNCT
ejpam-3408	668	6	the	the	DET
ejpam-3408	668	7	authors	author	NOUN
ejpam-3408	668	8	have	have	AUX
ejpam-3408	668	9	discussed	discuss	VERB
ejpam-3408	668	10	la	la	ADJ
ejpam-3408	668	11	-	-	NOUN
ejpam-3408	668	12	ring	ring	NOUN
ejpam-3408	668	13	of	of	ADP
ejpam-3408	668	14	finitely	finitely	ADV
ejpam-3408	668	15	nonzero	nonzero	PROPN
ejpam-3408	668	16	functions	function	NOUN
ejpam-3408	668	17	which	which	PRON
ejpam-3408	668	18	is	be	AUX
ejpam-3408	668	19	in	in	ADP
ejpam-3408	668	20	fact	fact	NOUN
ejpam-3408	668	21	a	a	DET
ejpam-3408	668	22	generalization	generalization	NOUN
ejpam-3408	668	23	of	of	ADP
ejpam-3408	668	24	a	a	DET
ejpam-3408	668	25	commutative	commutative	ADJ
ejpam-3408	668	26	semigroup	semigroup	PROPN
ejpam-3408	668	27	ring	ring	NOUN
ejpam-3408	668	28	.	.	PUNCT
ejpam-3408	669	1	they	they	PRON
ejpam-3408	669	2	generalized	generalize	VERB
ejpam-3408	669	3	the	the	DET
ejpam-3408	669	4	structure	structure	NOUN
ejpam-3408	669	5	of	of	ADP
ejpam-3408	669	6	commutative	commutative	ADJ
ejpam-3408	669	7	semigroup	semigroup	PROPN
ejpam-3408	669	8	ring	ring	NOUN
ejpam-3408	669	9	(	(	PUNCT
ejpam-3408	669	10	ring	ring	NOUN
ejpam-3408	669	11	of	of	ADP
ejpam-3408	669	12	semigroup	semigroup	PROPN
ejpam-3408	669	13	s	s	PROPN
ejpam-3408	669	14	over	over	ADP
ejpam-3408	669	15	ring	ring	NOUN
ejpam-3408	669	16	r	r	NOUN
ejpam-3408	669	17	represented	represent	VERB
ejpam-3408	669	18	as	as	ADP
ejpam-3408	669	19	r[x;s	r[x;s	NUM
ejpam-3408	669	20	]	]	PUNCT
ejpam-3408	669	21	to	to	ADP
ejpam-3408	669	22	a	a	DET
ejpam-3408	669	23	nonassociative	nonassociative	ADJ
ejpam-3408	669	24	la	la	NOUN
ejpam-3408	669	25	-	-	PUNCT
ejpam-3408	669	26	ring	ring	NOUN
ejpam-3408	669	27	of	of	ADP
ejpam-3408	669	28	commutative	commutative	ADJ
ejpam-3408	669	29	semigroup	semigroup	PROPN
ejpam-3408	669	30	s	s	PROPN
ejpam-3408	669	31	over	over	ADP
ejpam-3408	669	32	la	la	ADJ
ejpam-3408	669	33	-	-	PUNCT
ejpam-3408	669	34	ring	ring	NOUN
ejpam-3408	669	35	r	r	NOUN
ejpam-3408	669	36	represented	represent	VERB
ejpam-3408	669	37	as	as	ADP
ejpam-3408	669	38	r[xs	r[xs	NOUN
ejpam-3408	669	39	;	;	PUNCT
ejpam-3408	669	40	s	s	AUX
ejpam-3408	669	41	∈	∈	PROPN
ejpam-3408	669	42	s	s	X
ejpam-3408	669	43	]	]	X
ejpam-3408	669	44	,	,	PUNCT
ejpam-3408	669	45	consisting	consist	VERB
ejpam-3408	669	46	of	of	ADP
ejpam-3408	669	47	finitely	finitely	ADJ
ejpam-3408	669	48	nonzero	nonzero	ADJ
ejpam-3408	669	49	functions	function	NOUN
ejpam-3408	669	50	.	.	PUNCT
ejpam-3408	670	1	nevertheless	nevertheless	ADV
ejpam-3408	670	2	it	it	PRON
ejpam-3408	670	3	also	also	ADV
ejpam-3408	670	4	possesses	possess	VERB
ejpam-3408	670	5	associative	associative	ADJ
ejpam-3408	670	6	ring	ring	NOUN
ejpam-3408	670	7	structures	structure	NOUN
ejpam-3408	670	8	.	.	PUNCT
ejpam-3408	671	1	furthermore	furthermore	ADV
ejpam-3408	671	2	they	they	PRON
ejpam-3408	671	3	also	also	ADV
ejpam-3408	671	4	discussed	discuss	VERB
ejpam-3408	671	5	the	the	DET
ejpam-3408	671	6	la	la	ADJ
ejpam-3408	671	7	-	-	PUNCT
ejpam-3408	671	8	ring	ring	NOUN
ejpam-3408	671	9	homomorphism	homomorphism	NOUN
ejpam-3408	671	10	.	.	PUNCT
ejpam-3408	672	1	on	on	ADP
ejpam-3408	672	2	the	the	DET
ejpam-3408	672	3	way	way	NOUN
ejpam-3408	672	4	the	the	DET
ejpam-3408	672	5	first	first	ADJ
ejpam-3408	672	6	ever	ever	ADJ
ejpam-3408	672	7	definition	definition	NOUN
ejpam-3408	672	8	of	of	ADP
ejpam-3408	672	9	la	la	NOUN
ejpam-3408	672	10	-	-	NOUN
ejpam-3408	672	11	module	module	NOUN
ejpam-3408	672	12	over	over	ADP
ejpam-3408	672	13	an	an	DET
ejpam-3408	672	14	la	la	NOUN
ejpam-3408	672	15	-	-	PUNCT
ejpam-3408	672	16	ring	ring	NOUN
ejpam-3408	672	17	was	be	AUX
ejpam-3408	672	18	given	give	VERB
ejpam-3408	672	19	by	by	ADP
ejpam-3408	672	20	shah	shah	NOUN
ejpam-3408	672	21	and	and	CCONJ
ejpam-3408	672	22	rehman	rehman	NOUN
ejpam-3408	672	23	in	in	ADP
ejpam-3408	672	24	the	the	DET
ejpam-3408	672	25	same	same	ADJ
ejpam-3408	672	26	paper	paper	NOUN
ejpam-3408	672	27	[	[	X
ejpam-3408	672	28	215	215	NUM
ejpam-3408	672	29	]	]	PUNCT
ejpam-3408	672	30	.	.	PUNCT
ejpam-3408	673	1	later	later	ADV
ejpam-3408	673	2	in	in	ADP
ejpam-3408	673	3	2010	2010	NUM
ejpam-3408	673	4	,	,	PUNCT
ejpam-3408	673	5	shah	shah	PROPN
ejpam-3408	673	6	et	et	PROPN
ejpam-3408	673	7	al	al	PROPN
ejpam-3408	673	8	.	.	PROPN
ejpam-3408	673	9	,	,	PUNCT
ejpam-3408	674	1	[	[	X
ejpam-3408	674	2	217	217	NUM
ejpam-3408	674	3	]	]	PUNCT
ejpam-3408	674	4	introduced	introduce	VERB
ejpam-3408	674	5	the	the	DET
ejpam-3408	674	6	notion	notion	NOUN
ejpam-3408	674	7	of	of	ADP
ejpam-3408	674	8	topological	topological	PROPN
ejpam-3408	674	9	la	la	ADJ
ejpam-3408	674	10	-	-	PUNCT
ejpam-3408	674	11	groups	group	NOUN
ejpam-3408	674	12	and	and	CCONJ
ejpam-3408	674	13	topological	topological	PROPN
ejpam-3408	674	14	la	la	PROPN
ejpam-3408	674	15	-	-	PUNCT
ejpam-3408	674	16	rings	ring	NOUN
ejpam-3408	674	17	which	which	PRON
ejpam-3408	674	18	are	be	AUX
ejpam-3408	674	19	some	some	DET
ejpam-3408	674	20	generalizations	generalization	NOUN
ejpam-3408	674	21	of	of	ADP
ejpam-3408	674	22	topological	topological	ADJ
ejpam-3408	674	23	groups	group	NOUN
ejpam-3408	674	24	and	and	CCONJ
ejpam-3408	674	25	topological	topological	ADJ
ejpam-3408	674	26	rings	ring	NOUN
ejpam-3408	674	27	respectively	respectively	ADV
ejpam-3408	674	28	.	.	PUNCT
ejpam-3408	675	1	they	they	PRON
ejpam-3408	675	2	extended	extend	VERB
ejpam-3408	675	3	some	some	DET
ejpam-3408	675	4	characterizations	characterization	NOUN
ejpam-3408	675	5	of	of	ADP
ejpam-3408	675	6	topological	topological	ADJ
ejpam-3408	675	7	groups	group	NOUN
ejpam-3408	675	8	and	and	CCONJ
ejpam-3408	675	9	topological	topological	ADJ
ejpam-3408	675	10	rings	ring	NOUN
ejpam-3408	675	11	to	to	ADP
ejpam-3408	675	12	topological	topological	ADJ
ejpam-3408	675	13	la	la	ADJ
ejpam-3408	675	14	-	-	PUNCT
ejpam-3408	675	15	groups	group	NOUN
ejpam-3408	675	16	and	and	CCONJ
ejpam-3408	675	17	topological	topological	PROPN
ejpam-3408	675	18	la	la	PROPN
ejpam-3408	675	19	-	-	PUNCT
ejpam-3408	675	20	rings	ring	NOUN
ejpam-3408	675	21	.	.	PUNCT
ejpam-3408	676	1	in	in	ADP
ejpam-3408	676	2	2011	2011	NUM
ejpam-3408	676	3	,	,	PUNCT
ejpam-3408	676	4	shah	shah	NOUN
ejpam-3408	676	5	and	and	CCONJ
ejpam-3408	676	6	shah	shah	NOUN
ejpam-3408	677	1	[	[	X
ejpam-3408	677	2	213	213	NUM
ejpam-3408	677	3	]	]	PUNCT
ejpam-3408	677	4	established	establish	VERB
ejpam-3408	677	5	some	some	DET
ejpam-3408	677	6	basic	basic	ADJ
ejpam-3408	677	7	and	and	CCONJ
ejpam-3408	677	8	structural	structural	ADJ
ejpam-3408	677	9	facts	fact	NOUN
ejpam-3408	677	10	of	of	ADP
ejpam-3408	677	11	la	la	NOUN
ejpam-3408	677	12	-	-	PUNCT
ejpam-3408	677	13	ring	ring	NOUN
ejpam-3408	677	14	which	which	DET
ejpam-3408	677	15	a.	a.	NOUN
ejpam-3408	677	16	razzaque	razzaque	NOUN
ejpam-3408	677	17	et	et	PROPN
ejpam-3408	677	18	al	al	PROPN
ejpam-3408	677	19	.	.	PUNCT
ejpam-3408	677	20	/	/	SYM
ejpam-3408	677	21	eur	eur	PROPN
ejpam-3408	677	22	.	.	PUNCT
ejpam-3408	678	1	j.	j.	PROPN
ejpam-3408	678	2	pure	pure	PROPN
ejpam-3408	678	3	appl	appl	PROPN
ejpam-3408	678	4	.	.	PROPN
ejpam-3408	678	5	math	math	PROPN
ejpam-3408	678	6	,	,	PUNCT
ejpam-3408	678	7	12	12	NUM
ejpam-3408	678	8	(	(	PUNCT
ejpam-3408	678	9	2	2	NUM
ejpam-3408	678	10	)	)	PUNCT
ejpam-3408	678	11	(	(	PUNCT
ejpam-3408	678	12	2019	2019	NUM
ejpam-3408	678	13	)	)	PUNCT
ejpam-3408	678	14	,	,	PUNCT
ejpam-3408	678	15	370	370	NUM
ejpam-3408	678	16	-	-	SYM
ejpam-3408	678	17	408	408	NUM
ejpam-3408	678	18	391	391	NUM
ejpam-3408	678	19	will	will	AUX
ejpam-3408	678	20	be	be	AUX
ejpam-3408	678	21	useful	useful	ADJ
ejpam-3408	678	22	for	for	ADP
ejpam-3408	678	23	future	future	ADJ
ejpam-3408	678	24	research	research	NOUN
ejpam-3408	678	25	on	on	ADP
ejpam-3408	678	26	la	la	ADJ
ejpam-3408	678	27	-	-	NOUN
ejpam-3408	678	28	ring	ring	NOUN
ejpam-3408	678	29	.	.	PUNCT
ejpam-3408	679	1	they	they	PRON
ejpam-3408	679	2	studied	study	VERB
ejpam-3408	679	3	basic	basic	ADJ
ejpam-3408	679	4	results	result	NOUN
ejpam-3408	679	5	such	such	ADJ
ejpam-3408	679	6	as	as	SCONJ
ejpam-3408	679	7	if	if	SCONJ
ejpam-3408	679	8	r	r	NOUN
ejpam-3408	679	9	is	be	AUX
ejpam-3408	679	10	an	an	DET
ejpam-3408	679	11	la	la	NOUN
ejpam-3408	679	12	-	-	PUNCT
ejpam-3408	679	13	ring	ring	NOUN
ejpam-3408	679	14	then	then	ADV
ejpam-3408	679	15	r	r	NOUN
ejpam-3408	679	16	can	can	AUX
ejpam-3408	679	17	not	not	PART
ejpam-3408	679	18	be	be	AUX
ejpam-3408	679	19	idempotent	idempotent	ADJ
ejpam-3408	679	20	and	and	CCONJ
ejpam-3408	679	21	also	also	ADV
ejpam-3408	679	22	(	(	PUNCT
ejpam-3408	679	23	a+	a+	PRON
ejpam-3408	679	24	b)2	b)2	PROPN
ejpam-3408	679	25	=	=	SYM
ejpam-3408	679	26	(	(	PUNCT
ejpam-3408	679	27	b+	b+	ADP
ejpam-3408	679	28	a)2	a)2	NOUN
ejpam-3408	679	29	for	for	ADP
ejpam-3408	679	30	all	all	DET
ejpam-3408	679	31	a	a	PRON
ejpam-3408	679	32	,	,	PUNCT
ejpam-3408	679	33	b	b	X
ejpam-3408	679	34	∈	∈	PROPN
ejpam-3408	679	35	r.	r.	PROPN
ejpam-3408	679	36	if	if	SCONJ
ejpam-3408	679	37	la	la	ADJ
ejpam-3408	679	38	-	-	PUNCT
ejpam-3408	679	39	ring	ring	NOUN
ejpam-3408	679	40	r	r	NOUN
ejpam-3408	679	41	has	have	AUX
ejpam-3408	679	42	left	leave	VERB
ejpam-3408	679	43	identity	identity	NOUN
ejpam-3408	679	44	e	e	NOUN
ejpam-3408	679	45	then	then	ADV
ejpam-3408	679	46	e+	e+	PUNCT
ejpam-3408	679	47	e	e	PROPN
ejpam-3408	679	48	6=	6=	PROPN
ejpam-3408	679	49	e	e	PROPN
ejpam-3408	679	50	,	,	PUNCT
ejpam-3408	679	51	e+	e+	VERB
ejpam-3408	679	52	0	0	NUM
ejpam-3408	679	53	6=	6=	ADP
ejpam-3408	679	54	e	e	NOUN
ejpam-3408	679	55	and	and	CCONJ
ejpam-3408	679	56	e	e	X
ejpam-3408	679	57	=	=	PUNCT
ejpam-3408	679	58	(	(	PUNCT
ejpam-3408	679	59	e+	e+	X
ejpam-3408	679	60	0)2	0)2	NOUN
ejpam-3408	679	61	.	.	PUNCT
ejpam-3408	680	1	if	if	SCONJ
ejpam-3408	680	2	r	r	NOUN
ejpam-3408	680	3	is	be	AUX
ejpam-3408	680	4	a	a	DET
ejpam-3408	680	5	cancellative	cancellative	ADJ
ejpam-3408	680	6	la	la	NOUN
ejpam-3408	680	7	-	-	NOUN
ejpam-3408	680	8	ring	ring	NOUN
ejpam-3408	680	9	with	with	ADP
ejpam-3408	680	10	left	left	ADJ
ejpam-3408	680	11	identity	identity	NOUN
ejpam-3408	680	12	e	e	NOUN
ejpam-3408	680	13	then	then	ADV
ejpam-3408	680	14	e	e	PROPN
ejpam-3408	680	15	+	+	NOUN
ejpam-3408	680	16	e	e	X
ejpam-3408	680	17	=	=	SYM
ejpam-3408	680	18	0	0	NUM
ejpam-3408	680	19	and	and	CCONJ
ejpam-3408	680	20	thus	thus	ADV
ejpam-3408	680	21	a	a	DET
ejpam-3408	680	22	+	+	NOUN
ejpam-3408	680	23	a	a	PRON
ejpam-3408	680	24	=	=	NOUN
ejpam-3408	680	25	0	0	NUM
ejpam-3408	680	26	for	for	ADP
ejpam-3408	680	27	all	all	DET
ejpam-3408	680	28	a	a	DET
ejpam-3408	680	29	∈	∈	PROPN
ejpam-3408	680	30	r.	r.	NOUN
ejpam-3408	680	31	an	an	DET
ejpam-3408	680	32	interesting	interesting	ADJ
ejpam-3408	680	33	result	result	NOUN
ejpam-3408	680	34	is	be	AUX
ejpam-3408	680	35	that	that	SCONJ
ejpam-3408	680	36	if	if	SCONJ
ejpam-3408	680	37	r	r	NOUN
ejpam-3408	680	38	is	be	AUX
ejpam-3408	680	39	an	an	DET
ejpam-3408	680	40	la	la	NOUN
ejpam-3408	680	41	-	-	NOUN
ejpam-3408	680	42	ring	ring	NOUN
ejpam-3408	680	43	with	with	ADP
ejpam-3408	680	44	left	left	ADJ
ejpam-3408	680	45	identity	identity	NOUN
ejpam-3408	680	46	e	e	NOUN
ejpam-3408	680	47	then	then	ADV
ejpam-3408	680	48	right	right	ADJ
ejpam-3408	680	49	distributivity	distributivity	NOUN
ejpam-3408	680	50	implies	imply	VERB
ejpam-3408	680	51	left	leave	VERB
ejpam-3408	680	52	distributivity	distributivity	NOUN
ejpam-3408	680	53	.	.	PUNCT
ejpam-3408	681	1	also	also	ADV
ejpam-3408	681	2	in	in	ADP
ejpam-3408	681	3	2011	2011	NUM
ejpam-3408	681	4	,	,	PUNCT
ejpam-3408	681	5	shah	shah	PROPN
ejpam-3408	681	6	et	et	PROPN
ejpam-3408	681	7	al	al	PROPN
ejpam-3408	681	8	.	.	PROPN
ejpam-3408	681	9	,	,	PUNCT
ejpam-3408	682	1	[	[	X
ejpam-3408	682	2	247	247	NUM
ejpam-3408	682	3	]	]	PUNCT
ejpam-3408	682	4	promoted	promote	VERB
ejpam-3408	682	5	the	the	DET
ejpam-3408	682	6	notion	notion	NOUN
ejpam-3408	682	7	of	of	ADP
ejpam-3408	682	8	la	la	NOUN
ejpam-3408	682	9	-	-	NOUN
ejpam-3408	682	10	module	module	NOUN
ejpam-3408	682	11	over	over	ADP
ejpam-3408	682	12	an	an	DET
ejpam-3408	682	13	la	la	ADJ
ejpam-3408	682	14	-	-	PUNCT
ejpam-3408	682	15	ring	ring	NOUN
ejpam-3408	682	16	defined	define	VERB
ejpam-3408	682	17	in	in	ADP
ejpam-3408	682	18	[	[	X
ejpam-3408	682	19	215	215	NUM
ejpam-3408	682	20	]	]	PUNCT
ejpam-3408	682	21	and	and	CCONJ
ejpam-3408	682	22	further	far	ADV
ejpam-3408	682	23	established	establish	VERB
ejpam-3408	682	24	the	the	DET
ejpam-3408	682	25	substructures	substructure	NOUN
ejpam-3408	682	26	,	,	PUNCT
ejpam-3408	682	27	operations	operation	NOUN
ejpam-3408	682	28	on	on	ADP
ejpam-3408	682	29	substructures	substructure	NOUN
ejpam-3408	682	30	and	and	CCONJ
ejpam-3408	682	31	quotient	quotient	NOUN
ejpam-3408	682	32	of	of	ADP
ejpam-3408	682	33	an	an	DET
ejpam-3408	682	34	la	la	NOUN
ejpam-3408	682	35	-	-	PUNCT
ejpam-3408	682	36	module	module	NOUN
ejpam-3408	682	37	by	by	ADP
ejpam-3408	682	38	its	its	PRON
ejpam-3408	682	39	la	la	ADJ
ejpam-3408	682	40	-	-	PUNCT
ejpam-3408	682	41	sub	sub	NOUN
ejpam-3408	682	42	module	module	NOUN
ejpam-3408	682	43	.	.	PUNCT
ejpam-3408	683	1	they	they	PRON
ejpam-3408	683	2	also	also	ADV
ejpam-3408	683	3	indicated	indicate	VERB
ejpam-3408	683	4	the	the	DET
ejpam-3408	683	5	non	non	ADJ
ejpam-3408	683	6	similarity	similarity	NOUN
ejpam-3408	683	7	of	of	ADP
ejpam-3408	683	8	an	an	DET
ejpam-3408	683	9	lamodule	lamodule	NOUN
ejpam-3408	683	10	to	to	ADP
ejpam-3408	683	11	the	the	DET
ejpam-3408	683	12	usual	usual	ADJ
ejpam-3408	683	13	notion	notion	NOUN
ejpam-3408	683	14	of	of	ADP
ejpam-3408	683	15	a	a	DET
ejpam-3408	683	16	module	module	NOUN
ejpam-3408	683	17	over	over	ADP
ejpam-3408	683	18	a	a	DET
ejpam-3408	683	19	commutative	commutative	ADJ
ejpam-3408	683	20	ring	ring	NOUN
ejpam-3408	683	21	.	.	PUNCT
ejpam-3408	684	1	moreover	moreover	ADV
ejpam-3408	684	2	,	,	PUNCT
ejpam-3408	684	3	in	in	ADP
ejpam-3408	684	4	2011	2011	NUM
ejpam-3408	684	5	,	,	PUNCT
ejpam-3408	684	6	shah	shah	NOUN
ejpam-3408	684	7	,	,	PUNCT
ejpam-3408	684	8	rehman	rehman	NOUN
ejpam-3408	684	9	and	and	CCONJ
ejpam-3408	684	10	raees	raee	NOUN
ejpam-3408	684	11	[	[	X
ejpam-3408	684	12	245	245	NUM
ejpam-3408	684	13	]	]	PUNCT
ejpam-3408	684	14	have	have	AUX
ejpam-3408	684	15	generalized	generalize	VERB
ejpam-3408	684	16	the	the	DET
ejpam-3408	684	17	concept	concept	NOUN
ejpam-3408	684	18	of	of	ADP
ejpam-3408	684	19	la	la	NOUN
ejpam-3408	684	20	-	-	NOUN
ejpam-3408	684	21	ring	ring	NOUN
ejpam-3408	684	22	by	by	ADP
ejpam-3408	684	23	introducing	introduce	VERB
ejpam-3408	684	24	the	the	DET
ejpam-3408	684	25	notion	notion	NOUN
ejpam-3408	684	26	of	of	ADP
ejpam-3408	684	27	near	near	ADV
ejpam-3408	684	28	left	left	ADJ
ejpam-3408	684	29	almost	almost	ADV
ejpam-3408	684	30	ring	ring	NOUN
ejpam-3408	684	31	(	(	PUNCT
ejpam-3408	684	32	abbreviated	abbreviate	VERB
ejpam-3408	684	33	as	as	ADP
ejpam-3408	684	34	nla	nla	NOUN
ejpam-3408	684	35	-	-	PUNCT
ejpam-3408	684	36	ring	ring	NOUN
ejpam-3408	684	37	)	)	PUNCT
ejpam-3408	684	38	(	(	PUNCT
ejpam-3408	684	39	r,+	r,+	NUM
ejpam-3408	684	40	,	,	PUNCT
ejpam-3408	684	41	·	·	PUNCT
ejpam-3408	684	42	)	)	PUNCT
ejpam-3408	684	43	.	.	PUNCT
ejpam-3408	685	1	(	(	PUNCT
ejpam-3408	685	2	r,+	r,+	NUM
ejpam-3408	685	3	)	)	PUNCT
ejpam-3408	685	4	is	be	AUX
ejpam-3408	685	5	an	an	DET
ejpam-3408	685	6	la	la	NOUN
ejpam-3408	685	7	-	-	NOUN
ejpam-3408	685	8	group	group	NOUN
ejpam-3408	685	9	,	,	PUNCT
ejpam-3408	685	10	(	(	PUNCT
ejpam-3408	685	11	r	r	NOUN
ejpam-3408	685	12	,	,	PUNCT
ejpam-3408	685	13	·	·	PUNCT
ejpam-3408	685	14	)	)	PUNCT
ejpam-3408	685	15	is	be	AUX
ejpam-3408	685	16	an	an	DET
ejpam-3408	685	17	la	la	ADJ
ejpam-3408	685	18	-	-	PUNCT
ejpam-3408	685	19	semigroup	semigroup	NOUN
ejpam-3408	685	20	and	and	CCONJ
ejpam-3408	685	21	one	one	NUM
ejpam-3408	685	22	distributive	distributive	ADJ
ejpam-3408	685	23	property	property	NOUN
ejpam-3408	685	24	of	of	ADP
ejpam-3408	685	25	“	"	PUNCT
ejpam-3408	685	26	·	·	PUNCT
ejpam-3408	685	27	”	"	PUNCT
ejpam-3408	685	28	over	over	ADP
ejpam-3408	685	29	“	"	PUNCT
ejpam-3408	685	30	+	+	ADJ
ejpam-3408	685	31	”	"	PUNCT
ejpam-3408	685	32	holds	hold	NOUN
ejpam-3408	685	33	,	,	PUNCT
ejpam-3408	685	34	where	where	SCONJ
ejpam-3408	685	35	both	both	DET
ejpam-3408	685	36	the	the	DET
ejpam-3408	685	37	binary	binary	PROPN
ejpam-3408	685	38	operations	operation	NOUN
ejpam-3408	685	39	“	"	PUNCT
ejpam-3408	685	40	+	+	PROPN
ejpam-3408	685	41	”	"	PUNCT
ejpam-3408	685	42	and	and	CCONJ
ejpam-3408	685	43	“	"	PUNCT
ejpam-3408	685	44	.	.	PUNCT
ejpam-3408	685	45	”	"	PUNCT
ejpam-3408	685	46	are	be	AUX
ejpam-3408	685	47	non	non	ADJ
ejpam-3408	685	48	-	-	ADJ
ejpam-3408	685	49	associative	associative	ADJ
ejpam-3408	685	50	.	.	PUNCT
ejpam-3408	686	1	in	in	ADP
ejpam-3408	686	2	continuation	continuation	NOUN
ejpam-3408	686	3	to	to	ADP
ejpam-3408	686	4	[	[	X
ejpam-3408	686	5	245	245	NUM
ejpam-3408	686	6	]	]	PUNCT
ejpam-3408	686	7	,	,	PUNCT
ejpam-3408	686	8	shah	shah	PROPN
ejpam-3408	686	9	,	,	PUNCT
ejpam-3408	686	10	ali	ali	PROPN
ejpam-3408	686	11	and	and	CCONJ
ejpam-3408	686	12	rehman	rehman	NOUN
ejpam-3408	686	13	[	[	X
ejpam-3408	686	14	246	246	NUM
ejpam-3408	686	15	]	]	PUNCT
ejpam-3408	686	16	in	in	ADP
ejpam-3408	686	17	2011	2011	NUM
ejpam-3408	686	18	characterized	characterize	VERB
ejpam-3408	686	19	nla	nla	NOUN
ejpam-3408	686	20	-	-	PUNCT
ejpam-3408	686	21	ring	ring	NOUN
ejpam-3408	686	22	through	through	ADP
ejpam-3408	686	23	its	its	PRON
ejpam-3408	686	24	ideals	ideal	NOUN
ejpam-3408	686	25	.	.	PUNCT
ejpam-3408	687	1	they	they	PRON
ejpam-3408	687	2	have	have	AUX
ejpam-3408	687	3	shown	show	VERB
ejpam-3408	687	4	that	that	SCONJ
ejpam-3408	687	5	the	the	DET
ejpam-3408	687	6	sum	sum	NOUN
ejpam-3408	687	7	of	of	ADP
ejpam-3408	687	8	ideals	ideal	NOUN
ejpam-3408	687	9	is	be	AUX
ejpam-3408	687	10	again	again	ADV
ejpam-3408	687	11	an	an	DET
ejpam-3408	687	12	ideal	ideal	NOUN
ejpam-3408	687	13	,	,	PUNCT
ejpam-3408	687	14	and	and	CCONJ
ejpam-3408	687	15	established	establish	VERB
ejpam-3408	687	16	the	the	DET
ejpam-3408	687	17	necessary	necessary	ADJ
ejpam-3408	687	18	and	and	CCONJ
ejpam-3408	687	19	sufficient	sufficient	ADJ
ejpam-3408	687	20	condition	condition	NOUN
ejpam-3408	687	21	for	for	ADP
ejpam-3408	687	22	an	an	DET
ejpam-3408	687	23	nla	nla	NOUN
ejpam-3408	687	24	-	-	PUNCT
ejpam-3408	687	25	ring	ring	NOUN
ejpam-3408	687	26	to	to	PART
ejpam-3408	687	27	be	be	AUX
ejpam-3408	687	28	direct	direct	ADJ
ejpam-3408	687	29	sum	sum	NOUN
ejpam-3408	687	30	of	of	ADP
ejpam-3408	687	31	its	its	PRON
ejpam-3408	687	32	ideals	ideal	NOUN
ejpam-3408	687	33	.	.	PUNCT
ejpam-3408	688	1	furthermore	furthermore	ADV
ejpam-3408	688	2	,	,	PUNCT
ejpam-3408	688	3	they	they	PRON
ejpam-3408	688	4	observed	observe	VERB
ejpam-3408	688	5	that	that	SCONJ
ejpam-3408	688	6	the	the	DET
ejpam-3408	688	7	product	product	NOUN
ejpam-3408	688	8	of	of	ADP
ejpam-3408	688	9	ideals	ideal	NOUN
ejpam-3408	688	10	is	be	AUX
ejpam-3408	688	11	just	just	ADV
ejpam-3408	688	12	a	a	DET
ejpam-3408	688	13	left	left	ADJ
ejpam-3408	688	14	ideal	ideal	NOUN
ejpam-3408	688	15	.	.	PUNCT
ejpam-3408	689	1	in	in	ADP
ejpam-3408	689	2	2012	2012	NUM
ejpam-3408	689	3	,	,	PUNCT
ejpam-3408	689	4	shah	shah	NOUN
ejpam-3408	689	5	and	and	CCONJ
ejpam-3408	689	6	rehman	rehman	NOUN
ejpam-3408	689	7	[	[	X
ejpam-3408	689	8	216	216	NUM
ejpam-3408	689	9	]	]	PUNCT
ejpam-3408	689	10	explored	explore	VERB
ejpam-3408	689	11	some	some	DET
ejpam-3408	689	12	notations	notation	NOUN
ejpam-3408	689	13	of	of	ADP
ejpam-3408	689	14	ideals	ideal	NOUN
ejpam-3408	689	15	and	and	CCONJ
ejpam-3408	689	16	m	m	NOUN
ejpam-3408	689	17	-	-	NOUN
ejpam-3408	689	18	systems	system	NOUN
ejpam-3408	689	19	in	in	ADP
ejpam-3408	689	20	laring	laring	NOUN
ejpam-3408	689	21	.	.	PUNCT
ejpam-3408	690	1	they	they	PRON
ejpam-3408	690	2	characterized	characterize	VERB
ejpam-3408	690	3	la	la	NOUN
ejpam-3408	690	4	-	-	PUNCT
ejpam-3408	690	5	rings	ring	NOUN
ejpam-3408	690	6	through	through	ADP
ejpam-3408	690	7	some	some	DET
ejpam-3408	690	8	properties	property	NOUN
ejpam-3408	690	9	of	of	ADP
ejpam-3408	690	10	their	their	PRON
ejpam-3408	690	11	ideals	ideal	NOUN
ejpam-3408	690	12	.	.	PUNCT
ejpam-3408	691	1	moreover	moreover	ADV
ejpam-3408	691	2	,	,	PUNCT
ejpam-3408	691	3	they	they	PRON
ejpam-3408	691	4	also	also	ADV
ejpam-3408	691	5	established	establish	VERB
ejpam-3408	691	6	that	that	SCONJ
ejpam-3408	691	7	if	if	SCONJ
ejpam-3408	691	8	every	every	DET
ejpam-3408	691	9	subtractive	subtractive	NOUN
ejpam-3408	691	10	subset	subset	NOUN
ejpam-3408	691	11	of	of	ADP
ejpam-3408	691	12	an	an	DET
ejpam-3408	691	13	la	la	ADJ
ejpam-3408	691	14	-	-	PUNCT
ejpam-3408	691	15	ring	ring	NOUN
ejpam-3408	691	16	r	r	NOUN
ejpam-3408	691	17	is	be	AUX
ejpam-3408	691	18	semi	semi	ADJ
ejpam-3408	691	19	-	-	ADJ
ejpam-3408	691	20	subtractive	subtractive	ADJ
ejpam-3408	691	21	and	and	CCONJ
ejpam-3408	691	22	also	also	ADV
ejpam-3408	691	23	every	every	DET
ejpam-3408	691	24	quasi	quasi	ADJ
ejpam-3408	691	25	-	-	ADJ
ejpam-3408	691	26	prime	prime	ADJ
ejpam-3408	691	27	ideal	ideal	NOUN
ejpam-3408	691	28	of	of	ADP
ejpam-3408	691	29	an	an	DET
ejpam-3408	691	30	la	la	ADJ
ejpam-3408	691	31	-	-	PUNCT
ejpam-3408	691	32	ring	ring	NOUN
ejpam-3408	691	33	r	r	NOUN
ejpam-3408	691	34	with	with	ADP
ejpam-3408	691	35	left	left	ADJ
ejpam-3408	691	36	identity	identity	NOUN
ejpam-3408	691	37	e	e	NOUN
ejpam-3408	691	38	is	be	AUX
ejpam-3408	691	39	semi	semi	ADJ
ejpam-3408	691	40	-	-	ADJ
ejpam-3408	691	41	subtractive	subtractive	ADJ
ejpam-3408	691	42	.	.	PUNCT
ejpam-3408	692	1	also	also	ADV
ejpam-3408	692	2	in	in	ADP
ejpam-3408	692	3	2012	2012	NUM
ejpam-3408	692	4	,	,	PUNCT
ejpam-3408	692	5	shah	shah	PROPN
ejpam-3408	692	6	et	et	PROPN
ejpam-3408	692	7	al	al	PROPN
ejpam-3408	692	8	.	.	PROPN
ejpam-3408	692	9	,	,	PUNCT
ejpam-3408	693	1	[	[	X
ejpam-3408	693	2	248	248	NUM
ejpam-3408	693	3	]	]	PUNCT
ejpam-3408	693	4	investigated	investigate	VERB
ejpam-3408	693	5	the	the	DET
ejpam-3408	693	6	intuitionistic	intuitionistic	ADJ
ejpam-3408	693	7	fuzzy	fuzzy	ADJ
ejpam-3408	693	8	normal	normal	ADJ
ejpam-3408	693	9	sub	sub	NOUN
ejpam-3408	693	10	-	-	NOUN
ejpam-3408	693	11	rings	ring	NOUN
ejpam-3408	693	12	in	in	ADP
ejpam-3408	693	13	non	non	ADJ
ejpam-3408	693	14	-	-	ADJ
ejpam-3408	693	15	associative	associative	ADJ
ejpam-3408	693	16	rings	ring	NOUN
ejpam-3408	693	17	.	.	PUNCT
ejpam-3408	694	1	in	in	ADP
ejpam-3408	694	2	their	their	PRON
ejpam-3408	694	3	study	study	NOUN
ejpam-3408	694	4	they	they	PRON
ejpam-3408	694	5	extended	extend	VERB
ejpam-3408	694	6	the	the	DET
ejpam-3408	694	7	notions	notion	NOUN
ejpam-3408	694	8	for	for	ADP
ejpam-3408	694	9	a	a	DET
ejpam-3408	694	10	class	class	NOUN
ejpam-3408	694	11	of	of	ADP
ejpam-3408	694	12	non	non	ADJ
ejpam-3408	694	13	-	-	ADJ
ejpam-3408	694	14	associative	associative	ADJ
ejpam-3408	694	15	rings	ring	NOUN
ejpam-3408	694	16	i.e.	i.e.	X
ejpam-3408	694	17	;	;	PUNCT
ejpam-3408	694	18	la	la	ADJ
ejpam-3408	694	19	-	-	NOUN
ejpam-3408	694	20	ring	ring	NOUN
ejpam-3408	694	21	.	.	PUNCT
ejpam-3408	695	1	they	they	PRON
ejpam-3408	695	2	established	establish	VERB
ejpam-3408	695	3	the	the	DET
ejpam-3408	695	4	notion	notion	NOUN
ejpam-3408	695	5	of	of	ADP
ejpam-3408	695	6	intuitionistic	intuitionistic	ADJ
ejpam-3408	695	7	fuzzy	fuzzy	ADJ
ejpam-3408	695	8	normal	normal	ADJ
ejpam-3408	695	9	la	la	NOUN
ejpam-3408	695	10	-	-	PUNCT
ejpam-3408	695	11	subrings	subring	NOUN
ejpam-3408	695	12	of	of	ADP
ejpam-3408	695	13	la	la	NOUN
ejpam-3408	695	14	-	-	PUNCT
ejpam-3408	695	15	rings	ring	NOUN
ejpam-3408	695	16	.	.	PUNCT
ejpam-3408	696	1	specifically	specifically	ADV
ejpam-3408	696	2	they	they	PRON
ejpam-3408	696	3	proved	prove	VERB
ejpam-3408	696	4	that	that	SCONJ
ejpam-3408	696	5	if	if	SCONJ
ejpam-3408	696	6	an	an	DET
ejpam-3408	696	7	ifsa	ifsa	NOUN
ejpam-3408	696	8	=	=	SYM
ejpam-3408	696	9	(	(	PUNCT
ejpam-3408	696	10	µa	µa	PROPN
ejpam-3408	696	11	,	,	PUNCT
ejpam-3408	696	12	γa	γa	PROPN
ejpam-3408	696	13	)	)	PUNCT
ejpam-3408	696	14	is	be	AUX
ejpam-3408	696	15	an	an	DET
ejpam-3408	696	16	intuitionistic	intuitionistic	ADJ
ejpam-3408	696	17	fuzzy	fuzzy	ADJ
ejpam-3408	696	18	normal	normal	ADJ
ejpam-3408	696	19	la	la	NOUN
ejpam-3408	696	20	-	-	PUNCT
ejpam-3408	696	21	subring	subring	NOUN
ejpam-3408	696	22	of	of	ADP
ejpam-3408	696	23	an	an	DET
ejpam-3408	696	24	la	la	ADJ
ejpam-3408	696	25	-	-	PUNCT
ejpam-3408	696	26	ring	ring	NOUN
ejpam-3408	696	27	r	r	NOUN
ejpam-3408	696	28	if	if	SCONJ
ejpam-3408	696	29	and	and	CCONJ
ejpam-3408	696	30	only	only	ADV
ejpam-3408	696	31	if	if	SCONJ
ejpam-3408	696	32	the	the	DET
ejpam-3408	696	33	fuzzy	fuzzy	ADJ
ejpam-3408	696	34	sets	set	VERB
ejpam-3408	696	35	µa	µa	NOUN
ejpam-3408	696	36	and	and	CCONJ
ejpam-3408	696	37	¯	¯	PRON
ejpam-3408	696	38	γa	γa	NOUN
ejpam-3408	696	39	are	be	AUX
ejpam-3408	696	40	fuzzy	fuzzy	ADJ
ejpam-3408	696	41	normal	normal	ADJ
ejpam-3408	696	42	la	la	ADJ
ejpam-3408	696	43	-	-	PUNCT
ejpam-3408	696	44	subrings	subring	NOUN
ejpam-3408	696	45	of	of	ADP
ejpam-3408	696	46	r.	r.	PROPN
ejpam-3408	696	47	also	also	ADV
ejpam-3408	696	48	they	they	PRON
ejpam-3408	696	49	showed	show	VERB
ejpam-3408	696	50	that	that	SCONJ
ejpam-3408	696	51	an	an	DET
ejpam-3408	696	52	ifsa	ifsa	NOUN
ejpam-3408	696	53	=	=	SYM
ejpam-3408	696	54	(	(	PUNCT
ejpam-3408	696	55	µa	µa	PROPN
ejpam-3408	696	56	,	,	PUNCT
ejpam-3408	696	57	γa	γa	PROPN
ejpam-3408	696	58	)	)	PUNCT
ejpam-3408	696	59	is	be	AUX
ejpam-3408	696	60	an	an	DET
ejpam-3408	696	61	intuitionistic	intuitionistic	ADJ
ejpam-3408	696	62	fuzzy	fuzzy	ADJ
ejpam-3408	696	63	normal	normal	ADJ
ejpam-3408	696	64	la	la	NOUN
ejpam-3408	696	65	-	-	PUNCT
ejpam-3408	696	66	subring	subring	NOUN
ejpam-3408	696	67	of	of	ADP
ejpam-3408	696	68	an	an	DET
ejpam-3408	696	69	la	la	ADJ
ejpam-3408	696	70	-	-	PUNCT
ejpam-3408	696	71	ring	ring	NOUN
ejpam-3408	696	72	r	r	NOUN
ejpam-3408	696	73	if	if	SCONJ
ejpam-3408	696	74	and	and	CCONJ
ejpam-3408	696	75	only	only	ADV
ejpam-3408	696	76	if	if	SCONJ
ejpam-3408	696	77	the	the	DET
ejpam-3408	696	78	fuzzy	fuzzy	ADJ
ejpam-3408	696	79	sets	set	VERB
ejpam-3408	696	80	¯	¯	VERB
ejpam-3408	696	81	µa	µa	NOUN
ejpam-3408	696	82	and	and	CCONJ
ejpam-3408	696	83	γa	γa	PROPN
ejpam-3408	696	84	are	be	AUX
ejpam-3408	696	85	anti	anti	ADJ
ejpam-3408	696	86	-	-	ADJ
ejpam-3408	696	87	fuzzy	fuzzy	ADJ
ejpam-3408	696	88	normal	normal	ADJ
ejpam-3408	696	89	la	la	ADJ
ejpam-3408	696	90	-	-	PUNCT
ejpam-3408	696	91	subrings	subring	NOUN
ejpam-3408	696	92	of	of	ADP
ejpam-3408	696	93	r.	r.	PROPN
ejpam-3408	696	94	in	in	ADP
ejpam-3408	696	95	2013	2013	NUM
ejpam-3408	696	96	,	,	PUNCT
ejpam-3408	696	97	a	a	DET
ejpam-3408	696	98	notable	notable	ADJ
ejpam-3408	696	99	development	development	NOUN
ejpam-3408	696	100	was	be	AUX
ejpam-3408	696	101	done	do	VERB
ejpam-3408	696	102	by	by	ADP
ejpam-3408	696	103	rehman	rehman	PROPN
ejpam-3408	696	104	et	et	PROPN
ejpam-3408	696	105	al	al	PROPN
ejpam-3408	696	106	.	.	PROPN
ejpam-3408	696	107	,	,	PUNCT
ejpam-3408	697	1	[	[	X
ejpam-3408	697	2	106	106	X
ejpam-3408	697	3	]	]	X
ejpam-3408	697	4	when	when	SCONJ
ejpam-3408	697	5	the	the	DET
ejpam-3408	697	6	existence	existence	NOUN
ejpam-3408	697	7	of	of	ADP
ejpam-3408	697	8	la	la	NOUN
ejpam-3408	697	9	-	-	PUNCT
ejpam-3408	697	10	ring	ring	NOUN
ejpam-3408	697	11	was	be	AUX
ejpam-3408	697	12	shown	show	VERB
ejpam-3408	697	13	by	by	ADP
ejpam-3408	697	14	giving	give	VERB
ejpam-3408	697	15	the	the	DET
ejpam-3408	697	16	non	non	ADJ
ejpam-3408	697	17	-	-	ADJ
ejpam-3408	697	18	trivial	trivial	ADJ
ejpam-3408	697	19	examples	example	NOUN
ejpam-3408	697	20	of	of	ADP
ejpam-3408	697	21	la	la	NOUN
ejpam-3408	697	22	-	-	NOUN
ejpam-3408	697	23	ring	ring	NOUN
ejpam-3408	697	24	.	.	PUNCT
ejpam-3408	698	1	the	the	DET
ejpam-3408	698	2	authors	author	NOUN
ejpam-3408	698	3	showed	show	VERB
ejpam-3408	698	4	the	the	DET
ejpam-3408	698	5	existence	existence	NOUN
ejpam-3408	698	6	of	of	ADP
ejpam-3408	698	7	la	la	ADJ
ejpam-3408	698	8	-	-	PUNCT
ejpam-3408	698	9	ring	ring	NOUN
ejpam-3408	698	10	using	use	VERB
ejpam-3408	698	11	the	the	DET
ejpam-3408	698	12	mathematical	mathematical	ADJ
ejpam-3408	698	13	program	program	NOUN
ejpam-3408	698	14	mace4	mace4	NOUN
ejpam-3408	698	15	.	.	PUNCT
ejpam-3408	699	1	with	with	ADP
ejpam-3408	699	2	the	the	DET
ejpam-3408	699	3	existence	existence	NOUN
ejpam-3408	699	4	of	of	ADP
ejpam-3408	699	5	nontrivial	nontrivial	ADJ
ejpam-3408	699	6	la	la	PROPN
ejpam-3408	699	7	-	-	PUNCT
ejpam-3408	699	8	ring	ring	NOUN
ejpam-3408	699	9	,	,	PUNCT
ejpam-3408	699	10	ultimately	ultimately	ADV
ejpam-3408	699	11	the	the	DET
ejpam-3408	699	12	authors	author	NOUN
ejpam-3408	699	13	were	be	AUX
ejpam-3408	699	14	able	able	ADJ
ejpam-3408	699	15	to	to	PART
ejpam-3408	699	16	abolish	abolish	VERB
ejpam-3408	699	17	the	the	DET
ejpam-3408	699	18	ambiguity	ambiguity	NOUN
ejpam-3408	699	19	about	about	ADP
ejpam-3408	699	20	the	the	DET
ejpam-3408	699	21	associative	associative	ADJ
ejpam-3408	699	22	multiplication	multiplication	NOUN
ejpam-3408	699	23	because	because	SCONJ
ejpam-3408	699	24	the	the	DET
ejpam-3408	699	25	first	first	ADJ
ejpam-3408	699	26	example	example	NOUN
ejpam-3408	699	27	on	on	ADP
ejpam-3408	699	28	la	la	ADJ
ejpam-3408	699	29	-	-	NOUN
ejpam-3408	699	30	ring	ring	NOUN
ejpam-3408	699	31	given	give	VERB
ejpam-3408	699	32	by	by	ADP
ejpam-3408	699	33	yusuf	yusuf	PROPN
ejpam-3408	699	34	[	[	X
ejpam-3408	699	35	265	265	NUM
ejpam-3408	699	36	]	]	PUNCT
ejpam-3408	699	37	was	be	AUX
ejpam-3408	699	38	trivial	trivial	ADJ
ejpam-3408	699	39	.	.	PUNCT
ejpam-3408	700	1	also	also	ADV
ejpam-3408	700	2	in	in	ADP
ejpam-3408	700	3	2013	2013	NUM
ejpam-3408	700	4	,	,	PUNCT
ejpam-3408	700	5	gaketem	gaketem	NOUN
ejpam-3408	700	6	[	[	X
ejpam-3408	700	7	53	53	NUM
ejpam-3408	700	8	]	]	PUNCT
ejpam-3408	700	9	studied	study	VERB
ejpam-3408	700	10	the	the	DET
ejpam-3408	700	11	properties	property	NOUN
ejpam-3408	700	12	of	of	ADP
ejpam-3408	700	13	quasi	quasi	NOUN
ejpam-3408	700	14	-	-	NOUN
ejpam-3408	700	15	ideals	ideal	NOUN
ejpam-3408	700	16	of	of	ADP
ejpam-3408	700	17	p	p	DET
ejpam-3408	700	18	-regular	-regular	ADJ
ejpam-3408	700	19	nla	nla	NOUN
ejpam-3408	700	20	-	-	PUNCT
ejpam-3408	700	21	ring	ring	NOUN
ejpam-3408	700	22	which	which	PRON
ejpam-3408	700	23	is	be	AUX
ejpam-3408	700	24	in	in	ADP
ejpam-3408	700	25	fact	fact	NOUN
ejpam-3408	700	26	a	a	DET
ejpam-3408	700	27	generalization	generalization	NOUN
ejpam-3408	700	28	of	of	ADP
ejpam-3408	700	29	la	la	NOUN
ejpam-3408	700	30	-	-	PUNCT
ejpam-3408	700	31	ring	ring	NOUN
ejpam-3408	700	32	.	.	PUNCT
ejpam-3408	701	1	in	in	ADP
ejpam-3408	701	2	2014	2014	NUM
ejpam-3408	701	3	,	,	PUNCT
ejpam-3408	701	4	alghamdi	alghamdi	NOUN
ejpam-3408	701	5	and	and	CCONJ
ejpam-3408	701	6	sahraoui	sahraoui	NOUN
ejpam-3408	701	7	[	[	X
ejpam-3408	701	8	8	8	NUM
ejpam-3408	701	9	]	]	PUNCT
ejpam-3408	701	10	broaden	broaden	VERB
ejpam-3408	701	11	the	the	DET
ejpam-3408	701	12	concept	concept	NOUN
ejpam-3408	701	13	of	of	ADP
ejpam-3408	701	14	la	la	ADJ
ejpam-3408	701	15	-	-	NOUN
ejpam-3408	701	16	module	module	NOUN
ejpam-3408	701	17	given	give	VERB
ejpam-3408	701	18	in	in	ADP
ejpam-3408	701	19	the	the	DET
ejpam-3408	701	20	paper	paper	NOUN
ejpam-3408	702	1	[	[	X
ejpam-3408	702	2	215	215	NUM
ejpam-3408	702	3	]	]	PUNCT
ejpam-3408	702	4	by	by	ADP
ejpam-3408	702	5	constructing	construct	VERB
ejpam-3408	702	6	a	a	DET
ejpam-3408	702	7	tensor	tensor	NOUN
ejpam-3408	702	8	product	product	NOUN
ejpam-3408	702	9	of	of	ADP
ejpam-3408	702	10	la	la	NOUN
ejpam-3408	702	11	-	-	PUNCT
ejpam-3408	702	12	modules	module	NOUN
ejpam-3408	702	13	.	.	PUNCT
ejpam-3408	703	1	although	although	SCONJ
ejpam-3408	703	2	,	,	PUNCT
ejpam-3408	703	3	la	la	ADJ
ejpam-3408	703	4	-	-	PUNCT
ejpam-3408	703	5	groups	group	NOUN
ejpam-3408	703	6	and	and	CCONJ
ejpam-3408	703	7	la	la	ADJ
ejpam-3408	703	8	-	-	PUNCT
ejpam-3408	703	9	modules	module	NOUN
ejpam-3408	703	10	need	need	VERB
ejpam-3408	703	11	not	not	PART
ejpam-3408	703	12	to	to	PART
ejpam-3408	703	13	be	be	AUX
ejpam-3408	703	14	abelian	abelian	ADJ
ejpam-3408	703	15	,	,	PUNCT
ejpam-3408	703	16	the	the	DET
ejpam-3408	703	17	new	new	ADJ
ejpam-3408	703	18	construction	construction	NOUN
ejpam-3408	703	19	behaves	behave	VERB
ejpam-3408	703	20	like	like	ADP
ejpam-3408	703	21	standard	standard	ADJ
ejpam-3408	703	22	definition	definition	NOUN
ejpam-3408	703	23	of	of	ADP
ejpam-3408	703	24	the	the	DET
ejpam-3408	703	25	tensor	tensor	NOUN
ejpam-3408	703	26	product	product	NOUN
ejpam-3408	703	27	of	of	ADP
ejpam-3408	703	28	usual	usual	ADJ
ejpam-3408	703	29	modules	module	NOUN
ejpam-3408	703	30	over	over	ADP
ejpam-3408	703	31	a	a	DET
ejpam-3408	703	32	ring	ring	NOUN
ejpam-3408	703	33	.	.	PUNCT
ejpam-3408	704	1	they	they	PRON
ejpam-3408	704	2	also	also	ADV
ejpam-3408	704	3	then	then	ADV
ejpam-3408	704	4	extended	extend	VERB
ejpam-3408	704	5	some	some	DET
ejpam-3408	704	6	simple	simple	ADJ
ejpam-3408	704	7	results	result	NOUN
ejpam-3408	704	8	from	from	ADP
ejpam-3408	704	9	the	the	DET
ejpam-3408	704	10	ordinary	ordinary	ADJ
ejpam-3408	704	11	tensor	tensor	NOUN
ejpam-3408	704	12	to	to	ADP
ejpam-3408	704	13	the	the	DET
ejpam-3408	704	14	new	new	ADJ
ejpam-3408	704	15	setting	setting	NOUN
ejpam-3408	704	16	.	.	PUNCT
ejpam-3408	705	1	in	in	ADP
ejpam-3408	705	2	addition	addition	NOUN
ejpam-3408	705	3	,	,	PUNCT
ejpam-3408	705	4	yiarayong	yiarayong	PROPN
ejpam-3408	706	1	[	[	X
ejpam-3408	706	2	263	263	NUM
ejpam-3408	706	3	]	]	PUNCT
ejpam-3408	706	4	in	in	ADP
ejpam-3408	706	5	2014	2014	NUM
ejpam-3408	706	6	studied	study	VERB
ejpam-3408	706	7	left	leave	VERB
ejpam-3408	706	8	ideals	ideal	NOUN
ejpam-3408	706	9	,	,	PUNCT
ejpam-3408	706	10	left	leave	VERB
ejpam-3408	706	11	primary	primary	ADJ
ejpam-3408	706	12	and	and	CCONJ
ejpam-3408	706	13	weakly	weakly	ADJ
ejpam-3408	706	14	left	left	ADJ
ejpam-3408	706	15	primary	primary	ADJ
ejpam-3408	706	16	ideals	ideal	NOUN
ejpam-3408	706	17	in	in	ADP
ejpam-3408	706	18	la	la	NOUN
ejpam-3408	706	19	-	-	PUNCT
ejpam-3408	706	20	rings	ring	NOUN
ejpam-3408	706	21	.	.	PUNCT
ejpam-3408	707	1	some	some	DET
ejpam-3408	707	2	characterizations	characterization	NOUN
ejpam-3408	707	3	of	of	ADP
ejpam-3408	707	4	left	left	ADJ
ejpam-3408	707	5	primary	primary	ADJ
ejpam-3408	707	6	and	and	CCONJ
ejpam-3408	707	7	weakly	weakly	ADJ
ejpam-3408	707	8	left	left	ADJ
ejpam-3408	707	9	primary	primary	ADJ
ejpam-3408	707	10	ideals	ideal	NOUN
ejpam-3408	707	11	were	be	AUX
ejpam-3408	707	12	obtained	obtain	VERB
ejpam-3408	707	13	.	.	PUNCT
ejpam-3408	708	1	moreover	moreover	ADV
ejpam-3408	708	2	,	,	PUNCT
ejpam-3408	708	3	the	the	DET
ejpam-3408	708	4	author	author	NOUN
ejpam-3408	708	5	investigated	investigate	VERB
ejpam-3408	708	6	relationships	relationship	NOUN
ejpam-3408	708	7	references	reference	NOUN
ejpam-3408	708	8	392	392	NUM
ejpam-3408	708	9	of	of	ADP
ejpam-3408	708	10	left	left	ADJ
ejpam-3408	708	11	primary	primary	ADJ
ejpam-3408	708	12	and	and	CCONJ
ejpam-3408	708	13	weakly	weakly	ADJ
ejpam-3408	708	14	left	left	ADJ
ejpam-3408	708	15	primary	primary	ADJ
ejpam-3408	708	16	ideals	ideal	NOUN
ejpam-3408	708	17	in	in	ADP
ejpam-3408	708	18	la	la	NOUN
ejpam-3408	708	19	-	-	PUNCT
ejpam-3408	708	20	rings	ring	NOUN
ejpam-3408	708	21	.	.	PUNCT
ejpam-3408	709	1	finally	finally	ADV
ejpam-3408	709	2	,	,	PUNCT
ejpam-3408	709	3	he	he	PRON
ejpam-3408	709	4	obtained	obtain	VERB
ejpam-3408	709	5	necessary	necessary	ADJ
ejpam-3408	709	6	and	and	CCONJ
ejpam-3408	709	7	sufficient	sufficient	ADJ
ejpam-3408	709	8	conditions	condition	NOUN
ejpam-3408	709	9	of	of	ADP
ejpam-3408	709	10	a	a	DET
ejpam-3408	709	11	weakly	weakly	ADJ
ejpam-3408	709	12	left	left	ADJ
ejpam-3408	709	13	primary	primary	ADJ
ejpam-3408	709	14	ideal	ideal	NOUN
ejpam-3408	709	15	to	to	PART
ejpam-3408	709	16	be	be	AUX
ejpam-3408	709	17	a	a	DET
ejpam-3408	709	18	left	left	ADJ
ejpam-3408	709	19	primary	primary	ADJ
