id	sid	tid	token	lemma	pos
cana-1297	1	1	communications	communication	NOUN
cana-1297	1	2	on	on	ADP
cana-1297	1	3	applied	apply	VERB
cana-1297	1	4	nonlinear	nonlinear	ADJ
cana-1297	1	5	analysis	analysis	NOUN
cana-1297	1	6	issn	issn	NOUN
cana-1297	1	7	:	:	PUNCT
cana-1297	1	8	1074	1074	NUM
cana-1297	1	9	-	-	PUNCT
cana-1297	1	10	133x	133x	NUM
cana-1297	1	11	vol	vol	NOUN
cana-1297	1	12	31	31	NUM
cana-1297	1	13	no	no	NOUN
cana-1297	1	14	.	.	PUNCT
cana-1297	2	1	7s	7	NOUN
cana-1297	2	2	(	(	PUNCT
cana-1297	2	3	2024	2024	NUM
cana-1297	2	4	)	)	PUNCT
cana-1297	2	5	222	222	NUM
cana-1297	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1297	2	7	on	on	ADP
cana-1297	2	8	primitive	primitive	ADJ
cana-1297	2	9	ternary	ternary	ADJ
cana-1297	2	10	г	г	NOUN
cana-1297	2	11	-	-	PUNCT
cana-1297	2	12	semirings	semirings	PROPN
cana-1297	2	13	k.	k.	PROPN
cana-1297	2	14	maha	maha	PROPN
cana-1297	2	15	lakshmi,1,2	lakshmi,1,2	PROPN
cana-1297	2	16	,	,	PUNCT
cana-1297	2	17	p.	p.	NOUN
cana-1297	2	18	siva	siva	PROPN
cana-1297	2	19	prasad3	prasad3	PROPN
cana-1297	2	20	,	,	PUNCT
cana-1297	2	21	d.madhusudana	d.madhusudana	NOUN
cana-1297	2	22	rao4	rao4	PROPN
cana-1297	2	23	1	1	NUM
cana-1297	2	24	research	research	NOUN
cana-1297	2	25	scholar	scholar	NOUN
cana-1297	2	26	,	,	PUNCT
cana-1297	2	27	department	department	NOUN
cana-1297	2	28	of	of	ADP
cana-1297	2	29	mathematics	mathematic	NOUN
cana-1297	2	30	,	,	PUNCT
cana-1297	2	31	vfstr	vfstr	NOUN
cana-1297	2	32	deemed	deem	VERB
cana-1297	2	33	to	to	PART
cana-1297	2	34	be	be	AUX
cana-1297	2	35	university	university	NOUN
cana-1297	2	36	,	,	PUNCT
cana-1297	2	37	vadlamudi	vadlamudi	NOUN
cana-1297	2	38	,	,	PUNCT
cana-1297	2	39	guntur	guntur	PROPN
cana-1297	2	40	,	,	PUNCT
cana-1297	2	41	andhra	andhra	PROPN
cana-1297	2	42	pradesh	pradesh	PROPN
cana-1297	2	43	,	,	PUNCT
cana-1297	2	44	india	india	PROPN
cana-1297	2	45	,	,	PUNCT
cana-1297	2	46	mailid	mailid	NOUN
cana-1297	2	47	:	:	PUNCT
cana-1297	3	1	mhlakahmi@gmail.com	mhlakahmi@gmail.com	X
cana-1297	3	2	.	.	PUNCT
cana-1297	4	1	2assistant	2assistant	NUM
cana-1297	4	2	professor	professor	NOUN
cana-1297	4	3	,	,	PUNCT
cana-1297	4	4	department	department	NOUN
cana-1297	4	5	of	of	ADP
cana-1297	4	6	mathematics	mathematic	NOUN
cana-1297	4	7	,	,	PUNCT
cana-1297	4	8	vignan	vignan	NOUN
cana-1297	4	9	nirulla	nirulla	NOUN
cana-1297	4	10	engineering	engineering	PROPN
cana-1297	4	11	college	college	PROPN
cana-1297	4	12	,	,	PUNCT
cana-1297	4	13	guntur	guntur	PROPN
cana-1297	4	14	,	,	PUNCT
cana-1297	4	15	andhra	andhra	PROPN
cana-1297	4	16	pradesh	pradesh	PROPN
cana-1297	4	17	,	,	PUNCT
cana-1297	4	18	india	india	PROPN
cana-1297	4	19	,	,	PUNCT
cana-1297	4	20	mail	mail	NOUN
cana-1297	4	21	i	i	NOUN
cana-1297	4	22	d	d	PROPN
cana-1297	4	23	:	:	PUNCT
cana-1297	4	24	mhlakahmi@gmail.com	mhlakahmi@gmail.com	X
cana-1297	4	25	.	.	PUNCT
cana-1297	5	1	3associate	3associate	NUM
cana-1297	5	2	professor	professor	NOUN
cana-1297	5	3	,	,	PUNCT
cana-1297	5	4	department	department	NOUN
cana-1297	5	5	of	of	ADP
cana-1297	5	6	computer	computer	NOUN
cana-1297	5	7	science	science	PROPN
cana-1297	5	8	&	&	CCONJ
cana-1297	5	9	engineering	engineering	PROPN
cana-1297	5	10	,	,	PUNCT
cana-1297	5	11	school	school	NOUN
cana-1297	5	12	of	of	ADP
cana-1297	5	13	computing	computing	PROPN
cana-1297	5	14	&	&	CCONJ
cana-1297	5	15	informatics	informatics	PROPN
cana-1297	5	16	,	,	PUNCT
cana-1297	5	17	vfstr	vfstr	NOUN
cana-1297	5	18	deemed	deem	VERB
cana-1297	5	19	to	to	ADP
cana-1297	5	20	university	university	NOUN
cana-1297	5	21	,	,	PUNCT
cana-1297	5	22	vadlamudi	vadlamudi	NOUN
cana-1297	5	23	,	,	PUNCT
cana-1297	5	24	guntur	guntur	PROPN
cana-1297	5	25	,	,	PUNCT
cana-1297	5	26	a.p	a.p	PROPN
cana-1297	5	27	,	,	PUNCT
cana-1297	5	28	india	india	PROPN
cana-1297	5	29	,	,	PUNCT
cana-1297	5	30	mailid:pusapatisivaprasad@gmail.com	mailid:pusapatisivaprasad@gmail.com	X
cana-1297	5	31	4professor	4professor	NUM
cana-1297	5	32	of	of	ADP
cana-1297	5	33	mathematics	mathematic	NOUN
cana-1297	5	34	,	,	PUNCT
cana-1297	5	35	government	government	NOUN
cana-1297	5	36	college	college	NOUN
cana-1297	5	37	for	for	ADP
cana-1297	5	38	women(a	women(a	PROPN
cana-1297	5	39	)	)	PUNCT
cana-1297	5	40	,	,	PUNCT
cana-1297	5	41	samba	samba	PROPN
cana-1297	5	42	siva	siva	PROPN
cana-1297	5	43	peta	peta	PROPN
cana-1297	5	44	rd	rd	PROPN
cana-1297	5	45	,	,	PUNCT
cana-1297	5	46	opp	opp	PROPN
cana-1297	5	47	:	:	PUNCT
cana-1297	5	48	ac	ac	PROPN
cana-1297	5	49	college	college	PROPN
cana-1297	5	50	,	,	PUNCT
cana-1297	5	51	samba	samba	PROPN
cana-1297	5	52	siva	siva	PROPN
cana-1297	5	53	pet	pet	PROPN
cana-1297	5	54	,	,	PUNCT
cana-1297	5	55	guntur	guntur	PROPN
cana-1297	5	56	,	,	PUNCT
cana-1297	5	57	andhra	andhra	PROPN
cana-1297	5	58	pradesh	pradesh	PROPN
cana-1297	5	59	,	,	PUNCT
cana-1297	5	60	india,mailid:dmrmaths@gmail.com	india,mailid:dmrmaths@gmail.com	X
cana-1297	5	61	article	article	NOUN
cana-1297	5	62	history	history	NOUN
cana-1297	5	63	:	:	PUNCT
cana-1297	5	64	received	receive	VERB
cana-1297	5	65	:	:	PUNCT
cana-1297	5	66	01	01	NUM
cana-1297	5	67	-	-	PUNCT
cana-1297	5	68	06	06	NUM
cana-1297	5	69	-	-	PUNCT
cana-1297	5	70	2024	2024	NUM
cana-1297	5	71	revised	revise	VERB
cana-1297	5	72	:	:	PUNCT
cana-1297	5	73	03	03	NUM
cana-1297	5	74	-	-	PUNCT
cana-1297	5	75	07	07	NUM
cana-1297	5	76	-	-	PUNCT
cana-1297	5	77	2024	2024	NUM
cana-1297	5	78	accepted	accept	VERB
cana-1297	5	79	:	:	PUNCT
cana-1297	5	80	29	29	NUM
cana-1297	5	81	-	-	SYM
cana-1297	5	82	07	07	NUM
cana-1297	5	83	-	-	PUNCT
cana-1297	5	84	2024	2024	NUM
cana-1297	5	85	abstract	abstract	NOUN
cana-1297	5	86	:	:	PUNCT
cana-1297	5	87	subsequent	subsequent	ADJ
cana-1297	5	88	to	to	ADP
cana-1297	5	89	presenting	present	VERB
cana-1297	5	90	the	the	DET
cana-1297	5	91	thoughts	thought	NOUN
cana-1297	5	92	of	of	ADP
cana-1297	5	93	primitive	primitive	ADJ
cana-1297	5	94	ternary	ternary	ADJ
cana-1297	5	95	г	г	NOUN
cana-1297	5	96	-	-	PUNCT
cana-1297	5	97	semi	semi	ADJ
cana-1297	5	98	ring	ring	NOUN
cana-1297	5	99	along	along	ADP
cana-1297	5	100	with	with	ADP
cana-1297	5	101	primitive	primitive	ADJ
cana-1297	5	102	ideal	ideal	NOUN
cana-1297	5	103	of	of	ADP
cana-1297	5	104	a	a	DET
cana-1297	5	105	г	г	NOUN
cana-1297	5	106	-	-	PUNCT
cana-1297	5	107	semi	semi	ADJ
cana-1297	5	108	ring	ring	NOUN
cana-1297	5	109	we	we	PRON
cana-1297	5	110	concentrate	concentrate	VERB
cana-1297	5	111	on	on	ADP
cana-1297	5	112	them	they	PRON
cana-1297	5	113	through	through	ADP
cana-1297	5	114	operator	operator	NOUN
cana-1297	5	115	semi	semi	ADJ
cana-1297	5	116	ring	ring	NOUN
cana-1297	5	117	and	and	CCONJ
cana-1297	5	118	get	get	VERB
cana-1297	5	119	a	a	DET
cana-1297	5	120	few	few	ADJ
cana-1297	5	121	outcomes	outcome	NOUN
cana-1297	5	122	similar	similar	ADJ
cana-1297	5	123	to	to	ADP
cana-1297	5	124	those	those	PRON
cana-1297	5	125	of	of	ADP
cana-1297	5	126	semi	semi	ADJ
cana-1297	5	127	ring	ring	NOUN
cana-1297	5	128	hypothesis	hypothesis	NOUN
cana-1297	5	129	.	.	PUNCT
cana-1297	6	1	keywords	keyword	NOUN
cana-1297	6	2	:	:	PUNCT
cana-1297	6	3	semi	semi	ADJ
cana-1297	6	4	-	-	ADJ
cana-1297	6	5	irreducible	irreducible	ADJ
cana-1297	6	6	,	,	PUNCT
cana-1297	6	7	irreducible	irreducible	ADJ
cana-1297	6	8	,	,	PUNCT
cana-1297	6	9	faithul	faithul	PROPN
cana-1297	6	10	гs	гs	PROPN
cana-1297	6	11	-	-	PUNCT
cana-1297	6	12	semimodules	semimodule	NOUN
cana-1297	6	13	,	,	PUNCT
cana-1297	6	14	primitive	primitive	ADJ
cana-1297	6	15	ternary	ternary	ADJ
cana-1297	6	16	г	г	NOUN
cana-1297	6	17	-	-	PUNCT
cana-1297	6	18	semi	semi	ADJ
cana-1297	6	19	ring	ring	NOUN
cana-1297	6	20	.	.	PUNCT
cana-1297	7	1	ams	am	NOUN
cana-1297	7	2	mathematics	mathematics	PROPN
cana-1297	7	3	subject	subject	ADJ
cana-1297	7	4	classification	classification	NOUN
cana-1297	7	5	.	.	PUNCT
cana-1297	8	1	16y60	16y60	NUM
cana-1297	8	2	,	,	PUNCT
cana-1297	8	3	16y99	16y99	NUM
cana-1297	8	4	,	,	PUNCT
cana-1297	8	5	20n10	20n10	NUM
cana-1297	8	6	1	1	NUM
cana-1297	8	7	.	.	PUNCT
cana-1297	9	1	introduction	introduction	NOUN
cana-1297	9	2	:	:	PUNCT
cana-1297	9	3	presenting	present	VERB
cana-1297	9	4	the	the	DET
cana-1297	9	5	thought	thought	NOUN
cana-1297	9	6	of	of	ADP
cana-1297	9	7	ternary	ternary	ADJ
cana-1297	9	8	г	г	NOUN
cana-1297	9	9	-	-	PUNCT
cana-1297	9	10	semiring	semiring	ADJ
cana-1297	9	11	s	s	NOUN
cana-1297	9	12	-	-	PUNCT
cana-1297	9	13	semimodule	semimodule	NOUN
cana-1297	9	14	entitled	entitle	VERB
cana-1297	9	15	гs	гs	NOUN
cana-1297	9	16	-	-	PUNCT
cana-1297	9	17	semimodule	semimodule	NOUN
cana-1297	9	18	alongside	alongside	ADP
cana-1297	9	19	the	the	DET
cana-1297	9	20	thoughts	thought	NOUN
cana-1297	9	21	of	of	ADP
cana-1297	9	22	semi	semi	ADJ
cana-1297	9	23	-	-	ADJ
cana-1297	9	24	irreducible	irreducible	ADJ
cana-1297	9	25	,	,	PUNCT
cana-1297	9	26	irreducible	irreducible	ADJ
cana-1297	9	27	,	,	PUNCT
cana-1297	9	28	faithul	faithul	PROPN
cana-1297	9	29	гs	гs	PROPN
cana-1297	9	30	-	-	NOUN
cana-1297	9	31	semimodules	semimodule	NOUN
cana-1297	9	32	with	with	ADP
cana-1297	9	33	a	a	DET
cana-1297	9	34	goal	goal	NOUN
cana-1297	9	35	to	to	PART
cana-1297	9	36	present	present	VERB
cana-1297	9	37	the	the	DET
cana-1297	9	38	idea	idea	NOUN
cana-1297	9	39	of	of	ADP
cana-1297	9	40	primitive	primitive	ADJ
cana-1297	9	41	г	г	NOUN
cana-1297	9	42	-	-	PUNCT
cana-1297	9	43	semiring	semiring	NOUN
cana-1297	9	44	in	in	ADP
cana-1297	9	45	addition	addition	NOUN
cana-1297	9	46	to	to	PART
cana-1297	9	47	prospect	prospect	VERB
cana-1297	9	48	to	to	PART
cana-1297	9	49	present	present	VERB
cana-1297	9	50	the	the	DET
cana-1297	9	51	idea	idea	NOUN
cana-1297	9	52	of	of	ADP
cana-1297	9	53	jacobson	jacobson	PROPN
cana-1297	9	54	radical	radical	PROPN
cana-1297	9	55	.	.	PUNCT
cana-1297	10	1	now	now	ADV
cana-1297	10	2	we	we	PRON
cana-1297	10	3	concentrate	concentrate	VERB
cana-1297	10	4	on	on	ADP
cana-1297	10	5	primitive	primitive	ADJ
cana-1297	10	6	tг	tг	ADV
cana-1297	10	7	-	-	PUNCT
cana-1297	10	8	semiring	semiring	NOUN
cana-1297	10	9	by	by	ADP
cana-1297	10	10	means	mean	NOUN
cana-1297	10	11	of	of	ADP
cana-1297	10	12	the	the	DET
cana-1297	10	13	operator	operator	NOUN
cana-1297	10	14	semirings	semiring	NOUN
cana-1297	10	15	.	.	PUNCT
cana-1297	11	1	we	we	PRON
cana-1297	11	2	confirm	confirm	VERB
cana-1297	11	3	that	that	SCONJ
cana-1297	11	4	by	by	ADP
cana-1297	11	5	[	[	X
cana-1297	11	6	6	6	NUM
cana-1297	11	7	]	]	PUNCT
cana-1297	11	8	a	a	DET
cana-1297	11	9	right	right	ADJ
cana-1297	11	10	operator	operator	NOUN
cana-1297	11	11	semiring	semire	VERB
cana-1297	11	12	r	r	NOUN
cana-1297	11	13	is	be	AUX
cana-1297	11	14	primitive	primitive	ADJ
cana-1297	11	15	iff	iff	ADJ
cana-1297	11	16	tг	tг	PROPN
cana-1297	11	17	-	-	PUNCT
cana-1297	11	18	semiring	semire	VERB
cana-1297	11	19	s	s	NOUN
cana-1297	11	20	is	be	AUX
cana-1297	11	21	primitive	primitive	ADJ
cana-1297	11	22	.	.	PUNCT
cana-1297	12	1	in	in	ADP
cana-1297	12	2	conclusion	conclusion	NOUN
cana-1297	12	3	,	,	PUNCT
cana-1297	12	4	“	"	PUNCT
cana-1297	12	5	primitive	primitive	ADJ
cana-1297	12	6	h	h	NOUN
cana-1297	12	7	-	-	PUNCT
cana-1297	12	8	ideal	ideal	NOUN
cana-1297	12	9	of	of	ADP
cana-1297	12	10	a	a	DET
cana-1297	12	11	tг	tг	ADV
cana-1297	12	12	-	-	PUNCT
cana-1297	12	13	semiring	semire	VERB
cana-1297	12	14	s	s	VERB
cana-1297	12	15	utilizing	utilize	VERB
cana-1297	12	16	the	the	DET
cana-1297	12	17	connection	connection	NOUN
cana-1297	12	18	amid	amid	ADP
cana-1297	12	19	the	the	DET
cana-1297	12	20	annihilator	annihilator	NOUN
cana-1297	12	21	of	of	ADP
cana-1297	12	22	an	an	DET
cana-1297	12	23	irreducible	irreducible	ADJ
cana-1297	12	24	tгs	tгs	NOUN
cana-1297	12	25	-	-	PUNCT
cana-1297	12	26	semimodule	semimodule	NOUN
cana-1297	12	27	m	m	VERB
cana-1297	12	28	in	in	ADP
cana-1297	12	29	s	s	PRON
cana-1297	12	30	with	with	ADP
cana-1297	12	31	the	the	DET
cana-1297	12	32	aim	aim	NOUN
cana-1297	12	33	of	of	ADP
cana-1297	12	34	m	m	PROPN
cana-1297	12	35	in	in	ADP
cana-1297	12	36	the	the	DET
cana-1297	12	37	right	right	ADJ
cana-1297	12	38	operator	operator	NOUN
cana-1297	12	39	semiring	semire	VERB
cana-1297	12	40	r	r	NOUN
cana-1297	12	41	of	of	ADP
cana-1297	12	42	tг	tг	ADV
cana-1297	12	43	-	-	PUNCT
cana-1297	12	44	semiring	semire	VERB
cana-1297	12	45	s	s	NOUN
cana-1297	12	46	”	"	PUNCT
cana-1297	12	47	.	.	PUNCT
cana-1297	13	1	“	"	PUNCT
cana-1297	13	2	throughout	throughout	ADP
cana-1297	13	3	this	this	DET
cana-1297	13	4	paper	paper	NOUN
cana-1297	13	5	tг	tг	ADV
cana-1297	13	6	-	-	PUNCT
cana-1297	13	7	semiring	semire	VERB
cana-1297	13	8	tг	tг	PROPN
cana-1297	13	9	-	-	PUNCT
cana-1297	13	10	s	s	PROPN
cana-1297	13	11	,	,	PUNCT
cana-1297	13	12	ternary	ternary	ADJ
cana-1297	13	13	гs	гs	NOUN
cana-1297	13	14	-	-	PUNCT
cana-1297	13	15	semimodule	semimodule	NOUN
cana-1297	13	16	denoted	denote	VERB
cana-1297	13	17	by	by	ADP
cana-1297	13	18	tгs	tгs	PROPN
cana-1297	13	19	-	-	PUNCT
cana-1297	13	20	s	s	PROPN
cana-1297	13	21	,	,	PUNCT
cana-1297	13	22	ternary	ternary	ADJ
cana-1297	13	23	гssubsemimodule	гssubsemimodule	NOUN
cana-1297	13	24	denoted	denote	VERB
cana-1297	13	25	by	by	ADP
cana-1297	13	26	tгs	tгs	PROPN
cana-1297	13	27	-	-	PUNCT
cana-1297	13	28	ss	ss	PROPN
cana-1297	13	29	,	,	PUNCT
cana-1297	13	30	irreducible	irreducible	ADJ
cana-1297	13	31	tг	tг	NOUN
cana-1297	13	32	-	-	PUNCT
cana-1297	13	33	semimoduleitг	semimoduleitг	NOUN
cana-1297	13	34	-	-	PUNCT
cana-1297	13	35	s	s	NOUN
cana-1297	13	36	,	,	PUNCT
cana-1297	13	37	irreducible	irreducible	ADJ
cana-1297	13	38	tгssemimoduleitгs	tгssemimoduleitгs	NOUN
cana-1297	13	39	-	-	PUNCT
cana-1297	13	40	s	s	PROPN
cana-1297	13	41	,	,	PUNCT
cana-1297	13	42	primitive	primitive	ADJ
cana-1297	13	43	ideal	ideal	ADJ
cana-1297	13	44	-	-	PUNCT
cana-1297	13	45	pi	pi	NOUN
cana-1297	13	46	,	,	PUNCT
cana-1297	13	47	right	right	ADJ
cana-1297	13	48	operator	operator	NOUN
cana-1297	13	49	semiring	semiring	NOUN
cana-1297	13	50	-	-	PUNCT
cana-1297	13	51	ros	ros	PROPN
cana-1297	13	52	faithful	faithful	ADJ
cana-1297	13	53	irreducible	irreducible	ADJ
cana-1297	13	54	tгs	tгs	NOUN
cana-1297	13	55	-	-	PUNCT
cana-1297	13	56	semimoduleftгs	semimoduleftгs	NOUN
cana-1297	13	57	-	-	PUNCT
cana-1297	13	58	s	s	PROPN
cana-1297	13	59	,	,	PUNCT
cana-1297	13	60	faithful	faithful	ADJ
cana-1297	13	61	irreducible	irreducible	ADJ
cana-1297	13	62	r	r	NOUN
cana-1297	13	63	-	-	PUNCT
cana-1297	13	64	semimodule	semimodule	NOUN
cana-1297	13	65	-	-	PUNCT
cana-1297	13	66	fir	fir	NOUN
cana-1297	13	67	-	-	PUNCT
cana-1297	13	68	s	s	NOUN
cana-1297	13	69	,	,	PUNCT
cana-1297	13	70	irreducible	irreducible	ADJ
cana-1297	13	71	r	r	NOUN
cana-1297	13	72	-	-	PUNCT
cana-1297	13	73	semimodule	semimodule	NOUN
cana-1297	13	74	-	-	PUNCT
cana-1297	13	75	ir	ir	NOUN
cana-1297	13	76	-	-	PUNCT
cana-1297	13	77	s	s	ADJ
cana-1297	13	78	,	,	PUNCT
cana-1297	13	79	faithful	faithful	ADJ
cana-1297	13	80	irreducible	irreducible	ADJ
cana-1297	13	81	/	/	PUNCT
cana-1297	13	82	*	*	PUNCT
cana-1297	13	83	r	r	NOUN
cana-1297	13	84	p	p	X
cana-1297	13	85			ADJ
cana-1297	13	86	-semimodulefi	-semimodulefi	PROPN
cana-1297	13	87	(	(	PUNCT
cana-1297	13	88	/	/	SYM
cana-1297	13	89	*	*	PUNCT
cana-1297	13	90	)	)	PUNCT
cana-1297	13	91	r	r	NOUN
cana-1297	13	92	p	p	PROPN
cana-1297	14	1			ADJ
cana-1297	14	2	-s	-s	NOUN
cana-1297	14	3	,	,	PUNCT
cana-1297	14	4	additive	additive	ADJ
cana-1297	14	5	commutative	commutative	ADJ
cana-1297	14	6	monoid	monoid	NOUN
cana-1297	14	7	-	-	PUNCT
cana-1297	14	8	acm	acm	PROPN
cana-1297	14	9	,	,	PUNCT
cana-1297	14	10	tгs	tгs	NOUN
cana-1297	14	11	-	-	PUNCT
cana-1297	14	12	semiringtгss	semiringtгss	NOUN
cana-1297	14	13	”	"	PUNCT
cana-1297	14	14	preliminaries	preliminary	NOUN
cana-1297	14	15	definition	definition	NOUN
cana-1297	14	16	2.1	2.1	NUM
cana-1297	14	17	:	:	PUNCT
cana-1297	14	18	let	let	VERB
cana-1297	14	19	u	u	NOUN
cana-1297	14	20	,	,	PUNCT
cana-1297	14	21			VERB
cana-1297	14	22	be	be	AUX
cana-1297	14	23	two	two	NUM
cana-1297	14	24	additive	additive	ADJ
cana-1297	14	25	commutative	commutative	ADJ
cana-1297	14	26	semigroups	semigroup	NOUN
cana-1297	14	27	.	.	PUNCT
cana-1297	15	1	then	then	ADV
cana-1297	15	2	u	u	PRON
cana-1297	15	3	is	be	AUX
cana-1297	15	4	entitled	entitle	VERB
cana-1297	15	5	a	a	DET
cana-1297	15	6	ternary	ternary	ADJ
cana-1297	15	7	gamma	gamma	NOUN
cana-1297	15	8	semiring	semiring	NOUN
cana-1297	15	9	presented	present	VERB
cana-1297	15	10			NUM
cana-1297	15	11	a	a	DET
cana-1297	15	12	mapping	mapping	NOUN
cana-1297	15	13	u	u	NOUN
cana-1297	15	14	u	u	X
cana-1297	15	15	u	u	NOUN
cana-1297	15	16	u	u	VERB
cana-1297	15	17			PROPN
cana-1297	15	18	→	→	PUNCT
cana-1297	15	19	suiting	suit	VERB
cana-1297	15	20	the	the	DET
cana-1297	15	21	next	next	ADJ
cana-1297	15	22	conditions	condition	NOUN
cana-1297	15	23	:	:	PUNCT
cana-1297	16	1	(	(	PUNCT
cana-1297	16	2	1	1	X
cana-1297	16	3	)	)	PUNCT
cana-1297	16	4	(	(	PUNCT
cana-1297	16	5	)	)	PUNCT
cana-1297	16	6	(	(	PUNCT
cana-1297	16	7	)	)	PUNCT
cana-1297	16	8	(	(	PUNCT
cana-1297	16	9	)	)	PUNCT
cana-1297	16	10	x	x	SYM
cana-1297	16	11	y	y	PROPN
cana-1297	16	12	z	z	PROPN
cana-1297	16	13	p	p	NOUN
cana-1297	17	1	q	q	X
cana-1297	17	2	x	x	X
cana-1297	17	3	y	y	NOUN
cana-1297	17	4	z	z	PROPN
cana-1297	17	5	p	p	NOUN
cana-1297	18	1	q	q	X
cana-1297	18	2	x	x	X
cana-1297	18	3	y	y	NOUN
cana-1297	18	4	z	z	PROPN
cana-1297	18	5	p	p	NOUN
cana-1297	18	6	q	q	X
cana-1297	19	1			PROPN
cana-1297	19	2			ADJ
cana-1297	19	3			NOUN
cana-1297	19	4			NUM
cana-1297	19	5			PROPN
cana-1297	19	6			ADJ
cana-1297	19	7			NOUN
cana-1297	19	8			NUM
cana-1297	19	9			PROPN
cana-1297	19	10			ADJ
cana-1297	19	11	=	=	PROPN
cana-1297	19	12	=	=	SYM
cana-1297	19	13	(	(	PUNCT
cana-1297	19	14	2	2	NUM
cana-1297	19	15	)	)	PUNCT
cana-1297	19	16	[	[	X
cana-1297	19	17	(	(	PUNCT
cana-1297	19	18	)	)	PUNCT
cana-1297	19	19	]	]	PUNCT
cana-1297	20	1	[	[	X
cana-1297	20	2	(	(	PUNCT
cana-1297	20	3	]	]	PUNCT
cana-1297	20	4	[	[	PUNCT
cana-1297	20	5	]	]	X
cana-1297	20	6	p	p	X
cana-1297	20	7	q	q	X
cana-1297	20	8	r	r	NOUN
cana-1297	20	9	s	s	X
cana-1297	20	10	p	p	NOUN
cana-1297	20	11	r	r	NOUN
cana-1297	20	12	s	s	PART
cana-1297	20	13	q	q	NOUN
cana-1297	20	14	r	r	NOUN
cana-1297	20	15	s	s	NOUN
cana-1297	20	16			PROPN
cana-1297	20	17			NUM
cana-1297	20	18			PROPN
cana-1297	20	19			NUM
cana-1297	20	20	+	+	NOUN
cana-1297	20	21	=	=	PUNCT
cana-1297	20	22	+	+	NUM
cana-1297	20	23	communications	communication	NOUN
cana-1297	20	24	on	on	ADP
cana-1297	20	25	applied	apply	VERB
cana-1297	20	26	nonlinear	nonlinear	ADJ
cana-1297	20	27	analysis	analysis	NOUN
cana-1297	20	28	issn	issn	NOUN
cana-1297	20	29	:	:	PUNCT
cana-1297	20	30	1074	1074	NUM
cana-1297	20	31	-	-	PUNCT
cana-1297	20	32	133x	133x	NUM
cana-1297	20	33	vol	vol	NOUN
cana-1297	20	34	31	31	NUM
cana-1297	20	35	no	no	NOUN
cana-1297	20	36	.	.	PUNCT
cana-1297	21	1	7s	7	NOUN
cana-1297	21	2	(	(	PUNCT
cana-1297	21	3	2024	2024	NUM
cana-1297	21	4	)	)	PUNCT
cana-1297	21	5	223	223	NUM
cana-1297	21	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1297	21	7	(	(	PUNCT
cana-1297	21	8	3	3	NUM
cana-1297	21	9	)	)	PUNCT
cana-1297	21	10	[	[	PUNCT
cana-1297	21	11	(	(	PUNCT
cana-1297	21	12	)	)	PUNCT
cana-1297	21	13	]	]	PUNCT
cana-1297	22	1	[	[	X
cana-1297	22	2	(	(	PUNCT
cana-1297	22	3	]	]	PUNCT
cana-1297	22	4	[	[	PUNCT
cana-1297	22	5	]	]	X
cana-1297	22	6	p	p	X
cana-1297	22	7	q	q	X
cana-1297	22	8	r	r	NOUN
cana-1297	22	9	s	s	X
cana-1297	22	10	p	p	NOUN
cana-1297	22	11	q	q	X
cana-1297	22	12	s	s	X
cana-1297	22	13	p	p	NOUN
cana-1297	22	14	r	r	NOUN
cana-1297	22	15	s	s	NOUN
cana-1297	22	16			PROPN
cana-1297	22	17			NUM
cana-1297	22	18			PROPN
cana-1297	22	19			NUM
cana-1297	22	20	+	+	NOUN
cana-1297	22	21	=	=	PUNCT
cana-1297	23	1	+	+	CCONJ
cana-1297	23	2	(	(	PUNCT
cana-1297	23	3	4	4	NUM
cana-1297	23	4	)	)	PUNCT
cana-1297	23	5	[	[	PUNCT
cana-1297	23	6	(	(	PUNCT
cana-1297	23	7	)	)	PUNCT
cana-1297	23	8	]	]	PUNCT
cana-1297	24	1	[	[	X
cana-1297	24	2	(	(	PUNCT
cana-1297	24	3	]	]	PUNCT
cana-1297	24	4	[	[	PUNCT
cana-1297	24	5	]	]	X
cana-1297	24	6	,	,	PUNCT
cana-1297	24	7	,	,	PUNCT
cana-1297	24	8	,	,	PUNCT
cana-1297	24	9	&	&	CCONJ
cana-1297	24	10	,	,	PUNCT
cana-1297	24	11	,	,	PUNCT
cana-1297	24	12	,	,	PUNCT
cana-1297	24	13	.p	.p	PROPN
cana-1297	24	14	q	q	X
cana-1297	24	15	r	r	NOUN
cana-1297	24	16	s	s	X
cana-1297	24	17	p	p	NOUN
cana-1297	24	18	q	q	NOUN
cana-1297	24	19	r	r	NOUN
cana-1297	24	20	p	p	NOUN
cana-1297	24	21	q	q	NOUN
cana-1297	24	22	s	s	X
cana-1297	24	23	p	p	X
cana-1297	24	24	q	q	NOUN
cana-1297	24	25	r	r	NOUN
cana-1297	24	26	s	s	PART
cana-1297	24	27	u	u	ADJ
cana-1297	24	28			PROPN
cana-1297	24	29			NUM
cana-1297	24	30			PROPN
cana-1297	24	31			NUM
cana-1297	24	32			PROPN
cana-1297	24	33			NUM
cana-1297	24	34			PROPN
cana-1297	24	35			NUM
cana-1297	24	36	+	+	PROPN
cana-1297	24	37	=	=	SYM
cana-1297	24	38	+	+	CCONJ
cana-1297	24	39			ADJ
cana-1297	24	40			NOUN
cana-1297	24	41			VERB
cana-1297	24	42	an	an	DET
cana-1297	24	43	ideal	ideal	ADJ
cana-1297	24	44	j	j	PROPN
cana-1297	24	45	in	in	ADP
cana-1297	24	46	a	a	DET
cana-1297	24	47	tг	tг	ADV
cana-1297	24	48	-	-	PUNCT
cana-1297	24	49	semiring	semire	VERB
cana-1297	24	50	s	s	X
cana-1297	24	51	is	be	AUX
cana-1297	24	52	called	call	VERB
cana-1297	24	53	a	a	DET
cana-1297	24	54	k	k	NOUN
cana-1297	24	55	-	-	NOUN
cana-1297	24	56	ideal	ideal	ADJ
cana-1297	24	57	if	if	SCONJ
cana-1297	24	58	1	1	NUM
cana-1297	24	59	1	1	NUM
cana-1297	24	60	1	1	NUM
cana-1297	24	61	1	1	NUM
cana-1297	24	62	1	1	NUM
cana-1297	24	63	,	,	PUNCT
cana-1297	24	64	,	,	PUNCT
cana-1297	24	65	.x	.x	PROPN
cana-1297	25	1	y	y	PROPN
cana-1297	25	2	j	j	PROPN
cana-1297	25	3	x	x	SYM
cana-1297	25	4	s	s	VERB
cana-1297	25	5	y	y	PROPN
cana-1297	25	6	j	j	PROPN
cana-1297	25	7	x	x	PROPN
cana-1297	25	8	j+	j+	NUM
cana-1297	25	9			PROPN
cana-1297	25	10			PROPN
cana-1297	25	11			PROPN
cana-1297	25	12			PROPN
cana-1297	25	13			NOUN
cana-1297	25	14	in	in	ADP
cana-1297	25	15	a	a	DET
cana-1297	25	16	tг	tг	PROPN
cana-1297	25	17	-	-	PUNCT
cana-1297	25	18	s	s	NOUN
cana-1297	25	19	semiring	semiring	NOUN
cana-1297	25	20	s	s	VERB
cana-1297	25	21	an	an	DET
cana-1297	25	22	ideal	ideal	NOUN
cana-1297	25	23	i	i	PRON
cana-1297	25	24	is	be	AUX
cana-1297	25	25	entitled	entitle	VERB
cana-1297	25	26	an	an	DET
cana-1297	25	27	‘	'	PUNCT
cana-1297	25	28	h	h	NOUN
cana-1297	25	29	-	-	PUNCT
cana-1297	25	30	ideal	ideal	NOUN
cana-1297	25	31	’	'	PUNCT
cana-1297	25	32	if	if	SCONJ
cana-1297	25	33	1	1	NUM
cana-1297	25	34	1	1	NUM
cana-1297	25	35	1	1	NUM
cana-1297	25	36	2	2	NUM
cana-1297	25	37	1	1	NUM
cana-1297	25	38	1	1	NUM
cana-1297	25	39	1	1	NUM
cana-1297	25	40	1	1	NUM
cana-1297	25	41	2	2	NUM
cana-1297	25	42	1	1	NUM
cana-1297	25	43	,	,	PUNCT
cana-1297	25	44	,	,	PUNCT
cana-1297	25	45	&	&	CCONJ
cana-1297	25	46	,	,	PUNCT
cana-1297	25	47	.x	.x	PROPN
cana-1297	26	1	y	y	PROPN
cana-1297	26	2	z	z	PROPN
cana-1297	26	3	y	y	PROPN
cana-1297	26	4	z	z	NOUN
cana-1297	26	5	x	x	PUNCT
cana-1297	27	1	z	z	NOUN
cana-1297	27	2	s	s	X
cana-1297	27	3	y	y	NOUN
cana-1297	27	4	y	y	NOUN
cana-1297	27	5	i	i	NOUN
cana-1297	27	6	x	x	VERB
cana-1297	27	7	i+	i+	VERB
cana-1297	27	8	+	+	X
cana-1297	27	9	=	=	SYM
cana-1297	28	1	+	+	NUM
cana-1297	28	2			NOUN
cana-1297	28	3			PROPN
cana-1297	28	4			NOUN
cana-1297	28	5			PROPN
cana-1297	28	6	permit	permit	VERB
cana-1297	28	7	s	s	PRON
cana-1297	28	8	be	be	AUX
cana-1297	28	9	a	a	DET
cana-1297	28	10	tг	tг	PROPN
cana-1297	28	11	-	-	PUNCT
cana-1297	28	12	s	s	X
cana-1297	28	13	&	&	CCONJ
cana-1297	28	14	free	free	ADJ
cana-1297	28	15	additive	additive	PROPN
cana-1297	28	16	commutative	commutative	ADJ
cana-1297	28	17	semigroup	semigroup	NOUN
cana-1297	28	18	g	g	PROPN
cana-1297	28	19	generate	generate	NOUN
cana-1297	28	20	by	by	ADP
cana-1297	28	21	.s	.s	NOUN
cana-1297	28	22	s	s	NOUN
cana-1297	28	23			PROPN
cana-1297	28	24	subsequently	subsequently	ADV
cana-1297	28	25	relation	relation	VERB
cana-1297	28	26			NOUN
cana-1297	28	27	on	on	ADP
cana-1297	28	28	g	g	NOUN
cana-1297	28	29	,	,	PUNCT
cana-1297	28	30	defined	define	VERB
cana-1297	28	31	by	by	ADP
cana-1297	28	32	if	if	SCONJ
cana-1297	28	33	[	[	X
cana-1297	28	34	,	,	PUNCT
cana-1297	28	35	]	]	X
cana-1297	28	36	[	[	PUNCT
cana-1297	28	37	,	,	PUNCT
cana-1297	28	38	]	]	X
cana-1297	28	39	i	i	PRON
cana-1297	29	1	i	i	INTJ
cana-1297	29	2	j	j	PROPN
cana-1297	30	1	j	j	NOUN
cana-1297	31	1	i	i	PRON
cana-1297	31	2	j	j	PROPN
cana-1297	32	1	k	k	PROPN
cana-1297	32	2	l	l	PROPN
cana-1297	32	3	=	=	PRON
cana-1297	32	4			X
cana-1297	32	5	in	in	ADP
cana-1297	32	6	r	r	NOUN
cana-1297	32	7	then	then	ADV
cana-1297	32	8	,	,	PUNCT
cana-1297	32	9	.i	.i	PROPN
cana-1297	33	1	i	i	PRON
cana-1297	33	2	i	i	PRON
cana-1297	34	1	j	j	PROPN
cana-1297	35	1	j	j	PROPN
cana-1297	35	2	j	j	PROPN
cana-1297	36	1	i	i	PRON
cana-1297	36	2	j	j	PROPN
cana-1297	36	3	s	s	PROPN
cana-1297	37	1	t	t	PROPN
cana-1297	38	1	k	k	PROPN
cana-1297	38	2	s	s	PROPN
cana-1297	38	3	t	t	PROPN
cana-1297	38	4	k	k	PROPN
cana-1297	38	5	s	s	PROPN
cana-1297	38	6	t	t	PROPN
cana-1297	38	7	s	s	PROPN
cana-1297	38	8			ADJ
cana-1297	38	9			PROPN
cana-1297	38	10	=	=	NOUN
cana-1297	38	11			NOUN
cana-1297	38	12			NOUN
cana-1297	38	13			X
cana-1297	38	14	semi	semi	ADJ
cana-1297	38	15	-	-	ADJ
cana-1297	38	16	irreducible	irreducible	ADJ
cana-1297	38	17	,	,	PUNCT
cana-1297	38	18	irreducible	irreducible	ADJ
cana-1297	38	19	,	,	PUNCT
cana-1297	38	20	faithful	faithful	ADJ
cana-1297	38	21	tг	tг	NOUN
cana-1297	38	22	-	-	PUNCT
cana-1297	38	23	semimodules	semimodule	NOUN
cana-1297	38	24	:	:	PUNCT
cana-1297	38	25	definition	definition	NOUN
cana-1297	38	26	3.1	3.1	NUM
cana-1297	38	27	:	:	PUNCT
cana-1297	38	28	permit	permit	NOUN
cana-1297	38	29	s	s	NOUN
cana-1297	38	30	is	be	AUX
cana-1297	38	31	a	a	DET
cana-1297	38	32	tг	tг	PROPN
cana-1297	38	33	-	-	PUNCT
cana-1297	38	34	s.	s.	PROPN
cana-1297	38	35	an	an	DET
cana-1297	38	36	acm	acm	PROPN
cana-1297	38	37	‘	'	PUNCT
cana-1297	38	38	m	m	NOUN
cana-1297	38	39	’	'	PUNCT
cana-1297	38	40	is	be	AUX
cana-1297	38	41	known	know	VERB
cana-1297	38	42	as	as	ADP
cana-1297	38	43	merely	merely	ADV
cana-1297	38	44	tгs	tгs	NOUN
cana-1297	38	45	-	-	PUNCT
cana-1297	38	46	s	s	PROPN
cana-1297	38	47	,	,	PUNCT
cana-1297	38	48	if	if	SCONJ
cana-1297	38	49	n	n	PRON
cana-1297	39	1	s	s	NOUN
cana-1297	39	2	s	s	VERB
cana-1297	39	3	n	n	ADV
cana-1297	39	4			PRON
cana-1297	39	5			VERB
cana-1297	39	6	→	→	PUNCT
cana-1297	39	7	(	(	PUNCT
cana-1297	39	8	images	image	NOUN
cana-1297	39	9	to	to	PART
cana-1297	39	10	be	be	AUX
cana-1297	39	11	denoted	denote	VERB
cana-1297	39	12	by	by	ADP
cana-1297	39	13	:	:	PUNCT
cana-1297	39	14	,	,	PUNCT
cana-1297	39	15	,	,	PUNCT
cana-1297	39	16	k	k	PROPN
cana-1297	39	17	s	s	PROPN
cana-1297	39	18	t	t	PROPN
cana-1297	39	19	k	k	PROPN
cana-1297	39	20	n	n	PROPN
cana-1297	39	21			NUM
cana-1297	39	22			ADV
cana-1297	39	23			ADJ
cana-1297	39	24			NOUN
cana-1297	39	25	)	)	PUNCT
cana-1297	39	26	satisfying	satisfy	VERB
cana-1297	39	27	the	the	DET
cana-1297	39	28	following	follow	VERB
cana-1297	39	29	conditions	condition	NOUN
cana-1297	39	30	:	:	PUNCT
