id	sid	tid	token	lemma	pos
ejpam-5775	1	1	european	european	PROPN
ejpam-5775	1	2	journal	journal	PROPN
ejpam-5775	1	3	of	of	ADP
ejpam-5775	1	4	pure	pure	ADJ
ejpam-5775	1	5	and	and	CCONJ
ejpam-5775	1	6	applied	applied	ADJ
ejpam-5775	1	7	mathematics	mathematic	NOUN
ejpam-5775	1	8	2025	2025	NUM
ejpam-5775	1	9	,	,	PUNCT
ejpam-5775	1	10	vol	vol	NOUN
ejpam-5775	1	11	.	.	PROPN
ejpam-5775	1	12	18	18	NUM
ejpam-5775	1	13	,	,	PUNCT
ejpam-5775	1	14	issue	issue	NOUN
ejpam-5775	1	15	1	1	NUM
ejpam-5775	1	16	,	,	PUNCT
ejpam-5775	1	17	article	article	NOUN
ejpam-5775	1	18	number	number	NOUN
ejpam-5775	1	19	5775	5775	NUM
ejpam-5775	1	20	issn	issn	PROPN
ejpam-5775	1	21	1307	1307	NUM
ejpam-5775	1	22	-	-	SYM
ejpam-5775	1	23	5543	5543	NUM
ejpam-5775	1	24	–	–	PUNCT
ejpam-5775	1	25	ejpam.com	ejpam.com	X
ejpam-5775	1	26	published	publish	VERB
ejpam-5775	1	27	by	by	ADP
ejpam-5775	1	28	new	new	PROPN
ejpam-5775	1	29	york	york	PROPN
ejpam-5775	1	30	business	business	PROPN
ejpam-5775	1	31	global	global	PROPN
ejpam-5775	1	32	a	a	DET
ejpam-5775	1	33	new	new	ADJ
ejpam-5775	1	34	product	product	NOUN
ejpam-5775	1	35	on	on	ADP
ejpam-5775	1	36	category	category	NOUN
ejpam-5775	1	37	of	of	ADP
ejpam-5775	1	38	welded	weld	VERB
ejpam-5775	1	39	tangle	tangle	NOUN
ejpam-5775	1	40	-	-	PUNCT
ejpam-5775	1	41	oids	oids	NOUN
ejpam-5775	1	42	hadeel	hadeel	PROPN
ejpam-5775	1	43	albeladi1,∗	albeladi1,∗	PROPN
ejpam-5775	1	44	,	,	PUNCT
ejpam-5775	1	45	cenap	cenap	VERB
ejpam-5775	1	46	ozel2	ozel2	PROPN
ejpam-5775	1	47	1	1	NUM
ejpam-5775	1	48	department	department	NOUN
ejpam-5775	1	49	of	of	ADP
ejpam-5775	1	50	mathematics	mathematic	NOUN
ejpam-5775	1	51	,	,	PUNCT
ejpam-5775	1	52	college	college	NOUN
ejpam-5775	1	53	of	of	ADP
ejpam-5775	1	54	science	science	PROPN
ejpam-5775	1	55	&	&	CCONJ
ejpam-5775	1	56	arts	arts	PROPN
ejpam-5775	1	57	,	,	PUNCT
ejpam-5775	1	58	king	king	PROPN
ejpam-5775	1	59	abdulaziz	abdulaziz	PROPN
ejpam-5775	1	60	university	university	PROPN
ejpam-5775	1	61	,	,	PUNCT
ejpam-5775	1	62	rabigh	rabigh	NOUN
ejpam-5775	1	63	21911	21911	NUM
ejpam-5775	1	64	,	,	PUNCT
ejpam-5775	1	65	saudi	saudi	PROPN
ejpam-5775	1	66	arabia	arabia	PROPN
ejpam-5775	1	67	2	2	NUM
ejpam-5775	1	68	department	department	NOUN
ejpam-5775	1	69	of	of	ADP
ejpam-5775	1	70	mathematics	mathematic	NOUN
ejpam-5775	1	71	,	,	PUNCT
ejpam-5775	1	72	king	king	PROPN
ejpam-5775	1	73	abdulaziz	abdulaziz	PROPN
ejpam-5775	1	74	university	university	PROPN
ejpam-5775	1	75	,	,	PUNCT
ejpam-5775	1	76	jeddah	jeddah	PROPN