ejpam-3408	709	20	ideal	ideal	NOUN
ejpam-3408	709	21	in	in	ADP
ejpam-3408	709	22	la	la	NOUN
ejpam-3408	709	23	-	-	PUNCT
ejpam-3408	709	24	rings	ring	NOUN
ejpam-3408	709	25	.	.	PUNCT
ejpam-3408	710	1	recently	recently	ADV
ejpam-3408	710	2	,	,	PUNCT
ejpam-3408	710	3	in	in	ADP
ejpam-3408	710	4	2015	2015	NUM
ejpam-3408	710	5	,	,	PUNCT
ejpam-3408	710	6	hussain	hussain	PROPN
ejpam-3408	710	7	and	and	CCONJ
ejpam-3408	710	8	w.	w.	PROPN
ejpam-3408	710	9	khan	khan	PROPN
ejpam-3408	711	1	[	[	X
ejpam-3408	711	2	104	104	X
ejpam-3408	711	3	]	]	PUNCT
ejpam-3408	711	4	characterized	characterize	VERB
ejpam-3408	711	5	la	la	NOUN
ejpam-3408	711	6	-	-	PUNCT
ejpam-3408	711	7	rings	ring	NOUN
ejpam-3408	711	8	by	by	ADP
ejpam-3408	711	9	congruence	congruence	NOUN
ejpam-3408	711	10	relations	relation	NOUN
ejpam-3408	711	11	.	.	PUNCT
ejpam-3408	712	1	they	they	PRON
ejpam-3408	712	2	had	have	AUX
ejpam-3408	712	3	shown	show	VERB
ejpam-3408	712	4	that	that	SCONJ
ejpam-3408	712	5	each	each	DET
ejpam-3408	712	6	homomorphism	homomorphism	NOUN
ejpam-3408	712	7	of	of	ADP
ejpam-3408	712	8	la	la	PROPN
ejpam-3408	712	9	-	-	PUNCT
ejpam-3408	712	10	rings	ring	NOUN
ejpam-3408	712	11	defines	define	VERB
ejpam-3408	712	12	a	a	DET
ejpam-3408	712	13	congruence	congruence	NOUN
ejpam-3408	712	14	relation	relation	NOUN
ejpam-3408	712	15	on	on	ADP
ejpam-3408	712	16	la	la	NOUN
ejpam-3408	712	17	-	-	PUNCT
ejpam-3408	712	18	rings	ring	NOUN
ejpam-3408	712	19	.	.	PUNCT
ejpam-3408	713	1	they	they	PRON
ejpam-3408	713	2	also	also	ADV
ejpam-3408	713	3	then	then	ADV
ejpam-3408	713	4	discussed	discuss	VERB
ejpam-3408	713	5	quotient	quotient	NOUN
ejpam-3408	713	6	larings	laring	NOUN
ejpam-3408	713	7	.	.	PUNCT
ejpam-3408	714	1	at	at	ADP
ejpam-3408	714	2	the	the	DET
ejpam-3408	714	3	end	end	NOUN
ejpam-3408	714	4	they	they	PRON
ejpam-3408	714	5	proved	prove	VERB
ejpam-3408	714	6	analogue	analogue	NOUN
ejpam-3408	714	7	of	of	ADP
ejpam-3408	714	8	the	the	DET
ejpam-3408	714	9	isomorphism	isomorphism	NOUN
ejpam-3408	714	10	theorems	theorem	NOUN
ejpam-3408	714	11	for	for	ADP
ejpam-3408	714	12	la	la	NOUN
ejpam-3408	714	13	-	-	PUNCT
ejpam-3408	714	14	rings	ring	NOUN
ejpam-3408	714	15	.	.	PUNCT
ejpam-3408	715	1	also	also	ADV
ejpam-3408	715	2	shah	shah	PROPN
ejpam-3408	715	3	and	and	CCONJ
ejpam-3408	715	4	asima	asima	NOUN
ejpam-3408	715	5	razzaque	razzaque	NOUN
ejpam-3408	715	6	in	in	ADP
ejpam-3408	715	7	their	their	PRON
ejpam-3408	715	8	paper	paper	NOUN
ejpam-3408	715	9	[	[	X
ejpam-3408	715	10	214	214	NUM
ejpam-3408	715	11	]	]	PUNCT
ejpam-3408	715	12	discussed	discuss	VERB
ejpam-3408	715	13	soft	soft	ADJ
ejpam-3408	715	14	non	non	ADJ
ejpam-3408	715	15	-	-	ADJ
ejpam-3408	715	16	associative	associative	ADJ
ejpam-3408	715	17	rings	ring	NOUN
ejpam-3408	715	18	and	and	CCONJ
ejpam-3408	715	19	explore	explore	VERB
ejpam-3408	715	20	some	some	PRON
ejpam-3408	715	21	of	of	ADP
ejpam-3408	715	22	its	its	PRON
ejpam-3408	715	23	algebraic	algebraic	ADJ
ejpam-3408	715	24	properties	property	NOUN
ejpam-3408	715	25	.	.	PUNCT
ejpam-3408	716	1	the	the	DET
ejpam-3408	716	2	notions	notion	NOUN
ejpam-3408	716	3	of	of	ADP
ejpam-3408	716	4	soft	soft	ADJ
ejpam-3408	716	5	m	m	NOUN
ejpam-3408	716	6	-	-	PUNCT
ejpam-3408	716	7	systems	system	NOUN
ejpam-3408	716	8	,	,	PUNCT
ejpam-3408	716	9	soft	soft	ADJ
ejpam-3408	716	10	p	p	NOUN
ejpam-3408	716	11	-	-	PUNCT
ejpam-3408	716	12	systems	system	NOUN
ejpam-3408	716	13	,	,	PUNCT
ejpam-3408	716	14	soft	soft	ADJ
ejpam-3408	716	15	i	i	NOUN
ejpam-3408	716	16	-	-	PUNCT
ejpam-3408	716	17	systems	system	NOUN
ejpam-3408	716	18	,	,	PUNCT
ejpam-3408	716	19	soft	soft	ADJ
ejpam-3408	716	20	quasi	quasi	ADJ
ejpam-3408	716	21	-	-	ADJ
ejpam-3408	716	22	prime	prime	ADJ
ejpam-3408	716	23	ideals	ideal	NOUN
ejpam-3408	716	24	,	,	PUNCT
ejpam-3408	716	25	soft	soft	ADJ
ejpam-3408	716	26	quasi	quasi	ADJ
ejpam-3408	716	27	-	-	ADJ
ejpam-3408	716	28	semiprime	semiprime	ADJ
ejpam-3408	716	29	ideals	ideal	NOUN
ejpam-3408	716	30	,	,	PUNCT
ejpam-3408	716	31	soft	soft	ADJ
ejpam-3408	716	32	irreducible	irreducible	ADJ
ejpam-3408	716	33	and	and	CCONJ
ejpam-3408	716	34	soft	soft	ADJ
ejpam-3408	716	35	strongly	strongly	ADV
ejpam-3408	716	36	irreducible	irreducible	ADJ
ejpam-3408	716	37	ideals	ideal	NOUN
ejpam-3408	716	38	were	be	AUX
ejpam-3408	716	39	introduced	introduce	VERB
ejpam-3408	716	40	and	and	CCONJ
ejpam-3408	716	41	several	several	ADJ
ejpam-3408	716	42	related	related	ADJ
ejpam-3408	716	43	properties	property	NOUN
ejpam-3408	716	44	were	be	AUX
ejpam-3408	716	45	investigated	investigate	VERB
ejpam-3408	716	46	.	.	PUNCT
ejpam-3408	717	1	moreover	moreover	ADV
ejpam-3408	717	2	in	in	ADP
ejpam-3408	717	3	2016	2016	NUM
ejpam-3408	717	4	,	,	PUNCT
ejpam-3408	717	5	shah	shah	PROPN
ejpam-3408	717	6	et	et	PROPN
ejpam-3408	717	7	al	al	PROPN
ejpam-3408	717	8	.	.	PROPN
ejpam-3408	717	9	,	,	PUNCT
ejpam-3408	718	1	[	[	X
ejpam-3408	718	2	244	244	X
ejpam-3408	718	3	]	]	PUNCT
ejpam-3408	718	4	taken	take	VERB
ejpam-3408	718	5	a	a	DET
ejpam-3408	718	6	step	step	NOUN
ejpam-3408	718	7	forward	forward	ADV
ejpam-3408	718	8	to	to	PART
ejpam-3408	718	9	apply	apply	VERB
ejpam-3408	718	10	the	the	DET
ejpam-3408	718	11	concepts	concept	NOUN
ejpam-3408	718	12	of	of	ADP
ejpam-3408	718	13	soft	soft	ADJ
ejpam-3408	718	14	set	set	NOUN
ejpam-3408	718	15	theory	theory	NOUN
ejpam-3408	718	16	to	to	ADP
ejpam-3408	718	17	la	la	NOUN
ejpam-3408	718	18	-	-	NOUN
ejpam-3408	718	19	ring	ring	NOUN
ejpam-3408	718	20	by	by	ADP
ejpam-3408	718	21	introducing	introduce	VERB
ejpam-3408	718	22	soft	soft	ADJ
ejpam-3408	718	23	la	la	NOUN
ejpam-3408	718	24	-	-	PUNCT
ejpam-3408	718	25	rings	ring	NOUN
ejpam-3408	718	26	,	,	PUNCT
ejpam-3408	718	27	soft	soft	ADJ
ejpam-3408	718	28	ideals	ideal	NOUN
ejpam-3408	718	29	,	,	PUNCT
ejpam-3408	718	30	soft	soft	ADJ
ejpam-3408	718	31	prime	prime	ADJ
ejpam-3408	718	32	ideals	ideal	NOUN
ejpam-3408	718	33	,	,	PUNCT
ejpam-3408	718	34	idealistic	idealistic	ADJ
ejpam-3408	718	35	soft	soft	ADJ
ejpam-3408	718	36	la	la	NOUN
ejpam-3408	718	37	-	-	PUNCT
ejpam-3408	718	38	rings	ring	NOUN
ejpam-3408	718	39	and	and	CCONJ
ejpam-3408	718	40	soft	soft	ADJ
ejpam-3408	718	41	la	la	NOUN
ejpam-3408	718	42	-	-	PUNCT
ejpam-3408	718	43	homomorphism	homomorphism	NOUN
ejpam-3408	718	44	.	.	PUNCT
ejpam-3408	719	1	they	they	PRON
ejpam-3408	719	2	provided	provide	VERB
ejpam-3408	719	3	a	a	DET
ejpam-3408	719	4	number	number	NOUN
ejpam-3408	719	5	of	of	ADP
ejpam-3408	719	6	examples	example	NOUN
ejpam-3408	719	7	to	to	PART
ejpam-3408	719	8	illustrate	illustrate	VERB
ejpam-3408	719	9	these	these	DET
ejpam-3408	719	10	concepts	concept	NOUN
ejpam-3408	719	11	.	.	PUNCT
ejpam-3408	720	1	3	3	X
ejpam-3408	720	2	.	.	X
ejpam-3408	720	3	conclusions	conclusion	NOUN
ejpam-3408	720	4	nowadays	nowadays	ADV
ejpam-3408	720	5	,	,	PUNCT
ejpam-3408	720	6	mathematics	mathematic	NOUN
ejpam-3408	720	7	is	be	AUX
ejpam-3408	720	8	becoming	become	VERB
ejpam-3408	720	9	more	more	ADV
ejpam-3408	720	10	and	and	CCONJ
ejpam-3408	720	11	more	more	ADJ
ejpam-3408	720	12	non	non	ADJ
ejpam-3408	720	13	-	-	ADJ
ejpam-3408	720	14	associative	associative	ADJ
ejpam-3408	721	1	and	and	CCONJ
ejpam-3408	721	2	it	it	PRON
ejpam-3408	721	3	is	be	AUX
ejpam-3408	721	4	a	a	DET
ejpam-3408	721	5	general	general	ADJ
ejpam-3408	721	6	prediction	prediction	NOUN
ejpam-3408	721	7	that	that	SCONJ
ejpam-3408	721	8	in	in	ADP
ejpam-3408	721	9	few	few	ADJ
ejpam-3408	721	10	years	year	NOUN
ejpam-3408	721	11	’	'	PUNCT
ejpam-3408	721	12	non	non	ADJ
ejpam-3408	721	13	-	-	ADJ
ejpam-3408	721	14	associativity	associativity	NOUN
ejpam-3408	721	15	will	will	AUX
ejpam-3408	721	16	govern	govern	VERB
ejpam-3408	721	17	mathematics	mathematic	NOUN
ejpam-3408	721	18	and	and	CCONJ
ejpam-3408	721	19	applied	applied	ADJ
ejpam-3408	721	20	sciences	science	NOUN
ejpam-3408	721	21	.	.	PUNCT
ejpam-3408	722	1	we	we	PRON
ejpam-3408	722	2	would	would	AUX
ejpam-3408	722	3	like	like	VERB
ejpam-3408	722	4	to	to	PART
ejpam-3408	722	5	point	point	VERB
ejpam-3408	722	6	out	out	ADP
ejpam-3408	722	7	that	that	DET
ejpam-3408	722	8	application	application	NOUN
ejpam-3408	722	9	of	of	ADP
ejpam-3408	722	10	non	non	ADJ
ejpam-3408	722	11	-	-	ADJ
ejpam-3408	722	12	associative	associative	ADJ
ejpam-3408	722	13	ring	ring	NOUN
ejpam-3408	722	14	theory	theory	NOUN
ejpam-3408	722	15	is	be	AUX
ejpam-3408	722	16	astonishing	astonishing	ADJ
ejpam-3408	722	17	and	and	CCONJ
ejpam-3408	722	18	has	have	AUX
ejpam-3408	722	19	become	become	VERB
ejpam-3408	722	20	an	an	DET
ejpam-3408	722	21	instrumental	instrumental	ADJ
ejpam-3408	722	22	in	in	ADP
ejpam-3408	722	23	parts	part	NOUN
ejpam-3408	722	24	of	of	ADP
ejpam-3408	722	25	physics	physics	NOUN
ejpam-3408	722	26	,	,	PUNCT
ejpam-3408	722	27	quantum	quantum	NOUN
ejpam-3408	722	28	mechanics	mechanic	NOUN
ejpam-3408	722	29	,	,	PUNCT
ejpam-3408	722	30	atomic	atomic	ADJ
ejpam-3408	722	31	spectroscopy	spectroscopy	NOUN
ejpam-3408	722	32	,	,	PUNCT
ejpam-3408	722	33	solid	solid	ADJ
ejpam-3408	722	34	state	state	NOUN
ejpam-3408	722	35	physics	physics	NOUN
ejpam-3408	722	36	,	,	PUNCT
ejpam-3408	722	37	differential	differential	ADJ
ejpam-3408	722	38	and	and	CCONJ
ejpam-3408	722	39	algebraic	algebraic	ADJ
ejpam-3408	722	40	geometry	geometry	NOUN
ejpam-3408	722	41	,	,	PUNCT
ejpam-3408	722	42	differential	differential	ADJ
ejpam-3408	722	43	equations	equation	NOUN
ejpam-3408	722	44	,	,	PUNCT
ejpam-3408	722	45	space	space	NOUN
ejpam-3408	722	46	time	time	NOUN
ejpam-3408	722	47	theory	theory	NOUN
ejpam-3408	722	48	and	and	CCONJ
ejpam-3408	722	49	etc	etc	X
ejpam-3408	722	50	.	.	X
ejpam-3408	722	51	in	in	ADP
ejpam-3408	722	52	this	this	DET
ejpam-3408	722	53	paper	paper	NOUN
ejpam-3408	722	54	we	we	PRON
ejpam-3408	722	55	tried	try	VERB
ejpam-3408	722	56	to	to	PART
ejpam-3408	722	57	present	present	VERB
ejpam-3408	722	58	the	the	DET
ejpam-3408	722	59	complete	complete	ADJ
ejpam-3408	722	60	survey	survey	NOUN
ejpam-3408	722	61	of	of	ADP
ejpam-3408	722	62	all	all	DET
ejpam-3408	722	63	types	type	NOUN
ejpam-3408	722	64	of	of	ADP
ejpam-3408	722	65	non	non	ADJ
ejpam-3408	722	66	-	-	ADJ
ejpam-3408	722	67	associative	associative	ADJ
ejpam-3408	722	68	rings	ring	NOUN
ejpam-3408	722	69	and	and	CCONJ
ejpam-3408	722	70	enumerate	enumerate	VERB
ejpam-3408	722	71	some	some	PRON
ejpam-3408	722	72	of	of	ADP
ejpam-3408	722	73	their	their	PRON
ejpam-3408	722	74	various	various	ADJ
ejpam-3408	722	75	applications	application	NOUN
ejpam-3408	722	76	and	and	CCONJ
ejpam-3408	722	77	developments	development	NOUN
ejpam-3408	722	78	in	in	ADP
ejpam-3408	722	79	different	different	ADJ
ejpam-3408	722	80	directions	direction	NOUN
ejpam-3408	722	81	to	to	ADP
ejpam-3408	722	82	date	date	NOUN
ejpam-3408	722	83	.	.	PUNCT
ejpam-3408	723	1	we	we	PRON
ejpam-3408	723	2	do	do	AUX
ejpam-3408	723	3	believe	believe	VERB
ejpam-3408	723	4	that	that	SCONJ
ejpam-3408	723	5	this	this	DET
ejpam-3408	723	6	survey	survey	NOUN
ejpam-3408	723	7	would	would	AUX
ejpam-3408	723	8	be	be	AUX
ejpam-3408	723	9	unique	unique	ADJ
ejpam-3408	723	10	in	in	ADP
ejpam-3408	723	11	its	its	PRON
ejpam-3408	723	12	own	own	ADJ
ejpam-3408	723	13	way	way	NOUN
ejpam-3408	723	14	for	for	ADP
ejpam-3408	723	15	the	the	DET
ejpam-3408	723	16	reason	reason	NOUN
ejpam-3408	723	17	that	that	SCONJ
ejpam-3408	723	18	such	such	ADJ
ejpam-3408	723	19	comprehensive	comprehensive	ADJ
ejpam-3408	723	20	and	and	CCONJ
ejpam-3408	723	21	complete	complete	ADJ
ejpam-3408	723	22	information	information	NOUN
ejpam-3408	723	23	regarding	regard	VERB
ejpam-3408	723	24	all	all	DET
ejpam-3408	723	25	types	type	NOUN
ejpam-3408	723	26	of	of	ADP
ejpam-3408	723	27	non	non	ADJ
ejpam-3408	723	28	-	-	ADJ
ejpam-3408	723	29	associative	associative	ADJ
ejpam-3408	723	30	rings	ring	NOUN
ejpam-3408	723	31	under	under	ADP
ejpam-3408	723	32	one	one	NUM
ejpam-3408	723	33	umbrella	umbrella	NOUN
ejpam-3408	723	34	can	can	AUX
ejpam-3408	723	35	hardly	hardly	ADV
ejpam-3408	723	36	be	be	AUX
ejpam-3408	723	37	found	find	VERB
ejpam-3408	723	38	.	.	PUNCT
ejpam-3408	724	1	we	we	PRON
ejpam-3408	724	2	hope	hope	VERB
ejpam-3408	724	3	that	that	SCONJ
ejpam-3408	724	4	this	this	DET
ejpam-3408	724	5	work	work	NOUN
ejpam-3408	724	6	will	will	AUX
ejpam-3408	724	7	provide	provide	VERB
ejpam-3408	724	8	an	an	DET
ejpam-3408	724	9	endless	endless	ADJ
ejpam-3408	724	10	source	source	NOUN
ejpam-3408	724	11	of	of	ADP
ejpam-3408	724	12	inspiration	inspiration	NOUN
ejpam-3408	724	13	for	for	ADP
ejpam-3408	724	14	future	future	ADJ
ejpam-3408	724	15	research	research	NOUN
ejpam-3408	724	16	in	in	ADP
ejpam-3408	724	17	non	non	ADJ
ejpam-3408	724	18	-	-	ADJ
ejpam-3408	724	19	associative	associative	ADJ
ejpam-3408	724	20	ring	ring	NOUN
ejpam-3408	724	21	theory	theory	NOUN
ejpam-3408	724	22	.	.	PUNCT
ejpam-3408	725	1	references	reference	NOUN
ejpam-3408	725	2	[	[	X
ejpam-3408	725	3	1	1	NUM
ejpam-3408	725	4	]	]	PUNCT
ejpam-3408	725	5	i.	i.	PROPN
ejpam-3408	725	6	d.	d.	PROPN
ejpam-3408	725	7	ado	ado	PROPN
ejpam-3408	725	8	.	.	PUNCT
ejpam-3408	726	1	on	on	ADP
ejpam-3408	726	2	representations	representation	NOUN
ejpam-3408	726	3	of	of	ADP
ejpam-3408	726	4	finite	finite	ADJ
ejpam-3408	726	5	continuous	continuous	ADJ
ejpam-3408	726	6	groups	group	NOUN
ejpam-3408	726	7	using	use	VERB
ejpam-3408	726	8	linear	linear	ADJ
ejpam-3408	726	9	substitutions	substitution	NOUN
ejpam-3408	726	10	.	.	PUNCT
ejpam-3408	727	1	izvestiya	izvestiya	PROPN
ejpam-3408	727	2	kazanskogo	kazanskogo	VERB
ejpam-3408	727	3	fiziko	fiziko	NOUN
ejpam-3408	727	4	-	-	PUNCT
ejpam-3408	727	5	matematicheskogo	matematicheskogo	NOUN
ejpam-3408	727	6	obshchestva	obshchestva	NOUN
ejpam-3408	727	7	,	,	PUNCT
ejpam-3408	727	8	7:1–43	7:1–43	NUM
ejpam-3408	727	9	,	,	PUNCT
ejpam-3408	727	10	1934	1934	NUM
ejpam-3408	727	11	-	-	SYM
ejpam-3408	727	12	35	35	NUM
ejpam-3408	727	13	.	.	PUNCT
ejpam-3408	728	1	[	[	X
ejpam-3408	728	2	2	2	NUM
ejpam-3408	728	3	]	]	PUNCT
ejpam-3408	728	4	a.	a.	NOUN
ejpam-3408	728	5	a.	a.	PROPN
ejpam-3408	728	6	albert	albert	PROPN
ejpam-3408	728	7	.	.	PUNCT
ejpam-3408	729	1	quadratic	quadratic	ADJ
ejpam-3408	729	2	forms	form	NOUN
ejpam-3408	729	3	permitting	permit	VERB
ejpam-3408	729	4	composition	composition	NOUN
ejpam-3408	729	5	.	.	PUNCT
ejpam-3408	730	1	ann	ann	PROPN
ejpam-3408	730	2	.	.	PROPN
ejpam-3408	730	3	of	of	ADP
ejpam-3408	730	4	math	math	NOUN
ejpam-3408	730	5	.	.	PUNCT
ejpam-3408	730	6	,	,	PUNCT
ejpam-3408	730	7	43:161–177	43:161–177	PROPN
ejpam-3408	730	8	,	,	PUNCT
ejpam-3408	730	9	1942	1942	NUM
ejpam-3408	730	10	.	.	PUNCT
ejpam-3408	731	1	[	[	X
ejpam-3408	731	2	3	3	NUM
ejpam-3408	731	3	]	]	PUNCT
ejpam-3408	731	4	a.	a.	NOUN
ejpam-3408	731	5	a.	a.	PROPN
ejpam-3408	731	6	albert	albert	PROPN
ejpam-3408	731	7	.	.	PROPN
ejpam-3408	732	1	quasigroups	quasigroups	PROPN
ejpam-3408	732	2	i.	i.	PROPN
ejpam-3408	732	3	trans	trans	PROPN
ejpam-3408	732	4	.	.	PUNCT
ejpam-3408	733	1	amer	amer	PROPN
ejpam-3408	733	2	.	.	PUNCT
ejpam-3408	733	3	math	math	PROPN
ejpam-3408	733	4	.	.	PUNCT
ejpam-3408	734	1	soc	soc	PROPN
ejpam-3408	734	2	.	.	PUNCT
ejpam-3408	734	3	,	,	PUNCT
ejpam-3408	735	1	54:507–519	54:507–519	PROPN
ejpam-3408	735	2	,	,	PUNCT
ejpam-3408	735	3	1943	1943	NUM
ejpam-3408	735	4	.	.	PUNCT
ejpam-3408	736	1	[	[	X
ejpam-3408	736	2	4	4	NUM
ejpam-3408	736	3	]	]	PUNCT
ejpam-3408	736	4	a.	a.	NOUN
ejpam-3408	736	5	a.	a.	PROPN
ejpam-3408	736	6	albert	albert	PROPN
ejpam-3408	736	7	.	.	PROPN
ejpam-3408	737	1	quasigroups	quasigroups	PROPN
ejpam-3408	737	2	ii	ii	PROPN
ejpam-3408	737	3	.	.	PUNCT
ejpam-3408	738	1	trans	trans	PROPN
ejpam-3408	738	2	.	.	PUNCT
ejpam-3408	739	1	amer	amer	PROPN
ejpam-3408	739	2	.	.	PUNCT
ejpam-3408	739	3	math	math	PROPN
ejpam-3408	739	4	.	.	PUNCT
ejpam-3408	740	1	soc	soc	PROPN
ejpam-3408	740	2	.	.	PUNCT
ejpam-3408	740	3	,	,	PUNCT
ejpam-3408	740	4	55:401–409	55:401–409	NUM
ejpam-3408	740	5	,	,	PUNCT
ejpam-3408	740	6	1944	1944	NUM
ejpam-3408	740	7	.	.	PUNCT
ejpam-3408	741	1	[	[	X
ejpam-3408	741	2	5	5	NUM
ejpam-3408	741	3	]	]	PUNCT
ejpam-3408	741	4	a.	a.	NOUN
ejpam-3408	741	5	a.	a.	PROPN
ejpam-3408	741	6	albert	albert	PROPN
ejpam-3408	741	7	.	.	PUNCT
ejpam-3408	741	8	power	power	PROPN
ejpam-3408	741	9	associative	associative	PROPN
ejpam-3408	741	10	rings	ring	NOUN
ejpam-3408	741	11	.	.	PUNCT
ejpam-3408	742	1	trans	trans	PROPN
ejpam-3408	742	2	.	.	PUNCT
ejpam-3408	743	1	amer	amer	PROPN
ejpam-3408	743	2	.	.	PUNCT
ejpam-3408	743	3	math	math	PROPN
ejpam-3408	743	4	.	.	PUNCT
ejpam-3408	744	1	soc	soc	PROPN
ejpam-3408	744	2	.	.	PROPN
ejpam-3408	744	3	,	,	PUNCT
ejpam-3408	744	4	64:552–593	64:552–593	PROPN
ejpam-3408	744	5	,	,	PUNCT
ejpam-3408	744	6	1948	1948	NUM
ejpam-3408	744	7	.	.	PUNCT
ejpam-3408	745	1	[	[	X
ejpam-3408	745	2	6	6	NUM
ejpam-3408	745	3	]	]	PUNCT
ejpam-3408	745	4	a.	a.	NOUN
ejpam-3408	745	5	a.	a.	PROPN
ejpam-3408	745	6	albert	albert	PROPN
ejpam-3408	745	7	.	.	PUNCT
ejpam-3408	746	1	on	on	ADP
ejpam-3408	746	2	the	the	DET
ejpam-3408	746	3	right	right	ADJ
ejpam-3408	746	4	alternative	alternative	NOUN
ejpam-3408	746	5	algebras	algebra	NOUN
ejpam-3408	746	6	.	.	PUNCT
ejpam-3408	746	7	ann	ann	PROPN
ejpam-3408	746	8	.	.	PROPN
ejpam-3408	747	1	of	of	ADP
ejpam-3408	747	2	math	math	NOUN
ejpam-3408	747	3	.	.	PUNCT
ejpam-3408	748	1	,	,	PUNCT
ejpam-3408	748	2	50:318–328	50:318–328	PROPN
ejpam-3408	748	3	,	,	PUNCT
ejpam-3408	748	4	1949	1949	NUM
ejpam-3408	748	5	.	.	PUNCT
ejpam-3408	749	1	[	[	X
ejpam-3408	749	2	7	7	X
ejpam-3408	749	3	]	]	PUNCT
ejpam-3408	749	4	a.	a.	NOUN
ejpam-3408	749	5	a.	a.	PROPN
ejpam-3408	749	6	albert	albert	PROPN
ejpam-3408	749	7	.	.	PUNCT
ejpam-3408	750	1	on	on	ADP
ejpam-3408	750	2	simple	simple	ADJ
ejpam-3408	750	3	alternative	alternative	ADJ
ejpam-3408	750	4	rings	ring	NOUN
ejpam-3408	750	5	.	.	PUNCT
ejpam-3408	751	1	canad	canad	PROPN
ejpam-3408	751	2	.	.	PUNCT
ejpam-3408	752	1	j.	j.	PROPN
ejpam-3408	752	2	math	math	PROPN
ejpam-3408	752	3	.	.	PUNCT
ejpam-3408	752	4	,	,	PUNCT
ejpam-3408	752	5	4:129–135	4:129–135	NUM
ejpam-3408	752	6	,	,	PUNCT
ejpam-3408	752	7	1952	1952	NUM
ejpam-3408	752	8	.	.	PUNCT
ejpam-3408	753	1	references	reference	NOUN
ejpam-3408	753	2	393	393	NUM
ejpam-3408	753	3	[	[	X
ejpam-3408	753	4	8	8	NUM
ejpam-3408	753	5	]	]	PUNCT
ejpam-3408	753	6	a.	a.	NOUN
ejpam-3408	753	7	m.	m.	NOUN
ejpam-3408	753	8	alghamdi	alghamdi	PROPN
ejpam-3408	753	9	and	and	CCONJ
ejpam-3408	753	10	f.	f.	PROPN
ejpam-3408	753	11	sahraoui	sahraoui	PROPN
ejpam-3408	753	12	.	.	PUNCT
ejpam-3408	754	1	tensor	tensor	NOUN
ejpam-3408	754	2	product	product	NOUN
ejpam-3408	754	3	of	of	ADP
ejpam-3408	754	4	la	la	NOUN
ejpam-3408	754	5	-	-	PUNCT
ejpam-3408	754	6	modules	module	NOUN
ejpam-3408	754	7	.	.	PUNCT
ejpam-3408	755	1	international	international	ADJ
ejpam-3408	755	2	mathematical	mathematical	PROPN
ejpam-3408	755	3	forum	forum	PROPN
ejpam-3408	755	4	,	,	PUNCT
ejpam-3408	755	5	9:1309–1319	9:1309–1319	PROPN
ejpam-3408	755	6	,	,	PUNCT
ejpam-3408	755	7	2014	2014	NUM
ejpam-3408	755	8	.	.	PUNCT
ejpam-3408	756	1	[	[	X
ejpam-3408	756	2	9	9	NUM
ejpam-3408	756	3	]	]	PUNCT
ejpam-3408	756	4	j.	j.	PROPN
ejpam-3408	756	5	c.	c.	PROPN
ejpam-3408	756	6	baez	baez	PROPN
ejpam-3408	756	7	.	.	PUNCT
ejpam-3408	757	1	the	the	DET
ejpam-3408	757	2	octonions	octonions	PROPN
ejpam-3408	757	3	.	.	PUNCT
ejpam-3408	758	1	bull	bull	NOUN
ejpam-3408	758	2	.	.	PUNCT
ejpam-3408	759	1	amer	amer	PROPN
ejpam-3408	759	2	.	.	PUNCT
ejpam-3408	759	3	math	math	PROPN
ejpam-3408	759	4	.	.	PUNCT
ejpam-3408	760	1	soc	soc	PROPN
ejpam-3408	760	2	.	.	PUNCT
ejpam-3408	760	3	,	,	PUNCT
ejpam-3408	760	4	39:145–205	39:145–205	NUM
ejpam-3408	760	5	,	,	PUNCT
ejpam-3408	760	6	2002	2002	NUM
ejpam-3408	760	7	.	.	PUNCT
ejpam-3408	761	1	[	[	X
ejpam-3408	761	2	10	10	NUM
ejpam-3408	761	3	]	]	X
ejpam-3408	761	4	j.	j.	PROPN
ejpam-3408	761	5	g.	g.	PROPN
ejpam-3408	761	6	f.	f.	PROPN
ejpam-3408	761	7	belinfante	belinfante	PROPN
ejpam-3408	761	8	and	and	CCONJ
ejpam-3408	761	9	b.	b.	PROPN
ejpam-3408	761	10	kolman	kolman	PROPN
ejpam-3408	761	11	.	.	PUNCT
ejpam-3408	762	1	a	a	DET
ejpam-3408	762	2	survey	survey	NOUN
ejpam-3408	762	3	of	of	ADP
ejpam-3408	762	4	lie	lie	NOUN
ejpam-3408	762	5	groups	group	NOUN
ejpam-3408	762	6	and	and	CCONJ
ejpam-3408	762	7	lie	lie	VERB
ejpam-3408	762	8	algebras	algebra	NOUN
ejpam-3408	762	9	with	with	ADP
ejpam-3408	762	10	applications	application	NOUN
ejpam-3408	762	11	and	and	CCONJ
ejpam-3408	762	12	computational	computational	ADJ
ejpam-3408	762	13	methods	method	NOUN
ejpam-3408	762	14	.	.	PUNCT
ejpam-3408	763	1	siam	siam	PROPN
ejpam-3408	763	2	j.	j.	PROPN
ejpam-3408	763	3	appl	appl	PROPN
ejpam-3408	763	4	.	.	PROPN
ejpam-3408	763	5	math	math	PROPN
ejpam-3408	763	6	.	.	PUNCT
ejpam-3408	764	1	,	,	PUNCT
ejpam-3408	764	2	society	society	NOUN
ejpam-3408	764	3	for	for	ADP
ejpam-3408	764	4	industrial	industrial	ADJ
ejpam-3408	764	5	and	and	CCONJ
ejpam-3408	764	6	applied	apply	VERB
ejpam-3408	764	7	mathematics	mathematics	PROPN
ejpam-3408	764	8	philadelphia	philadelphia	PROPN
ejpam-3408	764	9	,	,	PUNCT
ejpam-3408	764	10	1989	1989	NUM
ejpam-3408	764	11	.	.	PUNCT
ejpam-3408	765	1	[	[	X
ejpam-3408	765	2	11	11	NUM
ejpam-3408	765	3	]	]	PUNCT
ejpam-3408	765	4	a.	a.	NOUN
ejpam-3408	765	5	k.	k.	PROPN
ejpam-3408	765	6	bhandari	bhandari	PROPN
ejpam-3408	765	7	and	and	CCONJ
ejpam-3408	765	8	a.	a.	PROPN
ejpam-3408	765	9	kaila	kaila	PROPN
ejpam-3408	765	10	.	.	PUNCT
ejpam-3408	766	1	jordan	jordan	PROPN
ejpam-3408	766	2	decompositions	decompositions	PROPN
ejpam-3408	766	3	in	in	ADP
ejpam-3408	766	4	alternative	alternative	ADJ
ejpam-3408	766	5	loop	loop	NOUN
ejpam-3408	766	6	rings	ring	NOUN
ejpam-3408	766	7	.	.	PUNCT
ejpam-3408	767	1	rend	rend	VERB
ejpam-3408	767	2	.	.	PUNCT
ejpam-3408	768	1	circ	circ	PROPN
ejpam-3408	768	2	.	.	PUNCT
ejpam-3408	769	1	mat	mat	NOUN
ejpam-3408	769	2	.	.	PUNCT
ejpam-3408	769	3	palermo	palermo	PROPN
ejpam-3408	769	4	,	,	PUNCT
ejpam-3408	769	5	50(2	50(2	NUM
ejpam-3408	769	6	)	)	PUNCT
ejpam-3408	769	7	,	,	PUNCT
ejpam-3408	769	8	2001	2001	NUM
ejpam-3408	769	9	.	.	PUNCT
ejpam-3408	770	1	[	[	X
ejpam-3408	770	2	12	12	NUM
ejpam-3408	770	3	]	]	X
ejpam-3408	770	4	g.	g.	NOUN
ejpam-3408	770	5	birkhoff	birkhoff	PROPN
ejpam-3408	770	6	.	.	PUNCT
ejpam-3408	771	1	representability	representability	NOUN
ejpam-3408	771	2	of	of	ADP
ejpam-3408	771	3	lie	lie	NOUN
ejpam-3408	771	4	algebras	algebra	NOUN
ejpam-3408	771	5	and	and	CCONJ
ejpam-3408	771	6	lie	lie	VERB
ejpam-3408	771	7	groups	group	NOUN
ejpam-3408	771	8	by	by	ADP
ejpam-3408	771	9	matrices	matrix	NOUN
ejpam-3408	771	10	.	.	PUNCT
ejpam-3408	772	1	ann	ann	PROPN
ejpam-3408	772	2	.	.	PROPN
ejpam-3408	772	3	of	of	ADP
ejpam-3408	772	4	math	math	NOUN
ejpam-3408	772	5	.	.	PUNCT
ejpam-3408	772	6	,	,	PUNCT
ejpam-3408	773	1	38:526–532	38:526–532	NUM
ejpam-3408	773	2	,	,	PUNCT
ejpam-3408	773	3	1937	1937	NUM
ejpam-3408	773	4	.	.	PUNCT
ejpam-3408	774	1	[	[	X
ejpam-3408	774	2	13	13	NUM
ejpam-3408	774	3	]	]	PUNCT
ejpam-3408	774	4	r.	r.	PROPN
ejpam-3408	774	5	e.	e.	PROPN
ejpam-3408	774	6	block	block	PROPN
ejpam-3408	774	7	.	.	PUNCT
ejpam-3408	775	1	a	a	DET
ejpam-3408	775	2	unification	unification	NOUN
ejpam-3408	775	3	of	of	ADP
ejpam-3408	775	4	the	the	DET
ejpam-3408	775	5	theories	theory	NOUN
ejpam-3408	775	6	of	of	ADP
ejpam-3408	775	7	jordan	jordan	PROPN
ejpam-3408	775	8	and	and	CCONJ
ejpam-3408	775	9	alternative	alternative	ADJ
ejpam-3408	775	10	algebras	algebra	NOUN
ejpam-3408	775	11	.	.	PUNCT
ejpam-3408	776	1	notices	notice	VERB
ejpam-3408	776	2	amer	amer	PROPN
ejpam-3408	776	3	.	.	PROPN
ejpam-3408	776	4	math	math	PROPN
ejpam-3408	776	5	.	.	PUNCT
ejpam-3408	777	1	soc	soc	PROPN
ejpam-3408	777	2	.	.	PUNCT
ejpam-3408	777	3	,	,	PUNCT
ejpam-3408	777	4	16:389–412	16:389–412	NUM
ejpam-3408	777	5	,	,	PUNCT
ejpam-3408	777	6	1969	1969	NUM
ejpam-3408	777	7	.	.	PUNCT
ejpam-3408	778	1	[	[	X
ejpam-3408	778	2	14	14	NUM
ejpam-3408	778	3	]	]	X
ejpam-3408	778	4	h.	h.	PROPN
ejpam-3408	778	5	braun	braun	PROPN
ejpam-3408	778	6	and	and	CCONJ
ejpam-3408	778	7	m.	m.	PROPN
ejpam-3408	778	8	koecher	koecher	PROPN
ejpam-3408	778	9	.	.	PUNCT
ejpam-3408	779	1	jordan	jordan	PROPN
ejpam-3408	779	2	-	-	PUNCT
ejpam-3408	779	3	algebren	algebren	PROPN
ejpam-3408	780	1	[	[	X
ejpam-3408	780	2	german	german	X
ejpam-3408	780	3	]	]	X
ejpam-3408	780	4	.	.	PUNCT
ejpam-3408	780	5	springer	springer	NOUN
ejpam-3408	780	6	-	-	PUNCT
ejpam-3408	780	7	verlag	verlag	PROPN
ejpam-3408	780	8	,	,	PUNCT
ejpam-3408	780	9	berlin	berlin	PROPN
ejpam-3408	780	10	-	-	PUNCT
ejpam-3408	780	11	new	new	PROPN
ejpam-3408	780	12	york	york	PROPN
ejpam-3408	780	13	,	,	PUNCT
ejpam-3408	780	14	1966	1966	NUM
ejpam-3408	780	15	.	.	PUNCT
ejpam-3408	781	1	[	[	X
ejpam-3408	781	2	15	15	NUM
ejpam-3408	781	3	]	]	X
ejpam-3408	781	4	d.	d.	PROPN
ejpam-3408	781	5	j.	j.	PROPN
ejpam-3408	781	6	britten	britten	PROPN
ejpam-3408	781	7	.	.	PUNCT
ejpam-3408	782	1	on	on	ADP
ejpam-3408	782	2	prime	prime	PROPN
ejpam-3408	782	3	jordan	jordan	PROPN
ejpam-3408	782	4	rings	rings	PROPN
ejpam-3408	782	5	h(r	h(r	PROPN
ejpam-3408	782	6	)	)	PUNCT
ejpam-3408	782	7	with	with	ADP
ejpam-3408	782	8	chain	chain	NOUN
ejpam-3408	782	9	condition	condition	NOUN
ejpam-3408	782	10	.	.	PUNCT
ejpam-3408	783	1	j.	j.	PROPN
ejpam-3408	783	2	algebra	algebra	PROPN
ejpam-3408	783	3	,	,	PUNCT
ejpam-3408	783	4	27:414	27:414	NUM
ejpam-3408	783	5	–	–	PUNCT
ejpam-3408	783	6	421	421	NUM
ejpam-3408	783	7	,	,	PUNCT
ejpam-3408	783	8	1973	1973	NUM
ejpam-3408	783	9	.	.	PUNCT
ejpam-3408	784	1	[	[	X
ejpam-3408	784	2	16	16	NUM
ejpam-3408	784	3	]	]	X
ejpam-3408	784	4	d.	d.	PROPN
ejpam-3408	784	5	j.	j.	PROPN
ejpam-3408	784	6	britten	britten	PROPN
ejpam-3408	784	7	.	.	PUNCT
ejpam-3408	785	1	on	on	ADP
ejpam-3408	785	2	semiprime	semiprime	PROPN
ejpam-3408	785	3	jordan	jordan	PROPN
ejpam-3408	785	4	rings	rings	PROPN
ejpam-3408	785	5	h(r	h(r	PROPN
ejpam-3408	785	6	)	)	PUNCT
ejpam-3408	785	7	with	with	ADP
ejpam-3408	785	8	a.c.c	a.c.c	NOUN
ejpam-3408	785	9	.	.	PUNCT
ejpam-3408	785	10	proc	proc	PROPN
ejpam-3408	785	11	.	.	PUNCT
ejpam-3408	786	1	amer	amer	PROPN
ejpam-3408	786	2	.	.	PUNCT
ejpam-3408	786	3	math	math	PROPN
ejpam-3408	786	4	.	.	PUNCT
ejpam-3408	787	1	soc	soc	PROPN
ejpam-3408	787	2	.	.	PUNCT
ejpam-3408	787	3	,	,	PUNCT
ejpam-3408	787	4	45:175–178	45:175–178	NUM
ejpam-3408	787	5	,	,	PUNCT
ejpam-3408	787	6	1974	1974	NUM
ejpam-3408	787	7	.	.	PUNCT
ejpam-3408	788	1	[	[	X
ejpam-3408	788	2	17	17	NUM
ejpam-3408	788	3	]	]	X
ejpam-3408	788	4	b.	b.	PROPN
ejpam-3408	788	5	brown	brown	PROPN
ejpam-3408	788	6	and	and	CCONJ
ejpam-3408	788	7	n.	n.	PROPN
ejpam-3408	788	8	h.	h.	PROPN
ejpam-3408	788	9	mccoy	mccoy	PROPN
ejpam-3408	788	10	.	.	PUNCT
ejpam-3408	789	1	some	some	DET
ejpam-3408	789	2	theorems	theorem	NOUN
ejpam-3408	789	3	on	on	ADP
ejpam-3408	789	4	groups	group	NOUN
ejpam-3408	789	5	with	with	ADP
ejpam-3408	789	6	applications	application	NOUN
ejpam-3408	789	7	to	to	PART
ejpam-3408	789	8	ring	ring	NOUN
ejpam-3408	789	9	theory	theory	NOUN
ejpam-3408	789	10	.	.	PUNCT
ejpam-3408	790	1	trans	trans	PROPN
ejpam-3408	790	2	.	.	PUNCT
ejpam-3408	791	1	amer	amer	PROPN
ejpam-3408	791	2	.	.	PUNCT
ejpam-3408	791	3	math	math	PROPN
ejpam-3408	791	4	.	.	PUNCT
ejpam-3408	792	1	soc	soc	PROPN
ejpam-3408	792	2	.	.	PUNCT
ejpam-3408	792	3	,	,	PUNCT
ejpam-3408	793	1	69:302–311	69:302–311	NOUN
ejpam-3408	793	2	,	,	PUNCT
ejpam-3408	793	3	1950	1950	NUM
ejpam-3408	793	4	.	.	PUNCT
ejpam-3408	794	1	[	[	X
ejpam-3408	794	2	18	18	NUM
ejpam-3408	794	3	]	]	X
ejpam-3408	794	4	b.	b.	PROPN
ejpam-3408	794	5	brown	brown	PROPN
ejpam-3408	794	6	and	and	CCONJ
ejpam-3408	794	7	n.	n.	PROPN
ejpam-3408	794	8	h.	h.	PROPN
ejpam-3408	794	9	mccoy	mccoy	PROPN
ejpam-3408	794	10	.	.	PUNCT
ejpam-3408	795	1	prime	prime	ADJ
ejpam-3408	795	2	ideals	ideal	NOUN
ejpam-3408	795	3	in	in	ADP
ejpam-3408	795	4	non	non	ADJ
ejpam-3408	795	5	-	-	ADJ
ejpam-3408	795	6	associative	associative	ADJ
ejpam-3408	795	7	rings	ring	NOUN
ejpam-3408	795	8	.	.	PUNCT
ejpam-3408	796	1	trans	trans	PROPN
ejpam-3408	796	2	.	.	PUNCT
ejpam-3408	797	1	amer	amer	PROPN
ejpam-3408	797	2	.	.	PUNCT
ejpam-3408	797	3	math	math	PROPN
ejpam-3408	797	4	.	.	PUNCT
ejpam-3408	798	1	soc	soc	PROPN
ejpam-3408	798	2	.	.	PUNCT
ejpam-3408	798	3	,	,	PUNCT
ejpam-3408	798	4	89:245–255	89:245–255	PROPN
ejpam-3408	798	5	,	,	PUNCT
ejpam-3408	798	6	1958	1958	NUM
ejpam-3408	798	7	.	.	PUNCT
ejpam-3408	799	1	[	[	X
ejpam-3408	799	2	19	19	NUM
ejpam-3408	799	3	]	]	X
ejpam-3408	799	4	r.	r.	PROPN
ejpam-3408	799	5	b.	b.	PROPN
ejpam-3408	799	6	brown	brown	PROPN
ejpam-3408	799	7	.	.	PUNCT
ejpam-3408	800	1	a	a	DET
ejpam-3408	800	2	new	new	ADJ
ejpam-3408	800	3	type	type	NOUN
ejpam-3408	800	4	of	of	ADP
ejpam-3408	800	5	non	non	ADJ
ejpam-3408	800	6	-	-	ADJ
ejpam-3408	800	7	associative	associative	ADJ
ejpam-3408	800	8	algebras	algebra	NOUN
ejpam-3408	800	9	.	.	PUNCT
ejpam-3408	801	1	proc	proc	PROPN
ejpam-3408	801	2	.	.	PUNCT
ejpam-3408	802	1	natl	natl	PROPN
ejpam-3408	802	2	.	.	PUNCT
ejpam-3408	803	1	acad	acad	PROPN
ejpam-3408	803	2	.	.	PUNCT
ejpam-3408	804	1	sci	sci	PROPN
ejpam-3408	804	2	.	.	PROPN
ejpam-3408	804	3	usa	usa	PROPN
ejpam-3408	804	4	,	,	PUNCT
ejpam-3408	804	5	50:947–948	50:947–948	PROPN
ejpam-3408	804	6	,	,	PUNCT
ejpam-3408	804	7	1963	1963	NUM
ejpam-3408	804	8	.	.	PUNCT
ejpam-3408	805	1	[	[	X
ejpam-3408	805	2	20	20	NUM
ejpam-3408	805	3	]	]	PUNCT
ejpam-3408	805	4	r.	r.	PROPN
ejpam-3408	805	5	h.	h.	PROPN
ejpam-3408	805	6	bruck	bruck	PROPN
ejpam-3408	805	7	.	.	PUNCT
ejpam-3408	806	1	some	some	DET
ejpam-3408	806	2	results	result	NOUN
ejpam-3408	806	3	in	in	ADP
ejpam-3408	806	4	the	the	DET
ejpam-3408	806	5	theory	theory	NOUN
ejpam-3408	806	6	of	of	ADP
ejpam-3408	806	7	linear	linear	PROPN
ejpam-3408	806	8	non	non	ADJ
ejpam-3408	806	9	-	-	ADJ
ejpam-3408	806	10	associative	associative	ADJ
ejpam-3408	806	11	algebras	algebra	NOUN
ejpam-3408	806	12	.	.	PUNCT
ejpam-3408	807	1	trans	trans	PROPN
ejpam-3408	807	2	.	.	PUNCT
ejpam-3408	808	1	amer	amer	PROPN
ejpam-3408	808	2	.	.	PUNCT
ejpam-3408	808	3	math	math	PROPN
ejpam-3408	808	4	.	.	PUNCT
ejpam-3408	809	1	soc	soc	PROPN
ejpam-3408	809	2	.	.	PUNCT
ejpam-3408	809	3	,	,	PUNCT
ejpam-3408	809	4	56:141–199	56:141–199	NUM
ejpam-3408	809	5	,	,	PUNCT
ejpam-3408	809	6	1944	1944	NUM
ejpam-3408	809	7	.	.	PUNCT
ejpam-3408	810	1	[	[	X
ejpam-3408	810	2	21	21	NUM
ejpam-3408	810	3	]	]	X
ejpam-3408	810	4	r.	r.	PROPN
ejpam-3408	810	5	h.	h.	PROPN
ejpam-3408	810	6	bruck	bruck	PROPN
ejpam-3408	810	7	.	.	PUNCT
ejpam-3408	811	1	some	some	DET
ejpam-3408	811	2	results	result	NOUN
ejpam-3408	811	3	in	in	ADP
ejpam-3408	811	4	the	the	DET
ejpam-3408	811	5	theory	theory	NOUN
ejpam-3408	811	6	of	of	ADP
ejpam-3408	811	7	quasigroups	quasigroups	PROPN
ejpam-3408	811	8	.	.	PUNCT
ejpam-3408	812	1	trans	trans	PROPN
ejpam-3408	812	2	.	.	PUNCT
ejpam-3408	813	1	amer	amer	PROPN
ejpam-3408	813	2	.	.	PUNCT
ejpam-3408	813	3	math	math	PROPN
ejpam-3408	813	4	.	.	PUNCT
ejpam-3408	814	1	soc	soc	PROPN
ejpam-3408	814	2	.	.	PUNCT
ejpam-3408	814	3	,	,	PUNCT
ejpam-3408	814	4	56:19–52	56:19–52	NUM
ejpam-3408	814	5	,	,	PUNCT
ejpam-3408	814	6	1944	1944	NUM
ejpam-3408	814	7	.	.	PUNCT
ejpam-3408	815	1	[	[	X
ejpam-3408	815	2	22	22	NUM
ejpam-3408	815	3	]	]	X
ejpam-3408	815	4	r.	r.	PROPN
ejpam-3408	815	5	h.	h.	PROPN
ejpam-3408	815	6	bruck	bruck	PROPN
ejpam-3408	815	7	.	.	PUNCT
ejpam-3408	816	1	contributions	contribution	NOUN
ejpam-3408	816	2	to	to	ADP
ejpam-3408	816	3	the	the	DET
ejpam-3408	816	4	theory	theory	NOUN
ejpam-3408	816	5	of	of	ADP
ejpam-3408	816	6	loops	loop	NOUN
ejpam-3408	816	7	.	.	PUNCT
ejpam-3408	817	1	trans	trans	PROPN
ejpam-3408	817	2	.	.	PUNCT
ejpam-3408	818	1	amer	amer	PROPN
ejpam-3408	818	2	.	.	PUNCT
ejpam-3408	818	3	math	math	PROPN
ejpam-3408	818	4	.	.	PUNCT
ejpam-3408	819	1	soc	soc	PROPN
ejpam-3408	819	2	.	.	PUNCT
ejpam-3408	819	3	,	,	PUNCT
ejpam-3408	819	4	60:245	60:245	NUM
ejpam-3408	819	5	–	–	PUNCT
ejpam-3408	819	6	354	354	NUM
ejpam-3408	819	7	,	,	PUNCT
ejpam-3408	819	8	1946	1946	NUM
ejpam-3408	819	9	.	.	PUNCT
ejpam-3408	820	1	[	[	X
ejpam-3408	820	2	23	23	NUM
ejpam-3408	820	3	]	]	X
ejpam-3408	820	4	r.	r.	PROPN
ejpam-3408	820	5	h.	h.	PROPN
ejpam-3408	820	6	bruck	bruck	PROPN
ejpam-3408	820	7	.	.	PUNCT
ejpam-3408	821	1	a	a	DET
ejpam-3408	821	2	survey	survey	NOUN
ejpam-3408	821	3	of	of	ADP
ejpam-3408	821	4	binary	binary	PROPN
ejpam-3408	821	5	systems	system	NOUN
ejpam-3408	821	6	.	.	PUNCT
ejpam-3408	822	1	springer	springer	NOUN
ejpam-3408	822	2	-	-	PUNCT
ejpam-3408	822	3	verlag	verlag	PROPN
ejpam-3408	822	4	,	,	PUNCT
ejpam-3408	822	5	berlin	berlin	PROPN
ejpam-3408	822	6	,	,	PUNCT
ejpam-3408	822	7	heidelberg	heidelberg	PROPN
ejpam-3408	822	8	,	,	PUNCT
ejpam-3408	822	9	1958	1958	NUM
ejpam-3408	822	10	.	.	PUNCT
ejpam-3408	823	1	[	[	X
ejpam-3408	823	2	24	24	NUM
ejpam-3408	823	3	]	]	X
ejpam-3408	823	4	r.	r.	PROPN
ejpam-3408	823	5	h.	h.	PROPN
ejpam-3408	823	6	bruck	bruck	PROPN
ejpam-3408	823	7	and	and	CCONJ
ejpam-3408	823	8	e.	e.	PROPN
ejpam-3408	823	9	kleinfeld	kleinfeld	PROPN
ejpam-3408	823	10	.	.	PUNCT
ejpam-3408	824	1	the	the	DET
ejpam-3408	824	2	structure	structure	NOUN
ejpam-3408	824	3	of	of	ADP
ejpam-3408	824	4	alternative	alternative	ADJ
ejpam-3408	824	5	division	division	NOUN
ejpam-3408	824	6	rings	ring	NOUN
ejpam-3408	824	7	.	.	PUNCT
ejpam-3408	825	1	proc	proc	PROPN
ejpam-3408	825	2	.	.	PUNCT
ejpam-3408	826	1	amer	amer	PROPN
ejpam-3408	826	2	.	.	PUNCT
ejpam-3408	826	3	math	math	PROPN
ejpam-3408	826	4	.	.	PUNCT
ejpam-3408	827	1	soc	soc	PROPN
ejpam-3408	827	2	.	.	PUNCT
ejpam-3408	827	3	,	,	PUNCT
ejpam-3408	827	4	2:878–890	2:878–890	NUM
ejpam-3408	827	5	,	,	PUNCT
ejpam-3408	827	6	1951	1951	NUM
ejpam-3408	827	7	.	.	PUNCT
ejpam-3408	828	1	references	reference	NOUN
ejpam-3408	828	2	394	394	NUM
ejpam-3408	828	3	[	[	X
ejpam-3408	828	4	25	25	NUM
ejpam-3408	828	5	]	]	X
ejpam-3408	828	6	o.	o.	PROPN
ejpam-3408	828	7	chein	chein	PROPN
ejpam-3408	828	8	.	.	PUNCT
ejpam-3408	829	1	moufang	moufang	PROPN
ejpam-3408	829	2	loops	loop	NOUN
ejpam-3408	829	3	of	of	ADP
ejpam-3408	829	4	small	small	ADJ
ejpam-3408	829	5	order	order	NOUN
ejpam-3408	829	6	i.	i.	PROPN
ejpam-3408	829	7	trans	trans	PROPN
ejpam-3408	829	8	.	.	PUNCT
ejpam-3408	830	1	amer	amer	PROPN
ejpam-3408	830	2	.	.	PUNCT
ejpam-3408	830	3	math	math	PROPN
ejpam-3408	830	4	.	.	PUNCT
ejpam-3408	831	1	soc	soc	PROPN
ejpam-3408	831	2	.	.	PUNCT
ejpam-3408	831	3	,	,	PUNCT
ejpam-3408	831	4	188:31–51	188:31–51	NUM
ejpam-3408	831	5	,	,	PUNCT
ejpam-3408	831	6	1974	1974	NUM
ejpam-3408	831	7	.	.	PUNCT
ejpam-3408	832	1	[	[	X
ejpam-3408	832	2	26	26	NUM
ejpam-3408	832	3	]	]	X
ejpam-3408	832	4	o.	o.	NOUN
ejpam-3408	832	5	chein	chein	ADV
ejpam-3408	832	6	and	and	CCONJ
ejpam-3408	832	7	e.	e.	PROPN
ejpam-3408	832	8	g.	g.	PROPN
ejpam-3408	832	9	goodaire	goodaire	PROPN
ejpam-3408	832	10	.	.	PUNCT
ejpam-3408	833	1	isomorphism	isomorphism	NOUN
ejpam-3408	833	2	of	of	ADP
ejpam-3408	833	3	loops	loop	NOUN
ejpam-3408	833	4	which	which	PRON
ejpam-3408	833	5	have	have	VERB
ejpam-3408	833	6	alternative	alternative	ADJ
ejpam-3408	833	7	loop	loop	NOUN
ejpam-3408	833	8	rings	ring	NOUN
ejpam-3408	833	9	.	.	PUNCT
ejpam-3408	834	1	comm	comm	NOUN
ejpam-3408	834	2	.	.	PUNCT
ejpam-3408	835	1	algebra	algebra	PROPN
ejpam-3408	835	2	,	,	PUNCT
ejpam-3408	835	3	13:1–20	13:1–20	NUM
ejpam-3408	835	4	,	,	PUNCT
ejpam-3408	835	5	1985	1985	NUM
ejpam-3408	835	6	.	.	PUNCT
ejpam-3408	836	1	[	[	X
ejpam-3408	836	2	27	27	NUM
ejpam-3408	836	3	]	]	X
ejpam-3408	836	4	o.	o.	NOUN
ejpam-3408	836	5	chein	chein	ADV
ejpam-3408	836	6	and	and	CCONJ
ejpam-3408	836	7	e.	e.	PROPN
ejpam-3408	836	8	g.	g.	PROPN
ejpam-3408	836	9	goodaire	goodaire	PROPN
ejpam-3408	836	10	.	.	PUNCT
ejpam-3408	837	1	loops	loop	NOUN
ejpam-3408	837	2	whose	whose	DET
ejpam-3408	837	3	loop	loop	NOUN
ejpam-3408	837	4	rings	ring	NOUN