cana-1297	39	31	(	(	PUNCT
cana-1297	39	32	i	i	NOUN
cana-1297	39	33	)	)	PUNCT
cana-1297	39	34	(	(	PUNCT
cana-1297	39	35	)	)	PUNCT
cana-1297	39	36	k	k	X
cana-1297	39	37	l	l	NOUN
cana-1297	39	38	s	s	PART
cana-1297	39	39	t	t	X
cana-1297	39	40	k	k	PROPN
cana-1297	39	41	s	s	PROPN
cana-1297	39	42	t	t	PROPN
cana-1297	39	43	l	l	NOUN
cana-1297	39	44	s	s	PART
cana-1297	39	45	t	t	PROPN
cana-1297	39	46			NUM
cana-1297	39	47			ADJ
cana-1297	39	48			NUM
cana-1297	39	49			ADJ
cana-1297	39	50	+	+	ADJ
cana-1297	39	51	=	=	SYM
cana-1297	39	52	+	+	CCONJ
cana-1297	39	53	(	(	PUNCT
cana-1297	39	54	ii	ii	NOUN
cana-1297	39	55	)	)	PUNCT
cana-1297	39	56	(	(	PUNCT
cana-1297	39	57	)	)	PUNCT
cana-1297	40	1	k	k	PROPN
cana-1297	40	2	s	s	PROPN
cana-1297	40	3	t	t	X
cana-1297	40	4	u	u	X
cana-1297	40	5	k	k	PROPN
cana-1297	40	6	s	s	PROPN
cana-1297	40	7	t	t	PROPN
cana-1297	41	1	k	k	PROPN
cana-1297	41	2	s	s	PROPN
cana-1297	41	3	u	u	PROPN
cana-1297	41	4			NUM
cana-1297	41	5			ADJ
cana-1297	41	6			NUM
cana-1297	41	7			ADJ
cana-1297	41	8	+	+	ADJ
cana-1297	41	9	=	=	SYM
cana-1297	41	10	+	+	CCONJ
cana-1297	41	11	(	(	PUNCT
cana-1297	41	12	iii	iii	NOUN
cana-1297	41	13	)	)	PUNCT
cana-1297	41	14	(	(	PUNCT
cana-1297	41	15	)	)	PUNCT
cana-1297	42	1	k	k	PROPN
cana-1297	42	2	s	s	PROPN
cana-1297	42	3	t	t	X
cana-1297	42	4	u	u	X
cana-1297	42	5	k	k	PROPN
cana-1297	42	6	s	s	PROPN
cana-1297	42	7	u	u	X
cana-1297	42	8	k	k	PROPN
cana-1297	42	9	t	t	PROPN
cana-1297	42	10	u	u	PROPN
cana-1297	42	11			NUM
cana-1297	42	12			ADJ
cana-1297	42	13			NUM
cana-1297	42	14			ADJ
cana-1297	42	15	+	+	ADJ
cana-1297	42	16	=	=	SYM
cana-1297	42	17	+	+	CCONJ
cana-1297	42	18	(	(	PUNCT
cana-1297	42	19	iv	iv	X
cana-1297	42	20	)	)	PUNCT
cana-1297	42	21	(	(	PUNCT
cana-1297	42	22	)	)	PUNCT
cana-1297	42	23	(	(	PUNCT
cana-1297	42	24	)	)	PUNCT
cana-1297	42	25	(	(	PUNCT
cana-1297	42	26	)	)	PUNCT
cana-1297	43	1	k	k	PROPN
cana-1297	43	2	s	s	PROPN
cana-1297	43	3	t	t	PROPN
cana-1297	43	4	u	u	X
cana-1297	43	5	v	v	ADP
cana-1297	43	6	k	k	PROPN
cana-1297	43	7	s	s	PROPN
cana-1297	43	8	t	t	PROPN
cana-1297	43	9	u	u	X
cana-1297	43	10	v	v	ADP
cana-1297	43	11	k	k	PROPN
cana-1297	43	12	s	s	PROPN
cana-1297	43	13	t	t	PROPN
cana-1297	43	14	u	u	NOUN
cana-1297	43	15	v	v	PROPN
cana-1297	43	16			NUM
cana-1297	43	17			PROPN
cana-1297	43	18			PROPN
cana-1297	43	19			NOUN
cana-1297	43	20			NUM
cana-1297	43	21			PROPN
cana-1297	43	22			PROPN
cana-1297	43	23			NOUN
cana-1297	43	24			NUM
cana-1297	43	25			PROPN
cana-1297	43	26	=	=	X
cana-1297	43	27	+	+	CCONJ
cana-1297	43	28	(	(	PUNCT
cana-1297	43	29	v	v	NOUN
cana-1297	43	30	)	)	PUNCT
cana-1297	43	31	0	0	NUM
cana-1297	43	32	0	0	NUM
cana-1297	43	33	0	0	NUM
cana-1297	43	34	0	0	NUM
cana-1297	43	35	,	,	PUNCT
cana-1297	43	36	,	,	PUNCT
cana-1297	43	37	,	,	PUNCT
cana-1297	43	38	,	,	PUNCT
cana-1297	43	39	,	,	PUNCT
cana-1297	43	40	.n	.n	PROPN
cana-1297	43	41	n	n	PROPN
cana-1297	43	42	s	s	PROPN
cana-1297	43	43	st	st	PROPN
cana-1297	43	44	u	u	PROPN
cana-1297	43	45	k	k	PROPN
cana-1297	43	46	s	s	PROPN
cana-1297	43	47	k	k	PROPN
cana-1297	43	48	s	s	X
cana-1297	43	49	k	k	PROPN
cana-1297	43	50	l	l	PROPN
cana-1297	43	51	n	n	PROPN
cana-1297	43	52	s	s	PROPN
cana-1297	43	53	t	t	NOUN
cana-1297	43	54	u	u	NOUN
cana-1297	43	55	v	v	ADP
cana-1297	43	56	s	s	NOUN
cana-1297	43	57			PROPN
cana-1297	43	58			PROPN
cana-1297	43	59			PROPN
cana-1297	43	60			NOUN
cana-1297	43	61	=	=	NOUN
cana-1297	43	62	=	=	PUNCT
cana-1297	43	63	=	=	PUNCT
cana-1297	43	64			VERB
cana-1297	43	65			PROPN
cana-1297	43	66			NOUN
cana-1297	43	67	in	in	ADP
cana-1297	43	68	addition	addition	NOUN
cana-1297	43	69	to	to	ADP
cana-1297	43	70	the	the	DET
cana-1297	43	71	above	above	ADJ
cana-1297	43	72	conditions	condition	NOUN
cana-1297	43	73	if	if	SCONJ
cana-1297	43	74	,	,	PUNCT
cana-1297	43	75	k	k	PROPN
cana-1297	43	76	e	e	PROPN
cana-1297	43	77	f	f	PROPN
cana-1297	43	78	k	k	PROPN
cana-1297	43	79	k	k	PROPN
cana-1297	43	80	n	n	PROPN
cana-1297	43	81			NOUN
cana-1297	43	82	=	=	PUNCT
cana-1297	43	83			NOUN
cana-1297	43	84			NOUN
cana-1297	43	85	where	where	SCONJ
cana-1297	43	86	{	{	PUNCT
cana-1297	43	87	e	e	NOUN
cana-1297	43	88	,	,	PUNCT
cana-1297	43	89	f}is	f}i	VERB
cana-1297	43	90	an	an	DET
cana-1297	43	91	identity	identity	NOUN
cana-1297	43	92	element	element	NOUN
cana-1297	43	93	of	of	ADP
cana-1297	43	94	s	s	PROPN
cana-1297	43	95	,	,	PUNCT
cana-1297	43	96	then	then	ADV
cana-1297	43	97	n	n	ADV
cana-1297	43	98	is	be	AUX
cana-1297	43	99	believed	believe	VERB
cana-1297	43	100	to	to	PART
cana-1297	43	101	be	be	AUX
cana-1297	43	102	a	a	DET
cana-1297	43	103	unitary	unitary	ADJ
cana-1297	43	104	right	right	ADJ
cana-1297	43	105	ternary	ternary	ADJ
cana-1297	43	106	гs	гs	NOUN
cana-1297	43	107	-	-	PUNCT
cana-1297	43	108	semimodule	semimodule	NOUN
cana-1297	43	109	.	.	PUNCT
cana-1297	44	1	a	a	DET
cana-1297	44	2	left	left	ADJ
cana-1297	44	3	tгs	tгs	NOUN
cana-1297	44	4	-	-	PUNCT
cana-1297	44	5	semimodule	semimodule	NOUN
cana-1297	44	6	can	can	AUX
cana-1297	44	7	be	be	AUX
cana-1297	44	8	defined	define	VERB
cana-1297	44	9	likewisely	likewisely	ADV
cana-1297	44	10	.	.	PUNCT
cana-1297	45	1	example	example	NOUN
cana-1297	45	2	:	:	PUNCT
cana-1297	45	3	3.2	3.2	NUM
cana-1297	45	4	:	:	PUNCT
cana-1297	45	5	a	a	DET
cana-1297	45	6	tгss	tгss	NOUN
cana-1297	45	7	‘s	‘	NOUN
cana-1297	45	8	’	'	PUNCT
cana-1297	45	9	,	,	PUNCT
cana-1297	45	10	wherever	wherever	SCONJ
cana-1297	45	11	the	the	DET
cana-1297	45	12	‘	'	PUNCT
cana-1297	45	13	additive	additive	ADJ
cana-1297	45	14	commutative	commutative	ADJ
cana-1297	45	15	semigroup	semigroup	NOUN
cana-1297	45	16	’	'	PUNCT
cana-1297	45	17	s	s	NOUN
cana-1297	45	18	of	of	ADP
cana-1297	45	19	all	all	DET
cana-1297	45	20	2	2	NUM
cana-1297	45	21	3	3	NUM
cana-1297	45	22	matrices	matrix	NOUN
cana-1297	45	23	above	above	ADP
cana-1297	45	24	0	0	NUM
cana-1297	45	25	&	&	CCONJ
cana-1297	45	26	q	q	PROPN
cana-1297	46	1	+	+	CCONJ
cana-1297	46	2			VERB
cana-1297	46	3	is	be	AUX
cana-1297	46	4	also	also	ADV
cana-1297	46	5	‘	'	PUNCT
cana-1297	46	6	additive	additive	ADJ
cana-1297	46	7	commutative	commutative	ADJ
cana-1297	46	8	semigroup	semigroup	NOUN
cana-1297	46	9	’	'	PUNCT
cana-1297	46	10	of	of	ADP
cana-1297	46	11	all	all	DET
cana-1297	46	12	3	3	NUM
cana-1297	46	13	2	2	NUM
cana-1297	46	14	matrices	matrix	NOUN
cana-1297	46	15	over	over	ADP
cana-1297	46	16	the	the	DET
cana-1297	46	17	identical	identical	ADJ
cana-1297	46	18	set	set	NOUN
cana-1297	46	19	&	&	CCONJ
cana-1297	46	20	n	n	PROPN
cana-1297	46	21	k	k	PROPN
cana-1297	46	22	l	l	PROPN
cana-1297	46	23			NUM
cana-1297	46	24	denote	denote	NOUN
cana-1297	46	25	product	product	NOUN
cana-1297	46	26	of	of	ADP
cana-1297	46	27	matrices	matrix	NOUN
cana-1297	46	28	of	of	ADP
cana-1297	46	29	,	,	PUNCT
cana-1297	46	30	,	,	PUNCT
cana-1297	46	31	,	,	PUNCT
cana-1297	46	32	,	,	PUNCT
cana-1297	46	33	;	;	PUNCT
cana-1297	46	34	,	,	PUNCT
cana-1297	46	35	,	,	PUNCT
cana-1297	46	36	&	&	CCONJ
cana-1297	46	37	,	,	PUNCT
cana-1297	46	38	n	n	PROPN
cana-1297	46	39	k	k	PROPN
cana-1297	46	40	l	l	PROPN
cana-1297	46	41	n	n	CCONJ
cana-1297	46	42	n	n	CCONJ
cana-1297	46	43	k	k	X
cana-1297	46	44	l	l	NOUN
cana-1297	46	45	s	s	ADJ
cana-1297	46	46			NUM
cana-1297	46	47			PROPN
cana-1297	46	48			VERB
cana-1297	46	49			NOUN
cana-1297	46	50			VERB
cana-1297	46	51	now	now	ADV
cana-1297	46	52	the	the	DET
cana-1297	46	53	right	right	ADJ
cana-1297	46	54	unity	unity	NOUN
cana-1297	46	55	of	of	ADP
cana-1297	46	56	s	s	NOUN
cana-1297	46	57	is	be	AUX
cana-1297	46	58	3	3	NUM
cana-1297	46	59	1	1	NUM
cana-1297	46	60	[	[	PUNCT
cana-1297	46	61	,	,	PUNCT
cana-1297	46	62	,	,	PUNCT
cana-1297	46	63	,	,	PUNCT
cana-1297	46	64	]	]	PUNCT
cana-1297	46	65	i	i	PRON
cana-1297	47	1	i	i	PRON
cana-1297	47	2	i	i	PRON
cana-1297	48	1	i	i	PRON
cana-1297	49	1	i	i	PRON
cana-1297	49	2	e	e	VERB
cana-1297	49	3	f	f	PROPN
cana-1297	49	4			PROPN
cana-1297	49	5	=	=	PUNCT
cana-1297	49	6			X
cana-1297	50	1	where	where	SCONJ
cana-1297	50	2	1	1	NUM
cana-1297	50	3	1	1	NUM
cana-1297	50	4	2	2	NUM
cana-1297	50	5	2	2	NUM
cana-1297	50	6	3	3	NUM
cana-1297	50	7	3	3	NUM
cana-1297	50	8	1	1	NUM
cana-1297	50	9	1	1	NUM
cana-1297	50	10	2	2	NUM
cana-1297	50	11	2	2	NUM
cana-1297	50	12	3	3	NUM
cana-1297	50	13	3	3	NUM
cana-1297	50	14	1	1	NUM
cana-1297	50	15	0	0	NUM
cana-1297	50	16	0	0	NUM
cana-1297	50	17	0	0	NUM
cana-1297	50	18	0	0	NUM
cana-1297	50	19	0	0	NUM
cana-1297	50	20	0	0	NUM
cana-1297	50	21	1	1	NUM
cana-1297	50	22	,	,	PUNCT
cana-1297	50	23	0	0	NUM
cana-1297	50	24	1	1	NUM
cana-1297	50	25	,	,	PUNCT
cana-1297	50	26	1	1	NUM
cana-1297	50	27	0	0	NUM
cana-1297	50	28	,	,	PUNCT
cana-1297	50	29	0	0	NUM
cana-1297	50	30	0	0	NUM
cana-1297	50	31	0	0	NUM
cana-1297	50	32	0	0	NUM
cana-1297	50	33	0	0	NUM
cana-1297	50	34	0	0	NUM
cana-1297	50	35	1	1	NUM
cana-1297	50	36	0	0	NUM
cana-1297	50	37	0	0	NUM
cana-1297	50	38	0	0	NUM
cana-1297	50	39	0	0	NUM
cana-1297	50	40	1	1	NUM
cana-1297	50	41	1	1	NUM
cana-1297	50	42	0	0	NUM
cana-1297	50	43	0	0	NUM
cana-1297	50	44	,	,	PUNCT
cana-1297	50	45	,	,	PUNCT
cana-1297	50	46	.31	.31	NUM
cana-1297	50	47	1	1	NUM
cana-1297	50	48	0	0	NUM
cana-1297	50	49	0	0	NUM
cana-1297	50	50	0	0	NUM
cana-1297	50	51	0	0	NUM
cana-1297	50	52	0	0	NUM
cana-1297	50	53	0	0	NUM
cana-1297	50	54	13	13	NUM
cana-1297	50	55	3	3	NUM
cana-1297	50	56	f	f	NOUN
cana-1297	50	57	e	e	X
cana-1297	50	58	f	f	PROPN
cana-1297	50	59	e	e	PROPN
cana-1297	50	60	f	f	PROPN
cana-1297	50	61	e	e	PROPN
cana-1297	50	62			NUM
cana-1297	50	63			PROPN
cana-1297	50	64			NUM
cana-1297	50	65			PROPN
cana-1297	50	66			NUM
cana-1297	50	67			PROPN
cana-1297	50	68			NOUN
cana-1297	50	69			PROPN
cana-1297	50	70			NOUN
cana-1297	50	71			PROPN
cana-1297	50	72			NOUN
cana-1297	50	73			PROPN
cana-1297	50	74			PROPN
cana-1297	50	75			PROPN
cana-1297	50	76			PROPN
cana-1297	50	77			INTJ
cana-1297	51	1			PROPN
cana-1297	51	2			PUNCT
cana-1297	52	1	=	=	PUNCT
cana-1297	53	1	=	=	PUNCT
cana-1297	53	2	=	=	PUNCT
cana-1297	53	3	=	=	PUNCT
cana-1297	53	4	=	=	PUNCT
cana-1297	54	1	=	=	X
cana-1297	54	2			PROPN
cana-1297	55	1			PROPN
cana-1297	55	2			PROPN
cana-1297	56	1			INTJ
cana-1297	57	1			PROPN
cana-1297	58	1			INTJ
cana-1297	59	1			PROPN
cana-1297	60	1			INTJ
cana-1297	61	1			PROPN
cana-1297	62	1			INTJ
cana-1297	63	1			PROPN
cana-1297	63	2			PROPN
cana-1297	64	1			ADJ
cana-1297	64	2			PROPN
cana-1297	64	3			PROPN
cana-1297	64	4			NOUN
cana-1297	64	5			PROPN
cana-1297	64	6			NOUN
cana-1297	65	1			NOUN
cana-1297	65	2			ADJ
cana-1297	65	3			NOUN
cana-1297	65	4			PROPN
cana-1297	65	5			NOUN
cana-1297	65	6			PROPN
cana-1297	65	7			PROPN
cana-1297	66	1			PROPN
cana-1297	67	1			PROPN
cana-1297	67	2			PROPN
cana-1297	68	1			PROPN
cana-1297	68	2	=	=	PROPN
cana-1297	68	3	=	=	PUNCT
cana-1297	69	1	=	=	PUNCT
cana-1297	69	2	=	=	PUNCT
cana-1297	69	3	=	=	PUNCT
cana-1297	69	4	=	=	SYM
cana-1297	69	5			PROPN
cana-1297	70	1			INTJ
cana-1297	71	1			PROPN
cana-1297	72	1			INTJ
cana-1297	73	1			PROPN
cana-1297	73	2			NOUN
cana-1297	74	1			PROPN
cana-1297	75	1			PROPN
cana-1297	76	1			INTJ
cana-1297	77	1			PROPN
cana-1297	77	2			PROPN
cana-1297	78	1			ADJ
cana-1297	78	2			PROPN
cana-1297	78	3			PROPN
cana-1297	78	4			NOUN
cana-1297	78	5			PROPN
cana-1297	78	6			NOUN
cana-1297	78	7	a	a	DET
cana-1297	78	8	subset	subset	NOUN
cana-1297	78	9	(	(	PUNCT
cana-1297	78	10	)	)	PUNCT
cana-1297	78	11	n	n	X
cana-1297	78	12			PROPN
cana-1297	78	13	of	of	ADP
cana-1297	78	14	a	a	DET
cana-1297	78	15	tгs	tгs	NOUN
cana-1297	78	16	-	-	PUNCT
cana-1297	78	17	s	s	NOUN
cana-1297	78	18	n	n	NOUN
cana-1297	78	19	is	be	AUX
cana-1297	78	20	known	know	VERB
cana-1297	78	21	as	as	ADP
cana-1297	78	22	a	a	DET
cana-1297	78	23	tгs	tгs	NOUN
cana-1297	78	24	-	-	PUNCT
cana-1297	78	25	s	s	PROPN
cana-1297	78	26	of	of	ADP
cana-1297	78	27	n	n	NOUN
cana-1297	78	28	if	if	SCONJ
cana-1297	78	29	(	(	PUNCT
cana-1297	78	30	i	i	NOUN
cana-1297	78	31	)	)	PUNCT
cana-1297	78	32	k	k	PROPN
cana-1297	78	33	l	l	PROPN
cana-1297	78	34	n+	n+	NUM
cana-1297	78	35			NOUN
cana-1297	78	36	,	,	PUNCT
cana-1297	78	37	(	(	PUNCT
cana-1297	78	38	ii	ii	NOUN
cana-1297	78	39	)	)	PUNCT
cana-1297	78	40	,	,	PUNCT
cana-1297	78	41	,	,	PUNCT
cana-1297	78	42	,	,	PUNCT
cana-1297	78	43	,	,	PUNCT
cana-1297	78	44	,	,	PUNCT
cana-1297	78	45	k	k	PROPN
cana-1297	78	46	s	s	PROPN
cana-1297	78	47	t	t	PROPN
cana-1297	78	48	n	n	PROPN
cana-1297	78	49	s	s	PROPN
cana-1297	78	50	t	t	NOUN
cana-1297	78	51	s	s	X
cana-1297	78	52	k	k	X
cana-1297	78	53	l	l	X
cana-1297	78	54	n	n	PROPN
cana-1297	78	55			NUM
cana-1297	78	56			PROPN
cana-1297	78	57			VERB
cana-1297	78	58			VERB
cana-1297	78	59			PROPN
cana-1297	78	60			NOUN
cana-1297	78	61			NOUN
cana-1297	78	62	holds	hold	VERB
cana-1297	78	63	the	the	DET
cana-1297	78	64	zero	zero	NUM
cana-1297	78	65	of	of	ADP
cana-1297	78	66	n.	n.	PROPN
cana-1297	78	67	a	a	DET
cana-1297	78	68	tгs	tгs	NOUN
cana-1297	78	69	-	-	PUNCT
cana-1297	78	70	ss	ss	NOUN
cana-1297	78	71	n	n	PROPN
cana-1297	78	72	of	of	ADP
cana-1297	78	73	a	a	DET
cana-1297	78	74	tгs	tгs	NOUN
cana-1297	78	75	-	-	PUNCT
cana-1297	78	76	subsemimodule	subsemimodule	NOUN
cana-1297	78	77	o	o	NOUN
cana-1297	78	78	is	be	AUX
cana-1297	78	79	named	name	VERB
cana-1297	78	80	kгs	kгs	NOUN
cana-1297	78	81	-	-	PUNCT
cana-1297	78	82	subsemimodule	subsemimodule	NOUN
cana-1297	78	83	o	o	NOUN
cana-1297	78	84	if	if	SCONJ
cana-1297	78	85	,	,	PUNCT
cana-1297	78	86	,	,	PUNCT
cana-1297	78	87	.k	.k	PUNCT
cana-1297	79	1	l	l	PROPN
cana-1297	79	2	n	n	ADP
cana-1297	79	3	l	l	NOUN
cana-1297	80	1	n	n	NOUN
cana-1297	80	2	k	k	NOUN
cana-1297	80	3	o	o	X
cana-1297	80	4	k	k	PROPN
cana-1297	80	5	n+	n+	PUNCT
cana-1297	80	6			PROPN
cana-1297	80	7			PROPN
cana-1297	80	8			PROPN
cana-1297	80	9			NOUN
cana-1297	80	10			PROPN
cana-1297	80	11	let	let	VERB
cana-1297	80	12	n	n	PRON
cana-1297	80	13	be	be	AUX
cana-1297	80	14	a	a	DET
cana-1297	80	15	tгs	tгs	NOUN
cana-1297	80	16	-	-	PUNCT
cana-1297	80	17	ss	ss	NOUN
cana-1297	80	18	of	of	ADP
cana-1297	80	19	a	a	DET
cana-1297	80	20	tгs	tгs	NOUN
cana-1297	80	21	-	-	PUNCT
cana-1297	80	22	subsemimodule	subsemimodule	NOUN
cana-1297	80	23	o.	o.	NOUN
cana-1297	80	24	subsequently	subsequently	ADV
cana-1297	80	25	kcommunications	kcommunication	NOUN
cana-1297	80	26	on	on	ADP
cana-1297	80	27	applied	apply	VERB
cana-1297	80	28	nonlinear	nonlinear	ADJ
cana-1297	80	29	analysis	analysis	NOUN
cana-1297	80	30	issn	issn	NOUN
cana-1297	80	31	:	:	PUNCT
cana-1297	80	32	1074	1074	NUM
cana-1297	80	33	-	-	PUNCT
cana-1297	80	34	133x	133x	NUM
cana-1297	80	35	vol	vol	NOUN
cana-1297	80	36	31	31	NUM
cana-1297	80	37	no	no	NOUN
cana-1297	80	38	.	.	PUNCT
cana-1297	81	1	7s	7	NOUN
cana-1297	81	2	(	(	PUNCT
cana-1297	81	3	2024	2024	NUM
cana-1297	81	4	)	)	PUNCT
cana-1297	81	5	224	224	NUM
cana-1297	81	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1297	81	7	closure	closure	NOUN
cana-1297	81	8	of	of	ADP
cana-1297	81	9	n	n	NUM
cana-1297	81	10	,	,	PUNCT
cana-1297	81	11	is	be	AUX
cana-1297	81	12	described	describe	VERB
cana-1297	81	13	by	by	ADP
cana-1297	81	14	{	{	PUNCT
cana-1297	81	15	:	:	PUNCT
cana-1297	81	16	:	:	PUNCT
cana-1297	81	17	,	,	PUNCT
cana-1297	81	18	}	}	PUNCT
cana-1297	81	19	.n	.n	PROPN
cana-1297	82	1	j	j	X
cana-1297	83	1	o	o	X
cana-1297	83	2	j	j	PROPN
cana-1297	83	3	k	k	PROPN
cana-1297	83	4	l	l	PROPN
cana-1297	83	5	k	k	PROPN
cana-1297	83	6	l	l	PROPN
cana-1297	83	7	n=	n=	ADJ
cana-1297	83	8			NOUN
cana-1297	84	1	+	+	SYM
cana-1297	84	2	=	=	AUX
cana-1297	84	3			NOUN
cana-1297	84	4	a	a	DET
cana-1297	84	5	tгs	tгs	PROPN
cana-1297	84	6	-	-	PUNCT
cana-1297	84	7	ss	ss	NOUN
cana-1297	84	8	‘	'	PUNCT
cana-1297	84	9	n	n	CCONJ
cana-1297	84	10	’	'	PUNCT
cana-1297	84	11	of	of	ADP
cana-1297	84	12	a	a	DET
cana-1297	84	13	tгs	tгs	NOUN
cana-1297	84	14	-	-	PUNCT
cana-1297	84	15	s	s	PART
cana-1297	84	16	o	o	NOUN
cana-1297	84	17	is	be	AUX
cana-1297	84	18	named	name	VERB
cana-1297	84	19	as	as	ADP
cana-1297	84	20	ternary	ternary	ADJ
cana-1297	84	21	(	(	PUNCT
cana-1297	84	22	hгs-	hгs-	NOUN
cana-1297	84	23	)	)	PUNCT
cana-1297	84	24	subsemimodule	subsemimodule	NOUN
cana-1297	84	25	of	of	ADP
cana-1297	84	26	o	o	NOUN
cana-1297	84	27	if	if	SCONJ
cana-1297	84	28	1	1	NUM
cana-1297	84	29	1	1	NUM
cana-1297	84	30	1	1	NUM
cana-1297	84	31	2	2	NUM
cana-1297	84	32	1	1	NUM
cana-1297	84	33	1	1	NUM
cana-1297	84	34	2	2	NUM
cana-1297	84	35	1	1	NUM
cana-1297	84	36	1	1	NUM
cana-1297	84	37	1	1	NUM
cana-1297	84	38	,	,	PUNCT
cana-1297	84	39	,	,	PUNCT
cana-1297	84	40	,	,	PUNCT
cana-1297	84	41	,	,	PUNCT
cana-1297	84	42	.x	.x	PROPN
cana-1297	84	43	n	n	PROPN
cana-1297	84	44	z	z	PROPN
cana-1297	84	45	n	n	PROPN
cana-1297	84	46	z	z	PROPN
cana-1297	84	47	n	n	CCONJ
cana-1297	84	48	n	n	CCONJ
cana-1297	84	49	n	n	NOUN
cana-1297	84	50	x	x	NOUN
cana-1297	85	1	z	z	NOUN
cana-1297	85	2	o	o	X
cana-1297	85	3	x	x	X
cana-1297	86	1	n+	n+	NOUN
cana-1297	86	2	+	+	SYM
cana-1297	86	3	=	=	SYM
cana-1297	86	4	+	+	NUM
cana-1297	86	5			NOUN
cana-1297	86	6			PROPN
cana-1297	86	7			NOUN
cana-1297	86	8			PROPN
cana-1297	86	9	let	let	VERB
cana-1297	86	10	n	n	PRON
cana-1297	86	11	be	be	AUX
cana-1297	86	12	a	a	DET
cana-1297	86	13	tгs	tгs	NOUN
cana-1297	86	14	-	-	PUNCT
cana-1297	86	15	ss	ss	NOUN
cana-1297	86	16	of	of	ADP
cana-1297	86	17	a	a	DET
cana-1297	86	18	tгs	tгs	NOUN
cana-1297	86	19	-	-	PUNCT
cana-1297	86	20	s	s	PART
cana-1297	86	21	‘	'	PUNCT
cana-1297	86	22	o	o	NOUN
cana-1297	86	23	’	'	PUNCT
cana-1297	86	24	.	.	PUNCT
cana-1297	87	1	afterward	afterward	ADV
cana-1297	87	2	h	h	NOUN
cana-1297	87	3	-	-	PUNCT
cana-1297	87	4	closure	closure	NOUN
cana-1297	87	5	of	of	ADP
cana-1297	87	6	n	n	CCONJ
cana-1297	87	7	,	,	PUNCT
cana-1297	87	8	is	be	AUX
cana-1297	87	9	named	name	VERB
cana-1297	87	10	by	by	ADP
cana-1297	87	11	n	n	NOUN
cana-1297	87	12	=	=	SYM
cana-1297	87	13	1	1	NUM
cana-1297	87	14	2	2	NUM
cana-1297	87	15	1	1	NUM
cana-1297	87	16	2	2	NUM
cana-1297	87	17	{	{	PUNCT
cana-1297	87	18	:	:	PUNCT
cana-1297	87	19	,	,	PUNCT
cana-1297	87	20	,	,	PUNCT
cana-1297	87	21	,	,	PUNCT
cana-1297	87	22	}	}	PUNCT
cana-1297	87	23	.o	.o	PUNCT
cana-1297	88	1	n	n	CCONJ
cana-1297	88	2	o	o	PROPN
cana-1297	88	3	n	n	CCONJ
cana-1297	88	4	z	z	PROPN
cana-1297	88	5	n	n	PROPN
cana-1297	88	6	z	z	PROPN
cana-1297	88	7	n	n	CCONJ
cana-1297	88	8	n	n	CCONJ
cana-1297	88	9	n	n	NOUN
cana-1297	88	10	z	z	NOUN
cana-1297	88	11	o	o	PROPN
cana-1297	89	1	+	+	CCONJ
cana-1297	90	1	+	+	PUNCT
cana-1297	90	2	=	=	SYM
cana-1297	90	3	+	+	ADJ
cana-1297	90	4			NOUN
cana-1297	90	5			NOUN
cana-1297	90	6	proposition	proposition	NOUN
cana-1297	90	7	3.03	3.03	NUM
cana-1297	90	8	:	:	PUNCT
cana-1297	90	9	let	let	VERB
cana-1297	90	10	n	n	PRON
cana-1297	90	11	be	be	AUX
cana-1297	90	12	a	a	DET
cana-1297	90	13	tгs	tгs	NOUN
cana-1297	90	14	-	-	PUNCT
cana-1297	90	15	ss	ss	NOUN
cana-1297	90	16	‘	'	PUNCT
cana-1297	90	17	n	n	CCONJ
cana-1297	90	18	’	'	PUNCT
cana-1297	90	19	of	of	ADP
cana-1297	90	20	a	a	DET
cana-1297	90	21	tгs	tгs	NOUN
cana-1297	90	22	-	-	PUNCT
cana-1297	90	23	s	s	PART
cana-1297	90	24	“	"	PUNCT
cana-1297	90	25	o	o	NOUN
cana-1297	90	26	”	"	PUNCT
cana-1297	90	27	.	.	PUNCT
cana-1297	91	1	afterward	afterward	ADV
cana-1297	91	2	kгs-	kгs-	X
cana-1297	91	3	(	(	PUNCT
cana-1297	91	4	hгs-	hгs-	NOUN
cana-1297	91	5	)	)	PUNCT
cana-1297	91	6	subsemimodule	subsemimodule	PROPN
cana-1297	91	7	iff	iff	PROPN
cana-1297	91	8	.	.	PROPN
cana-1297	92	1	=	=	PUNCT
cana-1297	92	2			NOUN
cana-1297	92	3	proof	proof	NOUN
cana-1297	92	4	:	:	PUNCT
cana-1297	92	5	the	the	DET
cana-1297	92	6	confirmation	confirmation	NOUN
cana-1297	92	7	involves	involve	VERB
cana-1297	92	8	routine	routine	ADJ
cana-1297	92	9	check	check	NOUN
cana-1297	92	10	.	.	PUNCT
cana-1297	93	1	a	a	DET
cana-1297	93	2	tгs	tгs	NOUN
cana-1297	93	3	-	-	PUNCT
cana-1297	93	4	s	s	PART
cana-1297	93	5	‘	'	PUNCT
cana-1297	93	6	o	o	NOUN
cana-1297	93	7	’	'	PUNCT
cana-1297	93	8	is	be	AUX
cana-1297	93	9	known	know	VERB
cana-1297	93	10	as	as	ADP
cana-1297	93	11	cancellative	cancellative	ADJ
cana-1297	93	12	if	if	SCONJ
cana-1297	93	13	,	,	PUNCT
cana-1297	93	14	,	,	PUNCT
cana-1297	93	15	,	,	PUNCT
cana-1297	93	16	.k	.k	PUNCT
cana-1297	94	1	l	l	PROPN
cana-1297	95	1	k	k	NOUN
cana-1297	95	2	m	m	VERB
cana-1297	95	3	k	k	X
cana-1297	95	4	l	l	NOUN
cana-1297	95	5	m	m	VERB
cana-1297	95	6	o	o	NOUN
cana-1297	95	7	l	l	NOUN
cana-1297	95	8	m+	m+	NOUN
cana-1297	95	9	=	=	SYM
cana-1297	96	1	+	+	NUM
cana-1297	96	2			NOUN
cana-1297	96	3			NOUN
cana-1297	96	4	=	=	PUNCT
cana-1297	96	5	all	all	ADV
cana-1297	96	6	through	through	ADP
cana-1297	96	7	the	the	DET
cana-1297	96	8	remainder	remainder	NOUN
cana-1297	96	9	of	of	ADP
cana-1297	96	10	the	the	DET
cana-1297	96	11	paper	paper	NOUN
cana-1297	96	12	tгs	tгs	PROPN
cana-1297	96	13	-	-	PUNCT
cana-1297	96	14	s	s	PART
cana-1297	96	15	is	be	AUX
cana-1297	96	16	‘	'	PUNCT
cana-1297	96	17	cancellative	cancellative	ADJ
cana-1297	96	18	’	'	PUNCT
cana-1297	96	19	.	.	PUNCT
cana-1297	97	1	definition	definition	NOUN
cana-1297	97	2	3.04	3.04	NUM
cana-1297	97	3	:	:	PUNCT
cana-1297	97	4	a	a	DET
cana-1297	97	5	tгs	tгs	NOUN
cana-1297	97	6	-	-	PUNCT
cana-1297	97	7	s	s	X
cana-1297	97	8	{	{	PUNCT
cana-1297	97	9	0	0	NUM
cana-1297	97	10	}	}	PUNCT
cana-1297	97	11	o	o	NOUN
cana-1297	97	12	is	be	AUX
cana-1297	97	13	called	call	VERB
cana-1297	97	14	as	as	ADP
cana-1297	97	15	‘	'	PUNCT
cana-1297	97	16	irreducible	irreducible	ADJ
cana-1297	97	17	’	'	PUNCT
cana-1297	97	18	iff	iff	PROPN
cana-1297	97	19	random	random	ADJ
cana-1297	97	20	set	set	NOUN
cana-1297	97	21	,	,	PUNCT
cana-1297	97	22	u	u	NOUN
cana-1297	97	23	v	v	ADP
cana-1297	97	24	o	o	PROPN
cana-1297	97	25	among	among	ADP
cana-1297	97	26	u	u	PROPN
cana-1297	97	27	v	v	PROPN
cana-1297	97	28	for	for	ADP
cana-1297	97	29	any	any	PRON
cana-1297	97	30	,	,	PUNCT
cana-1297	97	31	,	,	PUNCT
cana-1297	97	32	,	,	PUNCT
cana-1297	97	33	,	,	PUNCT
cana-1297	97	34	,	,	PUNCT
cana-1297	97	35	(	(	PUNCT
cana-1297	97	36	1,2,3,4	1,2,3,4	NUM
cana-1297	97	37	,	,	PUNCT
cana-1297	97	38	...	...	PUNCT
cana-1297	97	39	&	&	CCONJ
cana-1297	97	40	1,2,3,4	1,2,3,4	NUM
cana-1297	97	41	,	,	PUNCT
cana-1297	97	42	....	....	PUNCT
cana-1297	97	43	,	,	PUNCT
cana-1297	97	44	,	,	PUNCT
cana-1297	97	45	)	)	PUNCT
cana-1297	98	1	i	i	PRON
cana-1297	98	2	i	i	PRON
cana-1297	99	1	j	j	PROPN
cana-1297	100	1	j	j	PROPN
cana-1297	100	2	i	i	PRON
cana-1297	100	3	ik	ik	PROPN
cana-1297	101	1	n	n	PROPN
cana-1297	101	2	f	f	PROPN
cana-1297	101	3	g	g	PROPN
cana-1297	102	1	h	h	NOUN
cana-1297	103	1	i	i	PRON
cana-1297	103	2	s	s	VERB
cana-1297	103	3	j	j	PROPN
cana-1297	103	4	s	s	X
cana-1297	104	1	i	i	NOUN
cana-1297	104	2	r	r	NOUN
cana-1297	104	3	s	s	NOUN
cana-1297	104	4	r	r	NOUN
cana-1297	104	5	z	z	NOUN
cana-1297	104	6			NOUN
cana-1297	104	7	+	+	NOUN
cana-1297	104	8			NOUN
cana-1297	104	9			NUM
cana-1297	104	10			NOUN
cana-1297	104	11			NOUN
cana-1297	104	12	=	=	SYM
cana-1297	104	13	=	=	SYM
cana-1297	104	14			NOUN
cana-1297	104	15	such	such	ADJ
cana-1297	104	16	that	that	SCONJ
cana-1297	104	17	i	i	PRON
cana-1297	104	18	i	i	PRON
cana-1297	105	1	i	i	PRON
cana-1297	106	1	i	i	PRON
cana-1297	106	2	j	j	PROPN
cana-1297	107	1	j	j	PROPN
cana-1297	107	2	j	j	PROPN
cana-1297	108	1	j	j	PROPN
cana-1297	108	2	j	j	PROPN
cana-1297	109	1	j	j	PROPN
cana-1297	110	1	j	j	PROPN
cana-1297	110	2	j	j	PROPN
cana-1297	111	1	i	i	PRON
cana-1297	111	2	i	i	PRON
cana-1297	112	1	i	i	PRON
cana-1297	112	2	i	i	PRON
cana-1297	113	1	i	i	PRON
cana-1297	113	2	j	j	PROPN
cana-1297	114	1	j	j	INTJ
cana-1297	115	1	i	i	PRON
cana-1297	115	2	k	k	PROPN
cana-1297	116	1	u	u	X
cana-1297	116	2	f	f	PROPN
cana-1297	116	3	g	g	PROPN
cana-1297	116	4	v	v	INTJ
cana-1297	117	1	h	h	NOUN
cana-1297	118	1	i	i	PRON
cana-1297	118	2	u	u	INTJ
cana-1297	119	1	h	h	VERB
cana-1297	120	1	i	i	PRON
cana-1297	120	2	v	v	VERB
cana-1297	120	3	f	f	PROPN
cana-1297	120	4	g	g	PROPN
cana-1297	120	5			PROPN
cana-1297	120	6			ADJ
cana-1297	120	7			NOUN
cana-1297	120	8			ADJ
cana-1297	120	9			NOUN
cana-1297	120	10			NOUN
cana-1297	120	11			PROPN
cana-1297	120	12	+	+	PROPN
cana-1297	121	1	+	+	PUNCT
cana-1297	121	2	=	=	SYM
cana-1297	121	3	+	+	NOUN
cana-1297	121	4			X
cana-1297	121	5			X
cana-1297	121	6			X
cana-1297	121	7			X
cana-1297	121	8	.	.	PUNCT
cana-1297	122	1	a	a	DET
cana-1297	122	2	tгs	tгs	NOUN
cana-1297	122	3	-	-	PUNCT
cana-1297	122	4	s	s	PART
cana-1297	122	5	‘	'	PUNCT
cana-1297	122	6	o	o	NOUN
cana-1297	122	7	’	'	PUNCT
cana-1297	122	8	is	be	AUX
cana-1297	122	9	said	say	VERB
cana-1297	122	10	to	to	PART
cana-1297	122	11	be	be	AUX
cana-1297	122	12	semiirreducible	semiirreducible	ADJ
cana-1297	122	13	iff	iff	PROPN
cana-1297	122	14	{	{	PUNCT
cana-1297	122	15	0}o	0}o	PROPN
cana-1297	122	16	s	s	PART
cana-1297	122	17	s	s	PROPN
cana-1297	122	18			PROPN
cana-1297	122	19			PROPN
cana-1297	122	20	&	&	CCONJ
cana-1297	122	21	o	o	PROPN
cana-1297	122	22	does	do	AUX
cana-1297	122	23	n’t	not	PART
cana-1297	122	24	have	have	VERB
cana-1297	122	25	any	any	DET
cana-1297	122	26	kгs	kгs	NOUN
cana-1297	122	27	-	-	PUNCT
cana-1297	122	28	subsemimodule	subsemimodule	PROPN
cana-1297	122	29	except	except	SCONJ
cana-1297	122	30	0	0	NUM
cana-1297	122	31	&	&	CCONJ
cana-1297	122	32	o.	o.	PROPN
cana-1297	122	33	the	the	DET
cana-1297	122	34	thoughts	thought	NOUN
cana-1297	122	35	of	of	ADP
cana-1297	122	36	both	both	DET
cana-1297	122	37	semi	semi	ADJ
cana-1297	122	38	-	-	ADJ
cana-1297	122	39	irreducibility	irreducibility	ADJ
cana-1297	122	40	&	&	CCONJ
cana-1297	122	41	irreducibility	irreducibility	NOUN
cana-1297	122	42	concur	concur	NOUN
cana-1297	122	43	by	by	ADP
cana-1297	122	44	the	the	DET
cana-1297	122	45	idea	idea	NOUN
cana-1297	122	46	of	of	ADP
cana-1297	122	47	irreducibility	irreducibility	NOUN
cana-1297	122	48	in	in	ADP
cana-1297	122	49	a	a	DET
cana-1297	122	50	tгring	tгre	VERB
cana-1297	122	51	s([7],[8],[9	s([7],[8],[9	PROPN
cana-1297	122	52	]	]	PUNCT
cana-1297	122	53	)	)	PUNCT
cana-1297	122	54	.	.	PUNCT
cana-1297	123	1	proposition	proposition	NOUN
cana-1297	123	2	3.05	3.05	NUM
cana-1297	123	3	:	:	PUNCT
cana-1297	123	4	an	an	DET
cana-1297	123	5	ideal	ideal	ADJ
cana-1297	123	6	q	q	NOUN
cana-1297	123	7	of	of	ADP
cana-1297	123	8	a	a	DET
cana-1297	123	9	tг	tг	ADV
cana-1297	123	10	-	-	PUNCT
cana-1297	123	11	semiring	semire	VERB
cana-1297	123	12	s	s	NOUN
cana-1297	123	13	&	&	CCONJ
cana-1297	123	14	a	a	DET
cana-1297	123	15	tгs	tгs	PROPN
cana-1297	123	16	-	-	PUNCT
cana-1297	123	17	s	s	X
cana-1297	123	18	‘	'	PUNCT
cana-1297	123	19	n	n	CCONJ
cana-1297	123	20	’	'	PUNCT
cana-1297	123	21	by	by	ADP
cana-1297	123	22	{	{	PUNCT
cana-1297	123	23	0}.n	0}.n	PRON
cana-1297	123	24	s	s	VERB
cana-1297	123	25	q	q	PROPN
cana-1297	123	26			PROPN
cana-1297	123	27			PROPN
cana-1297	123	28	then	then	ADV
cana-1297	123	29	,	,	PUNCT
cana-1297	123	30	at	at	ADP
cana-1297	123	31	that	that	DET
cana-1297	123	32	point	point	NOUN
cana-1297	123	33	,	,	PUNCT
cana-1297	123	34	the	the	DET
cana-1297	123	35	accompanying	accompanying	ADJ
cana-1297	123	36	assertions	assertion	NOUN
cana-1297	123	37	are	be	AUX
cana-1297	123	38	valid	valid	ADJ
cana-1297	123	39	.	.	PUNCT