ejpam-5775	1	77	21589	21589	NUM
ejpam-5775	1	78	,	,	PUNCT
ejpam-5775	1	79	saudi	saudi	PROPN
ejpam-5775	1	80	arabia	arabia	PROPN
ejpam-5775	1	81	abstract	abstract	NOUN
ejpam-5775	1	82	.	.	PUNCT
ejpam-5775	2	1	in	in	ADP
ejpam-5775	2	2	this	this	DET
ejpam-5775	2	3	paper	paper	NOUN
ejpam-5775	2	4	,	,	PUNCT
ejpam-5775	2	5	we	we	PRON
ejpam-5775	2	6	address	address	VERB
ejpam-5775	2	7	a	a	DET
ejpam-5775	2	8	new	new	ADJ
ejpam-5775	2	9	product	product	NOUN
ejpam-5775	2	10	in	in	ADP
ejpam-5775	2	11	the	the	DET
ejpam-5775	2	12	category	category	NOUN
ejpam-5775	2	13	of	of	ADP
ejpam-5775	2	14	tangle	tangle	NOUN
ejpam-5775	2	15	-	-	PUNCT
ejpam-5775	2	16	oids	oid	NOUN
ejpam-5775	2	17	that	that	PRON
ejpam-5775	2	18	we	we	PRON
ejpam-5775	2	19	call	call	VERB
ejpam-5775	2	20	additive	additive	ADJ
ejpam-5775	2	21	product	product	NOUN
ejpam-5775	2	22	.	.	PUNCT
ejpam-5775	3	1	we	we	PRON
ejpam-5775	3	2	prove	prove	VERB
ejpam-5775	3	3	that	that	SCONJ
ejpam-5775	3	4	this	this	DET
ejpam-5775	3	5	additive	additive	ADJ
ejpam-5775	3	6	product	product	NOUN
ejpam-5775	3	7	with	with	ADP
ejpam-5775	3	8	formal	formal	ADJ
ejpam-5775	3	9	addition	addition	NOUN
ejpam-5775	3	10	on	on	ADP
ejpam-5775	3	11	tangle	tangle	NOUN
ejpam-5775	3	12	-	-	PUNCT
ejpam-5775	3	13	oids	oid	NOUN
ejpam-5775	3	14	gives	give	VERB
ejpam-5775	3	15	us	we	PRON
ejpam-5775	3	16	associative	associative	ADJ
ejpam-5775	3	17	algebra	algebra	NOUN
ejpam-5775	3	18	.	.	PUNCT
ejpam-5775	4	1	last	last	ADV
ejpam-5775	4	2	we	we	PRON
ejpam-5775	4	3	give	give	VERB
ejpam-5775	4	4	the	the	DET
ejpam-5775	4	5	relationship	relationship	NOUN
ejpam-5775	4	6	between	between	ADP
ejpam-5775	4	7	this	this	DET
ejpam-5775	4	8	new	new	ADJ
ejpam-5775	4	9	product	product	NOUN
ejpam-5775	4	10	,	,	PUNCT
ejpam-5775	4	11	and	and	CCONJ
ejpam-5775	4	12	tensor	tensor	NOUN
ejpam-5775	4	13	and	and	CCONJ
ejpam-5775	4	14	compositions	composition	NOUN
ejpam-5775	4	15	on	on	ADP
ejpam-5775	4	16	tangle	tangle	NOUN
ejpam-5775	4	17	-	-	PUNCT
ejpam-5775	4	18	oids	oid	NOUN
ejpam-5775	4	19	.	.	PUNCT
ejpam-5775	5	1	2020	2020	NUM
ejpam-5775	5	2	mathematics	mathematics	PROPN
ejpam-5775	5	3	subject	subject	NOUN
ejpam-5775	5	4	classifications	classification	NOUN
ejpam-5775	5	5	:	:	PUNCT
ejpam-5775	5	6	18a05	18a05	NUM
ejpam-5775	5	7	,	,	PUNCT
ejpam-5775	5	8	57m25	57m25	NUM
ejpam-5775	5	9	,	,	PUNCT
ejpam-5775	5	10	18d10	18d10	NUM
ejpam-5775	5	11	,	,	PUNCT
ejpam-5775	5	12	16t10	16t10	NUM
ejpam-5775	5	13	,	,	PUNCT
ejpam-5775	5	14	57m27	57m27	NUM