ejpam-3408	837	5	are	be	AUX
ejpam-3408	837	6	alternative	alternative	ADJ
ejpam-3408	837	7	.	.	PUNCT
ejpam-3408	838	1	comm	comm	NOUN
ejpam-3408	838	2	.	.	PUNCT
ejpam-3408	839	1	algebra	algebra	PROPN
ejpam-3408	839	2	,	,	PUNCT
ejpam-3408	839	3	14:293–310	14:293–310	NUM
ejpam-3408	839	4	,	,	PUNCT
ejpam-3408	839	5	1986	1986	NUM
ejpam-3408	839	6	.	.	PUNCT
ejpam-3408	840	1	[	[	X
ejpam-3408	840	2	28	28	NUM
ejpam-3408	840	3	]	]	X
ejpam-3408	840	4	o.	o.	PROPN
ejpam-3408	840	5	chein	chein	ADV
ejpam-3408	840	6	and	and	CCONJ
ejpam-3408	840	7	e.	e.	PROPN
ejpam-3408	840	8	g.	g.	PROPN
ejpam-3408	840	9	goodaire	goodaire	PROPN
ejpam-3408	840	10	.	.	PUNCT
ejpam-3408	841	1	loops	loop	NOUN
ejpam-3408	841	2	whose	whose	DET
ejpam-3408	841	3	loop	loop	NOUN
ejpam-3408	841	4	rings	ring	NOUN
ejpam-3408	841	5	in	in	ADP
ejpam-3408	841	6	characteristic	characteristic	ADJ
ejpam-3408	841	7	2	2	NUM
ejpam-3408	841	8	are	be	AUX
ejpam-3408	841	9	alternative	alternative	ADJ
ejpam-3408	841	10	.	.	PUNCT
ejpam-3408	842	1	comm	comm	NOUN
ejpam-3408	842	2	.	.	PUNCT
ejpam-3408	843	1	algebra	algebra	PROPN
ejpam-3408	843	2	,	,	PUNCT
ejpam-3408	843	3	18:659–688	18:659–688	NUM
ejpam-3408	843	4	,	,	PUNCT
ejpam-3408	843	5	1990	1990	NUM
ejpam-3408	843	6	.	.	PUNCT
ejpam-3408	844	1	[	[	X
ejpam-3408	844	2	29	29	NUM
ejpam-3408	844	3	]	]	X
ejpam-3408	844	4	o.	o.	NOUN
ejpam-3408	844	5	chein	chein	ADV
ejpam-3408	844	6	and	and	CCONJ
ejpam-3408	844	7	e.	e.	PROPN
ejpam-3408	844	8	g.	g.	PROPN
ejpam-3408	844	9	goodaire	goodaire	PROPN
ejpam-3408	844	10	.	.	PUNCT
ejpam-3408	845	1	srar	srar	NOUN
ejpam-3408	845	2	loops	loop	VERB
ejpam-3408	845	3	with	with	ADP
ejpam-3408	845	4	more	more	ADJ
ejpam-3408	845	5	than	than	ADP
ejpam-3408	845	6	two	two	NUM
ejpam-3408	845	7	commutators	commutator	NOUN
ejpam-3408	845	8	.	.	PUNCT
ejpam-3408	846	1	j.	j.	PROPN
ejpam-3408	846	2	algebra	algebra	PROPN
ejpam-3408	846	3	,	,	PUNCT
ejpam-3408	846	4	319:1903–1912	319:1903–1912	NUM
ejpam-3408	846	5	,	,	PUNCT
ejpam-3408	846	6	2008	2008	NUM
ejpam-3408	846	7	.	.	PUNCT
ejpam-3408	847	1	[	[	X
ejpam-3408	847	2	30	30	NUM
ejpam-3408	847	3	]	]	X
ejpam-3408	847	4	v.	v.	PROPN
ejpam-3408	847	5	p.	p.	PROPN
ejpam-3408	847	6	chuvakov	chuvakov	NOUN
ejpam-3408	847	7	.	.	PUNCT
ejpam-3408	848	1	heredity	heredity	NOUN
ejpam-3408	848	2	of	of	ADP
ejpam-3408	848	3	radicals	radical	NOUN
ejpam-3408	848	4	in	in	ADP
ejpam-3408	848	5	a	a	DET
ejpam-3408	848	6	class	class	NOUN
ejpam-3408	848	7	of	of	ADP
ejpam-3408	848	8	non	non	ADJ
ejpam-3408	848	9	-	-	ADJ
ejpam-3408	848	10	commutative	commutative	ADJ
ejpam-3408	848	11	jordan	jordan	PROPN
ejpam-3408	848	12	rings	rings	PROPN
ejpam-3408	848	13	.	.	PUNCT
ejpam-3408	849	1	math	math	PROPN
ejpam-3408	849	2	.	.	PUNCT
ejpam-3408	850	1	notes	note	NOUN
ejpam-3408	850	2	,	,	PUNCT
ejpam-3408	850	3	54:1267–1273	54:1267–1273	NUM
ejpam-3408	850	4	,	,	PUNCT
ejpam-3408	850	5	1993	1993	NUM
ejpam-3408	850	6	.	.	PUNCT
ejpam-3408	851	1	[	[	X
ejpam-3408	851	2	31	31	NUM
ejpam-3408	851	3	]	]	PUNCT
ejpam-3408	851	4	p.	p.	NOUN
ejpam-3408	851	5	coelho	coelho	NOUN
ejpam-3408	851	6	and	and	CCONJ
ejpam-3408	851	7	u.	u.	PROPN
ejpam-3408	851	8	nunes	nunes	PROPN
ejpam-3408	851	9	.	.	PUNCT
ejpam-3408	852	1	lie	lie	PROPN
ejpam-3408	852	2	algebra	algebra	NOUN
ejpam-3408	852	3	application	application	NOUN
ejpam-3408	852	4	to	to	ADP
ejpam-3408	852	5	mobile	mobile	ADJ
ejpam-3408	852	6	robot	robot	NOUN
ejpam-3408	852	7	control	control	NOUN
ejpam-3408	852	8	:	:	PUNCT
ejpam-3408	852	9	a	a	DET
ejpam-3408	852	10	tutorial	tutorial	NOUN
ejpam-3408	852	11	.	.	PUNCT
ejpam-3408	853	1	robotica	robotica	PROPN
ejpam-3408	853	2	,	,	PUNCT
ejpam-3408	853	3	21:483–493	21:483–493	NUM
ejpam-3408	853	4	,	,	PUNCT
ejpam-3408	853	5	2003	2003	NUM
ejpam-3408	853	6	.	.	PUNCT
ejpam-3408	854	1	[	[	X
ejpam-3408	854	2	32	32	NUM
ejpam-3408	854	3	]	]	PUNCT
ejpam-3408	854	4	p.	p.	NOUN
ejpam-3408	854	5	m.	m.	PROPN
ejpam-3408	854	6	cohn	cohn	PROPN
ejpam-3408	854	7	.	.	PUNCT
ejpam-3408	855	1	a	a	DET
ejpam-3408	855	2	non	non	ADJ
ejpam-3408	855	3	-	-	ADJ
ejpam-3408	855	4	nilpotent	nilpotent	ADJ
ejpam-3408	855	5	lie	lie	NOUN
ejpam-3408	855	6	ring	ring	NOUN
ejpam-3408	855	7	satisfying	satisfy	VERB
ejpam-3408	855	8	the	the	DET
ejpam-3408	855	9	engel	engel	PROPN
ejpam-3408	855	10	condition	condition	NOUN
ejpam-3408	855	11	and	and	CCONJ
ejpam-3408	855	12	a	a	DET
ejpam-3408	855	13	nonnilpotent	nonnilpotent	ADJ
ejpam-3408	855	14	engel	engel	PROPN
ejpam-3408	855	15	group	group	PROPN
ejpam-3408	855	16	.	.	PUNCT
ejpam-3408	856	1	math	math	PROPN
ejpam-3408	856	2	.	.	PUNCT
ejpam-3408	857	1	proc	proc	PROPN
ejpam-3408	857	2	.	.	PUNCT
ejpam-3408	858	1	cambridge	cambridge	PROPN
ejpam-3408	858	2	philos	philos	PROPN
ejpam-3408	858	3	.	.	PUNCT
ejpam-3408	858	4	soc	soc	PROPN
ejpam-3408	858	5	.	.	PUNCT
ejpam-3408	858	6	,	,	PUNCT
ejpam-3408	858	7	51:401–405	51:401–405	PROPN
ejpam-3408	858	8	,	,	PUNCT
ejpam-3408	858	9	1955	1955	NUM
ejpam-3408	858	10	.	.	PUNCT
ejpam-3408	859	1	[	[	X
ejpam-3408	859	2	33	33	NUM
ejpam-3408	859	3	]	]	PUNCT
ejpam-3408	859	4	j.	j.	PROPN
ejpam-3408	859	5	h.	h.	PROPN
ejpam-3408	859	6	conway	conway	PROPN
ejpam-3408	859	7	and	and	CCONJ
ejpam-3408	859	8	d.	d.	PROPN
ejpam-3408	859	9	a.	a.	PROPN
ejpam-3408	859	10	smith	smith	PROPN
ejpam-3408	859	11	.	.	PUNCT
ejpam-3408	860	1	on	on	ADP
ejpam-3408	860	2	quaternions	quaternion	NOUN
ejpam-3408	860	3	and	and	CCONJ
ejpam-3408	860	4	octonions	octonion	NOUN
ejpam-3408	860	5	.	.	PUNCT
ejpam-3408	860	6	a.	a.	PROPN
ejpam-3408	860	7	k.	k.	PROPN
ejpam-3408	860	8	peters	peters	PROPN
ejpam-3408	860	9	,	,	PUNCT
ejpam-3408	860	10	massachusetts	massachusetts	PROPN
ejpam-3408	860	11	,	,	PUNCT
ejpam-3408	860	12	2003	2003	NUM
ejpam-3408	860	13	.	.	PUNCT
ejpam-3408	861	1	[	[	X
ejpam-3408	861	2	34	34	NUM
ejpam-3408	861	3	]	]	PUNCT
ejpam-3408	861	4	j.	j.	PROPN
ejpam-3408	861	5	f.	f.	PROPN
ejpam-3408	861	6	cornwell	cornwell	PROPN
ejpam-3408	861	7	.	.	PUNCT
ejpam-3408	862	1	group	group	NOUN
ejpam-3408	862	2	theory	theory	NOUN
ejpam-3408	862	3	in	in	ADP
ejpam-3408	862	4	physics	physics	PROPN
ejpam-3408	862	5	:	:	PUNCT
ejpam-3408	862	6	an	an	DET
ejpam-3408	862	7	introduction	introduction	NOUN
ejpam-3408	862	8	.	.	PUNCT
ejpam-3408	863	1	academic	academic	ADJ
ejpam-3408	863	2	press	press	NOUN
ejpam-3408	863	3	,	,	PUNCT
ejpam-3408	863	4	san	san	PROPN
ejpam-3408	863	5	diego	diego	PROPN
ejpam-3408	863	6	,	,	PUNCT
ejpam-3408	863	7	1997	1997	NUM
ejpam-3408	863	8	.	.	PUNCT
ejpam-3408	864	1	[	[	X
ejpam-3408	864	2	35	35	NUM
ejpam-3408	864	3	]	]	X
ejpam-3408	864	4	d.	d.	PROPN
ejpam-3408	864	5	eswara	eswara	PROPN
ejpam-3408	864	6	rao	rao	PROPN
ejpam-3408	864	7	d.	d.	PROPN
ejpam-3408	864	8	bharathi	bharathi	PROPN
ejpam-3408	864	9	and	and	CCONJ
ejpam-3408	864	10	p.	p.	PROPN
ejpam-3408	864	11	ravi	ravi	PROPN
ejpam-3408	864	12	.	.	PUNCT
ejpam-3408	865	1	right	right	ADJ
ejpam-3408	865	2	nucleus	nucleus	NOUN
ejpam-3408	865	3	in	in	ADP
ejpam-3408	865	4	right	right	ADJ
ejpam-3408	865	5	alternative	alternative	ADJ
ejpam-3408	865	6	rings	ring	NOUN
ejpam-3408	865	7	.	.	PUNCT
ejpam-3408	866	1	international	international	ADJ
ejpam-3408	866	2	journal	journal	PROPN
ejpam-3408	866	3	of	of	ADP
ejpam-3408	866	4	mathematical	mathematical	ADJ
ejpam-3408	866	5	archive	archive	NOUN
ejpam-3408	866	6	,	,	PUNCT
ejpam-3408	866	7	4:252–255	4:252–255	PROPN
ejpam-3408	866	8	,	,	PUNCT
ejpam-3408	866	9	2013	2013	NUM
ejpam-3408	866	10	.	.	PUNCT
ejpam-3408	867	1	[	[	X
ejpam-3408	867	2	36	36	NUM
ejpam-3408	867	3	]	]	X
ejpam-3408	867	4	b.	b.	PROPN
ejpam-3408	867	5	c.	c.	PROPN
ejpam-3408	867	6	dart	dart	PROPN
ejpam-3408	867	7	and	and	CCONJ
ejpam-3408	867	8	e.	e.	PROPN
ejpam-3408	867	9	g.	g.	PROPN
ejpam-3408	867	10	goodaire	goodaire	PROPN
ejpam-3408	867	11	.	.	PUNCT
ejpam-3408	868	1	loop	loop	NOUN
ejpam-3408	868	2	rings	ring	NOUN
ejpam-3408	868	3	satisfying	satisfy	VERB
ejpam-3408	868	4	identities	identity	NOUN
ejpam-3408	868	5	of	of	ADP
ejpam-3408	868	6	bolmoufang	bolmoufang	PROPN
ejpam-3408	868	7	type	type	PROPN
ejpam-3408	868	8	.	.	PUNCT
ejpam-3408	869	1	j.	j.	PROPN
ejpam-3408	869	2	algebra	algebra	PROPN
ejpam-3408	869	3	appl	appl	PROPN
ejpam-3408	869	4	,	,	PUNCT
ejpam-3408	869	5	8:401–411	8:401–411	NOUN
ejpam-3408	869	6	,	,	PUNCT
ejpam-3408	869	7	2009	2009	NUM
ejpam-3408	869	8	.	.	PUNCT
ejpam-3408	870	1	[	[	X
ejpam-3408	870	2	37	37	NUM
ejpam-3408	870	3	]	]	PUNCT
ejpam-3408	870	4	luiz	luiz	PROPN
ejpam-3408	870	5	g.	g.	PROPN
ejpam-3408	870	6	x.	x.	PROPN
ejpam-3408	870	7	de	de	PROPN
ejpam-3408	870	8	barros	barros	PROPN
ejpam-3408	870	9	and	and	CCONJ
ejpam-3408	870	10	s.	s.	PROPN
ejpam-3408	870	11	o.	o.	PROPN
ejpam-3408	870	12	juriaans	juriaans	PROPN
ejpam-3408	870	13	.	.	PUNCT
ejpam-3408	871	1	units	unit	NOUN
ejpam-3408	871	2	in	in	ADP
ejpam-3408	871	3	integral	integral	ADJ
ejpam-3408	871	4	loop	loop	NOUN
ejpam-3408	871	5	rings	ring	NOUN
ejpam-3408	871	6	.	.	PUNCT
ejpam-3408	872	1	j.	j.	PROPN
ejpam-3408	872	2	algebra	algebra	PROPN
ejpam-3408	872	3	,	,	PUNCT
ejpam-3408	872	4	183:637–648	183:637–648	NUM
ejpam-3408	872	5	,	,	PUNCT
ejpam-3408	872	6	1996	1996	NUM
ejpam-3408	872	7	.	.	PUNCT
ejpam-3408	873	1	[	[	X
ejpam-3408	873	2	38	38	NUM
ejpam-3408	873	3	]	]	PUNCT
ejpam-3408	873	4	luiz	luiz	NOUN
ejpam-3408	873	5	g.	g.	PROPN
ejpam-3408	873	6	x.	x.	PROPN
ejpam-3408	873	7	de	de	PROPN
ejpam-3408	873	8	barros	barros	PROPN
ejpam-3408	873	9	and	and	CCONJ
ejpam-3408	873	10	s.	s.	PROPN
ejpam-3408	873	11	o.	o.	PROPN
ejpam-3408	873	12	juriaans	juriaans	PROPN
ejpam-3408	873	13	.	.	PUNCT
ejpam-3408	874	1	units	unit	NOUN
ejpam-3408	874	2	in	in	ADP
ejpam-3408	874	3	alternative	alternative	ADJ
ejpam-3408	874	4	integral	integral	ADJ
ejpam-3408	874	5	loop	loop	NOUN
ejpam-3408	874	6	rings	ring	NOUN
ejpam-3408	874	7	.	.	PUNCT
ejpam-3408	875	1	results	result	VERB
ejpam-3408	875	2	math	math	PROPN
ejpam-3408	875	3	.	.	PUNCT
ejpam-3408	875	4	,	,	PUNCT
ejpam-3408	875	5	31:266–281	31:266–281	NUM
ejpam-3408	875	6	,	,	PUNCT
ejpam-3408	875	7	1997	1997	NUM
ejpam-3408	875	8	.	.	PUNCT
ejpam-3408	876	1	[	[	X
ejpam-3408	876	2	39	39	NUM
ejpam-3408	876	3	]	]	PUNCT
ejpam-3408	876	4	g.	g.	PROPN
ejpam-3408	876	5	m.	m.	PROPN
ejpam-3408	876	6	dixon	dixon	PROPN
ejpam-3408	876	7	.	.	PUNCT
ejpam-3408	877	1	division	division	NOUN
ejpam-3408	877	2	algebras	algebra	VERB
ejpam-3408	877	3	:	:	PUNCT
ejpam-3408	877	4	octonions	octonion	NOUN
ejpam-3408	877	5	,	,	PUNCT
ejpam-3408	877	6	quaternions	quaternion	NOUN
ejpam-3408	877	7	,	,	PUNCT
ejpam-3408	877	8	complex	complex	ADJ
ejpam-3408	877	9	numbers	number	NOUN
ejpam-3408	877	10	and	and	CCONJ
ejpam-3408	877	11	the	the	DET
ejpam-3408	877	12	algebraic	algebraic	ADJ
ejpam-3408	877	13	design	design	NOUN
ejpam-3408	877	14	of	of	ADP
ejpam-3408	877	15	physics	physics	PROPN
ejpam-3408	877	16	.	.	PUNCT
ejpam-3408	878	1	springer	springer	NOUN
ejpam-3408	878	2	-	-	PUNCT
ejpam-3408	878	3	science	science	PROPN
ejpam-3408	878	4	,	,	PUNCT
ejpam-3408	878	5	brandeis	brandeis	PROPN
ejpam-3408	878	6	university	university	PROPN
ejpam-3408	878	7	,	,	PUNCT
ejpam-3408	878	8	usa	usa	PROPN
ejpam-3408	878	9	,	,	PUNCT
ejpam-3408	878	10	1994	1994	NUM
ejpam-3408	878	11	.	.	PUNCT
ejpam-3408	879	1	[	[	X
ejpam-3408	879	2	40	40	NUM
ejpam-3408	879	3	]	]	PUNCT
ejpam-3408	879	4	h.	h.	PROPN
ejpam-3408	879	5	doostie	doostie	PROPN
ejpam-3408	879	6	and	and	CCONJ
ejpam-3408	879	7	l.	l.	PROPN
ejpam-3408	879	8	pourfaraj	pourfaraj	PROPN
ejpam-3408	879	9	.	.	PUNCT
ejpam-3408	880	1	finite	finite	PROPN
ejpam-3408	880	2	rings	ring	NOUN
ejpam-3408	880	3	and	and	CCONJ
ejpam-3408	880	4	loop	loop	NOUN
ejpam-3408	880	5	rings	ring	NOUN
ejpam-3408	880	6	involving	involve	VERB
ejpam-3408	880	7	the	the	DET
ejpam-3408	880	8	commuting	commute	VERB
ejpam-3408	880	9	regular	regular	ADJ
ejpam-3408	880	10	elements	element	NOUN
ejpam-3408	880	11	.	.	PUNCT
ejpam-3408	881	1	international	international	ADJ
ejpam-3408	881	2	mathematical	mathematical	PROPN
ejpam-3408	881	3	forum	forum	PROPN
ejpam-3408	881	4	,	,	PUNCT
ejpam-3408	881	5	2:2579–2586	2:2579–2586	NUM
ejpam-3408	881	6	,	,	PUNCT
ejpam-3408	881	7	2007	2007	NUM
ejpam-3408	881	8	.	.	PUNCT
ejpam-3408	882	1	references	reference	NOUN
ejpam-3408	882	2	395	395	NUM
ejpam-3408	882	3	[	[	X
ejpam-3408	882	4	41	41	NUM
ejpam-3408	882	5	]	]	X
ejpam-3408	882	6	g.	g.	PROPN
ejpam-3408	882	7	v.	v.	ADP
ejpam-3408	882	8	dorofeev	dorofeev	PROPN
ejpam-3408	882	9	.	.	PUNCT
ejpam-3408	883	1	one	one	NUM
ejpam-3408	883	2	example	example	NOUN
ejpam-3408	883	3	in	in	ADP
ejpam-3408	883	4	the	the	DET
ejpam-3408	883	5	theory	theory	NOUN
ejpam-3408	883	6	of	of	ADP
ejpam-3408	883	7	alternative	alternative	ADJ
ejpam-3408	883	8	rings	ring	NOUN
ejpam-3408	883	9	.	.	PUNCT
ejpam-3408	884	1	sibirsk	sibirsk	PROPN
ejpam-3408	884	2	.	.	PUNCT
ejpam-3408	885	1	mat	mat	NOUN
ejpam-3408	885	2	.	.	PUNCT
ejpam-3408	886	1	zh	zh	PROPN
ejpam-3408	886	2	.	.	PROPN
ejpam-3408	886	3	,	,	PUNCT
ejpam-3408	886	4	4:1049–1052	4:1049–1052	NUM
ejpam-3408	886	5	,	,	PUNCT
ejpam-3408	886	6	1963	1963	NUM
ejpam-3408	886	7	.	.	PUNCT
ejpam-3408	887	1	[	[	X
ejpam-3408	887	2	42	42	NUM
ejpam-3408	887	3	]	]	PUNCT
ejpam-3408	887	4	r.	r.	PROPN
ejpam-3408	887	5	dubisch	dubisch	PROPN
ejpam-3408	887	6	and	and	CCONJ
ejpam-3408	887	7	s.	s.	PROPN
ejpam-3408	887	8	perlis	perlis	PROPN
ejpam-3408	887	9	.	.	PUNCT
ejpam-3408	888	1	on	on	ADP
ejpam-3408	888	2	the	the	DET
ejpam-3408	888	3	radical	radical	NOUN
ejpam-3408	888	4	of	of	ADP
ejpam-3408	888	5	a	a	DET
ejpam-3408	888	6	non	non	ADJ
ejpam-3408	888	7	-	-	ADJ
ejpam-3408	888	8	associative	associative	ADJ
ejpam-3408	888	9	algebra	algebra	NOUN
ejpam-3408	888	10	.	.	PUNCT
ejpam-3408	889	1	amer	amer	PROPN
ejpam-3408	889	2	.	.	PUNCT
ejpam-3408	890	1	j.	j.	PROPN
ejpam-3408	890	2	math	math	PROPN
ejpam-3408	890	3	.	.	PUNCT
ejpam-3408	890	4	,	,	PUNCT
ejpam-3408	890	5	70:540–546	70:540–546	PROPN
ejpam-3408	890	6	,	,	PUNCT
ejpam-3408	890	7	1948	1948	NUM
ejpam-3408	890	8	.	.	PUNCT
ejpam-3408	891	1	[	[	X
ejpam-3408	891	2	43	43	NUM
ejpam-3408	891	3	]	]	X
ejpam-3408	891	4	e.	e.	PROPN
ejpam-3408	891	5	b.	b.	PROPN
ejpam-3408	891	6	dynkin	dynkin	PROPN
ejpam-3408	891	7	.	.	PUNCT
ejpam-3408	892	1	computation	computation	NOUN
ejpam-3408	892	2	of	of	ADP
ejpam-3408	892	3	the	the	DET
ejpam-3408	892	4	coefficients	coefficient	NOUN
ejpam-3408	892	5	in	in	ADP
ejpam-3408	892	6	the	the	DET
ejpam-3408	892	7	campbell	campbell	NOUN
ejpam-3408	892	8	-	-	PUNCT
ejpam-3408	892	9	hausdorff	hausdorff	PROPN
ejpam-3408	892	10	formula	formula	NOUN
ejpam-3408	892	11	.	.	PUNCT
ejpam-3408	893	1	dokl	dokl	NOUN
ejpam-3408	893	2	.	.	PUNCT
ejpam-3408	893	3	akad	akad	PROPN
ejpam-3408	893	4	.	.	PUNCT
ejpam-3408	894	1	nauk	nauk	PROPN
ejpam-3408	894	2	sssr	sssr	NOUN
ejpam-3408	894	3	,	,	PUNCT
ejpam-3408	894	4	57:323–326	57:323–326	PROPN
ejpam-3408	894	5	,	,	PUNCT
ejpam-3408	894	6	1947	1947	NUM
ejpam-3408	894	7	.	.	PUNCT
ejpam-3408	895	1	[	[	X
ejpam-3408	895	2	44	44	NUM
ejpam-3408	895	3	]	]	PUNCT
ejpam-3408	895	4	yuanlin	yuanlin	PROPN
ejpam-3408	895	5	li	li	PROPN
ejpam-3408	895	6	e.	e.	PROPN
ejpam-3408	895	7	g.	g.	PROPN
ejpam-3408	895	8	goodaire	goodaire	PROPN
ejpam-3408	895	9	and	and	CCONJ
ejpam-3408	895	10	m.	m.	NOUN
ejpam-3408	895	11	m.	m.	NOUN
ejpam-3408	895	12	parmenter	parmenter	NOUN
ejpam-3408	895	13	.	.	PUNCT
ejpam-3408	896	1	hypercentral	hypercentral	ADJ
ejpam-3408	896	2	units	unit	NOUN
ejpam-3408	896	3	in	in	ADP
ejpam-3408	896	4	alternative	alternative	ADJ
ejpam-3408	896	5	loop	loop	NOUN
ejpam-3408	896	6	rings	ring	NOUN
ejpam-3408	896	7	.	.	PUNCT
ejpam-3408	897	1	j.	j.	PROPN
ejpam-3408	897	2	algebra	algebra	PROPN
ejpam-3408	897	3	,	,	PUNCT
ejpam-3408	897	4	283:317–326	283:317–326	NUM
ejpam-3408	897	5	,	,	PUNCT
ejpam-3408	897	6	2005	2005	NUM
ejpam-3408	897	7	.	.	PUNCT
ejpam-3408	898	1	[	[	X
ejpam-3408	898	2	45	45	NUM
ejpam-3408	898	3	]	]	X
ejpam-3408	898	4	n.	n.	PROPN
ejpam-3408	898	5	yu	yu	PROPN
ejpam-3408	898	6	.	.	PROPN
ejpam-3408	898	7	makarenko	makarenko	PROPN
ejpam-3408	898	8	e.	e.	PROPN
ejpam-3408	898	9	i.	i.	PROPN
ejpam-3408	898	10	khukhro	khukhro	PROPN
ejpam-3408	898	11	and	and	CCONJ
ejpam-3408	898	12	p.	p.	PROPN
ejpam-3408	898	13	shumyatsky	shumyatsky	PROPN
ejpam-3408	898	14	.	.	PUNCT
ejpam-3408	899	1	frobenius	frobenius	ADJ
ejpam-3408	899	2	groups	group	NOUN
ejpam-3408	899	3	of	of	ADP
ejpam-3408	899	4	automorphisms	automorphism	NOUN
ejpam-3408	899	5	and	and	CCONJ
ejpam-3408	899	6	their	their	PRON
ejpam-3408	899	7	fixed	fix	VERB
ejpam-3408	899	8	points	point	NOUN
ejpam-3408	899	9	.	.	PUNCT
ejpam-3408	900	1	forum	forum	PROPN
ejpam-3408	900	2	math	math	PROPN
ejpam-3408	900	3	.	.	PUNCT
ejpam-3408	900	4	,	,	PUNCT
ejpam-3408	900	5	26:73–112	26:73–112	NUM
ejpam-3408	900	6	,	,	PUNCT
ejpam-3408	900	7	2011	2011	NUM
ejpam-3408	900	8	.	.	PUNCT
ejpam-3408	901	1	[	[	X
ejpam-3408	901	2	46	46	NUM
ejpam-3408	901	3	]	]	PUNCT
ejpam-3408	901	4	t.	t.	PROPN
ejpam-3408	901	5	s.	s.	PROPN
ejpam-3408	901	6	erockson	erockson	PROPN
ejpam-3408	901	7	and	and	CCONJ
ejpam-3408	901	8	s.	s.	PROPN
ejpam-3408	901	9	montgomery	montgomery	PROPN
ejpam-3408	901	10	.	.	PUNCT
ejpam-3408	902	1	the	the	DET
ejpam-3408	902	2	prime	prime	ADJ
ejpam-3408	902	3	radical	radical	ADJ
ejpam-3408	902	4	in	in	ADP
ejpam-3408	902	5	special	special	ADJ
ejpam-3408	902	6	jordan	jordan	PROPN
ejpam-3408	902	7	rings	rings	PROPN
ejpam-3408	902	8	.	.	PUNCT
ejpam-3408	903	1	trans	trans	PROPN
ejpam-3408	903	2	.	.	PUNCT
ejpam-3408	904	1	amer	amer	PROPN
ejpam-3408	904	2	.	.	PUNCT
ejpam-3408	904	3	math	math	PROPN
ejpam-3408	904	4	.	.	PUNCT
ejpam-3408	905	1	soc	soc	PROPN
ejpam-3408	905	2	.	.	PUNCT
ejpam-3408	905	3	,	,	PUNCT
ejpam-3408	905	4	156:155–164	156:155–164	NUM
ejpam-3408	905	5	,	,	PUNCT
ejpam-3408	905	6	1971	1971	NUM
ejpam-3408	905	7	.	.	PUNCT
ejpam-3408	906	1	[	[	X
ejpam-3408	906	2	47	47	NUM
ejpam-3408	906	3	]	]	X
ejpam-3408	906	4	h.	h.	PROPN
ejpam-3408	906	5	essannouni	essannouni	PROPN
ejpam-3408	906	6	and	and	CCONJ
ejpam-3408	906	7	a.	a.	NOUN
ejpam-3408	906	8	kaidi	kaidi	PROPN
ejpam-3408	906	9	.	.	PUNCT
ejpam-3408	906	10	semiprime	semiprime	PROPN
ejpam-3408	906	11	alternative	alternative	PROPN
ejpam-3408	906	12	rings	ring	NOUN
ejpam-3408	906	13	with	with	ADP
ejpam-3408	906	14	a.c.c	a.c.c	NOUN
ejpam-3408	906	15	.	.	PUNCT
ejpam-3408	907	1	lecture	lecture	NOUN
ejpam-3408	907	2	notes	note	NOUN
ejpam-3408	907	3	in	in	ADP
ejpam-3408	907	4	math	math	NOUN
ejpam-3408	907	5	.	.	PUNCT
ejpam-3408	907	6	,	,	PUNCT
ejpam-3408	907	7	1328:82–93	1328:82–93	NUM
ejpam-3408	907	8	,	,	PUNCT
ejpam-3408	907	9	1988	1988	NUM
ejpam-3408	907	10	.	.	PUNCT
ejpam-3408	908	1	[	[	X
ejpam-3408	908	2	48	48	NUM
ejpam-3408	908	3	]	]	PUNCT
ejpam-3408	908	4	h.	h.	PROPN
ejpam-3408	908	5	essannounia	essannounia	PROPN
ejpam-3408	908	6	and	and	CCONJ
ejpam-3408	908	7	a.	a.	NOUN
ejpam-3408	908	8	kaidi	kaidi	PROPN
ejpam-3408	908	9	.	.	PUNCT
ejpam-3408	909	1	goldie	goldie	PROPN
ejpam-3408	909	2	’s	’s	PART
ejpam-3408	909	3	theorem	theorem	NOUN
ejpam-3408	909	4	for	for	ADP
ejpam-3408	909	5	alternative	alternative	ADJ
ejpam-3408	909	6	rings	ring	NOUN
ejpam-3408	909	7	.	.	PUNCT
ejpam-3408	910	1	proc	proc	PROPN
ejpam-3408	910	2	.	.	PUNCT
ejpam-3408	911	1	amer	amer	PROPN
ejpam-3408	911	2	.	.	PUNCT
ejpam-3408	911	3	math	math	PROPN
ejpam-3408	911	4	.	.	PUNCT
ejpam-3408	912	1	soc	soc	PROPN
ejpam-3408	912	2	.	.	PROPN
ejpam-3408	912	3	,	,	PUNCT
ejpam-3408	912	4	121:39–45	121:39–45	NUM
ejpam-3408	912	5	,	,	PUNCT
ejpam-3408	912	6	1994	1994	NUM
ejpam-3408	912	7	.	.	PUNCT
ejpam-3408	913	1	[	[	X
ejpam-3408	913	2	49	49	NUM
ejpam-3408	913	3	]	]	PUNCT
ejpam-3408	913	4	c.	c.	NOUN
ejpam-3408	913	5	faith	faith	NOUN
ejpam-3408	913	6	.	.	PUNCT
ejpam-3408	914	1	radical	radical	ADJ
ejpam-3408	914	2	extensions	extension	NOUN
ejpam-3408	914	3	of	of	ADP
ejpam-3408	914	4	rings	ring	NOUN
ejpam-3408	914	5	.	.	PUNCT
ejpam-3408	915	1	proc	proc	PROPN
ejpam-3408	915	2	.	.	PUNCT
ejpam-3408	916	1	amer	amer	PROPN
ejpam-3408	916	2	.	.	PUNCT
ejpam-3408	916	3	math	math	PROPN
ejpam-3408	916	4	.	.	PUNCT
ejpam-3408	917	1	soc	soc	PROPN
ejpam-3408	917	2	.	.	PUNCT
ejpam-3408	917	3	,	,	PUNCT
ejpam-3408	917	4	12:274–283	12:274–283	NUM
ejpam-3408	917	5	,	,	PUNCT
ejpam-3408	917	6	1961	1961	NUM
ejpam-3408	917	7	.	.	PUNCT
ejpam-3408	918	1	[	[	X
ejpam-3408	918	2	50	50	NUM
ejpam-3408	918	3	]	]	X
ejpam-3408	918	4	b.	b.	PROPN
ejpam-3408	918	5	l.	l.	PROPN
ejpam-3408	918	6	m.	m.	PROPN
ejpam-3408	918	7	ferreira	ferreira	PROPN
ejpam-3408	918	8	and	and	CCONJ
ejpam-3408	918	9	r.	r.	PROPN
ejpam-3408	918	10	nascimento	nascimento	PROPN
ejpam-3408	918	11	.	.	PUNCT
ejpam-3408	919	1	derivable	derivable	ADJ
ejpam-3408	919	2	maps	map	NOUN
ejpam-3408	919	3	on	on	ADP
ejpam-3408	919	4	alternative	alternative	ADJ
ejpam-3408	919	5	rings	ring	NOUN
ejpam-3408	919	6	.	.	PUNCT
ejpam-3408	920	1	rev	rev	PROPN
ejpam-3408	920	2	.	.	PROPN
ejpam-3408	920	3	cinc	cinc	PROPN
ejpam-3408	920	4	.	.	PUNCT
ejpam-3408	920	5	exatas	exatas	PROPN
ejpam-3408	920	6	nat	nat	PROPN
ejpam-3408	920	7	.	.	PUNCT
ejpam-3408	920	8	,	,	PUNCT
ejpam-3408	920	9	16:9–15	16:9–15	NUM
ejpam-3408	920	10	,	,	PUNCT
ejpam-3408	920	11	2014	2014	NUM
ejpam-3408	920	12	.	.	PUNCT
ejpam-3408	921	1	[	[	X
ejpam-3408	921	2	51	51	NUM
ejpam-3408	921	3	]	]	PUNCT
ejpam-3408	921	4	a.	a.	NOUN
ejpam-3408	921	5	forsythe	forsythe	PROPN
ejpam-3408	921	6	and	and	CCONJ
ejpam-3408	921	7	n.	n.	PROPN
ejpam-3408	921	8	h.	h.	PROPN
ejpam-3408	921	9	mccoy	mccoy	PROPN
ejpam-3408	921	10	.	.	PUNCT
ejpam-3408	922	1	on	on	ADP
ejpam-3408	922	2	the	the	DET
ejpam-3408	922	3	commutativity	commutativity	NOUN
ejpam-3408	922	4	of	of	ADP
ejpam-3408	922	5	certain	certain	ADJ
ejpam-3408	922	6	rings	ring	NOUN
ejpam-3408	922	7	.	.	PUNCT
ejpam-3408	923	1	bull	bull	NOUN
ejpam-3408	923	2	.	.	PUNCT
ejpam-3408	924	1	amer	amer	PROPN
ejpam-3408	924	2	.	.	PUNCT
ejpam-3408	924	3	math	math	PROPN
ejpam-3408	924	4	.	.	PUNCT
ejpam-3408	925	1	soc	soc	PROPN
ejpam-3408	925	2	.	.	PUNCT
ejpam-3408	925	3	,	,	PUNCT
ejpam-3408	925	4	52:523–526	52:523–526	NUM
ejpam-3408	925	5	,	,	PUNCT
ejpam-3408	925	6	1946	1946	NUM
ejpam-3408	925	7	.	.	PUNCT
ejpam-3408	926	1	[	[	X
ejpam-3408	926	2	52	52	NUM
ejpam-3408	926	3	]	]	PUNCT
ejpam-3408	926	4	a.	a.	NOUN
ejpam-3408	926	5	t.	t.	PROPN
ejpam-3408	926	6	gainov	gainov	PROPN
ejpam-3408	926	7	.	.	PUNCT
ejpam-3408	927	1	identical	identical	ADJ
ejpam-3408	927	2	relations	relation	NOUN
ejpam-3408	927	3	for	for	ADP
ejpam-3408	927	4	binary	binary	ADJ
ejpam-3408	927	5	-	-	PUNCT
ejpam-3408	927	6	lie	lie	NOUN
ejpam-3408	927	7	rings	ring	NOUN
ejpam-3408	927	8	.	.	PUNCT
ejpam-3408	928	1	uspekhi	uspekhi	PROPN
ejpam-3408	928	2	mat	mat	PROPN
ejpam-3408	928	3	.	.	PUNCT
ejpam-3408	928	4	nauk	nauk	PROPN
ejpam-3408	928	5	,	,	PUNCT
ejpam-3408	928	6	3:141–146	3:141–146	NUM
ejpam-3408	928	7	,	,	PUNCT
ejpam-3408	928	8	1957	1957	NUM
ejpam-3408	928	9	.	.	PUNCT
ejpam-3408	929	1	[	[	X
ejpam-3408	929	2	53	53	NUM
ejpam-3408	929	3	]	]	PUNCT
ejpam-3408	929	4	t.	t.	NOUN
ejpam-3408	929	5	gaketem	gaketem	PROPN
ejpam-3408	929	6	.	.	PUNCT
ejpam-3408	930	1	quasi	quasi	ADJ
ejpam-3408	930	2	-	-	NOUN
ejpam-3408	930	3	ideals	ideal	NOUN
ejpam-3408	930	4	of	of	ADP
ejpam-3408	930	5	a	a	DET
ejpam-3408	930	6	p	p	NOUN
ejpam-3408	930	7	-	-	PUNCT
ejpam-3408	930	8	regular	regular	NOUN
ejpam-3408	930	9	near	near	ADP
ejpam-3408	930	10	left	left	ADJ
ejpam-3408	930	11	almost	almost	ADV
ejpam-3408	930	12	rings	ring	NOUN
ejpam-3408	930	13	.	.	PUNCT
ejpam-3408	931	1	international	international	ADJ
ejpam-3408	931	2	journal	journal	NOUN
ejpam-3408	931	3	of	of	ADP
ejpam-3408	931	4	pure	pure	ADJ
ejpam-3408	931	5	and	and	CCONJ
ejpam-3408	931	6	applied	applied	ADJ
ejpam-3408	931	7	mathematics	mathematic	NOUN
ejpam-3408	931	8	,	,	PUNCT
ejpam-3408	931	9	87:219–227	87:219–227	PROPN
ejpam-3408	931	10	,	,	PUNCT
ejpam-3408	931	11	2013	2013	NUM
ejpam-3408	931	12	.	.	PUNCT
ejpam-3408	932	1	[	[	X
ejpam-3408	932	2	54	54	NUM
ejpam-3408	932	3	]	]	PUNCT
ejpam-3408	932	4	p.	p.	NOUN
ejpam-3408	932	5	j.	j.	PROPN
ejpam-3408	932	6	garijo	garijo	PROPN
ejpam-3408	932	7	.	.	PUNCT
ejpam-3408	933	1	the	the	DET
ejpam-3408	933	2	jordan	jordan	PROPN
ejpam-3408	933	3	regular	regular	PROPN
ejpam-3408	933	4	ring	ring	NOUN
ejpam-3408	933	5	associated	associate	VERB
ejpam-3408	933	6	to	to	ADP
ejpam-3408	933	7	a	a	DET
ejpam-3408	933	8	finite	finite	ADJ
ejpam-3408	933	9	jbw	jbw	NOUN
ejpam-3408	933	10	-	-	PUNCT
ejpam-3408	933	11	algebra	algebra	NOUN
ejpam-3408	933	12	.	.	PUNCT
ejpam-3408	934	1	j.	j.	PROPN
ejpam-3408	934	2	algebra	algebra	PROPN
ejpam-3408	934	3	,	,	PUNCT
ejpam-3408	934	4	110:56–73	110:56–73	NUM
ejpam-3408	934	5	,	,	PUNCT
ejpam-3408	934	6	1987	1987	NUM
ejpam-3408	934	7	.	.	PUNCT
ejpam-3408	935	1	[	[	X
ejpam-3408	935	2	55	55	NUM
ejpam-3408	935	3	]	]	PUNCT
ejpam-3408	935	4	s.	s.	PROPN
ejpam-3408	935	5	gonzalez	gonzalez	PROPN
ejpam-3408	935	6	.	.	PUNCT
ejpam-3408	936	1	non	non	ADJ
ejpam-3408	936	2	-	-	ADJ
ejpam-3408	936	3	associative	associative	ADJ
ejpam-3408	936	4	algebra	algebra	NOUN
ejpam-3408	936	5	and	and	CCONJ
ejpam-3408	936	6	its	its	PRON
ejpam-3408	936	7	applications	application	NOUN
ejpam-3408	936	8	.	.	PUNCT
ejpam-3408	937	1	kluwer	kluwer	NOUN
ejpam-3408	937	2	,	,	PUNCT
ejpam-3408	937	3	dordrecht	dordrecht	PROPN
ejpam-3408	937	4	,	,	PUNCT
ejpam-3408	937	5	proc	proc	NOUN
ejpam-3408	937	6	.	.	PUNCT
ejpam-3408	937	7	of	of	ADP
ejpam-3408	937	8	the	the	DET
ejpam-3408	937	9	third	third	ADJ
ejpam-3408	937	10	intl	intl	PROPN
ejpam-3408	937	11	.	.	PUNCT
ejpam-3408	938	1	conf	conf	PROPN
ejpam-3408	938	2	.	.	PUNCT
ejpam-3408	939	1	oviedo	oviedo	PROPN
ejpam-3408	939	2	,	,	PUNCT
ejpam-3408	939	3	spain	spain	PROPN
ejpam-3408	939	4	,	,	PUNCT
ejpam-3408	939	5	1994	1994	NUM
ejpam-3408	939	6	.	.	PUNCT
ejpam-3408	940	1	[	[	X
ejpam-3408	940	2	56	56	NUM
ejpam-3408	940	3	]	]	X
ejpam-3408	940	4	s.	s.	PROPN
ejpam-3408	940	5	gonzalez	gonzalez	PROPN
ejpam-3408	940	6	and	and	CCONJ
ejpam-3408	940	7	c.	c.	PROPN
ejpam-3408	940	8	martinez	martinez	PROPN
ejpam-3408	940	9	.	.	PUNCT
ejpam-3408	941	1	order	order	NOUN
ejpam-3408	941	2	relation	relation	NOUN
ejpam-3408	941	3	in	in	ADP
ejpam-3408	941	4	jordan	jordan	PROPN
ejpam-3408	941	5	rings	ring	NOUN
ejpam-3408	941	6	and	and	CCONJ
ejpam-3408	941	7	a	a	DET
ejpam-3408	941	8	structural	structural	ADJ
ejpam-3408	941	9	theorem	theorem	NOUN
ejpam-3408	941	10	.	.	PROPN
ejpam-3408	942	1	proc	proc	PROPN
ejpam-3408	942	2	.	.	PUNCT
ejpam-3408	943	1	amer	amer	PROPN
ejpam-3408	943	2	.	.	PUNCT
ejpam-3408	943	3	math	math	PROPN
ejpam-3408	943	4	.	.	PUNCT
ejpam-3408	944	1	soc	soc	PROPN
ejpam-3408	944	2	.	.	PUNCT
ejpam-3408	944	3	,	,	PUNCT
ejpam-3408	944	4	98:379–388	98:379–388	NUM
ejpam-3408	944	5	,	,	PUNCT
ejpam-3408	944	6	1986	1986	NUM
ejpam-3408	944	7	.	.	PUNCT
ejpam-3408	945	1	[	[	X
ejpam-3408	945	2	57	57	NUM
ejpam-3408	945	3	]	]	PUNCT
ejpam-3408	945	4	e.	e.	PROPN
ejpam-3408	945	5	g.	g.	PROPN
ejpam-3408	945	6	goodaire	goodaire	PROPN
ejpam-3408	945	7	.	.	PUNCT
ejpam-3408	946	1	alternative	alternative	PROPN
ejpam-3408	946	2	loop	loop	PROPN
ejpam-3408	946	3	rings	ring	NOUN
ejpam-3408	946	4	.	.	PUNCT
ejpam-3408	947	1	publ	publ	PROPN
ejpam-3408	947	2	.	.	PUNCT
ejpam-3408	948	1	math	math	NOUN
ejpam-3408	948	2	.	.	PUNCT
ejpam-3408	949	1	debrecen	debrecen	PROPN
ejpam-3408	949	2	,	,	PUNCT
ejpam-3408	949	3	30:31–38	30:31–38	PROPN
ejpam-3408	949	4	,	,	PUNCT
ejpam-3408	949	5	1983	1983	NUM
ejpam-3408	949	6	.	.	PUNCT
ejpam-3408	950	1	references	reference	NOUN
ejpam-3408	950	2	396	396	NUM
ejpam-3408	950	3	[	[	X
ejpam-3408	950	4	58	58	NUM
ejpam-3408	950	5	]	]	PUNCT
ejpam-3408	950	6	e.	e.	PROPN
ejpam-3408	950	7	g.	g.	PROPN
ejpam-3408	950	8	goodaire	goodaire	PROPN
ejpam-3408	950	9	.	.	PUNCT
ejpam-3408	951	1	a	a	DET
ejpam-3408	951	2	brief	brief	ADJ
ejpam-3408	951	3	history	history	NOUN
ejpam-3408	951	4	of	of	ADP
ejpam-3408	951	5	loop	loop	NOUN
ejpam-3408	951	6	rings	ring	NOUN
ejpam-3408	951	7	.	.	PUNCT
ejpam-3408	952	1	mat	mat	NOUN
ejpam-3408	952	2	.	.	PUNCT
ejpam-3408	952	3	contemp	contemp	NOUN
ejpam-3408	952	4	.	.	PUNCT
ejpam-3408	953	1	,	,	PUNCT
ejpam-3408	953	2	16:93–109	16:93–109	NUM
ejpam-3408	953	3	,	,	PUNCT
ejpam-3408	953	4	1999	1999	NUM
ejpam-3408	953	5	.	.	PUNCT
ejpam-3408	954	1	[	[	X
ejpam-3408	954	2	59	59	NUM
ejpam-3408	954	3	]	]	PUNCT
ejpam-3408	954	4	e.	e.	PROPN
ejpam-3408	954	5	g.	g.	PROPN
ejpam-3408	954	6	goodaire	goodaire	PROPN
ejpam-3408	954	7	.	.	PUNCT
ejpam-3408	955	1	nilpotent	nilpotent	ADJ
ejpam-3408	955	2	right	right	ADJ
ejpam-3408	955	3	alternative	alternative	ADJ
ejpam-3408	955	4	rings	ring	NOUN
ejpam-3408	955	5	and	and	CCONJ
ejpam-3408	955	6	bol	bol	NOUN
ejpam-3408	955	7	circle	circle	NOUN
ejpam-3408	955	8	loops	loop	NOUN
ejpam-3408	955	9	.	.	PUNCT
ejpam-3408	956	1	comm	comm	NOUN
ejpam-3408	956	2	.	.	PUNCT
ejpam-3408	957	1	algebra	algebra	NOUN
ejpam-3408	957	2	,	,	PUNCT
ejpam-3408	957	3	28:2445–2459	28:2445–2459	NUM
ejpam-3408	957	4	,	,	PUNCT
ejpam-3408	957	5	2000	2000	NUM
ejpam-3408	957	6	.	.	PUNCT
ejpam-3408	958	1	[	[	X
ejpam-3408	958	2	60	60	NUM
ejpam-3408	958	3	]	]	X
ejpam-3408	958	4	e.	e.	PROPN
ejpam-3408	958	5	g.	g.	PROPN
ejpam-3408	958	6	goodaire	goodaire	PROPN
ejpam-3408	958	7	.	.	PUNCT
ejpam-3408	959	1	units	unit	NOUN
ejpam-3408	959	2	in	in	ADP
ejpam-3408	959	3	right	right	ADJ
ejpam-3408	959	4	alternative	alternative	PROPN
ejpam-3408	959	5	loop	loop	NOUN
ejpam-3408	959	6	rings	ring	NOUN
ejpam-3408	959	7	.	.	PUNCT
ejpam-3408	960	1	publ	publ	PROPN
ejpam-3408	960	2	.	.	PUNCT
ejpam-3408	961	1	math	math	NOUN
ejpam-3408	961	2	.	.	PUNCT
ejpam-3408	962	1	debrecen	debrecen	PROPN
ejpam-3408	962	2	,	,	PUNCT
ejpam-3408	962	3	59:353	59:353	NUM
ejpam-3408	962	4	–	–	PUNCT
ejpam-3408	962	5	362	362	NUM
ejpam-3408	962	6	,	,	PUNCT
ejpam-3408	962	7	2001	2001	NUM
ejpam-3408	962	8	.	.	PUNCT
ejpam-3408	963	1	[	[	X
ejpam-3408	963	2	61	61	NUM
ejpam-3408	963	3	]	]	X
ejpam-3408	963	4	e.	e.	PROPN
ejpam-3408	963	5	g.	g.	PROPN
ejpam-3408	963	6	goodaire	goodaire	PROPN
ejpam-3408	963	7	.	.	PUNCT
ejpam-3408	964	1	advances	advance	NOUN
ejpam-3408	964	2	in	in	ADP
ejpam-3408	964	3	loop	loop	NOUN
ejpam-3408	964	4	rings	ring	NOUN
ejpam-3408	964	5	and	and	CCONJ
ejpam-3408	964	6	their	their	PRON
ejpam-3408	964	7	loops	loop	NOUN
ejpam-3408	964	8	.	.	PUNCT
ejpam-3408	965	1	quasigroups	quasigroups	PROPN
ejpam-3408	965	2	related	related	ADJ
ejpam-3408	965	3	systems	system	NOUN
ejpam-3408	965	4	,	,	PUNCT
ejpam-3408	965	5	15:1–18	15:1–18	NUM
ejpam-3408	965	6	,	,	PUNCT
ejpam-3408	965	7	2007	2007	NUM
ejpam-3408	965	8	.	.	PUNCT
ejpam-3408	966	1	[	[	X
ejpam-3408	966	2	62	62	NUM
ejpam-3408	966	3	]	]	PUNCT
ejpam-3408	966	4	e.	e.	PROPN
ejpam-3408	966	5	g.	g.	PROPN
ejpam-3408	966	6	goodaire	goodaire	PROPN
ejpam-3408	966	7	.	.	PUNCT
ejpam-3408	967	1	more	more	ADJ
ejpam-3408	967	2	on	on	ADP
ejpam-3408	967	3	the	the	DET
ejpam-3408	967	4	history	history	NOUN
ejpam-3408	967	5	of	of	ADP
ejpam-3408	967	6	loop	loop	NOUN
ejpam-3408	967	7	rings	ring	NOUN
ejpam-3408	967	8	.	.	PUNCT
ejpam-3408	968	1	2007	2007	NUM
ejpam-3408	968	2	.	.	PUNCT
ejpam-3408	969	1	[	[	X
ejpam-3408	969	2	63	63	NUM
ejpam-3408	969	3	]	]	PUNCT
ejpam-3408	969	4	e.	e.	PROPN
ejpam-3408	969	5	g.	g.	PROPN
ejpam-3408	969	6	goodaire	goodaire	PROPN
ejpam-3408	969	7	and	and	CCONJ
ejpam-3408	969	8	c.	c.	PROPN
ejpam-3408	969	9	p.	p.	NOUN
ejpam-3408	969	10	milies	milie	NOUN
ejpam-3408	969	11	.	.	PUNCT
ejpam-3408	970	1	isomorphisms	isomorphism	NOUN
ejpam-3408	970	2	of	of	ADP
ejpam-3408	970	3	integral	integral	ADJ
ejpam-3408	970	4	alternative	alternative	ADJ
ejpam-3408	970	5	loop	loop	NOUN
ejpam-3408	970	6	rings	ring	NOUN
ejpam-3408	970	7	.	.	PUNCT
ejpam-3408	971	1	rend	rend	VERB
ejpam-3408	971	2	.	.	PUNCT
ejpam-3408	972	1	circ	circ	PROPN
ejpam-3408	972	2	.	.	PUNCT
ejpam-3408	973	1	mat	mat	NOUN
ejpam-3408	973	2	.	.	PUNCT
ejpam-3408	973	3	palermo	palermo	NOUN
ejpam-3408	973	4	,	,	PUNCT
ejpam-3408	973	5	37(2):126–135	37(2):126–135	NUM
ejpam-3408	973	6	,	,	PUNCT
ejpam-3408	973	7	1988	1988	NUM
ejpam-3408	973	8	.	.	PUNCT
ejpam-3408	974	1	[	[	X
ejpam-3408	974	2	64	64	NUM
ejpam-3408	974	3	]	]	PUNCT
ejpam-3408	974	4	e.	e.	PROPN
ejpam-3408	974	5	g.	g.	PROPN
ejpam-3408	974	6	goodaire	goodaire	PROPN
ejpam-3408	974	7	and	and	CCONJ
ejpam-3408	974	8	c.	c.	PROPN
ejpam-3408	974	9	p.	p.	NOUN
ejpam-3408	974	10	milies	milie	NOUN
ejpam-3408	974	11	.	.	PUNCT
ejpam-3408	975	1	torsion	torsion	NOUN
ejpam-3408	975	2	units	unit	NOUN
ejpam-3408	975	3	in	in	ADP
ejpam-3408	975	4	alternative	alternative	ADJ
ejpam-3408	975	5	loop	loop	NOUN
ejpam-3408	975	6	rings	ring	NOUN
ejpam-3408	975	7	.	.	PUNCT
ejpam-3408	976	1	proc	proc	PROPN
ejpam-3408	976	2	.	.	PUNCT
ejpam-3408	977	1	amer	amer	PROPN
ejpam-3408	977	2	.	.	PUNCT
ejpam-3408	977	3	math	math	PROPN
ejpam-3408	977	4	.	.	PUNCT
ejpam-3408	978	1	soc	soc	PROPN
ejpam-3408	978	2	.	.	PUNCT
ejpam-3408	978	3	,	,	PUNCT
ejpam-3408	978	4	107:7–15	107:7–15	NUM
ejpam-3408	978	5	,	,	PUNCT
ejpam-3408	978	6	1989	1989	NUM
ejpam-3408	978	7	.	.	PUNCT
ejpam-3408	979	1	[	[	X
ejpam-3408	979	2	65	65	NUM
ejpam-3408	979	3	]	]	X
ejpam-3408	979	4	e.	e.	PROPN
ejpam-3408	979	5	g.	g.	PROPN
ejpam-3408	979	6	goodaire	goodaire	PROPN
ejpam-3408	979	7	and	and	CCONJ
ejpam-3408	979	8	c.	c.	PROPN
ejpam-3408	979	9	p.	p.	NOUN
ejpam-3408	979	10	milies	milie	NOUN
ejpam-3408	979	11	.	.	PUNCT
ejpam-3408	980	1	ring	re	VERB
ejpam-3408	980	2	alternative	alternative	ADJ
ejpam-3408	980	3	loops	loop	NOUN
ejpam-3408	980	4	and	and	CCONJ
ejpam-3408	980	5	their	their	PRON
ejpam-3408	980	6	loop	loop	NOUN
ejpam-3408	980	7	rings	ring	NOUN
ejpam-3408	980	8	.	.	PUNCT
ejpam-3408	981	1	resenhas	resenhas	AUX
ejpam-3408	981	2	do	do	VERB
ejpam-3408	981	3	instituto	instituto	PROPN
ejpam-3408	981	4	de	de	PROPN
ejpam-3408	981	5	matemtica	matemtica	PROPN
ejpam-3408	981	6	e	e	PROPN
ejpam-3408	981	7	estatstica	estatstica	PROPN
ejpam-3408	981	8	da	da	PROPN
ejpam-3408	981	9	universidade	universidade	PROPN
ejpam-3408	981	10	de	de	PROPN
ejpam-3408	981	11	so	so	PROPN
ejpam-3408	981	12	paulo	paulo	PROPN
ejpam-3408	981	13	,	,	PUNCT
ejpam-3408	981	14	2:47–82	2:47–82	NOUN
ejpam-3408	981	15	,	,	PUNCT
ejpam-3408	981	16	1995	1995	NUM
ejpam-3408	981	17	.	.	PUNCT
ejpam-3408	982	1	[	[	X
ejpam-3408	982	2	66	66	NUM
ejpam-3408	982	3	]	]	PUNCT
ejpam-3408	982	4	e.	e.	PROPN
ejpam-3408	982	5	g.	g.	PROPN
ejpam-3408	982	6	goodaire	goodaire	PROPN
ejpam-3408	982	7	and	and	CCONJ
ejpam-3408	982	8	c.	c.	PROPN
ejpam-3408	982	9	p.	p.	NOUN
ejpam-3408	982	10	milies	milie	NOUN
ejpam-3408	982	11	.	.	PUNCT
ejpam-3408	983	1	finite	finite	PROPN
ejpam-3408	983	2	subloops	subloop	NOUN
ejpam-3408	983	3	of	of	ADP
ejpam-3408	983	4	units	unit	NOUN
ejpam-3408	983	5	in	in	ADP
ejpam-3408	983	6	an	an	DET
ejpam-3408	983	7	alternative	alternative	ADJ
ejpam-3408	983	8	loop	loop	NOUN
ejpam-3408	983	9	ring	ring	NOUN
ejpam-3408	983	10	.	.	PUNCT
ejpam-3408	984	1	proc	proc	PROPN
ejpam-3408	984	2	.	.	PUNCT
ejpam-3408	985	1	amer	amer	PROPN
ejpam-3408	985	2	.	.	PUNCT
ejpam-3408	985	3	math	math	PROPN
ejpam-3408	985	4	.	.	PUNCT
ejpam-3408	986	1	soc	soc	PROPN
ejpam-3408	986	2	.	.	PUNCT
ejpam-3408	986	3	,	,	PUNCT
ejpam-3408	986	4	124:995–1002	124:995–1002	NUM
ejpam-3408	986	5	,	,	PUNCT
ejpam-3408	986	6	1996	1996	NUM
ejpam-3408	986	7	.	.	PUNCT
ejpam-3408	987	1	[	[	X
ejpam-3408	987	2	67	67	NUM
ejpam-3408	987	3	]	]	X
ejpam-3408	987	4	e.	e.	PROPN
ejpam-3408	987	5	g.	g.	PROPN
ejpam-3408	987	6	goodaire	goodaire	PROPN
ejpam-3408	987	7	and	and	CCONJ
ejpam-3408	987	8	c.	c.	PROPN
ejpam-3408	987	9	p.	p.	NOUN
ejpam-3408	987	10	milies	milie	NOUN
ejpam-3408	987	11	.	.	PUNCT
ejpam-3408	988	1	alternative	alternative	PROPN
ejpam-3408	988	2	loop	loop	PROPN
ejpam-3408	988	3	rings	ring	NOUN
ejpam-3408	988	4	with	with	ADP
ejpam-3408	988	5	solvable	solvable	ADJ
ejpam-3408	988	6	unit	unit	NOUN
ejpam-3408	988	7	loops	loop	NOUN