cana-1297	124	1	(	(	PUNCT
cana-1297	124	2	1	1	X
cana-1297	124	3	)	)	PUNCT
cana-1297	124	4	if	if	SCONJ
cana-1297	124	5	n	n	NOUN
cana-1297	124	6	is	be	AUX
cana-1297	124	7	semi	semi	ADJ
cana-1297	124	8	-	-	ADJ
cana-1297	124	9	irreducible	irreducible	ADJ
cana-1297	124	10	&	&	CCONJ
cana-1297	124	11	n	n	PROPN
cana-1297	124	12	n	n	PROPN
cana-1297	124	13	afterward	afterward	VERB
cana-1297	124	14	n=0	n=0	PUNCT
cana-1297	124	15	iff	iff	PROPN
cana-1297	124	16	0	0	NUM
cana-1297	124	17	,	,	PUNCT
cana-1297	124	18	&	&	CCONJ
cana-1297	124	19	,	,	PUNCT
cana-1297	124	20	n	n	PROPN
cana-1297	124	21	s	s	AUX
cana-1297	124	22	q	q	X
cana-1297	124	23	s	s	X
cana-1297	124	24	s	s	X
cana-1297	124	25	q	q	ADJ
cana-1297	124	26	q	q	PROPN
cana-1297	124	27			PROPN
cana-1297	124	28			NOUN
cana-1297	124	29	=	=	NOUN
cana-1297	124	30			VERB
cana-1297	124	31			NOUN
cana-1297	124	32			VERB
cana-1297	124	33			NOUN
cana-1297	124	34			NOUN
cana-1297	124	35	i.e.	i.e.	X
cana-1297	124	36	,	,	PUNCT
cana-1297	124	37	n=0	n=0	NUM
cana-1297	124	38	iff	iff	NOUN
cana-1297	124	39	{	{	PUNCT
cana-1297	124	40	0}.n	0}.n	NUM
cana-1297	124	41	s	s	VERB
cana-1297	124	42	q	q	PROPN
cana-1297	124	43			VERB
cana-1297	124	44	=	=	SYM
cana-1297	124	45	(	(	PUNCT
cana-1297	124	46	2	2	NUM
cana-1297	124	47	)	)	PUNCT
cana-1297	124	48	if	if	SCONJ
cana-1297	124	49	n	n	PRON
cana-1297	124	50	is	be	AUX
cana-1297	124	51	irreducible	irreducible	ADJ
cana-1297	124	52	&	&	CCONJ
cana-1297	124	53	,	,	PUNCT
cana-1297	124	54	u	u	PROPN
cana-1297	124	55	v	v	ADP
cana-1297	124	56	n	n	PROPN
cana-1297	124	57	afterward	afterward	ADP
cana-1297	124	58	u	u	NOUN
cana-1297	124	59	=	=	PROPN
cana-1297	124	60	v	v	X
cana-1297	124	61	iff	iff	PROPN
cana-1297	124	62	1	1	NUM
cana-1297	124	63	1	1	NUM
cana-1297	124	64	,	,	PUNCT
cana-1297	124	65	,	,	PUNCT
cana-1297	124	66	,	,	PUNCT
cana-1297	124	67	,	,	PUNCT
cana-1297	124	68	,	,	PUNCT
cana-1297	124	69	1,2	1,2	NUM
cana-1297	124	70	,	,	PUNCT
cana-1297	124	71	....	....	PUNCT
cana-1297	124	72	;	;	PUNCT
cana-1297	124	73	n	n	CCONJ
cana-1297	125	1	n	n	CCONJ
cana-1297	126	1	i	i	PRON
cana-1297	127	1	i	i	PRON
cana-1297	128	1	i	i	PRON
cana-1297	129	1	i	i	PRON
cana-1297	130	1	i	i	PRON
cana-1297	131	1	i	i	PRON
cana-1297	132	1	i	i	PRON
cana-1297	133	1	i	i	PRON
cana-1297	134	1	i	i	PRON
cana-1297	135	1	i	i	PRON
cana-1297	136	1	i	i	PRON
cana-1297	137	1	i	i	PRON
cana-1297	138	1	i	i	PRON
cana-1297	139	1	i	i	PRON
cana-1297	139	2	u	u	VERB
cana-1297	140	1	k	k	PROPN
cana-1297	140	2	l	l	PROPN
cana-1297	140	3	v	v	PROPN
cana-1297	141	1	k	k	PROPN
cana-1297	141	2	l	l	NOUN
cana-1297	141	3	k	k	PROPN
cana-1297	142	1	l	l	NOUN
cana-1297	142	2	s	s	VERB
cana-1297	143	1	i	i	PRON
cana-1297	143	2	p	p	PROPN
cana-1297	143	3			PROPN
cana-1297	143	4			NOUN
cana-1297	143	5			NOUN
cana-1297	143	6			NOUN
cana-1297	143	7			NOUN
cana-1297	143	8	=	=	SYM
cana-1297	143	9	=	=	SYM
cana-1297	143	10	=	=	PUNCT
cana-1297	143	11			NOUN
cana-1297	143	12			NOUN
cana-1297	143	13			VERB
cana-1297	143	14			NOUN
cana-1297	143	15	=	=	PRON
cana-1297	143	16			X
cana-1297	143	17			X
cana-1297	144	1	p	p	NOUN
cana-1297	144	2	is	be	AUX
cana-1297	144	3	any	any	DET
cana-1297	144	4	positive	positive	ADJ
cana-1297	144	5	integer	integer	NOUN
cana-1297	144	6	.	.	PUNCT
cana-1297	145	1	proof	proof	NOUN
cana-1297	145	2	:	:	PUNCT
cana-1297	145	3	(	(	PUNCT
cana-1297	145	4	1	1	X
cana-1297	145	5	)	)	PUNCT
cana-1297	145	6	given	give	VERB
cana-1297	145	7	n	n	PROPN
cana-1297	145	8	is	be	AUX
cana-1297	145	9	semi	semi	ADJ
cana-1297	145	10	-	-	ADJ
cana-1297	145	11	irreducible	irreducible	ADJ
cana-1297	145	12	&	&	CCONJ
cana-1297	145	13	0	0	NUM
cana-1297	145	14	,	,	PUNCT
cana-1297	145	15	&	&	CCONJ
cana-1297	145	16	,	,	PUNCT
cana-1297	145	17	n	n	PROPN
cana-1297	145	18	s	s	AUX
cana-1297	145	19	q	q	X
cana-1297	145	20	s	s	X
cana-1297	145	21	s	s	X
cana-1297	145	22	q	q	ADJ
cana-1297	145	23	q	q	PROPN
cana-1297	145	24			PROPN
cana-1297	145	25			NOUN
cana-1297	145	26	=	=	NOUN
cana-1297	145	27			VERB
cana-1297	145	28			NOUN
cana-1297	145	29			VERB
cana-1297	145	30			PROPN
cana-1297	145	31			NOUN
cana-1297	145	32	.	.	PUNCT
cana-1297	146	1	let	let	VERB
cana-1297	146	2	0	0	NUM
cana-1297	146	3	{	{	PUNCT
cana-1297	146	4	:	:	PUNCT
cana-1297	146	5	{	{	PUNCT
cana-1297	146	6	0}}.n	0}}.n	NOUN
cana-1297	146	7	y	y	PROPN
cana-1297	146	8	n	n	PROPN
cana-1297	146	9	y	y	PROPN
cana-1297	146	10	s	s	PART
cana-1297	146	11	q=	q=	ADV
cana-1297	146	12			NOUN
cana-1297	146	13			PUNCT
cana-1297	146	14			VERB
cana-1297	146	15	=	=	PUNCT
cana-1297	146	16	0.n	0.n	NUM
cana-1297	146	17	n	n	PROPN
cana-1297	146	18			NOUN
cana-1297	146	19	.	.	PUNCT
cana-1297	147	1	let	let	VERB
cana-1297	147	2	0.,k	0.,k	NUM
cana-1297	147	3	l	l	NOUN
cana-1297	147	4	n	n	PROPN
cana-1297	147	5	.	.	PUNCT
cana-1297	148	1	then	then	ADV
cana-1297	148	2	(	(	PUNCT
cana-1297	148	3	)	)	PUNCT
cana-1297	148	4	{	{	PUNCT
cana-1297	148	5	0}.k	0}.k	NUM
cana-1297	148	6	l	l	NOUN
cana-1297	148	7	s	s	X
cana-1297	148	8	q	q	X
cana-1297	148	9	k	k	X
cana-1297	148	10	s	s	X
cana-1297	148	11	q	q	X
cana-1297	148	12	l	l	NOUN
cana-1297	148	13	s	s	PART
cana-1297	148	14	q+	q+	PUNCT
cana-1297	148	15			VERB
cana-1297	148	16			VERB
cana-1297	148	17			NOUN
cana-1297	148	18			VERB
cana-1297	148	19			VERB
cana-1297	148	20	+	+	CCONJ
cana-1297	148	21			VERB
cana-1297	148	22			VERB
cana-1297	148	23	=	=	NOUN
cana-1297	148	24	thus	thus	ADV
cana-1297	148	25	0	0	NUM
cana-1297	148	26	.	.	PUNCT
cana-1297	149	1	(	(	PUNCT
cana-1297	149	2	)	)	PUNCT
cana-1297	149	3	k	k	X
cana-1297	149	4	l	l	PROPN
cana-1297	149	5	n+	n+	PRON
cana-1297	149	6			NOUN
cana-1297	149	7	thus	thus	ADV
cana-1297	149	8	0.n	0.n	NUM
cana-1297	149	9	is	be	AUX
cana-1297	149	10	a	a	DET
cana-1297	149	11	tгs	tгs	NOUN
cana-1297	149	12	-	-	PUNCT
cana-1297	149	13	subsemimodule	subsemimodule	NOUN
cana-1297	149	14	of	of	ADP
cana-1297	149	15	n.	n.	NOUN
cana-1297	149	16	let	let	VERB
cana-1297	149	17	0	0	NUM
cana-1297	149	18	.	.	PUNCT
cana-1297	149	19	(	(	PUNCT
cana-1297	149	20	)	)	PUNCT
cana-1297	149	21	,	,	PUNCT
cana-1297	149	22	&	&	CCONJ
cana-1297	149	23	.k	.k	PROPN
cana-1297	150	1	l	l	PROPN
cana-1297	150	2	l	l	PROPN
cana-1297	150	3	n	n	CCONJ
cana-1297	150	4	k	k	PROPN
cana-1297	150	5	n+	n+	PROPN
cana-1297	150	6			NOUN
cana-1297	150	7			NOUN
cana-1297	150	8	then	then	ADV
cana-1297	150	9	(	(	PUNCT
cana-1297	150	10	)	)	PUNCT
cana-1297	150	11	0	0	NUM
cana-1297	150	12	&	&	CCONJ
cana-1297	150	13	0	0	NUM
cana-1297	150	14	,	,	PUNCT
cana-1297	150	15	&	&	CCONJ
cana-1297	150	16	,	,	PUNCT
cana-1297	150	17	.k	.k	PUNCT
cana-1297	151	1	l	l	PROPN
cana-1297	151	2	s	s	X
cana-1297	151	3	q	q	X
cana-1297	151	4	l	l	NOUN
cana-1297	151	5	s	s	X
cana-1297	151	6	q	q	X
cana-1297	151	7	q	q	X
cana-1297	151	8	q	q	X
cana-1297	151	9	s	s	PROPN
cana-1297	151	10	s	s	NOUN
cana-1297	151	11			ADJ
cana-1297	151	12			NOUN
cana-1297	151	13			NOUN
cana-1297	151	14			NOUN
cana-1297	151	15	+	+	NOUN
cana-1297	152	1	=	=	X
cana-1297	153	1	=	=	PUNCT
cana-1297	154	1			NOUN
cana-1297	154	2			NOUN
cana-1297	154	3			ADJ
cana-1297	154	4			PROPN
cana-1297	154	5			NOUN
cana-1297	154	6	(	(	PUNCT
cana-1297	154	7	)	)	PUNCT
cana-1297	154	8	,	,	PUNCT
cana-1297	154	9	&	&	CCONJ
cana-1297	154	10	,	,	PUNCT
cana-1297	154	11	k	k	PROPN
cana-1297	154	12	s	s	PROPN
cana-1297	154	13	q	q	X
cana-1297	155	1	k	k	X
cana-1297	155	2	s	s	X
cana-1297	155	3	q	q	X
cana-1297	155	4	l	l	NOUN
cana-1297	155	5	s	s	AUX
cana-1297	155	6	q	q	X
cana-1297	155	7	k	k	PROPN
cana-1297	155	8	l	l	PROPN
cana-1297	155	9	s	s	X
cana-1297	155	10	q	q	X
cana-1297	155	11	q	q	X
cana-1297	155	12	q	q	X
cana-1297	155	13	s	s	PROPN
cana-1297	155	14	s	s	NOUN
cana-1297	155	15			ADJ
cana-1297	155	16			NOUN
cana-1297	155	17			NOUN
cana-1297	155	18			NOUN
cana-1297	155	19			NOUN
cana-1297	155	20			NOUN
cana-1297	155	21			NOUN
cana-1297	155	22			NOUN
cana-1297	155	23			PROPN
cana-1297	155	24	=	=	PUNCT
cana-1297	156	1	+	+	PUNCT
cana-1297	157	1	=	=	SYM
cana-1297	157	2	+	+	CCONJ
cana-1297	157	3			ADJ
cana-1297	157	4			NOUN
cana-1297	157	5			ADJ
cana-1297	157	6			NOUN
cana-1297	157	7			NOUN
cana-1297	157	8	hence	hence	ADV
cana-1297	157	9	{	{	PUNCT
cana-1297	157	10	0}.k	0}.k	PRON
cana-1297	157	11	s	s	VERB
cana-1297	157	12	q	q	NOUN
cana-1297	157	13			VERB
cana-1297	157	14	=	=	NOUN
cana-1297	157	15	hence	hence	ADV
cana-1297	157	16	0k	0k	NOUN
cana-1297	157	17	n	n	VERB
cana-1297	157	18	proving	prove	VERB
cana-1297	157	19	0n	0n	NOUN
cana-1297	157	20	is	be	AUX
cana-1297	157	21	a	a	DET
cana-1297	157	22	ternary	ternary	ADJ
cana-1297	157	23	k	k	NOUN
cana-1297	157	24	-	-	NOUN
cana-1297	157	25	subsemimodule	subsemimodule	NOUN
cana-1297	157	26	of	of	ADP
cana-1297	157	27	n.	n.	PROPN
cana-1297	157	28	0{0	0{0	PROPN
cana-1297	157	29	}	}	PUNCT
cana-1297	157	30	,	,	PUNCT
cana-1297	157	31	.n	.n	PROPN
cana-1297	157	32	s	s	PART
cana-1297	157	33	q	q	PROPN
cana-1297	157	34	n	n	CCONJ
cana-1297	157	35	n	n	PROPN
cana-1297	157	36			PROPN
cana-1297	157	37			PROPN
cana-1297	157	38			X
cana-1297	157	39	s	s	X
cana-1297	157	40	is	be	AUX
cana-1297	157	41	semiirreducible	semiirreducible	ADJ
cana-1297	157	42	subsequently	subsequently	ADV
cana-1297	157	43	0	0	NUM
cana-1297	158	1	{	{	PUNCT
cana-1297	158	2	0}.n	0}.n	NUM
cana-1297	158	3	=	=	SYM
cana-1297	158	4			NOUN
cana-1297	158	5	n=0	n=0	NUM
cana-1297	158	6	.	.	PUNCT
cana-1297	159	1	on	on	ADP
cana-1297	159	2	the	the	DET
cana-1297	159	3	contrary	contrary	NOUN
cana-1297	159	4	,	,	PUNCT
cana-1297	159	5	if	if	SCONJ
cana-1297	159	6	n=0	n=0	NUM
cana-1297	159	7	then	then	ADV
cana-1297	159	8	0	0	NUM
cana-1297	159	9	,	,	PUNCT
cana-1297	159	10	&	&	CCONJ
cana-1297	159	11	,	,	PUNCT
cana-1297	159	12	.n	.n	PROPN
cana-1297	160	1	s	s	AUX
cana-1297	160	2	q	q	X
cana-1297	160	3	s	s	X
cana-1297	160	4	s	s	X
cana-1297	160	5	q	q	ADJ
cana-1297	160	6	q	q	PROPN
cana-1297	160	7			PROPN
cana-1297	160	8			NOUN
cana-1297	160	9	=	=	NOUN
cana-1297	160	10			VERB
cana-1297	160	11			NOUN
cana-1297	160	12			ADJ
cana-1297	160	13			NOUN
cana-1297	160	14			NOUN
cana-1297	160	15	(	(	PUNCT
cana-1297	160	16	2	2	X
cana-1297	160	17	)	)	PUNCT
cana-1297	160	18	let	let	VERB
cana-1297	160	19	n	n	PRON
cana-1297	160	20	be	be	AUX
cana-1297	160	21	irreducible	irreducible	ADJ
cana-1297	160	22	&	&	CCONJ
cana-1297	160	23	,	,	PUNCT
cana-1297	160	24	u	u	PROPN
cana-1297	160	25	v	v	ADP
cana-1297	160	26	n	n	VERB
cana-1297	160	27	.u	.u	PROPN
cana-1297	160	28	v	v	ADP
cana-1297	160	29			NOUN
cana-1297	160	30	{	{	PUNCT
cana-1297	160	31	0	0	NUM
cana-1297	160	32	}	}	PUNCT
cana-1297	160	33	,	,	PUNCT
cana-1297	160	34	,	,	PUNCT
cana-1297	160	35	&	&	CCONJ
cana-1297	160	36	0.n	0.n	NUM
cana-1297	160	37	s	s	PROPN
cana-1297	160	38	q	q	PROPN
cana-1297	160	39	n	n	PROPN
cana-1297	160	40	n	n	PROPN
cana-1297	160	41	t	t	NOUN
cana-1297	160	42	s	s	PART
cana-1297	160	43	q	q	X
cana-1297	160	44	q	q	PROPN
cana-1297	160	45	n	n	NUM
cana-1297	160	46	t	t	PROPN
cana-1297	160	47	q	q	PROPN
cana-1297	160	48			PROPN
cana-1297	160	49			PROPN
cana-1297	160	50			PROPN
cana-1297	160	51			PROPN
cana-1297	160	52			PROPN
cana-1297	160	53			PROPN
cana-1297	160	54			NOUN
cana-1297	160	55			PROPN
cana-1297	160	56			NOUN
cana-1297	160	57	again	again	ADV
cana-1297	160	58	since	since	SCONJ
cana-1297	160	59	n	n	PRON
cana-1297	160	60	is	be	AUX
cana-1297	160	61	irreducible	irreducible	ADJ
cana-1297	160	62	,	,	PUNCT
cana-1297	160	63	for	for	ADP
cana-1297	160	64	this	this	DET
cana-1297	160	65	n	n	CCONJ
cana-1297	160	66	,	,	PUNCT
cana-1297	160	67	communications	communication	NOUN
cana-1297	160	68	on	on	ADP
cana-1297	160	69	applied	apply	VERB
cana-1297	160	70	nonlinear	nonlinear	ADJ
cana-1297	160	71	analysis	analysis	NOUN
cana-1297	160	72	issn	issn	NOUN
cana-1297	160	73	:	:	PUNCT
cana-1297	160	74	1074	1074	NUM
cana-1297	160	75	-	-	PUNCT
cana-1297	160	76	133x	133x	NUM
cana-1297	160	77	vol	vol	NOUN
cana-1297	160	78	31	31	NUM
cana-1297	160	79	no	no	NOUN
cana-1297	160	80	.	.	PUNCT
cana-1297	161	1	7s	7	NOUN
cana-1297	161	2	(	(	PUNCT
cana-1297	161	3	2024	2024	NUM
cana-1297	161	4	)	)	PUNCT
cana-1297	161	5	225	225	NUM
cana-1297	161	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1297	161	7	,	,	PUNCT
cana-1297	161	8	,	,	PUNCT
cana-1297	161	9	,	,	PUNCT
cana-1297	161	10	(	(	PUNCT
cana-1297	161	11	1	1	NUM
cana-1297	161	12	,	,	PUNCT
cana-1297	161	13	1	1	NUM
cana-1297	161	14	;	;	PUNCT
cana-1297	161	15	,	,	PUNCT
cana-1297	161	16	i	i	PRON
cana-1297	161	17	i	i	PRON
cana-1297	162	1	j	j	PROPN
cana-1297	163	1	jf	jf	INTJ
cana-1297	163	2	g	g	PROPN
cana-1297	163	3	h	h	NOUN
cana-1297	164	1	i	i	PRON
cana-1297	164	2	s	s	VERB
cana-1297	165	1	i	i	NOUN
cana-1297	165	2	r	r	NOUN
cana-1297	165	3	j	j	PROPN
cana-1297	165	4	s	s	PART
cana-1297	165	5	r	r	NOUN
cana-1297	165	6	s	s	PROPN
cana-1297	165	7	z	z	NOUN
cana-1297	165	8	+	+	PROPN
cana-1297	165	9			PROPN
cana-1297	165	10			NOUN
cana-1297	165	11			VERB
cana-1297	165	12			NOUN
cana-1297	165	13			NOUN
cana-1297	165	14			NOUN
cana-1297	165	15			NOUN
cana-1297	165	16	such	such	ADJ
cana-1297	165	17	that	that	SCONJ
cana-1297	165	18	1	1	NUM
cana-1297	165	19	1	1	NUM
cana-1297	165	20	1	1	NUM
cana-1297	165	21	1	1	NUM
cana-1297	165	22	.	.	PUNCT
cana-1297	166	1	r	r	NOUN
cana-1297	166	2	s	s	NOUN
cana-1297	166	3	s	s	NOUN
cana-1297	166	4	r	r	NOUN
cana-1297	167	1	i	i	PRON
cana-1297	168	1	i	i	PRON
cana-1297	168	2	j	j	PROPN
cana-1297	169	1	j	j	PROPN
cana-1297	170	1	j	j	PROPN
cana-1297	170	2	j	j	PROPN
cana-1297	171	1	i	i	PRON
cana-1297	171	2	i	i	PRON
cana-1297	172	1	i	i	PRON
cana-1297	172	2	j	j	VERB
cana-1297	173	1	j	j	PROPN
cana-1297	173	2	i	i	PRON
cana-1297	173	3	n	n	VERB
cana-1297	173	4	u	u	NOUN
cana-1297	173	5	f	f	PROPN
cana-1297	173	6	g	g	PROPN
cana-1297	173	7	v	v	INTJ
cana-1297	174	1	h	h	NOUN
cana-1297	175	1	i	i	PRON
cana-1297	175	2	u	u	INTJ
cana-1297	176	1	h	h	VERB
cana-1297	177	1	i	i	PRON
cana-1297	177	2	v	v	VERB
cana-1297	177	3	f	f	PROPN
cana-1297	177	4	g	g	PROPN
cana-1297	177	5			PROPN
cana-1297	177	6			ADJ
cana-1297	177	7			NOUN
cana-1297	177	8			NOUN
cana-1297	177	9			PROPN
cana-1297	177	10			ADJ
cana-1297	177	11			NOUN
cana-1297	177	12	=	=	PUNCT
cana-1297	177	13	=	=	PUNCT
cana-1297	178	1	=	=	PUNCT
cana-1297	178	2	=	=	PUNCT
cana-1297	179	1	+	+	PUNCT
cana-1297	179	2	+	+	CCONJ
cana-1297	179	3	=	=	SYM
cana-1297	179	4	+	+	NOUN
cana-1297	179	5			X
cana-1297	179	6			X
cana-1297	179	7			X
cana-1297	179	8			X
cana-1297	179	9	hence	hence	ADV
cana-1297	179	10	1	1	NUM
cana-1297	179	11	1	1	NUM
cana-1297	179	12	1	1	NUM
cana-1297	179	13	1	1	NUM
cana-1297	179	14	&	&	CCONJ
cana-1297	179	15	,	,	PUNCT
cana-1297	179	16	,	,	PUNCT
cana-1297	179	17	,	,	PUNCT
cana-1297	179	18	,	,	PUNCT
cana-1297	179	19	,	,	PUNCT
cana-1297	179	20	,	,	PUNCT
cana-1297	179	21	,	,	PUNCT
cana-1297	179	22	,	,	PUNCT
cana-1297	179	23	,	,	PUNCT
cana-1297	179	24	.	.	PUNCT
cana-1297	180	1	r	r	NOUN
cana-1297	180	2	s	s	NOUN
cana-1297	180	3	s	s	NOUN
cana-1297	180	4	r	r	NOUN
cana-1297	181	1	i	i	PRON
cana-1297	182	1	i	i	PRON
cana-1297	182	2	j	j	PROPN
cana-1297	183	1	j	j	PROPN
cana-1297	184	1	j	j	PROPN
cana-1297	184	2	j	j	PROPN
cana-1297	185	1	i	i	PRON
cana-1297	185	2	i	i	PRON
cana-1297	186	1	i	i	PRON
cana-1297	186	2	j	j	VERB
cana-1297	187	1	j	j	PROPN
cana-1297	187	2	i	i	PRON
cana-1297	187	3	n	n	VERB
cana-1297	187	4	t	t	X
cana-1297	187	5	p	p	X
cana-1297	187	6	u	u	X
cana-1297	187	7	f	f	PROPN
cana-1297	187	8	g	g	PROPN
cana-1297	187	9	t	t	PROPN
cana-1297	187	10	p	p	NOUN
cana-1297	187	11	v	v	INTJ
cana-1297	188	1	h	h	NOUN
cana-1297	189	1	i	i	PRON
cana-1297	189	2	t	t	VERB
cana-1297	189	3	p	p	X
cana-1297	190	1	u	u	NOUN
cana-1297	191	1	h	h	NOUN
cana-1297	192	1	i	i	PRON
cana-1297	192	2	t	t	VERB
cana-1297	192	3	p	p	X
cana-1297	192	4	v	v	ADP
cana-1297	192	5	f	f	PROPN
cana-1297	192	6	g	g	PROPN
cana-1297	192	7	t	t	PROPN
cana-1297	193	1	p	p	PROPN
cana-1297	193	2	t	t	PROPN
cana-1297	193	3	s	s	PROPN
cana-1297	193	4	p	p	X
cana-1297	193	5	p	p	NOUN
cana-1297	193	6			NOUN
cana-1297	193	7			PROPN
cana-1297	193	8			NOUN
cana-1297	193	9			PROPN
cana-1297	193	10			NUM
cana-1297	193	11			PROPN
cana-1297	193	12			ADJ
cana-1297	193	13			NOUN
cana-1297	193	14			ADP
cana-1297	193	15			PROPN
cana-1297	193	16			NOUN
cana-1297	193	17			PROPN
cana-1297	193	18			PROPN
cana-1297	193	19			ADJ
cana-1297	193	20			NOUN
cana-1297	193	21			NOUN
cana-1297	193	22			NUM
cana-1297	193	23			PROPN
cana-1297	193	24			NOUN
cana-1297	193	25			NUM
cana-1297	193	26			NUM
cana-1297	193	27			NOUN
cana-1297	193	28			NOUN
cana-1297	193	29			PROPN
cana-1297	193	30			NOUN
cana-1297	193	31	=	=	NOUN
cana-1297	194	1	=	=	SYM
cana-1297	194	2	=	=	PUNCT
cana-1297	194	3	=	=	PUNCT
cana-1297	195	1	+	+	PUNCT
cana-1297	195	2	+	+	NUM
cana-1297	195	3	=	=	SYM
cana-1297	195	4	+	+	CCONJ
cana-1297	195	5			ADJ
cana-1297	195	6			NOUN
cana-1297	195	7			NOUN
cana-1297	195	8			NOUN
cana-1297	195	9			X
cana-1297	195	10			X
cana-1297	195	11			X
cana-1297	195	12			X
cana-1297	195	13	1	1	NUM
cana-1297	195	14	1	1	NUM
cana-1297	195	15	1	1	NUM
cana-1297	195	16	1	1	NUM
cana-1297	195	17	r	r	NOUN
cana-1297	195	18	s	s	NOUN
cana-1297	195	19	s	s	NOUN
cana-1297	195	20	r	r	NOUN
cana-1297	196	1	i	i	PRON
cana-1297	197	1	i	i	PRON
cana-1297	197	2	j	j	PROPN
cana-1297	198	1	j	j	PROPN
cana-1297	199	1	j	j	PROPN
cana-1297	199	2	j	j	PROPN
cana-1297	200	1	i	i	PRON
cana-1297	200	2	i	i	PRON
cana-1297	201	1	i	i	PRON
cana-1297	201	2	j	j	VERB
cana-1297	202	1	j	j	PROPN
cana-1297	202	2	i	i	PRON
cana-1297	202	3	n	n	VERB
cana-1297	202	4	t	t	X
cana-1297	202	5	p	p	X
cana-1297	202	6	u	u	X
cana-1297	202	7	f	f	PROPN
cana-1297	202	8	g	g	PROPN
cana-1297	202	9	v	v	INTJ
cana-1297	203	1	h	h	NOUN
cana-1297	204	1	i	i	PRON
cana-1297	204	2	u	u	INTJ
cana-1297	205	1	h	h	VERB
cana-1297	206	1	i	i	PRON
cana-1297	206	2	v	v	VERB
cana-1297	206	3	f	f	X
cana-1297	206	4	g	g	ADJ
cana-1297	206	5			PROPN
cana-1297	206	6			NOUN
cana-1297	206	7			NOUN
cana-1297	206	8			ADJ
cana-1297	206	9			NOUN
cana-1297	206	10			NOUN
cana-1297	206	11			PROPN
cana-1297	206	12			ADJ
cana-1297	206	13			NOUN
cana-1297	206	14	=	=	PUNCT
cana-1297	207	1	=	=	PUNCT
cana-1297	207	2	=	=	PUNCT
cana-1297	207	3	=	=	PUNCT
cana-1297	208	1			PROPN
cana-1297	208	2			ADV
cana-1297	208	3			PRON
cana-1297	208	4			X
cana-1297	209	1	+	+	PUNCT
cana-1297	210	1	+	+	PUNCT
cana-1297	210	2	=	=	SYM
cana-1297	210	3	+	+	NOUN
cana-1297	210	4			X
cana-1297	210	5			X
cana-1297	210	6			X
cana-1297	210	7			X
cana-1297	210	8	where	where	SCONJ
cana-1297	210	9	&	&	CCONJ
cana-1297	210	10	.i	.i	PROPN
cana-1297	211	1	i	i	PRON
cana-1297	212	1	j	j	PROPN
cana-1297	213	1	jg	jg	PROPN
cana-1297	213	2	g	g	PROPN
cana-1297	213	3	t	t	PROPN
cana-1297	214	1	p	p	X
cana-1297	214	2	p	p	X
cana-1297	215	1	i	i	PRON
cana-1297	215	2	i	i	PRON
cana-1297	216	1	t	t	VERB
cana-1297	216	2	p	p	NOUN
cana-1297	216	3	p	p	PROPN
cana-1297	217	1			PROPN
cana-1297	217	2			PROPN
cana-1297	217	3			NOUN
cana-1297	217	4	=	=	ADJ
cana-1297	217	5			NOUN
cana-1297	217	6	=	=	PUNCT
cana-1297	217	7			NOUN
cana-1297	217	8	since	since	SCONJ
cana-1297	217	9	n	n	NUM
cana-1297	217	10	is	be	AUX
cana-1297	217	11	cancellative	cancellative	ADJ
cana-1297	217	12	and	and	CCONJ
cana-1297	217	13	0n	0n	NOUN
cana-1297	217	14	t	t	PROPN
cana-1297	217	15	p	p	PROPN
cana-1297	217	16			PROPN
cana-1297	217	17			VERB
cana-1297	217	18	so	so	ADV
cana-1297	217	19	atleast	atleast	ADJ
cana-1297	217	20	one	one	NUM
cana-1297	217	21	of	of	ADP
cana-1297	217	22	1	1	NUM
cana-1297	217	23	1	1	NUM
cana-1297	217	24	1	1	NUM
cana-1297	217	25	1	1	NUM
cana-1297	217	26	&	&	CCONJ
cana-1297	218	1	r	r	NOUN
cana-1297	218	2	r	r	NOUN
cana-1297	218	3	s	s	NOUN
cana-1297	218	4	s	s	X
cana-1297	219	1	i	i	PRON
cana-1297	219	2	i	i	PRON
cana-1297	220	1	i	i	PRON
cana-1297	221	1	i	i	PRON
cana-1297	221	2	j	j	PROPN
cana-1297	222	1	j	j	PROPN
cana-1297	223	1	j	j	PROPN
cana-1297	223	2	j	j	PROPN
cana-1297	224	1	i	i	PRON
cana-1297	224	2	i	i	INTJ
cana-1297	225	1	j	j	VERB
cana-1297	225	2	j	j	PROPN
cana-1297	225	3	u	u	X
cana-1297	225	4	f	f	PROPN
cana-1297	225	5	g	g	PROPN
cana-1297	225	6	v	v	NUM
cana-1297	226	1	f	f	PROPN
cana-1297	226	2	g	g	NOUN
cana-1297	226	3	u	u	NOUN
cana-1297	227	1	h	h	NOUN
cana-1297	228	1	i	i	PRON
cana-1297	228	2	v	v	VERB
cana-1297	228	3	h	h	NOUN
cana-1297	228	4	i	i	VERB
cana-1297	228	5			PROPN
cana-1297	228	6			NOUN
cana-1297	228	7			NOUN
cana-1297	228	8			ADJ
cana-1297	228	9			NOUN
cana-1297	228	10			ADJ
cana-1297	228	11			NOUN
cana-1297	228	12	=	=	PUNCT
cana-1297	229	1	=	=	PUNCT
cana-1297	229	2	=	=	PUNCT
cana-1297	229	3	=	=	PUNCT
cana-1297	230	1			PROPN
cana-1297	230	2			ADV
cana-1297	230	3			ADV
cana-1297	230	4			PROPN
cana-1297	230	5			X
cana-1297	230	6			X
cana-1297	230	7			X
cana-1297	230	8			X
cana-1297	230	9	holds	hold	VERB
cana-1297	230	10	.	.	PUNCT
cana-1297	231	1	the	the	DET
cana-1297	231	2	converse	converse	NOUN
cana-1297	231	3	part	part	NOUN
cana-1297	231	4	follows	follow	VERB
cana-1297	231	5	easily	easily	ADV
cana-1297	231	6	.	.	PUNCT
cana-1297	232	1	proposition	proposition	NOUN
cana-1297	232	2	3.6	3.6	NUM
cana-1297	232	3	:	:	PUNCT
cana-1297	232	4	let	let	VERB
cana-1297	232	5	n	n	PRON
cana-1297	232	6	be	be	AUX
cana-1297	232	7	a	a	DET
cana-1297	232	8	tгs	tгs	NOUN
cana-1297	232	9	-	-	PUNCT
cana-1297	232	10	s	s	PROPN
cana-1297	232	11	&	&	CCONJ
cana-1297	232	12	{	{	PUNCT
cana-1297	232	13	0}.n	0}.n	PROPN
cana-1297	232	14			NOUN
cana-1297	232	15	subsequently	subsequently	ADV
cana-1297	232	16	n	n	ADV
cana-1297	232	17	is	be	AUX
cana-1297	232	18	semi	semi	ADJ
cana-1297	232	19	-	-	ADJ
cana-1297	232	20	irreducible	irreducible	ADJ
cana-1297	232	21	iff	iff	NOUN
cana-1297	232	22	for	for	ADP
cana-1297	232	23	every	every	DET
cana-1297	232	24	nonzero	nonzero	NOUN
cana-1297	232	25	,	,	PUNCT
cana-1297	232	26	n	n	CCONJ
cana-1297	232	27	n	n	CCONJ
cana-1297	233	1	n	n	PROPN
cana-1297	233	2	s	s	NOUN
cana-1297	233	3	s	s	NOUN
cana-1297	233	4	n	n	PROPN
cana-1297	233	5			VERB
cana-1297	233	6			VERB
cana-1297	233	7	=	=	NOUN
cana-1297	233	8	i.e.	i.e.	X
cana-1297	233	9	for	for	ADP
cana-1297	233	10	any	any	PRON
cana-1297	233	11	,	,	PUNCT
cana-1297	233	12	,	,	PUNCT
cana-1297	233	13	,	,	PUNCT
cana-1297	233	14	(	(	PUNCT
cana-1297	233	15	1,2,3,4	1,2,3,4	NUM
cana-1297	233	16	...	...	PUNCT
cana-1297	233	17	&	&	CCONJ
cana-1297	233	18	1,2,3,4	1,2,3,4	NUM
cana-1297	233	19	....	....	PUNCT
cana-1297	233	20	,	,	PUNCT
cana-1297	233	21	,	,	PUNCT
cana-1297	233	22	)	)	PUNCT
cana-1297	234	1	i	i	PRON
cana-1297	234	2	i	i	PRON
cana-1297	235	1	i	i	VERB
cana-1297	235	2	ik	ik	X
cana-1297	235	3	n	n	PROPN
cana-1297	235	4	k	k	PROPN
cana-1297	235	5	l	l	PROPN
cana-1297	235	6	s	s	PROPN
cana-1297	235	7	j	j	PROPN
cana-1297	235	8	s	s	X
cana-1297	236	1	i	i	NOUN
cana-1297	237	1	r	r	NOUN
cana-1297	237	2	s	s	NOUN
cana-1297	237	3	r	r	NOUN
cana-1297	237	4	z	z	NOUN
cana-1297	237	5			NOUN
cana-1297	237	6	+	+	NOUN
cana-1297	237	7			NOUN
cana-1297	237	8			NUM
cana-1297	237	9			NOUN
cana-1297	237	10			NOUN
cana-1297	237	11	=	=	SYM
cana-1297	237	12	=	=	SYM
cana-1297	237	13			NOUN
cana-1297	238	1	i	i	PRON
cana-1297	238	2	i	i	PRON
cana-1297	239	1	i	i	PRON
cana-1297	240	1	i	i	PRON
cana-1297	240	2	j	j	PROPN
cana-1297	241	1	j	j	PROPN
cana-1297	242	1	j	j	PROPN
cana-1297	242	2	j	j	PROPN
cana-1297	243	1	i	i	PRON
cana-1297	243	2	j	j	PROPN
cana-1297	244	1	k	k	PROPN
cana-1297	244	2	n	n	PROPN
cana-1297	244	3	f	f	PROPN
cana-1297	244	4	g	g	PROPN
cana-1297	244	5	n	n	PRON
cana-1297	244	6	h	h	NOUN
cana-1297	244	7	i	i	VERB
cana-1297	244	8			PROPN
cana-1297	244	9			X
cana-1297	244	10			NOUN
cana-1297	244	11	+	+	CCONJ
cana-1297	245	1	=	=	NOUN
cana-1297	245	2			X
cana-1297	245	3			X
cana-1297	245	4	proof	proof	NOUN
cana-1297	245	5	:	:	PUNCT
cana-1297	245	6	let	let	VERB
cana-1297	245	7	0n	0n	NUM
cana-1297	245	8			NOUN
cana-1297	245	9	be	be	AUX
cana-1297	245	10	semi	semi	ADJ
cana-1297	245	11	-	-	ADJ
cana-1297	245	12	irreducible	irreducible	ADJ
cana-1297	245	13	.	.	PUNCT
cana-1297	246	1	then	then	ADV
cana-1297	246	2	{	{	PUNCT
cana-1297	246	3	0}.n	0}.n	PRON
cana-1297	246	4	s	s	PROPN
cana-1297	246	5	s	s	PROPN
cana-1297	246	6			PROPN
cana-1297	246	7			NOUN
cana-1297	246	8	let	let	VERB
cana-1297	246	9	0.n	0.n	NOUN
cana-1297	246	10	n	n	PRON
cana-1297	246	11	n	n	VERB
cana-1297	246	12			PROPN
cana-1297	246	13			NOUN
cana-1297	246	14	hence	hence	ADV
cana-1297	246	15	by	by	ADP
cana-1297	246	16	proposition	proposition	NOUN
cana-1297	246	17	3.5	3.5	NUM
cana-1297	246	18	,	,	PUNCT
cana-1297	246	19	{	{	PUNCT
cana-1297	246	20	0};n	0};n	PROPN
cana-1297	246	21	s	s	PART
cana-1297	246	22	s	s	PROPN
cana-1297	246	23			PROPN
cana-1297	246	24			PROPN
cana-1297	246	25	so	so	ADV
cana-1297	246	26	{	{	PUNCT
cana-1297	246	27	0}.n	0}.n	NUM
cana-1297	246	28	s	s	PROPN
cana-1297	246	29	s	s	PROPN
cana-1297	246	30			PROPN
cana-1297	246	31			PROPN
cana-1297	246	32	since	since	SCONJ
cana-1297	246	33	n	n	PROPN
cana-1297	246	34	s	s	PROPN
cana-1297	246	35	s	s	PROPN
cana-1297	246	36			VERB
cana-1297	246	37	is	be	AUX
cana-1297	246	38	a	a	DET
cana-1297	246	39	ternary	ternary	ADJ
cana-1297	246	40	k	k	PROPN
cana-1297	246	41	s	s	PROPN
cana-1297	246	42	-subsemimodule	-subsemimodule	NOUN
cana-1297	246	43	of	of	ADP
cana-1297	246	44	n	n	CCONJ
cana-1297	246	45	,	,	PUNCT
cana-1297	247	1	.n	.n	PROPN
cana-1297	247	2	s	s	PART
cana-1297	247	3	s	s	X
cana-1297	247	4	n	n	PROPN
cana-1297	247	5			NOUN
cana-1297	247	6			NOUN
cana-1297	247	7	hence	hence	ADV
cana-1297	247	8	for	for	ADP
cana-1297	247	9	any	any	DET
cana-1297	247	10	{	{	PUNCT
cana-1297	247	11	0}.n	0}.n	NUM
cana-1297	247	12	s	s	PROPN
cana-1297	247	13	s	s	PROPN
cana-1297	247	14			PROPN
cana-1297	247	15			NOUN
cana-1297	247	16	hence	hence	ADV
cana-1297	247	17	for	for	ADP
cana-1297	247	18	any	any	PRON
cana-1297	247	19	,	,	PUNCT
cana-1297	247	20	,	,	PUNCT
cana-1297	247	21	,	,	PUNCT
cana-1297	247	22	(	(	PUNCT
cana-1297	247	23	1,2,3,4	1,2,3,4	NUM
cana-1297	247	24	...	...	PUNCT
cana-1297	247	25	&	&	CCONJ
cana-1297	247	26	1,2,3,4	1,2,3,4	NUM
cana-1297	247	27	....	....	PUNCT
cana-1297	247	28	,	,	PUNCT
cana-1297	247	29	,	,	PUNCT
cana-1297	247	30	)	)	PUNCT
cana-1297	248	1	i	i	PRON
cana-1297	248	2	i	i	PRON
cana-1297	249	1	i	i	VERB
cana-1297	249	2	ik	ik	X
cana-1297	249	3	n	n	PROPN
cana-1297	249	4	k	k	PROPN
cana-1297	249	5	l	l	PROPN
cana-1297	249	6	s	s	PROPN
cana-1297	249	7	j	j	PROPN
cana-1297	249	8	s	s	X
cana-1297	250	1	i	i	NOUN
cana-1297	251	1	r	r	NOUN
cana-1297	251	2	s	s	NOUN
cana-1297	251	3	r	r	NOUN
cana-1297	251	4	z	z	NOUN
cana-1297	251	5			NOUN
cana-1297	251	6	+	+	NOUN
cana-1297	251	7			NOUN
cana-1297	251	8			NUM
cana-1297	251	9			NOUN
cana-1297	251	10			NOUN
cana-1297	251	11	=	=	SYM
cana-1297	251	12	=	=	SYM
cana-1297	251	13			NOUN
cana-1297	251	14	such	such	ADJ
cana-1297	251	15	that	that	SCONJ
cana-1297	251	16	i	i	PRON
cana-1297	251	17	i	i	PRON
cana-1297	252	1	i	i	PRON
cana-1297	253	1	i	i	PRON
cana-1297	253	2	j	j	PROPN
cana-1297	254	1	j	j	PROPN
cana-1297	255	1	j	j	PROPN
cana-1297	255	2	j	j	PROPN
cana-1297	256	1	i	i	PRON
cana-1297	256	2	j	j	PROPN
cana-1297	257	1	k	k	PROPN