ejpam-5775	5	15	key	key	ADJ
ejpam-5775	5	16	words	word	NOUN
ejpam-5775	5	17	and	and	CCONJ
ejpam-5775	5	18	phrases	phrase	NOUN
ejpam-5775	5	19	:	:	PUNCT
ejpam-5775	5	20	welded	weld	VERB
ejpam-5775	5	21	tangle	tangle	NOUN
ejpam-5775	5	22	-	-	PUNCT
ejpam-5775	5	23	oid	oid	NOUN
ejpam-5775	5	24	,	,	PUNCT
ejpam-5775	5	25	knotoids	knotoid	NOUN
ejpam-5775	5	26	,	,	PUNCT
ejpam-5775	5	27	additive	additive	ADJ
ejpam-5775	5	28	product	product	NOUN
ejpam-5775	5	29	,	,	PUNCT
ejpam-5775	5	30	tangle	tangle	NOUN
ejpam-5775	5	31	.	.	PUNCT
ejpam-5775	6	1	1	1	X
ejpam-5775	6	2	.	.	X
ejpam-5775	6	3	introduction	introduction	NOUN
ejpam-5775	6	4	welded	weld	VERB
ejpam-5775	6	5	tangle	tangle	NOUN
ejpam-5775	6	6	-	-	PUNCT
ejpam-5775	6	7	oids	oid	NOUN
ejpam-5775	6	8	category	category	NOUN
ejpam-5775	6	9	is	be	AUX
ejpam-5775	6	10	defined	define	VERB
ejpam-5775	6	11	in	in	ADP
ejpam-5775	6	12	[	[	X
ejpam-5775	6	13	2	2	NUM
ejpam-5775	6	14	]	]	PUNCT
ejpam-5775	6	15	as	as	ADP
ejpam-5775	6	16	a	a	DET
ejpam-5775	6	17	free	free	ADJ
ejpam-5775	6	18	category	category	NOUN
ejpam-5775	6	19	over	over	ADP
ejpam-5775	6	20	monoidal	monoidal	ADJ
ejpam-5775	6	21	graphs	graph	NOUN
ejpam-5775	6	22	(	(	PUNCT
ejpam-5775	6	23	generators	generator	NOUN
ejpam-5775	6	24	)	)	PUNCT
ejpam-5775	6	25	with	with	ADP
ejpam-5775	6	26	some	some	DET
ejpam-5775	6	27	relations	relation	NOUN
ejpam-5775	6	28	defined	define	VERB
ejpam-5775	6	29	by	by	ADP
ejpam-5775	6	30	tensor	tensor	NOUN
ejpam-5775	6	31	product	product	NOUN
ejpam-5775	6	32	and	and	CCONJ
ejpam-5775	6	33	composition	composition	NOUN
ejpam-5775	6	34	.	.	PUNCT
ejpam-5775	7	1	also	also	ADV
ejpam-5775	7	2	we	we	PRON
ejpam-5775	7	3	can	can	AUX
ejpam-5775	7	4	see	see	VERB
ejpam-5775	7	5	welded	weld	VERB
ejpam-5775	7	6	tangle	tangle	NOUN
ejpam-5775	7	7	-	-	PUNCT
ejpam-5775	7	8	oids	oid	NOUN
ejpam-5775	7	9	category	category	NOUN
ejpam-5775	7	10	as	as	ADP
ejpam-5775	7	11	generators	generator	NOUN
ejpam-5775	7	12	of	of	ADP
ejpam-5775	7	13	the	the	DET
ejpam-5775	7	14	category	category	NOUN
ejpam-5775	7	15	of	of	ADP
ejpam-5775	7	16	tangle	tangle	NOUN
ejpam-5775	7	17	[	[	X
ejpam-5775	7	18	5	5	NUM
ejpam-5775	7	19	]	]	PUNCT
ejpam-5775	7	20	and	and	CCONJ
ejpam-5775	7	21	knotoids	knotoid	NOUN
ejpam-5775	7	22	see	see	VERB
ejpam-5775	7	23	[	[	X
ejpam-5775	7	24	3	3	NUM
ejpam-5775	7	25	,	,	PUNCT
ejpam-5775	7	26	6	6	NUM
ejpam-5775	7	27	,	,	PUNCT
ejpam-5775	7	28	9	9	NUM
ejpam-5775	7	29	]	]	PUNCT
ejpam-5775	7	30	)	)	PUNCT
ejpam-5775	7	31	with	with	ADP