ejpam-3408	988	8	.	.	PUNCT
ejpam-3408	989	1	j.	j.	PROPN
ejpam-3408	989	2	algebra	algebra	PROPN
ejpam-3408	989	3	,	,	PUNCT
ejpam-3408	989	4	240:25–39	240:25–39	NUM
ejpam-3408	989	5	,	,	PUNCT
ejpam-3408	989	6	2001	2001	NUM
ejpam-3408	989	7	.	.	PUNCT
ejpam-3408	990	1	[	[	X
ejpam-3408	990	2	68	68	NUM
ejpam-3408	990	3	]	]	X
ejpam-3408	990	4	e.	e.	PROPN
ejpam-3408	990	5	g.	g.	PROPN
ejpam-3408	990	6	goodaire	goodaire	PROPN
ejpam-3408	990	7	and	and	CCONJ
ejpam-3408	990	8	c.	c.	PROPN
ejpam-3408	990	9	p.	p.	NOUN
ejpam-3408	990	10	milies	milie	NOUN
ejpam-3408	990	11	.	.	PUNCT
ejpam-3408	991	1	normal	normal	ADJ
ejpam-3408	991	2	subloops	subloop	NOUN
ejpam-3408	991	3	in	in	ADP
ejpam-3408	991	4	the	the	DET
ejpam-3408	991	5	integral	integral	ADJ
ejpam-3408	991	6	loop	loop	NOUN
ejpam-3408	991	7	ring	ring	NOUN
ejpam-3408	991	8	of	of	ADP
ejpam-3408	991	9	an	an	DET
ejpam-3408	991	10	ra	ra	PROPN
ejpam-3408	991	11	loop	loop	NOUN
ejpam-3408	991	12	.	.	PUNCT
ejpam-3408	992	1	canad	canad	PROPN
ejpam-3408	992	2	.	.	PUNCT
ejpam-3408	993	1	math	math	NOUN
ejpam-3408	993	2	.	.	PUNCT
ejpam-3408	994	1	bull	bull	PROPN
ejpam-3408	994	2	.	.	PUNCT
ejpam-3408	994	3	,	,	PUNCT
ejpam-3408	994	4	44:27–35	44:27–35	PROPN
ejpam-3408	994	5	,	,	PUNCT
ejpam-3408	994	6	2001	2001	NUM
ejpam-3408	994	7	.	.	PUNCT
ejpam-3408	995	1	[	[	X
ejpam-3408	995	2	69	69	NUM
ejpam-3408	995	3	]	]	PUNCT
ejpam-3408	995	4	e.	e.	PROPN
ejpam-3408	995	5	g.	g.	PROPN
ejpam-3408	995	6	goodaire	goodaire	PROPN
ejpam-3408	995	7	and	and	CCONJ
ejpam-3408	995	8	c.	c.	PROPN
ejpam-3408	995	9	p.	p.	NOUN
ejpam-3408	995	10	milies	milie	NOUN
ejpam-3408	995	11	.	.	PUNCT
ejpam-3408	996	1	normality	normality	NOUN
ejpam-3408	996	2	of	of	ADP
ejpam-3408	996	3	f	f	NOUN
ejpam-3408	996	4	-	-	PUNCT
ejpam-3408	996	5	unitary	unitary	ADJ
ejpam-3408	996	6	units	unit	NOUN
ejpam-3408	996	7	in	in	ADP
ejpam-3408	996	8	an	an	DET
ejpam-3408	996	9	alternative	alternative	ADJ
ejpam-3408	996	10	loop	loop	NOUN
ejpam-3408	996	11	rings	ring	NOUN
ejpam-3408	996	12	.	.	PUNCT
ejpam-3408	997	1	j.	j.	PROPN
ejpam-3408	997	2	algebra	algebra	PROPN
ejpam-3408	997	3	appl	appl	PROPN
ejpam-3408	997	4	.	.	PROPN
ejpam-3408	997	5	,	,	PUNCT
ejpam-3408	997	6	5:537–548	5:537–548	NUM
ejpam-3408	997	7	,	,	PUNCT
ejpam-3408	997	8	2006	2006	NUM
ejpam-3408	997	9	.	.	PUNCT
ejpam-3408	998	1	[	[	X
ejpam-3408	998	2	70	70	NUM
ejpam-3408	998	3	]	]	X
ejpam-3408	998	4	e.	e.	PROPN
ejpam-3408	998	5	g.	g.	PROPN
ejpam-3408	998	6	goodaire	goodaire	PROPN
ejpam-3408	998	7	and	and	CCONJ
ejpam-3408	998	8	m.	m.	NOUN
ejpam-3408	998	9	m.	m.	NOUN
ejpam-3408	998	10	parmenter	parmenter	NOUN
ejpam-3408	998	11	.	.	PUNCT
ejpam-3408	999	1	units	unit	NOUN
ejpam-3408	999	2	in	in	ADP
ejpam-3408	999	3	alternative	alternative	ADJ
ejpam-3408	999	4	loop	loop	NOUN
ejpam-3408	999	5	rings	ring	NOUN
ejpam-3408	999	6	.	.	PUNCT
ejpam-3408	1000	1	israel	israel	PROPN
ejpam-3408	1000	2	j.	j.	PROPN
ejpam-3408	1000	3	math	math	PROPN
ejpam-3408	1000	4	.	.	PUNCT
ejpam-3408	1000	5	,	,	PUNCT
ejpam-3408	1000	6	53:209–216	53:209–216	NUM
ejpam-3408	1000	7	,	,	PUNCT
ejpam-3408	1000	8	1986	1986	NUM
ejpam-3408	1000	9	.	.	PUNCT
ejpam-3408	1001	1	[	[	X
ejpam-3408	1001	2	71	71	NUM
ejpam-3408	1001	3	]	]	PUNCT
ejpam-3408	1001	4	e.	e.	PROPN
ejpam-3408	1001	5	g.	g.	PROPN
ejpam-3408	1001	6	goodaire	goodaire	PROPN
ejpam-3408	1001	7	and	and	CCONJ
ejpam-3408	1001	8	m.	m.	NOUN
ejpam-3408	1001	9	m.	m.	NOUN
ejpam-3408	1001	10	parmenter	parmenter	NOUN
ejpam-3408	1001	11	.	.	PUNCT
ejpam-3408	1002	1	semi	semi	ADJ
ejpam-3408	1002	2	-	-	NOUN
ejpam-3408	1002	3	simplicity	simplicity	NOUN
ejpam-3408	1002	4	of	of	ADP
ejpam-3408	1002	5	alternative	alternative	ADJ
ejpam-3408	1002	6	loop	loop	NOUN
ejpam-3408	1002	7	rings	ring	NOUN
ejpam-3408	1002	8	.	.	PUNCT
ejpam-3408	1003	1	acta	acta	PROPN
ejpam-3408	1003	2	math	math	PROPN
ejpam-3408	1003	3	.	.	PUNCT
ejpam-3408	1004	1	hungar	hungar	PROPN
ejpam-3408	1004	2	.	.	PUNCT
ejpam-3408	1004	3	,	,	PUNCT
ejpam-3408	1004	4	50:241–247	50:241–247	PROPN
ejpam-3408	1004	5	,	,	PUNCT
ejpam-3408	1004	6	1987	1987	NUM
ejpam-3408	1004	7	.	.	PUNCT
ejpam-3408	1005	1	[	[	X
ejpam-3408	1005	2	72	72	NUM
ejpam-3408	1005	3	]	]	X
ejpam-3408	1005	4	e.	e.	PROPN
ejpam-3408	1005	5	g.	g.	PROPN
ejpam-3408	1005	6	goodaire	goodaire	PROPN
ejpam-3408	1005	7	and	and	CCONJ
ejpam-3408	1005	8	d.	d.	PROPN
ejpam-3408	1005	9	a.	a.	PROPN
ejpam-3408	1005	10	robinson	robinson	PROPN
ejpam-3408	1005	11	.	.	PUNCT
ejpam-3408	1006	1	a	a	DET
ejpam-3408	1006	2	class	class	NOUN
ejpam-3408	1006	3	of	of	ADP
ejpam-3408	1006	4	loops	loop	NOUN
ejpam-3408	1006	5	with	with	ADP
ejpam-3408	1006	6	right	right	ADJ
ejpam-3408	1006	7	alternative	alternative	PROPN
ejpam-3408	1006	8	loop	loop	NOUN
ejpam-3408	1006	9	rings	ring	NOUN
ejpam-3408	1006	10	.	.	PUNCT
ejpam-3408	1007	1	comm	comm	NOUN
ejpam-3408	1007	2	.	.	PUNCT
ejpam-3408	1008	1	algebra	algebra	PROPN
ejpam-3408	1008	2	,	,	PUNCT
ejpam-3408	1008	3	22:5623–5634	22:5623–5634	NUM
ejpam-3408	1008	4	,	,	PUNCT
ejpam-3408	1008	5	1994	1994	NUM
ejpam-3408	1008	6	.	.	PUNCT
ejpam-3408	1009	1	[	[	X
ejpam-3408	1009	2	73	73	NUM
ejpam-3408	1009	3	]	]	PUNCT
ejpam-3408	1009	4	e.	e.	PROPN
ejpam-3408	1009	5	g.	g.	PROPN
ejpam-3408	1009	6	goodaire	goodaire	PROPN
ejpam-3408	1009	7	and	and	CCONJ
ejpam-3408	1009	8	d.	d.	PROPN
ejpam-3408	1009	9	a.	a.	PROPN
ejpam-3408	1009	10	robinson	robinson	PROPN
ejpam-3408	1009	11	.	.	PUNCT
ejpam-3408	1010	1	a	a	DET
ejpam-3408	1010	2	construction	construction	NOUN
ejpam-3408	1010	3	of	of	ADP
ejpam-3408	1010	4	loops	loop	NOUN
ejpam-3408	1010	5	which	which	PRON
ejpam-3408	1010	6	admit	admit	VERB
ejpam-3408	1010	7	right	right	ADJ
ejpam-3408	1010	8	alternative	alternative	ADJ
ejpam-3408	1010	9	loop	loop	NOUN
ejpam-3408	1010	10	rings	ring	NOUN
ejpam-3408	1010	11	.	.	PUNCT
ejpam-3408	1011	1	results	result	VERB
ejpam-3408	1011	2	math	math	PROPN
ejpam-3408	1011	3	.	.	PUNCT
ejpam-3408	1011	4	,	,	PUNCT
ejpam-3408	1011	5	29:56–62	29:56–62	NUM
ejpam-3408	1011	6	,	,	PUNCT
ejpam-3408	1011	7	1996	1996	NUM
ejpam-3408	1011	8	.	.	PUNCT
ejpam-3408	1012	1	[	[	X
ejpam-3408	1012	2	74	74	NUM
ejpam-3408	1012	3	]	]	PUNCT
ejpam-3408	1012	4	f.	f.	PROPN
ejpam-3408	1012	5	grsey	grsey	PROPN
ejpam-3408	1012	6	and	and	CCONJ
ejpam-3408	1012	7	c.	c.	PROPN
ejpam-3408	1012	8	h.	h.	PROPN
ejpam-3408	1012	9	tze	tze	PROPN
ejpam-3408	1013	1	.	.	PROPN
ejpam-3408	1014	1	on	on	ADP
ejpam-3408	1014	2	the	the	DET
ejpam-3408	1014	3	role	role	NOUN
ejpam-3408	1014	4	of	of	ADP
ejpam-3408	1014	5	division	division	NOUN
ejpam-3408	1014	6	,	,	PUNCT
ejpam-3408	1014	7	jordan	jordan	PROPN
ejpam-3408	1014	8	and	and	CCONJ
ejpam-3408	1014	9	related	related	ADJ
ejpam-3408	1014	10	algebras	algebra	NOUN
ejpam-3408	1014	11	in	in	ADP
ejpam-3408	1014	12	particle	particle	NOUN
ejpam-3408	1014	13	physics	physics	PROPN
ejpam-3408	1014	14	.	.	PUNCT
ejpam-3408	1015	1	world	world	PROPN
ejpam-3408	1015	2	scientific	scientific	PROPN
ejpam-3408	1015	3	,	,	PUNCT
ejpam-3408	1015	4	singapore	singapore	PROPN
ejpam-3408	1015	5	,	,	PUNCT
ejpam-3408	1015	6	1996	1996	NUM
ejpam-3408	1015	7	.	.	PUNCT
ejpam-3408	1016	1	references	reference	NOUN
ejpam-3408	1016	2	397	397	NUM
ejpam-3408	1016	3	[	[	X
ejpam-3408	1016	4	75	75	NUM
ejpam-3408	1016	5	]	]	PUNCT
ejpam-3408	1016	6	m.	m.	NOUN
ejpam-3408	1016	7	hall	hall	PROPN
ejpam-3408	1016	8	.	.	PUNCT
ejpam-3408	1017	1	a	a	DET
ejpam-3408	1017	2	basis	basis	NOUN
ejpam-3408	1017	3	for	for	ADP
ejpam-3408	1017	4	free	free	ADJ
ejpam-3408	1017	5	lie	lie	NOUN
ejpam-3408	1017	6	rings	ring	NOUN
ejpam-3408	1017	7	and	and	CCONJ
ejpam-3408	1017	8	higher	high	ADJ
ejpam-3408	1017	9	commutators	commutator	NOUN
ejpam-3408	1017	10	in	in	ADP
ejpam-3408	1017	11	free	free	ADJ
ejpam-3408	1017	12	groups	group	NOUN
ejpam-3408	1017	13	.	.	PUNCT
ejpam-3408	1018	1	proc	proc	PROPN
ejpam-3408	1018	2	.	.	PUNCT
ejpam-3408	1019	1	amer	amer	PROPN
ejpam-3408	1019	2	.	.	PUNCT
ejpam-3408	1019	3	math	math	PROPN
ejpam-3408	1019	4	.	.	PUNCT
ejpam-3408	1020	1	soc	soc	PROPN
ejpam-3408	1020	2	.	.	PUNCT
ejpam-3408	1020	3	,	,	PUNCT
ejpam-3408	1020	4	1:575–581	1:575–581	NUM
ejpam-3408	1020	5	,	,	PUNCT
ejpam-3408	1020	6	1950	1950	NUM
ejpam-3408	1020	7	.	.	PUNCT
ejpam-3408	1021	1	[	[	X
ejpam-3408	1021	2	76	76	NUM
ejpam-3408	1021	3	]	]	X
ejpam-3408	1021	4	m.	m.	NOUN
ejpam-3408	1021	5	hall	hall	PROPN
ejpam-3408	1021	6	and	and	CCONJ
ejpam-3408	1021	7	jr	jr	PROPN
ejpam-3408	1021	8	.	.	PUNCT
ejpam-3408	1022	1	an	an	DET
ejpam-3408	1022	2	identity	identity	NOUN
ejpam-3408	1022	3	in	in	ADP
ejpam-3408	1022	4	jordan	jordan	PROPN
ejpam-3408	1022	5	rings	rings	PROPN
ejpam-3408	1022	6	.	.	PUNCT
ejpam-3408	1023	1	proc	proc	PROPN
ejpam-3408	1023	2	.	.	PUNCT
ejpam-3408	1024	1	amer	amer	PROPN
ejpam-3408	1024	2	.	.	PUNCT
ejpam-3408	1024	3	math	math	PROPN
ejpam-3408	1024	4	.	.	PUNCT
ejpam-3408	1025	1	soc	soc	PROPN
ejpam-3408	1025	2	.	.	PUNCT
ejpam-3408	1025	3	,	,	PUNCT
ejpam-3408	1025	4	7:990–998	7:990–998	NUM
ejpam-3408	1025	5	,	,	PUNCT
ejpam-3408	1025	6	1956	1956	NUM
ejpam-3408	1025	7	.	.	PUNCT
ejpam-3408	1026	1	[	[	X
ejpam-3408	1026	2	77	77	NUM
ejpam-3408	1026	3	]	]	PUNCT
ejpam-3408	1026	4	m.	m.	NOUN
ejpam-3408	1026	5	hall	hall	PROPN
ejpam-3408	1026	6	and	and	CCONJ
ejpam-3408	1026	7	jr	jr	PROPN
ejpam-3408	1026	8	.	.	PUNCT
ejpam-3408	1027	1	the	the	DET
ejpam-3408	1027	2	theory	theory	NOUN
ejpam-3408	1027	3	of	of	ADP
ejpam-3408	1027	4	groups	group	NOUN
ejpam-3408	1027	5	.	.	PUNCT
ejpam-3408	1028	1	macmillan	macmillan	PROPN
ejpam-3408	1028	2	,	,	PUNCT
ejpam-3408	1028	3	new	new	PROPN
ejpam-3408	1028	4	york	york	PROPN
ejpam-3408	1028	5	,	,	PUNCT
ejpam-3408	1028	6	1959	1959	NUM
ejpam-3408	1028	7	.	.	PUNCT
ejpam-3408	1029	1	[	[	X
ejpam-3408	1029	2	78	78	NUM
ejpam-3408	1029	3	]	]	X
ejpam-3408	1029	4	harish	harish	PROPN
ejpam-3408	1029	5	-	-	PUNCT
ejpam-3408	1029	6	chandra	chandra	PROPN
ejpam-3408	1029	7	.	.	PUNCT
ejpam-3408	1030	1	faithful	faithful	ADJ
ejpam-3408	1030	2	representations	representation	NOUN
ejpam-3408	1030	3	of	of	ADP
ejpam-3408	1030	4	lie	lie	NOUN
ejpam-3408	1030	5	algebras	algebra	NOUN
ejpam-3408	1030	6	.	.	PUNCT
ejpam-3408	1031	1	ann	ann	PROPN
ejpam-3408	1031	2	.	.	PROPN
ejpam-3408	1031	3	of	of	ADP
ejpam-3408	1031	4	math	math	NOUN
ejpam-3408	1031	5	.	.	PUNCT
ejpam-3408	1031	6	,	,	PUNCT
ejpam-3408	1031	7	50:68–76	50:68–76	NUM
ejpam-3408	1031	8	,	,	PUNCT
ejpam-3408	1031	9	1949	1949	NUM
ejpam-3408	1031	10	.	.	PUNCT
ejpam-3408	1032	1	[	[	X
ejpam-3408	1032	2	79	79	NUM
ejpam-3408	1032	3	]	]	X
ejpam-3408	1032	4	b.	b.	PROPN
ejpam-3408	1032	5	hartley	hartley	PROPN
ejpam-3408	1032	6	and	and	CCONJ
ejpam-3408	1032	7	t.	t.	PROPN
ejpam-3408	1032	8	meixner	meixner	NOUN
ejpam-3408	1032	9	.	.	PUNCT
ejpam-3408	1033	1	finite	finite	VERB
ejpam-3408	1033	2	soluble	soluble	ADJ
ejpam-3408	1033	3	groups	group	NOUN
ejpam-3408	1033	4	containing	contain	VERB
ejpam-3408	1033	5	an	an	DET
ejpam-3408	1033	6	element	element	NOUN
ejpam-3408	1033	7	of	of	ADP
ejpam-3408	1033	8	prime	prime	ADJ
ejpam-3408	1033	9	order	order	NOUN
ejpam-3408	1033	10	whose	whose	DET
ejpam-3408	1033	11	centralizer	centralizer	NOUN
ejpam-3408	1033	12	is	be	AUX
ejpam-3408	1033	13	small	small	ADJ
ejpam-3408	1033	14	.	.	PUNCT
ejpam-3408	1034	1	arch	arch	PROPN
ejpam-3408	1034	2	.	.	PUNCT
ejpam-3408	1035	1	math	math	NOUN
ejpam-3408	1035	2	.	.	PUNCT
ejpam-3408	1036	1	(	(	PUNCT
ejpam-3408	1036	2	basel	basel	PROPN
ejpam-3408	1036	3	)	)	PUNCT
ejpam-3408	1036	4	,	,	PUNCT
ejpam-3408	1036	5	36:211–213	36:211–213	PROPN
ejpam-3408	1036	6	,	,	PUNCT
ejpam-3408	1036	7	1981	1981	NUM
ejpam-3408	1036	8	.	.	PUNCT
ejpam-3408	1037	1	[	[	X
ejpam-3408	1037	2	80	80	NUM
ejpam-3408	1037	3	]	]	PUNCT
ejpam-3408	1037	4	h.	h.	NOUN
ejpam-3408	1037	5	hashimoto	hashimoto	NOUN
ejpam-3408	1037	6	.	.	PUNCT
ejpam-3408	1038	1	on	on	ADP
ejpam-3408	1038	2	-modular	-modular	ADJ
ejpam-3408	1038	3	right	right	ADJ
ejpam-3408	1038	4	ideals	ideal	NOUN
ejpam-3408	1038	5	on	on	ADP
ejpam-3408	1038	6	an	an	DET
ejpam-3408	1038	7	alternative	alternative	ADJ
ejpam-3408	1038	8	ring	ring	NOUN
ejpam-3408	1038	9	.	.	PUNCT
ejpam-3408	1039	1	journal	journal	NOUN
ejpam-3408	1039	2	of	of	ADP
ejpam-3408	1039	3	the	the	DET
ejpam-3408	1039	4	faculty	faculty	NOUN
ejpam-3408	1039	5	of	of	ADP
ejpam-3408	1039	6	science	science	NOUN
ejpam-3408	1039	7	,	,	PUNCT
ejpam-3408	1039	8	hokkaido	hokkaido	PROPN
ejpam-3408	1039	9	university	university	PROPN
ejpam-3408	1039	10	,	,	PUNCT
ejpam-3408	1039	11	15(ser	15(ser	NOUN
ejpam-3408	1039	12	.	.	PUNCT
ejpam-3408	1040	1	1	1	NUM
ejpam-3408	1040	2	,	,	PUNCT
ejpam-3408	1040	3	mathematics):131–133	mathematics):131–133	PROPN
ejpam-3408	1040	4	,	,	PUNCT
ejpam-3408	1040	5	1960	1960	NUM
ejpam-3408	1040	6	.	.	PUNCT
ejpam-3408	1041	1	[	[	X
ejpam-3408	1041	2	81	81	NUM
ejpam-3408	1041	3	]	]	PUNCT
ejpam-3408	1041	4	f.	f.	PROPN
ejpam-3408	1041	5	hausdorff	hausdorff	PROPN
ejpam-3408	1041	6	.	.	PUNCT
ejpam-3408	1042	1	die	die	VERB
ejpam-3408	1042	2	symbolische	symbolische	PROPN
ejpam-3408	1042	3	exponentialformel	exponentialformel	NOUN
ejpam-3408	1042	4	in	in	ADP
ejpam-3408	1042	5	der	der	ADJ
ejpam-3408	1042	6	gruppentheorie	gruppentheorie	NOUN
ejpam-3408	1042	7	.	.	PUNCT
ejpam-3408	1043	1	ber	ber	PROPN
ejpam-3408	1043	2	verh	verh	ADJ
ejpam-3408	1043	3	saechs	saechs	PROPN
ejpam-3408	1043	4	akad	akad	PROPN
ejpam-3408	1043	5	wiss	wiss	PROPN
ejpam-3408	1043	6	leipzig	leipzig	PROPN
ejpam-3408	1043	7	,	,	PUNCT
ejpam-3408	1043	8	58:19–48	58:19–48	PROPN
ejpam-3408	1043	9	,	,	PUNCT
ejpam-3408	1043	10	1906	1906	NUM
ejpam-3408	1043	11	.	.	PUNCT
ejpam-3408	1044	1	[	[	X
ejpam-3408	1044	2	82	82	NUM
ejpam-3408	1044	3	]	]	X
ejpam-3408	1044	4	i.	i.	PROPN
ejpam-3408	1044	5	r.	r.	PROPN
ejpam-3408	1044	6	hentzel	hentzel	PROPN
ejpam-3408	1044	7	.	.	PUNCT
ejpam-3408	1045	1	right	right	ADJ
ejpam-3408	1045	2	alternative	alternative	ADJ
ejpam-3408	1045	3	rings	ring	NOUN
ejpam-3408	1045	4	with	with	ADP
ejpam-3408	1045	5	idempotents	idempotent	NOUN
ejpam-3408	1045	6	.	.	PUNCT
ejpam-3408	1046	1	j.	j.	PROPN
ejpam-3408	1046	2	algebra	algebra	PROPN
ejpam-3408	1046	3	,	,	PUNCT
ejpam-3408	1046	4	17:303–309	17:303–309	PROPN
ejpam-3408	1046	5	,	,	PUNCT
ejpam-3408	1046	6	1971	1971	NUM
ejpam-3408	1046	7	.	.	PUNCT
ejpam-3408	1047	1	[	[	X
ejpam-3408	1047	2	83	83	NUM
ejpam-3408	1047	3	]	]	PUNCT
ejpam-3408	1047	4	i.	i.	PROPN
ejpam-3408	1047	5	r.	r.	PROPN
ejpam-3408	1047	6	hentzel	hentzel	PROPN
ejpam-3408	1047	7	.	.	PUNCT
ejpam-3408	1048	1	generalized	generalize	VERB
ejpam-3408	1048	2	right	right	ADJ
ejpam-3408	1048	3	alternative	alternative	ADJ
ejpam-3408	1048	4	rings	ring	NOUN
ejpam-3408	1048	5	.	.	PUNCT
ejpam-3408	1049	1	pacific	pacific	PROPN
ejpam-3408	1049	2	j.	j.	PROPN
ejpam-3408	1049	3	math	math	PROPN
ejpam-3408	1049	4	.	.	PUNCT
ejpam-3408	1049	5	,	,	PUNCT
ejpam-3408	1049	6	60:95–102	60:95–102	NUM
ejpam-3408	1049	7	,	,	PUNCT
ejpam-3408	1049	8	1975	1975	NUM
ejpam-3408	1049	9	.	.	PUNCT
ejpam-3408	1050	1	[	[	X
ejpam-3408	1050	2	84	84	NUM
ejpam-3408	1050	3	]	]	PUNCT
ejpam-3408	1050	4	i.	i.	PROPN
ejpam-3408	1050	5	r.	r.	PROPN
ejpam-3408	1050	6	hentzel	hentzel	PROPN
ejpam-3408	1050	7	and	and	CCONJ
ejpam-3408	1050	8	l.	l.	PROPN
ejpam-3408	1050	9	a.	a.	NOUN
ejpam-3408	1050	10	peresi	peresi	PROPN
ejpam-3408	1050	11	.	.	PUNCT
ejpam-3408	1051	1	almost	almost	ADV
ejpam-3408	1051	2	jordan	jordan	PROPN
ejpam-3408	1051	3	rings	rings	PROPN
ejpam-3408	1051	4	.	.	PUNCT
ejpam-3408	1052	1	proc	proc	PROPN
ejpam-3408	1052	2	.	.	PUNCT
ejpam-3408	1053	1	amer	amer	PROPN
ejpam-3408	1053	2	.	.	PUNCT
ejpam-3408	1053	3	math	math	PROPN
ejpam-3408	1053	4	.	.	PUNCT
ejpam-3408	1054	1	soc	soc	PROPN
ejpam-3408	1054	2	.	.	PUNCT
ejpam-3408	1054	3	,	,	PUNCT
ejpam-3408	1054	4	104:343–348	104:343–348	NUM
ejpam-3408	1054	5	,	,	PUNCT
ejpam-3408	1054	6	1988	1988	NUM
ejpam-3408	1054	7	.	.	PUNCT
ejpam-3408	1055	1	[	[	X
ejpam-3408	1055	2	85	85	NUM
ejpam-3408	1055	3	]	]	PUNCT
ejpam-3408	1055	4	i.	i.	PROPN
ejpam-3408	1055	5	n.	n.	PROPN
ejpam-3408	1055	6	herstein	herstein	PROPN
ejpam-3408	1055	7	.	.	PUNCT
ejpam-3408	1056	1	on	on	ADP
ejpam-3408	1056	2	the	the	DET
ejpam-3408	1056	3	lie	lie	NOUN
ejpam-3408	1056	4	and	and	CCONJ
ejpam-3408	1056	5	jordan	jordan	PROPN
ejpam-3408	1056	6	rings	ring	NOUN
ejpam-3408	1056	7	of	of	ADP
ejpam-3408	1056	8	a	a	DET
ejpam-3408	1056	9	simple	simple	ADJ
ejpam-3408	1056	10	associative	associative	ADJ
ejpam-3408	1056	11	ring	ring	NOUN
ejpam-3408	1056	12	.	.	PUNCT
ejpam-3408	1057	1	amer	amer	PROPN
ejpam-3408	1057	2	.	.	PUNCT
ejpam-3408	1058	1	j.	j.	PROPN
ejpam-3408	1058	2	math	math	PROPN
ejpam-3408	1058	3	.	.	PUNCT
ejpam-3408	1058	4	,	,	PUNCT
ejpam-3408	1058	5	77:279–285	77:279–285	NUM
ejpam-3408	1058	6	,	,	PUNCT
ejpam-3408	1058	7	1955	1955	NUM
ejpam-3408	1058	8	.	.	PUNCT
ejpam-3408	1059	1	[	[	X
ejpam-3408	1059	2	86	86	NUM
ejpam-3408	1059	3	]	]	PUNCT
ejpam-3408	1059	4	i.	i.	PROPN
ejpam-3408	1059	5	n.	n.	PROPN
ejpam-3408	1059	6	herstein	herstein	PROPN
ejpam-3408	1059	7	.	.	PUNCT
ejpam-3408	1060	1	the	the	DET
ejpam-3408	1060	2	lie	lie	NOUN
ejpam-3408	1060	3	ring	ring	NOUN
ejpam-3408	1060	4	of	of	ADP
ejpam-3408	1060	5	a	a	DET
ejpam-3408	1060	6	simple	simple	ADJ
ejpam-3408	1060	7	associative	associative	ADJ
ejpam-3408	1060	8	ring	ring	NOUN
ejpam-3408	1060	9	.	.	PUNCT
ejpam-3408	1061	1	duke	duke	PROPN
ejpam-3408	1061	2	math	math	PROPN
ejpam-3408	1061	3	.	.	PUNCT
ejpam-3408	1062	1	j.	j.	PROPN
ejpam-3408	1062	2	,	,	PUNCT
ejpam-3408	1062	3	22:471–476	22:471–476	PROPN
ejpam-3408	1062	4	,	,	PUNCT
ejpam-3408	1062	5	1955	1955	NUM
ejpam-3408	1062	6	.	.	PUNCT
ejpam-3408	1063	1	[	[	X
ejpam-3408	1063	2	87	87	NUM
ejpam-3408	1063	3	]	]	PUNCT
ejpam-3408	1063	4	i.	i.	PROPN
ejpam-3408	1063	5	n.	n.	PROPN
ejpam-3408	1063	6	herstein	herstein	PROPN
ejpam-3408	1063	7	.	.	PUNCT
ejpam-3408	1064	1	lie	lie	NOUN
ejpam-3408	1064	2	and	and	CCONJ
ejpam-3408	1064	3	jordan	jordan	PROPN
ejpam-3408	1064	4	systems	system	NOUN
ejpam-3408	1064	5	in	in	ADP
ejpam-3408	1064	6	simple	simple	ADJ
ejpam-3408	1064	7	rings	ring	NOUN
ejpam-3408	1064	8	with	with	ADP
ejpam-3408	1064	9	involution	involution	NOUN
ejpam-3408	1064	10	.	.	PUNCT
ejpam-3408	1065	1	amer	amer	PROPN
ejpam-3408	1065	2	.	.	PUNCT
ejpam-3408	1066	1	j.	j.	PROPN
ejpam-3408	1066	2	math	math	PROPN
ejpam-3408	1066	3	.	.	PROPN
ejpam-3408	1066	4	,	,	PUNCT
ejpam-3408	1067	1	78:629–649	78:629–649	NUM
ejpam-3408	1067	2	,	,	PUNCT
ejpam-3408	1067	3	1956	1956	NUM
ejpam-3408	1067	4	.	.	PUNCT
ejpam-3408	1068	1	[	[	X
ejpam-3408	1068	2	88	88	NUM
ejpam-3408	1068	3	]	]	PUNCT
ejpam-3408	1068	4	i.	i.	PROPN
ejpam-3408	1068	5	n.	n.	PROPN
ejpam-3408	1068	6	herstein	herstein	PROPN
ejpam-3408	1068	7	.	.	PUNCT
ejpam-3408	1069	1	jordan	jordan	PROPN
ejpam-3408	1069	2	derivatives	derivative	NOUN
ejpam-3408	1069	3	of	of	ADP
ejpam-3408	1069	4	prime	prime	ADJ
ejpam-3408	1069	5	rings	ring	NOUN
ejpam-3408	1069	6	.	.	PUNCT
ejpam-3408	1070	1	proc	proc	PROPN
ejpam-3408	1070	2	.	.	PUNCT
ejpam-3408	1071	1	amer	amer	PROPN
ejpam-3408	1071	2	.	.	PUNCT
ejpam-3408	1071	3	math	math	PROPN
ejpam-3408	1071	4	.	.	PUNCT
ejpam-3408	1072	1	soc	soc	PROPN
ejpam-3408	1072	2	.	.	PUNCT
ejpam-3408	1072	3	,	,	PUNCT
ejpam-3408	1072	4	8:1104	8:1104	NUM
ejpam-3408	1072	5	–	–	PUNCT
ejpam-3408	1072	6	1110	1110	NUM
ejpam-3408	1072	7	,	,	PUNCT
ejpam-3408	1072	8	1957	1957	NUM
ejpam-3408	1072	9	.	.	PUNCT
ejpam-3408	1073	1	[	[	X
ejpam-3408	1073	2	89	89	NUM
ejpam-3408	1073	3	]	]	PUNCT
ejpam-3408	1073	4	i.	i.	PROPN
ejpam-3408	1073	5	n.	n.	PROPN
ejpam-3408	1073	6	herstein	herstein	PROPN
ejpam-3408	1073	7	.	.	PUNCT
ejpam-3408	1074	1	lie	lie	NOUN
ejpam-3408	1074	2	and	and	CCONJ
ejpam-3408	1074	3	jordan	jordan	PROPN
ejpam-3408	1074	4	structures	structure	NOUN
ejpam-3408	1074	5	in	in	ADP
ejpam-3408	1074	6	simple	simple	ADJ
ejpam-3408	1074	7	associative	associative	ADJ
ejpam-3408	1074	8	rings	ring	NOUN
ejpam-3408	1074	9	.	.	PUNCT
ejpam-3408	1075	1	bull	bull	NOUN
ejpam-3408	1075	2	.	.	PUNCT
ejpam-3408	1076	1	amer	amer	PROPN
ejpam-3408	1076	2	.	.	PUNCT
ejpam-3408	1076	3	math	math	PROPN
ejpam-3408	1076	4	.	.	PUNCT
ejpam-3408	1077	1	soc	soc	PROPN
ejpam-3408	1077	2	.	.	PUNCT
ejpam-3408	1077	3	,	,	PUNCT
ejpam-3408	1077	4	67:517–531	67:517–531	PROPN
ejpam-3408	1077	5	,	,	PUNCT
ejpam-3408	1077	6	1961	1961	NUM
ejpam-3408	1077	7	.	.	PUNCT
ejpam-3408	1078	1	[	[	X
ejpam-3408	1078	2	90	90	NUM
ejpam-3408	1078	3	]	]	PUNCT
ejpam-3408	1078	4	i.	i.	PROPN
ejpam-3408	1078	5	n.	n.	PROPN
ejpam-3408	1078	6	herstein	herstein	PROPN
ejpam-3408	1078	7	.	.	PUNCT
ejpam-3408	1079	1	non	non	ADJ
ejpam-3408	1079	2	-	-	ADJ
ejpam-3408	1079	3	commutative	commutative	ADJ
ejpam-3408	1079	4	rings	ring	NOUN
ejpam-3408	1079	5	.	.	PUNCT
ejpam-3408	1080	1	the	the	DET
ejpam-3408	1080	2	carus	carus	PROPN
ejpam-3408	1080	3	mathematical	mathematical	PROPN
ejpam-3408	1080	4	monographs15	monographs15	PROPN
ejpam-3408	1080	5	,	,	PUNCT
ejpam-3408	1080	6	maa	maa	PROPN
ejpam-3408	1080	7	textb	textb	PROPN
ejpam-3408	1080	8	,	,	PUNCT
ejpam-3408	1080	9	1968	1968	NUM
ejpam-3408	1080	10	.	.	PUNCT
ejpam-3408	1081	1	[	[	X
ejpam-3408	1081	2	91	91	NUM
ejpam-3408	1081	3	]	]	X
ejpam-3408	1081	4	i.	i.	PROPN
ejpam-3408	1081	5	n.	n.	PROPN
ejpam-3408	1081	6	herstein	herstein	PROPN
ejpam-3408	1081	7	.	.	PUNCT
ejpam-3408	1082	1	topics	topic	NOUN
ejpam-3408	1082	2	in	in	ADP
ejpam-3408	1082	3	ring	ring	NOUN
ejpam-3408	1082	4	theory	theory	NOUN
ejpam-3408	1082	5	.	.	PUNCT
ejpam-3408	1083	1	university	university	NOUN
ejpam-3408	1083	2	of	of	ADP
ejpam-3408	1083	3	chicago	chicago	PROPN
ejpam-3408	1083	4	press	press	PROPN
ejpam-3408	1083	5	,	,	PUNCT
ejpam-3408	1083	6	chicago	chicago	PROPN
ejpam-3408	1083	7	,	,	PUNCT
ejpam-3408	1083	8	1969	1969	NUM
ejpam-3408	1083	9	.	.	PUNCT
ejpam-3408	1084	1	references	reference	NOUN
ejpam-3408	1084	2	398	398	NUM
ejpam-3408	1084	3	[	[	X
ejpam-3408	1084	4	92	92	NUM
ejpam-3408	1084	5	]	]	PUNCT
ejpam-3408	1084	6	i.	i.	PROPN
ejpam-3408	1084	7	n.	n.	PROPN
ejpam-3408	1084	8	herstein	herstein	PROPN
ejpam-3408	1084	9	.	.	PUNCT
ejpam-3408	1085	1	on	on	ADP
ejpam-3408	1085	2	the	the	DET
ejpam-3408	1085	3	lie	lie	NOUN
ejpam-3408	1085	4	structure	structure	NOUN
ejpam-3408	1085	5	of	of	ADP
ejpam-3408	1085	6	an	an	DET
ejpam-3408	1085	7	associative	associative	ADJ
ejpam-3408	1085	8	ring	ring	NOUN
ejpam-3408	1085	9	.	.	PUNCT
ejpam-3408	1086	1	j.	j.	PROPN
ejpam-3408	1086	2	algebra	algebra	PROPN
ejpam-3408	1086	3	,	,	PUNCT
ejpam-3408	1086	4	14:561–571	14:561–571	PROPN
ejpam-3408	1086	5	,	,	PUNCT
ejpam-3408	1086	6	1970	1970	NUM
ejpam-3408	1086	7	.	.	PUNCT
ejpam-3408	1087	1	[	[	X
ejpam-3408	1087	2	93	93	NUM
ejpam-3408	1087	3	]	]	PUNCT
ejpam-3408	1087	4	i.	i.	PROPN
ejpam-3408	1087	5	n.	n.	PROPN
ejpam-3408	1087	6	herstein	herstein	PROPN
ejpam-3408	1087	7	and	and	CCONJ
ejpam-3408	1087	8	e.	e.	PROPN
ejpam-3408	1087	9	kleinfeld	kleinfeld	PROPN
ejpam-3408	1087	10	.	.	PUNCT
ejpam-3408	1088	1	lie	lie	NOUN
ejpam-3408	1088	2	mappings	mapping	NOUN
ejpam-3408	1088	3	in	in	ADP
ejpam-3408	1088	4	characteristic	characteristic	ADJ
ejpam-3408	1088	5	2	2	NUM
ejpam-3408	1088	6	.	.	PUNCT
ejpam-3408	1088	7	pacific	pacific	PROPN
ejpam-3408	1088	8	j.	j.	PROPN
ejpam-3408	1088	9	math	math	PROPN
ejpam-3408	1088	10	.	.	PUNCT
ejpam-3408	1088	11	,	,	PUNCT
ejpam-3408	1088	12	10:843–852	10:843–852	NUM
ejpam-3408	1088	13	,	,	PUNCT
ejpam-3408	1088	14	1960	1960	NUM
ejpam-3408	1088	15	.	.	PUNCT
ejpam-3408	1089	1	[	[	X
ejpam-3408	1089	2	94	94	X
ejpam-3408	1089	3	]	]	X
ejpam-3408	1089	4	p.	p.	NOUN
ejpam-3408	1089	5	j.	j.	PROPN
ejpam-3408	1089	6	higgins	higgins	PROPN
ejpam-3408	1089	7	.	.	PUNCT
ejpam-3408	1090	1	lie	lie	PROPN
ejpam-3408	1090	2	rings	ring	NOUN
ejpam-3408	1090	3	satisfying	satisfy	VERB
ejpam-3408	1090	4	the	the	DET
ejpam-3408	1090	5	engel	engel	PROPN
ejpam-3408	1090	6	condition	condition	NOUN
ejpam-3408	1090	7	.	.	PUNCT
ejpam-3408	1091	1	math	math	NOUN
ejpam-3408	1091	2	.	.	PUNCT
ejpam-3408	1092	1	proc	proc	PROPN
ejpam-3408	1092	2	.	.	PUNCT
ejpam-3408	1093	1	cambridge	cambridge	PROPN
ejpam-3408	1093	2	philos	philos	PROPN
ejpam-3408	1093	3	.	.	PUNCT
ejpam-3408	1093	4	soc	soc	PROPN
ejpam-3408	1093	5	.	.	PUNCT
ejpam-3408	1093	6	,	,	PUNCT
ejpam-3408	1093	7	50:8–15	50:8–15	NUM
ejpam-3408	1093	8	,	,	PUNCT
ejpam-3408	1093	9	1954	1954	NUM
ejpam-3408	1093	10	.	.	PUNCT
ejpam-3408	1094	1	[	[	X
ejpam-3408	1094	2	95	95	NUM
ejpam-3408	1094	3	]	]	X
ejpam-3408	1094	4	g.	g.	PROPN
ejpam-3408	1094	5	higman	higman	PROPN
ejpam-3408	1094	6	.	.	PUNCT
ejpam-3408	1095	1	the	the	DET
ejpam-3408	1095	2	units	unit	NOUN
ejpam-3408	1095	3	of	of	ADP
ejpam-3408	1095	4	group	group	NOUN
ejpam-3408	1095	5	rings	ring	NOUN
ejpam-3408	1095	6	.	.	PUNCT
ejpam-3408	1096	1	proc	proc	PROPN
ejpam-3408	1096	2	.	.	PUNCT
ejpam-3408	1097	1	lond	lond	PROPN
ejpam-3408	1097	2	.	.	PUNCT
ejpam-3408	1098	1	math	math	NOUN
ejpam-3408	1098	2	.	.	PUNCT
ejpam-3408	1099	1	soc	soc	PROPN
ejpam-3408	1099	2	.	.	PUNCT
ejpam-3408	1099	3	,	,	PUNCT
ejpam-3408	1099	4	46:231–248	46:231–248	PROPN
ejpam-3408	1099	5	,	,	PUNCT
ejpam-3408	1099	6	1940	1940	NUM
ejpam-3408	1099	7	.	.	PUNCT
ejpam-3408	1100	1	[	[	X
ejpam-3408	1100	2	96	96	NUM
ejpam-3408	1100	3	]	]	X
ejpam-3408	1100	4	g.	g.	PROPN
ejpam-3408	1100	5	higman	higman	PROPN
ejpam-3408	1100	6	.	.	PUNCT
ejpam-3408	1101	1	groups	group	NOUN
ejpam-3408	1101	2	and	and	CCONJ
ejpam-3408	1101	3	rings	ring	NOUN
ejpam-3408	1101	4	having	have	VERB
ejpam-3408	1101	5	automorphisms	automorphisms	PROPN
ejpam-3408	1101	6	without	without	ADP
ejpam-3408	1101	7	non	non	ADJ
ejpam-3408	1101	8	-	-	ADJ
ejpam-3408	1101	9	trivial	trivial	ADJ
ejpam-3408	1101	10	fixed	fix	VERB
ejpam-3408	1101	11	elements	element	NOUN
ejpam-3408	1101	12	.	.	PUNCT
ejpam-3408	1102	1	j.	j.	PROPN
ejpam-3408	1102	2	lond	lond	PROPN
ejpam-3408	1102	3	.	.	PUNCT
ejpam-3408	1103	1	math	math	PROPN
ejpam-3408	1103	2	.	.	PUNCT
ejpam-3408	1104	1	soc	soc	PROPN
ejpam-3408	1104	2	.	.	PUNCT
ejpam-3408	1104	3	,	,	PUNCT
ejpam-3408	1104	4	32:321–332	32:321–332	NUM
ejpam-3408	1104	5	,	,	PUNCT
ejpam-3408	1104	6	1957	1957	NUM
ejpam-3408	1104	7	.	.	PUNCT
ejpam-3408	1105	1	[	[	X
ejpam-3408	1105	2	97	97	NUM
ejpam-3408	1105	3	]	]	X
ejpam-3408	1105	4	c.	c.	PROPN
ejpam-3408	1105	5	hopkins	hopkins	PROPN
ejpam-3408	1105	6	.	.	PUNCT
ejpam-3408	1105	7	rings	ring	NOUN
ejpam-3408	1105	8	with	with	ADP
ejpam-3408	1105	9	minimal	minimal	ADJ
ejpam-3408	1105	10	condition	condition	NOUN
ejpam-3408	1105	11	for	for	ADP
ejpam-3408	1105	12	left	left	ADJ
ejpam-3408	1105	13	ideals	ideal	NOUN
ejpam-3408	1105	14	.	.	PUNCT
ejpam-3408	1106	1	ann	ann	PROPN
ejpam-3408	1106	2	.	.	PROPN
ejpam-3408	1106	3	of	of	ADP
ejpam-3408	1106	4	math	math	NOUN
ejpam-3408	1106	5	.	.	PUNCT
ejpam-3408	1106	6	,	,	PUNCT
ejpam-3408	1106	7	40:712–730	40:712–730	PROPN
ejpam-3408	1106	8	,	,	PUNCT
ejpam-3408	1106	9	1939	1939	NUM
ejpam-3408	1106	10	.	.	PUNCT
ejpam-3408	1107	1	[	[	X
ejpam-3408	1107	2	98	98	NUM
ejpam-3408	1107	3	]	]	X
ejpam-3408	1107	4	m.	m.	NOUN
ejpam-3408	1107	5	horn	horn	NOUN
ejpam-3408	1107	6	and	and	CCONJ
ejpam-3408	1107	7	s.	s.	PROPN
ejpam-3408	1107	8	zandi	zandi	PROPN
ejpam-3408	1107	9	.	.	PUNCT
ejpam-3408	1108	1	second	second	ADJ
ejpam-3408	1108	2	cohomology	cohomology	NOUN
ejpam-3408	1108	3	of	of	ADP
ejpam-3408	1108	4	lie	lie	NOUN
ejpam-3408	1108	5	rings	ring	NOUN
ejpam-3408	1108	6	and	and	CCONJ
ejpam-3408	1108	7	the	the	DET
ejpam-3408	1108	8	schur	schur	PROPN
ejpam-3408	1108	9	multiplier	multiplier	NOUN
ejpam-3408	1108	10	.	.	PUNCT
ejpam-3408	1109	1	int	int	NOUN
ejpam-3408	1109	2	.	.	PUNCT
ejpam-3408	1110	1	j.	j.	PROPN
ejpam-3408	1110	2	group	group	PROPN
ejpam-3408	1110	3	theory	theory	PROPN
ejpam-3408	1110	4	,	,	PUNCT
ejpam-3408	1110	5	3:9–20	3:9–20	NUM
ejpam-3408	1110	6	,	,	PUNCT
ejpam-3408	1110	7	2014	2014	NUM
ejpam-3408	1110	8	.	.	PUNCT
ejpam-3408	1111	1	[	[	X
ejpam-3408	1111	2	99	99	NUM
ejpam-3408	1111	3	]	]	X
ejpam-3408	1111	4	r.	r.	PROPN
ejpam-3408	1111	5	howe	howe	PROPN
ejpam-3408	1111	6	.	.	PUNCT
ejpam-3408	1112	1	very	very	ADV
ejpam-3408	1112	2	basic	basic	ADJ
ejpam-3408	1112	3	lie	lie	NOUN
ejpam-3408	1112	4	theory	theory	NOUN
ejpam-3408	1112	5	.	.	PUNCT
ejpam-3408	1113	1	amer	amer	PROPN
ejpam-3408	1113	2	.	.	PUNCT
ejpam-3408	1113	3	math	math	PROPN
ejpam-3408	1113	4	.	.	PUNCT
ejpam-3408	1114	1	monthly	monthly	ADV
ejpam-3408	1114	2	,	,	PUNCT
ejpam-3408	1114	3	90:600–623	90:600–623	NUM
ejpam-3408	1114	4	,	,	PUNCT
ejpam-3408	1114	5	1983	1983	NUM
ejpam-3408	1114	6	.	.	PUNCT
ejpam-3408	1115	1	[	[	X
ejpam-3408	1115	2	100	100	NUM
ejpam-3408	1115	3	]	]	PUNCT
ejpam-3408	1115	4	m.	m.	NOUN
ejpam-3408	1115	5	m.	m.	PROPN
ejpam-3408	1115	6	humm	humm	PROPN
ejpam-3408	1115	7	.	.	PUNCT
ejpam-3408	1116	1	on	on	ADP
ejpam-3408	1116	2	a	a	DET
ejpam-3408	1116	3	class	class	NOUN
ejpam-3408	1116	4	of	of	ADP
ejpam-3408	1116	5	right	right	ADJ
ejpam-3408	1116	6	alternative	alternative	ADJ
ejpam-3408	1116	7	rings	ring	NOUN
ejpam-3408	1116	8	without	without	ADP
ejpam-3408	1116	9	nilpotent	nilpotent	ADJ
ejpam-3408	1116	10	ideals	ideal	NOUN
ejpam-3408	1116	11	.	.	PUNCT
ejpam-3408	1117	1	j.	j.	PROPN
ejpam-3408	1117	2	algebra	algebra	PROPN
ejpam-3408	1117	3	,	,	PUNCT
ejpam-3408	1117	4	5:164–174	5:164–174	NUM
ejpam-3408	1117	5	,	,	PUNCT
ejpam-3408	1117	6	1967	1967	NUM
ejpam-3408	1117	7	.	.	PUNCT
ejpam-3408	1118	1	[	[	X
ejpam-3408	1118	2	101	101	NUM
ejpam-3408	1118	3	]	]	PUNCT
ejpam-3408	1118	4	m.	m.	NOUN
ejpam-3408	1118	5	m.	m.	NOUN
ejpam-3408	1118	6	humm	humm	PROPN
ejpam-3408	1118	7	and	and	CCONJ
ejpam-3408	1118	8	e.	e.	PROPN
ejpam-3408	1118	9	kleinfeld	kleinfeld	PROPN
ejpam-3408	1118	10	.	.	PUNCT
ejpam-3408	1119	1	on	on	ADP
ejpam-3408	1119	2	free	free	ADJ
ejpam-3408	1119	3	alternative	alternative	ADJ
ejpam-3408	1119	4	rings	ring	NOUN
ejpam-3408	1119	5	.	.	PUNCT
ejpam-3408	1120	1	journal	journal	PROPN
ejpam-3408	1120	2	of	of	ADP
ejpam-3408	1120	3	combinatorial	combinatorial	ADJ
ejpam-3408	1120	4	theory	theory	NOUN
ejpam-3408	1120	5	,	,	PUNCT
ejpam-3408	1120	6	2:140–144	2:140–144	NUM
ejpam-3408	1120	7	,	,	PUNCT
ejpam-3408	1120	8	1967	1967	NUM
ejpam-3408	1120	9	.	.	PUNCT
ejpam-3408	1121	1	[	[	X
ejpam-3408	1121	2	102	102	NUM
ejpam-3408	1121	3	]	]	X
ejpam-3408	1121	4	j.	j.	PROPN
ejpam-3408	1121	5	e.	e.	PROPN
ejpam-3408	1121	6	humphreys	humphreys	PROPN
ejpam-3408	1121	7	.	.	PUNCT
ejpam-3408	1122	1	introduction	introduction	NOUN
ejpam-3408	1122	2	to	to	PART
ejpam-3408	1122	3	lie	lie	VERB
ejpam-3408	1122	4	algebras	algebra	NOUN
ejpam-3408	1122	5	and	and	CCONJ
ejpam-3408	1122	6	representation	representation	NOUN
ejpam-3408	1122	7	theory	theory	NOUN
ejpam-3408	1122	8	.	.	PUNCT
ejpam-3408	1123	1	springer	springer	NOUN
ejpam-3408	1123	2	,	,	PUNCT
ejpam-3408	1123	3	new	new	PROPN
ejpam-3408	1123	4	york	york	PROPN
ejpam-3408	1123	5	,	,	PUNCT
ejpam-3408	1123	6	1972	1972	NUM
ejpam-3408	1123	7	.	.	PUNCT
ejpam-3408	1124	1	[	[	X
ejpam-3408	1124	2	103	103	NUM
ejpam-3408	1124	3	]	]	PUNCT
ejpam-3408	1124	4	j.	j.	PROPN
ejpam-3408	1124	5	e.	e.	PROPN
ejpam-3408	1124	6	humphreys	humphreys	PROPN
ejpam-3408	1124	7	and	and	CCONJ
ejpam-3408	1124	8	e.	e.	PROPN
ejpam-3408	1124	9	james	james	PROPN
ejpam-3408	1124	10	.	.	PROPN
ejpam-3408	1125	1	introduction	introduction	NOUN
ejpam-3408	1125	2	to	to	PART
ejpam-3408	1125	3	lie	lie	VERB
ejpam-3408	1125	4	algebras	algebra	NOUN
ejpam-3408	1125	5	and	and	CCONJ
ejpam-3408	1125	6	representation	representation	NOUN
ejpam-3408	1125	7	theory	theory	NOUN
ejpam-3408	1125	8	.	.	PUNCT
ejpam-3408	1126	1	springer	springer	NOUN
ejpam-3408	1126	2	,	,	PUNCT
ejpam-3408	1126	3	new	new	PROPN
ejpam-3408	1126	4	york	york	PROPN
ejpam-3408	1126	5	,	,	PUNCT
ejpam-3408	1126	6	1994	1994	NUM
ejpam-3408	1126	7	.	.	PUNCT
ejpam-3408	1127	1	[	[	X
ejpam-3408	1127	2	104	104	X
ejpam-3408	1127	3	]	]	PUNCT
ejpam-3408	1127	4	f.	f.	PROPN
ejpam-3408	1127	5	hussain	hussain	PROPN
ejpam-3408	1127	6	and	and	CCONJ
ejpam-3408	1127	7	w.	w.	PROPN
ejpam-3408	1127	8	khan	khan	PROPN
ejpam-3408	1127	9	.	.	PUNCT
ejpam-3408	1128	1	congruences	congruence	NOUN
ejpam-3408	1128	2	on	on	ADP
ejpam-3408	1128	3	left	left	ADJ
ejpam-3408	1128	4	almost	almost	ADV
ejpam-3408	1128	5	rings	ring	NOUN
ejpam-3408	1128	6	.	.	PUNCT
ejpam-3408	1129	1	international	international	ADJ
ejpam-3408	1129	2	journal	journal	PROPN
ejpam-3408	1129	3	of	of	ADP
ejpam-3408	1129	4	algebra	algebra	PROPN
ejpam-3408	1129	5	and	and	CCONJ
ejpam-3408	1129	6	statistics	statistic	NOUN
ejpam-3408	1129	7	,	,	PUNCT
ejpam-3408	1129	8	4:1–6	4:1–6	NUM
ejpam-3408	1129	9	,	,	PUNCT
ejpam-3408	1129	10	2015	2015	NUM
ejpam-3408	1129	11	.	.	PUNCT
ejpam-3408	1130	1	[	[	X
ejpam-3408	1130	2	105	105	NUM
ejpam-3408	1130	3	]	]	X
ejpam-3408	1130	4	f.	f.	PROPN
ejpam-3408	1130	5	klein	klein	PROPN
ejpam-3408	1130	6	i.	i.	PROPN
ejpam-3408	1130	7	m.	m.	PROPN
ejpam-3408	1130	8	yaglom	yaglom	PROPN
ejpam-3408	1130	9	and	and	CCONJ
ejpam-3408	1130	10	s.	s.	PROPN
ejpam-3408	1130	11	lie	lie	PROPN
ejpam-3408	1130	12	.	.	PUNCT
ejpam-3408	1131	1	evolution	evolution	NOUN
ejpam-3408	1131	2	of	of	ADP
ejpam-3408	1131	3	the	the	DET
ejpam-3408	1131	4	idea	idea	NOUN
ejpam-3408	1131	5	of	of	ADP
ejpam-3408	1131	6	symmetry	symmetry	NOUN
ejpam-3408	1131	7	in	in	ADP
ejpam-3408	1131	8	the	the	DET
ejpam-3408	1131	9	nineteenth	nineteenth	ADJ
ejpam-3408	1131	10	century	century	NOUN
ejpam-3408	1131	11	.	.	PUNCT
ejpam-3408	1132	1	birkhauser	birkhauser	PROPN
ejpam-3408	1132	2	,	,	PUNCT
ejpam-3408	1132	3	boston	boston	PROPN
ejpam-3408	1132	4	,	,	PUNCT
ejpam-3408	1132	5	1988	1988	NUM
ejpam-3408	1132	6	.	.	PUNCT
ejpam-3408	1133	1	[	[	X
ejpam-3408	1133	2	106	106	X
ejpam-3408	1133	3	]	]	X
ejpam-3408	1133	4	t.	t.	PROPN
ejpam-3408	1133	5	shah	shah	PROPN
ejpam-3408	1133	6	i.	i.	PROPN
ejpam-3408	1133	7	rehman	rehman	PROPN
ejpam-3408	1133	8	,	,	PUNCT
ejpam-3408	1133	9	m.	m.	NOUN
ejpam-3408	1133	10	shah	shah	PROPN
ejpam-3408	1133	11	and	and	CCONJ
ejpam-3408	1133	12	asima	asima	NOUN
ejpam-3408	1133	13	razzaque	razzaque	NOUN
ejpam-3408	1133	14	.	.	PUNCT
ejpam-3408	1134	1	on	on	ADP
ejpam-3408	1134	2	existence	existence	NOUN
ejpam-3408	1134	3	of	of	ADP
ejpam-3408	1134	4	non	non	ADJ
ejpam-3408	1134	5	-	-	ADJ
ejpam-3408	1134	6	associative	associative	ADJ
ejpam-3408	1134	7	la	la	NOUN
ejpam-3408	1134	8	-	-	PUNCT
ejpam-3408	1134	9	rings	ring	NOUN
ejpam-3408	1134	10	.	.	PUNCT
ejpam-3408	1135	1	stiint	stiint	PROPN
ejpam-3408	1135	2	.	.	PUNCT
ejpam-3408	1136	1	univ	univ	PROPN
ejpam-3408	1136	2	.	.	PUNCT
ejpam-3408	1136	3	”	"	PUNCT
ejpam-3408	1136	4	ovidius	ovidius	PROPN
ejpam-3408	1136	5	”	"	PUNCT
ejpam-3408	1136	6	constanta	constanta	PROPN
ejpam-3408	1136	7	ser	ser	PROPN
ejpam-3408	1136	8	.	.	PROPN
ejpam-3408	1137	1	mat	mat	PROPN
ejpam-3408	1137	2	.	.	PROPN
ejpam-3408	1137	3	,	,	PUNCT
ejpam-3408	1137	4	21:223–228	21:223–228	PROPN
ejpam-3408	1137	5	,	,	PUNCT
ejpam-3408	1137	6	2013	2013	NUM
ejpam-3408	1137	7	.	.	PUNCT
ejpam-3408	1138	1	[	[	X
ejpam-3408	1138	2	107	107	NUM
ejpam-3408	1138	3	]	]	X
ejpam-3408	1138	4	radu	radu	PROPN
ejpam-3408	1138	5	iordanescu	iordanescu	PROPN
ejpam-3408	1138	6	.	.	PUNCT
ejpam-3408	1139	1	jordan	jordan	PROPN
ejpam-3408	1139	2	structures	structure	NOUN
ejpam-3408	1139	3	in	in	ADP
ejpam-3408	1139	4	mathematics	mathematic	NOUN
ejpam-3408	1139	5	and	and	CCONJ
ejpam-3408	1139	6	physics	physics	PROPN
ejpam-3408	1139	7	.	.	PUNCT
ejpam-3408	1140	1	arxiv	arxiv	PROPN
ejpam-3408	1140	2	preprint	preprint	PROPN
ejpam-3408	1140	3	arxiv:1106.4415	arxiv:1106.4415	PROPN
ejpam-3408	1140	4	,	,	PUNCT
ejpam-3408	1140	5	2011	2011	NUM
ejpam-3408	1140	6	.	.	PUNCT
ejpam-3408	1141	1	[	[	X
ejpam-3408	1141	2	108	108	NUM
ejpam-3408	1141	3	]	]	PUNCT
ejpam-3408	1141	4	k.	k.	PROPN
ejpam-3408	1141	5	iwasawa	iwasawa	PROPN
ejpam-3408	1141	6	.	.	PUNCT
ejpam-3408	1142	1	on	on	ADP
ejpam-3408	1142	2	the	the	DET
ejpam-3408	1142	3	representation	representation	NOUN
ejpam-3408	1142	4	of	of	ADP