cana-1297	257	2	n	n	PROPN
cana-1297	257	3	f	f	PROPN
cana-1297	257	4	g	g	PROPN
cana-1297	257	5	n	n	PRON
cana-1297	257	6	h	h	NOUN
cana-1297	257	7	i	i	VERB
cana-1297	257	8			PROPN
cana-1297	257	9			ADJ
cana-1297	257	10	+	+	NUM
cana-1297	257	11	=	=	NOUN
cana-1297	257	12			X
cana-1297	257	13			X
cana-1297	257	14	in	in	ADP
cana-1297	257	15	opposition	opposition	NOUN
cana-1297	257	16	,	,	PUNCT
cana-1297	257	17	assume	assume	VERB
cana-1297	257	18	for	for	ADP
cana-1297	257	19	any	any	DET
cana-1297	257	20	(	(	PUNCT
cana-1297	257	21	0	0	NUM
cana-1297	257	22	)	)	PUNCT
cana-1297	257	23	,	,	PUNCT
cana-1297	257	24	.n	.n	PROPN
cana-1297	257	25	n	n	CCONJ
cana-1297	257	26	n	n	PROPN
cana-1297	257	27	s	s	NOUN
cana-1297	257	28	s	s	PROPN
cana-1297	257	29	n	n	PROPN
cana-1297	257	30			NOUN
cana-1297	257	31			VERB
cana-1297	257	32			VERB
cana-1297	257	33	=	=	PRON
cana-1297	257	34	let	let	VERB
cana-1297	257	35	{	{	PUNCT
cana-1297	257	36	0	0	NUM
cana-1297	257	37	}	}	PUNCT
cana-1297	257	38			NOUN
cana-1297	257	39			NOUN
cana-1297	257	40	is	be	AUX
cana-1297	257	41	ternary	ternary	ADJ
cana-1297	257	42	k	k	PROPN
cana-1297	257	43	s	s	PROPN
cana-1297	257	44	-subsemimodule	-subsemimodule	NOUN
cana-1297	257	45	of	of	ADP
cana-1297	257	46	n.	n.	NOUN
cana-1297	257	47	0.m	0.m	NUM
cana-1297	257	48	m	m	VERB
cana-1297	257	49	n	n	ADJ
cana-1297	257	50			NOUN
cana-1297	257	51			PROPN
cana-1297	258	1			NOUN
cana-1297	258	2	so	so	ADV
cana-1297	258	3	,	,	PUNCT
cana-1297	258	4	by	by	ADP
cana-1297	258	5	the	the	DET
cana-1297	258	6	given	give	VERB
cana-1297	258	7	condition	condition	NOUN
cana-1297	258	8	.n	.n	PROPN
cana-1297	259	1	s	s	PART
cana-1297	260	1	s	s	X
cana-1297	260	2	n	n	PROPN
cana-1297	260	3			VERB
cana-1297	260	4	=	=	NOUN
cana-1297	260	5	hence	hence	ADV
cana-1297	260	6	for	for	ADP
cana-1297	260	7	any	any	PRON
cana-1297	260	8	for	for	ADP
cana-1297	260	9	any	any	PRON
cana-1297	260	10	,	,	PUNCT
cana-1297	260	11	,	,	PUNCT
cana-1297	260	12	,	,	PUNCT
cana-1297	260	13	,	,	PUNCT
cana-1297	260	14	,	,	PUNCT
cana-1297	260	15	(	(	PUNCT
cana-1297	260	16	1,2,3	1,2,3	NUM
cana-1297	260	17	,	,	PUNCT
cana-1297	260	18	....	....	PUNCT
cana-1297	260	19	&	&	CCONJ
cana-1297	260	20	1,2,3	1,2,3	NUM
cana-1297	260	21	,	,	PUNCT
cana-1297	260	22	...	...	PUNCT
cana-1297	260	23	,	,	PUNCT
cana-1297	260	24	,	,	PUNCT
cana-1297	260	25	)	)	PUNCT
cana-1297	261	1	i	i	PRON
cana-1297	261	2	i	i	PRON
cana-1297	262	1	j	j	PROPN
cana-1297	263	1	j	j	PROPN
cana-1297	263	2	i	i	PRON
cana-1297	263	3	ik	ik	PROPN
cana-1297	264	1	n	n	PROPN
cana-1297	264	2	f	f	PROPN
cana-1297	264	3	g	g	PROPN
cana-1297	265	1	h	h	NOUN
cana-1297	266	1	i	i	PRON
cana-1297	266	2	s	s	VERB
cana-1297	267	1	i	i	NOUN
cana-1297	267	2	r	r	NOUN
cana-1297	267	3	j	j	PROPN
cana-1297	267	4	s	s	PART
cana-1297	267	5	r	r	NOUN
cana-1297	267	6	s	s	X
cana-1297	267	7	z	z	ADJ
cana-1297	267	8			NOUN
cana-1297	267	9	+	+	NOUN
cana-1297	267	10			NOUN
cana-1297	267	11			NUM
cana-1297	267	12			NOUN
cana-1297	267	13			NOUN
cana-1297	267	14	=	=	SYM
cana-1297	267	15	=	=	SYM
cana-1297	267	16			NOUN
cana-1297	267	17	such	such	ADJ
cana-1297	267	18	that	that	SCONJ
cana-1297	267	19	i	i	PRON
cana-1297	268	1	i	i	PRON
cana-1297	269	1	i	i	PRON
cana-1297	270	1	i	i	PRON
cana-1297	270	2	j	j	PROPN
cana-1297	271	1	j	j	PROPN
cana-1297	272	1	j	j	PROPN
cana-1297	272	2	j	j	PROPN
cana-1297	273	1	i	i	PRON
cana-1297	273	2	j	j	PROPN
cana-1297	274	1	k	k	PROPN
cana-1297	274	2	n	n	PROPN
cana-1297	274	3	f	f	PROPN
cana-1297	274	4	g	g	PROPN
cana-1297	274	5	n	n	PRON
cana-1297	274	6	h	h	NOUN
cana-1297	274	7	i	i	VERB
cana-1297	274	8			PROPN
cana-1297	274	9			ADJ
cana-1297	274	10	+	+	NUM
cana-1297	274	11	=	=	NOUN
cana-1297	274	12			X
cana-1297	274	13			X
cana-1297	274	14	.	.	PUNCT
cana-1297	275	1	since	since	SCONJ
cana-1297	275	2	m	m	PROPN
cana-1297	275	3	is	be	AUX
cana-1297	275	4	a	a	DET
cana-1297	275	5	k	k	PROPN
cana-1297	275	6	s	s	PROPN
cana-1297	275	7	-subsemimodule	-subsemimodule	NOUN
cana-1297	275	8	of	of	ADP
cana-1297	275	9	n	n	PROPN
cana-1297	275	10	&	&	CCONJ
cana-1297	275	11	,	,	PUNCT
cana-1297	275	12	,	,	PUNCT
cana-1297	275	13	.i	.i	PROPN
cana-1297	276	1	i	i	PRON
cana-1297	276	2	i	i	PRON
cana-1297	277	1	i	i	PRON
cana-1297	277	2	j	j	PROPN
cana-1297	278	1	j	j	PROPN
cana-1297	279	1	j	j	PROPN
cana-1297	279	2	j	j	PROPN
cana-1297	280	1	i	i	PRON
cana-1297	280	2	j	j	PROPN
cana-1297	281	1	n	n	CCONJ
cana-1297	281	2	f	f	PROPN
cana-1297	281	3	g	g	PROPN
cana-1297	282	1	n	n	PRON
cana-1297	282	2	h	h	NOUN
cana-1297	283	1	i	i	PRON
cana-1297	283	2	m	m	VERB
cana-1297	283	3	k	k	VERB
cana-1297	283	4	n	n	PROPN
cana-1297	283	5			PROPN
cana-1297	283	6			ADJ
cana-1297	283	7			NOUN
cana-1297	283	8			NOUN
cana-1297	283	9			NOUN
cana-1297	283	10			X
cana-1297	283	11	hence	hence	ADV
cana-1297	283	12	m	m	PROPN
cana-1297	283	13	=	=	PROPN
cana-1297	283	14	n.	n.	ADJ
cana-1297	283	15	now	now	ADV
cana-1297	283	16	if	if	SCONJ
cana-1297	283	17	{	{	PUNCT
cana-1297	283	18	0}n	0}n	PROPN
cana-1297	283	19	s	s	PART
cana-1297	283	20	s	s	PROPN
cana-1297	283	21			VERB
cana-1297	283	22	=	=	PUNCT
cana-1297	283	23	then	then	ADV
cana-1297	283	24	{	{	PUNCT
cana-1297	283	25	0	0	NUM
cana-1297	283	26	}	}	PUNCT
cana-1297	283	27	.n	.n	PROPN
cana-1297	284	1	s	s	PART
cana-1297	284	2	s	s	VERB
cana-1297	284	3	n	n	PRON
cana-1297	284	4	n	n	PROPN
cana-1297	284	5			VERB
cana-1297	284	6	=	=	NOUN
cana-1297	284	7			VERB
cana-1297	284	8			NOUN
cana-1297	284	9	in	in	ADP
cana-1297	284	10	particular	particular	ADJ
cana-1297	284	11	,	,	PUNCT
cana-1297	284	12	{	{	PUNCT
cana-1297	284	13	0}n	0}n	PROPN
cana-1297	284	14	s	s	PART
cana-1297	284	15	s	s	PROPN
cana-1297	284	16			VERB
cana-1297	284	17	=	=	PROPN
cana-1297	284	18	for	for	ADP
cana-1297	284	19	any	any	DET
cana-1297	284	20	nonzero	nonzero	NOUN
cana-1297	284	21	.n	.n	PROPN
cana-1297	284	22	n	n	PROPN
cana-1297	284	23	hence	hence	ADV
cana-1297	284	24	{	{	PUNCT
cana-1297	284	25	0}n	0}n	PROPN
cana-1297	284	26	s	s	PART
cana-1297	284	27	s	s	PROPN
cana-1297	284	28			VERB
cana-1297	284	29	=	=	NOUN
cana-1297	284	30	for	for	ADP
cana-1297	284	31	any	any	DET
cana-1297	284	32	(	(	PUNCT
cana-1297	284	33	0	0	NUM
cana-1297	284	34	)	)	PUNCT
cana-1297	285	1	.n	.n	PROPN
cana-1297	285	2	n	n	PROPN
cana-1297	285	3			NOUN
cana-1297	285	4			NOUN
cana-1297	285	5	n=0a	n=0a	PROPN
cana-1297	285	6	disagreement	disagreement	NOUN
cana-1297	285	7	.	.	PUNCT
cana-1297	286	1	consequently	consequently	ADV
cana-1297	286	2	n	n	PROPN
cana-1297	286	3	is	be	AUX
cana-1297	286	4	‘	'	PUNCT
cana-1297	286	5	semi	semi	ADJ
cana-1297	286	6	-	-	ADJ
cana-1297	286	7	irreducible	irreducible	ADJ
cana-1297	286	8	’	'	PUNCT
cana-1297	286	9	.	.	PUNCT
cana-1297	287	1	corollary	corollary	NOUN
cana-1297	287	2	3.07	3.07	NUM
cana-1297	287	3	:	:	PUNCT
cana-1297	287	4	if	if	SCONJ
cana-1297	287	5	a	a	DET
cana-1297	287	6	tг	tг	NOUN
cana-1297	287	7	-	-	PUNCT
cana-1297	287	8	s	s	NOUN
cana-1297	287	9	n	n	NOUN
cana-1297	287	10	is	be	AUX
cana-1297	287	11	‘	'	PUNCT
cana-1297	287	12	irreducible	irreducible	ADJ
cana-1297	287	13	’	'	PUNCT
cana-1297	287	14	,	,	PUNCT
cana-1297	287	15	subsequently	subsequently	ADV
cana-1297	287	16	n	n	PROPN
cana-1297	287	17	s	s	PROPN
cana-1297	287	18	s	s	X
cana-1297	288	1	n	n	PROPN
cana-1297	288	2			NOUN
cana-1297	288	3	=	=	PROPN
cana-1297	288	4	&	&	CCONJ
cana-1297	288	5	semi	semi	ADJ
cana-1297	288	6	-	-	ADJ
cana-1297	288	7	irreducible	irreducible	ADJ
cana-1297	288	8	.	.	PUNCT
cana-1297	289	1	proof	proof	NOUN
cana-1297	289	2	:	:	PUNCT
cana-1297	289	3	let	let	VERB
cana-1297	289	4	n	n	PRON
cana-1297	289	5	be	be	AUX
cana-1297	289	6	an	an	DET
cana-1297	289	7	itг	itг	NOUN
cana-1297	289	8	-	-	PUNCT
cana-1297	289	9	s.	s.	PROPN
cana-1297	289	10	{	{	PUNCT
cana-1297	289	11	0}n	0}n	PROPN
cana-1297	289	12			PROPN
cana-1297	289	13	.	.	PUNCT
cana-1297	290	1	(	(	PUNCT
cana-1297	290	2	0	0	X
cana-1297	290	3	)	)	PUNCT
cana-1297	290	4	.n	.n	PROPN
cana-1297	290	5	n	n	PROPN
cana-1297	290	6			NOUN
cana-1297	290	7			NOUN
cana-1297	290	8	any	any	PRON
cana-1297	290	9	,	,	PUNCT
cana-1297	290	10	,	,	PUNCT
cana-1297	290	11	,	,	PUNCT
cana-1297	290	12	,	,	PUNCT
cana-1297	290	13	,	,	PUNCT
cana-1297	290	14	(	(	PUNCT
cana-1297	290	15	1,2,3	1,2,3	NUM
cana-1297	290	16	,	,	PUNCT
cana-1297	290	17	...	...	PUNCT
cana-1297	290	18	&	&	CCONJ
cana-1297	290	19	1,2,3	1,2,3	NUM
cana-1297	290	20	,	,	PUNCT
cana-1297	290	21	....	....	PUNCT
cana-1297	290	22	,	,	PUNCT
cana-1297	290	23	,	,	PUNCT
cana-1297	290	24	)	)	PUNCT
cana-1297	291	1	i	i	PRON
cana-1297	291	2	i	i	PRON
cana-1297	292	1	j	j	PROPN
cana-1297	293	1	j	j	PROPN
cana-1297	293	2	i	i	PRON
cana-1297	293	3	ik	ik	PROPN
cana-1297	294	1	n	n	PROPN
cana-1297	294	2	f	f	PROPN
cana-1297	294	3	g	g	PROPN
cana-1297	295	1	h	h	NOUN
cana-1297	296	1	i	i	PRON
cana-1297	296	2	s	s	VERB
cana-1297	296	3	j	j	PROPN
cana-1297	296	4	s	s	X
cana-1297	297	1	i	i	NOUN
cana-1297	297	2	r	r	NOUN
cana-1297	297	3	s	s	NOUN
cana-1297	297	4	r	r	NOUN
cana-1297	297	5	z	z	NOUN
cana-1297	297	6			NOUN
cana-1297	297	7	+	+	NOUN
cana-1297	297	8			NOUN
cana-1297	297	9			NUM
cana-1297	297	10			NOUN
cana-1297	297	11			NOUN
cana-1297	297	12	=	=	SYM
cana-1297	297	13	=	=	SYM
cana-1297	297	14			NOUN
cana-1297	297	15	.i	.i	NOUN
cana-1297	298	1	i	i	PRON
cana-1297	298	2	i	i	PRON
cana-1297	299	1	i	i	VERB
cana-1297	299	2	j	j	PROPN
cana-1297	300	1	j	j	PROPN
cana-1297	301	1	j	j	PROPN
cana-1297	301	2	j	j	PROPN
cana-1297	302	1	i	i	PRON
cana-1297	302	2	j	j	PROPN
cana-1297	303	1	k	k	PROPN
cana-1297	303	2	n	n	PROPN
cana-1297	303	3	f	f	PROPN
cana-1297	303	4	g	g	PROPN
cana-1297	303	5	n	n	PRON
cana-1297	303	6	h	h	NOUN
cana-1297	303	7	i	i	VERB
cana-1297	303	8			PROPN
cana-1297	303	9			X
cana-1297	303	10			NOUN
cana-1297	303	11	+	+	CCONJ
cana-1297	304	1	=	=	NOUN
cana-1297	304	2			X
cana-1297	304	3			X
cana-1297	304	4	n	n	AUX
cana-1297	304	5	is	be	AUX
cana-1297	304	6	semi	semi	ADJ
cana-1297	304	7	-	-	ADJ
cana-1297	304	8	irreducible	irreducible	ADJ
cana-1297	304	9	tг	tг	NOUN
cana-1297	304	10	-	-	PUNCT
cana-1297	304	11	semimodule	semimodule	NOUN
cana-1297	304	12	,	,	PUNCT
cana-1297	304	13	by	by	ADP
cana-1297	304	14	proposition	proposition	NOUN
cana-1297	304	15	(	(	PUNCT
cana-1297	304	16	3.6	3.6	NUM
cana-1297	304	17	)	)	PUNCT
cana-1297	304	18	,	,	PUNCT
cana-1297	304	19	communications	communication	NOUN
cana-1297	304	20	on	on	ADP
cana-1297	304	21	applied	apply	VERB
cana-1297	304	22	nonlinear	nonlinear	ADJ
cana-1297	304	23	analysis	analysis	NOUN
cana-1297	304	24	issn	issn	NOUN
cana-1297	304	25	:	:	PUNCT
cana-1297	304	26	1074	1074	NUM
cana-1297	304	27	-	-	PUNCT
cana-1297	304	28	133x	133x	NUM
cana-1297	304	29	vol	vol	NOUN
cana-1297	304	30	31	31	NUM
cana-1297	304	31	no	no	NOUN
cana-1297	304	32	.	.	PUNCT
cana-1297	305	1	7s	7	NOUN
cana-1297	305	2	(	(	PUNCT
cana-1297	305	3	2024	2024	NUM
cana-1297	305	4	)	)	PUNCT
cana-1297	305	5	226	226	NUM
cana-1297	305	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1297	305	7	subsequently	subsequently	ADV
cana-1297	305	8	{	{	PUNCT
cana-1297	305	9	0	0	NUM
cana-1297	305	10	}	}	PUNCT
cana-1297	305	11	{	{	PUNCT
cana-1297	305	12	0}.n	0}.n	NUM
cana-1297	305	13	s	s	PROPN
cana-1297	305	14	s	s	X
cana-1297	305	15	n	n	PRON
cana-1297	305	16	s	s	NOUN
cana-1297	305	17	s	s	PROPN
cana-1297	305	18			PROPN
cana-1297	305	19			PROPN
cana-1297	305	20			NOUN
cana-1297	305	21			VERB
cana-1297	305	22			VERB
cana-1297	305	23	=	=	NOUN
cana-1297	305	24	since	since	SCONJ
cana-1297	305	25	n	n	PROPN
cana-1297	305	26	s	s	PROPN
cana-1297	305	27	s	s	PROPN
cana-1297	305	28			VERB
cana-1297	305	29	is	be	AUX
cana-1297	305	30	a	a	DET
cana-1297	305	31	ternary	ternary	ADJ
cana-1297	305	32	k	k	PROPN
cana-1297	305	33	s	s	PROPN
cana-1297	305	34	-subsemimodule	-subsemimodule	NOUN
cana-1297	305	35	of	of	ADP
cana-1297	305	36	n	n	CCONJ
cana-1297	305	37	,	,	PUNCT
cana-1297	306	1	.n	.n	PROPN
cana-1297	306	2	s	s	PART
cana-1297	306	3	s	s	X
cana-1297	306	4	n	n	PROPN
cana-1297	306	5			VERB
cana-1297	306	6	=	=	NOUN
cana-1297	306	7	proposition	proposition	NOUN
cana-1297	306	8	3.08	3.08	NUM
cana-1297	306	9	:	:	PUNCT
cana-1297	306	10	in	in	ADP
cana-1297	306	11	a	a	DET
cana-1297	306	12	tг	tг	PROPN
cana-1297	306	13	-	-	PUNCT
cana-1297	306	14	s	s	X
cana-1297	306	15	‘s	‘s	NOUN
cana-1297	306	16	’	'	PUNCT
cana-1297	306	17	,	,	PUNCT
cana-1297	306	18	r	r	NOUN
cana-1297	306	19	exist	exist	VERB
cana-1297	306	20	its	its	PRON
cana-1297	306	21	ros	ro	NOUN
cana-1297	306	22	.	.	PUNCT
cana-1297	307	1	next	next	ADJ
cana-1297	307	2	n	n	NUM
cana-1297	307	3	is	be	AUX
cana-1297	307	4	an	an	DET
cana-1297	307	5	itгs	itгs	NOUN
cana-1297	307	6	-	-	PUNCT
cana-1297	307	7	s	s	PART
cana-1297	307	8	iff	iff	NOUN
cana-1297	307	9	n	n	PART
cana-1297	307	10	is	be	AUX
cana-1297	307	11	an	an	DET
cana-1297	307	12	ir	ir	PROPN
cana-1297	307	13	-	-	PUNCT
cana-1297	307	14	s.	s.	PROPN
cana-1297	307	15	proof	proof	NOUN
cana-1297	307	16	:	:	PUNCT
cana-1297	307	17	let	let	VERB
cana-1297	307	18	n	n	PRON
cana-1297	307	19	be	be	AUX
cana-1297	307	20	an	an	DET
cana-1297	307	21	itгs	itгs	NOUN
cana-1297	307	22	-	-	PUNCT
cana-1297	307	23	s.	s.	PROPN
cana-1297	307	24	characterize	characterize	VERB
cana-1297	307	25	r	r	NOUN
cana-1297	307	26	-	-	PUNCT
cana-1297	307	27	action	action	NOUN
cana-1297	307	28	on	on	ADP
cana-1297	307	29	m	m	NOUN
cana-1297	307	30	as	as	SCONJ
cana-1297	307	31	go	go	VERB
cana-1297	307	32	behind	behind	ADV
cana-1297	307	33	:	:	PUNCT
cana-1297	307	34	meant	mean	VERB
cana-1297	307	35	for	for	ADP
cana-1297	307	36	,	,	PUNCT
cana-1297	307	37	,	,	PUNCT
cana-1297	307	38	[	[	PUNCT
cana-1297	307	39	,	,	PUNCT
cana-1297	307	40	]	]	PUNCT
cana-1297	307	41	,	,	PUNCT
cana-1297	307	42	,	,	PUNCT
cana-1297	307	43	[	[	PUNCT
cana-1297	307	44	,	,	PUNCT
cana-1297	307	45	]	]	PUNCT
cana-1297	307	46	.i	.i	PUNCT
cana-1297	308	1	i	i	PRON
cana-1297	308	2	i	i	PRON
cana-1297	309	1	i	i	PRON
cana-1297	309	2	i	i	PRON
cana-1297	310	1	i	i	PRON
cana-1297	310	2	i	i	PRON
cana-1297	311	1	i	i	PRON
cana-1297	311	2	i	i	PRON
cana-1297	312	1	i	i	PRON
cana-1297	312	2	f	f	VERB
cana-1297	312	3	g	g	PROPN
cana-1297	312	4	n	n	CCONJ
cana-1297	312	5	k	k	NOUN
cana-1297	313	1	r	r	NOUN
cana-1297	313	2	f	f	PROPN
cana-1297	314	1	g	g	PROPN
cana-1297	314	2	k	k	PROPN
cana-1297	314	3	f	f	PROPN
cana-1297	314	4	g	g	PROPN
cana-1297	314	5	k	k	PROPN
cana-1297	314	6			NOUN
cana-1297	314	7			PROPN
cana-1297	314	8			PROPN
cana-1297	314	9			NOUN
cana-1297	314	10	=	=	PRON
cana-1297	314	11			X
cana-1297	314	12			X
cana-1297	314	13			X
cana-1297	314	14	if	if	SCONJ
cana-1297	314	15	[	[	PUNCT
cana-1297	314	16	,	,	PUNCT
cana-1297	314	17	]	]	X
cana-1297	314	18	[	[	PUNCT
cana-1297	314	19	,	,	PUNCT
cana-1297	314	20	]	]	X
cana-1297	314	21	i	i	PRON
cana-1297	314	22	i	i	INTJ
cana-1297	315	1	j	j	PROPN
cana-1297	316	1	j	j	NOUN
cana-1297	317	1	i	i	PRON
cana-1297	317	2	j	j	PROPN
cana-1297	318	1	k	k	PROPN
cana-1297	318	2	l	l	PROPN
cana-1297	318	3	=	=	PRON
cana-1297	318	4			X
cana-1297	318	5	in	in	ADP
cana-1297	318	6	r	r	NOUN
cana-1297	318	7	then	then	ADV
cana-1297	318	8	,	,	PUNCT
cana-1297	318	9	.i	.i	PROPN
cana-1297	319	1	i	i	PRON
cana-1297	319	2	i	i	PRON
cana-1297	320	1	j	j	PROPN
cana-1297	321	1	j	j	PROPN
cana-1297	321	2	j	j	PROPN
cana-1297	322	1	i	i	PRON
cana-1297	322	2	j	j	PROPN
cana-1297	322	3	s	s	PROPN
cana-1297	323	1	t	t	PROPN
cana-1297	324	1	k	k	PROPN
cana-1297	324	2	s	s	PROPN
cana-1297	324	3	t	t	PROPN
cana-1297	324	4	k	k	PROPN
cana-1297	324	5	s	s	PROPN
cana-1297	324	6	t	t	PROPN
cana-1297	324	7	s	s	PROPN
cana-1297	324	8			ADJ
cana-1297	324	9			PROPN
cana-1297	324	10	=	=	NOUN
cana-1297	324	11			NOUN
cana-1297	324	12			NOUN
cana-1297	324	13			X
cana-1297	324	14	since	since	SCONJ
cana-1297	324	15	n	n	NUM
cana-1297	324	16	is	be	AUX
cana-1297	324	17	an	an	DET
cana-1297	324	18	irreducible	irreducible	ADJ
cana-1297	324	19	tгssemimodule	tгssemimodule	NOUN
cana-1297	324	20	,	,	PUNCT
cana-1297	324	21	.n	.n	PROPN
cana-1297	324	22	s	s	PART
cana-1297	324	23	s	s	X
cana-1297	324	24	n	n	PROPN
cana-1297	324	25			VERB
cana-1297	324	26	=	=	SYM
cana-1297	324	27	(	(	PUNCT
cana-1297	324	28	corollary	corollary	ADJ
cana-1297	324	29	3.7	3.7	NUM
cana-1297	324	30	)	)	PUNCT
cana-1297	324	31	.	.	PUNCT
cana-1297	325	1	then	then	ADV
cana-1297	325	2	for	for	ADP
cana-1297	325	3	,	,	PUNCT
cana-1297	325	4	,	,	PUNCT
cana-1297	325	5	,	,	PUNCT
cana-1297	325	6	,	,	PUNCT
cana-1297	325	7	,	,	PUNCT
cana-1297	325	8	,	,	PUNCT
cana-1297	325	9	,	,	PUNCT
cana-1297	325	10	(	(	PUNCT
cana-1297	325	11	1,2	1,2	NUM
cana-1297	325	12	,	,	PUNCT
cana-1297	325	13	...	...	PUNCT
cana-1297	325	14	&	&	CCONJ
cana-1297	325	15	1,2	1,2	NUM
cana-1297	325	16	,	,	PUNCT
cana-1297	325	17	....	....	PUNCT
cana-1297	325	18	;	;	PUNCT
cana-1297	325	19	,	,	PUNCT
cana-1297	325	20	)	)	PUNCT
cana-1297	325	21	k	k	PROPN
cana-1297	326	1	k	k	PROPN
cana-1297	326	2	t	t	PROPN
cana-1297	326	3	t	t	PROPN
cana-1297	326	4	k	k	PROPN
cana-1297	326	5	k	k	PROPN
cana-1297	326	6	k	k	PROPN
cana-1297	326	7	tn	tn	PROPN
cana-1297	327	1	n	n	PROPN
cana-1297	327	2	f	f	PROPN
cana-1297	327	3	g	g	PROPN
cana-1297	328	1	h	h	NOUN
cana-1297	328	2	i	i	PRON
cana-1297	329	1	n	n	PROPN
cana-1297	329	2	s	s	VERB
cana-1297	329	3	v	v	NOUN
cana-1297	329	4	s	s	X
cana-1297	329	5	t	t	NOUN
cana-1297	329	6	q	q	PROPN
cana-1297	330	1	k	k	X
cana-1297	330	2	p	p	X
cana-1297	330	3	q	q	X
cana-1297	330	4	p	p	X
cana-1297	330	5	z	z	X
cana-1297	330	6			PUNCT
cana-1297	330	7	+	+	ADJ
cana-1297	330	8			NOUN
cana-1297	330	9			NUM
cana-1297	330	10			NOUN
cana-1297	330	11			VERB
cana-1297	330	12			NOUN
cana-1297	330	13	=	=	SYM
cana-1297	330	14	=	=	SYM
cana-1297	330	15			NOUN
cana-1297	330	16	.k	.k	PUNCT
cana-1297	331	1	k	k	PROPN
cana-1297	332	1	k	k	PROPN
cana-1297	332	2	k	k	PROPN
cana-1297	332	3	k	k	PROPN
cana-1297	332	4	t	t	PROPN
cana-1297	332	5	t	t	PROPN
cana-1297	332	6	t	t	PROPN
cana-1297	332	7	t	t	PROPN
cana-1297	332	8	t	t	PROPN
cana-1297	332	9	k	k	PROPN
cana-1297	332	10	t	t	PROPN
cana-1297	332	11	n	n	PROPN
cana-1297	332	12	f	f	PROPN
cana-1297	332	13	g	g	PROPN
cana-1297	333	1	v	v	INTJ
cana-1297	334	1	h	h	NOUN
cana-1297	335	1	i	i	PRON
cana-1297	335	2	v	v	PROPN
cana-1297	335	3			PROPN
cana-1297	335	4			ADJ
cana-1297	335	5			NOUN
cana-1297	335	6	+	+	CCONJ
cana-1297	335	7	=	=	NOUN
cana-1297	335	8			X
cana-1297	335	9			X
cana-1297	335	10	so	so	ADV
cana-1297	335	11	,	,	PUNCT
cana-1297	335	12	,	,	PUNCT
cana-1297	335	13	,	,	PUNCT
cana-1297	335	14	,	,	PUNCT
cana-1297	335	15	,	,	PUNCT
cana-1297	335	16	,	,	PUNCT
cana-1297	335	17	,	,	PUNCT
cana-1297	335	18	.	.	PUNCT
cana-1297	336	1	(	(	PUNCT
cana-1297	336	2	1	1	NUM
cana-1297	336	3	)	)	PUNCT
cana-1297	336	4	.	.	PUNCT
cana-1297	337	1	(	(	PUNCT
cana-1297	337	2	2	2	NUM
cana-1297	337	3	)	)	PUNCT
cana-1297	337	4	.	.	PUNCT
cana-1297	338	1	i	i	PRON
cana-1297	338	2	i	i	PRON
cana-1297	339	1	i	i	PRON
cana-1297	340	1	i	i	VERB
cana-1297	340	2	k	k	PROPN
cana-1297	341	1	k	k	PROPN
cana-1297	342	1	k	k	PROPN
cana-1297	343	1	k	k	PROPN
cana-1297	343	2	k	k	PROPN
cana-1297	344	1	k	k	PROPN
cana-1297	345	1	i	i	PRON
cana-1297	346	1	i	i	PRON
cana-1297	347	1	i	i	PRON
cana-1297	347	2	t	t	X
cana-1297	348	1	t	t	NOUN
cana-1297	349	1	i	i	PRON
cana-1297	349	2	i	i	PRON
cana-1297	350	1	i	i	PRON
cana-1297	351	1	i	i	VERB
cana-1297	351	2	k	k	VERB
cana-1297	352	1	i	i	PRON
cana-1297	352	2	t	t	VERB
cana-1297	353	1	i	i	PRON
cana-1297	354	1	i	i	PRON
cana-1297	355	1	i	i	PRON
cana-1297	356	1	i	i	PRON
cana-1297	357	1	i	i	VERB
cana-1297	357	2	k	k	PROPN
cana-1297	358	1	k	k	PROPN
cana-1297	358	2	k	k	PROPN
cana-1297	359	1	k	k	PROPN
cana-1297	359	2	k	k	PROPN
cana-1297	360	1	k	k	PROPN
cana-1297	360	2	j	j	PROPN
cana-1297	360	3	j	j	PROPN
cana-1297	360	4	j	j	PROPN
cana-1297	360	5	t	t	PROPN
cana-1297	360	6	t	t	PROPN
cana-1297	360	7	t	t	PROPN
cana-1297	360	8	t	t	PROPN
cana-1297	360	9	t	t	PROPN
cana-1297	360	10	j	j	PROPN
cana-1297	361	1	j	j	PROPN
cana-1297	361	2	j	j	PROPN
cana-1297	362	1	i	i	PRON
cana-1297	362	2	k	k	PROPN
cana-1297	363	1	j	j	PROPN
cana-1297	363	2	t	t	PROPN
cana-1297	363	3	j	j	PROPN
cana-1297	364	1	j	j	PROPN
cana-1297	364	2	j	j	PROPN
cana-1297	365	1	j	j	PROPN
cana-1297	365	2	j	j	PROPN
cana-1297	366	1	k	k	PROPN
cana-1297	366	2	k	k	PROPN
cana-1297	367	1	k	k	PROPN
cana-1297	368	1	k	k	PROPN
cana-1297	369	1	k	k	PROPN
cana-1297	370	1	k	k	PROPN
cana-1297	371	1	j	j	PROPN
cana-1297	372	1	j	j	PROPN
cana-1297	372	2	j	j	PROPN
cana-1297	372	3	t	t	PROPN
cana-1297	372	4	t	t	PROPN
cana-1297	372	5	t	t	PROPN
cana-1297	372	6	t	t	PROPN
cana-1297	372	7	t	t	PROPN
cana-1297	372	8	j	j	PROPN
cana-1297	373	1	j	j	PROPN
cana-1297	373	2	j	j	PROPN
cana-1297	373	3	j	j	PROPN
cana-1297	373	4	k	k	PROPN
cana-1297	373	5	j	j	PROPN
cana-1297	373	6	t	t	PROPN
cana-1297	373	7	j	j	PROPN
cana-1297	373	8	n	n	CCONJ
cana-1297	373	9	k	k	PROPN
cana-1297	373	10	l	l	NOUN
cana-1297	374	1	f	f	PROPN
cana-1297	374	2	g	g	NOUN
cana-1297	374	3	s	s	PROPN
cana-1297	374	4	k	k	NOUN
cana-1297	374	5	l	l	NOUN
cana-1297	374	6	h	h	NOUN
cana-1297	375	1	k	k	PROPN
cana-1297	375	2	l	l	PROPN
cana-1297	376	1	n	n	CCONJ
cana-1297	376	2	k	k	X
cana-1297	376	3	l	l	NOUN
cana-1297	377	1	f	f	X
cana-1297	378	1	g	g	NOUN
cana-1297	378	2	s	s	PROPN
cana-1297	378	3	k	k	NOUN
cana-1297	378	4	l	l	NOUN
cana-1297	378	5	h	h	NOUN
cana-1297	379	1	i	i	PRON
cana-1297	379	2	v	v	VERB
cana-1297	379	3	k	k	PROPN
cana-1297	379	4	l	l	NOUN
cana-1297	380	1	again	again	ADV
cana-1297	380	2	n	n	ADV
cana-1297	380	3	o	o	NOUN
cana-1297	381	1	p	p	X
cana-1297	381	2	f	f	X
cana-1297	381	3	g	g	PROPN
cana-1297	381	4	s	s	PROPN
cana-1297	381	5	k	k	NOUN
cana-1297	381	6	l	l	NOUN
cana-1297	382	1	h	h	NOUN
cana-1297	383	1	i	i	PRON
cana-1297	383	2	v	v	VERB
cana-1297	383	3	k	k	X
cana-1297	383	4	l	l	NOUN
cana-1297	383	5			NOUN
cana-1297	383	6			NUM
cana-1297	383	7			NOUN
cana-1297	383	8			PROPN
cana-1297	383	9			PROPN
cana-1297	383	10			NUM
cana-1297	383	11			ADJ
cana-1297	383	12			NUM
cana-1297	383	13			VERB
cana-1297	383	14			NUM
cana-1297	383	15			NOUN
cana-1297	383	16			PROPN
cana-1297	383	17			PROPN
cana-1297	383	18			NUM
cana-1297	383	19			ADJ
cana-1297	383	20			PROPN
cana-1297	383	21			NOUN
cana-1297	383	22			NOUN
cana-1297	383	23			NUM
cana-1297	383	24			NOUN
cana-1297	383	25			PROPN
cana-1297	383	26			PROPN
cana-1297	383	27			NUM
cana-1297	383	28			ADJ
cana-1297	383	29			PROPN
cana-1297	383	30			PROPN
cana-1297	384	1	+	+	CCONJ
cana-1297	384	2	=	=	PUNCT
cana-1297	384	3			NOUN
cana-1297	384	4	+	+	NOUN
cana-1297	384	5	=	=	SYM
cana-1297	384	6			NOUN
cana-1297	384	7	+	+	NOUN
cana-1297	384	8	=	=	NOUN
cana-1297	384	9			X
cana-1297	384	10			X
cana-1297	384	11			X
cana-1297	384	12			X
cana-1297	384	13			X
cana-1297	384	14			X
cana-1297	384	15			X
cana-1297	384	16			X
cana-1297	384	17			X
cana-1297	384	18	from	from	ADP
cana-1297	384	19	(	(	PUNCT
cana-1297	384	20	1	1	NUM
cana-1297	384	21	)	)	PUNCT
cana-1297	384	22	and	and	CCONJ
cana-1297	384	23	(	(	PUNCT
cana-1297	384	24	2)n	2)n	NOUN
cana-1297	384	25	is	be	AUX
cana-1297	384	26	cancellative	cancellative	ADJ
cana-1297	384	27	.	.	PUNCT
cana-1297	385	1	.i	.i	NOUN
cana-1297	386	1	i	i	PRON
cana-1297	386	2	i	i	PRON
cana-1297	387	1	i	i	PRON
cana-1297	387	2	j	j	PROPN
cana-1297	388	1	j	j	PROPN
cana-1297	389	1	j	j	PROPN
cana-1297	389	2	j	j	PROPN
cana-1297	390	1	i	i	PRON
cana-1297	390	2	j	j	PROPN
cana-1297	390	3	n	n	CCONJ
cana-1297	390	4	k	k	PROPN
cana-1297	390	5	l	l	PROPN
cana-1297	390	6	n	n	CCONJ
cana-1297	390	7	o	o	X
cana-1297	390	8	p	p	NOUN
cana-1297	390	9			NUM
cana-1297	390	10			NOUN
cana-1297	390	11	=	=	VERB
cana-1297	390	12			X
cana-1297	390	13	accordingly	accordingly	ADV
cana-1297	390	14	the	the	DET
cana-1297	390	15	r	r	NOUN
cana-1297	390	16	-	-	PUNCT
cana-1297	390	17	action	action	NOUN
cana-1297	390	18	define	define	NOUN
cana-1297	390	19	on	on	ADP
cana-1297	390	20	n	n	X
cana-1297	390	21	is	be	AUX
cana-1297	390	22	well	well	ADV
cana-1297	390	23	defined	define	VERB
cana-1297	390	24	.	.	PUNCT
cana-1297	391	1	currently	currently	ADV
cana-1297	391	2	validate	validate	VERB
cana-1297	391	3	that	that	SCONJ
cana-1297	391	4	n	n	CCONJ
cana-1297	391	5	as	as	ADP
cana-1297	391	6	r	r	NOUN
cana-1297	391	7	-	-	PUNCT
cana-1297	391	8	semimodule	semimodule	NOUN
cana-1297	391	9	.	.	PUNCT
cana-1297	392	1	let	let	VERB
cana-1297	392	2	,	,	PUNCT
cana-1297	392	3	,	,	PUNCT
cana-1297	392	4	.u	.u	PROPN
cana-1297	392	5	v	v	PART
cana-1297	392	6	n	n	CCONJ
cana-1297	392	7	u	u	NOUN
cana-1297	392	8	v	v	PROPN
cana-1297	392	9			NOUN
cana-1297	392	10	,	,	PUNCT
cana-1297	392	11	,	,	PUNCT
cana-1297	392	12	,	,	PUNCT
cana-1297	392	13	,	,	PUNCT
cana-1297	392	14	,	,	PUNCT
cana-1297	392	15	i	i	PRON
cana-1297	393	1	i	i	PRON
cana-1297	394	1	j	j	VERB
cana-1297	395	1	j	j	INTJ
cana-1297	396	1	i	i	PRON
cana-1297	396	2	i	i	PRON
cana-1297	397	1	i	i	PRON
cana-1297	397	2	i	i	PRON
cana-1297	398	1	i	i	PRON
cana-1297	399	1	i	i	PRON
cana-1297	399	2	j	j	PROPN
cana-1297	400	1	j	j	PROPN
cana-1297	400	2	j	j	PROPN
cana-1297	401	1	j	j	PROPN
cana-1297	401	2	j	j	PROPN
cana-1297	402	1	j	j	PROPN
cana-1297	403	1	j	j	PROPN
cana-1297	403	2	j	j	PROPN
cana-1297	404	1	i	i	PRON
cana-1297	404	2	i	i	PRON
cana-1297	405	1	i	i	PRON
cana-1297	405	2	i	i	PRON
cana-1297	406	1	i	i	PRON
cana-1297	406	2	j	j	PROPN
cana-1297	407	1	j	j	INTJ
cana-1297	408	1	i	i	PRON
cana-1297	408	2	k	k	PROPN
cana-1297	409	1	n	n	VERB
cana-1297	409	2	f	f	NOUN
cana-1297	409	3	g	g	NOUN
cana-1297	410	1	h	h	NOUN
cana-1297	411	1	i	i	PRON
cana-1297	411	2	s	s	VERB
cana-1297	411	3	k	k	NOUN
cana-1297	411	4	u	u	X
cana-1297	411	5	f	f	PROPN
cana-1297	411	6	g	g	PROPN
cana-1297	411	7	v	v	INTJ
cana-1297	412	1	h	h	NOUN
cana-1297	413	1	i	i	PRON
cana-1297	413	2	u	u	INTJ
cana-1297	414	1	h	h	VERB
cana-1297	415	1	i	i	PRON
cana-1297	415	2	v	v	VERB
cana-1297	415	3	f	f	X
cana-1297	415	4	g	g	PROPN
cana-1297	415	5			PROPN
cana-1297	415	6			NOUN
cana-1297	415	7			NOUN
cana-1297	415	8			ADJ
cana-1297	415	9			NOUN
cana-1297	415	10			ADJ
cana-1297	415	11			NOUN
cana-1297	415	12			NOUN
cana-1297	415	13			NUM
cana-1297	415	14			NUM
cana-1297	415	15			NOUN
cana-1297	415	16			VERB
cana-1297	415	17			PROPN
cana-1297	416	1	+	+	X
cana-1297	416	2	+	+	PUNCT
cana-1297	416	3	=	=	SYM
cana-1297	416	4	+	+	NOUN
cana-1297	416	5			X
cana-1297	416	6			X
cana-1297	416	7			X
cana-1297	416	8			X
cana-1297	416	9	(	(	PUNCT
cana-1297	416	10	using	use	VERB
cana-1297	416	11	irreducibility	irreducibility	NOUN
cana-1297	416	12	of	of	ADP
cana-1297	416	13	n	n	PRON
cana-1297	416	14	as	as	ADP
cana-1297	416	15	tгs	tгs	NOUN
cana-1297	416	16	-	-	PUNCT
cana-1297	416	17	semimodule	semimodule	NOUN
cana-1297	416	18	)	)	PUNCT
cana-1297	416	19	.	.	PUNCT
cana-1297	417	1	[	[	PUNCT
cana-1297	417	2	,	,	PUNCT
cana-1297	417	3	,	,	PUNCT
cana-1297	417	4	,	,	PUNCT
cana-1297	417	5	]	]	PUNCT
cana-1297	417	6	[	[	PUNCT
cana-1297	417	7	,	,	PUNCT
cana-1297	417	8	,	,	PUNCT
cana-1297	417	9	,	,	PUNCT
cana-1297	417	10	]	]	PUNCT
cana-1297	417	11	[	[	PUNCT
cana-1297	417	12	,	,	PUNCT
cana-1297	417	13	,	,	PUNCT
cana-1297	417	14	,	,	PUNCT
cana-1297	417	15	]	]	PUNCT
cana-1297	417	16	i	i	PRON