ejpam-5775	7	32	some	some	PRON
ejpam-5775	7	33	more	more	ADJ
ejpam-5775	7	34	relations	relation	NOUN
ejpam-5775	7	35	[	[	X
ejpam-5775	7	36	wt13	wt13	PROPN
ejpam-5775	7	37	]	]	PUNCT
ejpam-5775	7	38	,	,	PUNCT
ejpam-5775	7	39	[	[	X
ejpam-5775	7	40	wt14	wt14	X
ejpam-5775	7	41	]	]	PUNCT
ejpam-5775	7	42	that	that	PRON
ejpam-5775	7	43	are	be	AUX
ejpam-5775	7	44	in	in	ADP
ejpam-5775	7	45	the	the	DET
ejpam-5775	7	46	definition	definition	NOUN
ejpam-5775	7	47	of	of	ADP
ejpam-5775	7	48	welded	weld	VERB
ejpam-5775	7	49	tangle	tangle	NOUN
ejpam-5775	7	50	-	-	PUNCT
ejpam-5775	7	51	oid	oid	NOUN
ejpam-5775	7	52	category	category	NOUN
ejpam-5775	7	53	in	in	ADP
ejpam-5775	7	54	section	section	NOUN
ejpam-5775	7	55	2	2	NUM
ejpam-5775	7	56	.	.	PUNCT
ejpam-5775	8	1	so	so	ADV
ejpam-5775	8	2	in	in	ADP
ejpam-5775	8	3	other	other	ADJ
ejpam-5775	8	4	words	word	NOUN
ejpam-5775	8	5	,	,	PUNCT
ejpam-5775	8	6	welded	weld	VERB
ejpam-5775	8	7	tangle	tangle	NOUN
ejpam-5775	8	8	-	-	PUNCT
ejpam-5775	8	9	oids	oid	NOUN
ejpam-5775	8	10	category	category	NOUN
ejpam-5775	8	11	is	be	AUX
ejpam-5775	8	12	a	a	DET
ejpam-5775	8	13	tangle	tangle	NOUN
ejpam-5775	8	14	category	category	NOUN
ejpam-5775	8	15	that	that	PRON
ejpam-5775	8	16	allows	allow	VERB
ejpam-5775	8	17	the	the	DET
ejpam-5775	8	18	strands	strand	NOUN
ejpam-5775	8	19	to	to	PART
ejpam-5775	8	20	break	break	VERB
ejpam-5775	8	21	,	,	PUNCT
ejpam-5775	8	22	that	that	ADV
ejpam-5775	8	23	is	is	ADV
ejpam-5775	8	24	,	,	PUNCT
ejpam-5775	8	25	in	in	ADP
ejpam-5775	8	26	the	the	DET
ejpam-5775	8	27	definition	definition	NOUN
ejpam-5775	8	28	of	of	ADP
ejpam-5775	8	29	tangle	tangle	NOUN
ejpam-5775	8	30	-	-	PUNCT
ejpam-5775	8	31	oids	oid	NOUN
ejpam-5775	8	32	the	the	DET
ejpam-5775	8	33	generators	generator	NOUN
ejpam-5775	8	34	!	!	PUNCT
ejpam-5775	9	1	and	and	CCONJ
ejpam-5775	9	2	¡	¡	NOUN
ejpam-5775	9	3	from	from	ADP
ejpam-5775	9	4	0	0	NUM
ejpam-5775	9	5	to	to	ADP
ejpam-5775	9	6	1	1	NUM
ejpam-5775	9	7	and	and	CCONJ
ejpam-5775	9	8	from	from	ADP
ejpam-5775	9	9	1	1	NUM
ejpam-5775	9	10	to	to	ADP
ejpam-5775	9	11	0	0	NUM
ejpam-5775	9	12	respectively	respectively	ADV
ejpam-5775	9	13	with	with	ADP
ejpam-5775	9	14	some	some	DET
ejpam-5775	9	15	more	more	ADJ
ejpam-5775	9	16	relations	relation	NOUN
ejpam-5775	9	17	.	.	PUNCT
ejpam-5775	10	1	in	in	ADP
ejpam-5775	10	2	[	[	X
ejpam-5775	10	3	7	7	NUM
ejpam-5775	10	4	]	]	PUNCT
ejpam-5775	10	5	,	,	PUNCT
ejpam-5775	10	6	we	we	PRON
ejpam-5775	10	7	have	have	AUX
ejpam-5775	10	8	shown	show	VERB
ejpam-5775	10	9	an	an	DET