ejpam-3408	1142	5	lie	lie	NOUN
ejpam-3408	1142	6	algebras	algebras	PROPN
ejpam-3408	1142	7	.	.	PUNCT
ejpam-3408	1142	8	jpn	jpn	PROPN
ejpam-3408	1142	9	.	.	PUNCT
ejpam-3408	1143	1	j.	j.	PROPN
ejpam-3408	1143	2	math	math	PROPN
ejpam-3408	1143	3	.	.	PUNCT
ejpam-3408	1143	4	,	,	PUNCT
ejpam-3408	1143	5	19:405–426	19:405–426	NUM
ejpam-3408	1143	6	,	,	PUNCT
ejpam-3408	1143	7	1948	1948	NUM
ejpam-3408	1143	8	.	.	PUNCT
ejpam-3408	1144	1	references	reference	NOUN
ejpam-3408	1144	2	399	399	NUM
ejpam-3408	1144	3	[	[	X
ejpam-3408	1144	4	109	109	NUM
ejpam-3408	1144	5	]	]	PUNCT
ejpam-3408	1144	6	b.	b.	PROPN
ejpam-3408	1144	7	kolman	kolman	PROPN
ejpam-3408	1144	8	j.	j.	PROPN
ejpam-3408	1144	9	g.	g.	PROPN
ejpam-3408	1144	10	belinfante	belinfante	PROPN
ejpam-3408	1144	11	and	and	CCONJ
ejpam-3408	1144	12	h.	h.	PROPN
ejpam-3408	1144	13	a.	a.	PROPN
ejpam-3408	1144	14	smith	smith	PROPN
ejpam-3408	1144	15	.	.	PUNCT
ejpam-3408	1145	1	an	an	DET
ejpam-3408	1145	2	introduction	introduction	NOUN
ejpam-3408	1145	3	to	to	PART
ejpam-3408	1145	4	lie	lie	VERB
ejpam-3408	1145	5	groups	group	NOUN
ejpam-3408	1145	6	and	and	CCONJ
ejpam-3408	1145	7	lie	lie	VERB
ejpam-3408	1145	8	algebras	algebra	NOUN
ejpam-3408	1145	9	with	with	ADP
ejpam-3408	1145	10	applications	application	NOUN
ejpam-3408	1145	11	.	.	PUNCT
ejpam-3408	1146	1	siam	siam	PROPN
ejpam-3408	1146	2	rev	rev	PROPN
ejpam-3408	1146	3	.	.	PROPN
ejpam-3408	1146	4	,	,	PUNCT
ejpam-3408	1146	5	8:11–46	8:11–46	NUM
ejpam-3408	1146	6	,	,	PUNCT
ejpam-3408	1146	7	1966	1966	NUM
ejpam-3408	1146	8	.	.	PUNCT
ejpam-3408	1147	1	[	[	X
ejpam-3408	1147	2	110	110	NUM
ejpam-3408	1147	3	]	]	X
ejpam-3408	1147	4	n.	n.	PROPN
ejpam-3408	1147	5	jacobson	jacobson	PROPN
ejpam-3408	1147	6	.	.	PUNCT
ejpam-3408	1148	1	cayley	cayley	ADJ
ejpam-3408	1148	2	numbers	number	NOUN
ejpam-3408	1148	3	and	and	CCONJ
ejpam-3408	1148	4	normal	normal	ADJ
ejpam-3408	1148	5	simple	simple	ADJ
ejpam-3408	1148	6	lie	lie	NOUN
ejpam-3408	1148	7	algebras	algebra	NOUN
ejpam-3408	1148	8	of	of	ADP
ejpam-3408	1148	9	type	type	NOUN
ejpam-3408	1148	10	g.	g.	PROPN
ejpam-3408	1148	11	duke	duke	PROPN
ejpam-3408	1148	12	math	math	PROPN
ejpam-3408	1148	13	.	.	PUNCT
ejpam-3408	1149	1	j.	j.	PROPN
ejpam-3408	1149	2	,	,	PUNCT
ejpam-3408	1149	3	5:775–783	5:775–783	NUM
ejpam-3408	1149	4	,	,	PUNCT
ejpam-3408	1149	5	1939	1939	NUM
ejpam-3408	1149	6	.	.	PUNCT
ejpam-3408	1150	1	[	[	X
ejpam-3408	1150	2	111	111	NUM
ejpam-3408	1150	3	]	]	PUNCT
ejpam-3408	1150	4	n.	n.	PROPN
ejpam-3408	1150	5	jacobson	jacobson	PROPN
ejpam-3408	1150	6	.	.	PUNCT
ejpam-3408	1150	7	isomorphisms	isomorphisms	PROPN
ejpam-3408	1150	8	of	of	ADP
ejpam-3408	1150	9	jordan	jordan	PROPN
ejpam-3408	1150	10	rings	rings	PROPN
ejpam-3408	1150	11	.	.	PUNCT
ejpam-3408	1151	1	amer	amer	PROPN
ejpam-3408	1151	2	.	.	PUNCT
ejpam-3408	1152	1	j.	j.	PROPN
ejpam-3408	1152	2	math	math	PROPN
ejpam-3408	1152	3	.	.	PUNCT
ejpam-3408	1152	4	,	,	PUNCT
ejpam-3408	1152	5	70:317–326	70:317–326	NUM
ejpam-3408	1152	6	,	,	PUNCT
ejpam-3408	1152	7	1948	1948	NUM
ejpam-3408	1152	8	.	.	PUNCT
ejpam-3408	1153	1	[	[	X
ejpam-3408	1153	2	112	112	NUM
ejpam-3408	1153	3	]	]	X
ejpam-3408	1153	4	n.	n.	PROPN
ejpam-3408	1153	5	jacobson	jacobson	PROPN
ejpam-3408	1153	6	.	.	PUNCT
ejpam-3408	1154	1	the	the	DET
ejpam-3408	1154	2	centre	centre	NOUN
ejpam-3408	1154	3	of	of	ADP
ejpam-3408	1154	4	a	a	DET
ejpam-3408	1154	5	jordan	jordan	PROPN
ejpam-3408	1154	6	ring	ring	PROPN
ejpam-3408	1154	7	.	.	PUNCT
ejpam-3408	1155	1	bull	bull	PROPN
ejpam-3408	1155	2	.	.	PUNCT
ejpam-3408	1156	1	amer	amer	PROPN
ejpam-3408	1156	2	.	.	PUNCT
ejpam-3408	1156	3	math	math	PROPN
ejpam-3408	1156	4	.	.	PUNCT
ejpam-3408	1157	1	soc	soc	PROPN
ejpam-3408	1157	2	.	.	PROPN
ejpam-3408	1157	3	,	,	PUNCT
ejpam-3408	1157	4	54:316–322	54:316–322	PROPN
ejpam-3408	1157	5	,	,	PUNCT
ejpam-3408	1157	6	1948	1948	NUM
ejpam-3408	1157	7	.	.	PUNCT
ejpam-3408	1158	1	[	[	X
ejpam-3408	1158	2	113	113	NUM
ejpam-3408	1158	3	]	]	X
ejpam-3408	1158	4	n.	n.	PROPN
ejpam-3408	1158	5	jacobson	jacobson	PROPN
ejpam-3408	1158	6	.	.	PUNCT
ejpam-3408	1158	7	structure	structure	NOUN
ejpam-3408	1158	8	of	of	ADP
ejpam-3408	1158	9	rings	ring	NOUN
ejpam-3408	1158	10	.	.	PUNCT
ejpam-3408	1159	1	american	american	PROPN
ejpam-3408	1159	2	mathematical	mathematical	PROPN
ejpam-3408	1159	3	society	society	PROPN
ejpam-3408	1159	4	transl	transl	PROPN
ejpam-3408	1159	5	.	.	PUNCT
ejpam-3408	1160	1	ser	ser	PROPN
ejpam-3408	1160	2	.	.	PROPN
ejpam-3408	1161	1	2	2	NUM
ejpam-3408	1161	2	,	,	PUNCT
ejpam-3408	1161	3	usa	usa	PROPN
ejpam-3408	1161	4	,	,	PUNCT
ejpam-3408	1161	5	1964	1964	NUM
ejpam-3408	1161	6	.	.	PUNCT
ejpam-3408	1162	1	[	[	X
ejpam-3408	1162	2	114	114	NUM
ejpam-3408	1162	3	]	]	X
ejpam-3408	1162	4	n.	n.	PROPN
ejpam-3408	1162	5	jacobson	jacobson	PROPN
ejpam-3408	1162	6	.	.	PUNCT
ejpam-3408	1162	7	structure	structure	NOUN
ejpam-3408	1162	8	and	and	CCONJ
ejpam-3408	1162	9	representations	representation	NOUN
ejpam-3408	1162	10	of	of	ADP
ejpam-3408	1162	11	jordan	jordan	PROPN
ejpam-3408	1162	12	algebra	algebra	PROPN
ejpam-3408	1162	13	.	.	PUNCT
ejpam-3408	1163	1	amer	amer	PROPN
ejpam-3408	1163	2	.	.	PUNCT
ejpam-3408	1163	3	math	math	PROPN
ejpam-3408	1163	4	.	.	PUNCT
ejpam-3408	1164	1	soc	soc	PROPN
ejpam-3408	1164	2	.	.	PUNCT
ejpam-3408	1165	1	colloq	colloq	PROPN
ejpam-3408	1165	2	.	.	PUNCT
ejpam-3408	1166	1	publ	publ	PROPN
ejpam-3408	1166	2	.	.	PROPN
ejpam-3408	1166	3	,	,	PUNCT
ejpam-3408	1166	4	usa	usa	PROPN
ejpam-3408	1166	5	,	,	PUNCT
ejpam-3408	1166	6	1968	1968	NUM
ejpam-3408	1166	7	.	.	PUNCT
ejpam-3408	1167	1	[	[	X
ejpam-3408	1167	2	115	115	NUM
ejpam-3408	1167	3	]	]	X
ejpam-3408	1167	4	n.	n.	PROPN
ejpam-3408	1167	5	jacobson	jacobson	PROPN
ejpam-3408	1167	6	and	and	CCONJ
ejpam-3408	1167	7	c.	c.	PROPN
ejpam-3408	1167	8	e.	e.	PROPN
ejpam-3408	1167	9	rickart	rickart	PROPN
ejpam-3408	1167	10	.	.	PUNCT
ejpam-3408	1168	1	jordan	jordan	PROPN
ejpam-3408	1168	2	homomorphisms	homomorphisms	PROPN
ejpam-3408	1168	3	of	of	ADP
ejpam-3408	1168	4	rings	ring	NOUN
ejpam-3408	1168	5	.	.	PUNCT
ejpam-3408	1169	1	trans	trans	PROPN
ejpam-3408	1169	2	.	.	PUNCT
ejpam-3408	1170	1	amer	amer	PROPN
ejpam-3408	1170	2	.	.	PUNCT
ejpam-3408	1170	3	math	math	PROPN
ejpam-3408	1170	4	.	.	PUNCT
ejpam-3408	1171	1	soc	soc	PROPN
ejpam-3408	1171	2	.	.	PUNCT
ejpam-3408	1171	3	,	,	PUNCT
ejpam-3408	1172	1	60:479–502	60:479–502	PROPN
ejpam-3408	1172	2	,	,	PUNCT
ejpam-3408	1172	3	1950	1950	NUM
ejpam-3408	1172	4	.	.	PUNCT
ejpam-3408	1173	1	[	[	X
ejpam-3408	1173	2	116	116	X
ejpam-3408	1173	3	]	]	X
ejpam-3408	1173	4	n.	n.	PROPN
ejpam-3408	1173	5	jacobson	jacobson	PROPN
ejpam-3408	1173	6	and	and	CCONJ
ejpam-3408	1173	7	c.	c.	PROPN
ejpam-3408	1173	8	e.	e.	PROPN
ejpam-3408	1173	9	rickart	rickart	PROPN
ejpam-3408	1173	10	.	.	PUNCT
ejpam-3408	1174	1	homomorphisms	homomorphism	NOUN
ejpam-3408	1174	2	of	of	ADP
ejpam-3408	1174	3	jordan	jordan	PROPN
ejpam-3408	1174	4	rings	ring	NOUN
ejpam-3408	1174	5	of	of	ADP
ejpam-3408	1174	6	self	self	NOUN
ejpam-3408	1174	7	-	-	PUNCT
ejpam-3408	1174	8	adjoint	adjoint	NOUN
ejpam-3408	1174	9	elements	element	NOUN
ejpam-3408	1174	10	.	.	PUNCT
ejpam-3408	1175	1	trans	trans	PROPN
ejpam-3408	1175	2	.	.	PUNCT
ejpam-3408	1176	1	amer	amer	PROPN
ejpam-3408	1176	2	.	.	PUNCT
ejpam-3408	1176	3	math	math	PROPN
ejpam-3408	1176	4	.	.	PUNCT
ejpam-3408	1177	1	soc	soc	PROPN
ejpam-3408	1177	2	.	.	PROPN
ejpam-3408	1177	3	,	,	PUNCT
ejpam-3408	1177	4	72:310–322	72:310–322	PROPN
ejpam-3408	1177	5	,	,	PUNCT
ejpam-3408	1177	6	1952	1952	NUM
ejpam-3408	1177	7	.	.	PUNCT
ejpam-3408	1178	1	[	[	X
ejpam-3408	1178	2	117	117	NUM
ejpam-3408	1178	3	]	]	PUNCT
ejpam-3408	1178	4	k.	k.	PROPN
ejpam-3408	1178	5	jayalakshmi	jayalakshmi	PROPN
ejpam-3408	1178	6	and	and	CCONJ
ejpam-3408	1178	7	s.	s.	PROPN
ejpam-3408	1178	8	madhavi	madhavi	PROPN
ejpam-3408	1178	9	latha	latha	PROPN
ejpam-3408	1178	10	.	.	PUNCT
ejpam-3408	1179	1	right	right	ADJ
ejpam-3408	1179	2	nucleus	nucleus	NOUN
ejpam-3408	1179	3	in	in	ADP
ejpam-3408	1179	4	generalized	generalized	ADJ
ejpam-3408	1179	5	right	right	ADJ
ejpam-3408	1179	6	alternative	alternative	ADJ
ejpam-3408	1179	7	rings	ring	NOUN
ejpam-3408	1179	8	.	.	PUNCT
ejpam-3408	1180	1	international	international	ADJ
ejpam-3408	1180	2	journal	journal	PROPN
ejpam-3408	1180	3	of	of	ADP
ejpam-3408	1180	4	research	research	NOUN
ejpam-3408	1180	5	-	-	PUNCT
ejpam-3408	1180	6	granthaalayah	granthaalayah	NOUN
ejpam-3408	1180	7	,	,	PUNCT
ejpam-3408	1180	8	3:1–12	3:1–12	NUM
ejpam-3408	1180	9	,	,	PUNCT
ejpam-3408	1180	10	2015	2015	NUM
ejpam-3408	1180	11	.	.	PUNCT
ejpam-3408	1181	1	[	[	X
ejpam-3408	1181	2	118	118	NUM
ejpam-3408	1181	3	]	]	PUNCT
ejpam-3408	1181	4	k.	k.	PROPN
ejpam-3408	1181	5	jayalakshmi	jayalakshmi	PROPN
ejpam-3408	1181	6	and	and	CCONJ
ejpam-3408	1181	7	c.	c.	PROPN
ejpam-3408	1181	8	manjula	manjula	PROPN
ejpam-3408	1181	9	.	.	PUNCT
ejpam-3408	1182	1	bol	bol	NOUN
ejpam-3408	1182	2	loops	loop	NOUN
ejpam-3408	1182	3	in	in	ADP
ejpam-3408	1182	4	nilpotent	nilpotent	ADJ
ejpam-3408	1182	5	alternative	alternative	ADJ
ejpam-3408	1182	6	loop	loop	NOUN
ejpam-3408	1182	7	ring	ring	NOUN
ejpam-3408	1182	8	.	.	PUNCT
ejpam-3408	1183	1	international	international	ADJ
ejpam-3408	1183	2	journal	journal	PROPN
ejpam-3408	1183	3	of	of	ADP
ejpam-3408	1183	4	statistika	statistika	NOUN
ejpam-3408	1183	5	and	and	CCONJ
ejpam-3408	1183	6	mathematika	mathematika	NOUN
ejpam-3408	1183	7	,	,	PUNCT
ejpam-3408	1183	8	10:56–60	10:56–60	NUM
ejpam-3408	1183	9	,	,	PUNCT
ejpam-3408	1183	10	2014	2014	NUM
ejpam-3408	1183	11	.	.	PUNCT
ejpam-3408	1184	1	[	[	X
ejpam-3408	1184	2	119	119	NUM
ejpam-3408	1184	3	]	]	PUNCT
ejpam-3408	1184	4	k.	k.	PROPN
ejpam-3408	1184	5	jayalakshmi	jayalakshmi	PROPN
ejpam-3408	1184	6	and	and	CCONJ
ejpam-3408	1184	7	c.	c.	PROPN
ejpam-3408	1184	8	manjula	manjula	PROPN
ejpam-3408	1184	9	.	.	PUNCT
ejpam-3408	1185	1	extra	extra	ADJ
ejpam-3408	1185	2	and	and	CCONJ
ejpam-3408	1185	3	alternative	alternative	ADJ
ejpam-3408	1185	4	loop	loop	NOUN
ejpam-3408	1185	5	rings	ring	NOUN
ejpam-3408	1185	6	.	.	PUNCT
ejpam-3408	1186	1	international	international	ADJ
ejpam-3408	1186	2	journal	journal	PROPN
ejpam-3408	1186	3	of	of	ADP
ejpam-3408	1186	4	scientific	scientific	ADJ
ejpam-3408	1186	5	and	and	CCONJ
ejpam-3408	1186	6	research	research	NOUN
ejpam-3408	1186	7	publications	publication	NOUN
ejpam-3408	1186	8	,	,	PUNCT
ejpam-3408	1186	9	4	4	NUM
ejpam-3408	1186	10	,	,	PUNCT
ejpam-3408	1186	11	2014	2014	NUM
ejpam-3408	1186	12	.	.	PUNCT
ejpam-3408	1187	1	[	[	X
ejpam-3408	1187	2	120	120	NUM
ejpam-3408	1187	3	]	]	X
ejpam-3408	1187	4	c.	c.	PROPN
ejpam-3408	1187	5	r.	r.	PROPN
ejpam-3408	1187	6	jordan	jordan	PROPN
ejpam-3408	1187	7	and	and	CCONJ
ejpam-3408	1187	8	d.	d.	PROPN
ejpam-3408	1187	9	a.	a.	PROPN
ejpam-3408	1187	10	jordan	jordan	PROPN
ejpam-3408	1187	11	.	.	PUNCT
ejpam-3408	1188	1	lie	lie	PROPN
ejpam-3408	1188	2	rings	ring	NOUN
ejpam-3408	1188	3	of	of	ADP
ejpam-3408	1188	4	derivations	derivation	NOUN
ejpam-3408	1188	5	of	of	ADP
ejpam-3408	1188	6	associative	associative	ADJ
ejpam-3408	1188	7	rings	ring	NOUN
ejpam-3408	1188	8	.	.	PUNCT
ejpam-3408	1189	1	j.	j.	PROPN
ejpam-3408	1189	2	lond	lond	PROPN
ejpam-3408	1189	3	.	.	PUNCT
ejpam-3408	1190	1	math	math	PROPN
ejpam-3408	1190	2	.	.	PUNCT
ejpam-3408	1191	1	soc	soc	PROPN
ejpam-3408	1191	2	.	.	PUNCT
ejpam-3408	1191	3	,	,	PUNCT
ejpam-3408	1191	4	2:33–41	2:33–41	NUM
ejpam-3408	1191	5	,	,	PUNCT
ejpam-3408	1191	6	1978	1978	NUM
ejpam-3408	1191	7	.	.	PUNCT
ejpam-3408	1192	1	[	[	X
ejpam-3408	1192	2	121	121	NUM
ejpam-3408	1192	3	]	]	PUNCT
ejpam-3408	1192	4	w.	w.	PROPN
ejpam-3408	1192	5	b.	b.	PROPN
ejpam-3408	1193	1	v.	v.	PROPN
ejpam-3408	1193	2	kandasamy	kandasamy	PROPN
ejpam-3408	1193	3	.	.	PUNCT
ejpam-3408	1194	1	on	on	ADP
ejpam-3408	1194	2	normal	normal	ADJ
ejpam-3408	1194	3	elements	element	NOUN
ejpam-3408	1194	4	in	in	ADP
ejpam-3408	1194	5	loop	loop	NOUN
ejpam-3408	1194	6	rings	ring	NOUN
ejpam-3408	1194	7	.	.	PUNCT
ejpam-3408	1195	1	ultra	ultra	ADJ
ejpam-3408	1195	2	scien	scien	NOUN
ejpam-3408	1195	3	.	.	PUNCT
ejpam-3408	1195	4	of	of	ADP
ejpam-3408	1195	5	phys	phy	NOUN
ejpam-3408	1195	6	.	.	PUNCT
ejpam-3408	1196	1	sci	sci	PROPN
ejpam-3408	1196	2	.	.	PROPN
ejpam-3408	1196	3	,	,	PUNCT
ejpam-3408	1196	4	4:210–212	4:210–212	NUM
ejpam-3408	1196	5	,	,	PUNCT
ejpam-3408	1196	6	1992	1992	NUM
ejpam-3408	1196	7	.	.	PUNCT
ejpam-3408	1197	1	[	[	X
ejpam-3408	1197	2	122	122	NUM
ejpam-3408	1197	3	]	]	X
ejpam-3408	1197	4	w.	w.	PROPN
ejpam-3408	1197	5	b.	b.	PROPN
ejpam-3408	1197	6	v.	v.	PROPN
ejpam-3408	1197	7	kandasamy	kandasamy	PROPN
ejpam-3408	1197	8	.	.	PUNCT
ejpam-3408	1198	1	on	on	ADP
ejpam-3408	1198	2	strictly	strictly	ADV
ejpam-3408	1198	3	right	right	ADJ
ejpam-3408	1198	4	loop	loop	NOUN
ejpam-3408	1198	5	rings	ring	NOUN
ejpam-3408	1198	6	.	.	PUNCT
ejpam-3408	1199	1	j.	j.	PROPN
ejpam-3408	1199	2	of	of	ADP
ejpam-3408	1199	3	harbin	harbin	PROPN
ejpam-3408	1199	4	inst	inst	PROPN
ejpam-3408	1199	5	.	.	PROPN
ejpam-3408	1199	6	of	of	ADP
ejpam-3408	1199	7	sci	sci	PROPN
ejpam-3408	1199	8	.	.	PROPN
ejpam-3408	1199	9	and	and	CCONJ
ejpam-3408	1199	10	tech	tech	NOUN
ejpam-3408	1199	11	.	.	PUNCT
ejpam-3408	1199	12	,	,	PUNCT
ejpam-3408	1199	13	18:116–118	18:116–118	PROPN
ejpam-3408	1199	14	,	,	PUNCT
ejpam-3408	1199	15	1994	1994	NUM
ejpam-3408	1199	16	.	.	PUNCT
ejpam-3408	1200	1	[	[	X
ejpam-3408	1200	2	123	123	NUM
ejpam-3408	1200	3	]	]	PUNCT
ejpam-3408	1200	4	w.	w.	PROPN
ejpam-3408	1200	5	b.	b.	PROPN
ejpam-3408	1200	6	v.	v.	PROPN
ejpam-3408	1200	7	kandasamy	kandasamy	PROPN
ejpam-3408	1200	8	.	.	PUNCT
ejpam-3408	1201	1	a	a	DET
ejpam-3408	1201	2	note	note	NOUN
ejpam-3408	1201	3	on	on	ADP
ejpam-3408	1201	4	the	the	DET
ejpam-3408	1201	5	modular	modular	ADJ
ejpam-3408	1201	6	loop	loop	NOUN
ejpam-3408	1201	7	ring	ring	NOUN
ejpam-3408	1201	8	of	of	ADP
ejpam-3408	1201	9	a	a	DET
ejpam-3408	1201	10	finite	finite	ADJ
ejpam-3408	1201	11	loop	loop	NOUN
ejpam-3408	1201	12	.	.	PUNCT
ejpam-3408	1202	1	opuscula	opuscula	PROPN
ejpam-3408	1202	2	math	math	PROPN
ejpam-3408	1202	3	.	.	PUNCT
ejpam-3408	1202	4	,	,	PUNCT
ejpam-3408	1203	1	15:109–112	15:109–112	PROPN
ejpam-3408	1203	2	,	,	PUNCT
ejpam-3408	1203	3	1995	1995	NUM
ejpam-3408	1203	4	.	.	PUNCT
ejpam-3408	1204	1	[	[	X
ejpam-3408	1204	2	124	124	NUM
ejpam-3408	1204	3	]	]	X
ejpam-3408	1204	4	w.	w.	PROPN
ejpam-3408	1204	5	b.	b.	PROPN
ejpam-3408	1205	1	v.	v.	ADP
ejpam-3408	1205	2	kandasamy	kandasamy	PROPN
ejpam-3408	1205	3	and	and	CCONJ
ejpam-3408	1205	4	j.	j.	PROPN
ejpam-3408	1205	5	m.	m.	PROPN
ejpam-3408	1205	6	parimala	parimala	PROPN
ejpam-3408	1205	7	kanthi	kanthi	PROPN
ejpam-3408	1205	8	.	.	PUNCT
ejpam-3408	1205	9	loop	loop	PROPN
ejpam-3408	1205	10	rings	ring	NOUN
ejpam-3408	1205	11	of	of	ADP
ejpam-3408	1205	12	jordan	jordan	PROPN
ejpam-3408	1205	13	rings	rings	PROPN
ejpam-3408	1205	14	.	.	PUNCT
ejpam-3408	1206	1	national	national	ADJ
ejpam-3408	1206	2	symposium	symposium	NOUN
ejpam-3408	1206	3	on	on	ADP
ejpam-3408	1206	4	mathematical	mathematical	ADJ
ejpam-3408	1206	5	methods	method	NOUN
ejpam-3408	1206	6	and	and	CCONJ
ejpam-3408	1206	7	applications	application	NOUN
ejpam-3408	1206	8	,	,	PUNCT
ejpam-3408	1206	9	indian	indian	PROPN
ejpam-3408	1206	10	institute	institute	PROPN
ejpam-3408	1206	11	of	of	ADP
ejpam-3408	1206	12	technology	technology	PROPN
ejpam-3408	1206	13	,	,	PUNCT
ejpam-3408	1206	14	madras	madra	NOUN
ejpam-3408	1206	15	,	,	PUNCT
ejpam-3408	1206	16	chennai	chennai	PROPN
ejpam-3408	1206	17	,	,	PUNCT
ejpam-3408	1206	18	tn	tn	PROPN
ejpam-3408	1206	19	,	,	PUNCT
ejpam-3408	1206	20	india	india	PROPN
ejpam-3408	1206	21	,	,	PUNCT
ejpam-3408	1206	22	2002	2002	NUM
ejpam-3408	1206	23	.	.	PUNCT
ejpam-3408	1207	1	[	[	X
ejpam-3408	1207	2	125	125	NUM
ejpam-3408	1207	3	]	]	PUNCT
ejpam-3408	1207	4	i.	i.	NOUN
ejpam-3408	1207	5	kaplansky	kaplansky	PROPN
ejpam-3408	1207	6	.	.	PUNCT
ejpam-3408	1208	1	topological	topological	ADJ
ejpam-3408	1208	2	rings	ring	NOUN
ejpam-3408	1208	3	.	.	PUNCT
ejpam-3408	1209	1	amer	amer	PROPN
ejpam-3408	1209	2	.	.	PUNCT
ejpam-3408	1210	1	j.	j.	PROPN
ejpam-3408	1210	2	math	math	PROPN
ejpam-3408	1210	3	.	.	PROPN
ejpam-3408	1210	4	,	,	PUNCT
ejpam-3408	1210	5	69:153–183	69:153–183	NUM
ejpam-3408	1210	6	,	,	PUNCT
ejpam-3408	1210	7	1947	1947	NUM
ejpam-3408	1210	8	.	.	PUNCT
ejpam-3408	1211	1	references	reference	NOUN
ejpam-3408	1211	2	400	400	NUM
ejpam-3408	1211	3	[	[	X
ejpam-3408	1211	4	126	126	NUM
ejpam-3408	1211	5	]	]	PUNCT
ejpam-3408	1211	6	i.	i.	NOUN
ejpam-3408	1211	7	kaplansky	kaplansky	PROPN
ejpam-3408	1211	8	.	.	PUNCT
ejpam-3408	1212	1	topological	topological	ADJ
ejpam-3408	1212	2	rings	ring	NOUN
ejpam-3408	1212	3	.	.	PUNCT
ejpam-3408	1213	1	bull	bull	NOUN
ejpam-3408	1213	2	.	.	PUNCT
ejpam-3408	1214	1	amer	amer	PROPN
ejpam-3408	1214	2	.	.	PUNCT
ejpam-3408	1214	3	math	math	PROPN
ejpam-3408	1214	4	.	.	PUNCT
ejpam-3408	1215	1	soc	soc	PROPN
ejpam-3408	1215	2	.	.	PUNCT
ejpam-3408	1215	3	,	,	PUNCT
ejpam-3408	1215	4	54:809–826	54:809–826	NUM
ejpam-3408	1215	5	,	,	PUNCT
ejpam-3408	1215	6	1948	1948	NUM
ejpam-3408	1215	7	.	.	PUNCT
ejpam-3408	1216	1	[	[	X
ejpam-3408	1216	2	127	127	NUM
ejpam-3408	1216	3	]	]	X
ejpam-3408	1216	4	i.	i.	NOUN
ejpam-3408	1216	5	kaplansky	kaplansky	PROPN
ejpam-3408	1216	6	.	.	PUNCT
ejpam-3408	1217	1	a	a	DET
ejpam-3408	1217	2	theorem	theorem	NOUN
ejpam-3408	1217	3	on	on	ADP
ejpam-3408	1217	4	division	division	NOUN
ejpam-3408	1217	5	rings	ring	NOUN
ejpam-3408	1217	6	.	.	PUNCT
ejpam-3408	1218	1	canad	canad	PROPN
ejpam-3408	1218	2	.	.	PUNCT
ejpam-3408	1219	1	j.	j.	PROPN
ejpam-3408	1219	2	math	math	PROPN
ejpam-3408	1219	3	.	.	PUNCT
ejpam-3408	1219	4	,	,	PUNCT
ejpam-3408	1219	5	3:290–292	3:290–292	NUM
ejpam-3408	1219	6	,	,	PUNCT
ejpam-3408	1219	7	1951	1951	NUM
ejpam-3408	1219	8	.	.	PUNCT
ejpam-3408	1220	1	[	[	X
ejpam-3408	1220	2	128	128	NUM
ejpam-3408	1220	3	]	]	X
ejpam-3408	1220	4	n.	n.	NOUN
ejpam-3408	1220	5	kawamoto	kawamoto	NOUN
ejpam-3408	1220	6	.	.	PUNCT
ejpam-3408	1221	1	on	on	ADP
ejpam-3408	1221	2	prime	prime	ADJ
ejpam-3408	1221	3	ideals	ideal	NOUN
ejpam-3408	1221	4	of	of	ADP
ejpam-3408	1221	5	lie	lie	NOUN
ejpam-3408	1221	6	algebras	algebras	PROPN
ejpam-3408	1221	7	.	.	PUNCT
ejpam-3408	1222	1	hiroshima	hiroshima	PROPN
ejpam-3408	1222	2	math	math	PROPN
ejpam-3408	1222	3	.	.	PUNCT
ejpam-3408	1223	1	j.	j.	PROPN
ejpam-3408	1223	2	,	,	PUNCT
ejpam-3408	1223	3	4:679–684	4:679–684	NUM
ejpam-3408	1223	4	,	,	PUNCT
ejpam-3408	1223	5	1974	1974	NUM
ejpam-3408	1223	6	.	.	PUNCT
ejpam-3408	1224	1	[	[	X
ejpam-3408	1224	2	129	129	NUM
ejpam-3408	1224	3	]	]	PUNCT
ejpam-3408	1224	4	e.	e.	PROPN
ejpam-3408	1224	5	i.	i.	PROPN
ejpam-3408	1224	6	khukhro	khukhro	PROPN
ejpam-3408	1224	7	.	.	PUNCT
ejpam-3408	1225	1	finite	finite	VERB
ejpam-3408	1225	2	p	p	NOUN
ejpam-3408	1225	3	-	-	PUNCT
ejpam-3408	1225	4	groups	group	NOUN
ejpam-3408	1225	5	admitting	admit	VERB
ejpam-3408	1225	6	an	an	DET
ejpam-3408	1225	7	automorphism	automorphism	NOUN
ejpam-3408	1225	8	of	of	ADP
ejpam-3408	1225	9	order	order	NOUN
ejpam-3408	1225	10	p	p	NOUN
ejpam-3408	1225	11	with	with	ADP
ejpam-3408	1225	12	a	a	DET
ejpam-3408	1225	13	small	small	ADJ
ejpam-3408	1225	14	number	number	NOUN
ejpam-3408	1225	15	of	of	ADP
ejpam-3408	1225	16	fixed	fix	VERB
ejpam-3408	1225	17	points	point	NOUN
ejpam-3408	1225	18	.	.	PUNCT
ejpam-3408	1226	1	math	math	NOUN
ejpam-3408	1226	2	.	.	PUNCT
ejpam-3408	1227	1	notes	note	NOUN
ejpam-3408	1227	2	,	,	PUNCT
ejpam-3408	1227	3	38:867–870	38:867–870	PROPN
ejpam-3408	1227	4	,	,	PUNCT
ejpam-3408	1227	5	1986	1986	NUM
ejpam-3408	1227	6	.	.	PUNCT
ejpam-3408	1228	1	[	[	X
ejpam-3408	1228	2	130	130	NUM
ejpam-3408	1228	3	]	]	PUNCT
ejpam-3408	1228	4	e.	e.	PROPN
ejpam-3408	1228	5	i.	i.	PROPN
ejpam-3408	1228	6	khukhro	khukhro	PROPN
ejpam-3408	1228	7	.	.	PUNCT
ejpam-3408	1229	1	lie	lie	NOUN
ejpam-3408	1229	2	rings	ring	NOUN
ejpam-3408	1229	3	and	and	CCONJ
ejpam-3408	1229	4	lie	lie	NOUN
ejpam-3408	1229	5	groups	group	NOUN
ejpam-3408	1229	6	admitting	admit	VERB
ejpam-3408	1229	7	an	an	DET
ejpam-3408	1229	8	almost	almost	ADV
ejpam-3408	1229	9	regular	regular	ADJ
ejpam-3408	1229	10	automorphism	automorphism	NOUN
ejpam-3408	1229	11	of	of	ADP
ejpam-3408	1229	12	prime	prime	ADJ
ejpam-3408	1229	13	order	order	NOUN
ejpam-3408	1229	14	.	.	PUNCT
ejpam-3408	1230	1	sb	sb	PROPN
ejpam-3408	1230	2	.	.	PROPN
ejpam-3408	1230	3	math	math	PROPN
ejpam-3408	1230	4	.	.	PUNCT
ejpam-3408	1230	5	,	,	PUNCT
ejpam-3408	1230	6	71:51–63	71:51–63	NUM
ejpam-3408	1230	7	,	,	PUNCT
ejpam-3408	1230	8	1992	1992	NUM
ejpam-3408	1230	9	.	.	PUNCT
ejpam-3408	1231	1	[	[	X
ejpam-3408	1231	2	131	131	NUM
ejpam-3408	1231	3	]	]	X
ejpam-3408	1231	4	e.	e.	PROPN
ejpam-3408	1231	5	i.	i.	PROPN
ejpam-3408	1231	6	khukhro	khukhro	PROPN
ejpam-3408	1231	7	and	and	CCONJ
ejpam-3408	1231	8	n.	n.	PROPN
ejpam-3408	1231	9	yu	yu	PROPN
ejpam-3408	1231	10	.	.	PUNCT
ejpam-3408	1231	11	makarenko	makarenko	PROPN
ejpam-3408	1231	12	.	.	PROPN
ejpam-3408	1232	1	lie	lie	PROPN
ejpam-3408	1232	2	rings	ring	NOUN
ejpam-3408	1232	3	with	with	ADP
ejpam-3408	1232	4	almost	almost	ADV
ejpam-3408	1232	5	regular	regular	ADJ
ejpam-3408	1232	6	automorphisms	automorphism	NOUN
ejpam-3408	1232	7	.	.	PUNCT
ejpam-3408	1233	1	j.	j.	PROPN
ejpam-3408	1233	2	algebra	algebra	PROPN
ejpam-3408	1233	3	,	,	PUNCT
ejpam-3408	1233	4	264:641–664	264:641–664	NUM
ejpam-3408	1233	5	,	,	PUNCT
ejpam-3408	1233	6	2003	2003	NUM
ejpam-3408	1233	7	.	.	PUNCT
ejpam-3408	1234	1	[	[	X
ejpam-3408	1234	2	132	132	NUM
ejpam-3408	1234	3	]	]	X
ejpam-3408	1234	4	e.	e.	PROPN
ejpam-3408	1234	5	i.	i.	PROPN
ejpam-3408	1234	6	khukhro	khukhro	PROPN
ejpam-3408	1234	7	and	and	CCONJ
ejpam-3408	1234	8	n.	n.	PROPN
ejpam-3408	1234	9	yu	yu	PROPN
ejpam-3408	1234	10	.	.	PUNCT
ejpam-3408	1235	1	makarenko	makarenko	PROPN
ejpam-3408	1235	2	.	.	PUNCT
ejpam-3408	1236	1	finite	finite	PROPN
ejpam-3408	1236	2	groups	group	NOUN
ejpam-3408	1236	3	and	and	CCONJ
ejpam-3408	1236	4	lie	lie	NOUN
ejpam-3408	1236	5	rings	ring	NOUN
ejpam-3408	1236	6	with	with	ADP
ejpam-3408	1236	7	a	a	DET
ejpam-3408	1236	8	metacyclic	metacyclic	ADJ
ejpam-3408	1236	9	frobenius	frobenius	NOUN
ejpam-3408	1236	10	group	group	NOUN
ejpam-3408	1236	11	of	of	ADP
ejpam-3408	1236	12	automorphisms	automorphisms	PROPN
ejpam-3408	1236	13	.	.	PUNCT
ejpam-3408	1237	1	j.	j.	PROPN
ejpam-3408	1237	2	algebra	algebra	PROPN
ejpam-3408	1237	3	,	,	PUNCT
ejpam-3408	1237	4	386:77–104	386:77–104	PROPN
ejpam-3408	1237	5	,	,	PUNCT
ejpam-3408	1237	6	2013	2013	NUM
ejpam-3408	1237	7	.	.	PUNCT
ejpam-3408	1238	1	[	[	X
ejpam-3408	1238	2	133	133	NUM
ejpam-3408	1238	3	]	]	PUNCT
ejpam-3408	1238	4	e.	e.	PROPN
ejpam-3408	1238	5	kleineelo	kleineelo	PROPN
ejpam-3408	1238	6	.	.	PUNCT
ejpam-3408	1239	1	right	right	ADJ
ejpam-3408	1239	2	alternative	alternative	ADJ
ejpam-3408	1239	3	rings	ring	NOUN
ejpam-3408	1239	4	.	.	PUNCT
ejpam-3408	1240	1	proc	proc	PROPN
ejpam-3408	1240	2	.	.	PUNCT
ejpam-3408	1241	1	amer	amer	PROPN
ejpam-3408	1241	2	.	.	PUNCT
ejpam-3408	1241	3	math	math	PROPN
ejpam-3408	1241	4	.	.	PUNCT
ejpam-3408	1242	1	soc	soc	PROPN
ejpam-3408	1242	2	.	.	PUNCT
ejpam-3408	1242	3	,	,	PUNCT
ejpam-3408	1242	4	4:939–944	4:939–944	PROPN
ejpam-3408	1242	5	,	,	PUNCT
ejpam-3408	1242	6	1953	1953	NUM
ejpam-3408	1242	7	.	.	PUNCT
ejpam-3408	1243	1	[	[	X
ejpam-3408	1243	2	134	134	NUM
ejpam-3408	1243	3	]	]	PUNCT
ejpam-3408	1243	4	e.	e.	PROPN
ejpam-3408	1243	5	kleinfeld	kleinfeld	PROPN
ejpam-3408	1243	6	.	.	PUNCT
ejpam-3408	1244	1	right	right	ADJ
ejpam-3408	1244	2	alternative	alternative	ADJ
ejpam-3408	1244	3	rings	ring	NOUN
ejpam-3408	1244	4	.	.	PUNCT
ejpam-3408	1245	1	proc	proc	PROPN
ejpam-3408	1245	2	.	.	PUNCT
ejpam-3408	1246	1	amer	amer	PROPN
ejpam-3408	1246	2	.	.	PUNCT
ejpam-3408	1246	3	math	math	PROPN
ejpam-3408	1246	4	.	.	PUNCT
ejpam-3408	1247	1	soc	soc	PROPN
ejpam-3408	1247	2	.	.	PUNCT
ejpam-3408	1247	3	,	,	PUNCT
ejpam-3408	1247	4	4(6):939–944	4(6):939–944	NUM
ejpam-3408	1247	5	,	,	PUNCT
ejpam-3408	1247	6	1953	1953	NUM
ejpam-3408	1247	7	.	.	PUNCT
ejpam-3408	1248	1	[	[	X
ejpam-3408	1248	2	135	135	NUM
ejpam-3408	1248	3	]	]	X
ejpam-3408	1248	4	e.	e.	PROPN
ejpam-3408	1248	5	kleinfeld	kleinfeld	PROPN
ejpam-3408	1248	6	.	.	PUNCT
ejpam-3408	1249	1	simple	simple	ADJ
ejpam-3408	1249	2	alternative	alternative	ADJ
ejpam-3408	1249	3	rings	ring	NOUN
ejpam-3408	1249	4	.	.	PUNCT
ejpam-3408	1250	1	ann	ann	PROPN
ejpam-3408	1250	2	.	.	PROPN
ejpam-3408	1250	3	of	of	ADP
ejpam-3408	1250	4	math	math	NOUN
ejpam-3408	1250	5	.	.	PUNCT
ejpam-3408	1250	6	,	,	PUNCT
ejpam-3408	1250	7	58:544–547	58:544–547	PROPN
ejpam-3408	1250	8	,	,	PUNCT
ejpam-3408	1250	9	1953	1953	NUM
ejpam-3408	1250	10	.	.	PUNCT
ejpam-3408	1251	1	[	[	X
ejpam-3408	1251	2	136	136	NUM
ejpam-3408	1251	3	]	]	PUNCT
ejpam-3408	1251	4	e.	e.	PROPN
ejpam-3408	1251	5	kleinfeld	kleinfeld	PROPN
ejpam-3408	1251	6	.	.	PUNCT
ejpam-3408	1252	1	generalization	generalization	NOUN
ejpam-3408	1252	2	of	of	ADP
ejpam-3408	1252	3	a	a	DET
ejpam-3408	1252	4	theorem	theorem	NOUN
ejpam-3408	1252	5	on	on	ADP
ejpam-3408	1252	6	simple	simple	ADJ
ejpam-3408	1252	7	alternative	alternative	ADJ
ejpam-3408	1252	8	rings	ring	NOUN
ejpam-3408	1252	9	.	.	PUNCT
ejpam-3408	1253	1	port	port	NOUN
ejpam-3408	1253	2	.	.	PUNCT
ejpam-3408	1254	1	math	math	NOUN
ejpam-3408	1254	2	.	.	PUNCT
ejpam-3408	1254	3	,	,	PUNCT
ejpam-3408	1254	4	14:91–94	14:91–94	NUM
ejpam-3408	1254	5	,	,	PUNCT
ejpam-3408	1254	6	1955	1955	NUM
ejpam-3408	1254	7	.	.	PUNCT
ejpam-3408	1255	1	[	[	X
ejpam-3408	1255	2	137	137	NUM
ejpam-3408	1255	3	]	]	PUNCT
ejpam-3408	1255	4	e.	e.	PROPN
ejpam-3408	1255	5	kleinfeld	kleinfeld	PROPN
ejpam-3408	1255	6	.	.	PUNCT
ejpam-3408	1256	1	a	a	DET
ejpam-3408	1256	2	characterization	characterization	NOUN
ejpam-3408	1256	3	of	of	ADP
ejpam-3408	1256	4	the	the	DET
ejpam-3408	1256	5	cayley	cayley	ADJ
ejpam-3408	1256	6	numbers	number	NOUN
ejpam-3408	1256	7	.	.	PUNCT
ejpam-3408	1257	1	studies	study	NOUN
ejpam-3408	1257	2	in	in	ADP
ejpam-3408	1257	3	modern	modern	ADJ
ejpam-3408	1257	4	algebra	algebra	NOUN
ejpam-3408	1257	5	,	,	PUNCT
ejpam-3408	1257	6	maa	maa	PROPN
ejpam-3408	1257	7	studies	study	NOUN
ejpam-3408	1257	8	in	in	ADP
ejpam-3408	1257	9	mathematics	mathematic	NOUN
ejpam-3408	1257	10	,	,	PUNCT
ejpam-3408	1257	11	2:126–143	2:126–143	NUM
ejpam-3408	1257	12	,	,	PUNCT
ejpam-3408	1257	13	1963	1963	NUM
ejpam-3408	1257	14	.	.	PUNCT
ejpam-3408	1258	1	[	[	X
ejpam-3408	1258	2	138	138	NUM
ejpam-3408	1258	3	]	]	X
ejpam-3408	1258	4	e.	e.	PROPN
ejpam-3408	1258	5	kleinfeld	kleinfeld	PROPN
ejpam-3408	1258	6	.	.	PUNCT
ejpam-3408	1259	1	middle	middle	ADJ
ejpam-3408	1259	2	nucleus	nucleus	NOUN
ejpam-3408	1259	3	-	-	PUNCT
ejpam-3408	1259	4	center	center	NOUN
ejpam-3408	1259	5	in	in	ADP
ejpam-3408	1259	6	a	a	DET
ejpam-3408	1259	7	simple	simple	ADJ
ejpam-3408	1259	8	jordan	jordan	PROPN
ejpam-3408	1259	9	ring	ring	PROPN
ejpam-3408	1259	10	.	.	PUNCT
ejpam-3408	1260	1	j.	j.	PROPN
ejpam-3408	1260	2	algebra	algebra	PROPN
ejpam-3408	1260	3	,	,	PUNCT
ejpam-3408	1260	4	1:40–42	1:40–42	NUM
ejpam-3408	1260	5	,	,	PUNCT
ejpam-3408	1260	6	1964	1964	NUM
ejpam-3408	1260	7	.	.	PUNCT
ejpam-3408	1261	1	[	[	X
ejpam-3408	1261	2	139	139	NUM
ejpam-3408	1261	3	]	]	X
ejpam-3408	1261	4	e.	e.	PROPN
ejpam-3408	1261	5	kleinfeld	kleinfeld	PROPN
ejpam-3408	1261	6	.	.	PUNCT
ejpam-3408	1262	1	on	on	ADP
ejpam-3408	1262	2	right	right	ADJ
ejpam-3408	1262	3	alternative	alternative	ADJ
ejpam-3408	1262	4	rings	ring	NOUN
ejpam-3408	1262	5	without	without	ADP
ejpam-3408	1262	6	proper	proper	ADJ
ejpam-3408	1262	7	right	right	ADJ
ejpam-3408	1262	8	ideals	ideal	NOUN
ejpam-3408	1262	9	.	.	PUNCT
ejpam-3408	1263	1	pacific	pacific	PROPN
ejpam-3408	1263	2	j.	j.	PROPN
ejpam-3408	1263	3	math	math	PROPN
ejpam-3408	1263	4	.	.	PUNCT
ejpam-3408	1263	5	,	,	PUNCT
ejpam-3408	1263	6	31:87–102	31:87–102	NUM
ejpam-3408	1263	7	,	,	PUNCT
ejpam-3408	1263	8	1969	1969	NUM
ejpam-3408	1263	9	.	.	PUNCT
ejpam-3408	1264	1	[	[	X
ejpam-3408	1264	2	140	140	NUM
ejpam-3408	1264	3	]	]	X
ejpam-3408	1264	4	e.	e.	PROPN
ejpam-3408	1264	5	kleinfeld	kleinfeld	PROPN
ejpam-3408	1264	6	.	.	PUNCT
ejpam-3408	1265	1	generalization	generalization	NOUN
ejpam-3408	1265	2	of	of	ADP
ejpam-3408	1265	3	alternative	alternative	PROPN
ejpam-3408	1265	4	rings	rings	PROPN
ejpam-3408	1265	5	ii	ii	PROPN
ejpam-3408	1265	6	.	.	PUNCT
ejpam-3408	1266	1	j.	j.	PROPN
ejpam-3408	1266	2	algebra	algebra	PROPN
ejpam-3408	1266	3	,	,	PUNCT
ejpam-3408	1266	4	18:326–339	18:326–339	PROPN
ejpam-3408	1266	5	,	,	PUNCT
ejpam-3408	1266	6	1971	1971	NUM
ejpam-3408	1266	7	.	.	PUNCT
ejpam-3408	1267	1	[	[	X
ejpam-3408	1267	2	141	141	NUM
ejpam-3408	1267	3	]	]	PUNCT
ejpam-3408	1267	4	e.	e.	PROPN
ejpam-3408	1267	5	kleinfeld	kleinfeld	PROPN
ejpam-3408	1267	6	.	.	PUNCT
ejpam-3408	1268	1	on	on	ADP
ejpam-3408	1268	2	a	a	DET
ejpam-3408	1268	3	generalization	generalization	NOUN
ejpam-3408	1268	4	of	of	ADP
ejpam-3408	1268	5	alternative	alternative	ADJ
ejpam-3408	1268	6	and	and	CCONJ
ejpam-3408	1268	7	lie	lie	NOUN
ejpam-3408	1268	8	rings	ring	NOUN
ejpam-3408	1268	9	.	.	PUNCT
ejpam-3408	1269	1	trans	trans	PROPN
ejpam-3408	1269	2	.	.	PUNCT
ejpam-3408	1270	1	amer	amer	PROPN
ejpam-3408	1270	2	.	.	PUNCT
ejpam-3408	1270	3	math	math	PROPN
ejpam-3408	1270	4	.	.	PUNCT
ejpam-3408	1271	1	soc	soc	PROPN
ejpam-3408	1271	2	.	.	PUNCT
ejpam-3408	1271	3	,	,	PUNCT
ejpam-3408	1271	4	155:385–395	155:385–395	NUM
ejpam-3408	1271	5	,	,	PUNCT
ejpam-3408	1271	6	1971	1971	NUM
ejpam-3408	1271	7	.	.	PUNCT
ejpam-3408	1272	1	[	[	X
ejpam-3408	1272	2	142	142	NUM
ejpam-3408	1272	3	]	]	PUNCT
ejpam-3408	1272	4	e.	e.	PROPN
ejpam-3408	1272	5	kleinfeld	kleinfeld	PROPN
ejpam-3408	1272	6	.	.	PUNCT
ejpam-3408	1273	1	anti	anti	ADJ
ejpam-3408	1273	2	-	-	ADJ
ejpam-3408	1273	3	commutative	commutative	ADJ
ejpam-3408	1273	4	elements	element	NOUN
ejpam-3408	1273	5	in	in	ADP
ejpam-3408	1273	6	alternative	alternative	ADJ
ejpam-3408	1273	7	rings	ring	NOUN
ejpam-3408	1273	8	.	.	PUNCT
ejpam-3408	1274	1	j.	j.	PROPN
ejpam-3408	1274	2	algebra	algebra	PROPN
ejpam-3408	1274	3	,	,	PUNCT
ejpam-3408	1274	4	83:65–71	83:65–71	PROPN
ejpam-3408	1274	5	,	,	PUNCT
ejpam-3408	1274	6	1983	1983	NUM
ejpam-3408	1274	7	.	.	PUNCT
ejpam-3408	1275	1	[	[	X
ejpam-3408	1275	2	143	143	X
ejpam-3408	1275	3	]	]	X
ejpam-3408	1275	4	e.	e.	PROPN
ejpam-3408	1275	5	kleinfeld	kleinfeld	PROPN
ejpam-3408	1275	6	and	and	CCONJ
ejpam-3408	1275	7	h.	h.	PROPN
ejpam-3408	1275	8	f.	f.	PROPN
ejpam-3408	1275	9	smith	smith	PROPN
ejpam-3408	1275	10	.	.	PUNCT
ejpam-3408	1276	1	on	on	ADP
ejpam-3408	1276	2	prime	prime	ADJ
ejpam-3408	1276	3	right	right	ADJ
ejpam-3408	1276	4	alternative	alternative	ADJ
ejpam-3408	1276	5	rings	ring	NOUN
ejpam-3408	1276	6	with	with	ADP
ejpam-3408	1276	7	commutators	commutator	NOUN
ejpam-3408	1276	8	in	in	ADP
ejpam-3408	1276	9	the	the	DET
ejpam-3408	1276	10	left	left	ADJ
ejpam-3408	1276	11	nucleus	nucleus	NOUN
ejpam-3408	1276	12	.	.	PUNCT
ejpam-3408	1277	1	bull	bull	PROPN
ejpam-3408	1277	2	.	.	PUNCT
ejpam-3408	1278	1	aust	aust	PROPN
ejpam-3408	1278	2	.	.	PUNCT
ejpam-3408	1278	3	math	math	PROPN
ejpam-3408	1278	4	.	.	PUNCT
ejpam-3408	1279	1	soc	soc	PROPN
ejpam-3408	1279	2	.	.	PUNCT
ejpam-3408	1279	3	,	,	PUNCT
ejpam-3408	1279	4	49:287–298	49:287–298	PROPN
ejpam-3408	1279	5	,	,	PUNCT
ejpam-3408	1279	6	1994	1994	NUM
ejpam-3408	1279	7	.	.	PUNCT
ejpam-3408	1280	1	[	[	X
ejpam-3408	1280	2	144	144	NUM
ejpam-3408	1280	3	]	]	X
ejpam-3408	1280	4	l.	l.	PROPN
ejpam-3408	1280	5	a.	a.	PROPN
ejpam-3408	1280	6	kokoris	kokoris	PROPN
ejpam-3408	1280	7	.	.	PUNCT
ejpam-3408	1281	1	some	some	DET
ejpam-3408	1281	2	nodal	nodal	ADJ
ejpam-3408	1281	3	non	non	ADJ
ejpam-3408	1281	4	-	-	ADJ
ejpam-3408	1281	5	commutative	commutative	ADJ
ejpam-3408	1281	6	jordan	jordan	PROPN
ejpam-3408	1281	7	algebras	algebras	PROPN
ejpam-3408	1281	8	.	.	PUNCT
ejpam-3408	1282	1	proc	proc	PROPN
ejpam-3408	1282	2	.	.	PUNCT
ejpam-3408	1283	1	amer	amer	PROPN
ejpam-3408	1283	2	.	.	PUNCT
ejpam-3408	1283	3	math	math	PROPN
ejpam-3408	1283	4	.	.	PUNCT
ejpam-3408	1284	1	soc	soc	PROPN
ejpam-3408	1284	2	.	.	PUNCT
ejpam-3408	1284	3	,	,	PUNCT
ejpam-3408	1284	4	9:164–166	9:164–166	PROPN
ejpam-3408	1284	5	,	,	PUNCT
ejpam-3408	1284	6	1958	1958	NUM
ejpam-3408	1284	7	.	.	PUNCT
ejpam-3408	1285	1	references	reference	NOUN
ejpam-3408	1285	2	401	401	NUM
ejpam-3408	1285	3	[	[	X
ejpam-3408	1285	4	145	145	NUM
ejpam-3408	1285	5	]	]	PUNCT
ejpam-3408	1285	6	a.	a.	NOUN
ejpam-3408	1285	7	i.	i.	PROPN
ejpam-3408	1285	8	kostrikin	kostrikin	PROPN
ejpam-3408	1285	9	.	.	PUNCT
ejpam-3408	1286	1	lie	lie	PROPN
ejpam-3408	1286	2	rings	ring	NOUN
ejpam-3408	1286	3	satisfying	satisfy	VERB
ejpam-3408	1286	4	the	the	DET
ejpam-3408	1286	5	engel	engel	PROPN
ejpam-3408	1286	6	condition	condition	NOUN
ejpam-3408	1286	7	.	.	PUNCT
ejpam-3408	1287	1	izvestiya	izvestiya	PROPN
ejpam-3408	1287	2	akademii	akademii	PROPN
ejpam-3408	1287	3	nauk	nauk	PROPN
ejpam-3408	1287	4	ussr	ussr	PROPN
ejpam-3408	1287	5	,	,	PUNCT
ejpam-3408	1287	6	21:515–540	21:515–540	PROPN
ejpam-3408	1287	7	,	,	PUNCT
ejpam-3408	1287	8	1957	1957	NUM
ejpam-3408	1287	9	.	.	PUNCT
ejpam-3408	1288	1	[	[	X
ejpam-3408	1288	2	146	146	NUM
ejpam-3408	1288	3	]	]	PUNCT
ejpam-3408	1288	4	a.	a.	NOUN
ejpam-3408	1288	5	i.	i.	PROPN
ejpam-3408	1288	6	kostrikin	kostrikin	PROPN
ejpam-3408	1288	7	.	.	PUNCT
ejpam-3408	1289	1	on	on	ADP
ejpam-3408	1289	2	the	the	DET
ejpam-3408	1289	3	relation	relation	NOUN
ejpam-3408	1289	4	between	between	ADP
ejpam-3408	1289	5	periodic	periodic	ADJ
ejpam-3408	1289	6	groups	group	NOUN
ejpam-3408	1289	7	and	and	CCONJ
ejpam-3408	1289	8	lie	lie	NOUN
ejpam-3408	1289	9	rings	ring	NOUN
ejpam-3408	1289	10	.	.	PUNCT
ejpam-3408	1290	1	izvestiya	izvestiya	PROPN
ejpam-3408	1290	2	akademii	akademii	PROPN
ejpam-3408	1290	3	nauk	nauk	PROPN
ejpam-3408	1290	4	ussr	ussr	PROPN
ejpam-3408	1290	5	,	,	PUNCT
ejpam-3408	1290	6	21:289–310	21:289–310	NUM
ejpam-3408	1290	7	,	,	PUNCT
ejpam-3408	1290	8	1957	1957	NUM
ejpam-3408	1290	9	.	.	PUNCT
ejpam-3408	1291	1	[	[	X
ejpam-3408	1291	2	147	147	NUM
ejpam-3408	1291	3	]	]	PUNCT
ejpam-3408	1291	4	a.	a.	NOUN
ejpam-3408	1291	5	i.	i.	PROPN
ejpam-3408	1291	6	kostrikin	kostrikin	PROPN
ejpam-3408	1291	7	.	.	PUNCT
ejpam-3408	1292	1	on	on	ADP
ejpam-3408	1292	2	the	the	DET
ejpam-3408	1292	3	burnside	burnside	NOUN
ejpam-3408	1292	4	problem	problem	NOUN
ejpam-3408	1292	5	.	.	PUNCT
ejpam-3408	1293	1	dokl	dokl	NOUN
ejpam-3408	1293	2	.	.	PUNCT
ejpam-3408	1293	3	akad	akad	PROPN
ejpam-3408	1293	4	.	.	PUNCT
ejpam-3408	1294	1	nauk	nauk	PROPN
ejpam-3408	1294	2	sssr	sssr	PROPN
ejpam-3408	1294	3	,	,	PUNCT
ejpam-3408	1294	4	119:1081–1084	119:1081–1084	NUM
ejpam-3408	1294	5	,	,	PUNCT
ejpam-3408	1294	6	1958	1958	NUM
ejpam-3408	1294	7	.	.	PUNCT
ejpam-3408	1295	1	[	[	X
ejpam-3408	1295	2	148	148	NUM
ejpam-3408	1295	3	]	]	PUNCT
ejpam-3408	1295	4	v.	v.	ADP
ejpam-3408	1295	5	a.	a.	NOUN
ejpam-3408	1295	6	kreknin	kreknin	PROPN
ejpam-3408	1295	7	.	.	PUNCT
ejpam-3408	1296	1	the	the	DET
ejpam-3408	1296	2	solubility	solubility	NOUN
ejpam-3408	1296	3	of	of	ADP
ejpam-3408	1296	4	lie	lie	NOUN
ejpam-3408	1296	5	algebras	algebra	NOUN
ejpam-3408	1296	6	with	with	ADP
ejpam-3408	1296	7	regular	regular	ADJ
ejpam-3408	1296	8	automorphisms	automorphism	NOUN
ejpam-3408	1296	9	of	of	ADP
ejpam-3408	1296	10	finite	finite	ADJ
ejpam-3408	1296	11	period	period	NOUN
ejpam-3408	1296	12	.	.	PUNCT
ejpam-3408	1297	1	dokl	dokl	NOUN
ejpam-3408	1297	2	.	.	PUNCT
ejpam-3408	1298	1	math	math	NOUN
ejpam-3408	1298	2	.	.	PUNCT
ejpam-3408	1299	1	,	,	PUNCT
ejpam-3408	1299	2	4:683–685	4:683–685	PROPN
ejpam-3408	1299	3	,	,	PUNCT
ejpam-3408	1299	4	1963	1963	NUM
ejpam-3408	1299	5	.	.	PUNCT
ejpam-3408	1300	1	[	[	X
ejpam-3408	1300	2	149	149	NUM
ejpam-3408	1300	3	]	]	X
ejpam-3408	1300	4	v.	v.	ADP
ejpam-3408	1300	5	a.	a.	PROPN