cana-1297	417	17	i	i	PRON
cana-1297	418	1	i	i	PRON
cana-1297	419	1	i	i	PRON
cana-1297	419	2	j	j	PROPN
cana-1297	420	1	j	j	PROPN
cana-1297	421	1	j	j	PROPN
cana-1297	421	2	j	j	PROPN
cana-1297	422	1	i	i	PRON
cana-1297	422	2	i	i	PRON
cana-1297	423	1	i	i	PRON
cana-1297	423	2	i	i	PRON
cana-1297	424	1	i	i	PRON
cana-1297	424	2	j	j	VERB
cana-1297	425	1	i	i	PRON
cana-1297	425	2	k	k	PROPN
cana-1297	426	1	u	u	X
cana-1297	426	2	f	f	PROPN
cana-1297	426	3	g	g	PROPN
cana-1297	426	4	v	v	NUM
cana-1297	427	1	h	h	NOUN
cana-1297	428	1	i	i	PRON
cana-1297	428	2	v	v	VERB
cana-1297	428	3	f	f	PROPN
cana-1297	428	4	g	g	PROPN
cana-1297	428	5			PROPN
cana-1297	428	6			ADJ
cana-1297	428	7			NOUN
cana-1297	428	8			NOUN
cana-1297	428	9			PROPN
cana-1297	429	1	+	+	PUNCT
cana-1297	430	1	+	+	PUNCT
cana-1297	431	1	+	+	X
cana-1297	431	2			X
cana-1297	431	3			X
cana-1297	431	4			X
cana-1297	431	5	where	where	SCONJ
cana-1297	431	6	[	[	PUNCT
cana-1297	431	7	,	,	PUNCT
cana-1297	431	8	,	,	PUNCT
cana-1297	431	9	,	,	PUNCT
cana-1297	431	10	]	]	PUNCT
cana-1297	431	11	,	,	PUNCT
cana-1297	431	12	[	[	PUNCT
cana-1297	431	13	,	,	PUNCT
cana-1297	431	14	,	,	PUNCT
cana-1297	431	15	,	,	PUNCT
cana-1297	431	16	]	]	PUNCT
cana-1297	431	17	.i	.i	PUNCT
cana-1297	432	1	i	i	PRON
cana-1297	432	2	i	i	PRON
cana-1297	433	1	i	i	PRON
cana-1297	433	2	j	j	PROPN
cana-1297	434	1	j	j	PROPN
cana-1297	435	1	j	j	PROPN
cana-1297	435	2	j	j	PROPN
cana-1297	436	1	i	i	PRON
cana-1297	436	2	j	j	PROPN
cana-1297	437	1	f	f	NOUN
cana-1297	437	2	g	g	PROPN
cana-1297	437	3	h	h	NOUN
cana-1297	438	1	i	i	PRON
cana-1297	438	2	r	r	PROPN
cana-1297	438	3			PROPN
cana-1297	438	4			ADJ
cana-1297	438	5			NOUN
cana-1297	438	6			NOUN
cana-1297	438	7			X
cana-1297	438	8	consequently	consequently	ADV
cana-1297	438	9	n	n	PRON
cana-1297	438	10	is	be	AUX
cana-1297	438	11	an	an	DET
cana-1297	438	12	ir	ir	NOUN
cana-1297	438	13	-	-	PUNCT
cana-1297	438	14	s	s	X
cana-1297	438	15	(	(	PUNCT
cana-1297	438	16	[	[	X
cana-1297	438	17	6	6	NUM
cana-1297	438	18	]	]	PUNCT
cana-1297	438	19	)	)	PUNCT
cana-1297	438	20	.	.	PUNCT
cana-1297	439	1	on	on	ADP
cana-1297	439	2	the	the	DET
cana-1297	439	3	contrary	contrary	NOUN
cana-1297	439	4	,	,	PUNCT
cana-1297	439	5	presume	presume	VERB
cana-1297	439	6	n	n	PRON
cana-1297	439	7	is	be	AUX
cana-1297	439	8	an	an	DET
cana-1297	439	9	ir	ir	PROPN
cana-1297	439	10	-	-	PUNCT
cana-1297	439	11	s.	s.	PROPN
cana-1297	439	12	name	name	PROPN
cana-1297	439	13	г	г	NOUN
cana-1297	439	14	-	-	PUNCT
cana-1297	439	15	action	action	NOUN
cana-1297	439	16	of	of	ADP
cana-1297	439	17	s	s	PRON
cana-1297	439	18	on	on	ADP
cana-1297	439	19	n	n	ADV
cana-1297	439	20	as	as	ADV
cana-1297	439	21	go	go	VERB
cana-1297	439	22	after	after	ADP
cana-1297	439	23	:	:	PUNCT
cana-1297	439	24	for	for	ADP
cana-1297	439	25	1	1	NUM
cana-1297	439	26	2	2	NUM
cana-1297	439	27	1	1	NUM
cana-1297	439	28	2	2	NUM
cana-1297	439	29	,	,	PUNCT
cana-1297	439	30	,	,	PUNCT
cana-1297	439	31	&	&	CCONJ
cana-1297	439	32	,	,	PUNCT
cana-1297	439	33	,	,	PUNCT
cana-1297	439	34	[	[	PUNCT
cana-1297	439	35	,	,	PUNCT
cana-1297	439	36	,	,	PUNCT
cana-1297	439	37	,	,	PUNCT
cana-1297	439	38	]	]	PUNCT
cana-1297	439	39	.f	.f	NOUN
cana-1297	440	1	n	n	X
cana-1297	440	2	s	s	NOUN
cana-1297	440	3	s	s	X
cana-1297	440	4	s	s	X
cana-1297	440	5	f	f	X
cana-1297	440	6	s	s	X
cana-1297	440	7	s	s	X
cana-1297	440	8	f	f	X
cana-1297	440	9	s	s	PART
cana-1297	440	10	s	s	ADJ
cana-1297	440	11			PROPN
cana-1297	440	12			NOUN
cana-1297	440	13			PROPN
cana-1297	440	14			NOUN
cana-1297	440	15			ADV
cana-1297	440	16			VERB
cana-1297	440	17			NOUN
cana-1297	440	18	=	=	SYM
cana-1297	440	19			PROPN
cana-1297	441	1	n	n	PRON
cana-1297	441	2	is	be	AUX
cana-1297	441	3	a	a	DET
cana-1297	441	4	tгs	tгs	NOUN
cana-1297	441	5	-	-	PUNCT
cana-1297	441	6	s.	s.	PROPN
cana-1297	441	7	,	,	PUNCT
cana-1297	441	8	,	,	PUNCT
cana-1297	441	9	&	&	CCONJ
cana-1297	441	10	,	,	PUNCT
cana-1297	441	11	[	[	PUNCT
cana-1297	441	12	,	,	PUNCT
cana-1297	441	13	,	,	PUNCT
cana-1297	441	14	,	,	PUNCT
cana-1297	441	15	]	]	PUNCT
cana-1297	441	16	,	,	PUNCT
cana-1297	441	17	[	[	PUNCT
cana-1297	441	18	,	,	PUNCT
cana-1297	441	19	,	,	PUNCT
cana-1297	441	20	,	,	PUNCT
cana-1297	441	21	]	]	PUNCT
cana-1297	441	22	[	[	PUNCT
cana-1297	441	23	,	,	PUNCT
cana-1297	441	24	,	,	PUNCT
cana-1297	441	25	,	,	PUNCT
cana-1297	441	26	]	]	PUNCT
cana-1297	441	27	[	[	PUNCT
cana-1297	441	28	,	,	PUNCT
cana-1297	441	29	,	,	PUNCT
cana-1297	441	30	,	,	PUNCT
cana-1297	441	31	]	]	PUNCT
cana-1297	441	32	[	[	PUNCT
cana-1297	441	33	,	,	PUNCT
cana-1297	441	34	,	,	PUNCT
cana-1297	441	35	,	,	PUNCT
cana-1297	441	36	]	]	PUNCT
cana-1297	441	37	[	[	PUNCT
cana-1297	441	38	,	,	PUNCT
cana-1297	441	39	,	,	PUNCT
cana-1297	441	40	,	,	PUNCT
cana-1297	441	41	]	]	PUNCT
cana-1297	441	42	.	.	PUNCT
cana-1297	441	43	.	.	PUNCT
cana-1297	442	1	i	i	PRON
cana-1297	442	2	i	i	PRON
cana-1297	443	1	i	i	PRON
cana-1297	444	1	i	i	PRON
cana-1297	444	2	j	j	PROPN
cana-1297	445	1	j	j	PROPN
cana-1297	446	1	j	j	PROPN
cana-1297	446	2	j	j	PROPN
cana-1297	447	1	i	i	PRON
cana-1297	447	2	j	j	VERB
cana-1297	448	1	i	i	PRON
cana-1297	448	2	i	i	PRON
cana-1297	449	1	i	i	PRON
cana-1297	450	1	i	i	PRON
cana-1297	450	2	j	j	PROPN
cana-1297	451	1	j	j	PROPN
cana-1297	451	2	j	j	PROPN
cana-1297	452	1	j	j	PROPN
cana-1297	452	2	j	j	PROPN
cana-1297	453	1	j	j	PROPN
cana-1297	454	1	j	j	PROPN
cana-1297	454	2	j	j	PROPN
cana-1297	455	1	i	i	PRON
cana-1297	455	2	i	i	PRON
cana-1297	456	1	i	i	PRON
cana-1297	456	2	i	i	PRON
cana-1297	457	1	i	i	PRON
cana-1297	457	2	j	j	VERB
cana-1297	458	1	j	j	INTJ
cana-1297	459	1	i	i	PRON
cana-1297	459	2	i	i	PRON
cana-1297	460	1	i	i	PRON
cana-1297	460	2	i	i	PRON
cana-1297	461	1	i	i	PRON
cana-1297	461	2	j	j	PROPN
cana-1297	462	1	j	j	PROPN
cana-1297	462	2	j	j	PROPN
cana-1297	463	1	j	j	PROPN
cana-1297	463	2	j	j	PROPN
cana-1297	464	1	j	j	PROPN
cana-1297	465	1	j	j	PROPN
cana-1297	465	2	j	j	PROPN
cana-1297	466	1	i	i	PRON
cana-1297	466	2	i	i	PRON
cana-1297	467	1	i	i	PRON
cana-1297	467	2	i	i	PRON
cana-1297	468	1	i	i	PRON
cana-1297	468	2	j	j	VERB
cana-1297	469	1	j	j	NOUN
cana-1297	470	1	i	i	PRON
cana-1297	470	2	u	u	VERB
cana-1297	470	3	v	v	VERB
cana-1297	470	4	n	n	ADP
cana-1297	470	5	u	u	NOUN
cana-1297	470	6	v	v	NOUN
cana-1297	470	7	k	k	PROPN
cana-1297	471	1	n	n	CCONJ
cana-1297	471	2	f	f	NOUN
cana-1297	471	3	g	g	NOUN
cana-1297	472	1	h	h	NOUN
cana-1297	473	1	i	i	NOUN
cana-1297	473	2	r	r	VERB
cana-1297	473	3	k	k	NOUN
cana-1297	473	4	u	u	X
cana-1297	473	5	f	f	PROPN
cana-1297	473	6	g	g	PROPN
cana-1297	473	7	v	v	INTJ
cana-1297	474	1	h	h	NOUN
cana-1297	475	1	i	i	PRON
cana-1297	475	2	u	u	INTJ
cana-1297	476	1	h	h	VERB
cana-1297	477	1	i	i	PRON
cana-1297	477	2	v	v	VERB
cana-1297	478	1	f	f	X
cana-1297	478	2	g	g	PROPN
cana-1297	478	3	k	k	PROPN
cana-1297	478	4	u	u	PROPN
cana-1297	478	5	f	f	PROPN
cana-1297	478	6	g	g	PROPN
cana-1297	478	7	v	v	INTJ
cana-1297	479	1	h	h	NOUN
cana-1297	480	1	i	i	PRON
cana-1297	480	2	u	u	INTJ
cana-1297	481	1	h	h	VERB
cana-1297	482	1	i	i	PRON
cana-1297	482	2	v	v	VERB
cana-1297	482	3	f	f	X
cana-1297	482	4	g	g	PROPN
cana-1297	482	5			PROPN
cana-1297	482	6			PROPN
cana-1297	482	7			ADJ
cana-1297	482	8			NOUN
cana-1297	482	9			NOUN
cana-1297	482	10			PROPN
cana-1297	482	11			ADJ
cana-1297	482	12			NOUN
cana-1297	482	13			ADJ
cana-1297	482	14			NOUN
cana-1297	482	15			NOUN
cana-1297	482	16			PROPN
cana-1297	482	17			NOUN
cana-1297	482	18			PROPN
cana-1297	482	19			ADJ
cana-1297	482	20			NOUN
cana-1297	482	21			ADJ
cana-1297	482	22			NOUN
cana-1297	482	23			NOUN
cana-1297	482	24			PROPN
cana-1297	482	25			PROPN
cana-1297	482	26			PROPN
cana-1297	482	27			VERB
cana-1297	482	28			PROPN
cana-1297	482	29			NUM
cana-1297	482	30			PROPN
cana-1297	482	31			NUM
cana-1297	482	32			NOUN
cana-1297	483	1	+	+	X
cana-1297	483	2	+	+	PUNCT
cana-1297	483	3	=	=	SYM
cana-1297	484	1	+	+	CCONJ
cana-1297	484	2			NOUN
cana-1297	484	3	+	+	CCONJ
cana-1297	485	1	+	+	PUNCT
cana-1297	485	2	=	=	SYM
cana-1297	485	3	+	+	CCONJ
cana-1297	485	4			X
cana-1297	485	5			X
cana-1297	485	6			X
cana-1297	485	7			X
cana-1297	485	8			X
cana-1297	485	9			X
cana-1297	485	10			X
cana-1297	485	11			X
cana-1297	485	12			X
cana-1297	485	13			X
cana-1297	485	14	s.	s.	PROPN
cana-1297	485	15	consequently	consequently	ADV
cana-1297	485	16	by	by	ADP
cana-1297	485	17	description	description	NOUN
cana-1297	485	18	n	n	CCONJ
cana-1297	485	19	is	be	AUX
cana-1297	485	20	an	an	DET
cana-1297	485	21	itгs	itгs	NOUN
cana-1297	485	22	-	-	PUNCT
cana-1297	485	23	s.	s.	PROPN
cana-1297	485	24	communications	communication	NOUN
cana-1297	485	25	on	on	ADP
cana-1297	485	26	applied	apply	VERB
cana-1297	485	27	nonlinear	nonlinear	ADJ
cana-1297	485	28	analysis	analysis	NOUN
cana-1297	485	29	issn	issn	NOUN
cana-1297	485	30	:	:	PUNCT
cana-1297	485	31	1074	1074	NUM
cana-1297	485	32	-	-	PUNCT
cana-1297	485	33	133x	133x	NUM
cana-1297	485	34	vol	vol	NOUN
cana-1297	485	35	31	31	NUM
cana-1297	485	36	no	no	NOUN
cana-1297	485	37	.	.	PUNCT
cana-1297	486	1	7s	7	NOUN
cana-1297	486	2	(	(	PUNCT
cana-1297	486	3	2024	2024	NUM
cana-1297	486	4	)	)	PUNCT
cana-1297	486	5	227	227	NUM
cana-1297	486	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1297	486	7	let	let	VERB
cana-1297	486	8	s	s	PRON
cana-1297	486	9	be	be	AUX
cana-1297	486	10	a	a	DET
cana-1297	486	11	tг	tг	PROPN
cana-1297	486	12	-	-	PUNCT
cana-1297	486	13	s.	s.	PROPN
cana-1297	486	14	zeroed	zero	VERB
cana-1297	486	15	of	of	ADP
cana-1297	486	16	s	s	PROPN
cana-1297	486	17	,	,	PUNCT
cana-1297	486	18	is	be	AUX
cana-1297	486	19	identified	identify	VERB
cana-1297	486	20	as	as	ADP
cana-1297	486	21	1	1	NUM
cana-1297	486	22	1	1	NUM
cana-1297	486	23	1	1	NUM
cana-1297	486	24	1	1	NUM
cana-1297	486	25	1	1	NUM
cana-1297	486	26	(	(	PUNCT
cana-1297	486	27	)	)	PUNCT
cana-1297	486	28	{	{	PUNCT
cana-1297	486	29	:	:	PUNCT
cana-1297	486	30	;	;	PUNCT
cana-1297	486	31	}	}	PUNCT
cana-1297	486	32	.s	.s	VERB
cana-1297	487	1	y	y	PROPN
cana-1297	487	2	s	s	NOUN
cana-1297	487	3	y	y	PROPN
cana-1297	487	4	z	z	PROPN
cana-1297	487	5	z	z	NOUN
cana-1297	487	6	z	z	NOUN
cana-1297	487	7	s	s	ADJ
cana-1297	487	8	=	=	SYM
cana-1297	487	9			NOUN
cana-1297	487	10	+	+	NUM
cana-1297	487	11	=	=	SYM
cana-1297	487	12			NOUN
cana-1297	487	13	evidently	evidently	ADV
cana-1297	487	14	,	,	PUNCT
cana-1297	487	15	0	0	NUM
cana-1297	487	16	is	be	AUX
cana-1297	487	17	a	a	DET
cana-1297	487	18	associate	associate	NOUN
cana-1297	487	19	of	of	ADP
cana-1297	487	20	z(s	z(s	PROPN
cana-1297	487	21	)	)	PUNCT
cana-1297	487	22	of	of	ADP
cana-1297	487	23	a	a	DET
cana-1297	487	24	tг	tг	PROPN
cana-1297	487	25	-	-	PUNCT
cana-1297	487	26	s	s	X
cana-1297	487	27	‘s	‘s	NOUN
cana-1297	487	28	’	'	PUNCT
cana-1297	487	29	among	among	ADP
cana-1297	487	30	zero	zero	NUM
cana-1297	487	31	(	(	PUNCT
cana-1297	487	32	0	0	NUM
cana-1297	487	33	)	)	PUNCT
cana-1297	487	34	component	component	NOUN
cana-1297	487	35	.	.	PUNCT
cana-1297	488	1	z(s	z(s	NOUN
cana-1297	488	2	)	)	PUNCT
cana-1297	488	3	of	of	ADP
cana-1297	488	4	a	a	DET
cana-1297	488	5	tг	tг	PROPN
cana-1297	488	6	-	-	PUNCT
cana-1297	488	7	s	s	NOUN
cana-1297	488	8	‘s	‘	NOUN
cana-1297	488	9	’	'	PUNCT
cana-1297	488	10	is	be	AUX
cana-1297	488	11	an	an	DET
cana-1297	488	12	‘	'	PUNCT
cana-1297	488	13	h	h	NOUN
cana-1297	488	14	-	-	PUNCT
cana-1297	488	15	ideal	ideal	NOUN
cana-1297	488	16	’	'	PUNCT
cana-1297	488	17	.	.	PUNCT
cana-1297	489	1	permit	permit	NOUN
cana-1297	489	2	o	o	NOUN
cana-1297	489	3	is	be	AUX
cana-1297	489	4	a	a	DET
cana-1297	489	5	tгs	tгs	PROPN
cana-1297	489	6	-	-	PUNCT
cana-1297	489	7	s.	s.	PROPN
cana-1297	489	8			PROPN
cana-1297	489	9	(	(	PUNCT
cana-1297	489	10	0	0	NUM
cana-1297	489	11	:	:	PUNCT
cana-1297	489	12	o	o	NOUN
cana-1297	489	13	)	)	PUNCT
cana-1297	489	14	{	{	PUNCT
cana-1297	489	15	:	:	PUNCT
cana-1297	489	16	{	{	PUNCT
cana-1297	489	17	0	0	NUM
cana-1297	489	18	}	}	PUNCT
cana-1297	489	19	&	&	CCONJ
cana-1297	489	20	0	0	NUM
cana-1297	489	21	,	,	PUNCT
cana-1297	489	22	}	}	PUNCT
cana-1297	489	23	y	y	PROPN
cana-1297	489	24	s	s	NOUN
cana-1297	489	25	o	o	X
cana-1297	489	26	y	y	PROPN
cana-1297	489	27	s	s	PROPN
cana-1297	489	28	o	o	NOUN
cana-1297	489	29	s	s	X
cana-1297	490	1	y	y	NOUN
cana-1297	490	2	o	o	X
cana-1297	490	3	o	o	X
cana-1297	490	4	s	s	PROPN
cana-1297	490	5	s=	s=	PROPN
cana-1297	490	6			NOUN
cana-1297	490	7			PUNCT
cana-1297	490	8			VERB
cana-1297	490	9	=	=	SYM
cana-1297	490	10			VERB
cana-1297	490	11			VERB
cana-1297	490	12	=	=	PUNCT
cana-1297	490	13			NOUN
cana-1297	490	14			PROPN
cana-1297	490	15			VERB
cana-1297	490	16			NOUN
cana-1297	490	17	where	where	SCONJ
cana-1297	490	18	1	1	NUM
cana-1297	490	19	{	{	PUNCT
cana-1297	490	20	:	:	PUNCT
cana-1297	490	21	,	,	PUNCT
cana-1297	490	22	,	,	PUNCT
cana-1297	490	23	,	,	PUNCT
cana-1297	490	24	,	,	PUNCT
cana-1297	490	25	,	,	PUNCT
cana-1297	490	26	}	}	PUNCT
cana-1297	490	27	k	k	PROPN
cana-1297	490	28	i	i	PRON
cana-1297	491	1	i	i	PRON
cana-1297	492	1	i	i	PRON
cana-1297	493	1	i	i	PRON
cana-1297	494	1	i	i	PRON
cana-1297	495	1	i	i	PRON
cana-1297	496	1	i	i	PRON
cana-1297	497	1	i	i	PRON
cana-1297	498	1	i	i	PRON
cana-1297	499	1	i	i	PRON
cana-1297	500	1	i	i	PRON
cana-1297	500	2	o	o	VERB
cana-1297	501	1	y	y	NOUN
cana-1297	501	2	s	s	X
cana-1297	501	3	o	o	X
cana-1297	501	4	y	y	X
cana-1297	501	5	s	s	NOUN
cana-1297	501	6	o	o	NOUN
cana-1297	501	7	o	o	X
cana-1297	501	8	y	y	PROPN
cana-1297	501	9	s	s	PROPN
cana-1297	501	10	s	s	X
cana-1297	501	11	k	k	PROPN
cana-1297	501	12	z	z	PROPN
cana-1297	501	13			PROPN
cana-1297	501	14			PROPN
cana-1297	501	15			PROPN
cana-1297	501	16	+	+	CCONJ
cana-1297	501	17	=	=	SYM
cana-1297	501	18			VERB
cana-1297	501	19			VERB
cana-1297	501	20	=	=	SYM
cana-1297	501	21			NOUN
cana-1297	501	22			VERB
cana-1297	501	23			NOUN
cana-1297	501	24			NOUN
cana-1297	501	25	.	.	PUNCT
cana-1297	502	1	we	we	PRON
cana-1297	502	2	call	call	VERB
cana-1297	502	3	(	(	PUNCT
cana-1297	502	4	0	0	NUM
cana-1297	502	5	:	:	PUNCT
cana-1297	502	6	o	o	X
cana-1297	502	7	)	)	PUNCT
cana-1297	502	8	the	the	DET
cana-1297	502	9	annihilator	annihilator	NOUN
cana-1297	502	10	of	of	ADP
cana-1297	502	11	o	o	PROPN
cana-1297	502	12	in	in	ADP
cana-1297	502	13	s.	s.	PROPN
cana-1297	502	14	designate	designate	VERB
cana-1297	502	15	it	it	PRON
cana-1297	502	16	by	by	ADP
cana-1297	502	17	(	(	PUNCT
cana-1297	502	18	)	)	PUNCT
cana-1297	502	19	.sa	.sa	PUNCT
cana-1297	503	1	o	o	NOUN
cana-1297	503	2	a	a	DET
cana-1297	503	3	tгs	tгs	PROPN
cana-1297	503	4	-	-	PUNCT
cana-1297	503	5	s	s	PART
cana-1297	503	6	‘	'	PUNCT
cana-1297	503	7	o	o	NOUN
cana-1297	503	8	’	'	PUNCT
cana-1297	503	9	is	be	AUX
cana-1297	503	10	held	hold	VERB
cana-1297	503	11	elect	elect	NOUN
cana-1297	503	12	faithful	faithful	ADJ
cana-1297	503	13	if	if	SCONJ
cana-1297	503	14	(	(	PUNCT
cana-1297	503	15	)	)	PUNCT
cana-1297	503	16	(	(	PUNCT
cana-1297	503	17	)	)	PUNCT
cana-1297	503	18	.sa	.sa	PUNCT
cana-1297	504	1	o	o	NOUN
cana-1297	504	2	z	z	PROPN
cana-1297	504	3	s=	s=	PROPN
cana-1297	504	4	proposition	proposition	NOUN
cana-1297	504	5	3.09	3.09	NUM
cana-1297	504	6	:	:	PUNCT
cana-1297	504	7	a	a	DET
cana-1297	504	8	tгs	tгs	NOUN
cana-1297	504	9	-	-	PUNCT
cana-1297	504	10	s	s	PART
cana-1297	504	11	‘	'	PUNCT
cana-1297	504	12	o	o	NOUN
cana-1297	504	13	’	'	PUNCT
cana-1297	504	14	.	.	PUNCT
cana-1297	505	1	afterward	afterward	ADV
cana-1297	505	2	(	(	PUNCT
cana-1297	505	3	)	)	PUNCT
cana-1297	505	4	sa	sa	PROPN
cana-1297	505	5	o	o	NOUN
cana-1297	505	6	is	be	AUX
cana-1297	505	7	an	an	DET
cana-1297	505	8	‘	'	PUNCT
cana-1297	505	9	h	h	NOUN
cana-1297	505	10	-	-	PUNCT
cana-1297	505	11	ideal	ideal	NOUN
cana-1297	505	12	’	'	PUNCT
cana-1297	505	13	of	of	ADP
cana-1297	505	14	s.	s.	PROPN
cana-1297	505	15	likewise	likewise	ADV
cana-1297	505	16	,	,	PUNCT
cana-1297	505	17	o	o	PROPN
cana-1297	505	18	is	be	AUX
cana-1297	505	19	faithful	faithful	ADJ
cana-1297	505	20	(	(	PUNCT
cana-1297	505	21	/	/	SYM
cana-1297	505	22	(	(	PUNCT
cana-1297	505	23	)	)	PUNCT
cana-1297	505	24	)	)	PUNCT
cana-1297	505	25	ss	ss	ADP
cana-1297	505	26	a	a	DET
cana-1297	505	27	o	o	PROPN
cana-1297	505	28	semi	semi	ADJ
cana-1297	505	29	module	module	NOUN
cana-1297	505	30	.	.	PUNCT
cana-1297	506	1	proof	proof	NOUN
cana-1297	506	2	:	:	PUNCT
cana-1297	506	3	obviously	obviously	ADV
cana-1297	506	4	(	(	PUNCT
cana-1297	506	5	)	)	PUNCT
cana-1297	506	6	sa	sa	PROPN
cana-1297	506	7	o	o	NOUN
cana-1297	506	8	is	be	AUX
cana-1297	506	9	an	an	DET
cana-1297	506	10	additive	additive	ADJ
cana-1297	506	11	subsemigroup	subsemigroup	NOUN
cana-1297	506	12	of	of	ADP
cana-1297	506	13	s.	s.	PROPN
cana-1297	506	14	currently	currently	ADV
cana-1297	506	15	(	(	PUNCT
cana-1297	506	16	)	)	PUNCT
cana-1297	506	17	,	,	PUNCT
cana-1297	506	18	,	,	PUNCT
cana-1297	506	19	,	,	PUNCT
cana-1297	506	20	.sy	.sy	PUNCT
cana-1297	507	1	a	a	DET
cana-1297	507	2	o	o	NOUN
cana-1297	507	3	s	s	VERB
cana-1297	507	4	s	s	NOUN
cana-1297	507	5			ADP
cana-1297	507	6			NOUN
cana-1297	507	7			NOUN
cana-1297	507	8	next	next	ADV
cana-1297	507	9	(	(	PUNCT
cana-1297	507	10	)	)	PUNCT
cana-1297	507	11	(	(	PUNCT
cana-1297	507	12	)	)	PUNCT
cana-1297	507	13	{	{	PUNCT
cana-1297	507	14	0}.o	0}.o	NUM
cana-1297	507	15	y	y	PROPN
cana-1297	507	16	s	s	NOUN
cana-1297	507	17	s	s	NOUN
cana-1297	507	18	o	o	X
cana-1297	507	19	y	y	PROPN
cana-1297	507	20	s	s	PROPN
cana-1297	507	21	s	s	PROPN
cana-1297	507	22			NOUN
cana-1297	507	23			NOUN
cana-1297	507	24			NOUN
cana-1297	507	25	=	=	SYM
cana-1297	507	26			VERB
cana-1297	507	27	=	=	NOUN
cana-1297	507	28	hence	hence	ADV
cana-1297	507	29	(	(	PUNCT
cana-1297	507	30	)	)	PUNCT
cana-1297	507	31	sy	sy	PROPN
cana-1297	507	32	s	s	AUX
cana-1297	507	33	s	s	X
cana-1297	507	34	a	a	DET
cana-1297	507	35	o	o	PROPN
cana-1297	507	36			NOUN
cana-1297	507	37			NOUN
cana-1297	507	38	verifying	verify	VERB
cana-1297	507	39	as	as	ADP
cana-1297	507	40	rideal	rideal	NOUN
cana-1297	507	41	.	.	PUNCT
cana-1297	508	1	correspondingly	correspondingly	ADV
cana-1297	508	2	we	we	PRON
cana-1297	508	3	confirm	confirm	VERB
cana-1297	508	4	(	(	PUNCT
cana-1297	508	5	)	)	PUNCT
cana-1297	508	6	sa	sa	PROPN
cana-1297	508	7	o	o	NOUN
cana-1297	508	8	is	be	AUX
cana-1297	508	9	a	a	DET
cana-1297	508	10	l	l	NOUN
cana-1297	508	11	/	/	SYM
cana-1297	508	12	la	la	ADJ
cana-1297	508	13	ideal	ideal	NOUN
cana-1297	508	14	of	of	ADP
cana-1297	508	15	s.	s.	PROPN
cana-1297	508	16	after	after	ADP
cana-1297	508	17	that	that	PRON
cana-1297	508	18	1	1	NUM
cana-1297	508	19	2y	2y	NUM
cana-1297	508	20	s	s	PART
cana-1297	508	21	z	z	NOUN
cana-1297	508	22	s	s	NOUN
cana-1297	508	23	z+	z+	NUM
cana-1297	508	24	+	+	CCONJ
cana-1297	508	25	=	=	PUNCT
cana-1297	509	1	+	+	X
cana-1297	509	2	wherever	wherever	SCONJ
cana-1297	509	3	1	1	NUM
cana-1297	509	4	2	2	NUM
cana-1297	509	5	,	,	PUNCT
cana-1297	509	6	,	,	PUNCT
cana-1297	509	7	,	,	PUNCT
cana-1297	509	8	(	(	PUNCT
cana-1297	509	9	)	)	PUNCT
cana-1297	509	10	.sy	.sy	PUNCT
cana-1297	510	1	z	z	PUNCT
cana-1297	510	2	s	s	NOUN
cana-1297	510	3	s	s	X
cana-1297	510	4	s	s	X
cana-1297	510	5	a	a	DET
cana-1297	510	6	o	o	PROPN
cana-1297	510	7			NOUN
cana-1297	510	8	afterward	afterward	ADV
cana-1297	510	9	1	1	NUM
cana-1297	510	10	2	2	NUM
cana-1297	510	11	1	1	NUM
cana-1297	510	12	1	1	NUM
cana-1297	510	13	2	2	NUM
cana-1297	510	14	2	2	NUM
cana-1297	510	15	,	,	PUNCT
cana-1297	510	16	(	(	PUNCT
cana-1297	510	17	)	)	PUNCT
cana-1297	510	18	,	,	PUNCT
cana-1297	510	19	0	0	NUM
cana-1297	510	20	&	&	CCONJ
cana-1297	510	21	0	0	NUM
cana-1297	510	22	&	&	CCONJ
cana-1297	510	23	.sy	.sy	PUNCT
cana-1297	511	1	y	y	PROPN
cana-1297	511	2	a	a	DET
cana-1297	511	3	o	o	X
cana-1297	512	1	o	o	X
cana-1297	512	2	t	t	NOUN
cana-1297	513	1	y	y	X
cana-1297	513	2	o	o	X
cana-1297	514	1	y	y	PROPN
cana-1297	514	2	t	t	NOUN
cana-1297	515	1	o	o	X
cana-1297	515	2	t	t	NOUN
cana-1297	516	1	y	y	X
cana-1297	516	2	o	o	X
cana-1297	517	1	y	y	NOUN
cana-1297	517	2	t	t	NOUN
cana-1297	518	1	o	o	X
cana-1297	518	2	o	o	X
cana-1297	519	1	t	t	X
cana-1297	519	2	s	s	PROPN
cana-1297	519	3			NOUN
cana-1297	519	4			NUM
cana-1297	519	5			PROPN
cana-1297	519	6			NUM
cana-1297	519	7			NOUN
cana-1297	519	8			NUM
cana-1297	519	9			PROPN
cana-1297	519	10			NOUN
cana-1297	519	11	=	=	PUNCT
cana-1297	520	1	=	=	PUNCT
cana-1297	520	2	=	=	PUNCT
cana-1297	520	3	=	=	PUNCT
cana-1297	520	4			X
cana-1297	520	5			PROPN
cana-1297	520	6			VERB
cana-1297	520	7			NOUN
cana-1297	520	8	now	now	ADV
cana-1297	520	9	1	1	NUM
cana-1297	520	10	2	2	NUM
cana-1297	520	11	1	1	NUM
cana-1297	520	12	2	2	NUM
cana-1297	520	13	.y	.y	NOUN
cana-1297	520	14	s	s	PART
cana-1297	520	15	z	z	NOUN
cana-1297	520	16	s	s	PART
cana-1297	520	17	z	z	NOUN
cana-1297	520	18	o	o	NOUN
cana-1297	521	1	t	t	NOUN
cana-1297	521	2	x	x	X
cana-1297	522	1	o	o	NOUN
cana-1297	522	2	t	t	X
cana-1297	522	3	y	y	X
cana-1297	522	4	o	o	INTJ
cana-1297	522	5	t	t	X
cana-1297	523	1	z	z	NOUN
cana-1297	523	2	o	o	NOUN
cana-1297	524	1	t	t	NOUN
cana-1297	524	2	y	y	X
cana-1297	524	3	o	o	NOUN
cana-1297	525	1	t	t	NOUN
cana-1297	525	2	z	z	X
cana-1297	525	3			NOUN
cana-1297	525	4			NUM
cana-1297	525	5			PROPN
cana-1297	525	6			NUM
cana-1297	525	7			NOUN
cana-1297	525	8			NUM
cana-1297	525	9			NOUN
cana-1297	525	10			PUNCT
cana-1297	525	11	+	+	PROPN
cana-1297	525	12	+	+	SYM
cana-1297	525	13	=	=	SYM
cana-1297	526	1	+	+	NUM
cana-1297	526	2			NOUN
cana-1297	527	1	+	+	X
cana-1297	528	1	+	+	PUNCT
cana-1297	528	2	=	=	SYM
cana-1297	529	1	+	+	CCONJ
cana-1297	529	2	this	this	PRON
cana-1297	529	3	leads	lead	VERB
cana-1297	529	4	to	to	ADP
cana-1297	529	5	1	1	NUM
cana-1297	529	6	20	20	NUM
cana-1297	529	7	0o	0o	NUM
cana-1297	530	1	t	t	PROPN
cana-1297	530	2	y	y	NOUN
cana-1297	531	1	o	o	NOUN
cana-1297	531	2	t	t	X
cana-1297	532	1	y	y	X
cana-1297	532	2	o	o	X
cana-1297	532	3	t	t	NOUN
cana-1297	532	4	y	y	NOUN
cana-1297	533	1			NOUN
cana-1297	533	2			AUX
cana-1297	533	3			PROPN
cana-1297	533	4			NUM
cana-1297	533	5	=	=	PROPN
cana-1297	533	6	=	=	SYM
cana-1297	534	1	=	=	PROPN
cana-1297	534	2	&	&	CCONJ
cana-1297	534	3	o	o	PROPN
cana-1297	534	4	is	be	AUX
cana-1297	534	5	additively	additively	ADV
cana-1297	534	6	cancellative	cancellative	ADJ
cana-1297	534	7	.	.	PUNCT
cana-1297	535	1	similarly	similarly	ADV
cana-1297	535	2	,	,	PUNCT
cana-1297	535	3	we	we	PRON
cana-1297	535	4	can	can	AUX
cana-1297	535	5	show	show	VERB
cana-1297	535	6	that	that	SCONJ
cana-1297	535	7	0	0	PROPN
cana-1297	535	8	&	&	CCONJ
cana-1297	535	9	,	,	PUNCT
cana-1297	535	10	.o	.o	PROPN
cana-1297	536	1	y	y	PROPN
cana-1297	536	2	t	t	NOUN
cana-1297	537	1	o	o	X
cana-1297	537	2	o	o	X
cana-1297	537	3	y	y	PROPN
cana-1297	537	4	t	t	PROPN
cana-1297	537	5	s	s	VERB
cana-1297	537	6			NOUN
cana-1297	537	7	=	=	PROPN
cana-1297	538	1			VERB
cana-1297	538	2			PROPN
cana-1297	538	3			VERB
cana-1297	538	4			NOUN
cana-1297	538	5	thus	thus	ADV
cana-1297	538	6	(	(	PUNCT
cana-1297	538	7	)	)	PUNCT
cana-1297	538	8	sx	sx	PROPN
cana-1297	538	9	a	a	DET
cana-1297	538	10	o	o	PROPN
cana-1297	538	11	and	and	CCONJ
cana-1297	538	12	hence	hence	ADV
cana-1297	538	13	(	(	PUNCT
cana-1297	538	14	)	)	PUNCT
cana-1297	538	15	sa	sa	PROPN
cana-1297	538	16	o	o	NOUN
cana-1297	538	17	is	be	AUX
cana-1297	538	18	an	an	DET
cana-1297	538	19	‘	'	PUNCT
cana-1297	538	20	h	h	NOUN
cana-1297	538	21	-	-	PUNCT
cana-1297	538	22	ideal	ideal	NOUN
cana-1297	538	23	’	'	PUNCT
cana-1297	538	24	of	of	ADP
cana-1297	538	25	s.	s.	PROPN
cana-1297	538	26	currently	currently	ADV
cana-1297	538	27	describe	describe	VERB
cana-1297	538	28	a	a	DET
cana-1297	538	29	г	г	NOUN
cana-1297	538	30	-	-	PUNCT
cana-1297	538	31	action	action	NOUN
cana-1297	538	32	of	of	ADP
cana-1297	538	33	/	/	SYM
cana-1297	538	34	(	(	PUNCT
cana-1297	538	35	)	)	PUNCT
cana-1297	538	36	ss	ss	NOUN
cana-1297	538	37	a	a	DET
cana-1297	538	38	o	o	NOUN
cana-1297	538	39	on	on	ADP
cana-1297	538	40	o	o	NOUN
cana-1297	538	41	as	as	ADP
cana-1297	538	42	below	below	ADV
cana-1297	538	43	:	:	PUNCT
cana-1297	538	44	(	(	PUNCT
cana-1297	538	45	/	/	SYM
cana-1297	538	46	(	(	PUNCT
cana-1297	538	47	)	)	PUNCT
cana-1297	538	48	)	)	PUNCT
cana-1297	539	1	(	(	PUNCT
cana-1297	539	2	/	/	SYM
cana-1297	539	3	(	(	PUNCT
cana-1297	539	4	)	)	PUNCT
cana-1297	539	5	)	)	PUNCT
cana-1297	539	6	(	(	PUNCT
cana-1297	539	7	)	)	PUNCT
cana-1297	539	8	:	:	PUNCT
cana-1297	539	9	,	,	PUNCT
cana-1297	539	10	,	,	PUNCT
cana-1297	539	11	,	,	PUNCT
cana-1297	539	12	,	,	PUNCT
cana-1297	539	13	/	/	SYM
cana-1297	539	14	(	(	PUNCT
cana-1297	539	15	)	)	PUNCT
cana-1297	539	16	/	/	SYM
cana-1297	539	17	(	(	PUNCT
cana-1297	539	18	)	)	PUNCT
cana-1297	539	19	.s	.s	NOUN
cana-1297	539	20	s	s	PART
cana-1297	540	1	s	s	X
cana-1297	540	2	so	so	ADV
cana-1297	540	3	s	s	VERB
cana-1297	540	4	a	a	DET
cana-1297	540	5	o	o	NOUN
cana-1297	540	6	t	t	NOUN
cana-1297	540	7	a	a	DET
cana-1297	540	8	o	o	NOUN
cana-1297	541	1	o	o	X
cana-1297	541	2	s	s	X
cana-1297	541	3	s	s	X
cana-1297	541	4	s	s	X
cana-1297	541	5	t	t	NOUN
cana-1297	541	6	s	s	X
cana-1297	541	7	s	s	X
cana-1297	541	8	a	a	DET
cana-1297	541	9	o	o	X
cana-1297	541	10	s	s	VERB
cana-1297	541	11	a	a	DET
cana-1297	541	12	o	o	PRON
cana-1297	541	13			PROPN
cana-1297	541	14			PROPN
cana-1297	541	15			PROPN
cana-1297	541	16			PROPN
cana-1297	541	17	=	=	PROPN
cana-1297	541	18			PROPN
cana-1297	541	19			VERB
cana-1297	541	20			NOUN
cana-1297	541	21	if	if	SCONJ
cana-1297	541	22	/	/	SYM
cana-1297	541	23	(	(	PUNCT
cana-1297	541	24	)	)	PUNCT
cana-1297	541	25	/	/	SYM
cana-1297	541	26	(	(	PUNCT
cana-1297	541	27	)	)	PUNCT
cana-1297	541	28	s	s	PART
cana-1297	541	29	st	st	PROPN
cana-1297	541	30	a	a	DET
cana-1297	541	31	o	o	X
cana-1297	541	32	t	t	NOUN
cana-1297	541	33	a	a	DET
cana-1297	541	34	o=	o=	NOUN
cana-1297	541	35	then	then	ADV
cana-1297	541	36	1	1	NUM
cana-1297	541	37	1	1	NUM
cana-1297	541	38	2	2	NUM
cana-1297	541	39	1	1	NUM
cana-1297	541	40	1	1	NUM
cana-1297	541	41	2	2	NUM
cana-1297	541	42	1	1	NUM
cana-1297	541	43	,	,	PUNCT
cana-1297	541	44	(	(	PUNCT
cana-1297	541	45	)	)	PUNCT
cana-1297	541	46	&	&	CCONJ
cana-1297	541	47	.st	.st	PUNCT
cana-1297	542	1	i	i	PRON
cana-1297	542	2	z	z	NOUN
cana-1297	543	1	t	t	NOUN
cana-1297	544	1	i	i	PRON
cana-1297	544	2	z	z	VERB
cana-1297	545	1	i	i	PRON
cana-1297	545	2	i	i	PRON
cana-1297	546	1	a	a	DET
cana-1297	546	2	o	o	X
cana-1297	546	3	z	z	X
cana-1297	546	4	s+	s+	NOUN
cana-1297	547	1	+	+	X
cana-1297	547	2	=	=	SYM
cana-1297	548	1	+	+	CCONJ
cana-1297	548	2	+	+	CCONJ
cana-1297	548	3			ADJ
cana-1297	548	4			NOUN
cana-1297	548	5			NOUN
cana-1297	548	6	1	1	NUM
cana-1297	548	7	2	2	NUM
cana-1297	548	8	,	,	PUNCT
cana-1297	548	9	(	(	PUNCT
cana-1297	548	10	)	)	PUNCT
cana-1297	548	11	,	,	PUNCT
cana-1297	548	12	si	si	PROPN
cana-1297	548	13	i	i	PRON
cana-1297	548	14	a	a	DET
cana-1297	548	15	o	o	NOUN
cana-1297	548	16	we	we	PRON
cana-1297	548	17	have	have	VERB
cana-1297	548	18	1	1	NUM
cana-1297	548	19	2	2	NUM
cana-1297	548	20	0.o	0.o	NUM
cana-1297	548	21	s	s	VERB
cana-1297	549	1	i	i	PRON
cana-1297	550	1	o	o	X
cana-1297	550	2	s	s	X
cana-1297	550	3	i	i	PROPN
cana-1297	550	4			PROPN
cana-1297	550	5			PROPN
cana-1297	550	6	=	=	PROPN