ejpam-3408	1300	6	kreknin	kreknin	PROPN
ejpam-3408	1300	7	.	.	PUNCT
ejpam-3408	1301	1	solvability	solvability	NOUN
ejpam-3408	1301	2	of	of	ADP
ejpam-3408	1301	3	a	a	DET
ejpam-3408	1301	4	lie	lie	NOUN
ejpam-3408	1301	5	algebra	algebra	NOUN
ejpam-3408	1301	6	containing	contain	VERB
ejpam-3408	1301	7	a	a	DET
ejpam-3408	1301	8	regular	regular	ADJ
ejpam-3408	1301	9	automorphism	automorphism	NOUN
ejpam-3408	1301	10	.	.	PUNCT
ejpam-3408	1302	1	sib	sib	PROPN
ejpam-3408	1302	2	.	.	PUNCT
ejpam-3408	1302	3	math	math	PROPN
ejpam-3408	1302	4	.	.	PUNCT
ejpam-3408	1303	1	j.	j.	PROPN
ejpam-3408	1303	2	,	,	PUNCT
ejpam-3408	1303	3	8:536–537	8:536–537	NUM
ejpam-3408	1303	4	,	,	PUNCT
ejpam-3408	1303	5	1967	1967	NUM
ejpam-3408	1303	6	.	.	PUNCT
ejpam-3408	1304	1	[	[	X
ejpam-3408	1304	2	150	150	NUM
ejpam-3408	1304	3	]	]	PUNCT
ejpam-3408	1304	4	v.	v.	ADP
ejpam-3408	1304	5	a.	a.	NOUN
ejpam-3408	1304	6	kreknin	kreknin	PROPN
ejpam-3408	1304	7	and	and	CCONJ
ejpam-3408	1304	8	a.i	a.i	PROPN
ejpam-3408	1304	9	.	.	PROPN
ejpam-3408	1304	10	kostrikin	kostrikin	PROPN
ejpam-3408	1304	11	.	.	PUNCT
ejpam-3408	1304	12	lie	lie	PROPN
ejpam-3408	1304	13	algebras	algebra	NOUN
ejpam-3408	1304	14	with	with	ADP
ejpam-3408	1304	15	regular	regular	ADJ
ejpam-3408	1304	16	automorphisms	automorphism	NOUN
ejpam-3408	1304	17	.	.	PUNCT
ejpam-3408	1305	1	dokl	dokl	NOUN
ejpam-3408	1305	2	.	.	PUNCT
ejpam-3408	1306	1	math	math	NOUN
ejpam-3408	1306	2	.	.	PUNCT
ejpam-3408	1306	3	,	,	PUNCT
ejpam-3408	1307	1	4:355–358	4:355–358	NOUN
ejpam-3408	1307	2	,	,	PUNCT
ejpam-3408	1307	3	1963	1963	NUM
ejpam-3408	1307	4	.	.	PUNCT
ejpam-3408	1308	1	[	[	X
ejpam-3408	1308	2	151	151	NUM
ejpam-3408	1308	3	]	]	PUNCT
ejpam-3408	1308	4	k.	k.	PROPN
ejpam-3408	1308	5	kunen	kunen	PROPN
ejpam-3408	1308	6	.	.	PROPN
ejpam-3408	1308	7	alternative	alternative	PROPN
ejpam-3408	1308	8	loop	loop	PROPN
ejpam-3408	1308	9	rings	ring	NOUN
ejpam-3408	1308	10	.	.	PUNCT
ejpam-3408	1309	1	comm	comm	NOUN
ejpam-3408	1309	2	.	.	PUNCT
ejpam-3408	1310	1	algebra	algebra	PROPN
ejpam-3408	1310	2	,	,	PUNCT
ejpam-3408	1310	3	26:557–564	26:557–564	NUM
ejpam-3408	1310	4	,	,	PUNCT
ejpam-3408	1310	5	1998	1998	NUM
ejpam-3408	1310	6	.	.	PUNCT
ejpam-3408	1311	1	[	[	X
ejpam-3408	1311	2	152	152	NUM
ejpam-3408	1311	3	]	]	PUNCT
ejpam-3408	1311	4	e.	e.	PROPN
ejpam-3408	1311	5	n.	n.	PROPN
ejpam-3408	1311	6	kuzmin	kuzmin	PROPN
ejpam-3408	1311	7	.	.	PUNCT
ejpam-3408	1312	1	on	on	ADP
ejpam-3408	1312	2	anti	anti	ADJ
ejpam-3408	1312	3	-	-	ADJ
ejpam-3408	1312	4	commutative	commutative	ADJ
ejpam-3408	1312	5	algebras	algebra	NOUN
ejpam-3408	1312	6	satisfying	satisfy	VERB
ejpam-3408	1312	7	the	the	DET
ejpam-3408	1312	8	engel	engel	PROPN
ejpam-3408	1312	9	condition	condition	NOUN
ejpam-3408	1312	10	.	.	PUNCT
ejpam-3408	1313	1	sibirsk	sibirsk	NOUN
ejpam-3408	1313	2	.	.	PUNCT
ejpam-3408	1314	1	mat	mat	NOUN
ejpam-3408	1314	2	.	.	PUNCT
ejpam-3408	1315	1	zh	zh	PROPN
ejpam-3408	1315	2	.	.	PROPN
ejpam-3408	1315	3	,	,	PUNCT
ejpam-3408	1315	4	8:1026–1034	8:1026–1034	NUM
ejpam-3408	1315	5	,	,	PUNCT
ejpam-3408	1315	6	1967	1967	NUM
ejpam-3408	1315	7	.	.	PUNCT
ejpam-3408	1316	1	[	[	X
ejpam-3408	1316	2	153	153	NUM
ejpam-3408	1316	3	]	]	PUNCT
ejpam-3408	1316	4	f.	f.	PROPN
ejpam-3408	1316	5	kuzucuoglu	kuzucuoglu	PROPN
ejpam-3408	1316	6	.	.	PUNCT
ejpam-3408	1317	1	isomorphisms	isomorphism	NOUN
ejpam-3408	1317	2	of	of	ADP
ejpam-3408	1317	3	the	the	DET
ejpam-3408	1317	4	unitriangular	unitriangular	ADJ
ejpam-3408	1317	5	groups	group	NOUN
ejpam-3408	1317	6	and	and	CCONJ
ejpam-3408	1317	7	associated	associate	VERB
ejpam-3408	1317	8	lie	lie	NOUN
ejpam-3408	1317	9	rings	ring	NOUN
ejpam-3408	1317	10	for	for	ADP
ejpam-3408	1317	11	the	the	DET
ejpam-3408	1317	12	exceptional	exceptional	ADJ
ejpam-3408	1317	13	dimensions	dimension	NOUN
ejpam-3408	1317	14	.	.	PUNCT
ejpam-3408	1318	1	acta	acta	PROPN
ejpam-3408	1318	2	appl	appl	PROPN
ejpam-3408	1318	3	.	.	PROPN
ejpam-3408	1318	4	math	math	PROPN
ejpam-3408	1318	5	.	.	PUNCT
ejpam-3408	1318	6	,	,	PUNCT
ejpam-3408	1318	7	85:209–213	85:209–213	NUM
ejpam-3408	1318	8	,	,	PUNCT
ejpam-3408	1318	9	2005	2005	NUM
ejpam-3408	1318	10	.	.	PUNCT
ejpam-3408	1319	1	[	[	X
ejpam-3408	1319	2	154	154	NUM
ejpam-3408	1319	3	]	]	PUNCT
ejpam-3408	1319	4	m.	m.	NOUN
ejpam-3408	1319	5	g.	g.	PROPN
ejpam-3408	1319	6	lozano	lozano	PROPN
ejpam-3408	1319	7	l.	l.	PROPN
ejpam-3408	1319	8	a.	a.	PROPN
ejpam-3408	1319	9	crdenas	crdenas	PROPN
ejpam-3408	1319	10	and	and	CCONJ
ejpam-3408	1319	11	j.	j.	PROPN
ejpam-3408	1319	12	r.	r.	PROPN
ejpam-3408	1319	13	calvio	calvio	PROPN
ejpam-3408	1319	14	.	.	PUNCT
ejpam-3408	1320	1	the	the	DET
ejpam-3408	1320	2	maximal	maximal	ADJ
ejpam-3408	1320	3	left	leave	VERB
ejpam-3408	1320	4	quotient	quotient	NOUN
ejpam-3408	1320	5	rings	ring	NOUN
ejpam-3408	1320	6	of	of	ADP
ejpam-3408	1320	7	alternative	alternative	ADJ
ejpam-3408	1320	8	rings	ring	NOUN
ejpam-3408	1320	9	.	.	PUNCT
ejpam-3408	1321	1	comm	comm	NOUN
ejpam-3408	1321	2	.	.	PUNCT
ejpam-3408	1322	1	algebra	algebra	NOUN
ejpam-3408	1322	2	,	,	PUNCT
ejpam-3408	1322	3	33:1031–1042	33:1031–1042	NUM
ejpam-3408	1322	4	,	,	PUNCT
ejpam-3408	1322	5	2005	2005	NUM
ejpam-3408	1322	6	.	.	PUNCT
ejpam-3408	1323	1	[	[	X
ejpam-3408	1323	2	155	155	NUM
ejpam-3408	1323	3	]	]	PUNCT
ejpam-3408	1323	4	m.	m.	NOUN
ejpam-3408	1323	5	g.	g.	PROPN
ejpam-3408	1323	6	lozano	lozano	PROPN
ejpam-3408	1323	7	l.	l.	PROPN
ejpam-3408	1323	8	a.	a.	PROPN
ejpam-3408	1323	9	crdenas	crdenas	PROPN
ejpam-3408	1323	10	and	and	CCONJ
ejpam-3408	1323	11	j.	j.	PROPN
ejpam-3408	1323	12	r.	r.	PROPN
ejpam-3408	1323	13	calvio	calvio	PROPN
ejpam-3408	1323	14	.	.	PUNCT
ejpam-3408	1324	1	on	on	ADP
ejpam-3408	1324	2	quotient	quotient	NOUN
ejpam-3408	1324	3	rings	ring	NOUN
ejpam-3408	1324	4	in	in	ADP
ejpam-3408	1324	5	alternative	alternative	ADJ
ejpam-3408	1324	6	rings	ring	NOUN
ejpam-3408	1324	7	.	.	PUNCT
ejpam-3408	1325	1	comm	comm	NOUN
ejpam-3408	1325	2	.	.	PUNCT
ejpam-3408	1326	1	algebra	algebra	PROPN
ejpam-3408	1326	2	,	,	PUNCT
ejpam-3408	1326	3	42:5464–5473	42:5464–5473	NUM
ejpam-3408	1326	4	,	,	PUNCT
ejpam-3408	1326	5	2014	2014	NUM
ejpam-3408	1326	6	.	.	PUNCT
ejpam-3408	1327	1	[	[	X
ejpam-3408	1327	2	156	156	NUM
ejpam-3408	1327	3	]	]	X
ejpam-3408	1327	4	l.	l.	PROPN
ejpam-3408	1327	5	sbitnevai	sbitnevai	PROPN
ejpam-3408	1327	6	l.	l.	PROPN
ejpam-3408	1327	7	sabinin	sabinin	PROPN
ejpam-3408	1327	8	and	and	CCONJ
ejpam-3408	1327	9	p.	p.	PROPN
ejpam-3408	1327	10	shestakov	shestakov	PROPN
ejpam-3408	1327	11	.	.	PUNCT
ejpam-3408	1328	1	non	non	ADJ
ejpam-3408	1328	2	-	-	ADJ
ejpam-3408	1328	3	associative	associative	ADJ
ejpam-3408	1328	4	algebra	algebra	NOUN
ejpam-3408	1328	5	and	and	CCONJ
ejpam-3408	1328	6	its	its	PRON
ejpam-3408	1328	7	applications	application	NOUN
ejpam-3408	1328	8	.	.	PUNCT
ejpam-3408	1329	1	taylor	taylor	PROPN
ejpam-3408	1329	2	francis	francis	PROPN
ejpam-3408	1329	3	/	/	SYM
ejpam-3408	1329	4	crc	crc	PROPN
ejpam-3408	1329	5	press	press	PROPN
ejpam-3408	1329	6	,	,	PUNCT
ejpam-3408	1329	7	new	new	PROPN
ejpam-3408	1329	8	york	york	PROPN
ejpam-3408	1329	9	,	,	PUNCT
ejpam-3408	1329	10	2005	2005	NUM
ejpam-3408	1329	11	.	.	PUNCT
ejpam-3408	1330	1	[	[	X
ejpam-3408	1330	2	157	157	NUM
ejpam-3408	1330	3	]	]	X
ejpam-3408	1330	4	c.	c.	NOUN
ejpam-3408	1330	5	lanski	lanski	PROPN
ejpam-3408	1330	6	and	and	CCONJ
ejpam-3408	1330	7	s.	s.	PROPN
ejpam-3408	1330	8	montgomery	montgomery	PROPN
ejpam-3408	1330	9	.	.	PUNCT
ejpam-3408	1331	1	lie	lie	NOUN
ejpam-3408	1331	2	structure	structure	NOUN
ejpam-3408	1331	3	of	of	ADP
ejpam-3408	1331	4	prime	prime	ADJ
ejpam-3408	1331	5	rings	ring	NOUN
ejpam-3408	1331	6	of	of	ADP
ejpam-3408	1331	7	characteristic	characteristic	ADJ
ejpam-3408	1331	8	2	2	NUM
ejpam-3408	1331	9	.	.	PUNCT
ejpam-3408	1331	10	pacific	pacific	PROPN
ejpam-3408	1331	11	j.	j.	PROPN
ejpam-3408	1331	12	math	math	PROPN
ejpam-3408	1331	13	.	.	PUNCT
ejpam-3408	1331	14	,	,	PUNCT
ejpam-3408	1332	1	42:117–136	42:117–136	PROPN
ejpam-3408	1332	2	,	,	PUNCT
ejpam-3408	1332	3	1972	1972	NUM
ejpam-3408	1332	4	.	.	PUNCT
ejpam-3408	1333	1	[	[	X
ejpam-3408	1333	2	158	158	NUM
ejpam-3408	1333	3	]	]	X
ejpam-3408	1333	4	m.	m.	NOUN
ejpam-3408	1333	5	lazard	lazard	PROPN
ejpam-3408	1333	6	.	.	PUNCT
ejpam-3408	1334	1	sur	sur	PROPN
ejpam-3408	1334	2	les	les	PROPN
ejpam-3408	1334	3	algebres	algebres	PROPN
ejpam-3408	1334	4	enveloppantes	enveloppante	VERB
ejpam-3408	1334	5	universelles	universelle	NOUN
ejpam-3408	1334	6	des	des	PROPN
ejpam-3408	1334	7	certaines	certaines	PROPN
ejpam-3408	1334	8	algebres	algebres	PROPN
ejpam-3408	1334	9	de	de	X
ejpam-3408	1334	10	lie	lie	PROPN
ejpam-3408	1334	11	.	.	PUNCT
ejpam-3408	1335	1	publications	publication	NOUN
ejpam-3408	1335	2	scientifiques	scientifique	NOUN
ejpam-3408	1335	3	de	de	X
ejpam-3408	1335	4	l’universite	l’universite	ADJ
ejpam-3408	1335	5	d’alger	d’alger	NOUN
ejpam-3408	1335	6	,	,	PUNCT
ejpam-3408	1335	7	2(a1):281–294	2(a1):281–294	NUM
ejpam-3408	1335	8	,	,	PUNCT
ejpam-3408	1335	9	1954	1954	NUM
ejpam-3408	1335	10	.	.	PUNCT
ejpam-3408	1336	1	[	[	X
ejpam-3408	1336	2	159	159	NUM
ejpam-3408	1336	3	]	]	PUNCT
ejpam-3408	1336	4	m.	m.	NOUN
ejpam-3408	1336	5	lazard	lazard	PROPN
ejpam-3408	1336	6	.	.	PUNCT
ejpam-3408	1337	1	sur	sur	PROPN
ejpam-3408	1337	2	les	les	PROPN
ejpam-3408	1337	3	groupes	groupes	PROPN
ejpam-3408	1337	4	nilpotents	nilpotent	NOUN
ejpam-3408	1337	5	et	et	PROPN
ejpam-3408	1337	6	les	les	X
ejpam-3408	1337	7	anneaux	anneaux	PROPN
ejpam-3408	1337	8	de	de	X
ejpam-3408	1337	9	lie	lie	PROPN
ejpam-3408	1337	10	.	.	PUNCT
ejpam-3408	1338	1	ann	ann	PROPN
ejpam-3408	1338	2	.	.	PUNCT
ejpam-3408	1339	1	sci	sci	PROPN
ejpam-3408	1339	2	.	.	PUNCT
ejpam-3408	1340	1	ec	ec	PROPN
ejpam-3408	1340	2	.	.	PUNCT
ejpam-3408	1341	1	norm	norm	PROPN
ejpam-3408	1341	2	.	.	PUNCT
ejpam-3408	1342	1	super	super	ADJ
ejpam-3408	1342	2	.	.	PROPN
ejpam-3408	1342	3	,	,	PUNCT
ejpam-3408	1342	4	71:101–190	71:101–190	NUM
ejpam-3408	1342	5	,	,	PUNCT
ejpam-3408	1342	6	1954	1954	NUM
ejpam-3408	1342	7	.	.	PUNCT
ejpam-3408	1343	1	[	[	X
ejpam-3408	1343	2	160	160	NUM
ejpam-3408	1343	3	]	]	X
ejpam-3408	1343	4	r.	r.	PROPN
ejpam-3408	1343	5	lewand	lewand	PROPN
ejpam-3408	1343	6	.	.	PUNCT
ejpam-3408	1344	1	hereditary	hereditary	ADJ
ejpam-3408	1344	2	radicals	radical	NOUN
ejpam-3408	1344	3	in	in	ADP
ejpam-3408	1344	4	jordan	jordan	PROPN
ejpam-3408	1344	5	rings	rings	PROPN
ejpam-3408	1344	6	.	.	PUNCT
ejpam-3408	1345	1	proc	proc	PROPN
ejpam-3408	1345	2	.	.	PUNCT
ejpam-3408	1346	1	amer	amer	PROPN
ejpam-3408	1346	2	.	.	PUNCT
ejpam-3408	1346	3	math	math	PROPN
ejpam-3408	1346	4	.	.	PUNCT
ejpam-3408	1347	1	soc	soc	PROPN
ejpam-3408	1347	2	.	.	PUNCT
ejpam-3408	1347	3	,	,	PUNCT
ejpam-3408	1348	1	33:302–306	33:302–306	NUM
ejpam-3408	1348	2	,	,	PUNCT
ejpam-3408	1348	3	1972	1972	NUM
ejpam-3408	1348	4	.	.	PUNCT
ejpam-3408	1349	1	[	[	X
ejpam-3408	1349	2	161	161	NUM
ejpam-3408	1349	3	]	]	PUNCT
ejpam-3408	1349	4	j.	j.	PROPN
ejpam-3408	1349	5	a.	a.	PROPN
ejpam-3408	1349	6	loustao	loustao	PROPN
ejpam-3408	1349	7	.	.	PUNCT
ejpam-3408	1350	1	radical	radical	ADJ
ejpam-3408	1350	2	extensions	extension	NOUN
ejpam-3408	1350	3	of	of	ADP
ejpam-3408	1350	4	jordan	jordan	PROPN
ejpam-3408	1350	5	rings	rings	PROPN
ejpam-3408	1350	6	.	.	PUNCT
ejpam-3408	1351	1	j.	j.	PROPN
ejpam-3408	1351	2	algebra	algebra	PROPN
ejpam-3408	1351	3	,	,	PUNCT
ejpam-3408	1351	4	30:1–11	30:1–11	NUM
ejpam-3408	1351	5	,	,	PUNCT
ejpam-3408	1351	6	1974	1974	NUM
ejpam-3408	1351	7	.	.	PUNCT
ejpam-3408	1351	8	references	reference	NOUN
ejpam-3408	1351	9	402	402	NUM
ejpam-3408	1351	10	[	[	X
ejpam-3408	1351	11	162	162	NUM
ejpam-3408	1351	12	]	]	PUNCT
ejpam-3408	1351	13	m.	m.	NOUN
ejpam-3408	1351	14	g.	g.	PROPN
ejpam-3408	1351	15	lozano	lozano	PROPN
ejpam-3408	1351	16	and	and	CCONJ
ejpam-3408	1351	17	m.	m.	PROPN
ejpam-3408	1351	18	s.	s.	PROPN
ejpam-3408	1351	19	molina	molina	PROPN
ejpam-3408	1351	20	.	.	PUNCT
ejpam-3408	1352	1	left	leave	VERB
ejpam-3408	1352	2	quotient	quotient	NOUN
ejpam-3408	1352	3	rings	ring	NOUN
ejpam-3408	1352	4	of	of	ADP
ejpam-3408	1352	5	alternative	alternative	ADJ
ejpam-3408	1352	6	rings	ring	NOUN
ejpam-3408	1352	7	.	.	PUNCT
ejpam-3408	1353	1	j.	j.	PROPN
ejpam-3408	1353	2	algebra	algebra	PROPN
ejpam-3408	1353	3	appl	appl	PROPN
ejpam-3408	1353	4	.	.	PROPN
ejpam-3408	1353	5	,	,	PUNCT
ejpam-3408	1353	6	6:71–102	6:71–102	NUM
ejpam-3408	1353	7	,	,	PUNCT
ejpam-3408	1353	8	2007	2007	NUM
ejpam-3408	1353	9	.	.	PUNCT
ejpam-3408	1354	1	[	[	X
ejpam-3408	1354	2	163	163	NUM
ejpam-3408	1354	3	]	]	PUNCT
ejpam-3408	1354	4	k.	k.	PROPN
ejpam-3408	1354	5	kunen	kunen	PROPN
ejpam-3408	1354	6	m.	m.	PROPN
ejpam-3408	1354	7	k.	k.	PROPN
ejpam-3408	1354	8	kinyon	kinyon	PROPN
ejpam-3408	1354	9	and	and	CCONJ
ejpam-3408	1354	10	j.	j.	PROPN
ejpam-3408	1354	11	d.	d.	PROPN
ejpam-3408	1354	12	phillips	phillips	PROPN
ejpam-3408	1354	13	.	.	PUNCT
ejpam-3408	1355	1	strongly	strongly	ADV
ejpam-3408	1355	2	right	right	ADJ
ejpam-3408	1355	3	alternative	alternative	ADJ
ejpam-3408	1355	4	rings	ring	NOUN
ejpam-3408	1355	5	and	and	CCONJ
ejpam-3408	1355	6	bol	bol	NOUN
ejpam-3408	1355	7	loops	loop	NOUN
ejpam-3408	1355	8	.	.	PUNCT
ejpam-3408	1356	1	arxiv	arxiv	PROPN
ejpam-3408	1356	2	preprint	preprint	NOUN
ejpam-3408	1356	3	math/0508005	math/0508005	NOUN
ejpam-3408	1356	4	,	,	PUNCT
ejpam-3408	1356	5	2005	2005	NUM
ejpam-3408	1356	6	.	.	PUNCT
ejpam-3408	1357	1	[	[	X
ejpam-3408	1357	2	164	164	NUM
ejpam-3408	1357	3	]	]	X
ejpam-3408	1357	4	i.	i.	PROPN
ejpam-3408	1357	5	macdonald	macdonald	PROPN
ejpam-3408	1357	6	.	.	PUNCT
ejpam-3408	1358	1	on	on	ADP
ejpam-3408	1358	2	certain	certain	ADJ
ejpam-3408	1358	3	varieties	variety	NOUN
ejpam-3408	1358	4	of	of	ADP
ejpam-3408	1358	5	groups	group	NOUN
ejpam-3408	1358	6	.	.	PUNCT
ejpam-3408	1359	1	math	math	NOUN
ejpam-3408	1359	2	.	.	PUNCT
ejpam-3408	1360	1	z.	z.	PROPN
ejpam-3408	1360	2	,	,	PUNCT
ejpam-3408	1360	3	76:270–282	76:270–282	PROPN
ejpam-3408	1360	4	,	,	PUNCT
ejpam-3408	1360	5	1961	1961	NUM
ejpam-3408	1360	6	.	.	PUNCT
ejpam-3408	1361	1	[	[	X
ejpam-3408	1361	2	165	165	NUM
ejpam-3408	1361	3	]	]	PUNCT
ejpam-3408	1361	4	i.	i.	PROPN
ejpam-3408	1361	5	macdonald	macdonald	PROPN
ejpam-3408	1361	6	.	.	PUNCT
ejpam-3408	1362	1	on	on	ADP
ejpam-3408	1362	2	certain	certain	ADJ
ejpam-3408	1362	3	varieties	variety	NOUN
ejpam-3408	1362	4	of	of	ADP
ejpam-3408	1362	5	groups	groups	PROPN
ejpam-3408	1362	6	ii	ii	PROPN
ejpam-3408	1362	7	.	.	PUNCT
ejpam-3408	1362	8	math	math	PROPN
ejpam-3408	1362	9	.	.	PUNCT
ejpam-3408	1363	1	z.	z.	PROPN
ejpam-3408	1363	2	,	,	PUNCT
ejpam-3408	1363	3	78:175–188	78:175–188	NUM
ejpam-3408	1363	4	,	,	PUNCT
ejpam-3408	1363	5	1962	1962	NUM
ejpam-3408	1363	6	.	.	PUNCT
ejpam-3408	1364	1	[	[	X
ejpam-3408	1364	2	166	166	NUM
ejpam-3408	1364	3	]	]	X
ejpam-3408	1364	4	w.	w.	PROPN
ejpam-3408	1364	5	magnus	magnus	PROPN
ejpam-3408	1364	6	.	.	PUNCT
ejpam-3408	1365	1	uber	uber	PROPN
ejpam-3408	1365	2	beziehungen	beziehungen	PROPN
ejpam-3408	1365	3	zwischen	zwischen	PROPN
ejpam-3408	1365	4	hoheren	hoheren	PROPN
ejpam-3408	1365	5	kommutatoren	kommutatoren	PROPN
ejpam-3408	1365	6	.	.	PUNCT
ejpam-3408	1366	1	journal	journal	PROPN
ejpam-3408	1366	2	fur	fur	NOUN
ejpam-3408	1366	3	die	die	VERB
ejpam-3408	1366	4	reine	reine	PROPN
ejpam-3408	1366	5	und	und	PROPN
ejpam-3408	1366	6	angewandte	angewandte	PROPN
ejpam-3408	1366	7	mathematik	mathematik	PROPN
ejpam-3408	1366	8	,	,	PUNCT
ejpam-3408	1366	9	117:105–115	117:105–115	NUM
ejpam-3408	1366	10	,	,	PUNCT
ejpam-3408	1366	11	1937	1937	NUM
ejpam-3408	1366	12	.	.	PUNCT
ejpam-3408	1367	1	[	[	X
ejpam-3408	1367	2	167	167	NUM
ejpam-3408	1367	3	]	]	X
ejpam-3408	1367	4	n.	n.	PROPN
ejpam-3408	1367	5	yu	yu	PROPN
ejpam-3408	1367	6	.	.	PUNCT
ejpam-3408	1368	1	makarenko	makarenko	PROPN
ejpam-3408	1368	2	.	.	PUNCT
ejpam-3408	1369	1	finite	finite	VERB
ejpam-3408	1369	2	2	2	NUM
ejpam-3408	1369	3	-	-	PUNCT
ejpam-3408	1369	4	groups	group	NOUN
ejpam-3408	1369	5	with	with	ADP
ejpam-3408	1369	6	automorphisms	automorphism	NOUN
ejpam-3408	1369	7	of	of	ADP
ejpam-3408	1369	8	order	order	NOUN
ejpam-3408	1369	9	4	4	NUM
ejpam-3408	1369	10	.	.	PUNCT
ejpam-3408	1370	1	algebra	algebra	NOUN
ejpam-3408	1370	2	logic	logic	NOUN
ejpam-3408	1370	3	,	,	PUNCT
ejpam-3408	1370	4	40:47–54	40:47–54	NUM
ejpam-3408	1370	5	,	,	PUNCT
ejpam-3408	1370	6	2001	2001	NUM
ejpam-3408	1370	7	.	.	PUNCT
ejpam-3408	1371	1	[	[	X
ejpam-3408	1371	2	168	168	NUM
ejpam-3408	1371	3	]	]	X
ejpam-3408	1371	4	n.	n.	PROPN
ejpam-3408	1371	5	yu	yu	PROPN
ejpam-3408	1371	6	.	.	PROPN
ejpam-3408	1371	7	makarenko	makarenko	PROPN
ejpam-3408	1371	8	.	.	PUNCT
ejpam-3408	1372	1	a	a	DET
ejpam-3408	1372	2	nilpotent	nilpotent	ADJ
ejpam-3408	1372	3	ideal	ideal	NOUN
ejpam-3408	1372	4	in	in	ADP
ejpam-3408	1372	5	the	the	DET
ejpam-3408	1372	6	lie	lie	NOUN
ejpam-3408	1372	7	rings	ring	NOUN
ejpam-3408	1372	8	with	with	ADP
ejpam-3408	1372	9	automorphisms	automorphism	NOUN
ejpam-3408	1372	10	of	of	ADP
ejpam-3408	1372	11	prime	prime	ADJ
ejpam-3408	1372	12	order	order	NOUN
ejpam-3408	1372	13	.	.	PUNCT
ejpam-3408	1373	1	sib	sib	PROPN
ejpam-3408	1373	2	.	.	PUNCT
ejpam-3408	1373	3	math	math	PROPN
ejpam-3408	1373	4	.	.	PUNCT
ejpam-3408	1374	1	j.	j.	PROPN
ejpam-3408	1374	2	,	,	PUNCT
ejpam-3408	1374	3	46:1097–1107	46:1097–1107	NUM
ejpam-3408	1374	4	,	,	PUNCT
ejpam-3408	1374	5	2005	2005	NUM
ejpam-3408	1374	6	.	.	PUNCT
ejpam-3408	1375	1	[	[	X
ejpam-3408	1375	2	169	169	NUM
ejpam-3408	1375	3	]	]	X
ejpam-3408	1375	4	n.	n.	PROPN
ejpam-3408	1375	5	yu	yu	PROPN
ejpam-3408	1375	6	.	.	PROPN
ejpam-3408	1375	7	makarenko	makarenko	PROPN
ejpam-3408	1375	8	and	and	CCONJ
ejpam-3408	1375	9	e.	e.	PROPN
ejpam-3408	1375	10	i.	i.	PROPN
ejpam-3408	1375	11	khukhro	khukhro	PROPN
ejpam-3408	1375	12	.	.	PUNCT
ejpam-3408	1376	1	nilpotent	nilpotent	ADJ
ejpam-3408	1376	2	groups	group	NOUN
ejpam-3408	1376	3	admitting	admit	VERB
ejpam-3408	1376	4	an	an	DET
ejpam-3408	1376	5	almost	almost	ADV
ejpam-3408	1376	6	regular	regular	ADJ
ejpam-3408	1376	7	automorphism	automorphism	NOUN
ejpam-3408	1376	8	of	of	ADP
ejpam-3408	1376	9	order	order	NOUN
ejpam-3408	1376	10	four	four	NUM
ejpam-3408	1376	11	.	.	PUNCT
ejpam-3408	1377	1	algebra	algebra	NOUN
ejpam-3408	1377	2	logic	logic	NOUN
ejpam-3408	1377	3	,	,	PUNCT
ejpam-3408	1377	4	35:176–187	35:176–187	PROPN
ejpam-3408	1377	5	,	,	PUNCT
ejpam-3408	1377	6	1996	1996	NUM
ejpam-3408	1377	7	.	.	PUNCT
ejpam-3408	1378	1	[	[	X
ejpam-3408	1378	2	170	170	NUM
ejpam-3408	1378	3	]	]	X
ejpam-3408	1378	4	n.	n.	PROPN
ejpam-3408	1378	5	yu	yu	PROPN
ejpam-3408	1378	6	.	.	PROPN
ejpam-3408	1378	7	makarenko	makarenko	PROPN
ejpam-3408	1378	8	and	and	CCONJ
ejpam-3408	1378	9	e.	e.	PROPN
ejpam-3408	1378	10	i.	i.	PROPN
ejpam-3408	1378	11	khukhro	khukhro	PROPN
ejpam-3408	1378	12	.	.	PUNCT
ejpam-3408	1379	1	on	on	ADP
ejpam-3408	1379	2	lie	lie	NOUN
ejpam-3408	1379	3	rings	ring	NOUN
ejpam-3408	1379	4	admitting	admit	VERB
ejpam-3408	1379	5	an	an	DET
ejpam-3408	1379	6	automorphism	automorphism	NOUN
ejpam-3408	1379	7	of	of	ADP
ejpam-3408	1379	8	order	order	NOUN
ejpam-3408	1379	9	4	4	NUM
ejpam-3408	1379	10	with	with	ADP
ejpam-3408	1379	11	few	few	ADJ
ejpam-3408	1379	12	fixed	fix	VERB
ejpam-3408	1379	13	points	point	NOUN
ejpam-3408	1379	14	.	.	PUNCT
ejpam-3408	1380	1	algebra	algebra	NOUN
ejpam-3408	1380	2	logic	logic	NOUN
ejpam-3408	1380	3	,	,	PUNCT
ejpam-3408	1380	4	35:21–43	35:21–43	NUM
ejpam-3408	1380	5	,	,	PUNCT
ejpam-3408	1380	6	1996	1996	NUM
ejpam-3408	1380	7	.	.	PUNCT
ejpam-3408	1381	1	[	[	X
ejpam-3408	1381	2	171	171	NUM
ejpam-3408	1381	3	]	]	X
ejpam-3408	1381	4	n.	n.	PROPN
ejpam-3408	1381	5	yu	yu	PROPN
ejpam-3408	1381	6	.	.	PROPN
ejpam-3408	1381	7	makarenko	makarenko	PROPN
ejpam-3408	1381	8	and	and	CCONJ
ejpam-3408	1381	9	e.	e.	PROPN
ejpam-3408	1381	10	i.	i.	PROPN
ejpam-3408	1381	11	khukhro	khukhro	PROPN
ejpam-3408	1381	12	.	.	PUNCT
ejpam-3408	1382	1	lie	lie	NOUN
ejpam-3408	1382	2	rings	ring	NOUN
ejpam-3408	1382	3	admitting	admit	VERB
ejpam-3408	1382	4	automorphisms	automorphism	NOUN
ejpam-3408	1382	5	of	of	ADP
ejpam-3408	1382	6	order	order	NOUN
ejpam-3408	1382	7	4	4	NUM
ejpam-3408	1382	8	with	with	ADP
ejpam-3408	1382	9	few	few	ADJ
ejpam-3408	1382	10	fixed	fix	VERB
ejpam-3408	1382	11	points	point	NOUN
ejpam-3408	1382	12	ii	ii	PROPN
ejpam-3408	1382	13	.	.	PUNCT
ejpam-3408	1383	1	algebra	algebra	PROPN
ejpam-3408	1383	2	logic	logic	NOUN
ejpam-3408	1383	3	,	,	PUNCT
ejpam-3408	1383	4	37:78–91	37:78–91	NUM
ejpam-3408	1383	5	,	,	PUNCT
ejpam-3408	1383	6	1998	1998	NUM
ejpam-3408	1383	7	.	.	PUNCT
ejpam-3408	1384	1	[	[	X
ejpam-3408	1384	2	172	172	NUM
ejpam-3408	1384	3	]	]	X
ejpam-3408	1384	4	n.	n.	PROPN
ejpam-3408	1384	5	yu	yu	PROPN
ejpam-3408	1384	6	.	.	PROPN
ejpam-3408	1384	7	makarenko	makarenko	PROPN
ejpam-3408	1384	8	and	and	CCONJ
ejpam-3408	1384	9	e.	e.	PROPN
ejpam-3408	1384	10	i.	i.	PROPN
ejpam-3408	1384	11	khukhro	khukhro	PROPN
ejpam-3408	1384	12	.	.	PUNCT
ejpam-3408	1385	1	almost	almost	ADV
ejpam-3408	1385	2	solvability	solvability	NOUN
ejpam-3408	1385	3	of	of	ADP
ejpam-3408	1385	4	lie	lie	NOUN
ejpam-3408	1385	5	algebras	algebra	NOUN
ejpam-3408	1385	6	with	with	ADP
ejpam-3408	1385	7	almost	almost	ADV
ejpam-3408	1385	8	regular	regular	ADJ
ejpam-3408	1385	9	automorphisms	automorphism	NOUN
ejpam-3408	1385	10	.	.	PUNCT
ejpam-3408	1386	1	dokl	dokl	NOUN
ejpam-3408	1386	2	.	.	PUNCT
ejpam-3408	1387	1	math	math	NOUN
ejpam-3408	1387	2	.	.	PUNCT
ejpam-3408	1387	3	,	,	PUNCT
ejpam-3408	1388	1	68:325–326	68:325–326	NUM
ejpam-3408	1388	2	,	,	PUNCT
ejpam-3408	1388	3	2003	2003	NUM
ejpam-3408	1388	4	.	.	PUNCT
ejpam-3408	1389	1	[	[	X
ejpam-3408	1389	2	173	173	NUM
ejpam-3408	1389	3	]	]	X
ejpam-3408	1389	4	n.	n.	PROPN
ejpam-3408	1389	5	yu	yu	PROPN
ejpam-3408	1389	6	.	.	PROPN
ejpam-3408	1389	7	makarenko	makarenko	PROPN
ejpam-3408	1389	8	and	and	CCONJ
ejpam-3408	1389	9	e.	e.	PROPN
ejpam-3408	1389	10	i.	i.	PROPN
ejpam-3408	1389	11	khukhro	khukhro	PROPN
ejpam-3408	1389	12	.	.	PUNCT
ejpam-3408	1390	1	almost	almost	ADV
ejpam-3408	1390	2	solubility	solubility	NOUN
ejpam-3408	1390	3	of	of	ADP
ejpam-3408	1390	4	lie	lie	NOUN
ejpam-3408	1390	5	algebras	algebra	VERB
ejpam-3408	1390	6	with	with	ADP
ejpam-3408	1390	7	almost	almost	ADV
ejpam-3408	1390	8	regular	regular	ADJ
ejpam-3408	1390	9	automorphisms	automorphism	NOUN
ejpam-3408	1390	10	.	.	PUNCT
ejpam-3408	1391	1	j.	j.	PROPN
ejpam-3408	1391	2	algebra	algebra	PROPN
ejpam-3408	1391	3	,	,	PUNCT
ejpam-3408	1391	4	227:370–407	227:370–407	NUM
ejpam-3408	1391	5	,	,	PUNCT
ejpam-3408	1391	6	2004	2004	NUM
ejpam-3408	1391	7	.	.	PUNCT
ejpam-3408	1392	1	[	[	X
ejpam-3408	1392	2	174	174	NUM
ejpam-3408	1392	3	]	]	PUNCT
ejpam-3408	1392	4	a.	a.	NOUN
ejpam-3408	1392	5	i.	i.	PROPN
ejpam-3408	1392	6	malcev	malcev	PROPN
ejpam-3408	1392	7	.	.	PUNCT
ejpam-3408	1393	1	on	on	ADP
ejpam-3408	1393	2	a	a	DET
ejpam-3408	1393	3	representation	representation	NOUN
ejpam-3408	1393	4	of	of	ADP
ejpam-3408	1393	5	non	non	ADJ
ejpam-3408	1393	6	-	-	ADJ
ejpam-3408	1393	7	associative	associative	ADJ
ejpam-3408	1393	8	rings	ring	NOUN
ejpam-3408	1393	9	.	.	PUNCT
ejpam-3408	1394	1	uspekhi	uspekhi	PROPN
ejpam-3408	1394	2	mat	mat	PROPN
ejpam-3408	1394	3	.	.	PUNCT
ejpam-3408	1394	4	nauk	nauk	PROPN
ejpam-3408	1394	5	,	,	PUNCT
ejpam-3408	1394	6	1:181–185	1:181–185	NUM
ejpam-3408	1394	7	,	,	PUNCT
ejpam-3408	1394	8	1952	1952	NUM
ejpam-3408	1394	9	.	.	PUNCT
ejpam-3408	1395	1	[	[	X
ejpam-3408	1395	2	175	175	NUM
ejpam-3408	1395	3	]	]	PUNCT
ejpam-3408	1395	4	a.	a.	NOUN
ejpam-3408	1395	5	i.	i.	PROPN
ejpam-3408	1395	6	malcev	malcev	PROPN
ejpam-3408	1395	7	.	.	PUNCT
ejpam-3408	1396	1	analytic	analytic	ADJ
ejpam-3408	1396	2	loops	loop	NOUN
ejpam-3408	1396	3	.	.	PUNCT
ejpam-3408	1397	1	mat	mat	NOUN
ejpam-3408	1397	2	.	.	PUNCT
ejpam-3408	1397	3	sb	sb	PROPN
ejpam-3408	1397	4	.	.	PROPN
ejpam-3408	1397	5	,	,	PUNCT
ejpam-3408	1398	1	78:569–576	78:569–576	PROPN
ejpam-3408	1398	2	,	,	PUNCT
ejpam-3408	1398	3	1955	1955	NUM
ejpam-3408	1398	4	.	.	PUNCT
ejpam-3408	1399	1	[	[	X
ejpam-3408	1399	2	176	176	NUM
ejpam-3408	1399	3	]	]	PUNCT
ejpam-3408	1399	4	k.	k.	PROPN
ejpam-3408	1399	5	mccrimmon	mccrimmon	PROPN
ejpam-3408	1399	6	.	.	PUNCT
ejpam-3408	1400	1	a	a	DET
ejpam-3408	1400	2	general	general	ADJ
ejpam-3408	1400	3	theory	theory	NOUN
ejpam-3408	1400	4	of	of	ADP
ejpam-3408	1400	5	jordan	jordan	PROPN
ejpam-3408	1400	6	rings	rings	PROPN
ejpam-3408	1400	7	.	.	PUNCT
ejpam-3408	1401	1	proc	proc	PROPN
ejpam-3408	1401	2	.	.	PUNCT
ejpam-3408	1402	1	natl	natl	PROPN
ejpam-3408	1402	2	.	.	PUNCT
ejpam-3408	1403	1	acad	acad	PROPN
ejpam-3408	1403	2	.	.	PUNCT
ejpam-3408	1404	1	sci	sci	PROPN
ejpam-3408	1404	2	.	.	PROPN
ejpam-3408	1404	3	usa	usa	PROPN
ejpam-3408	1404	4	,	,	PUNCT
ejpam-3408	1404	5	56:1072–1079	56:1072–1079	NUM
ejpam-3408	1404	6	,	,	PUNCT
ejpam-3408	1404	7	1966	1966	NUM
ejpam-3408	1404	8	.	.	PUNCT
ejpam-3408	1405	1	[	[	X
ejpam-3408	1405	2	177	177	NUM
ejpam-3408	1405	3	]	]	PUNCT
ejpam-3408	1405	4	k.	k.	PROPN
ejpam-3408	1405	5	mccrimmon	mccrimmon	PROPN
ejpam-3408	1405	6	.	.	PUNCT
ejpam-3408	1406	1	nondegenerate	nondegenerate	PROPN
ejpam-3408	1406	2	jordan	jordan	PROPN
ejpam-3408	1406	3	rings	rings	PROPN
ejpam-3408	1406	4	are	be	AUX
ejpam-3408	1406	5	von	von	PROPN
ejpam-3408	1406	6	neumann	neumann	PROPN
ejpam-3408	1406	7	regular	regular	PROPN
ejpam-3408	1406	8	.	.	PUNCT
ejpam-3408	1407	1	j.	j.	PROPN
ejpam-3408	1407	2	algebra	algebra	PROPN
ejpam-3408	1407	3	,	,	PUNCT
ejpam-3408	1407	4	11:111–115	11:111–115	PROPN
ejpam-3408	1407	5	,	,	PUNCT
ejpam-3408	1407	6	1969	1969	NUM
ejpam-3408	1407	7	.	.	PUNCT
ejpam-3408	1408	1	[	[	X
ejpam-3408	1408	2	178	178	NUM
ejpam-3408	1408	3	]	]	PUNCT
ejpam-3408	1408	4	k.	k.	PROPN
ejpam-3408	1408	5	mccrimmon	mccrimmon	PROPN
ejpam-3408	1408	6	.	.	PUNCT
ejpam-3408	1409	1	non	non	ADJ
ejpam-3408	1409	2	-	-	ADJ
ejpam-3408	1409	3	commutative	commutative	ADJ
ejpam-3408	1409	4	jordan	jordan	PROPN
ejpam-3408	1409	5	rings	rings	PROPN
ejpam-3408	1409	6	.	.	PUNCT
ejpam-3408	1410	1	trans	trans	PROPN
ejpam-3408	1410	2	.	.	PUNCT
ejpam-3408	1411	1	amer	amer	PROPN
ejpam-3408	1411	2	.	.	PUNCT
ejpam-3408	1411	3	math	math	PROPN
ejpam-3408	1411	4	.	.	PUNCT
ejpam-3408	1412	1	soc	soc	PROPN
ejpam-3408	1412	2	.	.	PUNCT
ejpam-3408	1412	3	,	,	PUNCT
ejpam-3408	1412	4	158:1	158:1	NUM
ejpam-3408	1412	5	–	–	PUNCT
ejpam-3408	1412	6	33	33	NUM
ejpam-3408	1412	7	,	,	PUNCT
ejpam-3408	1412	8	1971	1971	NUM
ejpam-3408	1412	9	.	.	PUNCT
ejpam-3408	1413	1	[	[	X
ejpam-3408	1413	2	179	179	NUM
ejpam-3408	1413	3	]	]	PUNCT
ejpam-3408	1413	4	k.	k.	PROPN
ejpam-3408	1413	5	mccrimmon	mccrimmon	PROPN
ejpam-3408	1413	6	.	.	PUNCT
ejpam-3408	1414	1	a	a	DET
ejpam-3408	1414	2	taste	taste	NOUN
ejpam-3408	1414	3	of	of	ADP
ejpam-3408	1414	4	jordan	jordan	PROPN
ejpam-3408	1414	5	algebras	algebras	PROPN
ejpam-3408	1414	6	.	.	PUNCT
ejpam-3408	1414	7	springer	springer	NOUN
ejpam-3408	1414	8	-	-	PUNCT
ejpam-3408	1414	9	verlag	verlag	PROPN
ejpam-3408	1414	10	,	,	PUNCT
ejpam-3408	1414	11	new	new	PROPN
ejpam-3408	1414	12	york	york	PROPN
ejpam-3408	1414	13	,	,	PUNCT
ejpam-3408	1414	14	2004	2004	NUM
ejpam-3408	1414	15	.	.	PUNCT
ejpam-3408	1415	1	references	reference	NOUN
ejpam-3408	1415	2	403	403	NUM
ejpam-3408	1415	3	[	[	X
ejpam-3408	1415	4	180	180	NUM
ejpam-3408	1415	5	]	]	X
ejpam-3408	1415	6	y.	y.	PROPN
ejpam-3408	1415	7	a.	a.	PROPN
ejpam-3408	1415	8	medvedev	medvedev	PROPN
ejpam-3408	1415	9	.	.	PUNCT
ejpam-3408	1416	1	groups	group	NOUN
ejpam-3408	1416	2	and	and	CCONJ
ejpam-3408	1416	3	lie	lie	VERB
ejpam-3408	1416	4	algebras	algebra	VERB
ejpam-3408	1416	5	with	with	ADP
ejpam-3408	1416	6	almost	almost	ADV
ejpam-3408	1416	7	regular	regular	ADJ
ejpam-3408	1416	8	automorphisms	automorphism	NOUN
ejpam-3408	1416	9	.	.	PUNCT
ejpam-3408	1417	1	j.	j.	PROPN
ejpam-3408	1417	2	algebra	algebra	PROPN
ejpam-3408	1417	3	,	,	PUNCT
ejpam-3408	1417	4	164:877–885	164:877–885	NUM
ejpam-3408	1417	5	,	,	PUNCT
ejpam-3408	1417	6	1994	1994	NUM
ejpam-3408	1417	7	.	.	PUNCT
ejpam-3408	1418	1	[	[	X
ejpam-3408	1418	2	181	181	NUM
ejpam-3408	1418	3	]	]	X
ejpam-3408	1418	4	yu	yu	PROPN
ejpam-3408	1418	5	.	.	PROPN
ejpam-3408	1418	6	medvedev	medvedev	PROPN
ejpam-3408	1418	7	.	.	PUNCT
ejpam-3408	1419	1	p	p	X
ejpam-3408	1419	2	-	-	PUNCT
ejpam-3408	1419	3	divided	divide	VERB
ejpam-3408	1419	4	lie	lie	NOUN
ejpam-3408	1419	5	rings	ring	NOUN
ejpam-3408	1419	6	and	and	CCONJ
ejpam-3408	1419	7	p	p	NOUN
ejpam-3408	1419	8	-	-	PUNCT
ejpam-3408	1419	9	groups	group	NOUN
ejpam-3408	1419	10	.	.	PUNCT
ejpam-3408	1420	1	j.	j.	PROPN
ejpam-3408	1420	2	lond	lond	PROPN
ejpam-3408	1420	3	.	.	PUNCT
ejpam-3408	1421	1	math	math	PROPN
ejpam-3408	1421	2	.	.	PUNCT
ejpam-3408	1422	1	soc	soc	PROPN
ejpam-3408	1422	2	.	.	PUNCT
ejpam-3408	1422	3	,	,	PUNCT
ejpam-3408	1422	4	59:787–798	59:787–798	NUM
ejpam-3408	1422	5	,	,	PUNCT
ejpam-3408	1422	6	1999	1999	NUM
ejpam-3408	1422	7	.	.	PUNCT
ejpam-3408	1423	1	[	[	X
ejpam-3408	1423	2	182	182	NUM
ejpam-3408	1423	3	]	]	PUNCT
ejpam-3408	1423	4	k.	k.	PROPN
ejpam-3408	1423	5	meyberg	meyberg	PROPN
ejpam-3408	1423	6	.	.	PUNCT
ejpam-3408	1424	1	the	the	DET
ejpam-3408	1424	2	fundamental	fundamental	ADJ
ejpam-3408	1424	3	-	-	PUNCT
ejpam-3408	1424	4	formula	formula	NOUN
ejpam-3408	1424	5	in	in	ADP
ejpam-3408	1424	6	jordan	jordan	PROPN
ejpam-3408	1424	7	rings	rings	PROPN
ejpam-3408	1424	8	.	.	PUNCT
ejpam-3408	1425	1	arch	arch	PROPN
ejpam-3408	1425	2	.	.	PUNCT
ejpam-3408	1426	1	math	math	NOUN
ejpam-3408	1426	2	.	.	PUNCT
ejpam-3408	1426	3	,	,	PUNCT
ejpam-3408	1426	4	21:43–44	21:43–44	NUM
ejpam-3408	1426	5	,	,	PUNCT
ejpam-3408	1426	6	1970	1970	NUM
ejpam-3408	1426	7	.	.	PUNCT
ejpam-3408	1427	1	[	[	X
ejpam-3408	1427	2	183	183	NUM
ejpam-3408	1427	3	]	]	PUNCT
ejpam-3408	1427	4	i.	i.	PROPN
ejpam-3408	1427	5	m.	m.	PROPN
ejpam-3408	1427	6	miheev	miheev	PROPN
ejpam-3408	1427	7	.	.	PUNCT
ejpam-3408	1428	1	on	on	ADP
ejpam-3408	1428	2	prime	prime	ADJ
ejpam-3408	1428	3	right	right	ADJ
ejpam-3408	1428	4	alternative	alternative	ADJ
ejpam-3408	1428	5	rings	ring	NOUN
ejpam-3408	1428	6	.	.	PUNCT
ejpam-3408	1429	1	algebra	algebra	PROPN
ejpam-3408	1429	2	logika	logika	PROPN
ejpam-3408	1429	3	,	,	PUNCT
ejpam-3408	1429	4	14:56–60	14:56–60	PROPN
ejpam-3408	1429	5	,	,	PUNCT
ejpam-3408	1429	6	1975	1975	NUM
ejpam-3408	1429	7	.	.	PUNCT
ejpam-3408	1430	1	[	[	X
ejpam-3408	1430	2	184	184	X
ejpam-3408	1430	3	]	]	PUNCT
ejpam-3408	1430	4	s.	s.	PROPN
ejpam-3408	1430	5	montgomery	montgomery	PROPN
ejpam-3408	1430	6	.	.	PUNCT
ejpam-3408	1431	1	rings	ring	NOUN
ejpam-3408	1431	2	of	of	ADP
ejpam-3408	1431	3	quotients	quotient	NOUN
ejpam-3408	1431	4	for	for	ADP
ejpam-3408	1431	5	a	a	DET
ejpam-3408	1431	6	class	class	NOUN
ejpam-3408	1431	7	of	of	ADP
ejpam-3408	1431	8	special	special	ADJ
ejpam-3408	1431	9	jordan	jordan	PROPN
ejpam-3408	1431	10	rings	rings	PROPN
ejpam-3408	1431	11	.	.	PUNCT
ejpam-3408	1432	1	j.	j.	PROPN
ejpam-3408	1432	2	algebra	algebra	PROPN
ejpam-3408	1432	3	,	,	PUNCT
ejpam-3408	1432	4	31:154–165	31:154–165	NUM
ejpam-3408	1432	5	,	,	PUNCT
ejpam-3408	1432	6	1974	1974	NUM
ejpam-3408	1432	7	.	.	PUNCT
ejpam-3408	1433	1	[	[	X
ejpam-3408	1433	2	185	185	NUM
ejpam-3408	1433	3	]	]	PUNCT
ejpam-3408	1433	4	r.	r.	PROPN
ejpam-3408	1433	5	moufang	moufang	PROPN
ejpam-3408	1433	6	.	.	PUNCT
ejpam-3408	1434	1	alternativkrper	alternativkrper	PROPN
ejpam-3408	1434	2	und	und	VERB
ejpam-3408	1434	3	der	der	PROPN
ejpam-3408	1434	4	satz	satz	PROPN
ejpam-3408	1434	5	vom	vom	PROPN
ejpam-3408	1434	6	vollstndigen	vollstndigen	PROPN
ejpam-3408	1434	7	vierseit	vierseit	PROPN
ejpam-3408	1434	8	(	(	PUNCT
ejpam-3408	1434	9	d9	d9	PROPN
ejpam-3408	1434	10	)	)	PUNCT
ejpam-3408	1434	11	.	.	PUNCT
ejpam-3408	1435	1	abh	abh	PROPN
ejpam-3408	1435	2	.	.	PUNCT
ejpam-3408	1435	3	math	math	PROPN
ejpam-3408	1435	4	.	.	PUNCT
ejpam-3408	1436	1	semin	semin	PROPN
ejpam-3408	1436	2	.	.	PUNCT
ejpam-3408	1437	1	univ	univ	PROPN
ejpam-3408	1437	2	.	.	PUNCT
ejpam-3408	1438	1	hambg	hambg	PROPN
ejpam-3408	1438	2	.	.	PROPN
ejpam-3408	1438	3	,	,	PUNCT
ejpam-3408	1438	4	9:207–222	9:207–222	NOUN
ejpam-3408	1438	5	,	,	PUNCT
ejpam-3408	1438	6	1933	1933	NUM
ejpam-3408	1438	7	.	.	PUNCT
ejpam-3408	1439	1	[	[	X
ejpam-3408	1439	2	186	186	NUM
ejpam-3408	1439	3	]	]	PUNCT
ejpam-3408	1439	4	r.	r.	PROPN
ejpam-3408	1439	5	moufang	moufang	PROPN
ejpam-3408	1439	6	.	.	PUNCT
ejpam-3408	1440	1	zur	zur	PROPN
ejpam-3408	1440	2	struktur	struktur	PROPN
ejpam-3408	1440	3	von	von	PROPN
ejpam-3408	1440	4	alternative	alternative	PROPN
ejpam-3408	1440	5	pern	pern	PROPN
ejpam-3408	1440	6	.	.	PUNCT
ejpam-3408	1441	1	math	math	PROPN
ejpam-3408	1441	2	.	.	PUNCT
ejpam-3408	1442	1	ann	ann	PROPN
ejpam-3408	1442	2	.	.	PROPN
ejpam-3408	1442	3	,	,	PUNCT
ejpam-3408	1442	4	110:416–430	110:416–430	NUM
ejpam-3408	1442	5	,	,	PUNCT
ejpam-3408	1442	6	1935	1935	NUM
ejpam-3408	1442	7	.	.	PUNCT
ejpam-3408	1443	1	[	[	X
ejpam-3408	1443	2	187	187	NUM
ejpam-3408	1443	3	]	]	PUNCT
ejpam-3408	1443	4	g.	g.	PROPN
ejpam-3408	1443	5	p.	p.	PROPN
ejpam-3408	1443	6	nagy	nagy	PROPN
ejpam-3408	1443	7	.	.	PUNCT
ejpam-3408	1444	1	on	on	ADP
ejpam-3408	1444	2	nilpotent	nilpotent	ADJ
ejpam-3408	1444	3	loop	loop	NOUN
ejpam-3408	1444	4	rings	ring	NOUN
ejpam-3408	1444	5	and	and	CCONJ
ejpam-3408	1444	6	a	a	DET
ejpam-3408	1444	7	problem	problem	NOUN
ejpam-3408	1444	8	of	of	ADP
ejpam-3408	1444	9	goodaire	goodaire	NOUN
ejpam-3408	1444	10	.	.	PUNCT
ejpam-3408	1445	1	publ	publ	NOUN
ejpam-3408	1445	2	.	.	PUNCT
ejpam-3408	1446	1	math	math	NOUN
ejpam-3408	1446	2	.	.	PUNCT
ejpam-3408	1447	1	debrecen	debrecen	PROPN
ejpam-3408	1447	2	,	,	PUNCT
ejpam-3408	1447	3	61:549–554	61:549–554	NUM
ejpam-3408	1447	4	,	,	PUNCT
ejpam-3408	1447	5	2002	2002	NUM
ejpam-3408	1447	6	.	.	PUNCT
ejpam-3408	1448	1	[	[	X
ejpam-3408	1448	2	188	188	NUM
ejpam-3408	1448	3	]	]	PUNCT
ejpam-3408	1448	4	e.	e.	PROPN
ejpam-3408	1448	5	g.	g.	PROPN
ejpam-3408	1448	6	goodaire	goodaire	PROPN
ejpam-3408	1448	7	o.	o.	PROPN
ejpam-3408	1448	8	chein	chein	ADV
ejpam-3408	1448	9	and	and	CCONJ
ejpam-3408	1448	10	m.	m.	NOUN
ejpam-3408	1448	11	kinyon	kinyon	PROPN
ejpam-3408	1448	12	.	.	PUNCT
ejpam-3408	1449	1	when	when	SCONJ
ejpam-3408	1449	2	is	be	AUX
ejpam-3408	1449	3	a	a	DET
ejpam-3408	1449	4	right	right	ADJ
ejpam-3408	1449	5	alternative	alternative	ADJ
ejpam-3408	1449	6	loop	loop	NOUN
ejpam-3408	1449	7	ring	ring	NOUN
ejpam-3408	1449	8	that	that	PRON
ejpam-3408	1449	9	is	be	AUX
ejpam-3408	1449	10	also	also	ADV
ejpam-3408	1449	11	right	right	ADJ
ejpam-3408	1449	12	bol	bol	NOUN
ejpam-3408	1449	13	actually	actually	ADV
ejpam-3408	1449	14	moufang	moufang	PROPN
ejpam-3408	1449	15	.	.	PUNCT
ejpam-3408	1450	1	arxiv	arxiv	PROPN
ejpam-3408	1450	2	preprint	preprint	NOUN
ejpam-3408	1450	3	arxiv:0803.2205	arxiv:0803.2205	NOUN
ejpam-3408	1450	4	,	,	PUNCT
ejpam-3408	1450	5	2008	2008	NUM
ejpam-3408	1450	6	.	.	PUNCT
ejpam-3408	1451	1	[	[	X
ejpam-3408	1451	2	189	189	NUM
ejpam-3408	1451	3	]	]	PUNCT
ejpam-3408	1451	4	j.	j.	PROPN
ejpam-3408	1451	5	j.	j.	PROPN
ejpam-3408	1451	6	o’connor	o’connor	PROPN
ejpam-3408	1451	7	and	and	CCONJ
ejpam-3408	1451	8	e.	e.	PROPN
ejpam-3408	1451	9	f.	f.	PROPN
ejpam-3408	1451	10	robertson	robertson	PROPN
ejpam-3408	1451	11	.	.	PROPN
ejpam-3408	1451	12	maruis	maruis	PROPN
ejpam-3408	1451	13	sophus	sophus	PROPN
ejpam-3408	1451	14	lie	lie	VERB
ejpam-3408	1451	15	.	.	PUNCT
ejpam-3408	1452	1	the	the	DET
ejpam-3408	1452	2	mac	mac	PROPN
ejpam-3408	1452	3	tutor	tutor	NOUN
ejpam-3408	1452	4	history	history	NOUN
ejpam-3408	1452	5	of	of	ADP
ejpam-3408	1452	6	mathematics	mathematics	PROPN
ejpam-3408	1452	7	archive	archive	NOUN
ejpam-3408	1452	8	,	,	PUNCT
ejpam-3408	1452	9	2000	2000	NUM
ejpam-3408	1452	10	.	.	PUNCT
ejpam-3408	1453	1	[	[	X
ejpam-3408	1453	2	190	190	NUM
ejpam-3408	1453	3	]	]	X
ejpam-3408	1453	4	s.	s.	PROPN
ejpam-3408	1453	5	okubo	okubo	PROPN