cana-1297	551	1	=	=	PROPN
cana-1297	551	2	now	now	ADV
cana-1297	551	3	1	1	NUM
cana-1297	551	4	1	1	NUM
cana-1297	551	5	2	2	NUM
cana-1297	551	6	1	1	NUM
cana-1297	551	7	1	1	NUM
cana-1297	551	8	1	1	NUM
cana-1297	551	9	2	2	NUM
cana-1297	551	10	1	1	NUM
cana-1297	551	11	,	,	PUNCT
cana-1297	551	12	&	&	CCONJ
cana-1297	551	13	,	,	PUNCT
cana-1297	551	14	,	,	PUNCT
cana-1297	551	15	,	,	PUNCT
cana-1297	551	16	.	.	PUNCT
cana-1297	552	1	t	t	NOUN
cana-1297	553	1	i	i	PRON
cana-1297	553	2	z	z	NOUN
cana-1297	554	1	t	t	NOUN
cana-1297	555	1	i	i	PRON
cana-1297	555	2	z	z	NOUN
cana-1297	556	1	o	o	NOUN
cana-1297	556	2	s	s	X
cana-1297	556	3	t	t	X
cana-1297	557	1	o	o	X
cana-1297	557	2	s	s	VERB
cana-1297	558	1	i	i	PRON
cana-1297	558	2	o	o	NOUN
cana-1297	558	3	s	s	VERB
cana-1297	558	4	z	z	NOUN
cana-1297	558	5	o	o	NOUN
cana-1297	558	6	s	s	X
cana-1297	558	7	t	t	X
cana-1297	559	1	o	o	X
cana-1297	559	2	s	s	VERB
cana-1297	560	1	i	i	PRON
cana-1297	560	2	o	o	NOUN
cana-1297	560	3	s	s	X
cana-1297	560	4	z	z	NOUN
cana-1297	561	1	o	o	NOUN
cana-1297	561	2	o	o	X
cana-1297	561	3	s	s	X
cana-1297	561	4	s	s	X
cana-1297	561	5	o	o	NOUN
cana-1297	561	6	s	s	X
cana-1297	561	7	t	t	NOUN
cana-1297	561	8	o	o	X
cana-1297	561	9	s	s	X
cana-1297	561	10	t	t	X
cana-1297	561	11	o	o	NOUN
cana-1297	561	12	o	o	X
cana-1297	562	1			PROPN
cana-1297	562	2			PROPN
cana-1297	563	1			PROPN
cana-1297	563	2			PROPN
cana-1297	564	1			PROPN
cana-1297	564	2			PROPN
cana-1297	565	1			PROPN
cana-1297	565	2			PROPN
cana-1297	566	1			PROPN
cana-1297	566	2			PROPN
cana-1297	567	1			PROPN
cana-1297	567	2			PROPN
cana-1297	568	1			PROPN
cana-1297	568	2			PROPN
cana-1297	569	1			PROPN
cana-1297	569	2			PROPN
cana-1297	569	3			PROPN
cana-1297	569	4			PROPN
cana-1297	569	5			PROPN
cana-1297	569	6			PROPN
cana-1297	569	7	+	+	NOUN
cana-1297	569	8	+	+	PUNCT
cana-1297	569	9	=	=	PUNCT
cana-1297	570	1	+	+	X
cana-1297	571	1	+	+	NUM
cana-1297	571	2			X
cana-1297	571	3	+	+	X
cana-1297	571	4	+	+	PUNCT
cana-1297	571	5	=	=	SYM
cana-1297	571	6	+	+	CCONJ
cana-1297	571	7	+	+	CCONJ
cana-1297	571	8			ADJ
cana-1297	571	9			NOUN
cana-1297	571	10			NOUN
cana-1297	571	11			VERB
cana-1297	571	12			X
cana-1297	571	13	=	=	SYM
cana-1297	571	14			VERB
cana-1297	571	15			NOUN
cana-1297	571	16			VERB
cana-1297	571	17	г	г	NOUN
cana-1297	571	18	-	-	PUNCT
cana-1297	571	19	action	action	NOUN
cana-1297	571	20	of	of	ADP
cana-1297	571	21	/	/	SYM
cana-1297	571	22	(	(	PUNCT
cana-1297	571	23	)	)	PUNCT
cana-1297	571	24	ss	ss	NOUN
cana-1297	571	25	a	a	DET
cana-1297	571	26	o	o	NOUN
cana-1297	571	27	on	on	ADP
cana-1297	571	28	o	o	PROPN
cana-1297	571	29	is	be	AUX
cana-1297	571	30	well	well	ADV
cana-1297	571	31	defined	define	VERB
cana-1297	571	32	.	.	PUNCT
cana-1297	572	1	presently	presently	ADV
cana-1297	572	2	seeing	see	VERB
cana-1297	572	3	that	that	PRON
cana-1297	572	4	is	be	AUX
cana-1297	572	5	o	o	NOUN
cana-1297	572	6	is	be	AUX
cana-1297	572	7	a	a	PRON
cana-1297	572	8	(	(	PUNCT
cana-1297	572	9	/	/	SYM
cana-1297	572	10	(	(	PUNCT
cana-1297	572	11	)	)	PUNCT
cana-1297	572	12	)	)	PUNCT
cana-1297	572	13	ss	ss	ADP
cana-1297	572	14	a	a	DET
cana-1297	572	15	o	o	PROPN
cana-1297	572	16	-semimodule	-semimodule	NOUN
cana-1297	572	17	.	.	PUNCT
cana-1297	573	1	it	it	PRON
cana-1297	573	2	stays	stay	VERB
cana-1297	573	3	to	to	PART
cana-1297	573	4	confirm	confirm	VERB
cana-1297	573	5	that	that	PRON
cana-1297	573	6	/	/	PUNCT
cana-1297	573	7	(	(	PUNCT
cana-1297	573	8	)	)	PUNCT
cana-1297	573	9	(	(	PUNCT
cana-1297	573	10	)	)	PUNCT
cana-1297	573	11	(	(	PUNCT
cana-1297	573	12	/	/	SYM
cana-1297	573	13	(	(	PUNCT
cana-1297	573	14	)	)	PUNCT
cana-1297	573	15	)	)	PUNCT
cana-1297	573	16	.	.	PUNCT
cana-1297	574	1	ss	ss	VERB
cana-1297	574	2	a	a	DET
cana-1297	574	3	o	o	X
cana-1297	574	4	sa	sa	NOUN
cana-1297	574	5	o	o	PROPN
cana-1297	575	1	z	z	X
cana-1297	575	2	s	s	PROPN
cana-1297	575	3	a	a	DET
cana-1297	575	4	o=	o=	NOUN
cana-1297	575	5	clearly	clearly	ADV
cana-1297	575	6	/	/	SYM
cana-1297	575	7	(	(	PUNCT
cana-1297	575	8	)	)	PUNCT
cana-1297	575	9	(	(	PUNCT
cana-1297	575	10	/	/	SYM
cana-1297	575	11	(	(	PUNCT
cana-1297	575	12	)	)	PUNCT
cana-1297	575	13	)	)	PUNCT
cana-1297	575	14	(	(	PUNCT
cana-1297	575	15	)	)	PUNCT
cana-1297	575	16	.	.	PUNCT
cana-1297	576	1	ss	ss	NOUN
cana-1297	576	2	s	s	VERB
cana-1297	576	3	a	a	DET
cana-1297	576	4	oz	oz	X
cana-1297	576	5	s	s	PROPN
cana-1297	576	6	a	a	DET
cana-1297	576	7	o	o	NOUN
cana-1297	576	8	a	a	DET
cana-1297	576	9	o	o	NOUN
cana-1297	576	10	communications	communication	NOUN
cana-1297	576	11	on	on	ADP
cana-1297	576	12	applied	apply	VERB
cana-1297	576	13	nonlinear	nonlinear	ADJ
cana-1297	576	14	analysis	analysis	NOUN
cana-1297	576	15	issn	issn	NOUN
cana-1297	576	16	:	:	PUNCT
cana-1297	576	17	1074	1074	NUM
cana-1297	576	18	-	-	PUNCT
cana-1297	576	19	133x	133x	NUM
cana-1297	576	20	vol	vol	NOUN
cana-1297	576	21	31	31	NUM
cana-1297	576	22	no	no	NOUN
cana-1297	576	23	.	.	PUNCT
cana-1297	577	1	7s	7	NOUN
cana-1297	577	2	(	(	PUNCT
cana-1297	577	3	2024	2024	NUM
cana-1297	577	4	)	)	PUNCT
cana-1297	577	5	228	228	NUM
cana-1297	577	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1297	577	7	now	now	ADV
cana-1297	577	8	let	let	VERB
cana-1297	577	9	/	/	SYM
cana-1297	577	10	(	(	PUNCT
cana-1297	577	11	)	)	PUNCT
cana-1297	577	12	/	/	SYM
cana-1297	577	13	(	(	PUNCT
cana-1297	577	14	)	)	PUNCT
cana-1297	577	15	(	(	PUNCT
cana-1297	577	16	)	)	PUNCT
cana-1297	577	17	(	(	PUNCT
cana-1297	577	18	/	/	SYM
cana-1297	577	19	(	(	PUNCT
cana-1297	577	20	)	)	PUNCT
cana-1297	577	21	)	)	PUNCT
cana-1297	578	1	(	(	PUNCT
cana-1297	578	2	/	/	SYM
cana-1297	578	3	(	(	PUNCT
cana-1297	578	4	)	)	PUNCT
cana-1297	578	5	)	)	PUNCT
cana-1297	578	6	0	0	NUM
cana-1297	578	7	&	&	CCONJ
cana-1297	578	8	(	(	PUNCT
cana-1297	578	9	/	/	SYM
cana-1297	578	10	(	(	PUNCT
cana-1297	578	11	)	)	PUNCT
cana-1297	578	12	)	)	PUNCT
cana-1297	579	1	(	(	PUNCT
cana-1297	579	2	/	/	SYM
cana-1297	579	3	(	(	PUNCT
cana-1297	579	4	)	)	PUNCT
cana-1297	579	5	)	)	PUNCT
cana-1297	579	6	0	0	NUM
cana-1297	579	7	.	.	PUNCT
cana-1297	580	1	.	.	PUNCT
cana-1297	581	1	0	0	NUM
cana-1297	581	2	&	&	CCONJ
cana-1297	581	3	0	0	NUM
cana-1297	581	4	&	&	CCONJ
cana-1297	581	5	.	.	PUNCT
cana-1297	582	1	ss	ss	PRON
cana-1297	582	2	s	s	VERB
cana-1297	582	3	a	a	DET
cana-1297	582	4	o	o	NOUN
cana-1297	582	5	s	s	X
cana-1297	582	6	s	s	X
cana-1297	582	7	s	s	X
cana-1297	582	8	s	s	X
cana-1297	582	9	x	x	X
cana-1297	582	10	a	a	DET
cana-1297	582	11	o	o	NOUN
cana-1297	582	12	a	a	DET
cana-1297	582	13	o	o	X
cana-1297	582	14	o	o	X
cana-1297	582	15	t	t	NOUN
cana-1297	582	16	a	a	DET
cana-1297	582	17	o	o	X
cana-1297	582	18	x	x	X
cana-1297	582	19	a	a	DET
cana-1297	582	20	o	o	NOUN
cana-1297	582	21	o	o	X
cana-1297	582	22	x	x	X
cana-1297	582	23	a	a	DET
cana-1297	582	24	o	o	X
cana-1297	582	25	t	t	NOUN
cana-1297	582	26	a	a	DET
cana-1297	582	27	o	o	X
cana-1297	583	1	i	i	NOUN
cana-1297	583	2	e	e	NOUN
cana-1297	584	1	o	o	NOUN
cana-1297	584	2	t	t	NOUN
cana-1297	584	3	x	x	X
cana-1297	584	4	o	o	X
cana-1297	584	5	x	x	X
cana-1297	585	1	t	t	NOUN
cana-1297	585	2	o	o	X
cana-1297	585	3	o	o	X
cana-1297	585	4	t	t	NOUN
cana-1297	585	5	s	s	PROPN
cana-1297	585	6			NUM
cana-1297	585	7			ADJ
cana-1297	585	8			NUM
cana-1297	585	9			NOUN
cana-1297	585	10			NOUN
cana-1297	586	1			VERB
cana-1297	586	2			VERB
cana-1297	586	3	=	=	SYM
cana-1297	586	4			VERB
cana-1297	586	5			PROPN
cana-1297	586	6	=	=	SYM
cana-1297	586	7	=	=	SYM
cana-1297	586	8	=	=	PUNCT
cana-1297	586	9			NOUN
cana-1297	586	10			PROPN
cana-1297	586	11			NOUN
cana-1297	586	12	thus	thus	ADV
cana-1297	586	13	(	(	PUNCT
cana-1297	586	14	)	)	PUNCT
cana-1297	586	15	sx	sx	PROPN
cana-1297	586	16	a	a	DET
cana-1297	586	17	o	o	PROPN
cana-1297	586	18	and	and	CCONJ
cana-1297	586	19	hence	hence	ADV
cana-1297	586	20	consequently	consequently	ADV
cana-1297	586	21	,	,	PUNCT
cana-1297	586	22	/	/	SYM
cana-1297	586	23	(	(	PUNCT
cana-1297	586	24	)	)	PUNCT
cana-1297	586	25	(	(	PUNCT
cana-1297	586	26	/	/	SYM
cana-1297	586	27	(	(	PUNCT
cana-1297	586	28	)	)	PUNCT
cana-1297	586	29	)	)	PUNCT
cana-1297	587	1	s	s	VERB
cana-1297	587	2	sx	sx	PROPN
cana-1297	587	3	a	a	DET
cana-1297	587	4	o	o	PROPN
cana-1297	588	1	z	z	X
cana-1297	588	2	s	s	PROPN
cana-1297	588	3	a	a	DET
cana-1297	588	4	o	o	PROPN
cana-1297	588	5	thus	thus	ADV
cana-1297	588	6	/	/	SYM
cana-1297	588	7	(	(	PUNCT
cana-1297	588	8	)	)	PUNCT
cana-1297	588	9	(	(	PUNCT
cana-1297	588	10	)	)	PUNCT
cana-1297	588	11	(	(	PUNCT
cana-1297	588	12	/	/	SYM
cana-1297	588	13	(	(	PUNCT
cana-1297	588	14	)	)	PUNCT
cana-1297	588	15	)	)	PUNCT
cana-1297	588	16	.	.	PUNCT
cana-1297	589	1	ss	ss	VERB
cana-1297	589	2	a	a	DET
cana-1297	589	3	o	o	X
cana-1297	589	4	sa	sa	NOUN
cana-1297	589	5	o	o	PROPN
cana-1297	590	1	z	z	X
cana-1297	590	2	s	s	PROPN
cana-1297	590	3	a	a	DET
cana-1297	590	4	o	o	NOUN
cana-1297	590	5	hence	hence	ADV
cana-1297	590	6	/	/	PUNCT
cana-1297	590	7	(	(	PUNCT
cana-1297	590	8	)	)	PUNCT
cana-1297	590	9	(	(	PUNCT
cana-1297	590	10	)	)	PUNCT
cana-1297	590	11	(	(	PUNCT
cana-1297	590	12	/	/	SYM
cana-1297	590	13	(	(	PUNCT
cana-1297	590	14	)	)	PUNCT
cana-1297	590	15	)	)	PUNCT
cana-1297	590	16	.	.	PUNCT
cana-1297	591	1	ss	ss	VERB
cana-1297	591	2	a	a	DET
cana-1297	591	3	o	o	X
cana-1297	591	4	sa	sa	NOUN
cana-1297	591	5	o	o	PROPN
cana-1297	592	1	z	z	X
cana-1297	592	2	s	s	PROPN
cana-1297	592	3	a	a	DET
cana-1297	592	4	o	o	ADJ
cana-1297	592	5	proposition3.10	proposition3.10	NOUN
cana-1297	592	6	:	:	PUNCT
cana-1297	592	7	a	a	DET
cana-1297	592	8	tгss	tгss	NOUN
cana-1297	592	9	‘	'	PUNCT
cana-1297	592	10	o	o	NOUN
cana-1297	592	11	’	'	PUNCT
cana-1297	592	12	&	&	CCONJ
cana-1297	592	13	r	r	NOUN
cana-1297	592	14	exist	exist	VERB
cana-1297	592	15	as	as	ADP
cana-1297	592	16	ros	ros	PROPN
cana-1297	592	17	.	.	PUNCT
cana-1297	593	1	afterward	afterward	ADV
cana-1297	593	2	(	(	PUNCT
cana-1297	593	3	i	i	NOUN
cana-1297	593	4	)	)	PUNCT
cana-1297	593	5	(	(	PUNCT
cana-1297	593	6	)	)	PUNCT
cana-1297	593	7	*	*	PUNCT
cana-1297	593	8	(	(	PUNCT
cana-1297	593	9	)	)	PUNCT
cana-1297	593	10	&	&	CCONJ
cana-1297	593	11	(	(	PUNCT
cana-1297	593	12	)	)	PUNCT
cana-1297	593	13	*	*	PUNCT
cana-1297	593	14	(	(	PUNCT
cana-1297	593	15	)	)	PUNCT
cana-1297	593	16	;	;	PUNCT
cana-1297	593	17	s	s	X
cana-1297	593	18	r	r	NOUN
cana-1297	593	19	r	r	NOUN
cana-1297	593	20	sa	sa	NOUN
cana-1297	593	21	o	o	NOUN
cana-1297	594	1	a	a	DET
cana-1297	594	2	o	o	NOUN
cana-1297	594	3	a	a	DET
cana-1297	594	4	o	o	NOUN
cana-1297	594	5	a	a	DET
cana-1297	594	6	o	o	NOUN
cana-1297	594	7	=	=	NOUN
cana-1297	594	8	=	=	PUNCT
cana-1297	594	9	anywhere	anywhere	ADV
cana-1297	594	10	m	m	VERB
cana-1297	594	11	is	be	AUX
cana-1297	594	12	an	an	DET
cana-1297	594	13	itгs	itгs	NOUN
cana-1297	594	14	-	-	PUNCT
cana-1297	594	15	s	s	X
cana-1297	594	16	(	(	PUNCT
cana-1297	594	17	ii	ii	NOUN
cana-1297	594	18	)	)	PUNCT
cana-1297	594	19	(	(	PUNCT
cana-1297	594	20	)	)	PUNCT
cana-1297	594	21	(	(	PUNCT
cana-1297	594	22	)	)	PUNCT
cana-1297	594	23	*	*	PUNCT
cana-1297	594	24	,	,	PUNCT
cana-1297	594	25	(	(	PUNCT
cana-1297	594	26	)	)	PUNCT
cana-1297	594	27	*	*	PUNCT
cana-1297	594	28	(	(	PUNCT
cana-1297	594	29	)	)	PUNCT
cana-1297	594	30	.s	.s	NOUN
cana-1297	595	1	r	r	NOUN
cana-1297	595	2	s	s	NOUN
cana-1297	595	3	r	r	NOUN
cana-1297	595	4	=	=	SYM
cana-1297	595	5			ADJ
cana-1297	595	6			X
cana-1297	595	7	=	=	SYM
cana-1297	595	8			ADJ
cana-1297	595	9	proof	proof	NOUN
cana-1297	595	10	:	:	PUNCT
cana-1297	595	11	(	(	PUNCT
cana-1297	595	12	)	)	PUNCT
cana-1297	595	13	*	*	PUNCT
cana-1297	595	14	{	{	PUNCT
cana-1297	595	15	[	[	PUNCT
cana-1297	595	16	,	,	PUNCT
cana-1297	595	17	]	]	X
cana-1297	595	18	:	:	PUNCT
cana-1297	595	19	(	(	PUNCT
cana-1297	595	20	[	[	PUNCT
cana-1297	595	21	,	,	PUNCT
cana-1297	595	22	]	]	X
cana-1297	595	23	)	)	PUNCT
cana-1297	595	24	(	(	PUNCT
cana-1297	595	25	)	)	PUNCT
cana-1297	595	26	}	}	PUNCT
cana-1297	595	27	{	{	PUNCT
cana-1297	595	28	[	[	PUNCT
cana-1297	595	29	,	,	PUNCT
cana-1297	595	30	]	]	X
cana-1297	595	31	:	:	PUNCT
cana-1297	595	32	(	(	PUNCT
cana-1297	595	33	[	[	PUNCT
cana-1297	595	34	,	,	PUNCT
cana-1297	595	35	]	]	X
cana-1297	595	36	)	)	PUNCT
cana-1297	595	37	(	(	PUNCT
cana-1297	595	38	)	)	PUNCT
cana-1297	595	39	}	}	PUNCT
cana-1297	595	40	{	{	PUNCT
cana-1297	595	41	[	[	PUNCT
cana-1297	595	42	,	,	PUNCT
cana-1297	595	43	]	]	X
cana-1297	595	44	:	:	PUNCT
cana-1297	595	45	(	(	PUNCT
cana-1297	595	46	[	[	PUNCT
cana-1297	595	47	,	,	PUNCT
cana-1297	595	48	]	]	X
cana-1297	595	49	)	)	PUNCT
cana-1297	595	50	{	{	PUNCT
cana-1297	595	51	0	0	NUM
cana-1297	595	52	}	}	PUNCT
cana-1297	595	53	}	}	PUNCT
cana-1297	595	54	(	(	PUNCT
cana-1297	595	55	)	)	PUNCT
cana-1297	595	56	.	.	PUNCT
cana-1297	596	1	(	(	PUNCT
cana-1297	596	2	)	)	PUNCT
cana-1297	596	3	*	*	PUNCT
cana-1297	596	4	{	{	PUNCT
cana-1297	596	5	:	:	PUNCT
cana-1297	596	6	[	[	PUNCT
cana-1297	596	7	,	,	PUNCT
cana-1297	596	8	]	]	X
cana-1297	596	9	(	(	PUNCT
cana-1297	596	10	)	)	PUNCT
cana-1297	596	11	}	}	PUNCT
cana-1297	596	12	{	{	PUNCT
cana-1297	596	13	:	:	PUNCT
cana-1297	596	14	[	[	PUNCT
cana-1297	596	15	,	,	PUNCT
cana-1297	596	16	]	]	X
cana-1297	596	17	{	{	PUNCT
cana-1297	596	18	0	0	NUM
cana-1297	596	19	}	}	PUNCT
cana-1297	596	20	}	}	PUNCT
cana-1297	596	21	{	{	PUNCT
cana-1297	596	22	:	:	PUNCT
cana-1297	596	23	{	{	PUNCT
cana-1297	596	24	0	0	NUM
cana-1297	596	25	}	}	PUNCT
cana-1297	596	26	}	}	PUNCT
cana-1297	596	27	(	(	PUNCT
cana-1297	596	28	)	)	PUNCT
cana-1297	596	29	.	.	PUNCT
cana-1297	597	1	s	s	VERB
cana-1297	597	2	i	i	PRON
cana-1297	598	1	i	i	PRON
cana-1297	598	2	i	i	PRON
cana-1297	599	1	i	i	PRON
cana-1297	599	2	s	s	VERB
cana-1297	600	1	i	i	PRON
cana-1297	601	1	i	i	PRON
cana-1297	602	1	i	i	PRON
cana-1297	603	1	i	i	PRON
cana-1297	604	1	i	i	PRON
cana-1297	605	1	i	i	PRON
cana-1297	605	2	s	s	VERB
cana-1297	606	1	i	i	PRON
cana-1297	607	1	i	i	PRON
cana-1297	608	1	i	i	PRON
cana-1297	609	1	i	i	PRON
cana-1297	610	1	i	i	INTJ
cana-1297	611	1	i	i	VERB
cana-1297	612	1	r	r	VERB
cana-1297	613	1	i	i	PRON
cana-1297	614	1	i	i	VERB
cana-1297	614	2	r	r	NOUN
cana-1297	614	3	r	r	NOUN
cana-1297	614	4	s	s	VERB
cana-1297	614	5	a	a	DET
cana-1297	614	6	o	o	NOUN
cana-1297	614	7	y	y	NOUN
cana-1297	614	8	r	r	NOUN
cana-1297	614	9	s	s	PROPN
cana-1297	614	10	y	y	PROPN
cana-1297	614	11	a	a	DET
cana-1297	614	12	o	o	X
cana-1297	614	13	y	y	NOUN
cana-1297	614	14	r	r	NOUN
cana-1297	614	15	o	o	PROPN
cana-1297	614	16	s	s	PROPN
cana-1297	614	17	t	t	X
cana-1297	614	18	y	y	PROPN
cana-1297	614	19	a	a	DET
cana-1297	614	20	o	o	X
cana-1297	614	21	y	y	NOUN
cana-1297	615	1	r	r	NOUN
cana-1297	615	2	m	m	VERB
cana-1297	615	3	y	y	NOUN
cana-1297	615	4	a	a	DET
cana-1297	615	5	o	o	NOUN
cana-1297	615	6	a	a	DET
cana-1297	615	7	o	o	X
cana-1297	615	8	y	y	PROPN
cana-1297	615	9	s	s	PROPN
cana-1297	615	10	t	t	PROPN
cana-1297	615	11	a	a	DET
cana-1297	615	12	o	o	X
cana-1297	615	13	y	y	PROPN
cana-1297	615	14	s	s	PROPN
cana-1297	615	15	o	o	X
cana-1297	615	16	t	t	X
cana-1297	615	17	y	y	PROPN
cana-1297	615	18	s	s	PROPN
cana-1297	615	19	o	o	X
cana-1297	615	20	t	t	X
cana-1297	615	21	y	y	PROPN
cana-1297	615	22	a	a	DET
cana-1297	615	23	o	o	X
cana-1297	615	24			X
cana-1297	615	25			X
cana-1297	615	26			PROPN
cana-1297	615	27			PROPN
cana-1297	616	1			PROPN
cana-1297	616	2			PROPN
cana-1297	617	1			PROPN
cana-1297	617	2	=	=	PUNCT
cana-1297	617	3			NOUN
cana-1297	617	4			PROPN
cana-1297	617	5	=	=	PROPN
cana-1297	617	6			NOUN
cana-1297	617	7			VERB
cana-1297	617	8			VERB
cana-1297	617	9			PROPN
cana-1297	617	10	=	=	PROPN
cana-1297	617	11			NOUN
cana-1297	617	12	=	=	PUNCT
cana-1297	617	13	=	=	SYM
cana-1297	617	14	=	=	SYM
cana-1297	617	15			NOUN
cana-1297	617	16			VERB
cana-1297	617	17			PROPN
cana-1297	617	18	=	=	PROPN
cana-1297	617	19			NOUN
cana-1297	617	20			NUM
cana-1297	617	21	=	=	SYM
cana-1297	617	22	=	=	SYM
cana-1297	617	23			NOUN
cana-1297	617	24			VERB
cana-1297	617	25			VERB
cana-1297	617	26	=	=	SYM
cana-1297	617	27	=	=	SYM
cana-1297	617	28			X
cana-1297	617	29			X
cana-1297	617	30			X
cana-1297	617	31			X
cana-1297	617	32			X
cana-1297	617	33			X
cana-1297	617	34	(	(	PUNCT
cana-1297	617	35	ii	ii	NOUN
cana-1297	617	36	)	)	PUNCT
cana-1297	617	37	via	via	ADP
cana-1297	617	38	known	know	VERB
cana-1297	617	39	6.14	6.14	NUM
cana-1297	617	40	-	-	SYM
cana-1297	617	41	1proposition	1proposition	NUM
cana-1297	617	42	&	&	CCONJ
cana-1297	617	43	zeroid	zeroid	NOUN
cana-1297	617	44	is	be	AUX
cana-1297	617	45	an	an	DET
cana-1297	617	46	‘	'	PUNCT
cana-1297	617	47	h	h	NOUN
cana-1297	617	48	-	-	PUNCT
cana-1297	617	49	ideal	ideal	NOUN
cana-1297	617	50	’	'	PUNCT
cana-1297	617	51	,	,	PUNCT
cana-1297	617	52	(	(	PUNCT
cana-1297	617	53	)	)	PUNCT
cana-1297	617	54	(	(	PUNCT
cana-1297	617	55	(	(	PUNCT
cana-1297	617	56	)	)	PUNCT
cana-1297	617	57	*	*	PUNCT
cana-1297	617	58	)	)	PUNCT
cana-1297	617	59	*	*	PUNCT
cana-1297	617	60	&	&	CCONJ
cana-1297	617	61	(	(	PUNCT
cana-1297	617	62	)	)	PUNCT
cana-1297	617	63	(	(	PUNCT
cana-1297	617	64	(	(	PUNCT
cana-1297	617	65	)	)	PUNCT
cana-1297	617	66	*	*	PUNCT
cana-1297	617	67	)	)	PUNCT
cana-1297	617	68	*	*	PUNCT
cana-1297	618	1	.s	.s	NOUN
cana-1297	618	2	s	s	PART
cana-1297	618	3	r	r	NOUN
cana-1297	618	4	r	r	NOUN
cana-1297	618	5			ADV
cana-1297	618	6	=	=	PUNCT
cana-1297	618	7			ADJ
cana-1297	618	8			X
cana-1297	618	9	=	=	SYM
cana-1297	618	10			NOUN
cana-1297	618	11	accordingly	accordingly	ADV
cana-1297	618	12	demonstrating	demonstrate	VERB
cana-1297	618	13	one	one	NUM
cana-1297	618	14	of	of	ADP
cana-1297	618	15	2	2	NUM
cana-1297	618	16	relations	relation	NOUN
cana-1297	618	17	is	be	AUX
cana-1297	618	18	adequate	adequate	ADJ
cana-1297	618	19	.	.	PUNCT
cana-1297	619	1	permit	permit	NOUN
cana-1297	619	2	(	(	PUNCT
cana-1297	619	3	)	)	PUNCT
cana-1297	619	4	*	*	PUNCT
cana-1297	619	5	.x	.x	PROPN
cana-1297	619	6	r	r	NOUN
cana-1297	619	7	subsequently	subsequently	ADV
cana-1297	619	8	(	(	PUNCT
cana-1297	619	9	)	)	PUNCT
cana-1297	619	10	[	[	PUNCT
cana-1297	619	11	,	,	PUNCT
cana-1297	619	12	]	]	X
cana-1297	619	13	r	r	NOUN
cana-1297	619	14	x	x	ADJ
cana-1297	619	15			PROPN
cana-1297	619	16			PROPN
cana-1297	619	17	(	(	PUNCT
cana-1297	619	18	)	)	PUNCT
cana-1297	619	19	(	(	PUNCT
cana-1297	619	20	)	)	PUNCT
cana-1297	619	21	.s	.s	NOUN
cana-1297	619	22	s	s	PART
cana-1297	619	23	x	x	SYM
cana-1297	619	24	s	s	NOUN
cana-1297	619	25	r	r	NOUN
cana-1297	619	26	s	s	NOUN
cana-1297	619	27			VERB
cana-1297	619	28			VERB
cana-1297	619	29			PROPN
cana-1297	619	30			PROPN
cana-1297	619	31			PROPN
cana-1297	619	32			PROPN
cana-1297	619	33	s	s	PRON
cana-1297	619	34	have	have	AUX
cana-1297	619	35	‘	'	PUNCT
cana-1297	619	36	left	leave	VERB
cana-1297	619	37	unity	unity	NOUN
cana-1297	619	38	’	'	PUNCT
cana-1297	619	39	,	,	PUNCT
cana-1297	619	40	(	(	PUNCT
cana-1297	619	41	)	)	PUNCT
cana-1297	619	42	.x	.x	PROPN
cana-1297	619	43	s	s	NOUN
cana-1297	619	44	(	(	PUNCT
cana-1297	619	45	)	)	PUNCT
cana-1297	619	46	*	*	PUNCT
cana-1297	619	47	(	(	PUNCT
cana-1297	619	48	)	)	PUNCT
cana-1297	619	49	.r	.r	NOUN
cana-1297	620	1	s	s	ADJ
cana-1297	620	2			PROPN
cana-1297	620	3			PROPN
cana-1297	620	4			PROPN
cana-1297	620	5	now	now	ADV
cana-1297	620	6	let	let	VERB
cana-1297	620	7	1	1	NUM
cana-1297	620	8	[	[	PUNCT
cana-1297	620	9	,	,	PUNCT
cana-1297	620	10	]	]	X
cana-1297	620	11	[	[	PUNCT
cana-1297	620	12	,	,	PUNCT
cana-1297	620	13	(	(	PUNCT
cana-1297	620	14	)	)	PUNCT
cana-1297	620	15	]	]	PUNCT
cana-1297	621	1	m	m	VERB
cana-1297	621	2	i	i	INTJ
cana-1297	622	1	i	i	PRON
cana-1297	623	1	i	i	VERB
cana-1297	623	2	x	x	VERB
cana-1297	623	3	s	s	PROPN
cana-1297	623	4	=	=	PUNCT
cana-1297	623	5			NOUN
cana-1297	623	6			VERB
cana-1297	623	7			NOUN
cana-1297	624	1	wherever	wherever	SCONJ
cana-1297	624	2	1	1	NUM
cana-1297	624	3	,	,	PUNCT
cana-1297	624	4	2,3	2,3	NUM
cana-1297	624	5	,	,	PUNCT
cana-1297	624	6	4	4	NUM
cana-1297	624	7	,	,	PUNCT
cana-1297	624	8	....	....	PUNCT
cana-1297	624	9	,	,	PUNCT
cana-1297	624	10	(	(	PUNCT
cana-1297	624	11	)	)	PUNCT
cana-1297	624	12	.ii	.ii	PUNCT
cana-1297	625	1	m	m	VERB
cana-1297	625	2	x	x	X
cana-1297	625	3	s	s	PROPN
cana-1297	625	4	=	=	PUNCT
cana-1297	625	5			PROPN
cana-1297	625	6	i	i	PRON
cana-1297	625	7	i	i	PRON
cana-1297	625	8	ix	ix	ADP
cana-1297	625	9	z	z	PROPN
cana-1297	625	10	z	z	PROPN
cana-1297	625	11	+	+	CCONJ
cana-1297	626	1	=	=	SYM
cana-1297	626	2	for	for	ADP
cana-1297	626	3	some	some	PRON
cana-1297	626	4	.iz	.iz	PUNCT
cana-1297	627	1	s	s	ADJ
cana-1297	627	2	1	1	NUM
cana-1297	627	3	1	1	NUM
cana-1297	627	4	1	1	NUM
cana-1297	627	5	1	1	NUM
cana-1297	627	6	[	[	PUNCT
cana-1297	627	7	,	,	PUNCT
cana-1297	627	8	]	]	X
cana-1297	627	9	[	[	PUNCT
cana-1297	627	10	,	,	PUNCT
cana-1297	627	11	]	]	X
cana-1297	627	12	[	[	PUNCT
cana-1297	627	13	,	,	PUNCT
cana-1297	627	14	]	]	PUNCT
cana-1297	627	15	1,2,3,4	1,2,3,4	NUM
cana-1297	627	16	....	....	PUNCT
cana-1297	627	17	.	.	PUNCT
cana-1297	628	1	[	[	PUNCT
cana-1297	628	2	,	,	PUNCT
cana-1297	628	3	]	]	X
cana-1297	628	4	[	[	PUNCT
cana-1297	628	5	,	,	PUNCT
cana-1297	628	6	]	]	X
cana-1297	628	7	[	[	PUNCT
cana-1297	628	8	,	,	PUNCT
cana-1297	628	9	]	]	X
cana-1297	628	10	[	[	PUNCT
cana-1297	628	11	,	,	PUNCT
cana-1297	628	12	]	]	PUNCT
cana-1297	628	13	.	.	PUNCT
cana-1297	629	1	i	i	PRON
cana-1297	629	2	i	i	PRON
cana-1297	630	1	i	i	PRON
cana-1297	630	2	i	i	PRON
cana-1297	631	1	i	i	PRON
cana-1297	632	1	i	i	PRON
cana-1297	632	2	m	m	VERB
cana-1297	632	3	m	m	VERB
cana-1297	632	4	m	m	VERB
cana-1297	632	5	i	i	PRON
cana-1297	633	1	i	i	PRON
cana-1297	633	2	i	i	PRON
cana-1297	634	1	i	i	PRON
cana-1297	635	1	i	i	PRON
cana-1297	635	2	ii	ii	VERB
cana-1297	636	1	i	i	PRON
cana-1297	636	2	i	i	PRON
cana-1297	636	3	m	m	VERB
cana-1297	636	4	i	i	VERB
cana-1297	636	5	ii	ii	NOUN
cana-1297	636	6	x	x	SYM
cana-1297	636	7	z	z	NOUN
cana-1297	636	8	z	z	NOUN
cana-1297	637	1	i	i	PRON
cana-1297	637	2	m	m	VERB
cana-1297	637	3	x	x	X
cana-1297	638	1	z	z	NOUN
cana-1297	638	2	z	z	NOUN
cana-1297	639	1	where	where	SCONJ
cana-1297	639	2	z	z	NOUN
cana-1297	639	3	r	r	NOUN
cana-1297	639	4			X
cana-1297	639	5			X
cana-1297	639	6			PROPN
cana-1297	639	7			PROPN
cana-1297	639	8			X
cana-1297	639	9			X
cana-1297	639	10			X
cana-1297	640	1	=	=	PUNCT
cana-1297	640	2	=	=	PUNCT
cana-1297	641	1	=	=	PUNCT
cana-1297	641	2	=	=	PUNCT
cana-1297	642	1	+	+	PUNCT
cana-1297	642	2	=	=	SYM
cana-1297	642	3			NOUN
cana-1297	642	4	=	=	SYM
cana-1297	642	5			NOUN
cana-1297	642	6	+	+	PROPN
cana-1297	642	7	=	=	NOUN
cana-1297	642	8			NOUN
cana-1297	642	9			X
cana-1297	642	10			X
cana-1297	642	11			X
cana-1297	642	12			X
cana-1297	642	13	1	1	NUM
cana-1297	642	14	[	[	PUNCT
cana-1297	642	15	,	,	PUNCT
cana-1297	642	16	]	]	X
cana-1297	642	17	(	(	PUNCT
cana-1297	642	18	)	)	PUNCT
cana-1297	642	19	m	m	VERB
cana-1297	643	1	i	i	INTJ
cana-1297	643	2	ii	ii	VERB
cana-1297	643	3	z	z	NOUN
cana-1297	643	4	z	z	NOUN
cana-1297	643	5	r	r	PROPN
cana-1297	643	6	=	=	PROPN
cana-1297	643	7			PROPN
cana-1297	643	8	&	&	CCONJ
cana-1297	643	9	[	[	PUNCT
cana-1297	643	10	,	,	PUNCT
cana-1297	643	11	(	(	PUNCT
cana-1297	643	12	)	)	PUNCT
cana-1297	643	13	]	]	PUNCT
cana-1297	643	14	(	(	PUNCT
cana-1297	643	15	)	)	PUNCT
cana-1297	643	16	.z	.z	PROPN
cana-1297	644	1	s	s	PART
cana-1297	644	2	z	z	NOUN
cana-1297	645	1	r	r	PROPN
cana-1297	645	2			PROPN
cana-1297	645	3	(	(	PUNCT
cana-1297	645	4	)	)	PUNCT
cana-1297	645	5	*	*	PUNCT
cana-1297	645	6	(	(	PUNCT
cana-1297	645	7	)	)	PUNCT
cana-1297	645	8	z	z	NOUN
cana-1297	645	9	r	r	NOUN
cana-1297	645	10	z	z	NOUN
cana-1297	645	11	s	s	PROPN
cana-1297	645	12			PROPN
cana-1297	645	13	(	(	PUNCT
cana-1297	645	14	)	)	PUNCT
cana-1297	645	15	(	(	PUNCT
cana-1297	645	16	)	)	PUNCT
cana-1297	646	1	*	*	PUNCT
cana-1297	646	2	.z	.z	NOUN
cana-1297	646	3	s	s	PART
cana-1297	646	4	z	z	NOUN
cana-1297	646	5	r	r	NOUN
cana-1297	646	6	=	=	SYM
cana-1297	646	7	proposition3.11	proposition3.11	NOUN
cana-1297	646	8	:	:	PUNCT
cana-1297	646	9	let	let	VERB
cana-1297	646	10	s	s	PRON
cana-1297	646	11	be	be	AUX
cana-1297	646	12	a	a	DET
cana-1297	646	13	tг	tг	NOUN
cana-1297	646	14	-	-	PUNCT
cana-1297	646	15	s	s	NOUN
cana-1297	646	16	moreover	moreover	ADV
cana-1297	646	17	r	r	NOUN
cana-1297	646	18	exist	exist	VERB
cana-1297	646	19	its	its	PRON
cana-1297	646	20	ros	ro	NOUN
cana-1297	646	21	.	.	PUNCT
cana-1297	647	1	afterward	afterward	ADV
cana-1297	647	2	o	o	NOUN
cana-1297	647	3	is	be	AUX
cana-1297	647	4	a	a	DET
cana-1297	647	5	ftгs	ftгs	NOUN
cana-1297	647	6	-	-	PUNCT
cana-1297	647	7	s	s	PART
cana-1297	647	8	iff	iff	PROPN
cana-1297	647	9	o	o	NOUN
cana-1297	647	10	is	be	AUX
cana-1297	647	11	a	a	DET
cana-1297	647	12	fi	fi	NOUN
cana-1297	647	13	r	r	NOUN
cana-1297	647	14	-	-	PUNCT
cana-1297	647	15	s.	s.	PROPN
cana-1297	647	16	proof	proof	NOUN
cana-1297	647	17	:	:	PUNCT
cana-1297	647	18	let	let	VERB
cana-1297	647	19	o	o	NOUN
cana-1297	647	20	be	be	AUX
cana-1297	647	21	a	a	DET
cana-1297	647	22	ftгs	ftгs	NOUN
cana-1297	647	23	-	-	PUNCT
cana-1297	647	24	s.	s.	PROPN
cana-1297	647	25	subsequently	subsequently	ADV
cana-1297	647	26	via	via	ADP
cana-1297	647	27	proposition	proposition	NOUN
cana-1297	647	28	3.8	3.8	NUM
cana-1297	647	29	,	,	PUNCT
cana-1297	647	30	o	o	NOUN
cana-1297	647	31	is	be	AUX
cana-1297	647	32	an	an	DET
cana-1297	647	33	itгs	itгs	NOUN
cana-1297	647	34	-	-	PUNCT
cana-1297	647	35	s.	s.	PROPN
cana-1297	647	36	over	over	ADP
cana-1297	647	37	(	(	PUNCT
cana-1297	647	38	)	)	PUNCT
cana-1297	647	39	(	(	PUNCT
cana-1297	647	40	)	)	PUNCT
cana-1297	647	41	.sa	.sa	PUNCT
cana-1297	648	1	o	o	NOUN
cana-1297	648	2	z	z	PROPN
cana-1297	648	3	s=	s=	PROPN
cana-1297	648	4	(	(	PUNCT
cana-1297	648	5	)	)	PUNCT
cana-1297	648	6	*	*	PUNCT
cana-1297	648	7	(	(	PUNCT
cana-1297	648	8	)	)	PUNCT
cana-1297	648	9	*	*	PUNCT
cana-1297	648	10	.sa	.sa	PUNCT
cana-1297	649	1	o	o	NOUN
cana-1297	649	2	z	z	NOUN
cana-1297	649	3	s	s	NOUN
cana-1297	649	4			NOUN
cana-1297	649	5	=	=	PUNCT
cana-1297	649	6	via	via	ADP
cana-1297	649	7	3.10	3.10	NUM
cana-1297	649	8	-	-	PUNCT
cana-1297	649	9	proposition	proposition	NOUN
cana-1297	649	10	,	,	PUNCT
cana-1297	649	11	(	(	PUNCT
cana-1297	649	12	)	)	PUNCT
cana-1297	649	13	(	(	PUNCT
cana-1297	649	14	)	)	PUNCT
cana-1297	649	15	.ra	.ra	PUNCT
cana-1297	650	1	o	o	NOUN
cana-1297	650	2	z	z	NOUN
cana-1297	651	1	r=	r=	NOUN
cana-1297	651	2	therefore	therefore	ADV
cana-1297	651	3	o	o	PROPN
cana-1297	651	4	is	be	AUX
cana-1297	651	5	a	a	DET
cana-1297	651	6	fitгs	fitгs	NOUN
cana-1297	651	7	-	-	PUNCT
cana-1297	651	8	s.	s.	PROPN
cana-1297	651	9	speak	speak	PROPN
cana-1297	651	10	follows	follow	VERB
cana-1297	651	11	by	by	ADP
cana-1297	651	12	switching	switch	VERB
cana-1297	651	13	the	the	DET
cana-1297	651	14	above	above	ADJ
cana-1297	651	15	contention	contention	NOUN
cana-1297	651	16	.	.	PUNCT
cana-1297	652	1	communications	communication	NOUN
cana-1297	652	2	on	on	ADP
cana-1297	652	3	applied	apply	VERB
cana-1297	652	4	nonlinear	nonlinear	ADJ
cana-1297	652	5	analysis	analysis	NOUN
cana-1297	652	6	issn	issn	NOUN
cana-1297	652	7	:	:	PUNCT
cana-1297	652	8	1074	1074	NUM
cana-1297	652	9	-	-	PUNCT