ejpam-3408	1453	6	.	.	PUNCT
ejpam-3408	1454	1	introduction	introduction	NOUN
ejpam-3408	1454	2	to	to	ADP
ejpam-3408	1454	3	octonion	octonion	NOUN
ejpam-3408	1454	4	and	and	CCONJ
ejpam-3408	1454	5	other	other	ADJ
ejpam-3408	1454	6	non	non	ADJ
ejpam-3408	1454	7	-	-	ADJ
ejpam-3408	1454	8	associative	associative	ADJ
ejpam-3408	1454	9	algebras	algebra	NOUN
ejpam-3408	1454	10	in	in	ADP
ejpam-3408	1454	11	physics	physics	PROPN
ejpam-3408	1454	12	.	.	PUNCT
ejpam-3408	1455	1	cambridge	cambridge	PROPN
ejpam-3408	1455	2	university	university	PROPN
ejpam-3408	1455	3	press	press	PROPN
ejpam-3408	1455	4	,	,	PUNCT
ejpam-3408	1455	5	cambridge	cambridge	PROPN
ejpam-3408	1455	6	,	,	PUNCT
ejpam-3408	1455	7	1995	1995	NUM
ejpam-3408	1455	8	.	.	PUNCT
ejpam-3408	1456	1	[	[	X
ejpam-3408	1456	2	191	191	NUM
ejpam-3408	1456	3	]	]	X
ejpam-3408	1456	4	j.	j.	PROPN
ejpam-3408	1456	5	m.	m.	PROPN
ejpam-3408	1456	6	osborn	osborn	PROPN
ejpam-3408	1456	7	.	.	PROPN
ejpam-3408	1456	8	jordan	jordan	PROPN
ejpam-3408	1456	9	and	and	CCONJ
ejpam-3408	1456	10	associative	associative	ADJ
ejpam-3408	1456	11	rings	ring	NOUN
ejpam-3408	1456	12	with	with	ADP
ejpam-3408	1456	13	nilpotent	nilpotent	ADJ
ejpam-3408	1456	14	and	and	CCONJ
ejpam-3408	1456	15	invertible	invertible	ADJ
ejpam-3408	1456	16	elements	element	NOUN
ejpam-3408	1456	17	.	.	PUNCT
ejpam-3408	1457	1	j.	j.	PROPN
ejpam-3408	1457	2	algebra	algebra	PROPN
ejpam-3408	1457	3	,	,	PUNCT
ejpam-3408	1457	4	15:301–308	15:301–308	PROPN
ejpam-3408	1457	5	,	,	PUNCT
ejpam-3408	1457	6	1970	1970	NUM
ejpam-3408	1457	7	.	.	PUNCT
ejpam-3408	1458	1	[	[	X
ejpam-3408	1458	2	192	192	NUM
ejpam-3408	1458	3	]	]	X
ejpam-3408	1458	4	j.	j.	PROPN
ejpam-3408	1458	5	m.	m.	PROPN
ejpam-3408	1458	6	osborn	osborn	PROPN
ejpam-3408	1458	7	.	.	PUNCT
ejpam-3408	1459	1	varieties	variety	NOUN
ejpam-3408	1459	2	of	of	ADP
ejpam-3408	1459	3	algebras	algebras	PROPN
ejpam-3408	1459	4	.	.	PUNCT
ejpam-3408	1460	1	adv	adv	PROPN
ejpam-3408	1460	2	.	.	PUNCT
ejpam-3408	1460	3	math	math	PROPN
ejpam-3408	1460	4	.	.	PUNCT
ejpam-3408	1460	5	,	,	PUNCT
ejpam-3408	1460	6	8:163–369	8:163–369	PROPN
ejpam-3408	1460	7	,	,	PUNCT
ejpam-3408	1460	8	1972	1972	NUM
ejpam-3408	1460	9	.	.	PUNCT
ejpam-3408	1461	1	[	[	X
ejpam-3408	1461	2	193	193	NUM
ejpam-3408	1461	3	]	]	X
ejpam-3408	1461	4	l.	l.	PROPN
ejpam-3408	1461	5	j.	j.	PROPN
ejpam-3408	1461	6	paige	paige	PROPN
ejpam-3408	1461	7	.	.	PUNCT
ejpam-3408	1462	1	a	a	DET
ejpam-3408	1462	2	theorem	theorem	NOUN
ejpam-3408	1462	3	on	on	ADP
ejpam-3408	1462	4	commutative	commutative	ADJ
ejpam-3408	1462	5	power	power	NOUN
ejpam-3408	1462	6	associative	associative	PROPN
ejpam-3408	1462	7	loop	loop	NOUN
ejpam-3408	1462	8	algebras	algebras	PROPN
ejpam-3408	1462	9	.	.	PUNCT
ejpam-3408	1463	1	proc	proc	PROPN
ejpam-3408	1463	2	.	.	PUNCT
ejpam-3408	1464	1	amer	amer	PROPN
ejpam-3408	1464	2	.	.	PUNCT
ejpam-3408	1464	3	math	math	PROPN
ejpam-3408	1464	4	.	.	PUNCT
ejpam-3408	1465	1	soc	soc	PROPN
ejpam-3408	1465	2	.	.	PUNCT
ejpam-3408	1465	3	,	,	PUNCT
ejpam-3408	1465	4	6:279–280	6:279–280	NOUN
ejpam-3408	1465	5	,	,	PUNCT
ejpam-3408	1465	6	1955	1955	NUM
ejpam-3408	1465	7	.	.	PUNCT
ejpam-3408	1466	1	[	[	X
ejpam-3408	1466	2	194	194	NUM
ejpam-3408	1466	3	]	]	PUNCT
ejpam-3408	1466	4	a.	a.	PROPN
ejpam-3408	1466	5	c.	c.	PROPN
ejpam-3408	1466	6	paul	paul	PROPN
ejpam-3408	1466	7	and	and	CCONJ
ejpam-3408	1466	8	md	md	PROPN
ejpam-3408	1466	9	.	.	PROPN
ejpam-3408	1467	1	sabur	sabur	PROPN
ejpam-3408	1467	2	uddin	uddin	PROPN
ejpam-3408	1467	3	.	.	PUNCT
ejpam-3408	1468	1	lie	lie	NOUN
ejpam-3408	1468	2	and	and	CCONJ
ejpam-3408	1468	3	jordan	jordan	PROPN
ejpam-3408	1468	4	structure	structure	NOUN
ejpam-3408	1468	5	in	in	ADP
ejpam-3408	1468	6	simple	simple	ADJ
ejpam-3408	1468	7	gamma	gamma	NOUN
ejpam-3408	1468	8	rings	ring	NOUN
ejpam-3408	1468	9	.	.	PUNCT
ejpam-3408	1469	1	j.	j.	PROPN
ejpam-3408	1469	2	phys	phys	PROPN
ejpam-3408	1469	3	.	.	PUNCT
ejpam-3408	1470	1	sci	sci	PROPN
ejpam-3408	1470	2	.	.	PROPN
ejpam-3408	1470	3	,	,	PUNCT
ejpam-3408	1470	4	14:77–86	14:77–86	NUM
ejpam-3408	1470	5	,	,	PUNCT
ejpam-3408	1470	6	2010	2010	NUM
ejpam-3408	1470	7	.	.	PUNCT
ejpam-3408	1471	1	[	[	X
ejpam-3408	1471	2	195	195	NUM
ejpam-3408	1471	3	]	]	PUNCT
ejpam-3408	1471	4	a.	a.	NOUN
ejpam-3408	1471	5	c.	c.	PROPN
ejpam-3408	1471	6	paul	paul	PROPN
ejpam-3408	1471	7	and	and	CCONJ
ejpam-3408	1471	8	md	md	PROPN
ejpam-3408	1471	9	.	.	PROPN
ejpam-3408	1472	1	sabur	sabur	PROPN
ejpam-3408	1472	2	uddin	uddin	PROPN
ejpam-3408	1472	3	.	.	PUNCT
ejpam-3408	1473	1	lie	lie	NOUN
ejpam-3408	1473	2	structure	structure	NOUN
ejpam-3408	1473	3	in	in	ADP
ejpam-3408	1473	4	simple	simple	ADJ
ejpam-3408	1473	5	gamma	gamma	NOUN
ejpam-3408	1473	6	rings	ring	NOUN
ejpam-3408	1473	7	.	.	PUNCT
ejpam-3408	1474	1	int	int	NOUN
ejpam-3408	1474	2	.	.	PUNCT
ejpam-3408	1475	1	j.	j.	PROPN
ejpam-3408	1475	2	pure	pure	PROPN
ejpam-3408	1475	3	appl	appl	PROPN
ejpam-3408	1475	4	.	.	PUNCT
ejpam-3408	1476	1	sci	sci	PROPN
ejpam-3408	1476	2	.	.	PROPN
ejpam-3408	1476	3	technol	technol	PROPN
ejpam-3408	1476	4	.	.	PROPN
ejpam-3408	1476	5	,	,	PUNCT
ejpam-3408	1476	6	4:63–70	4:63–70	PROPN
ejpam-3408	1476	7	,	,	PUNCT
ejpam-3408	1476	8	2010	2010	NUM
ejpam-3408	1476	9	.	.	PUNCT
ejpam-3408	1477	1	[	[	X
ejpam-3408	1477	2	196	196	NUM
ejpam-3408	1477	3	]	]	X
ejpam-3408	1477	4	h.	h.	PROPN
ejpam-3408	1477	5	p.	p.	PROPN
ejpam-3408	1477	6	petersson	petersson	PROPN
ejpam-3408	1477	7	.	.	PUNCT
ejpam-3408	1478	1	lokal	lokal	PROPN
ejpam-3408	1478	2	kompakte	kompakte	PROPN
ejpam-3408	1478	3	jordan	jordan	PROPN
ejpam-3408	1478	4	-	-	PUNCT
ejpam-3408	1478	5	divisions	division	NOUN
ejpam-3408	1478	6	ringe	ringe	NOUN
ejpam-3408	1478	7	.	.	PUNCT
ejpam-3408	1479	1	abh	abh	PROPN
ejpam-3408	1479	2	.	.	PUNCT
ejpam-3408	1479	3	math	math	PROPN
ejpam-3408	1479	4	.	.	PUNCT
ejpam-3408	1480	1	semin	semin	PROPN
ejpam-3408	1480	2	.	.	PUNCT
ejpam-3408	1481	1	univ	univ	PROPN
ejpam-3408	1481	2	.	.	PUNCT
ejpam-3408	1482	1	hambg	hambg	PROPN
ejpam-3408	1482	2	.	.	PROPN
ejpam-3408	1482	3	,	,	PUNCT
ejpam-3408	1483	1	39:164–179	39:164–179	PROPN
ejpam-3408	1483	2	,	,	PUNCT
ejpam-3408	1483	3	1973	1973	NUM
ejpam-3408	1483	4	.	.	PUNCT
ejpam-3408	1484	1	[	[	X
ejpam-3408	1484	2	197	197	NUM
ejpam-3408	1484	3	]	]	X
ejpam-3408	1484	4	h.	h.	PROPN
ejpam-3408	1484	5	p.	p.	PROPN
ejpam-3408	1484	6	petersson	petersson	PROPN
ejpam-3408	1484	7	.	.	PUNCT
ejpam-3408	1485	1	classification	classification	NOUN
ejpam-3408	1485	2	of	of	ADP
ejpam-3408	1485	3	locally	locally	ADV
ejpam-3408	1485	4	compact	compact	ADJ
ejpam-3408	1485	5	jordan	jordan	PROPN
ejpam-3408	1485	6	division	division	PROPN
ejpam-3408	1485	7	rings	ring	NOUN
ejpam-3408	1485	8	.	.	PUNCT
ejpam-3408	1486	1	j.	j.	PROPN
ejpam-3408	1486	2	algebra	algebra	PROPN
ejpam-3408	1486	3	,	,	PUNCT
ejpam-3408	1486	4	58:350–360	58:350–360	NUM
ejpam-3408	1486	5	,	,	PUNCT
ejpam-3408	1486	6	1979	1979	NUM
ejpam-3408	1486	7	.	.	PUNCT
ejpam-3408	1486	8	references	reference	NOUN
ejpam-3408	1486	9	404	404	NUM
ejpam-3408	1487	1	[	[	X
ejpam-3408	1487	2	198	198	NUM
ejpam-3408	1487	3	]	]	PUNCT
ejpam-3408	1487	4	h.	h.	PROPN
ejpam-3408	1487	5	p.	p.	PROPN
ejpam-3408	1487	6	petersson	petersson	PROPN
ejpam-3408	1487	7	.	.	PUNCT
ejpam-3408	1488	1	composition	composition	NOUN
ejpam-3408	1488	2	algebras	algebra	NOUN
ejpam-3408	1488	3	over	over	ADP
ejpam-3408	1488	4	algebraic	algebraic	ADJ
ejpam-3408	1488	5	curves	curve	NOUN
ejpam-3408	1488	6	of	of	ADP
ejpam-3408	1488	7	genus	genus	NOUN
ejpam-3408	1488	8	zero	zero	NUM
ejpam-3408	1488	9	.	.	PUNCT
ejpam-3408	1489	1	trans	trans	PROPN
ejpam-3408	1489	2	.	.	PUNCT
ejpam-3408	1490	1	amer	amer	PROPN
ejpam-3408	1490	2	.	.	PUNCT
ejpam-3408	1490	3	math	math	PROPN
ejpam-3408	1490	4	.	.	PUNCT
ejpam-3408	1491	1	soc	soc	PROPN
ejpam-3408	1491	2	.	.	PUNCT
ejpam-3408	1491	3	,	,	PUNCT
ejpam-3408	1491	4	337:473–491	337:473–491	NUM
ejpam-3408	1491	5	,	,	PUNCT
ejpam-3408	1491	6	1993	1993	NUM
ejpam-3408	1491	7	.	.	PUNCT
ejpam-3408	1492	1	[	[	X
ejpam-3408	1492	2	199	199	NUM
ejpam-3408	1492	3	]	]	X
ejpam-3408	1492	4	h.	h.	PROPN
ejpam-3408	1492	5	o.	o.	PROPN
ejpam-3408	1492	6	pflugfelder	pflugfelder	PROPN
ejpam-3408	1492	7	.	.	PUNCT
ejpam-3408	1493	1	quasigroups	quasigroup	NOUN
ejpam-3408	1493	2	and	and	CCONJ
ejpam-3408	1493	3	loops	loop	NOUN
ejpam-3408	1493	4	:	:	PUNCT
ejpam-3408	1493	5	introduction	introduction	NOUN
ejpam-3408	1493	6	.	.	PUNCT
ejpam-3408	1494	1	heldermann	heldermann	PROPN
ejpam-3408	1494	2	verlag	verlag	PROPN
ejpam-3408	1494	3	,	,	PUNCT
ejpam-3408	1494	4	berlin	berlin	PROPN
ejpam-3408	1494	5	,	,	PUNCT
ejpam-3408	1494	6	1990	1990	NUM
ejpam-3408	1494	7	.	.	PUNCT
ejpam-3408	1495	1	[	[	X
ejpam-3408	1495	2	200	200	NUM
ejpam-3408	1495	3	]	]	PUNCT
ejpam-3408	1495	4	h.	h.	NOUN
ejpam-3408	1495	5	o.	o.	PROPN
ejpam-3408	1495	6	pflugfelder	pflugfelder	PROPN
ejpam-3408	1495	7	.	.	PUNCT
ejpam-3408	1496	1	historical	historical	ADJ
ejpam-3408	1496	2	notes	note	NOUN
ejpam-3408	1496	3	on	on	ADP
ejpam-3408	1496	4	loop	loop	NOUN
ejpam-3408	1496	5	theory	theory	NOUN
ejpam-3408	1496	6	.	.	PUNCT
ejpam-3408	1497	1	comment	comment	NOUN
ejpam-3408	1497	2	.	.	PUNCT
ejpam-3408	1498	1	math	math	NOUN
ejpam-3408	1498	2	.	.	PUNCT
ejpam-3408	1499	1	univ	univ	PROPN
ejpam-3408	1499	2	.	.	PUNCT
ejpam-3408	1500	1	carolin	carolin	PROPN
ejpam-3408	1500	2	.	.	PROPN
ejpam-3408	1500	3	,	,	PUNCT
ejpam-3408	1501	1	41:359–370	41:359–370	PROPN
ejpam-3408	1501	2	,	,	PUNCT
ejpam-3408	1501	3	2000	2000	NUM
ejpam-3408	1501	4	.	.	PUNCT
ejpam-3408	1502	1	[	[	X
ejpam-3408	1502	2	201	201	NUM
ejpam-3408	1502	3	]	]	X
ejpam-3408	1502	4	h.	h.	PROPN
ejpam-3408	1502	5	guzzo	guzzo	PROPN
ejpam-3408	1502	6	jr	jr	PROPN
ejpam-3408	1502	7	r.	r.	PROPN
ejpam-3408	1502	8	costa	costa	PROPN
ejpam-3408	1502	9	,	,	PUNCT
ejpam-3408	1502	10	a.	a.	NOUN
ejpam-3408	1502	11	grishkov	grishkov	PROPN
ejpam-3408	1502	12	and	and	CCONJ
ejpam-3408	1502	13	l.	l.	PROPN
ejpam-3408	1502	14	a.	a.	NOUN
ejpam-3408	1502	15	peresi	peresi	PROPN
ejpam-3408	1502	16	.	.	PUNCT
ejpam-3408	1503	1	non	non	ADJ
ejpam-3408	1503	2	-	-	ADJ
ejpam-3408	1503	3	associative	associative	ADJ
ejpam-3408	1503	4	algebra	algebra	NOUN
ejpam-3408	1503	5	and	and	CCONJ
ejpam-3408	1503	6	its	its	PRON
ejpam-3408	1503	7	applications	application	NOUN
ejpam-3408	1503	8	.	.	PUNCT
ejpam-3408	1504	1	crc	crc	PROPN
ejpam-3408	1504	2	press	press	PROPN
ejpam-3408	1504	3	,	,	PUNCT
ejpam-3408	1504	4	marcel	marcel	PROPN
ejpam-3408	1504	5	dekker	dekker	PROPN
ejpam-3408	1504	6	,	,	PUNCT
ejpam-3408	1504	7	new	new	PROPN
ejpam-3408	1504	8	york	york	PROPN
ejpam-3408	1504	9	,	,	PUNCT
ejpam-3408	1504	10	2000	2000	NUM
ejpam-3408	1504	11	.	.	PUNCT
ejpam-3408	1505	1	[	[	X
ejpam-3408	1505	2	202	202	NUM
ejpam-3408	1505	3	]	]	X
ejpam-3408	1505	4	i.	i.	PROPN
ejpam-3408	1505	5	rehman	rehman	PROPN
ejpam-3408	1505	6	.	.	PUNCT
ejpam-3408	1506	1	on	on	ADP
ejpam-3408	1506	2	generalized	generalize	VERB
ejpam-3408	1506	3	commutative	commutative	ADJ
ejpam-3408	1506	4	rings	ring	NOUN
ejpam-3408	1506	5	and	and	CCONJ
ejpam-3408	1506	6	related	related	ADJ
ejpam-3408	1506	7	structures	structure	NOUN
ejpam-3408	1506	8	.	.	PUNCT
ejpam-3408	1507	1	phd	phd	NOUN
ejpam-3408	1507	2	thesis	thesis	NOUN
ejpam-3408	1507	3	,	,	PUNCT
ejpam-3408	1507	4	quaid	quaid	PROPN
ejpam-3408	1507	5	-	-	PUNCT
ejpam-3408	1507	6	i	i	PROPN
ejpam-3408	1507	7	-	-	PUNCT
ejpam-3408	1507	8	azam	azam	PROPN
ejpam-3408	1507	9	university	university	PROPN
ejpam-3408	1507	10	,	,	PUNCT
ejpam-3408	1507	11	islamabad	islamabad	PROPN
ejpam-3408	1507	12	,	,	PUNCT
ejpam-3408	1507	13	pakistan	pakistan	PROPN
ejpam-3408	1507	14	,	,	PUNCT
ejpam-3408	1507	15	2011	2011	NUM
ejpam-3408	1507	16	.	.	PUNCT
ejpam-3408	1508	1	[	[	X
ejpam-3408	1508	2	203	203	NUM
ejpam-3408	1508	3	]	]	PUNCT
ejpam-3408	1508	4	m.	m.	NOUN
ejpam-3408	1508	5	rich	rich	ADJ
ejpam-3408	1508	6	.	.	PUNCT
ejpam-3408	1509	1	the	the	DET
ejpam-3408	1509	2	prime	prime	ADJ
ejpam-3408	1509	3	radical	radical	ADJ
ejpam-3408	1509	4	in	in	ADP
ejpam-3408	1509	5	alternative	alternative	ADJ
ejpam-3408	1509	6	rings	ring	NOUN
ejpam-3408	1509	7	.	.	PUNCT
ejpam-3408	1510	1	proc	proc	PROPN
ejpam-3408	1510	2	.	.	PUNCT
ejpam-3408	1511	1	amer.math	amer.math	NUM
ejpam-3408	1511	2	.	.	PUNCT
ejpam-3408	1512	1	soc	soc	PROPN
ejpam-3408	1512	2	.	.	PROPN
ejpam-3408	1512	3	,	,	PUNCT
ejpam-3408	1512	4	56:11–15	56:11–15	NUM
ejpam-3408	1512	5	,	,	PUNCT
ejpam-3408	1512	6	1976	1976	NUM
ejpam-3408	1512	7	.	.	PUNCT
ejpam-3408	1513	1	[	[	X
ejpam-3408	1513	2	204	204	NUM
ejpam-3408	1513	3	]	]	X
ejpam-3408	1513	4	b.	b.	PROPN
ejpam-3408	1513	5	i.	i.	PROPN
ejpam-3408	1513	6	rose	rise	VERB
ejpam-3408	1513	7	.	.	PUNCT
ejpam-3408	1514	1	model	model	NOUN
ejpam-3408	1514	2	theory	theory	NOUN
ejpam-3408	1514	3	of	of	ADP
ejpam-3408	1514	4	alternative	alternative	ADJ
ejpam-3408	1514	5	rings	ring	NOUN
ejpam-3408	1514	6	.	.	PUNCT
ejpam-3408	1515	1	notre	notre	PROPN
ejpam-3408	1515	2	dame	dame	PROPN
ejpam-3408	1515	3	j.	j.	PROPN
ejpam-3408	1515	4	form	form	PROPN
ejpam-3408	1515	5	.	.	PUNCT
ejpam-3408	1516	1	log	log	PROPN
ejpam-3408	1516	2	.	.	PUNCT
ejpam-3408	1516	3	,	,	PUNCT
ejpam-3408	1517	1	19:215–243	19:215–243	NUM
ejpam-3408	1517	2	,	,	PUNCT
ejpam-3408	1517	3	1978	1978	NUM
ejpam-3408	1517	4	.	.	PUNCT
ejpam-3408	1518	1	[	[	X
ejpam-3408	1518	2	205	205	NUM
ejpam-3408	1518	3	]	]	X
ejpam-3408	1518	4	r.	r.	PROPN
ejpam-3408	1518	5	d.	d.	PROPN
ejpam-3408	1518	6	schafer	schafer	PROPN
ejpam-3408	1518	7	.	.	PUNCT
ejpam-3408	1519	1	alternative	alternative	PROPN
ejpam-3408	1519	2	algebras	algebras	PROPN
ejpam-3408	1519	3	over	over	ADP
ejpam-3408	1519	4	an	an	DET
ejpam-3408	1519	5	arbitrary	arbitrary	ADJ
ejpam-3408	1519	6	field	field	NOUN
ejpam-3408	1519	7	.	.	PUNCT
ejpam-3408	1520	1	bull	bull	NOUN
ejpam-3408	1520	2	.	.	PUNCT
ejpam-3408	1521	1	amer	amer	PROPN
ejpam-3408	1521	2	.	.	PUNCT
ejpam-3408	1521	3	math	math	PROPN
ejpam-3408	1521	4	.	.	PUNCT
ejpam-3408	1522	1	soc	soc	PROPN
ejpam-3408	1522	2	.	.	PROPN
ejpam-3408	1522	3	,	,	PUNCT
ejpam-3408	1522	4	49:549–555	49:549–555	PROPN
ejpam-3408	1522	5	,	,	PUNCT
ejpam-3408	1522	6	1943	1943	NUM
ejpam-3408	1522	7	.	.	PUNCT
ejpam-3408	1523	1	[	[	X
ejpam-3408	1523	2	206	206	NUM
ejpam-3408	1523	3	]	]	PUNCT
ejpam-3408	1523	4	r.	r.	PROPN
ejpam-3408	1523	5	d.	d.	PROPN
ejpam-3408	1523	6	schafer	schafer	PROPN
ejpam-3408	1523	7	.	.	PUNCT
ejpam-3408	1524	1	inner	inner	ADJ
ejpam-3408	1524	2	derivations	derivation	NOUN
ejpam-3408	1524	3	of	of	ADP
ejpam-3408	1524	4	non	non	ADJ
ejpam-3408	1524	5	-	-	ADJ
ejpam-3408	1524	6	associative	associative	ADJ
ejpam-3408	1524	7	algebras	algebra	NOUN
ejpam-3408	1524	8	.	.	PUNCT
ejpam-3408	1525	1	bull	bull	PROPN
ejpam-3408	1525	2	.	.	PUNCT
ejpam-3408	1526	1	amer	amer	PROPN
ejpam-3408	1526	2	.	.	PUNCT
ejpam-3408	1526	3	math	math	PROPN
ejpam-3408	1526	4	.	.	PUNCT
ejpam-3408	1527	1	soc	soc	PROPN
ejpam-3408	1527	2	.	.	PUNCT
ejpam-3408	1527	3	,	,	PUNCT
ejpam-3408	1527	4	55:769–776	55:769–776	NUM
ejpam-3408	1527	5	,	,	PUNCT
ejpam-3408	1527	6	1949	1949	NUM
ejpam-3408	1527	7	.	.	PUNCT
ejpam-3408	1528	1	[	[	X
ejpam-3408	1528	2	207	207	NUM
ejpam-3408	1528	3	]	]	X
ejpam-3408	1528	4	r.	r.	PROPN
ejpam-3408	1528	5	d.	d.	PROPN
ejpam-3408	1528	6	schafer	schafer	PROPN
ejpam-3408	1528	7	.	.	PUNCT
ejpam-3408	1529	1	the	the	DET
ejpam-3408	1529	2	wedderburn	wedderburn	PROPN
ejpam-3408	1529	3	principal	principal	NOUN
ejpam-3408	1529	4	theorem	theorem	VERB
ejpam-3408	1529	5	for	for	ADP
ejpam-3408	1529	6	alternative	alternative	ADJ
ejpam-3408	1529	7	algebras	algebra	NOUN
ejpam-3408	1529	8	.	.	PUNCT
ejpam-3408	1530	1	bull	bull	NOUN
ejpam-3408	1530	2	.	.	PUNCT
ejpam-3408	1531	1	amer	amer	PROPN
ejpam-3408	1531	2	.	.	PUNCT
ejpam-3408	1531	3	math	math	PROPN
ejpam-3408	1531	4	.	.	PUNCT
ejpam-3408	1532	1	soc	soc	PROPN
ejpam-3408	1532	2	.	.	PUNCT
ejpam-3408	1532	3	,	,	PUNCT
ejpam-3408	1532	4	55:604–614	55:604–614	NUM
ejpam-3408	1532	5	,	,	PUNCT
ejpam-3408	1532	6	1949	1949	NUM
ejpam-3408	1532	7	.	.	PUNCT
ejpam-3408	1533	1	[	[	X
ejpam-3408	1533	2	208	208	NUM
ejpam-3408	1533	3	]	]	X
ejpam-3408	1533	4	r.	r.	PROPN
ejpam-3408	1533	5	d.	d.	PROPN
ejpam-3408	1533	6	schafer	schafer	PROPN
ejpam-3408	1533	7	.	.	PUNCT
ejpam-3408	1534	1	non	non	ADJ
ejpam-3408	1534	2	-	-	ADJ
ejpam-3408	1534	3	commutative	commutative	ADJ
ejpam-3408	1534	4	jordan	jordan	PROPN
ejpam-3408	1534	5	algebras	algebras	PROPN
ejpam-3408	1534	6	of	of	ADP
ejpam-3408	1534	7	characteristic	characteristic	ADJ
ejpam-3408	1534	8	zero	zero	NUM
ejpam-3408	1534	9	.	.	PUNCT
ejpam-3408	1535	1	proc	proc	PROPN
ejpam-3408	1535	2	.	.	PUNCT
ejpam-3408	1536	1	amer	amer	PROPN
ejpam-3408	1536	2	.	.	PUNCT
ejpam-3408	1536	3	math	math	PROPN
ejpam-3408	1536	4	.	.	PUNCT
ejpam-3408	1537	1	soc	soc	PROPN
ejpam-3408	1537	2	.	.	PUNCT
ejpam-3408	1537	3	,	,	PUNCT
ejpam-3408	1537	4	6:472–475	6:472–475	PROPN
ejpam-3408	1537	5	,	,	PUNCT
ejpam-3408	1537	6	1955	1955	NUM
ejpam-3408	1537	7	.	.	PUNCT
ejpam-3408	1538	1	[	[	X
ejpam-3408	1538	2	209	209	NUM
ejpam-3408	1538	3	]	]	X
ejpam-3408	1538	4	r.	r.	PROPN
ejpam-3408	1538	5	d.	d.	PROPN
ejpam-3408	1538	6	schafer	schafer	PROPN
ejpam-3408	1538	7	.	.	PUNCT
ejpam-3408	1539	1	on	on	ADP
ejpam-3408	1539	2	non	non	ADJ
ejpam-3408	1539	3	-	-	ADJ
ejpam-3408	1539	4	commutative	commutative	ADJ
ejpam-3408	1539	5	jordan	jordan	PROPN
ejpam-3408	1539	6	algebras	algebras	PROPN
ejpam-3408	1539	7	.	.	PUNCT
ejpam-3408	1540	1	proc	proc	PROPN
ejpam-3408	1540	2	.	.	PUNCT
ejpam-3408	1541	1	amer	amer	PROPN
ejpam-3408	1541	2	.	.	PUNCT
ejpam-3408	1541	3	math	math	PROPN
ejpam-3408	1541	4	.	.	PUNCT
ejpam-3408	1542	1	soc	soc	PROPN
ejpam-3408	1542	2	.	.	PROPN
ejpam-3408	1542	3	,	,	PUNCT
ejpam-3408	1542	4	9:110–117	9:110–117	NUM
ejpam-3408	1542	5	,	,	PUNCT
ejpam-3408	1542	6	1958	1958	NUM
ejpam-3408	1542	7	.	.	PUNCT
ejpam-3408	1543	1	[	[	X
ejpam-3408	1543	2	210	210	NUM
ejpam-3408	1543	3	]	]	PUNCT
ejpam-3408	1543	4	r.	r.	PROPN
ejpam-3408	1543	5	d.	d.	PROPN
ejpam-3408	1543	6	schafer	schafer	PROPN
ejpam-3408	1543	7	.	.	PUNCT
ejpam-3408	1544	1	restricted	restrict	VERB
ejpam-3408	1544	2	non	non	ADJ
ejpam-3408	1544	3	-	-	ADJ
ejpam-3408	1544	4	commutative	commutative	ADJ
ejpam-3408	1544	5	jordan	jordan	PROPN
ejpam-3408	1544	6	algebras	algebras	PROPN
ejpam-3408	1544	7	of	of	ADP
ejpam-3408	1544	8	characteristic	characteristic	ADJ
ejpam-3408	1544	9	p.	p.	NOUN
ejpam-3408	1544	10	proc	proc	NOUN
ejpam-3408	1544	11	.	.	PUNCT
ejpam-3408	1545	1	amer	amer	PROPN
ejpam-3408	1545	2	.	.	PUNCT
ejpam-3408	1545	3	math	math	PROPN
ejpam-3408	1545	4	.	.	PUNCT
ejpam-3408	1546	1	soc	soc	PROPN
ejpam-3408	1546	2	.	.	PUNCT
ejpam-3408	1546	3	,	,	PUNCT
ejpam-3408	1546	4	9:141–144	9:141–144	NUM
ejpam-3408	1546	5	,	,	PUNCT
ejpam-3408	1546	6	1958	1958	NUM
ejpam-3408	1546	7	.	.	PUNCT
ejpam-3408	1547	1	[	[	X
ejpam-3408	1547	2	211	211	NUM
ejpam-3408	1547	3	]	]	X
ejpam-3408	1547	4	ng	ng	PROPN
ejpam-3408	1547	5	seong	seong	PROPN
ejpam-3408	1547	6	-	-	PUNCT
ejpam-3408	1547	7	nam	nam	PROPN
ejpam-3408	1547	8	.	.	PUNCT
ejpam-3408	1548	1	jordan	jordan	PROPN
ejpam-3408	1548	2	rings	rings	PROPN
ejpam-3408	1548	3	with	with	ADP
ejpam-3408	1548	4	involution	involution	NOUN
ejpam-3408	1548	5	.	.	PUNCT
ejpam-3408	1549	1	trans	trans	PROPN
ejpam-3408	1549	2	.	.	PUNCT
ejpam-3408	1550	1	amer	amer	PROPN
ejpam-3408	1550	2	.	.	PUNCT
ejpam-3408	1550	3	math	math	PROPN
ejpam-3408	1550	4	.	.	PUNCT
ejpam-3408	1551	1	soc	soc	PROPN
ejpam-3408	1551	2	.	.	PUNCT
ejpam-3408	1552	1	,	,	PUNCT
ejpam-3408	1552	2	200:111	200:111	NUM
ejpam-3408	1552	3	–	–	PUNCT
ejpam-3408	1552	4	139	139	NUM
ejpam-3408	1552	5	,	,	PUNCT
ejpam-3408	1552	6	1974	1974	NUM
ejpam-3408	1552	7	.	.	PUNCT
ejpam-3408	1553	1	[	[	X
ejpam-3408	1553	2	212	212	NUM
ejpam-3408	1553	3	]	]	PUNCT
ejpam-3408	1553	4	ng	ng	PROPN
ejpam-3408	1553	5	seong	seong	PROPN
ejpam-3408	1553	6	-	-	PUNCT
ejpam-3408	1553	7	nam	nam	PROPN
ejpam-3408	1553	8	.	.	PUNCT
ejpam-3408	1554	1	right	right	ADJ
ejpam-3408	1554	2	nucleus	nucleus	NOUN
ejpam-3408	1554	3	in	in	ADP
ejpam-3408	1554	4	right	right	ADJ
ejpam-3408	1554	5	alternative	alternative	NOUN
ejpam-3408	1554	6	algebras	algebras	PROPN
ejpam-3408	1554	7	.	.	PUNCT
ejpam-3408	1555	1	j.	j.	PROPN
ejpam-3408	1555	2	lond	lond	PROPN
ejpam-3408	1555	3	.	.	PUNCT
ejpam-3408	1556	1	math	math	PROPN
ejpam-3408	1556	2	.	.	PUNCT
ejpam-3408	1557	1	soc	soc	PROPN
ejpam-3408	1557	2	.	.	PUNCT
ejpam-3408	1557	3	,	,	PUNCT
ejpam-3408	1557	4	21(2):456–464	21(2):456–464	NUM
ejpam-3408	1557	5	,	,	PUNCT
ejpam-3408	1557	6	1980	1980	NUM
ejpam-3408	1557	7	.	.	PUNCT
ejpam-3408	1558	1	[	[	X
ejpam-3408	1558	2	213	213	NUM
ejpam-3408	1558	3	]	]	PUNCT
ejpam-3408	1558	4	m.	m.	NOUN
ejpam-3408	1558	5	shah	shah	NOUN
ejpam-3408	1558	6	and	and	CCONJ
ejpam-3408	1558	7	t.	t.	NOUN
ejpam-3408	1558	8	shah	shah	NOUN
ejpam-3408	1558	9	.	.	PUNCT
ejpam-3408	1559	1	some	some	DET
ejpam-3408	1559	2	basic	basic	ADJ
ejpam-3408	1559	3	properties	property	NOUN
ejpam-3408	1559	4	of	of	ADP
ejpam-3408	1559	5	la	la	NOUN
ejpam-3408	1559	6	-	-	PUNCT
ejpam-3408	1559	7	rings	ring	NOUN
ejpam-3408	1559	8	.	.	PUNCT
ejpam-3408	1560	1	international	international	PROPN
ejpam-3408	1560	2	mathematical	mathematical	PROPN
ejpam-3408	1560	3	forum	forum	PROPN
ejpam-3408	1560	4	,	,	PUNCT
ejpam-3408	1560	5	6:2195–2199	6:2195–2199	NUM
ejpam-3408	1560	6	,	,	PUNCT
ejpam-3408	1560	7	2011	2011	NUM
ejpam-3408	1560	8	.	.	PUNCT
ejpam-3408	1561	1	references	reference	NOUN
ejpam-3408	1561	2	405	405	NUM
ejpam-3408	1562	1	[	[	X
ejpam-3408	1562	2	214	214	NUM
ejpam-3408	1562	3	]	]	PUNCT
ejpam-3408	1562	4	t.	t.	NOUN
ejpam-3408	1562	5	shah	shah	PROPN
ejpam-3408	1562	6	and	and	CCONJ
ejpam-3408	1562	7	asima	asima	PROPN
ejpam-3408	1562	8	razzaque	razzaque	NOUN
ejpam-3408	1562	9	.	.	PUNCT
ejpam-3408	1563	1	soft	soft	ADJ
ejpam-3408	1563	2	m	m	NOUN
ejpam-3408	1563	3	-	-	NOUN
ejpam-3408	1563	4	systems	system	NOUN
ejpam-3408	1563	5	in	in	ADP
ejpam-3408	1563	6	a	a	DET
ejpam-3408	1563	7	class	class	NOUN
ejpam-3408	1563	8	of	of	ADP
ejpam-3408	1563	9	soft	soft	ADJ
ejpam-3408	1563	10	non	non	ADJ
ejpam-3408	1563	11	-	-	ADJ
ejpam-3408	1563	12	associative	associative	ADJ
ejpam-3408	1563	13	rings	ring	NOUN
ejpam-3408	1563	14	.	.	PUNCT
ejpam-3408	1564	1	u.p.b	u.p.b	PROPN
ejpam-3408	1564	2	.	.	PUNCT
ejpam-3408	1565	1	sci	sci	PROPN
ejpam-3408	1565	2	.	.	PUNCT
ejpam-3408	1565	3	bull	bull	PROPN
ejpam-3408	1565	4	.	.	PUNCT
ejpam-3408	1565	5	,	,	PUNCT
ejpam-3408	1565	6	series	series	PROPN
ejpam-3408	1565	7	a	a	PRON
ejpam-3408	1565	8	,	,	PUNCT
ejpam-3408	1565	9	77(3):131–142	77(3):131–142	PROPN
ejpam-3408	1565	10	,	,	PUNCT
ejpam-3408	1565	11	2015	2015	NUM
ejpam-3408	1565	12	.	.	PUNCT
ejpam-3408	1566	1	[	[	X
ejpam-3408	1566	2	215	215	X
ejpam-3408	1566	3	]	]	PUNCT
ejpam-3408	1566	4	t.	t.	NOUN
ejpam-3408	1566	5	shah	shah	PROPN
ejpam-3408	1566	6	and	and	CCONJ
ejpam-3408	1566	7	i.	i.	PROPN
ejpam-3408	1566	8	rehman	rehman	PROPN
ejpam-3408	1566	9	.	.	PUNCT
ejpam-3408	1567	1	on	on	ADP
ejpam-3408	1567	2	la	la	PROPN
ejpam-3408	1567	3	-	-	PUNCT
ejpam-3408	1567	4	rings	ring	NOUN
ejpam-3408	1567	5	of	of	ADP
ejpam-3408	1567	6	finitely	finitely	ADJ
ejpam-3408	1567	7	non	non	ADJ
ejpam-3408	1567	8	-	-	ADJ
ejpam-3408	1567	9	zero	zero	NUM
ejpam-3408	1567	10	functions	function	NOUN
ejpam-3408	1567	11	.	.	PUNCT
ejpam-3408	1568	1	int	int	NOUN
ejpam-3408	1568	2	.	.	PUNCT
ejpam-3408	1569	1	j.	j.	PROPN
ejpam-3408	1569	2	contemp	contemp	PROPN
ejpam-3408	1569	3	.	.	PUNCT
ejpam-3408	1570	1	math	math	NOUN
ejpam-3408	1570	2	.	.	PUNCT
ejpam-3408	1571	1	sciences	science	NOUN
ejpam-3408	1571	2	,	,	PUNCT
ejpam-3408	1571	3	5:209–222	5:209–222	NUM
ejpam-3408	1571	4	,	,	PUNCT
ejpam-3408	1571	5	2010	2010	NUM
ejpam-3408	1571	6	.	.	PUNCT
ejpam-3408	1572	1	[	[	X
ejpam-3408	1572	2	216	216	NUM
ejpam-3408	1572	3	]	]	PUNCT
ejpam-3408	1572	4	t.	t.	NOUN
ejpam-3408	1572	5	shah	shah	PROPN
ejpam-3408	1572	6	and	and	CCONJ
ejpam-3408	1572	7	i.	i.	PROPN
ejpam-3408	1572	8	rehman	rehman	PROPN
ejpam-3408	1572	9	.	.	PUNCT
ejpam-3408	1573	1	on	on	ADP
ejpam-3408	1573	2	characterizations	characterization	NOUN
ejpam-3408	1573	3	of	of	ADP
ejpam-3408	1573	4	la	la	NOUN
ejpam-3408	1573	5	-	-	PUNCT
ejpam-3408	1573	6	rings	ring	NOUN
ejpam-3408	1573	7	through	through	ADP
ejpam-3408	1573	8	some	some	DET
ejpam-3408	1573	9	properties	property	NOUN
ejpam-3408	1573	10	of	of	ADP
ejpam-3408	1573	11	their	their	PRON
ejpam-3408	1573	12	ideals	ideal	NOUN
ejpam-3408	1573	13	.	.	PUNCT
ejpam-3408	1574	1	southeast	southeast	ADJ
ejpam-3408	1574	2	asian	asian	ADJ
ejpam-3408	1574	3	bull	bull	PROPN
ejpam-3408	1574	4	.	.	PUNCT
ejpam-3408	1575	1	math	math	NOUN
ejpam-3408	1575	2	.	.	PUNCT
ejpam-3408	1575	3	,	,	PUNCT
ejpam-3408	1575	4	36:695–705	36:695–705	NOUN
ejpam-3408	1575	5	,	,	PUNCT
ejpam-3408	1575	6	2012	2012	NUM
ejpam-3408	1575	7	.	.	PUNCT
ejpam-3408	1576	1	[	[	X
ejpam-3408	1576	2	217	217	NUM
ejpam-3408	1576	3	]	]	PUNCT
ejpam-3408	1576	4	t.	t.	NOUN
ejpam-3408	1576	5	shah	shah	PROPN
ejpam-3408	1576	6	and	and	CCONJ
ejpam-3408	1576	7	k.	k.	PROPN
ejpam-3408	1576	8	yousaf	yousaf	PROPN
ejpam-3408	1576	9	.	.	PUNCT
ejpam-3408	1577	1	topological	topological	PROPN
ejpam-3408	1577	2	la	la	PROPN
ejpam-3408	1577	3	-	-	PUNCT
ejpam-3408	1577	4	groups	group	NOUN
ejpam-3408	1577	5	and	and	CCONJ
ejpam-3408	1577	6	la	la	NOUN
ejpam-3408	1577	7	-	-	PUNCT
ejpam-3408	1577	8	rings	ring	NOUN
ejpam-3408	1577	9	.	.	PUNCT
ejpam-3408	1578	1	quasigroups	quasigroups	PROPN
ejpam-3408	1578	2	related	related	ADJ
ejpam-3408	1578	3	systems	system	NOUN
ejpam-3408	1578	4	,	,	PUNCT
ejpam-3408	1578	5	18:95–104	18:95–104	NUM
ejpam-3408	1578	6	,	,	PUNCT
ejpam-3408	1578	7	2010	2010	NUM
ejpam-3408	1578	8	.	.	PUNCT
ejpam-3408	1579	1	[	[	X
ejpam-3408	1579	2	218	218	NUM
ejpam-3408	1579	3	]	]	PUNCT
ejpam-3408	1579	4	i.	i.	PROPN
ejpam-3408	1579	5	p.	p.	PROPN
ejpam-3408	1579	6	shestakov	shestakov	PROPN
ejpam-3408	1579	7	.	.	PUNCT
ejpam-3408	1580	1	certain	certain	ADJ
ejpam-3408	1580	2	classes	class	NOUN
ejpam-3408	1580	3	of	of	ADP
ejpam-3408	1580	4	non	non	ADJ
ejpam-3408	1580	5	-	-	ADJ
ejpam-3408	1580	6	commuative	commuative	ADJ
ejpam-3408	1580	7	jordan	jordan	PROPN
ejpam-3408	1580	8	rings	rings	PROPN
ejpam-3408	1580	9	.	.	PUNCT
ejpam-3408	1581	1	algebra	algebra	PROPN
ejpam-3408	1581	2	logic	logic	NOUN
ejpam-3408	1581	3	,	,	PUNCT
ejpam-3408	1581	4	10:252–280	10:252–280	NUM
ejpam-3408	1581	5	,	,	PUNCT
ejpam-3408	1581	6	1971	1971	NUM
ejpam-3408	1581	7	.	.	PUNCT
ejpam-3408	1582	1	[	[	X
ejpam-3408	1582	2	219	219	NUM
ejpam-3408	1582	3	]	]	PUNCT
ejpam-3408	1582	4	a.	a.	NOUN
ejpam-3408	1582	5	i.	i.	PROPN
ejpam-3408	1582	6	shirshov	shirshov	PROPN
ejpam-3408	1582	7	.	.	PUNCT
ejpam-3408	1583	1	on	on	ADP
ejpam-3408	1583	2	the	the	DET
ejpam-3408	1583	3	representation	representation	NOUN
ejpam-3408	1583	4	of	of	ADP
ejpam-3408	1583	5	lie	lie	NOUN
ejpam-3408	1583	6	rings	ring	NOUN
ejpam-3408	1583	7	in	in	ADP
ejpam-3408	1583	8	associative	associative	ADJ
ejpam-3408	1583	9	rings	ring	NOUN
ejpam-3408	1583	10	.	.	PUNCT
ejpam-3408	1584	1	uspekhi	uspekhi	PROPN
ejpam-3408	1584	2	mat	mat	PROPN
ejpam-3408	1584	3	.	.	PUNCT
ejpam-3408	1584	4	nauk	nauk	PROPN
ejpam-3408	1584	5	,	,	PUNCT
ejpam-3408	1584	6	5:173–175	5:173–175	NUM
ejpam-3408	1584	7	,	,	PUNCT
ejpam-3408	1584	8	1953	1953	NUM
ejpam-3408	1584	9	.	.	PUNCT
ejpam-3408	1585	1	[	[	X
ejpam-3408	1585	2	220	220	NUM
ejpam-3408	1585	3	]	]	PUNCT
ejpam-3408	1585	4	a.	a.	NOUN
ejpam-3408	1585	5	i.	i.	PROPN
ejpam-3408	1585	6	shirshov	shirshov	PROPN
ejpam-3408	1585	7	.	.	PUNCT
ejpam-3408	1586	1	some	some	DET
ejpam-3408	1586	2	problems	problem	NOUN
ejpam-3408	1586	3	in	in	ADP
ejpam-3408	1586	4	the	the	DET
ejpam-3408	1586	5	theory	theory	NOUN
ejpam-3408	1586	6	of	of	ADP
ejpam-3408	1586	7	rings	ring	NOUN
ejpam-3408	1586	8	that	that	PRON
ejpam-3408	1586	9	are	be	AUX
ejpam-3408	1586	10	nearly	nearly	ADV
ejpam-3408	1586	11	associative	associative	ADJ
ejpam-3408	1586	12	.	.	PUNCT
ejpam-3408	1587	1	uspekhi	uspekhi	PROPN
ejpam-3408	1587	2	mat	mat	PROPN
ejpam-3408	1587	3	.	.	PUNCT
ejpam-3408	1587	4	nauk	nauk	PROPN
ejpam-3408	1587	5	,	,	PUNCT
ejpam-3408	1587	6	13:3–20	13:3–20	NUM
ejpam-3408	1587	7	,	,	PUNCT
ejpam-3408	1587	8	1958	1958	NUM
ejpam-3408	1587	9	.	.	PUNCT
ejpam-3408	1588	1	[	[	X
ejpam-3408	1588	2	221	221	NUM
ejpam-3408	1588	3	]	]	PUNCT
ejpam-3408	1588	4	l.	l.	PROPN
ejpam-3408	1588	5	a.	a.	PROPN
ejpam-3408	1588	6	skorniakov	skorniakov	PROPN
ejpam-3408	1588	7	.	.	PUNCT
ejpam-3408	1589	1	alternative	alternative	ADJ
ejpam-3408	1589	2	division	division	NOUN
ejpam-3408	1589	3	rings	ring	NOUN
ejpam-3408	1589	4	.	.	PUNCT
ejpam-3408	1590	1	ukrain	ukrain	PROPN
ejpam-3408	1590	2	.	.	PUNCT
ejpam-3408	1591	1	mat	mat	NOUN
ejpam-3408	1591	2	.	.	PUNCT
ejpam-3408	1592	1	zh	zh	PROPN
ejpam-3408	1592	2	.	.	PROPN
ejpam-3408	1592	3	,	,	PUNCT
ejpam-3408	1592	4	2:70–85	2:70–85	NUM
ejpam-3408	1592	5	,	,	PUNCT
ejpam-3408	1592	6	1950	1950	NUM
ejpam-3408	1592	7	.	.	PUNCT
ejpam-3408	1593	1	[	[	X
ejpam-3408	1593	2	222	222	NUM
ejpam-3408	1593	3	]	]	X
ejpam-3408	1593	4	l.	l.	PROPN
ejpam-3408	1593	5	a.	a.	PROPN
ejpam-3408	1593	6	skorniakov	skorniakov	PROPN
ejpam-3408	1593	7	.	.	PUNCT
ejpam-3408	1594	1	alternative	alternative	ADJ
ejpam-3408	1594	2	division	division	NOUN
ejpam-3408	1594	3	rings	ring	NOUN
ejpam-3408	1594	4	of	of	ADP
ejpam-3408	1594	5	characteristic	characteristic	ADJ
ejpam-3408	1594	6	2	2	NUM
ejpam-3408	1594	7	and	and	CCONJ
ejpam-3408	1594	8	3	3	NUM
ejpam-3408	1594	9	.	.	PUNCT
ejpam-3408	1595	1	uspekhi	uspekhi	PROPN
ejpam-3408	1595	2	mat	mat	PROPN
ejpam-3408	1595	3	.	.	PUNCT
ejpam-3408	1595	4	nauk	nauk	PROPN
ejpam-3408	1595	5	,	,	PUNCT
ejpam-3408	1595	6	2:94–99	2:94–99	NUM
ejpam-3408	1595	7	,	,	PUNCT
ejpam-3408	1595	8	1950	1950	NUM
ejpam-3408	1595	9	.	.	PUNCT
ejpam-3408	1596	1	[	[	X
ejpam-3408	1596	2	223	223	NUM
ejpam-3408	1596	3	]	]	PUNCT
ejpam-3408	1596	4	l.	l.	PROPN
ejpam-3408	1596	5	a.	a.	PROPN
ejpam-3408	1596	6	skorniakov	skorniakov	PROPN
ejpam-3408	1596	7	.	.	PUNCT
ejpam-3408	1596	8	projective	projective	ADJ
ejpam-3408	1596	9	planes	plane	NOUN
ejpam-3408	1596	10	.	.	PUNCT
ejpam-3408	1597	1	ukrain	ukrain	PROPN
ejpam-3408	1597	2	.	.	PUNCT
ejpam-3408	1598	1	mat	mat	NOUN
ejpam-3408	1598	2	.	.	PUNCT
ejpam-3408	1599	1	zh	zh	PROPN
ejpam-3408	1599	2	.	.	PROPN
ejpam-3408	1599	3	,	,	PUNCT
ejpam-3408	1599	4	6:112–154	6:112–154	PROPN
ejpam-3408	1599	5	,	,	PUNCT
ejpam-3408	1599	6	1951	1951	NUM
ejpam-3408	1599	7	.	.	PUNCT
ejpam-3408	1600	1	[	[	X
ejpam-3408	1600	2	224	224	NUM
ejpam-3408	1600	3	]	]	PUNCT
ejpam-3408	1600	4	l.	l.	PROPN
ejpam-3408	1600	5	a.	a.	PROPN
ejpam-3408	1600	6	skorniakov	skorniakov	PROPN
ejpam-3408	1600	7	.	.	PUNCT
ejpam-3408	1601	1	projective	projective	ADJ
ejpam-3408	1601	2	planes	plane	NOUN
ejpam-3408	1601	3	.	.	PUNCT
ejpam-3408	1602	1	ukrain	ukrain	PROPN
ejpam-3408	1602	2	.	.	PUNCT
ejpam-3408	1603	1	mat	mat	NOUN
ejpam-3408	1603	2	.	.	PUNCT
ejpam-3408	1604	1	zh	zh	PROPN
ejpam-3408	1604	2	.	.	PROPN
ejpam-3408	1604	3	,	,	PUNCT
ejpam-3408	1604	4	15:177–184	15:177–184	NUM
ejpam-3408	1604	5	,	,	PUNCT
ejpam-3408	1604	6	1951	1951	NUM
ejpam-3408	1604	7	.	.	PUNCT
ejpam-3408	1605	1	[	[	X
ejpam-3408	1605	2	225	225	NUM
ejpam-3408	1605	3	]	]	X
ejpam-3408	1605	4	l.	l.	PROPN
ejpam-3408	1605	5	a.	a.	PROPN
ejpam-3408	1605	6	skorniakov	skorniakov	PROPN
ejpam-3408	1605	7	.	.	PUNCT
ejpam-3408	1606	1	right	right	ADJ
ejpam-3408	1606	2	alternative	alternative	ADJ
ejpam-3408	1606	3	fields	field	NOUN
ejpam-3408	1606	4	.	.	PUNCT
ejpam-3408	1607	1	izvestia	izvestia	PROPN
ejpam-3408	1607	2	akad	akad	PROPN
ejpam-3408	1607	3	.	.	PUNCT
ejpam-3408	1608	1	nauk	nauk	PROPN
ejpam-3408	1608	2	sssr	sssr	PROPN
ejpam-3408	1608	3	ser	ser	PROPN
ejpam-3408	1608	4	.	.	PROPN
ejpam-3408	1608	5	math	math	PROPN
ejpam-3408	1608	6	.	.	PUNCT
ejpam-3408	1608	7	,	,	PUNCT
ejpam-3408	1608	8	15:177–184	15:177–184	NUM
ejpam-3408	1608	9	,	,	PUNCT
ejpam-3408	1608	10	1951	1951	NUM
ejpam-3408	1608	11	.	.	PUNCT
ejpam-3408	1609	1	[	[	X
ejpam-3408	1609	2	226	226	NUM
ejpam-3408	1609	3	]	]	PUNCT
ejpam-3408	1609	4	m.	m.	NOUN
ejpam-3408	1609	5	slater	slater	PROPN
ejpam-3408	1609	6	.	.	PUNCT
ejpam-3408	1610	1	weakly	weakly	ADJ
ejpam-3408	1610	2	prime	prime	ADJ
ejpam-3408	1610	3	alternative	alternative	ADJ
ejpam-3408	1610	4	rings	ring	NOUN
ejpam-3408	1610	5	(	(	PUNCT
ejpam-3408	1610	6	abstract	abstract	ADJ
ejpam-3408	1610	7	)	)	PUNCT
ejpam-3408	1610	8	.	.	PUNCT
ejpam-3408	1611	1	notices	notice	VERB
ejpam-3408	1611	2	amer	amer	PROPN
ejpam-3408	1611	3	.	.	PROPN
ejpam-3408	1611	4	math	math	PROPN
ejpam-3408	1611	5	.	.	PUNCT
ejpam-3408	1612	1	soc	soc	PROPN
ejpam-3408	1612	2	.	.	PUNCT
ejpam-3408	1612	3	,	,	PUNCT
ejpam-3408	1612	4	12:367–368	12:367–368	PROPN
ejpam-3408	1612	5	,	,	PUNCT
ejpam-3408	1612	6	1965	1965	NUM
ejpam-3408	1612	7	.	.	PUNCT
ejpam-3408	1613	1	[	[	X
ejpam-3408	1613	2	227	227	NUM
ejpam-3408	1613	3	]	]	PUNCT
ejpam-3408	1613	4	m.	m.	NOUN
ejpam-3408	1613	5	slater	slater	PROPN
ejpam-3408	1613	6	.	.	PUNCT
ejpam-3408	1614	1	nucleus	nucleus	PROPN
ejpam-3408	1614	2	and	and	CCONJ
ejpam-3408	1614	3	center	center	NOUN
ejpam-3408	1614	4	in	in	ADP
ejpam-3408	1614	5	alternative	alternative	ADJ
ejpam-3408	1614	6	rings	ring	NOUN
ejpam-3408	1614	7	.	.	PUNCT
ejpam-3408	1615	1	j.	j.	PROPN
ejpam-3408	1615	2	algebra	algebra	PROPN
ejpam-3408	1615	3	,	,	PUNCT
ejpam-3408	1615	4	7:372–388	7:372–388	NUM
ejpam-3408	1615	5	,	,	PUNCT
ejpam-3408	1615	6	1967	1967	NUM
ejpam-3408	1615	7	.	.	PUNCT
ejpam-3408	1616	1	[	[	X
ejpam-3408	1616	2	228	228	NUM
ejpam-3408	1616	3	]	]	PUNCT
ejpam-3408	1616	4	m.	m.	NOUN
ejpam-3408	1616	5	slater	slater	PROPN
ejpam-3408	1616	6	.	.	PUNCT
ejpam-3408	1617	1	ideals	ideal	NOUN
ejpam-3408	1617	2	in	in	ADP
ejpam-3408	1617	3	semiprime	semiprime	NOUN
ejpam-3408	1617	4	alternative	alternative	PROPN
ejpam-3408	1617	5	rings	ring	NOUN
ejpam-3408	1617	6	.	.	PUNCT
ejpam-3408	1618	1	j.	j.	PROPN
ejpam-3408	1618	2	algebra	algebra	PROPN
ejpam-3408	1618	3	,	,	PUNCT
ejpam-3408	1618	4	8:60–76	8:60–76	NUM
ejpam-3408	1618	5	,	,	PUNCT
ejpam-3408	1618	6	1968	1968	NUM
ejpam-3408	1618	7	.	.	PUNCT
ejpam-3408	1619	1	[	[	X
ejpam-3408	1619	2	229	229	NUM
ejpam-3408	1619	3	]	]	PUNCT
ejpam-3408	1619	4	m.	m.	NOUN
ejpam-3408	1619	5	slater	slater	PROPN
ejpam-3408	1619	6	.	.	PUNCT
ejpam-3408	1620	1	alternative	alternative	ADJ
ejpam-3408	1620	2	rings	ring	NOUN
ejpam-3408	1620	3	with	with	ADP
ejpam-3408	1620	4	d.c.c.i	d.c.c.i	PROPN
ejpam-3408	1620	5	.	.	PUNCT
ejpam-3408	1621	1	j.	j.	PROPN
ejpam-3408	1621	2	algebra	algebra	PROPN
ejpam-3408	1621	3	,	,	PUNCT
ejpam-3408	1621	4	11:102–110	11:102–110	PROPN
ejpam-3408	1621	5	,	,	PUNCT
ejpam-3408	1621	6	1969	1969	NUM
ejpam-3408	1621	7	.	.	PUNCT
ejpam-3408	1622	1	[	[	X
ejpam-3408	1622	2	230	230	NUM
ejpam-3408	1622	3	]	]	PUNCT
ejpam-3408	1622	4	m.	m.	NOUN
ejpam-3408	1622	5	slater	slater	PROPN
ejpam-3408	1622	6	.	.	PUNCT
ejpam-3408	1623	1	alternative	alternative	ADJ
ejpam-3408	1623	2	rings	ring	NOUN
ejpam-3408	1623	3	with	with	ADP
ejpam-3408	1623	4	d.c.c	d.c.c	PROPN
ejpam-3408	1623	5	.	.	PUNCT
ejpam-3408	1623	6	ii	ii	PROPN
ejpam-3408	1623	7	.	.	PUNCT
ejpam-3408	1624	1	j.	j.	PROPN
ejpam-3408	1624	2	algebra	algebra	PROPN
ejpam-3408	1624	3	,	,	PUNCT
ejpam-3408	1624	4	14:464–484	14:464–484	PROPN
ejpam-3408	1624	5	,	,	PUNCT
ejpam-3408	1624	6	1970	1970	NUM
ejpam-3408	1624	7	.	.	PUNCT
ejpam-3408	1625	1	[	[	X
ejpam-3408	1625	2	231	231	NUM
ejpam-3408	1625	3	]	]	PUNCT
ejpam-3408	1625	4	m.	m.	NOUN
ejpam-3408	1625	5	slater	slater	PROPN
ejpam-3408	1625	6	.	.	PUNCT
ejpam-3408	1626	1	prime	prime	ADJ
ejpam-3408	1626	2	alternative	alternative	PROPN
ejpam-3408	1626	3	rings	rings	PROPN
ejpam-3408	1626	4	i.	i.	PROPN
ejpam-3408	1626	5	j.	j.	PROPN
ejpam-3408	1626	6	algebra	algebra	PROPN
ejpam-3408	1626	7	,	,	PUNCT
ejpam-3408	1626	8	15:229–243	15:229–243	PROPN
ejpam-3408	1626	9	,	,	PUNCT
ejpam-3408	1626	10	1970	1970	NUM
ejpam-3408	1626	11	.	.	PUNCT
ejpam-3408	1627	1	[	[	X
ejpam-3408	1627	2	232	232	NUM
ejpam-3408	1627	3	]	]	X
ejpam-3408	1627	4	m.	m.	NOUN
ejpam-3408	1627	5	slater	slater	PROPN
ejpam-3408	1627	6	.	.	PUNCT
ejpam-3408	1628	1	prime	prime	ADJ
ejpam-3408	1628	2	alternative	alternative	PROPN
ejpam-3408	1628	3	rings	rings	PROPN
ejpam-3408	1628	4	ii	ii	PROPN
ejpam-3408	1628	5	.	.	PUNCT
ejpam-3408	1629	1	j.	j.	PROPN
ejpam-3408	1629	2	algebra	algebra	PROPN
ejpam-3408	1629	3	,	,	PUNCT
ejpam-3408	1629	4	15:244–251	15:244–251	NUM
ejpam-3408	1629	5	,	,	PUNCT
ejpam-3408	1629	6	1970	1970	NUM
ejpam-3408	1629	7	.	.	PUNCT
ejpam-3408	1630	1	[	[	X
ejpam-3408	1630	2	233	233	NUM
ejpam-3408	1630	3	]	]	PUNCT
ejpam-3408	1630	4	m.	m.	NOUN
ejpam-3408	1630	5	slater	slater	PROPN
ejpam-3408	1630	6	.	.	PUNCT
ejpam-3408	1631	1	the	the	DET
ejpam-3408	1631	2	socle	socle	NOUN
ejpam-3408	1631	3	of	of	ADP
ejpam-3408	1631	4	an	an	DET
ejpam-3408	1631	5	alternative	alternative	ADJ
ejpam-3408	1631	6	ring	ring	NOUN
ejpam-3408	1631	7	.	.	PUNCT
ejpam-3408	1632	1	j.	j.	PROPN
ejpam-3408	1632	2	algebra	algebra	PROPN
ejpam-3408	1632	3	,	,	PUNCT
ejpam-3408	1632	4	14:443–463	14:443–463	PROPN
ejpam-3408	1632	5	,	,	PUNCT
ejpam-3408	1632	6	1970	1970	NUM
ejpam-3408	1632	7	.	.	PUNCT
ejpam-3408	1633	1	references	reference	NOUN
ejpam-3408	1633	2	406	406	NUM
ejpam-3408	1633	3	[	[	SYM
ejpam-3408	1633	4	234	234	NUM
ejpam-3408	1633	5	]	]	PUNCT
ejpam-3408	1633	6	m.	m.	NOUN
ejpam-3408	1633	7	slater	slater	PROPN
ejpam-3408	1633	8	.	.	PUNCT
ejpam-3408	1634	1	alternative	alternative	ADJ
ejpam-3408	1634	2	rings	ring	NOUN
ejpam-3408	1634	3	with	with	ADP
ejpam-3408	1634	4	d.c.c	d.c.c	NOUN
ejpam-3408	1634	5	.	.	PUNCT
ejpam-3408	1635	1	iii	iii	PROPN
ejpam-3408	1635	2	.	.	PUNCT
ejpam-3408	1636	1	j.	j.	PROPN
ejpam-3408	1636	2	algebra	algebra	PROPN
ejpam-3408	1636	3	,	,	PUNCT
ejpam-3408	1636	4	18:179–200	18:179–200	PROPN
ejpam-3408	1636	5	,	,	PUNCT
ejpam-3408	1636	6	1971	1971	NUM
ejpam-3408	1636	7	.	.	PUNCT
ejpam-3408	1637	1	[	[	X
ejpam-3408	1637	2	235	235	NUM
ejpam-3408	1637	3	]	]	PUNCT
ejpam-3408	1637	4	a.	a.	NOUN
ejpam-3408	1637	5	m.	m.	NOUN
ejpam-3408	1637	6	slinko	slinko	PROPN
ejpam-3408	1637	7	.	.	PUNCT
ejpam-3408	1638	1	locally	locally	ADV
ejpam-3408	1638	2	compact	compact	ADJ
ejpam-3408	1638	3	alternative	alternative	NOUN
ejpam-3408	1638	4	and	and	CCONJ
ejpam-3408	1638	5	jordan	jordan	PROPN
ejpam-3408	1638	6	rings	rings	PROPN
ejpam-3408	1638	7	.	.	PUNCT
ejpam-3408	1639	1	algebra	algebra	NOUN
ejpam-3408	1639	2	logic	logic	NOUN
ejpam-3408	1639	3	,	,	PUNCT
ejpam-3408	1639	4	25:274	25:274	NUM
ejpam-3408	1639	5	–	–	PUNCT
ejpam-3408	1639	6	278	278	NUM
ejpam-3408	1639	7	,	,	PUNCT
ejpam-3408	1639	8	1986	1986	NUM
ejpam-3408	1639	9	.	.	PUNCT
ejpam-3408	1640	1	[	[	X
ejpam-3408	1640	2	236	236	NUM
ejpam-3408	1640	3	]	]	PUNCT
ejpam-3408	1640	4	a.	a.	NOUN
ejpam-3408	1640	5	m.	m.	NOUN
ejpam-3408	1640	6	slinko	slinko	PROPN
ejpam-3408	1640	7	.	.	PUNCT
ejpam-3408	1641	1	locally	locally	ADV
ejpam-3408	1641	2	compact	compact	ADJ
ejpam-3408	1641	3	jordan	jordan	PROPN
ejpam-3408	1641	4	rings	ring	NOUN
ejpam-3408	1641	5	that	that	PRON
ejpam-3408	1641	6	are	be	AUX
ejpam-3408	1641	7	nearly	nearly	ADV
ejpam-3408	1641	8	division	division	NOUN
ejpam-3408	1641	9	rings	ring	NOUN
ejpam-3408	1641	10	.	.	PUNCT
ejpam-3408	1642	1	math	math	NOUN
ejpam-3408	1642	2	.	.	PUNCT
ejpam-3408	1643	1	notes	note	NOUN
ejpam-3408	1643	2	,	,	PUNCT
ejpam-3408	1643	3	43:409–415	43:409–415	PROPN
ejpam-3408	1643	4	,	,	PUNCT
ejpam-3408	1643	5	1988	1988	NUM
ejpam-3408	1643	6	.	.	PUNCT
ejpam-3408	1644	1	[	[	X
ejpam-3408	1644	2	237	237	NUM
ejpam-3408	1644	3	]	]	PUNCT
ejpam-3408	1644	4	m.	m.	NOUN
ejpam-3408	1644	5	f.	f.	PROPN
ejpam-3408	1644	6	smiley	smiley	PROPN
ejpam-3408	1644	7	.	.	PUNCT
ejpam-3408	1645	1	alternative	alternative	ADJ
ejpam-3408	1645	2	regular	regular	ADJ
ejpam-3408	1645	3	rings	ring	NOUN
ejpam-3408	1645	4	without	without	ADP
ejpam-3408	1645	5	nilpotent	nilpotent	ADJ
ejpam-3408	1645	6	elements	element	NOUN
ejpam-3408	1645	7	.	.	PUNCT
ejpam-3408	1646	1	bull	bull	NOUN
ejpam-3408	1646	2	.	.	PUNCT
ejpam-3408	1647	1	amer	amer	PROPN
ejpam-3408	1647	2	.	.	PUNCT
ejpam-3408	1647	3	math	math	PROPN
ejpam-3408	1647	4	.	.	PUNCT
ejpam-3408	1648	1	soc	soc	PROPN
ejpam-3408	1648	2	.	.	PUNCT
ejpam-3408	1648	3	,	,	PUNCT
ejpam-3408	1648	4	53:775–778	53:775–778	NUM
ejpam-3408	1648	5	,	,	PUNCT
ejpam-3408	1648	6	1947	1947	NUM
ejpam-3408	1648	7	.	.	PUNCT
ejpam-3408	1649	1	[	[	X
ejpam-3408	1649	2	238	238	NUM
ejpam-3408	1649	3	]	]	PUNCT
ejpam-3408	1649	4	m.	m.	NOUN
ejpam-3408	1649	5	f.	f.	PROPN
ejpam-3408	1649	6	smiley	smiley	PROPN
ejpam-3408	1649	7	.	.	PUNCT
ejpam-3408	1650	1	the	the	DET
ejpam-3408	1650	2	radical	radical	NOUN
ejpam-3408	1650	3	of	of	ADP
ejpam-3408	1650	4	an	an	DET
ejpam-3408	1650	5	alternative	alternative	ADJ
ejpam-3408	1650	6	ring	ring	NOUN
ejpam-3408	1650	7	.	.	PUNCT
ejpam-3408	1651	1	ann	ann	PROPN
ejpam-3408	1651	2	.	.	PROPN
ejpam-3408	1651	3	of	of	ADP
ejpam-3408	1651	4	math	math	NOUN
ejpam-3408	1651	5	.	.	PUNCT
ejpam-3408	1651	6	,	,	PUNCT
ejpam-3408	1651	7	49:702–709	49:702–709	PROPN
ejpam-3408	1651	8	,	,	PUNCT
ejpam-3408	1651	9	1948	1948	NUM
ejpam-3408	1651	10	.	.	PUNCT
ejpam-3408	1652	1	[	[	X
ejpam-3408	1652	2	239	239	NUM
ejpam-3408	1652	3	]	]	PUNCT
ejpam-3408	1652	4	m.	m.	PROPN
ejpam-3408	1652	5	f.	f.	PROPN
ejpam-3408	1652	6	smiley	smiley	PROPN
ejpam-3408	1652	7	.	.	PUNCT
ejpam-3408	1653	1	jordan	jordan	PROPN
ejpam-3408	1653	2	homomorphisms	homomorphisms	PROPN
ejpam-3408	1653	3	and	and	CCONJ
ejpam-3408	1653	4	right	right	ADJ
ejpam-3408	1653	5	alternative	alternative	ADJ
ejpam-3408	1653	6	rings	ring	NOUN
ejpam-3408	1653	7	.	.	PUNCT
ejpam-3408	1654	1	proc	proc	PROPN
ejpam-3408	1654	2	.	.	PUNCT
ejpam-3408	1655	1	amer	amer	PROPN
ejpam-3408	1655	2	.	.	PUNCT
ejpam-3408	1655	3	math	math	PROPN
ejpam-3408	1655	4	.	.	PUNCT
ejpam-3408	1656	1	soc	soc	PROPN
ejpam-3408	1656	2	.	.	PROPN
ejpam-3408	1656	3	,	,	PUNCT
ejpam-3408	1656	4	8:668–671	8:668–671	NOUN
ejpam-3408	1656	5	,	,	PUNCT
ejpam-3408	1656	6	1957	1957	NUM
ejpam-3408	1656	7	.	.	PUNCT
ejpam-3408	1657	1	[	[	X
ejpam-3408	1657	2	240	240	NUM
ejpam-3408	1657	3	]	]	PUNCT
ejpam-3408	1657	4	m.	m.	PROPN
ejpam-3408	1657	5	f.	f.	PROPN
ejpam-3408	1657	6	smiley	smiley	PROPN
ejpam-3408	1657	7	.	.	PUNCT
ejpam-3408	1658	1	kleinfeld	kleinfeld	PROPN
ejpam-3408	1658	2	’s	’s	PART
ejpam-3408	1658	3	proof	proof	NOUN
ejpam-3408	1658	4	of	of	ADP
ejpam-3408	1658	5	the	the	DET
ejpam-3408	1658	6	bruck	bruck	NOUN
ejpam-3408	1658	7	-	-	PUNCT
ejpam-3408	1658	8	kleinfeld	kleinfeld	NOUN
ejpam-3408	1658	9	-	-	PUNCT
ejpam-3408	1658	10	skornyakov	skornyakov	NOUN
ejpam-3408	1658	11	theorem	theorem	PROPN
ejpam-3408	1658	12	.	.	PROPN
ejpam-3408	1658	13	math	math	PROPN
ejpam-3408	1658	14	.	.	PUNCT
ejpam-3408	1659	1	ann	ann	PROPN
ejpam-3408	1659	2	.	.	PROPN
ejpam-3408	1659	3	,	,	PUNCT
ejpam-3408	1659	4	134:53–57	134:53–57	NUM
ejpam-3408	1659	5	,	,	PUNCT
ejpam-3408	1659	6	1957	1957	NUM
ejpam-3408	1659	7	.	.	PUNCT
ejpam-3408	1660	1	[	[	X
ejpam-3408	1660	2	241	241	X
ejpam-3408	1660	3	]	]	X
ejpam-3408	1660	4	r.	r.	PROPN
ejpam-3408	1660	5	l.	l.	PROPN
ejpam-3408	1660	6	san	san	PROPN
ejpam-3408	1660	7	soucie	soucie	PROPN
ejpam-3408	1660	8	.	.	PUNCT
ejpam-3408	1661	1	right	right	ADJ
ejpam-3408	1661	2	alternative	alternative	ADJ
ejpam-3408	1661	3	division	division	NOUN
ejpam-3408	1661	4	rings	ring	NOUN
ejpam-3408	1661	5	of	of	ADP
ejpam-3408	1661	6	characteristic	characteristic	ADJ
ejpam-3408	1661	7	2	2	NUM
ejpam-3408	1661	8	.	.	PUNCT
ejpam-3408	1661	9	proc	proc	PROPN
ejpam-3408	1661	10	.	.	PUNCT
ejpam-3408	1662	1	amer	amer	PROPN
ejpam-3408	1662	2	.	.	PUNCT
ejpam-3408	1662	3	math	math	PROPN
ejpam-3408	1662	4	.	.	PUNCT
ejpam-3408	1663	1	soc	soc	PROPN
ejpam-3408	1663	2	.	.	PUNCT
ejpam-3408	1663	3	,	,	PUNCT
ejpam-3408	1663	4	6:291–296	6:291–296	NOUN
ejpam-3408	1663	5	,	,	PUNCT
ejpam-3408	1663	6	1955	1955	NUM
ejpam-3408	1663	7	.	.	PUNCT
ejpam-3408	1664	1	[	[	X
ejpam-3408	1664	2	242	242	NUM
ejpam-3408	1664	3	]	]	PUNCT
ejpam-3408	1664	4	r.	r.	PROPN
ejpam-3408	1664	5	l.	l.	PROPN
ejpam-3408	1664	6	san	san	PROPN
ejpam-3408	1664	7	soucie	soucie	PROPN
ejpam-3408	1664	8	.	.	PUNCT
ejpam-3408	1665	1	right	right	ADJ
ejpam-3408	1665	2	alternative	alternative	ADJ
ejpam-3408	1665	3	rings	ring	NOUN
ejpam-3408	1665	4	of	of	ADP
ejpam-3408	1665	5	characteristic	characteristic	ADJ
ejpam-3408	1665	6	two	two	NUM
ejpam-3408	1665	7	.	.	PUNCT
ejpam-3408	1666	1	proc	proc	PROPN
ejpam-3408	1666	2	.	.	PUNCT
ejpam-3408	1667	1	amer	amer	PROPN
ejpam-3408	1667	2	.	.	PUNCT
ejpam-3408	1667	3	math	math	PROPN
ejpam-3408	1667	4	.	.	PUNCT
ejpam-3408	1668	1	soc	soc	PROPN
ejpam-3408	1668	2	.	.	PUNCT
ejpam-3408	1668	3	,	,	PUNCT
ejpam-3408	1668	4	6:716–719	6:716–719	PROPN
ejpam-3408	1668	5	,	,	PUNCT
ejpam-3408	1668	6	1955	1955	NUM
ejpam-3408	1668	7	.	.	PUNCT
ejpam-3408	1669	1	[	[	X
ejpam-3408	1669	2	243	243	NUM
ejpam-3408	1669	3	]	]	PUNCT
ejpam-3408	1669	4	s.	s.	PROPN
ejpam-3408	1669	5	suanmali	suanmali	PROPN
ejpam-3408	1669	6	.	.	PUNCT
ejpam-3408	1670	1	on	on	ADP
ejpam-3408	1670	2	the	the	DET
ejpam-3408	1670	3	relationship	relationship	NOUN
ejpam-3408	1670	4	between	between	ADP
ejpam-3408	1670	5	the	the	DET
ejpam-3408	1670	6	class	class	NOUN
ejpam-3408	1670	7	of	of	ADP
ejpam-3408	1670	8	a	a	DET
ejpam-3408	1670	9	lie	lie	NOUN
ejpam-3408	1670	10	algebra	algebra	NOUN
ejpam-3408	1670	11	and	and	CCONJ
ejpam-3408	1670	12	the	the	DET
ejpam-3408	1670	13	classes	class	NOUN
ejpam-3408	1670	14	of	of	ADP
ejpam-3408	1670	15	its	its	PRON
ejpam-3408	1670	16	subalgebras	subalgebra	NOUN
ejpam-3408	1670	17	.	.	PUNCT
ejpam-3408	1671	1	international	international	ADJ
ejpam-3408	1671	2	journal	journal	PROPN
ejpam-3408	1671	3	of	of	ADP
ejpam-3408	1671	4	algebra	algebra	NOUN
ejpam-3408	1671	5	and	and	CCONJ
ejpam-3408	1671	6	computation	computation	NOUN
ejpam-3408	1671	7	,	,	PUNCT
ejpam-3408	1671	8	18:83–95	18:83–95	NUM
ejpam-3408	1671	9	,	,	PUNCT
ejpam-3408	1671	10	2008	2008	NUM
ejpam-3408	1671	11	.	.	PUNCT
ejpam-3408	1672	1	[	[	X
ejpam-3408	1672	2	244	244	NUM
ejpam-3408	1672	3	]	]	PUNCT
ejpam-3408	1672	4	asima	asima	NOUN
ejpam-3408	1672	5	razzaque	razzaque	NOUN
ejpam-3408	1672	6	t.	t.	PROPN
ejpam-3408	1672	7	shah	shah	PROPN
ejpam-3408	1672	8	and	and	CCONJ
ejpam-3408	1672	9	i.	i.	PROPN
ejpam-3408	1672	10	rehman	rehman	PROPN
ejpam-3408	1672	11	.	.	PUNCT
ejpam-3408	1673	1	application	application	NOUN
ejpam-3408	1673	2	of	of	ADP
ejpam-3408	1673	3	soft	soft	ADJ
ejpam-3408	1673	4	sets	set	NOUN
ejpam-3408	1673	5	to	to	ADP
ejpam-3408	1673	6	non	non	ADJ
ejpam-3408	1673	7	-	-	ADJ
ejpam-3408	1673	8	associative	associative	ADJ
ejpam-3408	1673	9	rings	ring	NOUN
ejpam-3408	1673	10	.	.	PUNCT
ejpam-3408	1674	1	journal	journal	PROPN
ejpam-3408	1674	2	of	of	ADP
ejpam-3408	1674	3	intelligent	intelligent	ADJ
ejpam-3408	1674	4	and	and	CCONJ
ejpam-3408	1674	5	fuzzy	fuzzy	ADJ
ejpam-3408	1674	6	systems	system	NOUN
ejpam-3408	1674	7	,	,	PUNCT
ejpam-3408	1674	8	30(3):1537–1546	30(3):1537–1546	NUM
ejpam-3408	1674	9	,	,	PUNCT
ejpam-3408	1674	10	2016	2016	NUM
ejpam-3408	1674	11	.	.	PUNCT
ejpam-3408	1675	1	[	[	X
ejpam-3408	1675	2	245	245	NUM
ejpam-3408	1675	3	]	]	PUNCT
ejpam-3408	1675	4	f.	f.	PROPN
ejpam-3408	1675	5	rehman	rehman	PROPN
ejpam-3408	1675	6	t.	t.	PROPN
ejpam-3408	1675	7	shah	shah	PROPN
ejpam-3408	1675	8	and	and	CCONJ
ejpam-3408	1675	9	m.	m.	NOUN
ejpam-3408	1675	10	raees	raees	PROPN
ejpam-3408	1675	11	.	.	PUNCT
ejpam-3408	1676	1	on	on	ADP
ejpam-3408	1676	2	near	near	ADV
ejpam-3408	1676	3	left	left	ADJ
ejpam-3408	1676	4	almost	almost	ADV
ejpam-3408	1676	5	rings	ring	NOUN
ejpam-3408	1676	6	.	.	PUNCT
ejpam-3408	1677	1	international	international	ADJ
ejpam-3408	1677	2	mathematical	mathematical	PROPN
ejpam-3408	1677	3	forum	forum	PROPN
ejpam-3408	1677	4	,	,	PUNCT
ejpam-3408	1677	5	6:1103–1111	6:1103–1111	PROPN
ejpam-3408	1677	6	,	,	PUNCT
ejpam-3408	1677	7	2011	2011	NUM
ejpam-3408	1677	8	.	.	PUNCT
ejpam-3408	1678	1	[	[	X
ejpam-3408	1678	2	246	246	NUM
ejpam-3408	1678	3	]	]	X
ejpam-3408	1678	4	g.	g.	PROPN
ejpam-3408	1678	5	ali	ali	PROPN
ejpam-3408	1678	6	t.	t.	PROPN
ejpam-3408	1678	7	shah	shah	PROPN
ejpam-3408	1678	8	and	and	CCONJ
ejpam-3408	1678	9	f.	f.	PROPN
ejpam-3408	1678	10	rehman	rehman	PROPN
ejpam-3408	1678	11	.	.	PUNCT
ejpam-3408	1679	1	direct	direct	ADJ
ejpam-3408	1679	2	sum	sum	NOUN
ejpam-3408	1679	3	of	of	ADP
ejpam-3408	1679	4	ideals	ideal	NOUN
ejpam-3408	1679	5	in	in	ADP
ejpam-3408	1679	6	a	a	DET
ejpam-3408	1679	7	generalized	generalized	ADJ
ejpam-3408	1679	8	la	la	NOUN
ejpam-3408	1679	9	-	-	PUNCT
ejpam-3408	1679	10	ring	ring	NOUN
ejpam-3408	1679	11	.	.	PUNCT
ejpam-3408	1680	1	international	international	ADJ
ejpam-3408	1680	2	mathematical	mathematical	PROPN
ejpam-3408	1680	3	forum	forum	PROPN
ejpam-3408	1680	4	,	,	PUNCT
ejpam-3408	1680	5	6:1095–1101	6:1095–1101	NUM
ejpam-3408	1680	6	,	,	PUNCT
ejpam-3408	1680	7	2011	2011	NUM
ejpam-3408	1680	8	.	.	PUNCT
ejpam-3408	1681	1	[	[	X
ejpam-3408	1681	2	247	247	NUM
ejpam-3408	1681	3	]	]	PUNCT
ejpam-3408	1681	4	m.	m.	NOUN
ejpam-3408	1681	5	raees	raee	VERB
ejpam-3408	1681	6	t.	t.	PROPN
ejpam-3408	1681	7	shah	shah	PROPN
ejpam-3408	1681	8	and	and	CCONJ
ejpam-3408	1681	9	g.	g.	PROPN
ejpam-3408	1681	10	ali	ali	PROPN
ejpam-3408	1681	11	.	.	PUNCT
ejpam-3408	1682	1	on	on	ADP
ejpam-3408	1682	2	la	la	ADJ
ejpam-3408	1682	3	-	-	PUNCT
ejpam-3408	1682	4	modules	module	NOUN
ejpam-3408	1682	5	.	.	PUNCT
ejpam-3408	1683	1	int	int	NOUN
ejpam-3408	1683	2	.	.	PUNCT
ejpam-3408	1684	1	j.	j.	PROPN
ejpam-3408	1684	2	contemp	contemp	PROPN
ejpam-3408	1684	3	.	.	PUNCT
ejpam-3408	1685	1	math	math	NOUN
ejpam-3408	1685	2	.	.	PUNCT
ejpam-3408	1686	1	sciences	science	NOUN
ejpam-3408	1686	2	,	,	PUNCT
ejpam-3408	1686	3	6:999–1006	6:999–1006	NOUN
ejpam-3408	1686	4	,	,	PUNCT
ejpam-3408	1686	5	2011	2011	NUM
ejpam-3408	1686	6	.	.	PUNCT
ejpam-3408	1687	1	[	[	X
ejpam-3408	1687	2	248	248	NUM
ejpam-3408	1687	3	]	]	PUNCT
ejpam-3408	1687	4	n.	n.	NOUN
ejpam-3408	1687	5	kausar	kausar	VERB
ejpam-3408	1687	6	t.	t.	PROPN
ejpam-3408	1687	7	shah	shah	PROPN
ejpam-3408	1687	8	and	and	CCONJ
ejpam-3408	1687	9	i.	i.	PROPN
ejpam-3408	1687	10	rehman	rehman	PROPN
ejpam-3408	1687	11	.	.	PUNCT
ejpam-3408	1688	1	intuitionistics	intuitionistic	NOUN
ejpam-3408	1688	2	fuzzy	fuzzy	ADJ
ejpam-3408	1688	3	normal	normal	ADJ
ejpam-3408	1688	4	subring	subring	NOUN
ejpam-3408	1688	5	over	over	ADP
ejpam-3408	1688	6	a	a	DET
ejpam-3408	1688	7	non	non	ADJ
ejpam-3408	1688	8	-	-	ADJ
ejpam-3408	1688	9	associative	associative	ADJ
ejpam-3408	1688	10	ring	ring	NOUN
ejpam-3408	1688	11	.	.	PUNCT
ejpam-3408	1689	1	an	an	DET
ejpam-3408	1689	2	.	.	NOUN
ejpam-3408	1689	3	stiint	stiint	PROPN
ejpam-3408	1689	4	.	.	PUNCT
ejpam-3408	1690	1	univ	univ	PROPN
ejpam-3408	1690	2	.	.	PUNCT
ejpam-3408	1690	3	”	"	PUNCT
ejpam-3408	1690	4	ovidius	ovidius	PROPN
ejpam-3408	1690	5	”	"	PUNCT
ejpam-3408	1690	6	constanta	constanta	PROPN
ejpam-3408	1690	7	ser	ser	PROPN
ejpam-3408	1690	8	.	.	PROPN
ejpam-3408	1691	1	mat	mat	PROPN
ejpam-3408	1691	2	.	.	PROPN
ejpam-3408	1691	3	,	,	PUNCT
ejpam-3408	1692	1	20:369–386	20:369–386	NUM
ejpam-3408	1692	2	,	,	PUNCT
ejpam-3408	1692	3	2012	2012	NUM
ejpam-3408	1692	4	.	.	PUNCT
ejpam-3408	1693	1	[	[	X
ejpam-3408	1693	2	249	249	NUM
ejpam-3408	1693	3	]	]	PUNCT
ejpam-3408	1693	4	a.	a.	NOUN
ejpam-3408	1693	5	thedy	thedy	NOUN
ejpam-3408	1693	6	.	.	PUNCT
ejpam-3408	1694	1	concerning	concern	VERB
ejpam-3408	1694	2	the	the	DET
ejpam-3408	1694	3	wedderburn	wedderburn	NOUN
ejpam-3408	1694	4	factorization	factorization	NOUN
ejpam-3408	1694	5	theorem	theorem	NOUN
ejpam-3408	1694	6	.	.	PROPN
ejpam-3408	1694	7	math	math	PROPN
ejpam-3408	1694	8	.	.	PUNCT
ejpam-3408	1695	1	z.	z.	PROPN
ejpam-3408	1695	2	,	,	PUNCT
ejpam-3408	1695	3	113:173–195	113:173–195	NUM
ejpam-3408	1695	4	,	,	PUNCT
ejpam-3408	1695	5	1970	1970	NUM
ejpam-3408	1695	6	.	.	PUNCT
ejpam-3408	1696	1	[	[	X
ejpam-3408	1696	2	250	250	NUM
ejpam-3408	1696	3	]	]	PUNCT
ejpam-3408	1696	4	a.	a.	NOUN
ejpam-3408	1696	5	thedy	thedy	NOUN
ejpam-3408	1696	6	.	.	PUNCT
ejpam-3408	1697	1	right	right	ADJ
ejpam-3408	1697	2	alternative	alternative	ADJ
ejpam-3408	1697	3	rings	ring	NOUN
ejpam-3408	1697	4	.	.	PUNCT
ejpam-3408	1698	1	j.	j.	PROPN
ejpam-3408	1698	2	algebra	algebra	PROPN
ejpam-3408	1698	3	,	,	PUNCT
ejpam-3408	1698	4	37:1–43	37:1–43	NUM
ejpam-3408	1698	5	,	,	PUNCT
ejpam-3408	1698	6	1975	1975	NUM
ejpam-3408	1698	7	.	.	PUNCT
ejpam-3408	1699	1	references	reference	NOUN
ejpam-3408	1699	2	407	407	NUM
ejpam-3408	1699	3	[	[	X
ejpam-3408	1699	4	251	251	NUM
ejpam-3408	1699	5	]	]	PUNCT
ejpam-3408	1699	6	c.	c.	PROPN
ejpam-3408	1699	7	e.	e.	PROPN
ejpam-3408	1699	8	tsai	tsai	PROPN
ejpam-3408	1699	9	.	.	PUNCT
ejpam-3408	1700	1	the	the	DET
ejpam-3408	1700	2	prime	prime	ADJ
ejpam-3408	1700	3	radical	radical	PROPN
ejpam-3408	1700	4	in	in	ADP
ejpam-3408	1700	5	jordan	jordan	PROPN
ejpam-3408	1700	6	rings	rings	PROPN
ejpam-3408	1700	7	.	.	PUNCT
ejpam-3408	1701	1	proc	proc	PROPN
ejpam-3408	1701	2	.	.	PUNCT
ejpam-3408	1702	1	amer	amer	PROPN
ejpam-3408	1702	2	.	.	PUNCT
ejpam-3408	1702	3	math	math	PROPN
ejpam-3408	1702	4	.	.	PUNCT
ejpam-3408	1703	1	soc	soc	PROPN
ejpam-3408	1703	2	.	.	PUNCT
ejpam-3408	1703	3	,	,	PUNCT
ejpam-3408	1703	4	19:1171	19:1171	NUM
ejpam-3408	1703	5	–	–	PUNCT
ejpam-3408	1703	6	1175	1175	NUM
ejpam-3408	1703	7	,	,	PUNCT
ejpam-3408	1703	8	1968	1968	NUM
ejpam-3408	1703	9	.	.	PUNCT
ejpam-3408	1704	1	[	[	X
ejpam-3408	1704	2	252	252	NUM
ejpam-3408	1704	3	]	]	PUNCT
ejpam-3408	1704	4	c.	c.	PROPN
ejpam-3408	1704	5	e.	e.	PROPN
ejpam-3408	1704	6	tsai	tsai	PROPN
ejpam-3408	1704	7	.	.	PUNCT
ejpam-3408	1705	1	a	a	DET
ejpam-3408	1705	2	characterization	characterization	NOUN
ejpam-3408	1705	3	of	of	ADP
ejpam-3408	1705	4	the	the	DET
ejpam-3408	1705	5	maximal	maximal	ADJ
ejpam-3408	1705	6	von	von	PROPN
ejpam-3408	1705	7	-	-	PUNCT
ejpam-3408	1705	8	neumann	neumann	PROPN
ejpam-3408	1705	9	regular	regular	ADJ
ejpam-3408	1705	10	ideal	ideal	NOUN
ejpam-3408	1705	11	in	in	ADP
ejpam-3408	1705	12	jordan	jordan	PROPN
ejpam-3408	1705	13	rings	rings	PROPN
ejpam-3408	1705	14	.	.	PUNCT
ejpam-3408	1706	1	j.	j.	PROPN
ejpam-3408	1706	2	algebra	algebra	PROPN
ejpam-3408	1706	3	,	,	PUNCT
ejpam-3408	1706	4	12:227–230	12:227–230	NUM
ejpam-3408	1706	5	,	,	PUNCT
ejpam-3408	1706	6	1969	1969	NUM
ejpam-3408	1706	7	.	.	PUNCT
ejpam-3408	1707	1	[	[	X
ejpam-3408	1707	2	253	253	NUM
ejpam-3408	1707	3	]	]	PUNCT
ejpam-3408	1707	4	c.	c.	PROPN
ejpam-3408	1707	5	e.	e.	PROPN
ejpam-3408	1707	6	tsai	tsai	PROPN
ejpam-3408	1707	7	.	.	PUNCT
ejpam-3408	1708	1	the	the	DET
ejpam-3408	1708	2	levitzki	levitzki	PROPN
ejpam-3408	1708	3	radical	radical	ADJ
ejpam-3408	1708	4	in	in	ADP
ejpam-3408	1708	5	jordan	jordan	PROPN
ejpam-3408	1708	6	rings	rings	PROPN
ejpam-3408	1708	7	.	.	PUNCT
ejpam-3408	1709	1	proc	proc	PROPN
ejpam-3408	1709	2	.	.	PUNCT
ejpam-3408	1710	1	amer	amer	PROPN
ejpam-3408	1710	2	.	.	PUNCT
ejpam-3408	1710	3	math	math	PROPN
ejpam-3408	1710	4	.	.	PUNCT
ejpam-3408	1711	1	soc	soc	PROPN
ejpam-3408	1711	2	.	.	PUNCT
ejpam-3408	1711	3	,	,	PUNCT
ejpam-3408	1711	4	24:119	24:119	NUM
ejpam-3408	1711	5	–	–	PUNCT
ejpam-3408	1711	6	123	123	NUM
ejpam-3408	1711	7	,	,	PUNCT
ejpam-3408	1711	8	1970	1970	NUM
ejpam-3408	1711	9	.	.	PUNCT
ejpam-3408	1712	1	[	[	X
ejpam-3408	1712	2	254	254	NUM
ejpam-3408	1712	3	]	]	PUNCT
ejpam-3408	1712	4	c.	c.	PROPN
ejpam-3408	1712	5	r.	r.	PROPN
ejpam-3408	1712	6	giraldo	giraldo	PROPN
ejpam-3408	1712	7	vergara	vergara	PROPN
ejpam-3408	1712	8	.	.	PUNCT
ejpam-3408	1713	1	a	a	DET
ejpam-3408	1713	2	walk	walk	NOUN
ejpam-3408	1713	3	through	through	ADP
ejpam-3408	1713	4	the	the	DET
ejpam-3408	1713	5	loop	loop	NOUN
ejpam-3408	1713	6	rings	ring	NOUN
ejpam-3408	1713	7	.	.	PUNCT
ejpam-3408	1714	1	rev	rev	PROPN
ejpam-3408	1714	2	.	.	PROPN
ejpam-3408	1714	3	integr	integr	PROPN
ejpam-3408	1714	4	.	.	PUNCT
ejpam-3408	1715	1	temas	temas	PROPN
ejpam-3408	1715	2	mat	mat	PROPN
ejpam-3408	1715	3	.	.	PROPN
ejpam-3408	1715	4	,	,	PUNCT
ejpam-3408	1715	5	30:15–24	30:15–24	NUM
ejpam-3408	1715	6	,	,	PUNCT
ejpam-3408	1715	7	2012	2012	NUM
ejpam-3408	1715	8	.	.	PUNCT
ejpam-3408	1716	1	[	[	X
ejpam-3408	1716	2	255	255	NUM
ejpam-3408	1716	3	]	]	X
ejpam-3408	1716	4	j.	j.	PROPN
ejpam-3408	1716	5	p.	p.	PROPN
ejpam-3408	1716	6	ward	ward	PROPN
ejpam-3408	1716	7	.	.	PUNCT
ejpam-3408	1717	1	quaternions	quaternion	NOUN
ejpam-3408	1717	2	and	and	CCONJ
ejpam-3408	1717	3	cayley	cayley	ADJ
ejpam-3408	1717	4	numbers	number	NOUN
ejpam-3408	1717	5	.	.	PUNCT
ejpam-3408	1718	1	kluwer	kluwer	NOUN
ejpam-3408	1718	2	academic	academic	ADJ
ejpam-3408	1718	3	publishers	publisher	NOUN
ejpam-3408	1718	4	,	,	PUNCT
ejpam-3408	1718	5	dordrecht	dordrecht	PROPN
ejpam-3408	1718	6	,	,	PUNCT
ejpam-3408	1718	7	boston	boston	PROPN
ejpam-3408	1718	8	,	,	PUNCT
ejpam-3408	1718	9	1997	1997	NUM
ejpam-3408	1718	10	.	.	PUNCT
ejpam-3408	1719	1	[	[	X
ejpam-3408	1719	2	256	256	NUM
ejpam-3408	1719	3	]	]	PUNCT
ejpam-3408	1719	4	g.	g.	PROPN
ejpam-3408	1719	5	p.	p.	PROPN
ejpam-3408	1719	6	wene	wene	PROPN
ejpam-3408	1719	7	.	.	PUNCT
ejpam-3408	1720	1	alternative	alternative	ADJ
ejpam-3408	1720	2	rings	ring	NOUN
ejpam-3408	1720	3	whose	whose	DET
ejpam-3408	1720	4	symmetric	symmetric	ADJ
ejpam-3408	1720	5	elements	element	NOUN
ejpam-3408	1720	6	are	be	AUX
ejpam-3408	1720	7	or	or	CCONJ
ejpam-3408	1720	8	a	a	DET
ejpam-3408	1720	9	right	right	ADJ
ejpam-3408	1720	10	multiple	multiple	NOUN
ejpam-3408	1720	11	is	be	AUX
ejpam-3408	1720	12	symmetric	symmetric	ADJ
ejpam-3408	1720	13	idempotent	idempotent	NOUN
ejpam-3408	1720	14	.	.	PUNCT
ejpam-3408	1721	1	pacific	pacific	PROPN
ejpam-3408	1721	2	j.	j.	PROPN
ejpam-3408	1721	3	math	math	PROPN
ejpam-3408	1721	4	.	.	PROPN
ejpam-3408	1721	5	,	,	PUNCT
ejpam-3408	1721	6	90:483–492	90:483–492	NUM
ejpam-3408	1721	7	,	,	PUNCT
ejpam-3408	1721	8	1980	1980	NUM
ejpam-3408	1721	9	.	.	PUNCT
ejpam-3408	1722	1	[	[	X
ejpam-3408	1722	2	257	257	NUM
ejpam-3408	1722	3	]	]	PUNCT
ejpam-3408	1722	4	a.	a.	NOUN
ejpam-3408	1722	5	widiger	widiger	NOUN
ejpam-3408	1722	6	.	.	PUNCT
ejpam-3408	1723	1	alternative	alternative	ADJ
ejpam-3408	1723	2	rings	ring	NOUN
ejpam-3408	1723	3	in	in	ADP
ejpam-3408	1723	4	which	which	PRON
ejpam-3408	1723	5	every	every	DET
ejpam-3408	1723	6	proper	proper	ADJ
ejpam-3408	1723	7	right	right	ADJ
ejpam-3408	1723	8	ideal	ideal	NOUN
ejpam-3408	1723	9	is	be	AUX
ejpam-3408	1723	10	maximal	maximal	ADJ
ejpam-3408	1723	11	.	.	PUNCT
ejpam-3408	1724	1	fund	fund	PROPN
ejpam-3408	1724	2	.	.	PUNCT
ejpam-3408	1725	1	math	math	NOUN
ejpam-3408	1725	2	.	.	PUNCT
ejpam-3408	1725	3	,	,	PUNCT
ejpam-3408	1725	4	116:165–167	116:165–167	NUM
ejpam-3408	1725	5	,	,	PUNCT
ejpam-3408	1725	6	1983	1983	NUM
ejpam-3408	1725	7	.	.	PUNCT
ejpam-3408	1726	1	[	[	X
ejpam-3408	1726	2	258	258	NUM
ejpam-3408	1726	3	]	]	X
ejpam-3408	1726	4	james	james	PROPN
ejpam-3408	1726	5	b.	b.	PROPN
ejpam-3408	1726	6	wilson	wilson	PROPN
ejpam-3408	1726	7	.	.	PUNCT
ejpam-3408	1727	1	more	more	ADJ
ejpam-3408	1727	2	characteristic	characteristic	ADJ
ejpam-3408	1727	3	subgroups	subgroup	NOUN
ejpam-3408	1727	4	,	,	PUNCT
ejpam-3408	1727	5	lie	lie	NOUN
ejpam-3408	1727	6	rings	ring	NOUN
ejpam-3408	1727	7	and	and	CCONJ
ejpam-3408	1727	8	isomorphism	isomorphism	NOUN
ejpam-3408	1727	9	tests	test	NOUN
ejpam-3408	1727	10	for	for	ADP
ejpam-3408	1727	11	p	p	NOUN
ejpam-3408	1727	12	-	-	PUNCT
ejpam-3408	1727	13	groups	group	NOUN
ejpam-3408	1727	14	.	.	PUNCT
ejpam-3408	1728	1	j.	j.	PROPN
ejpam-3408	1728	2	group	group	PROPN
ejpam-3408	1728	3	theory	theory	PROPN
ejpam-3408	1728	4	,	,	PUNCT
ejpam-3408	1728	5	16:875–897	16:875–897	PROPN
ejpam-3408	1728	6	,	,	PUNCT
ejpam-3408	1728	7	2013	2013	NUM
ejpam-3408	1728	8	.	.	PUNCT
ejpam-3408	1729	1	[	[	X
ejpam-3408	1729	2	259	259	NUM
ejpam-3408	1729	3	]	]	X
ejpam-3408	1729	4	james	james	PROPN
ejpam-3408	1729	5	b.	b.	PROPN
ejpam-3408	1729	6	wilson	wilson	PROPN
ejpam-3408	1729	7	.	.	PUNCT
ejpam-3408	1730	1	new	new	ADJ
ejpam-3408	1730	2	lie	lie	NOUN
ejpam-3408	1730	3	products	product	NOUN
ejpam-3408	1730	4	for	for	ADP
ejpam-3408	1730	5	groups	group	NOUN
ejpam-3408	1730	6	and	and	CCONJ
ejpam-3408	1730	7	their	their	PRON
ejpam-3408	1730	8	automorphisms	automorphism	NOUN
ejpam-3408	1730	9	.	.	PUNCT
ejpam-3408	1731	1	arxiv	arxiv	PROPN
ejpam-3408	1731	2	preprint	preprint	VERB
ejpam-3408	1731	3	arxiv:1501.04670	arxiv:1501.04670	PROPN
ejpam-3408	1731	4	,	,	PUNCT
ejpam-3408	1731	5	2015	2015	NUM
ejpam-3408	1731	6	.	.	PUNCT
ejpam-3408	1732	1	[	[	X
ejpam-3408	1732	2	260	260	NUM
ejpam-3408	1732	3	]	]	PUNCT
ejpam-3408	1732	4	e.	e.	PROPN
ejpam-3408	1732	5	witt	witt	PROPN
ejpam-3408	1732	6	.	.	PUNCT
ejpam-3408	1733	1	treue	treue	PROPN
ejpam-3408	1733	2	darstellung	darstellung	PROPN
ejpam-3408	1733	3	liescher	liescher	PROPN
ejpam-3408	1733	4	ringe	ringe	PROPN
ejpam-3408	1733	5	.	.	PUNCT
ejpam-3408	1734	1	journal	journal	PROPN
ejpam-3408	1734	2	fur	fur	NOUN
ejpam-3408	1734	3	die	die	VERB
ejpam-3408	1734	4	reine	reine	PROPN
ejpam-3408	1734	5	und	und	PROPN
ejpam-3408	1734	6	angewandte	angewandte	PROPN
ejpam-3408	1734	7	mathematik	mathematik	PROPN
ejpam-3408	1734	8	,	,	PUNCT
ejpam-3408	1734	9	177:152–160	177:152–160	NUM
ejpam-3408	1734	10	,	,	PUNCT
ejpam-3408	1734	11	1937	1937	NUM
ejpam-3408	1734	12	.	.	PUNCT
ejpam-3408	1735	1	[	[	X
ejpam-3408	1735	2	261	261	NUM
ejpam-3408	1735	3	]	]	PUNCT
ejpam-3408	1735	4	e.	e.	PROPN
ejpam-3408	1735	5	witt	witt	PROPN
ejpam-3408	1735	6	.	.	PUNCT
ejpam-3408	1736	1	treue	treue	PROPN
ejpam-3408	1736	2	darstellung	darstellung	PROPN
ejpam-3408	1736	3	beliebiger	beliebiger	PROPN
ejpam-3408	1736	4	liescher	liescher	PROPN
ejpam-3408	1736	5	ringe	ringe	PROPN
ejpam-3408	1736	6	.	.	PUNCT
ejpam-3408	1737	1	collect	collect	PROPN
ejpam-3408	1737	2	.	.	PUNCT
ejpam-3408	1738	1	math	math	NOUN
ejpam-3408	1738	2	.	.	PUNCT
ejpam-3408	1738	3	,	,	PUNCT
ejpam-3408	1738	4	6:107–114	6:107–114	NUM
ejpam-3408	1738	5	,	,	PUNCT
ejpam-3408	1738	6	1953	1953	NUM
ejpam-3408	1738	7	.	.	PUNCT
ejpam-3408	1739	1	[	[	X
ejpam-3408	1739	2	262	262	NUM
ejpam-3408	1739	3	]	]	X
ejpam-3408	1739	4	e.	e.	PROPN
ejpam-3408	1739	5	witt	witt	PROPN
ejpam-3408	1739	6	.	.	PUNCT
ejpam-3408	1740	1	die	die	VERB
ejpam-3408	1740	2	unterringe	unterringe	PROPN
ejpam-3408	1740	3	der	der	PROPN
ejpam-3408	1740	4	freien	freien	PROPN
ejpam-3408	1740	5	liescher	liescher	PROPN
ejpam-3408	1740	6	ringe	ringe	PROPN
ejpam-3408	1740	7	.	.	PUNCT
ejpam-3408	1741	1	math	math	NOUN
ejpam-3408	1741	2	.	.	PUNCT
ejpam-3408	1742	1	z.	z.	PROPN
ejpam-3408	1742	2	,	,	PUNCT
ejpam-3408	1742	3	64:195–216	64:195–216	PROPN
ejpam-3408	1742	4	,	,	PUNCT
ejpam-3408	1742	5	1956	1956	NUM
ejpam-3408	1742	6	.	.	PUNCT
ejpam-3408	1743	1	[	[	X
ejpam-3408	1743	2	263	263	NUM
ejpam-3408	1743	3	]	]	PUNCT
ejpam-3408	1743	4	p.	p.	NOUN
ejpam-3408	1743	5	yiarayong	yiarayong	PROPN
ejpam-3408	1743	6	.	.	PUNCT
ejpam-3408	1744	1	on	on	ADP
ejpam-3408	1744	2	left	left	ADJ
ejpam-3408	1744	3	primary	primary	ADJ
ejpam-3408	1744	4	and	and	CCONJ
ejpam-3408	1744	5	weakly	weakly	ADJ
ejpam-3408	1744	6	left	left	ADJ
ejpam-3408	1744	7	primary	primary	ADJ
ejpam-3408	1744	8	ideals	ideal	NOUN
ejpam-3408	1744	9	in	in	ADP
ejpam-3408	1744	10	la	la	NOUN
ejpam-3408	1744	11	-	-	PUNCT
ejpam-3408	1744	12	rings	ring	NOUN
ejpam-3408	1744	13	.	.	PUNCT
ejpam-3408	1745	1	asian	asian	ADJ
ejpam-3408	1745	2	journal	journal	PROPN
ejpam-3408	1745	3	of	of	ADP
ejpam-3408	1745	4	applied	apply	VERB
ejpam-3408	1745	5	sciences	science	NOUN
ejpam-3408	1745	6	,	,	PUNCT
ejpam-3408	1745	7	2(4):457–463	2(4):457–463	NUM
ejpam-3408	1745	8	,	,	PUNCT
ejpam-3408	1745	9	2014	2014	NUM
ejpam-3408	1745	10	.	.	PUNCT
ejpam-3408	1746	1	[	[	X
ejpam-3408	1746	2	264	264	NUM
ejpam-3408	1746	3	]	]	X
ejpam-3408	1746	4	dr	dr	PROPN
ejpam-3408	1746	5	.	.	PROPN
ejpam-3408	1746	6	a.	a.	PROPN
ejpam-3408	1746	7	anjaneyulu	anjaneyulu	VERB
ejpam-3408	1746	8	y.s.n.satyanarayana	y.s.n.satyanarayana	PROPN
ejpam-3408	1746	9	and	and	CCONJ
ejpam-3408	1746	10	dr	dr	PROPN
ejpam-3408	1746	11	.	.	PROPN
ejpam-3408	1746	12	d.	d.	PROPN
ejpam-3408	1746	13	prabhakara	prabhakara	PROPN
ejpam-3408	1746	14	reddy	reddy	PROPN
ejpam-3408	1746	15	.	.	PUNCT
ejpam-3408	1747	1	peculiarity	peculiarity	NOUN
ejpam-3408	1747	2	of	of	ADP
ejpam-3408	1747	3	nucleus	nucleus	NOUN
ejpam-3408	1747	4	in	in	ADP
ejpam-3408	1747	5	alternative	alternative	ADJ
ejpam-3408	1747	6	rings	ring	NOUN
ejpam-3408	1747	7	.	.	PUNCT
ejpam-3408	1748	1	international	international	ADJ
ejpam-3408	1748	2	journal	journal	PROPN
ejpam-3408	1748	3	of	of	ADP
ejpam-3408	1748	4	engineering	engineering	NOUN
ejpam-3408	1748	5	research	research	NOUN
ejpam-3408	1748	6	and	and	CCONJ
ejpam-3408	1748	7	general	general	ADJ
ejpam-3408	1748	8	science	science	NOUN
ejpam-3408	1748	9	,	,	PUNCT
ejpam-3408	1748	10	3:556–561	3:556–561	PROPN
ejpam-3408	1748	11	,	,	PUNCT
ejpam-3408	1748	12	2015	2015	NUM
ejpam-3408	1748	13	.	.	PUNCT
ejpam-3408	1749	1	[	[	X
ejpam-3408	1749	2	265	265	NUM
ejpam-3408	1749	3	]	]	PUNCT
ejpam-3408	1749	4	s.	s.	PROPN
ejpam-3408	1749	5	m.	m.	PROPN
ejpam-3408	1749	6	yusuf	yusuf	PROPN
ejpam-3408	1749	7	.	.	PUNCT
ejpam-3408	1750	1	on	on	ADP
ejpam-3408	1750	2	left	left	ADJ
ejpam-3408	1750	3	almost	almost	ADV
ejpam-3408	1750	4	rings	ring	NOUN
ejpam-3408	1750	5	.	.	PUNCT
ejpam-3408	1751	1	in	in	ADP
ejpam-3408	1751	2	proc	proc	PROPN
ejpam-3408	1751	3	.	.	PUNCT
ejpam-3408	1752	1	of	of	ADP
ejpam-3408	1752	2	7th	7th	ADJ
ejpam-3408	1752	3	international	international	ADJ
ejpam-3408	1752	4	pure	pure	ADJ
ejpam-3408	1752	5	math	math	NOUN
ejpam-3408	1752	6	.	.	PUNCT
ejpam-3408	1752	7	,	,	PUNCT
ejpam-3408	1752	8	islamabad	islamabad	PROPN
ejpam-3408	1752	9	,	,	PUNCT
ejpam-3408	1752	10	pakistan	pakistan	PROPN
ejpam-3408	1752	11	,	,	PUNCT
ejpam-3408	1752	12	2006	2006	NUM
ejpam-3408	1752	13	.	.	PUNCT
ejpam-3408	1753	1	pakistan	pakistan	PROPN
ejpam-3408	1753	2	mathematical	mathematical	PROPN
ejpam-3408	1753	3	society	society	NOUN
ejpam-3408	1753	4	,	,	PUNCT
ejpam-3408	1753	5	quaid	quaid	PROPN
ejpam-3408	1753	6	-	-	PUNCT
ejpam-3408	1753	7	i	i	PROPN
ejpam-3408	1753	8	-	-	PUNCT
ejpam-3408	1753	9	azam	azam	PROPN
ejpam-3408	1753	10	university	university	NOUN
ejpam-3408	1753	11	.	.	PUNCT
ejpam-3408	1754	1	[	[	X
ejpam-3408	1754	2	266	266	NUM
ejpam-3408	1754	3	]	]	PUNCT
ejpam-3408	1754	4	a.	a.	NOUN
ejpam-3408	1754	5	j.	j.	PROPN
ejpam-3408	1754	6	zapirain	zapirain	PROPN
ejpam-3408	1754	7	.	.	PUNCT
ejpam-3408	1755	1	on	on	ADP
ejpam-3408	1755	2	almost	almost	ADV
ejpam-3408	1755	3	regular	regular	ADJ
ejpam-3408	1755	4	automorphisms	automorphism	NOUN
ejpam-3408	1755	5	of	of	ADP
ejpam-3408	1755	6	finite	finite	PROPN
ejpam-3408	1755	7	p	p	NOUN
ejpam-3408	1755	8	-	-	PUNCT
ejpam-3408	1755	9	groups	group	NOUN
ejpam-3408	1755	10	.	.	PUNCT
ejpam-3408	1756	1	adv	adv	PROPN
ejpam-3408	1756	2	.	.	PUNCT
ejpam-3408	1756	3	math	math	PROPN
ejpam-3408	1756	4	.	.	PUNCT
ejpam-3408	1756	5	,	,	PUNCT
ejpam-3408	1756	6	153:391–402	153:391–402	NUM
ejpam-3408	1756	7	,	,	PUNCT
ejpam-3408	1756	8	2000	2000	NUM
ejpam-3408	1756	9	.	.	PUNCT
ejpam-3408	1757	1	references	reference	NOUN
ejpam-3408	1757	2	408	408	NUM
ejpam-3408	1758	1	[	[	X
ejpam-3408	1758	2	267	267	NUM
ejpam-3408	1758	3	]	]	X
ejpam-3408	1758	4	a.	a.	NOUN
ejpam-3408	1758	5	i.	i.	PROPN
ejpam-3408	1758	6	zhukov	zhukov	PROPN
ejpam-3408	1758	7	.	.	PUNCT
ejpam-3408	1759	1	complete	complete	ADJ
ejpam-3408	1759	2	systems	system	NOUN
ejpam-3408	1759	3	of	of	ADP
ejpam-3408	1759	4	defining	define	VERB
ejpam-3408	1759	5	relations	relation	NOUN
ejpam-3408	1759	6	in	in	ADP
ejpam-3408	1759	7	non	non	ADJ
ejpam-3408	1759	8	-	-	ADJ
ejpam-3408	1759	9	associative	associative	ADJ
ejpam-3408	1759	10	algebras	algebra	NOUN
ejpam-3408	1759	11	.	.	PUNCT
ejpam-3408	1759	12	mat	mat	PROPN
ejpam-3408	1759	13	.	.	PUNCT
ejpam-3408	1759	14	sb	sb	PROPN
ejpam-3408	1759	15	.	.	PROPN
ejpam-3408	1759	16	,	,	PUNCT
ejpam-3408	1759	17	69:267–280	69:267–280	NUM
ejpam-3408	1759	18	,	,	PUNCT
ejpam-3408	1759	19	1950	1950	NUM
ejpam-3408	1759	20	.	.	PUNCT
ejpam-3408	1760	1	[	[	X
ejpam-3408	1760	2	268	268	NUM
ejpam-3408	1760	3	]	]	PUNCT
ejpam-3408	1760	4	m.	m.	NOUN
ejpam-3408	1760	5	zorn	zorn	PROPN
ejpam-3408	1760	6	.	.	PUNCT
ejpam-3408	1761	1	theorie	theorie	PROPN
ejpam-3408	1761	2	der	der	PROPN
ejpam-3408	1761	3	alternativen	alternativen	PROPN
ejpam-3408	1761	4	ringe	ringe	PROPN
ejpam-3408	1761	5	.	.	PUNCT
ejpam-3408	1762	1	abh	abh	PROPN
ejpam-3408	1762	2	.	.	PUNCT
ejpam-3408	1762	3	math	math	PROPN
ejpam-3408	1762	4	.	.	PUNCT
ejpam-3408	1763	1	semin	semin	PROPN
ejpam-3408	1763	2	.	.	PUNCT
ejpam-3408	1764	1	univ	univ	PROPN
ejpam-3408	1764	2	.	.	PUNCT
ejpam-3408	1765	1	hambg	hambg	PROPN
ejpam-3408	1765	2	.	.	PROPN
ejpam-3408	1765	3	,	,	PUNCT
ejpam-3408	1765	4	8:123	8:123	NUM
ejpam-3408	1765	5	–	–	PUNCT
ejpam-3408	1765	6	147	147	NUM
ejpam-3408	1765	7	,	,	PUNCT
ejpam-3408	1765	8	1930	1930	NUM
ejpam-3408	1765	9	.	.	PUNCT
ejpam-3408	1766	1	[	[	X
ejpam-3408	1766	2	269	269	NUM
ejpam-3408	1766	3	]	]	PUNCT
ejpam-3408	1766	4	m.	m.	NOUN
ejpam-3408	1766	5	zorn	zorn	PROPN
ejpam-3408	1766	6	.	.	PUNCT
ejpam-3408	1767	1	alternativkr	alternativkr	NOUN
ejpam-3408	1767	2	per	per	ADP
ejpam-3408	1767	3	und	und	PROPN
ejpam-3408	1767	4	quadratische	quadratische	PROPN
ejpam-3408	1767	5	systme	systme	PROPN
ejpam-3408	1767	6	.	.	PUNCT
ejpam-3408	1768	1	abh	abh	PROPN
ejpam-3408	1768	2	.	.	PUNCT
ejpam-3408	1768	3	math	math	PROPN
ejpam-3408	1768	4	.	.	PUNCT
ejpam-3408	1769	1	semin	semin	PROPN
ejpam-3408	1769	2	.	.	PUNCT
ejpam-3408	1770	1	univ	univ	PROPN
ejpam-3408	1770	2	.	.	PUNCT
ejpam-3408	1771	1	hambg	hambg	PROPN
ejpam-3408	1771	2	.	.	PROPN
ejpam-3408	1771	3	,	,	PUNCT
ejpam-3408	1771	4	9:395–402	9:395–402	PROPN
ejpam-3408	1771	5	,	,	PUNCT
ejpam-3408	1771	6	1933	1933	NUM
ejpam-3408	1771	7	.	.	PUNCT
ejpam-3408	1772	1	[	[	X
ejpam-3408	1772	2	270	270	NUM
ejpam-3408	1772	3	]	]	PUNCT
ejpam-3408	1772	4	m.	m.	NOUN
ejpam-3408	1772	5	zorn	zorn	PROPN
ejpam-3408	1772	6	.	.	PUNCT
ejpam-3408	1773	1	the	the	DET
ejpam-3408	1773	2	automorphisms	automorphism	NOUN
ejpam-3408	1773	3	of	of	ADP
ejpam-3408	1773	4	cayley	cayley	PROPN
ejpam-3408	1773	5	’s	’s	PART
ejpam-3408	1773	6	non	non	ADJ
ejpam-3408	1773	7	-	-	ADJ
ejpam-3408	1773	8	associative	associative	ADJ
ejpam-3408	1773	9	algebra	algebra	NOUN
ejpam-3408	1773	10	.	.	PUNCT
ejpam-3408	1774	1	proc	proc	PROPN
ejpam-3408	1774	2	.	.	PUNCT
ejpam-3408	1775	1	natl	natl	PROPN
ejpam-3408	1775	2	.	.	PUNCT
ejpam-3408	1776	1	acad	acad	PROPN
ejpam-3408	1776	2	.	.	PUNCT
ejpam-3408	1777	1	sci	sci	PROPN
ejpam-3408	1777	2	.	.	PROPN
ejpam-3408	1777	3	usa	usa	PROPN
ejpam-3408	1777	4	,	,	PUNCT
ejpam-3408	1777	5	21:355–358	21:355–358	PROPN
ejpam-3408	1777	6	,	,	PUNCT
ejpam-3408	1777	7	1935	1935	NUM
ejpam-3408	1777	8	.	.	PUNCT
ejpam-3408	1778	1	[	[	X
ejpam-3408	1778	2	271	271	NUM
ejpam-3408	1778	3	]	]	X
ejpam-3408	1778	4	m.	m.	NOUN
ejpam-3408	1778	5	zorn	zorn	PROPN
ejpam-3408	1778	6	.	.	PUNCT
ejpam-3408	1779	1	alternative	alternative	ADJ
ejpam-3408	1779	2	rings	ring	NOUN
ejpam-3408	1779	3	and	and	CCONJ
ejpam-3408	1779	4	related	related	ADJ
ejpam-3408	1779	5	questions	question	NOUN
ejpam-3408	1779	6	i	i	PRON
ejpam-3408	1779	7	:	:	PUNCT
ejpam-3408	1779	8	existence	existence	NOUN
ejpam-3408	1779	9	of	of	ADP
ejpam-3408	1779	10	the	the	DET
ejpam-3408	1779	11	radical	radical	NOUN
ejpam-3408	1779	12	.	.	PUNCT
ejpam-3408	1780	1	ann	ann	PROPN
ejpam-3408	1780	2	.	.	PROPN
ejpam-3408	1780	3	of	of	ADP
ejpam-3408	1780	4	math	math	NOUN
ejpam-3408	1780	5	.	.	PUNCT
ejpam-3408	1780	6	,	,	PUNCT
ejpam-3408	1780	7	42:676–686	42:676–686	PROPN
ejpam-3408	1780	8	,	,	PUNCT
ejpam-3408	1780	9	1941	1941	NUM
ejpam-3408	1780	10	.	.	PUNCT