cana-1297	652	10	133x	133x	NUM
cana-1297	652	11	vol	vol	NOUN
cana-1297	652	12	31	31	NUM
cana-1297	652	13	no	no	NOUN
cana-1297	652	14	.	.	PUNCT
cana-1297	653	1	7s	7	NOUN
cana-1297	653	2	(	(	PUNCT
cana-1297	653	3	2024	2024	NUM
cana-1297	653	4	)	)	PUNCT
cana-1297	653	5	229	229	NUM
cana-1297	653	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1297	653	7	definition3.12	definition3.12	NOUN
cana-1297	653	8	:	:	PUNCT
cana-1297	653	9	a	a	DET
cana-1297	653	10	tг	tг	NOUN
cana-1297	653	11	-	-	SYM
cana-1297	653	12	s	s	X
cana-1297	653	13	s	s	NOUN
cana-1297	653	14	is	be	AUX
cana-1297	653	15	known	know	VERB
cana-1297	653	16	to	to	PART
cana-1297	653	17	be	be	AUX
cana-1297	653	18	primitive	primitive	ADJ
cana-1297	653	19	if	if	SCONJ
cana-1297	653	20	it	it	PRON
cana-1297	653	21	has	have	VERB
cana-1297	653	22	a	a	DET
cana-1297	653	23	ftгs	ftгs	PROPN
cana-1297	653	24	-	-	PUNCT
cana-1297	653	25	s.	s.	PROPN
cana-1297	653	26	p	p	PROPN
cana-1297	653	27	is	be	AUX
cana-1297	653	28	an	an	DET
cana-1297	653	29	‘	'	PUNCT
cana-1297	653	30	ideal	ideal	ADJ
cana-1297	653	31	’	'	PUNCT
cana-1297	653	32	of	of	ADP
cana-1297	653	33	s	s	PROPN
cana-1297	653	34	is	be	AUX
cana-1297	653	35	entitled	entitle	VERB
cana-1297	653	36	primitive	primitive	ADJ
cana-1297	653	37	if	if	SCONJ
cana-1297	653	38	the	the	DET
cana-1297	653	39	bourne	bourne	NOUN
cana-1297	653	40	factor	factor	NOUN
cana-1297	653	41	tгs	tгs	NOUN
cana-1297	653	42	(	(	PUNCT
cana-1297	653	43	/	/	SYM
cana-1297	653	44	)	)	PUNCT
cana-1297	653	45	s	s	PART
cana-1297	653	46	p	p	NOUN
cana-1297	653	47	is	be	AUX
cana-1297	653	48	primitive	primitive	ADJ
cana-1297	653	49	.	.	PUNCT
cana-1297	654	1	so	so	ADV
cana-1297	654	2	a	a	DET
cana-1297	654	3	tгs	tгs	NOUN
cana-1297	654	4	s	s	VERB
cana-1297	654	5	is	be	AUX
cana-1297	654	6	‘	'	PUNCT
cana-1297	654	7	primitive	primitive	ADJ
cana-1297	654	8	’	'	PUNCT
cana-1297	654	9	if	if	SCONJ
cana-1297	654	10	{	{	PUNCT
cana-1297	654	11	0	0	NUM
cana-1297	654	12	}	}	PUNCT
cana-1297	654	13	is	be	AUX
cana-1297	654	14	a	a	DET
cana-1297	654	15	pi	pi	NOUN
cana-1297	654	16	.	.	PUNCT
cana-1297	655	1	lemma3.13	lemma3.13	NOUN
cana-1297	655	2	:	:	PUNCT
cana-1297	655	3	a	a	DET
cana-1297	655	4	tг	tг	PROPN
cana-1297	655	5	-	-	PUNCT
cana-1297	655	6	s	s	X
cana-1297	655	7	‘s	‘s	NOUN
cana-1297	655	8	’	'	PUNCT
cana-1297	655	9	&	&	CCONJ
cana-1297	655	10	r	r	NOUN
cana-1297	655	11	is	be	AUX
cana-1297	655	12	its	its	PRON
cana-1297	655	13	ros	ros	PROPN
cana-1297	655	14	‘	'	PUNCT
cana-1297	655	15	q	q	X
cana-1297	655	16	’	'	PUNCT
cana-1297	655	17	be	be	AUX
cana-1297	655	18	a	a	DET
cana-1297	655	19	proper	proper	ADJ
cana-1297	655	20	ideal	ideal	NOUN
cana-1297	655	21	of	of	ADP
cana-1297	655	22	s.	s.	PROPN
cana-1297	655	23	subsequently	subsequently	ADV
cana-1297	655	24	(	(	PUNCT
cana-1297	655	25	/	/	SYM
cana-1297	655	26	)	)	PUNCT
cana-1297	655	27	,	,	PUNCT
cana-1297	655	28	/	/	PUNCT
cana-1297	656	1	*	*	PUNCT
cana-1297	656	2	r	r	NOUN
cana-1297	656	3	s	s	NOUN
cana-1297	656	4	q	q	NOUN
cana-1297	656	5	r	r	NOUN
cana-1297	656	6	q	q	PUNCT
cana-1297	657	1			ADJ
cana-1297	657	2	are	be	AUX
cana-1297	657	3	isomorphic	isomorphic	ADJ
cana-1297	657	4	,	,	PUNCT
cana-1297	657	5	anywhere	anywhere	ADV
cana-1297	657	6	(	(	PUNCT
cana-1297	657	7	/	/	SYM
cana-1297	657	8	)	)	PUNCT
cana-1297	657	9	r	r	NOUN
cana-1297	657	10	s	s	NOUN
cana-1297	657	11	q	q	NOUN
cana-1297	657	12	is	be	AUX
cana-1297	657	13	the	the	DET
cana-1297	657	14	ros	ros	PROPN
cana-1297	657	15	of	of	ADP
cana-1297	657	16	the	the	DET
cana-1297	657	17	bourne	bourne	NOUN
cana-1297	657	18	factor	factor	NOUN
cana-1297	657	19	tгs	tгs	PROPN
cana-1297	657	20	s	s	PROPN
cana-1297	657	21	/	/	SYM
cana-1297	657	22	q.	q.	PROPN
cana-1297	657	23	proposition3.14	proposition3.14	PROPN
cana-1297	657	24	:	:	PUNCT
cana-1297	657	25	let	let	VERB
cana-1297	657	26	s	s	PRON
cana-1297	657	27	be	be	AUX
cana-1297	657	28	a	a	DET
cana-1297	657	29	tг	tг	PROPN
cana-1297	657	30	-	-	PUNCT
cana-1297	657	31	s	s	NOUN
cana-1297	657	32	&	&	CCONJ
cana-1297	657	33	r	r	NOUN
cana-1297	657	34	be	be	VERB
cana-1297	657	35	its	its	PRON
cana-1297	657	36	ros	ro	NOUN
cana-1297	657	37	.	.	PUNCT
cana-1297	658	1	if	if	SCONJ
cana-1297	658	2	p	p	NOUN
cana-1297	658	3	is	be	AUX
cana-1297	658	4	a	a	DET
cana-1297	658	5	pi	pi	NOUN
cana-1297	658	6	of	of	ADP
cana-1297	658	7	s	s	PRON
cana-1297	658	8	followed	follow	VERB
cana-1297	658	9	by	by	ADP
cana-1297	658	10	a	a	DET
cana-1297	658	11	pi	pi	NOUN
cana-1297	658	12	*	*	PUNCT
cana-1297	658	13	p	p	NOUN
cana-1297	658	14			ADJ
cana-1297	658	15	of	of	ADP
cana-1297	658	16	r.	r.	PROPN
cana-1297	658	17	proof	proof	NOUN
cana-1297	658	18	:	:	PUNCT
cana-1297	658	19	permit	permit	NOUN
cana-1297	658	20	p	p	NOUN
cana-1297	658	21	be	be	AUX
cana-1297	658	22	a	a	DET
cana-1297	658	23	pi	pi	NOUN
cana-1297	658	24	of	of	ADP
cana-1297	658	25	s.	s.	PROPN
cana-1297	658	26	afterward	afterward	PROPN
cana-1297	658	27	s	s	PART
cana-1297	658	28	/	/	SYM
cana-1297	658	29	p	p	PRON
cana-1297	658	30	is	be	AUX
cana-1297	658	31	a	a	DET
cana-1297	658	32	‘	'	PUNCT
cana-1297	658	33	primitive	primitive	ADJ
cana-1297	658	34	’	'	PUNCT
cana-1297	658	35	tгs	tгs	NOUN
cana-1297	658	36	.	.	PUNCT
cana-1297	659	1	an	an	NOUN
cana-1297	659	2	irreducible	irreducible	ADJ
cana-1297	659	3	faithfuly	faithfuly	NOUN
cana-1297	659	4	(	(	PUNCT
cana-1297	659	5	/	/	SYM
cana-1297	659	6	)	)	PUNCT
cana-1297	659	7	s	s	PART
cana-1297	659	8	p	p	PROPN
cana-1297	659	9	-semimodule	-semimodule	PROPN
cana-1297	659	10	o.	o.	NOUN
cana-1297	659	11	o	o	PROPN
cana-1297	659	12	is	be	AUX
cana-1297	659	13	a	a	DET
cana-1297	659	14	faithful	faithful	ADJ
cana-1297	659	15	irreducible	irreducible	ADJ
cana-1297	659	16	(	(	PUNCT
cana-1297	659	17	/	/	SYM
cana-1297	659	18	)	)	PUNCT
cana-1297	659	19	r	r	NOUN
cana-1297	659	20	s	s	NOUN
cana-1297	659	21	q	q	NOUN
cana-1297	659	22	semimodule	semimodule	NOUN
cana-1297	659	23	via	via	ADP
cana-1297	659	24	3.11	3.11	NUM
cana-1297	659	25	-	-	PUNCT
cana-1297	659	26	proposition	proposition	NOUN
cana-1297	659	27	wherever	wherever	SCONJ
cana-1297	659	28	(	(	PUNCT
cana-1297	659	29	/	/	SYM
cana-1297	659	30	)	)	PUNCT
cana-1297	659	31	r	r	NOUN
cana-1297	659	32	s	s	AUX
cana-1297	659	33	q	q	NOUN
cana-1297	659	34	is	be	AUX
cana-1297	659	35	the	the	DET
cana-1297	659	36	ros	ros	PROPN
cana-1297	659	37	of	of	ADP
cana-1297	659	38	(	(	PUNCT
cana-1297	659	39	/	/	SYM
cana-1297	659	40	)	)	PUNCT
cana-1297	659	41	s	s	PART
cana-1297	659	42	p	p	NOUN
cana-1297	659	43	.	.	PUNCT
cana-1297	659	44	/	/	PUNCT
cana-1297	660	1	*	*	PUNCT
cana-1297	660	2	,	,	PUNCT
cana-1297	660	3	(	(	PUNCT
cana-1297	660	4	/	/	SYM
cana-1297	660	5	)	)	PUNCT
cana-1297	660	6	r	r	NOUN
cana-1297	660	7	p	p	NOUN
cana-1297	660	8	r	r	NOUN
cana-1297	660	9	s	s	NOUN
cana-1297	660	10	p	p	NOUN
cana-1297	660	11	are	be	AUX
cana-1297	660	12	isomorphic(3.13	isomorphic(3.13	X
cana-1297	660	13	-	-	PUNCT
cana-1297	660	14	lemma	lemma	PROPN
cana-1297	660	15	)	)	PUNCT
cana-1297	660	16	,	,	PUNCT
cana-1297	660	17	o	o	PROPN
cana-1297	660	18	is	be	AUX
cana-1297	660	19	a	a	DET
cana-1297	660	20	fi	fi	NOUN
cana-1297	660	21	(	(	PUNCT
cana-1297	660	22	/	/	SYM
cana-1297	660	23	*	*	PUNCT
cana-1297	660	24	)	)	PUNCT
cana-1297	660	25	r	r	NOUN
cana-1297	660	26	p	p	PROPN
cana-1297	661	1			ADJ
cana-1297	661	2	-s	-s	INTJ
cana-1297	661	3	.	.	PUNCT
cana-1297	661	4	accordingly	accordingly	ADV
cana-1297	661	5	,	,	PUNCT
cana-1297	661	6	/	/	PUNCT
cana-1297	662	1	*	*	PUNCT
cana-1297	662	2	r	r	NOUN
cana-1297	662	3	p	p	NOUN
cana-1297	662	4			ADJ
cana-1297	662	5	is	be	AUX
cana-1297	662	6	a	a	DET
cana-1297	662	7	‘	'	PUNCT
cana-1297	662	8	primitive	primitive	ADJ
cana-1297	662	9	semiring	semiring	NOUN
cana-1297	662	10	’	'	PUNCT
cana-1297	662	11	(	(	PUNCT
cana-1297	662	12	[	[	X
cana-1297	662	13	6	6	NUM
cana-1297	662	14	]	]	NUM
cana-1297	662	15	)	)	PUNCT
cana-1297	662	16	,	,	PUNCT
cana-1297	662	17	ie	ie	X
cana-1297	662	18	.	.	PUNCT
cana-1297	662	19	,	,	PUNCT
cana-1297	662	20	*	*	PUNCT
cana-1297	662	21	p	p	NOUN
cana-1297	662	22			ADJ
cana-1297	662	23	is	be	AUX
cana-1297	662	24	pi	pi	NOUN
cana-1297	662	25	.	.	PUNCT
cana-1297	663	1	proposition	proposition	NOUN
cana-1297	663	2	3.15	3.15	NUM
cana-1297	663	3	a	a	DET
cana-1297	663	4	tг	tг	PROPN
cana-1297	663	5	-	-	PUNCT
cana-1297	663	6	s	s	NOUN
cana-1297	663	7	‘s	‘s	NOUN
cana-1297	663	8	’	'	PUNCT
cana-1297	663	9	&	&	CCONJ
cana-1297	663	10	r	r	NOUN
cana-1297	663	11	exist	exist	VERB
cana-1297	663	12	its	its	PRON
cana-1297	663	13	ros	ro	NOUN
cana-1297	663	14	.	.	PUNCT
cana-1297	664	1	if	if	SCONJ
cana-1297	664	2	u	u	PRON
cana-1297	664	3	is	be	AUX
cana-1297	664	4	a	a	DET
cana-1297	664	5	pi	pi	NOUN
cana-1297	664	6	of	of	ADP
cana-1297	664	7	r	r	NOUN
cana-1297	664	8	afterward	afterward	ADV
cana-1297	664	9	*	*	VERB
cana-1297	664	10	u	u	PROPN
cana-1297	664	11			ADJ
cana-1297	664	12	is	be	AUX
cana-1297	664	13	a	a	DET
cana-1297	664	14	pi	pi	NOUN
cana-1297	664	15	of	of	ADP
cana-1297	664	16	s.	s.	PROPN
cana-1297	664	17	proof	proof	PROPN
cana-1297	664	18	:	:	PUNCT
cana-1297	664	19	presume	presume	VERB
cana-1297	664	20	u	u	NOUN
cana-1297	664	21	is	be	AUX
cana-1297	664	22	a	a	DET
cana-1297	664	23	pi	pi	NOUN
cana-1297	664	24	of	of	ADP
cana-1297	664	25	r.	r.	PROPN
cana-1297	664	26	subsequently	subsequently	ADV
cana-1297	664	27	r	r	NOUN
cana-1297	664	28	/	/	SYM
cana-1297	664	29	u	u	NOUN
cana-1297	664	30	is	be	AUX
cana-1297	664	31	a	a	DET
cana-1297	664	32	‘	'	PUNCT
cana-1297	664	33	primitive	primitive	ADJ
cana-1297	664	34	ternary	ternary	ADJ
cana-1297	664	35	semiring	semiring	NOUN
cana-1297	664	36	’	'	PUNCT
cana-1297	664	37	.	.	PUNCT
cana-1297	665	1	accordingly	accordingly	ADV
cana-1297	665	2	,	,	PUNCT
cana-1297	665	3			PROPN
cana-1297	665	4	a	a	DET
cana-1297	665	5	fi	fi	NOUN
cana-1297	665	6	/r	/r	NOUN
cana-1297	665	7	u	u	NOUN
cana-1297	665	8	s	s	PART
cana-1297	665	9	‘	'	PUNCT
cana-1297	665	10	o	o	NOUN
cana-1297	665	11	’	'	PUNCT
cana-1297	665	12	.	.	PUNCT
cana-1297	666	1	o	o	NOUN
cana-1297	666	2	is	be	AUX
cana-1297	666	3	a	a	DET
cana-1297	666	4	faithful	faithful	ADJ
cana-1297	666	5	irreducible	irreducible	NOUN
cana-1297	666	6	(	(	PUNCT
cana-1297	666	7	/	/	SYM
cana-1297	666	8	*	*	PUNCT
cana-1297	666	9	)	)	PUNCT
cana-1297	666	10	s	s	PART
cana-1297	666	11	u	u	NOUN
cana-1297	666	12	-semimodule	-semimodule	NOUN
cana-1297	666	13	via	via	ADP
cana-1297	666	14	3.11	3.11	NUM
cana-1297	666	15	-	-	PUNCT
cana-1297	666	16	proposition	proposition	NOUN
cana-1297	666	17	,	,	PUNCT
cana-1297	666	18	so	so	ADV
cana-1297	666	19	/	/	PUNCT
cana-1297	667	1	*	*	PUNCT
cana-1297	667	2	s	s	NOUN
cana-1297	667	3	u	u	NOUN
cana-1297	667	4	is	be	AUX
cana-1297	667	5	a	a	DET
cana-1297	667	6	primitive	primitive	ADJ
cana-1297	667	7	tгs	tгs	NOUN
cana-1297	667	8	,	,	PUNCT
cana-1297	667	9	where	where	SCONJ
cana-1297	667	10	u	u	NOUN
cana-1297	667	11	*	*	PROPN
cana-1297	667	12	is	be	AUX
cana-1297	667	13	a	a	DET
cana-1297	667	14	pi	pi	NOUN
cana-1297	667	15	of	of	ADP
cana-1297	667	16	the	the	DET
cana-1297	667	17	tгs	tгs	PROPN
cana-1297	667	18	s.	s.	PROPN
cana-1297	667	19	from	from	ADP
cana-1297	667	20	the	the	DET
cana-1297	667	21	over	over	ADP
cana-1297	667	22	two	two	NUM
cana-1297	667	23	recommendations	recommendation	NOUN
cana-1297	667	24	&	&	CCONJ
cana-1297	667	25	hypothesis	hypothesis	NOUN
cana-1297	667	26	6.6([1	6.6([1	NOUN
cana-1297	667	27	]	]	PUNCT
cana-1297	667	28	)	)	PUNCT
cana-1297	667	29	the	the	DET
cana-1297	667	30	accompanying	accompanying	ADJ
cana-1297	667	31	hypothesis	hypothesis	NOUN
cana-1297	667	32	follows	follow	VERB
cana-1297	667	33	without	without	ADP
cana-1297	667	34	any	any	DET
cana-1297	667	35	problem	problem	NOUN
cana-1297	667	36	:	:	PUNCT
cana-1297	667	37	theorem3.17	theorem3.17	PROPN
cana-1297	667	38	:	:	PUNCT
cana-1297	667	39	let	let	VERB
cana-1297	667	40	s	s	PRON
cana-1297	667	41	be	be	AUX
cana-1297	667	42	a	a	DET
cana-1297	667	43	tг	tг	PROPN
cana-1297	667	44	-	-	PUNCT
cana-1297	667	45	s	s	NOUN
cana-1297	667	46	&	&	CCONJ
cana-1297	667	47	r	r	NOUN
cana-1297	667	48	be	be	VERB
cana-1297	667	49	its	its	PRON
cana-1297	667	50	ros	ros	PROPN
cana-1297	667	51	.	.	PUNCT
cana-1297	668	1	a	a	VERB
cana-1297	668	2	bijection	bijection	NOUN
cana-1297	668	3	all	all	DET
cana-1297	668	4	pi	pi	NOUN
cana-1297	668	5	’s	’s	ADV
cana-1297	668	6	of	of	ADP
cana-1297	668	7	s	s	PROPN
cana-1297	668	8	&	&	CCONJ
cana-1297	668	9	the	the	DET
cana-1297	668	10	set	set	NOUN
cana-1297	668	11	of	of	ADP
cana-1297	668	12	all	all	DET
cana-1297	668	13	pi	pi	NOUN
cana-1297	668	14	’s	’s	ADV
cana-1297	668	15	of	of	ADP
cana-1297	668	16	r	r	NOUN
cana-1297	668	17	using	use	VERB
cana-1297	668	18	the	the	DET
cana-1297	668	19	mapping	mapping	NOUN
cana-1297	668	20	*	*	PUNCT
cana-1297	668	21	,	,	PUNCT
cana-1297	668	22			NOUN
cana-1297	668	23	→	→	PUNCT
cana-1297	668	24			PROPN
cana-1297	668	25	wherever	wherever	SCONJ
cana-1297	668	26	an	an	DET
cana-1297	668	27	ideal	ideal	ADJ
cana-1297	668	28	p	p	NOUN
cana-1297	668	29	of	of	ADP
cana-1297	668	30	s.	s.	PROPN
cana-1297	668	31	theorem3.18	theorem3.18	PROPN
cana-1297	668	32	:	:	PUNCT
cana-1297	668	33	a	a	DET
cana-1297	668	34	tг	tг	PROPN
cana-1297	668	35	-	-	PUNCT
cana-1297	668	36	s	s	NOUN
cana-1297	668	37	‘s	‘	NOUN
cana-1297	668	38	’	'	PUNCT
cana-1297	668	39	is	be	AUX
cana-1297	668	40	‘	'	PUNCT
cana-1297	668	41	primitive	primitive	ADJ
cana-1297	668	42	’	'	PUNCT
cana-1297	668	43	iff	iff	VERB
cana-1297	668	44	its	its	PRON
cana-1297	668	45	ros	ros	PROPN
cana-1297	668	46	‘	'	PUNCT
cana-1297	668	47	r	r	NOUN
cana-1297	668	48	’	'	PUNCT
cana-1297	668	49	is	be	AUX
cana-1297	668	50	‘	'	PUNCT
cana-1297	668	51	primitive	primitive	ADJ
cana-1297	668	52	’	'	PUNCT
cana-1297	668	53	.	.	PUNCT
cana-1297	669	1	proof	proof	NOUN
cana-1297	669	2	:	:	PUNCT
cana-1297	669	3	permit	permit	NOUN
cana-1297	669	4	s	s	PRON
cana-1297	669	5	be	be	AUX
cana-1297	669	6	a	a	DET
cana-1297	669	7	‘	'	PUNCT
cana-1297	669	8	primitive	primitive	ADJ
cana-1297	669	9	’	'	PUNCT
cana-1297	669	10	tгs	tгs	PROPN
cana-1297	669	11	.	.	PUNCT
cana-1297	670	1			PROPN
cana-1297	670	2	ftгs	ftгs	NOUN
cana-1297	670	3	-	-	PUNCT
cana-1297	670	4	s	s	PART
cana-1297	670	5	‘	'	PUNCT
cana-1297	670	6	o	o	NOUN
cana-1297	670	7	’	'	PUNCT
cana-1297	670	8	.	.	PUNCT
cana-1297	671	1	subsequently	subsequently	ADV
cana-1297	671	2	,	,	PUNCT
cana-1297	671	3	via	via	ADP
cana-1297	671	4	3.11	3.11	NUM
cana-1297	671	5	-	-	PUNCT
cana-1297	671	6	proposition	proposition	NOUN
cana-1297	671	7	,	,	PUNCT
cana-1297	671	8	o	o	PROPN
cana-1297	671	9	is	be	AUX
cana-1297	671	10	a	a	DET
cana-1297	671	11	fir	fir	PROPN
cana-1297	671	12	-	-	PUNCT
cana-1297	671	13	s.	s.	PROPN
cana-1297	671	14	accordingly	accordingly	ADV
cana-1297	671	15	,	,	PUNCT
cana-1297	671	16	r	r	NOUN
cana-1297	671	17	is	be	AUX
cana-1297	671	18	a	a	DET
cana-1297	671	19	primitive	primitive	ADJ
cana-1297	671	20	semiring	semiring	NOUN
cana-1297	671	21	-[6	-[6	NOUN
cana-1297	671	22	]	]	PUNCT
cana-1297	671	23	.	.	PUNCT
cana-1297	672	1	contrary	contrary	PROPN
cana-1297	672	2	follows	follow	VERB
cana-1297	672	3	via	via	ADP
cana-1297	672	4	reversing	reverse	VERB
cana-1297	672	5	the	the	DET
cana-1297	672	6	above	above	ADJ
cana-1297	672	7	argument	argument	NOUN
cana-1297	672	8	.	.	PUNCT
cana-1297	673	1	ultimately	ultimately	ADV
cana-1297	673	2	,	,	PUNCT
cana-1297	673	3	the	the	DET
cana-1297	673	4	accompanying	accompany	VERB
cana-1297	673	5	portrayal	portrayal	NOUN
cana-1297	673	6	of	of	ADP
cana-1297	673	7	‘	'	PUNCT
cana-1297	673	8	primitive	primitive	ADJ
cana-1297	673	9	h	h	NOUN
cana-1297	673	10	-	-	PUNCT
cana-1297	673	11	ideal	ideal	NOUN
cana-1297	673	12	’	'	PUNCT
cana-1297	673	13	of	of	ADP
cana-1297	673	14	a	a	DET
cana-1297	673	15	tгs	tгs	NOUN
cana-1297	673	16	closely	closely	ADV
cana-1297	673	17	resembles	resemble	VERB
cana-1297	673	18	that	that	PRON
cana-1297	673	19	of	of	ADP
cana-1297	673	20	a	a	DET
cana-1297	673	21	pi	pi	NOUN
cana-1297	673	22	.	.	PUNCT
cana-1297	674	1	theorem	theorem	VERB
cana-1297	674	2	3.19	3.19	NUM
cana-1297	674	3	:	:	PUNCT
cana-1297	674	4	a	a	DET
cana-1297	674	5	‘	'	PUNCT
cana-1297	674	6	h	h	NOUN
cana-1297	674	7	-	-	PUNCT
cana-1297	674	8	ideal	ideal	ADJ
cana-1297	674	9	’	'	PUNCT
cana-1297	674	10	p	p	NOUN
cana-1297	674	11	of	of	ADP
cana-1297	674	12	a	a	DET
cana-1297	674	13	tг	tг	NOUN
cana-1297	674	14	-	-	PUNCT
cana-1297	674	15	s	s	NOUN
cana-1297	674	16	s	s	NOUN
cana-1297	674	17	is	be	AUX
cana-1297	674	18	‘	'	PUNCT
cana-1297	674	19	primitive	primitive	ADJ
cana-1297	674	20	’	'	PUNCT
cana-1297	674	21	iff	iff	PROPN
cana-1297	674	22	(	(	PUNCT
cana-1297	674	23	)	)	PUNCT
cana-1297	674	24	sp	sp	ADP
cana-1297	674	25	a	a	DET
cana-1297	674	26	o=	o=	NOUN
cana-1297	674	27	for	for	ADP
cana-1297	674	28	some	some	DET
cana-1297	674	29	itгs	itгs	NOUN
cana-1297	674	30	-	-	PUNCT
cana-1297	674	31	s	s	NOUN
cana-1297	674	32	o.	o.	NOUN
cana-1297	674	33	proof	proof	NOUN
cana-1297	674	34	:	:	PUNCT
cana-1297	674	35	let	let	VERB
cana-1297	674	36	the	the	DET
cana-1297	674	37	‘	'	PUNCT
cana-1297	674	38	h	h	NOUN
cana-1297	674	39	-	-	PUNCT
cana-1297	674	40	ideal	ideal	ADJ
cana-1297	674	41	’	'	PUNCT
cana-1297	674	42	p	p	NOUN
cana-1297	674	43	of	of	ADP
cana-1297	674	44	the	the	DET
cana-1297	674	45	tгs	tгs	NOUN
cana-1297	674	46	s	s	VERB
cana-1297	674	47	be	be	AUX
cana-1297	674	48	primitive	primitive	ADJ
cana-1297	674	49	.	.	PUNCT
cana-1297	675	1	via	via	ADP
cana-1297	675	2	proposition	proposition	NOUN
cana-1297	675	3	3.14	3.14	NUM
cana-1297	675	4	,	,	PUNCT
cana-1297	675	5	proposition-6.11([1	proposition-6.11([1	NOUN
cana-1297	675	6	]	]	X
cana-1297	675	7	)	)	PUNCT
cana-1297	676	1	*	*	PUNCT
cana-1297	677	1	p	p	NOUN
cana-1297	677	2			ADJ
cana-1297	677	3	is	be	AUX
cana-1297	677	4	a	a	DET
cana-1297	677	5	‘	'	PUNCT
cana-1297	677	6	primitive	primitive	ADJ
cana-1297	677	7	h	h	NOUN
cana-1297	677	8	-	-	PUNCT
cana-1297	677	9	ideal	ideal	NOUN
cana-1297	677	10	’	'	PUNCT
cana-1297	677	11	of	of	ADP
cana-1297	677	12	r	r	NOUN
cana-1297	677	13	*	*	PUNCT
cana-1297	677	14	(	(	PUNCT
cana-1297	677	15	)	)	PUNCT
cana-1297	677	16	(	(	PUNCT
cana-1297	678	1	[	[	X
cana-1297	678	2	6]),rp	6]),rp	NOUN
cana-1297	678	3	a	a	DET
cana-1297	678	4	o	o	NOUN
cana-1297	678	5	=	=	SYM
cana-1297	678	6	wherever	wherever	SCONJ
cana-1297	678	7	o	o	NOUN
cana-1297	678	8	is	be	AUX
cana-1297	678	9	an	an	DET
cana-1297	678	10	‘	'	PUNCT
cana-1297	678	11	irreducible	irreducible	ADJ
cana-1297	678	12	r	r	NOUN
cana-1297	678	13	-	-	PUNCT
cana-1297	678	14	semimodule	semimodule	NOUN
cana-1297	678	15	’	'	PUNCT
cana-1297	678	16	(	(	PUNCT
cana-1297	678	17	proposition	proposition	NOUN
cana-1297	678	18	3.8	3.8	NUM
cana-1297	678	19	)	)	PUNCT
cana-1297	678	20	.	.	PUNCT
cana-1297	679	1	thus	thus	ADV
cana-1297	679	2	(	(	PUNCT
cana-1297	679	3	*	*	PUNCT
cana-1297	679	4	)	)	PUNCT
cana-1297	679	5	*	*	PUNCT
cana-1297	679	6	(	(	PUNCT
cana-1297	679	7	)	)	PUNCT
cana-1297	679	8	*	*	PUNCT
cana-1297	679	9	(	(	PUNCT
cana-1297	679	10	)	)	PUNCT
cana-1297	679	11	r	r	NOUN
cana-1297	679	12	sp	sp	ADP
cana-1297	679	13	a	a	DET
cana-1297	679	14	o	o	NOUN
cana-1297	679	15	p	p	NOUN
cana-1297	679	16	a	a	DET
cana-1297	679	17	o	o	NOUN
cana-1297	679	18	=	=	SYM
cana-1297	679	19			NOUN
cana-1297	679	20	=	=	PUNCT
cana-1297	679	21	(	(	PUNCT
cana-1297	679	22	3.10	3.10	NUM
cana-1297	679	23	-	-	PUNCT
cana-1297	679	24	proposition	proposition	NOUN
cana-1297	679	25	)	)	PUNCT
cana-1297	679	26	.	.	PUNCT
cana-1297	680	1	by	by	ADP
cana-1297	680	2	reversing	reverse	VERB
cana-1297	680	3	the	the	DET
cana-1297	680	4	above	above	ADJ
cana-1297	680	5	argument	argument	NOUN
cana-1297	680	6	converse	converse	NOUN
cana-1297	680	7	follows	follow	VERB
cana-1297	680	8	.	.	PUNCT
cana-1297	681	1	references	reference	NOUN
cana-1297	681	2	[	[	X
cana-1297	681	3	1	1	NUM
cana-1297	681	4	]	]	PUNCT
cana-1297	681	5	r.chinram	r.chinram	PROPN
cana-1297	681	6	,	,	PUNCT
cana-1297	681	7	a	a	DET
cana-1297	681	8	note	note	NOUN
cana-1297	681	9	on	on	ADP
cana-1297	681	10	quasi	quasi	NOUN
cana-1297	681	11	-	-	NOUN
cana-1297	681	12	ideals	ideal	NOUN
cana-1297	681	13	in	in	ADP
cana-1297	681	14	γ	γ	NOUN
cana-1297	681	15	-	-	PUNCT
cana-1297	681	16	semirings	semiring	NOUN
cana-1297	681	17	,	,	PUNCT
cana-1297	681	18	international	international	PROPN
cana-1297	681	19	mathematical	mathematical	ADJ
cana-1297	681	20	forum	forum	PROPN
cana-1297	681	21	26(2008	26(2008	NOUN
cana-1297	681	22	)	)	PUNCT
cana-1297	681	23	,	,	PUNCT
cana-1297	681	24	1253	1253	NUM
cana-1297	681	25	-	-	SYM
cana-1297	681	26	1259	1259	NUM
cana-1297	681	27	.	.	PUNCT
cana-1297	682	1	[	[	X
cana-1297	682	2	2	2	NUM
cana-1297	682	3	]	]	PUNCT
cana-1297	682	4	o.bektas	o.bekta	NOUN
cana-1297	682	5	,	,	PUNCT
cana-1297	682	6	n.bayrak	n.bayrak	NOUN
cana-1297	682	7	,	,	PUNCT
cana-1297	682	8	and	and	CCONJ
cana-1297	682	9	a.ersoy	a.ersoy	NOUN
cana-1297	682	10	,	,	PUNCT
cana-1297	682	11	soft	soft	ADJ
cana-1297	682	12	γ	γ	NOUN
cana-1297	682	13	-	-	PUNCT
cana-1297	682	14	semirings	semiring	NOUN
cana-1297	682	15	,	,	PUNCT
cana-1297	682	16	arxiv:1202.1496[math.ra	arxiv:1202.1496[math.ra	NOUN
cana-1297	682	17	]	]	PUNCT
cana-1297	682	18	,	,	PUNCT
cana-1297	682	19	7	7	NUM
cana-1297	682	20	feb	feb	NOUN
cana-1297	682	21	2012	2012	NUM
cana-1297	682	22	.	.	PUNCT
cana-1297	683	1	[	[	X
cana-1297	683	2	3	3	X
cana-1297	683	3	]	]	PUNCT
cana-1297	683	4	t.k.dutta	t.k.dutta	NOUN
cana-1297	683	5	and	and	CCONJ
cana-1297	683	6	s.k.sardar	s.k.sardar	NOUN
cana-1297	683	7	,	,	PUNCT
cana-1297	683	8	semiprime	semiprime	NOUN
cana-1297	683	9	ideals	ideal	NOUN
cana-1297	683	10	and	and	CCONJ
cana-1297	683	11	irreducible	irreducible	ADJ
cana-1297	683	12	ideals	ideal	NOUN
cana-1297	683	13	of	of	ADP
cana-1297	683	14	γ	γ	NOUN
cana-1297	683	15	-	-	PUNCT
cana-1297	683	16	semirings	semiring	NOUN
cana-1297	683	17	,	,	PUNCT
cana-1297	683	18	novi	novi	PROPN
cana-1297	683	19	sad	sad	PROPN
cana-1297	683	20	journal	journal	PROPN
cana-1297	683	21	of	of	ADP
cana-1297	683	22	mathematics	mathematic	NOUN
cana-1297	683	23	30(2000	30(2000	NUM
cana-1297	683	24	)	)	PUNCT
cana-1297	683	25	,	,	PUNCT
cana-1297	683	26	97	97	NUM
cana-1297	683	27	-	-	SYM
cana-1297	683	28	108	108	NUM
cana-1297	683	29	.	.	PUNCT
cana-1297	684	1	[	[	X
cana-1297	684	2	4	4	NUM
cana-1297	684	3	]	]	PUNCT
cana-1297	684	4	t.k.dutta	t.k.dutta	NOUN
cana-1297	684	5	,	,	PUNCT
cana-1297	684	6	s.k.sardar	s.k.sardar	NOUN
cana-1297	684	7	,	,	PUNCT
cana-1297	684	8	and	and	CCONJ
cana-1297	684	9	s.goswami	s.goswami	NOUN
cana-1297	684	10	,	,	PUNCT
cana-1297	684	11	operations	operation	NOUN
cana-1297	684	12	on	on	ADP
cana-1297	684	13	fuzzy	fuzzy	ADJ
cana-1297	684	14	ideals	ideal	NOUN
cana-1297	684	15	of	of	ADP
cana-1297	684	16	γ	γ	NOUN
cana-1297	684	17	-	-	PUNCT
cana-1297	684	18	semirings	semiring	NOUN
cana-1297	684	19	,	,	PUNCT
cana-1297	684	20	arxiv:1101.4791[math.ra	arxiv:1101.4791[math.ra	PROPN
cana-1297	684	21	]	]	X
cana-1297	684	22	,	,	PUNCT
cana-1297	684	23	25	25	NUM
cana-1297	684	24	jan2011	jan2011	NOUN
cana-1297	684	25	.	.	PUNCT
cana-1297	685	1	[	[	X
cana-1297	685	2	5	5	NUM
cana-1297	685	3	]	]	PUNCT
cana-1297	685	4	j.ghosh	j.ghosh	NOUN
cana-1297	685	5	and	and	CCONJ
cana-1297	685	6	t.k.samanta	t.k.samanta	VERB
cana-1297	685	7	fuzzy	fuzzy	ADJ
cana-1297	685	8	ideals	ideal	NOUN
cana-1297	685	9	in	in	ADP
cana-1297	685	10	γ	γ	NOUN
cana-1297	685	11	-	-	PUNCT
cana-1297	685	12	semirings	semiring	NOUN
cana-1297	685	13	,	,	PUNCT
cana-1297	685	14	arxiv:1010.2469[math.gm	arxiv:1010.2469[math.gm	NOUN
cana-1297	685	15	]	]	X
cana-1297	685	16	,	,	PUNCT
cana-1297	685	17	12	12	NUM
cana-1297	685	18	oct	oct	PROPN
cana-1297	685	19	2010	2010	NUM
cana-1297	685	20	.	.	PUNCT
cana-1297	686	1	communications	communication	NOUN
cana-1297	686	2	on	on	ADP
cana-1297	686	3	applied	apply	VERB
cana-1297	686	4	nonlinear	nonlinear	ADJ
cana-1297	686	5	analysis	analysis	NOUN
cana-1297	686	6	issn	issn	NOUN
cana-1297	686	7	:	:	PUNCT
cana-1297	686	8	1074	1074	NUM
cana-1297	686	9	-	-	PUNCT
cana-1297	686	10	133x	133x	NUM
cana-1297	686	11	vol	vol	NOUN
cana-1297	686	12	31	31	NUM
cana-1297	686	13	no	no	NOUN
cana-1297	686	14	.	.	PUNCT
cana-1297	687	1	7s	7	NOUN
cana-1297	687	2	(	(	PUNCT
cana-1297	687	3	2024	2024	NUM
cana-1297	687	4	)	)	PUNCT
cana-1297	687	5	230	230	NUM
cana-1297	687	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1297	688	1	[	[	X
cana-1297	688	2	6	6	NUM
cana-1297	688	3	]	]	X
cana-1297	688	4	r.d.jagatap	r.d.jagatap	NOUN
cana-1297	688	5	and	and	CCONJ
cana-1297	688	6	y.s.pawar	y.s.pawar	ADJ
cana-1297	688	7	,	,	PUNCT
cana-1297	688	8	quasi	quasi	NOUN
cana-1297	688	9	-	-	NOUN
cana-1297	688	10	ideals	ideal	NOUN
cana-1297	688	11	and	and	CCONJ
cana-1297	688	12	minimal	minimal	ADJ
cana-1297	688	13	quasi	quasi	NOUN
cana-1297	688	14	-	-	NOUN
cana-1297	688	15	ideals	ideal	NOUN
cana-1297	688	16	in	in	ADP
cana-1297	688	17	γ	γ	NOUN
cana-1297	688	18	-	-	PUNCT
cana-1297	688	19	semirings	semiring	NOUN
cana-1297	688	20	,	,	PUNCT
cana-1297	688	21	novi	novi	PROPN
cana-1297	688	22	sad	sad	PROPN
cana-1297	688	23	journal	journal	PROPN
cana-1297	688	24	of	of	ADP
cana-1297	688	25	mathematics	mathematics	PROPN
cana-1297	688	26	39(2009	39(2009	NUM
cana-1297	688	27	)	)	PUNCT
cana-1297	688	28	,	,	PUNCT
cana-1297	688	29	79	79	NUM
cana-1297	688	30	-	-	SYM
cana-1297	688	31	87	87	NUM
cana-1297	688	32	.	.	PUNCT
cana-1297	689	1	[	[	X
cana-1297	689	2	7	7	NUM
cana-1297	689	3	]	]	SYM
cana-1297	689	4	j.p.kaushik	j.p.kaushik	NOUN
cana-1297	689	5	,	,	PUNCT
cana-1297	689	6	m.a.ansari	m.a.ansari	PROPN
cana-1297	689	7	and	and	CCONJ
cana-1297	689	8	m.r.khan	m.r.khan	ADJ
cana-1297	689	9	,	,	PUNCT
cana-1297	689	10	on	on	ADP
cana-1297	689	11	biγ	biγ	NOUN
cana-1297	689	12	-	-	PUNCT
cana-1297	689	13	ideal	ideal	NOUN
cana-1297	689	14	in	in	ADP
cana-1297	689	15	γ	γ	NOUN
cana-1297	689	16	-	-	PUNCT
cana-1297	689	17	semirings	semiring	NOUN
cana-1297	689	18	,	,	PUNCT
cana-1297	689	19	international	international	ADJ
cana-1297	689	20	journal	journal	NOUN
cana-1297	689	21	of	of	ADP
cana-1297	689	22	contemporary	contemporary	PROPN
cana-1297	689	23	mathematical	mathematical	PROPN
cana-1297	689	24	sciences	sciences	PROPN
cana-1297	689	25	3(2008	3(2008	NUM
cana-1297	689	26	)	)	PUNCT
cana-1297	689	27	,	,	PUNCT
cana-1297	689	28	1255	1255	NUM
cana-1297	689	29	-	-	SYM
cana-1297	689	30	1260	1260	NUM
cana-1297	689	31	.	.	PUNCT
cana-1297	690	1	[	[	X
cana-1297	690	2	8	8	NUM
cana-1297	690	3	]	]	SYM
cana-1297	690	4	s.lajos	s.lajo	NOUN
cana-1297	690	5	,	,	PUNCT
cana-1297	690	6	notes	note	NOUN
cana-1297	690	7	on	on	ADP
cana-1297	690	8	generalized	generalized	ADJ
cana-1297	690	9	bi	bi	NOUN
cana-1297	690	10	-	-	NOUN
cana-1297	690	11	ideals	ideal	NOUN
cana-1297	690	12	in	in	ADP
cana-1297	690	13	semigroups	semigroup	NOUN
cana-1297	690	14	,	,	PUNCT
cana-1297	690	15	soochow	soochow	PROPN
cana-1297	690	16	journal	journal	NOUN
cana-1297	690	17	of	of	ADP
cana-1297	690	18	mathematics	mathematics	PROPN
cana-1297	690	19	10(1984	10(1984	NUM
cana-1297	690	20	)	)	PUNCT
cana-1297	690	21	,	,	PUNCT
cana-1297	690	22	55	55	NUM
cana-1297	690	23	-	-	SYM
cana-1297	690	24	59	59	NUM
cana-1297	690	25	.	.	PUNCT
cana-1297	691	1	[	[	X
cana-1297	691	2	9	9	NUM
cana-1297	691	3	]	]	SYM
cana-1297	691	4	s.pianskool	s.pianskool	NOUN
cana-1297	691	5	,	,	PUNCT
cana-1297	691	6	s.sangwirotjanapat	s.sangwirotjanapat	NOUN
cana-1297	691	7	,	,	PUNCT
cana-1297	691	8	and	and	CCONJ
cana-1297	691	9	s.tipyota	s.tipyota	NOUN
cana-1297	691	10	,	,	PUNCT
cana-1297	691	11	valuation	valuation	NOUN
cana-1297	691	12	γ	γ	PROPN
cana-1297	691	13	-	-	PUNCT
cana-1297	691	14	of	of	ADP
cana-1297	691	15	semirings	semiring	NOUN
cana-1297	691	16	and	and	CCONJ
cana-1297	691	17	valuation	valuation	NOUN
cana-1297	691	18	γ	γ	NOUN
cana-1297	691	19	-	-	NOUN
cana-1297	691	20	ideals	ideal	NOUN
cana-1297	691	21	,	,	PUNCT
cana-1297	691	22	tahi	tahi	NOUN
cana-1297	691	23	journal	journal	NOUN
cana-1297	691	24	of	of	ADP
cana-1297	691	25	mathematics	mathematics	PROPN
cana-1297	691	26	special	special	ADJ
cana-1297	691	27	issue	issue	NOUN
cana-1297	691	28	(	(	PUNCT
cana-1297	691	29	annual	annual	ADJ
cana-1297	691	30	meeting	meeting	NOUN
cana-1297	691	31	in	in	ADP
cana-1297	691	32	mathematics	mathematic	NOUN
cana-1297	691	33	)	)	PUNCT
cana-1297	691	34	(	(	PUNCT
cana-1297	691	35	2008	2008	NUM
cana-1297	691	36	)	)	PUNCT
cana-1297	691	37	,	,	PUNCT
cana-1297	691	38	93	93	NUM
cana-1297	691	39	-	-	SYM
cana-1297	691	40	102	102	NUM
cana-1297	691	41	.	.	PUNCT
cana-1297	692	1	[	[	X
cana-1297	692	2	10	10	NUM
cana-1297	692	3	]	]	SYM
cana-1297	692	4	m.murali	m.murali	PROPN
cana-1297	692	5	krishna	krishna	PROPN
cana-1297	692	6	rao	rao	PROPN
cana-1297	692	7	,	,	PUNCT
cana-1297	692	8	γ	γ	PROPN
cana-1297	692	9	-	-	PUNCT
cana-1297	692	10	semirings	semiring	NOUN
cana-1297	692	11	i	i	PRON
cana-1297	692	12	,	,	PUNCT
cana-1297	692	13	southeast	southeast	ADJ
cana-1297	692	14	asian	asian	ADJ
cana-1297	692	15	bulletin	bulletin	NOUN
cana-1297	692	16	of	of	ADP
cana-1297	692	17	mathematics19(1995	mathematics19(1995	PROPN
cana-1297	692	18	)	)	PUNCT
cana-1297	692	19	,	,	PUNCT
cana-1297	692	20	49	49	NUM
cana-1297	692	21	-	-	SYM
cana-1297	692	22	54	54	NUM
cana-1297	692	23	.	.	PUNCT
cana-1297	693	1	[	[	X
cana-1297	693	2	11	11	NUM
cana-1297	693	3	]	]	PUNCT
cana-1297	693	4	g.	g.	PROPN
cana-1297	693	5	srinivasa	srinivasa	PROPN
cana-1297	693	6	rao	rao	PROPN
cana-1297	693	7	p.siva	p.siva	PROPN
cana-1297	693	8	prasad	prasad	PROPN
cana-1297	693	9	,	,	PUNCT
cana-1297	693	10	m.	m.	NOUN
cana-1297	693	11	vasantha	vasantha	PROPN
cana-1297	693	12	,	,	PUNCT
cana-1297	693	13	dr	dr	PROPN
cana-1297	693	14	.	.	PROPN
cana-1297	693	15	d.	d.	PROPN
cana-1297	693	16	madhusudhana	madhusudhana	PROPN
cana-1297	693	17	rao	rao	PROPN
cana-1297	693	18	“	"	PUNCT
cana-1297	693	19	on	on	ADP
cana-1297	693	20	strongly	strongly	ADV
cana-1297	693	21	duo	duo	NOUN
cana-1297	693	22	and	and	CCONJ
cana-1297	693	23	duo	duo	NOUN
cana-1297	693	24	left	leave	VERB
cana-1297	693	25	γ	γ	PROPN
cana-1297	693	26	-	-	PUNCT
cana-1297	693	27	ts	ts	NOUN
cana-1297	693	28	-	-	PUNCT
cana-1297	693	29	acts	act	NOUN
cana-1297	693	30	over	over	ADP
cana-1297	693	31	ternary	ternary	NOUN
cana-1297	693	32	-	-	PUNCT
cana-1297	693	33	semigroups	semigroup	NOUN
cana-1297	693	34	”	"	PUNCT
cana-1297	693	35	,	,	PUNCT
cana-1297	693	36	international	international	ADJ
cana-1297	693	37	journal	journal	NOUN
cana-1297	693	38	of	of	ADP
cana-1297	693	39	pure	pure	ADJ
cana-1297	693	40	and	and	CCONJ
cana-1297	693	41	applied	applied	ADJ
cana-1297	693	42	mathematics	mathematic	NOUN
cana-1297	693	43	volume	volume	NOUN
cana-1297	693	44	113	113	NUM
cana-1297	693	45	no	no	NOUN
cana-1297	693	46	.	.	PROPN
cana-1297	693	47	6	6	NUM
cana-1297	693	48	2017	2017	NUM
cana-1297	693	49	,	,	PUNCT
cana-1297	693	50	65	65	NUM
cana-1297	693	51	–	–	SYM
cana-1297	693	52	73	73	NUM
cana-1297	693	53	,	,	PUNCT
cana-1297	693	54	issn	issn	NOUN
cana-1297	693	55	:	:	PUNCT
cana-1297	693	56	1311	1311	NUM
cana-1297	693	57	-	-	SYM
cana-1297	693	58	8080	8080	NUM
cana-1297	693	59	(	(	PUNCT
cana-1297	693	60	printed	print	VERB
cana-1297	693	61	version	version	NOUN
cana-1297	693	62	)	)	PUNCT
cana-1297	693	63	;	;	PUNCT
cana-1297	693	64	issn	issn	PROPN
cana-1297	693	65	:	:	PUNCT
cana-1297	693	66	1314	1314	NUM
cana-1297	693	67	-	-	SYM
cana-1297	693	68	3395	3395	NUM
cana-1297	693	69	(	(	PUNCT
cana-1297	693	70	on	on	ADP
cana-1297	693	71	-	-	PUNCT
cana-1297	693	72	line	line	NOUN
cana-1297	693	73	version	version	NOUN
cana-1297	693	74	)	)	PUNCT
cana-1297	693	75	pp	pp	ADP
cana-1297	693	76	67	67	NUM
cana-1297	693	77	-	-	SYM
cana-1297	693	78	73	73	NUM
cana-1297	693	79	.	.	PUNCT
cana-1297	694	1	[	[	X
cana-1297	694	2	12	12	NUM
cana-1297	694	3	]	]	X
cana-1297	694	4	ch	ch	NOUN
cana-1297	694	5	.	.	PUNCT
cana-1297	694	6	manikyarao	manikyarao	PROPN
cana-1297	694	7	p.siva	p.siva	PROPN
cana-1297	694	8	prasad	prasad	PROPN
cana-1297	694	9	,	,	PUNCT
cana-1297	694	10	d.	d.	PROPN
cana-1297	694	11	madhusudhana	madhusudhana	PROPN
cana-1297	694	12	rao	rao	PROPN
cana-1297	694	13	,	,	PUNCT
cana-1297	694	14	g.	g.	PROPN
cana-1297	695	1	srinivasarao,”maximal	srinivasarao,”maximal	PROPN
cana-1297	695	2	ideal	ideal	NOUN
cana-1297	695	3	of	of	ADP
cana-1297	695	4	compact	compact	ADJ
cana-1297	695	5	connected	connect	VERB
cana-1297	695	6	topological	topological	ADJ
cana-1297	695	7	ternary	ternary	ADJ
cana-1297	695	8	semigroups	semigroup	NOUN
cana-1297	695	9	”	"	PUNCT
cana-1297	695	10	international	international	ADJ
cana-1297	695	11	conference	conference	NOUN
cana-1297	695	12	on	on	ADP
cana-1297	695	13	mathematics	mathematics	PROPN
cana-1297	695	14	2015,at	2015,at	NOUN
cana-1297	695	15	:	:	PUNCT
cana-1297	695	16	kerela	kerela	PROPN
cana-1297	695	17	,	,	PUNCT
cana-1297	695	18	volume	volume	NOUN
cana-1297	695	19	:	:	PUNCT
cana-1297	695	20	volume	volume	NOUN
cana-1297	695	21	4	4	NUM
cana-1297	695	22	issue	issue	NOUN
cana-1297	695	23	2	2	NUM
cana-1297	695	24	[	[	SYM
cana-1297	695	25	13	13	NUM
cana-1297	695	26	]	]	PUNCT
cana-1297	695	27	p.	p.	NOUN
cana-1297	695	28	sivaprasad	sivaprasad	PROPN
cana-1297	695	29	,	,	PUNCT
cana-1297	695	30	dr	dr	PROPN
cana-1297	695	31	.	.	PROPN
cana-1297	695	32	d.	d.	PROPN
cana-1297	695	33	madhusudhana	madhusudhana	PROPN
cana-1297	695	34	rao	rao	PROPN
cana-1297	695	35	,	,	PUNCT
cana-1297	695	36	g.	g.	PROPN
cana-1297	695	37	srinivasa	srinivasa	PROPN
cana-1297	695	38	rao	rao	PROPN
cana-1297	695	39	,	,	PUNCT
cana-1297	695	40	”	"	PUNCT
cana-1297	695	41	a	a	DET
cana-1297	695	42	study	study	NOUN
cana-1297	695	43	on	on	ADP
cana-1297	695	44	structure	structure	NOUN
cana-1297	695	45	of	of	ADP
cana-1297	695	46	po	po	NOUN
cana-1297	695	47	-	-	ADJ
cana-1297	695	48	ternary	ternary	ADJ
cana-1297	695	49	semirings	semiring	NOUN
cana-1297	695	50	”	"	PUNCT
cana-1297	695	51	,	,	PUNCT
cana-1297	695	52	journal	journal	NOUN
cana-1297	695	53	of	of	ADP
cana-1297	695	54	advances	advance	NOUN
cana-1297	695	55	in	in	ADP
cana-1297	695	56	mathematics	mathematic	NOUN
cana-1297	695	57	,	,	PUNCT
cana-1297	695	58	vol	vol	NOUN
cana-1297	695	59	.10	.10	NUM
cana-1297	695	60	,	,	PUNCT
cana-1297	695	61	no.8,pp:3717	no.8,pp:3717	NOUN
cana-1297	695	62	-	-	PUNCT
cana-1297	695	63	3724	3724	NUM
cana-1297	695	64	.	.	PUNCT
cana-1297	696	1	[	[	X
cana-1297	696	2	14	14	NUM
cana-1297	696	3	]	]	PUNCT
cana-1297	696	4	p.	p.	NOUN
cana-1297	696	5	sivaprasad	sivaprasad	PROPN
cana-1297	696	6	,	,	PUNCT
cana-1297	696	7	dr	dr	PROPN
cana-1297	696	8	.	.	PROPN
cana-1297	696	9	d.	d.	PROPN
cana-1297	696	10	madhusudhana	madhusudhana	PROPN
cana-1297	696	11	rao	rao	PROPN
cana-1297	696	12	,	,	PUNCT
cana-1297	696	13	mamidipalli	mamidipalli	PROPN
cana-1297	696	14	.	.	PUNCT
cana-1297	697	1	vasantha	vasantha	PROPN
cana-1297	697	2	,	,	PUNCT
cana-1297	697	3	,	,	PUNCT
cana-1297	697	4	b.	b.	PROPN
cana-1297	697	5	srinivasa	srinivasa	PROPN
cana-1297	697	6	kumar	kumar	PROPN
cana-1297	697	7	,	,	PUNCT
cana-1297	697	8	”	"	PUNCT
cana-1297	697	9	on	on	ADP
cana-1297	697	10	γ	γ	PROPN
cana-1297	697	11	-	-	PUNCT
cana-1297	697	12	ts	ts	NOUN
cana-1297	697	13	-	-	PUNCT
cana-1297	697	14	acts	act	NOUN
cana-1297	697	15	over	over	ADP
cana-1297	697	16	ternary	ternary	ADJ
cana-1297	697	17	γ	γ	PROPN
cana-1297	697	18	-	-	PUNCT
cana-1297	697	19	semigroups	semigroup	NOUN
cana-1297	697	20	”	"	PUNCT
cana-1297	697	21	international	international	ADJ
cana-1297	697	22	journal	journal	NOUN
cana-1297	697	23	of	of	ADP
cana-1297	697	24	engineering	engineering	PROPN
cana-1297	697	25	&	&	CCONJ
cana-1297	697	26	technology	technology	PROPN
cana-1297	697	27	,	,	PUNCT
cana-1297	697	28	7	7	NUM
cana-1297	697	29	(	(	PUNCT
cana-1297	697	30	4.10	4.10	NUM
cana-1297	697	31	)	)	PUNCT
cana-1297	697	32	(	(	PUNCT
cana-1297	697	33	2018)pp:812	2018)pp:812	NUM
cana-1297	697	34	-	-	SYM
cana-1297	697	35	815	815	NUM
cana-1297	697	36	.	.	PUNCT
cana-1297	698	1	[	[	X
cana-1297	698	2	15	15	NUM
cana-1297	698	3	]	]	X
cana-1297	698	4	siva	siva	PROPN
cana-1297	698	5	prasad.p	prasad.p	PROPN
cana-1297	698	6	,	,	PUNCT
cana-1297	698	7	revathi.k	revathi.k	PROPN
cana-1297	698	8	,	,	PUNCT
cana-1297	698	9	2	2	NUM
cana-1297	698	10	,	,	PUNCT
cana-1297	698	11	sundarayya.p	sundarayya.p	NOUN
cana-1297	698	12	,	,	PUNCT
cana-1297	698	13	madhusudhana	madhusudhana	PROPN
cana-1297	698	14	rao.d	rao.d	PUNCT
cana-1297	698	15	,	,	PUNCT
cana-1297	698	16	“	"	PUNCT
cana-1297	698	17	compositions	composition	NOUN
cana-1297	698	18	of	of	ADP
cana-1297	698	19	fuzzy	fuzzy	ADJ
cana-1297	698	20	t	t	NOUN
cana-1297	698	21	-	-	PUNCT
cana-1297	698	22	ideals	ideal	NOUN
cana-1297	698	23	in	in	ADP
cana-1297	698	24	ternary	ternary	ADJ
cana-1297	698	25	semi	semi	ADJ
cana-1297	698	26	ring	ring	NOUN
cana-1297	698	27	”	"	PUNCT
cana-1297	698	28	,	,	PUNCT
cana-1297	698	29	international	international	ADJ
cana-1297	698	30	journal	journal	NOUN
cana-1297	698	31	of	of	ADP
cana-1297	698	32	advanced	advanced	ADJ
cana-1297	698	33	in	in	ADP
cana-1297	698	34	management	management	NOUN
cana-1297	698	35	,	,	PUNCT
cana-1297	698	36	technology	technology	NOUN
cana-1297	698	37	and	and	CCONJ
cana-1297	698	38	engineering	engineering	NOUN
cana-1297	698	39	sciences	science	NOUN
cana-1297	698	40	volume	volume	NOUN
cana-1297	698	41	7	7	NUM
cana-1297	698	42	,	,	PUNCT
cana-1297	698	43	issue	issue	NOUN
cana-1297	698	44	12	12	NUM
cana-1297	698	45	,	,	PUNCT
cana-1297	698	46	2017	2017	NUM
cana-1297	698	47	issn	issn	VERB
cana-1297	698	48	no	no	DET
cana-1297	698	49	:	:	PUNCT
cana-1297	698	50	2249	2249	NUM
cana-1297	698	51	-	-	PUNCT
cana-1297	698	52	7455,pp:135	7455,pp:135	NUM
cana-1297	698	53	-	-	NUM
cana-1297	698	54	145	145	NUM
cana-1297	698	55	.	.	PUNCT
cana-1297	699	1	[	[	X
cana-1297	699	2	16	16	NUM
cana-1297	699	3	]	]	PUNCT
cana-1297	699	4	p.	p.	PROPN
cana-1297	699	5	sivaprasad	sivaprasad	PROPN
cana-1297	699	6	,	,	PUNCT
cana-1297	699	7	c.	c.	PROPN
cana-1297	699	8	sreemannarayana	sreemannarayana	PROPN
cana-1297	699	9	,	,	PUNCT
cana-1297	699	10	d.	d.	PROPN
cana-1297	699	11	madhusudhana	madhusudhana	PROPN
cana-1297	699	12	rao	rao	PROPN
cana-1297	699	13	,	,	PUNCT
cana-1297	699	14	t.	t.	PROPN
cana-1297	699	15	nageswara	nageswara	PROPN
cana-1297	699	16	rao	rao	PROPN
cana-1297	699	17	,	,	PUNCT
cana-1297	699	18	k.	k.	PROPN
cana-1297	699	19	anuradha	anuradha	PROPN
cana-1297	699	20	,	,	PUNCT
cana-1297	699	21	”	"	PUNCT
cana-1297	699	22	on	on	ADP
cana-1297	699	23	leternary	leternary	ADJ
cana-1297	699	24	semi	semi	ADJ
cana-1297	699	25	groups	group	NOUN
cana-1297	699	26	-	-	PUNCT
cana-1297	699	27	i	i	PROPN
cana-1297	699	28	”	"	PUNCT
cana-1297	699	29	international	international	ADJ
cana-1297	699	30	journal	journal	NOUN
cana-1297	699	31	of	of	ADP
cana-1297	699	32	recent	recent	ADJ
cana-1297	699	33	technology	technology	NOUN
cana-1297	699	34	and	and	CCONJ
cana-1297	699	35	engineering	engineering	NOUN
cana-1297	699	36	(	(	PUNCT
cana-1297	699	37	ijrte	ijrte	NOUN
cana-1297	699	38	)	)	PUNCT
cana-1297	699	39	issn	issn	PROPN
cana-1297	699	40	:	:	PUNCT
cana-1297	699	41	2277	2277	NUM
cana-1297	699	42	-	-	SYM
cana-1297	699	43	3878	3878	NUM
cana-1297	699	44	,	,	PUNCT
cana-1297	699	45	volume-7	volume-7	ADJ
cana-1297	699	46	,	,	PUNCT
cana-1297	699	47	issueicetesm	issueicetesm	NOUN
cana-1297	699	48	,	,	PUNCT
cana-1297	699	49	march	march	PROPN
cana-1297	699	50	2019,pp:165	2019,pp:165	NUM
cana-1297	699	51	-	-	PUNCT
cana-1297	699	52	167	167	NUM
cana-1297	699	53	.	.	PUNCT
cana-1297	700	1	[	[	X
cana-1297	700	2	17	17	NUM
cana-1297	700	3	]	]	PUNCT
cana-1297	700	4	p.	p.	PROPN
cana-1297	700	5	sivaprasad	sivaprasad	PROPN
cana-1297	700	6	,	,	PUNCT
cana-1297	700	7	c.	c.	PROPN
cana-1297	700	8	sreemannarayana	sreemannarayana	PROPN
cana-1297	700	9	,	,	PUNCT
cana-1297	700	10	d.	d.	PROPN
cana-1297	700	11	madhusudhana	madhusudhana	PROPN
cana-1297	700	12	rao	rao	PROPN
cana-1297	700	13	,	,	PUNCT
cana-1297	700	14	t.	t.	PROPN
cana-1297	700	15	nageswara	nageswara	PROPN
cana-1297	700	16	rao	rao	PROPN
cana-1297	700	17	,	,	PUNCT
cana-1297	700	18	sajani	sajani	PROPN
cana-1297	700	19	lavanya	lavanya	NOUN
cana-1297	700	20	.	.	PUNCT
cana-1297	701	1	m	m	PROPN
cana-1297	701	2	,	,	PUNCT
cana-1297	701	3	”	"	PUNCT
cana-1297	701	4	on	on	ADP
cana-1297	701	5	leternary	leternary	ADJ
cana-1297	701	6	semi	semi	ADJ
cana-1297	701	7	groups	groups	PROPN
cana-1297	701	8	-	-	PUNCT
cana-1297	701	9	ii	ii	NOUN
cana-1297	701	10	”	"	PUNCT
cana-1297	701	11	international	international	ADJ
cana-1297	701	12	journal	journal	NOUN
cana-1297	701	13	of	of	ADP
cana-1297	701	14	recent	recent	ADJ
cana-1297	701	15	technology	technology	NOUN
cana-1297	701	16	and	and	CCONJ
cana-1297	701	17	engineering	engineering	NOUN
cana-1297	701	18	(	(	PUNCT
cana-1297	701	19	ijrte	ijrte	NOUN
cana-1297	701	20	)	)	PUNCT
cana-1297	701	21	issn	issn	PROPN
cana-1297	701	22	:	:	PUNCT
cana-1297	701	23	2277	2277	NUM
cana-1297	701	24	-	-	SYM
cana-1297	701	25	3878	3878	NUM
cana-1297	701	26	,	,	PUNCT
cana-1297	701	27	volume-7	volume-7	ADJ
cana-1297	701	28	,	,	PUNCT
cana-1297	701	29	issue	issue	NOUN
cana-1297	701	30	-	-	PUNCT
cana-1297	701	31	icetesm	icetesm	NOUN
cana-1297	701	32	,	,	PUNCT
cana-1297	701	33	march	march	PROPN
cana-1297	701	34	2019,pp:168	2019,pp:168	PROPN
cana-1297	701	35	-	-	SYM
cana-1297	701	36	170	170	NUM
cana-1297	701	37	.	.	PUNCT
cana-1297	702	1	[	[	X
cana-1297	702	2	18	18	NUM
cana-1297	702	3	]	]	X
cana-1297	702	4	s.k.sardar	s.k.sardar	NOUN
cana-1297	702	5	and	and	CCONJ
cana-1297	702	6	u.dasgupta	u.dasgupta	NOUN
cana-1297	702	7	,	,	PUNCT
cana-1297	702	8	on	on	ADP
cana-1297	702	9	primitive	primitive	ADJ
cana-1297	702	10	γ	γ	NOUN
cana-1297	702	11	-	-	PUNCT
cana-1297	702	12	semirings	semiring	NOUN
cana-1297	702	13	,	,	PUNCT
cana-1297	702	14	novi	novi	PROPN
cana-1297	702	15	sad	sad	PROPN
cana-1297	702	16	journal	journal	PROPN
cana-1297	702	17	of	of	ADP
cana-1297	702	18	mathematics	mathematics	PROPN
cana-1297	702	19	34(2004	34(2004	NUM
cana-1297	702	20	)	)	PUNCT
cana-1297	702	21	,	,	PUNCT
cana-1297	702	22	1	1	NUM
cana-1297	702	23	-	-	SYM
cana-1297	702	24	12	12	NUM
cana-1297	702	25	.	.	PUNCT
cana-1297	703	1	[	[	X
cana-1297	703	2	19	19	NUM
cana-1297	703	3	]	]	X
cana-1297	703	4	f.a.sz`asz	f.a.sz`asz	NOUN
cana-1297	703	5	,	,	PUNCT
cana-1297	703	6	generalized	generalized	ADJ
cana-1297	703	7	biideals	biideal	NOUN
cana-1297	703	8	of	of	ADP
cana-1297	703	9	rings	ring	NOUN
cana-1297	703	10	i	i	PRON
cana-1297	703	11	,	,	PUNCT
cana-1297	703	12	mathematische	mathematische	PROPN
cana-1297	703	13	nachrichten	nachrichten	PROPN
cana-1297	703	14	47(1970	47(1970	NUM
cana-1297	703	15	)	)	PUNCT
cana-1297	703	16	,	,	PUNCT
cana-1297	703	17	355	355	NUM
cana-1297	703	18	-	-	SYM
cana-1297	703	19	360	360	NUM
cana-1297	703	20	.	.	PUNCT
cana-1297	704	1	[	[	X
cana-1297	704	2	20	20	NUM
cana-1297	704	3	]	]	X
cana-1297	704	4	f.a.sz`asz	f.a.sz`asz	NOUN
cana-1297	704	5	,	,	PUNCT
cana-1297	704	6	generalized	generalized	ADJ
cana-1297	704	7	biideals	biideal	NOUN
cana-1297	704	8	of	of	ADP
cana-1297	704	9	rings	ring	NOUN
cana-1297	704	10	ii	ii	PROPN
cana-1297	704	11	,	,	PUNCT
cana-1297	704	12	mathematische	mathematische	PROPN
cana-1297	704	13	nachrichten	nachrichten	PROPN
cana-1297	704	14	47(1970	47(1970	NUM
cana-1297	704	15	)	)	PUNCT
cana-1297	704	16	,	,	PUNCT
cana-1297	704	17	361	361	NUM
cana-1297	704	18	-	-	SYM
cana-1297	704	19	364	364	NUM
cana-1297	704	20	[	[	SYM
cana-1297	704	21	21	21	NUM
cana-1297	704	22	]	]	PUNCT
cana-1297	704	23	bhagyalakshmi	bhagyalakshmi	PROPN
cana-1297	704	24	kothuru	kothuru	ADV
cana-1297	704	25	,	,	PUNCT
cana-1297	704	26	v.amarendrababuternary	v.amarendrababuternary	ADJ
cana-1297	704	27	г	г	PROPN
cana-1297	704	28	-	-	PUNCT
cana-1297	704	29	so	so	ADV
cana-1297	704	30	semirings-3	semirings-3	PROPN
cana-1297	704	31	,	,	PUNCT
cana-1297	704	32	international	international	ADJ
cana-1297	704	33	journal	journal	NOUN
cana-1297	704	34	of	of	ADP
cana-1297	704	35	innovative	innovative	ADJ
cana-1297	704	36	technology	technology	NOUN
cana-1297	704	37	and	and	CCONJ
cana-1297	704	38	exploring	explore	VERB
cana-1297	704	39	engineering,2019	engineering,2019	PRON
cana-1297	704	40	,	,	PUNCT
cana-1297	704	41	8(12	8(12	NUM
cana-1297	704	42	)	)	PUNCT
cana-1297	704	43	,	,	PUNCT
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cana-1297	704	45	-	-	PUNCT
cana-1297	704	46	213	213	NUM
cana-1297	704	47	.	.	PUNCT
cana-1297	705	1	[	[	X
cana-1297	705	2	22	22	NUM
cana-1297	705	3	]	]	PUNCT
cana-1297	705	4	bhagyalakshmi	bhagyalakshmi	PROPN
cana-1297	705	5	kothuru	kothuru	ADV
cana-1297	705	6	,	,	PUNCT
cana-1297	705	7	dr.v.amarendrababu	dr.v.amarendrababu	PROPN
cana-1297	705	8	ternary	ternary	NOUN
cana-1297	705	9	г	г	PROPN
cana-1297	705	10	-	-	PUNCT
cana-1297	705	11	so	so	ADV
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cana-1297	705	13	,	,	PUNCT
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cana-1297	705	15	journal	journal	NOUN
cana-1297	705	16	of	of	ADP
cana-1297	705	17	advanced	advanced	ADJ
cana-1297	705	18	science	science	NOUN
cana-1297	705	19	and	and	CCONJ
cana-1297	705	20	technology	technology	NOUN
cana-1297	705	21	,	,	PUNCT
cana-1297	705	22	2019	2019	NUM
cana-1297	705	23	,	,	PUNCT
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cana-1297	705	25	)	)	PUNCT
cana-1297	705	26	,	,	PUNCT
cana-1297	705	27	pp.172	pp.172	PROPN
cana-1297	705	28	-	-	PUNCT
cana-1297	705	29	180	180	NUM
cana-1297	705	30	.	.	PUNCT
cana-1297	706	1	[	[	X
cana-1297	706	2	23	23	NUM
cana-1297	706	3	]	]	PUNCT
cana-1297	706	4	kothuru	kothuru	ADP
cana-1297	706	5	bhagyalakshmi	bhagyalakshmi	PROPN
cana-1297	706	6	and	and	CCONJ
cana-1297	706	7	v.amarendrababu3	v.amarendrababu3	NOUN
cana-1297	706	8	-	-	ADJ
cana-1297	706	9	absorbing	absorbing	ADJ
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cana-1297	706	12	,	,	PUNCT
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cana-1297	706	16	,	,	PUNCT
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cana-1297	706	18	,	,	PUNCT
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cana-1297	706	20	,	,	PUNCT
cana-1297	706	21	0066394	0066394	NUM
cana-1297	706	22	.	.	PUNCT
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cana-1297	707	2	24	24	NUM
cana-1297	707	3	]	]	PUNCT
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cana-1297	707	6	,	,	PUNCT
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cana-1297	707	9	kothuru	kothuru	ADP
cana-1297	707	10	bhagyalakshmi	bhagyalakshmi	PROPN
cana-1297	707	11	irreducible	irreducible	ADJ
cana-1297	707	12	and	and	CCONJ
cana-1297	707	13	strongly	strongly	ADV
cana-1297	707	14	irreducible	irreducible	ADJ
cana-1297	707	15	bi	bi	NOUN
cana-1297	707	16	-	-	NOUN
cana-1297	707	17	ideals	ideal	NOUN
cana-1297	707	18	in	in	ADP
cana-1297	707	19	ternary	ternary	ADJ
cana-1297	707	20	г	г	PROPN
cana-1297	707	21	-	-	PUNCT
cana-1297	707	22	so	so	ADV
cana-1297	707	23	-	-	PUNCT
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cana-1297	707	25	,	,	PUNCT
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cana-1297	707	30	2021	2021	NUM
cana-1297	707	31	,	,	PUNCT
cana-1297	707	32	2375	2375	NUM
cana-1297	707	33	,	,	PUNCT
cana-1297	707	34	0066394	0066394	NUM
cana-1297	707	35	.	.	PUNCT
cana-1297	708	1	[	[	X
cana-1297	708	2	25	25	NUM
cana-1297	708	3	]	]	SYM
cana-1297	708	4	v.amarendrababu	v.amarendrababu	NOUN
cana-1297	708	5	,	,	PUNCT
cana-1297	708	6	m.ankarao	m.ankarao	ADJ
cana-1297	708	7	and	and	CCONJ
cana-1297	708	8	kothurubhagyalakshmibi	kothurubhagyalakshmibi	NOUN
cana-1297	708	9	-	-	NOUN
cana-1297	708	10	ideals	ideal	NOUN
cana-1297	708	11	in	in	ADP
cana-1297	708	12	ternary	ternary	ADJ
cana-1297	708	13	г	г	PROPN
cana-1297	708	14	-	-	PUNCT
cana-1297	708	15	so	so	ADV
cana-1297	708	16	-	-	PUNCT
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cana-1297	708	18	,	,	PUNCT
cana-1297	708	19	aip	aip	PROPN
cana-1297	708	20	conference	conference	NOUN
cana-1297	708	21	proceedings	proceeding	NOUN
cana-1297	708	22	,	,	PUNCT
cana-1297	708	23	2021	2021	NUM
cana-1297	708	24	,	,	PUNCT
cana-1297	708	25	2375	2375	NUM
cana-1297	708	26	,	,	PUNCT
cana-1297	708	27	0066389	0066389	NUM
cana-1297	708	28	.	.	PUNCT
cana-1297	709	1	[	[	X
cana-1297	709	2	26	26	NUM
cana-1297	709	3	]	]	PUNCT
cana-1297	709	4	g.	g.	PROPN
cana-1297	709	5	srinivasa	srinivasa	PROPN
cana-1297	709	6	rao	rao	PROPN
cana-1297	709	7	,	,	PUNCT
cana-1297	709	8	d.	d.	PROPN
cana-1297	709	9	madhusudhanarao	madhusudhanarao	PROPN
cana-1297	709	10	and	and	CCONJ
cana-1297	709	11	p.	p.	PROPN
cana-1297	709	12	siva	siva	PROPN
cana-1297	709	13	prasad	prasad	PROPN
cana-1297	709	14	,	,	PUNCT
cana-1297	709	15	simple	simple	ADJ
cana-1297	709	16	ternary	ternary	ADJ
cana-1297	709	17	semi	semi	NOUN
cana-1297	709	18	-	-	NOUN
cana-1297	709	19	rings	ring	NOUN
cana-1297	709	20	,	,	PUNCT
cana-1297	709	21	the	the	DET
cana-1297	709	22	global	global	ADJ
cana-1297	709	23	journal	journal	NOUN
cana-1297	709	24	of	of	ADP
cana-1297	709	25	mathematics	mathematics	PROPN
cana-1297	709	26	&	&	CCONJ
cana-1297	709	27	mathematical	mathematical	PROPN
cana-1297	709	28	sciences	sciences	PROPN
cana-1297	709	29	,	,	PUNCT
cana-1297	709	30	9(2	9(2	NUM
cana-1297	709	31	)	)	PUNCT
cana-1297	709	32	(	(	PUNCT
cana-1297	709	33	2016	2016	NUM
cana-1297	709	34	)	)	PUNCT
cana-1297	709	35	,	,	PUNCT
cana-1297	709	36	185	185	NUM
cana-1297	709	37	-	-	SYM
cana-1297	709	38	196	196	NUM
cana-1297	709	39	.	.	PUNCT
cana-1297	710	1	[	[	X
cana-1297	710	2	27	27	NUM
cana-1297	710	3	]	]	X
cana-1297	710	4	d.	d.	PROPN
cana-1297	710	5	madhusudhana	madhusudhana	PROPN
cana-1297	710	6	rao	rao	PROPN
cana-1297	710	7	,	,	PUNCT
cana-1297	710	8	g.	g.	PROPN
cana-1297	710	9	srinivasa	srinivasa	PROPN
cana-1297	710	10	rao	rao	PROPN
cana-1297	710	11	,	,	PUNCT
cana-1297	710	12	special	special	ADJ
cana-1297	710	13	elements	element	NOUN
cana-1297	710	14	in	in	ADP
cana-1297	710	15	ternary	ternary	ADJ
cana-1297	710	16	semi	semi	ADJ
cana-1297	710	17	rings	ring	NOUN
cana-1297	710	18	,	,	PUNCT
cana-1297	710	19	international	international	ADJ
cana-1297	710	20	journal	journal	NOUN
cana-1297	710	21	of	of	ADP
cana-1297	710	22	engineering	engineering	NOUN
cana-1297	710	23	research	research	NOUN
cana-1297	710	24	and	and	CCONJ
cana-1297	710	25	applications	application	NOUN
cana-1297	710	26	,	,	PUNCT
cana-1297	710	27	4(11	4(11	NUM
cana-1297	710	28	)	)	PUNCT
cana-1297	710	29	(	(	PUNCT
cana-1297	710	30	2014	2014	NUM
cana-1297	710	31	)	)	PUNCT
cana-1297	710	32	,	,	PUNCT
cana-1297	710	33	123	123	NUM
cana-1297	710	34	-	-	SYM
cana-1297	710	35	130	130	NUM
cana-1297	710	36	.	.	PUNCT
cana-1297	711	1	[	[	X
cana-1297	711	2	28	28	NUM
cana-1297	711	3	]	]	X
cana-1297	711	4	g.	g.	PROPN
cana-1297	711	5	srinivasa	srinivasa	PROPN
cana-1297	711	6	rao	rao	PROPN
cana-1297	711	7	,	,	PUNCT
cana-1297	711	8	d.	d.	PROPN
cana-1297	711	9	madhusudhana	madhusudhana	PROPN
cana-1297	711	10	rao	rao	PROPN
cana-1297	711	11	,	,	PUNCT
cana-1297	711	12	structure	structure	NOUN
cana-1297	711	13	of	of	ADP
cana-1297	711	14	certain	certain	ADJ
cana-1297	711	15	ideals	ideal	NOUN
cana-1297	711	16	in	in	ADP
cana-1297	711	17	ternary	ternary	ADJ
cana-1297	711	18	semi	semi	ADJ
cana-1297	711	19	rings	ring	NOUN
cana-1297	711	20	,	,	PUNCT
cana-1297	711	21	int	int	NOUN
cana-1297	711	22	.	.	PUNCT
cana-1297	712	1	j.	j.	PROPN
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cana-1297	712	4	science	science	NOUN
cana-1297	712	5	and	and	CCONJ
cana-1297	712	6	modern	modern	ADJ
cana-1297	712	7	engg	engg	PROPN
cana-1297	712	8	.	.	PUNCT
cana-1297	712	9	,	,	PUNCT
cana-1297	712	10	3(3	3(3	NUM
cana-1297	712	11	)	)	PUNCT
cana-1297	712	12	(	(	PUNCT
cana-1297	712	13	2015	2015	NUM
cana-1297	712	14	)	)	PUNCT
cana-1297	712	15	,	,	PUNCT
cana-1297	712	16	49	49	NUM
cana-1297	712	17	-	-	SYM
cana-1297	712	18	56	56	NUM
cana-1297	712	19	.	.	PUNCT
cana-1297	713	1	[	[	X
cana-1297	713	2	29	29	NUM
cana-1297	713	3	]	]	X
cana-1297	713	4	g.	g.	PROPN
cana-1297	713	5	srinivasa	srinivasa	PROPN
cana-1297	713	6	rao	rao	PROPN
cana-1297	713	7	,	,	PUNCT
cana-1297	713	8	d.	d.	PROPN
cana-1297	713	9	madhusudhana	madhusudhana	PROPN
cana-1297	713	10	rao	rao	PROPN
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cana-1297	713	12	a	a	DET
cana-1297	713	13	study	study	NOUN
cana-1297	713	14	on	on	ADP
cana-1297	713	15	ternary	ternary	ADJ
cana-1297	713	16	semi	semi	ADJ
cana-1297	713	17	rings	ring	NOUN
cana-1297	713	18	,	,	PUNCT
cana-1297	713	19	int	int	NOUN
cana-1297	713	20	.	.	PUNCT
cana-1297	714	1	j.	j.	PROPN
cana-1297	714	2	of	of	ADP
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cana-1297	714	4	.	.	PUNCT
cana-1297	715	1	archive	archive	NOUN
cana-1297	715	2	,	,	PUNCT
cana-1297	715	3	5(12	5(12	NUM
cana-1297	715	4	)	)	PUNCT
cana-1297	715	5	(	(	PUNCT
cana-1297	715	6	2014	2014	NUM
cana-1297	715	7	)	)	PUNCT
cana-1297	715	8	,	,	PUNCT
cana-1297	715	9	24	24	NUM
cana-1297	715	10	-	-	SYM
cana-1297	715	11	30	30	NUM
cana-1297	715	12	.	.	PUNCT
cana-1297	716	1	[	[	X
cana-1297	716	2	30	30	NUM
cana-1297	716	3	]	]	X
cana-1297	716	4	g.	g.	PROPN
cana-1297	716	5	srinivasa	srinivasa	PROPN
cana-1297	716	6	rao	rao	PROPN
cana-1297	716	7	,	,	PUNCT
cana-1297	716	8	d.	d.	PROPN
cana-1297	716	9	madhusudhana	madhusudhana	PROPN
cana-1297	716	10	rao	rao	PROPN
cana-1297	716	11	,	,	PUNCT
cana-1297	716	12	characteristics	characteristic	NOUN
cana-1297	716	13	of	of	ADP
cana-1297	716	14	ternary	ternary	ADJ
cana-1297	716	15	semi	semi	ADJ
cana-1297	716	16	rings	ring	NOUN
cana-1297	716	17	,	,	PUNCT
cana-1297	716	18	int.j	int.j	PROPN
cana-1297	716	19	.	.	PROPN
cana-1297	716	20	of	of	ADP
cana-1297	716	21	engg	engg	PROPN
cana-1297	716	22	.	.	PUNCT
cana-1297	717	1	res	re	NOUN
cana-1297	717	2	.	.	PUNCT
cana-1297	717	3	and	and	CCONJ
cana-1297	717	4	mgt	mgt	PROPN
cana-1297	717	5	.	.	PUNCT
cana-1297	717	6	,	,	PUNCT
cana-1297	717	7	2(1	2(1	NUM
cana-1297	717	8	)	)	PUNCT
cana-1297	717	9	(	(	PUNCT
cana-1297	717	10	2015	2015	NUM
cana-1297	717	11	)	)	PUNCT
cana-1297	717	12	,	,	PUNCT
cana-1297	717	13	3	3	NUM
cana-1297	717	14	-	-	SYM
cana-1297	717	15	6	6	NUM
cana-1297	717	16	.	.	PUNCT