ejpam-5775	10	10	application	application	NOUN
ejpam-5775	10	11	of	of	ADP
ejpam-5775	10	12	welded	weld	VERB
ejpam-5775	10	13	tangle	tangle	NOUN
ejpam-5775	10	14	-	-	PUNCT
ejpam-5775	10	15	oids	oid	NOUN
ejpam-5775	10	16	to	to	ADP
ejpam-5775	10	17	effective	effective	ADJ
ejpam-5775	10	18	quantum	quantum	ADJ
ejpam-5775	10	19	field	field	NOUN
ejpam-5775	10	20	theories	theory	NOUN
ejpam-5775	10	21	.	.	PUNCT
ejpam-5775	11	1	effective	effective	ADJ
ejpam-5775	11	2	quantum	quantum	ADJ
ejpam-5775	11	3	field	field	NOUN
ejpam-5775	11	4	theories	theory	NOUN
ejpam-5775	11	5	(	(	PUNCT
ejpam-5775	11	6	eqfts	eqft	NOUN
ejpam-5775	11	7	)	)	PUNCT
ejpam-5775	11	8	are	be	AUX
ejpam-5775	11	9	field	field	NOUN
ejpam-5775	11	10	theories	theory	NOUN
ejpam-5775	11	11	for	for	ADP
ejpam-5775	11	12	composite	composite	ADJ
ejpam-5775	11	13	particles	particle	NOUN
ejpam-5775	11	14	derived	derive	VERB
ejpam-5775	11	15	from	from	ADP
ejpam-5775	11	16	more	more	ADJ
ejpam-5775	11	17	fundamental	fundamental	ADJ
ejpam-5775	11	18	quantum	quantum	ADJ
ejpam-5775	11	19	field	field	NOUN
ejpam-5775	11	20	theories	theory	NOUN
ejpam-5775	11	21	(	(	PUNCT
ejpam-5775	11	22	qfts	qfts	ADJ
ejpam-5775	11	23	)	)	PUNCT
ejpam-5775	11	24	.	.	PUNCT
ejpam-5775	12	1	for	for	ADP
ejpam-5775	12	2	example	example	NOUN
ejpam-5775	12	3	,	,	PUNCT
ejpam-5775	12	4	one	one	PRON
ejpam-5775	12	5	can	can	AUX
ejpam-5775	12	6	derive	derive	VERB
ejpam-5775	12	7	an	an	DET
ejpam-5775	12	8	eqft	eqft	NOUN
ejpam-5775	12	9	for	for	ADP
ejpam-5775	12	10	protons	proton	NOUN
ejpam-5775	12	11	or	or	CCONJ
ejpam-5775	12	12	neutrons	neutron	NOUN
ejpam-5775	12	13	that	that	PRON
ejpam-5775	12	14	are	be	AUX
ejpam-5775	12	15	composed	compose	VERB
ejpam-5775	12	16	on	on	ADP
ejpam-5775	12	17	three	three	NUM
ejpam-5775	12	18	quarks	quark	NOUN
ejpam-5775	12	19	from	from	ADP
ejpam-5775	12	20	quantum	quantum	ADJ
ejpam-5775	12	21	chromodynamics	chromodynamic	NOUN
ejpam-5775	12	22	,	,	PUNCT
ejpam-5775	12	23	the	the	DET
ejpam-5775	12	24	fundamental	fundamental	ADJ
ejpam-5775	12	25	qft	qft	NOUN
ejpam-5775	12	26	for	for	ADP
ejpam-5775	12	27	quarks	quark	NOUN
ejpam-5775	12	28	and	and	CCONJ
ejpam-5775	12	29	gluons	gluon	NOUN
ejpam-5775	12	30	,	,	PUNCT
ejpam-5775	12	31	the	the	DET
ejpam-5775	12	32	elementary	elementary	ADJ
ejpam-5775	12	33	particles	particle	NOUN
ejpam-5775	12	34	that	that	PRON
ejpam-5775	12	35	make	make	VERB
ejpam-5775	12	36	up	up	ADP
ejpam-5775	12	37	protons	proton	NOUN
ejpam-5775	12	38	or	or	CCONJ
ejpam-5775	12	39	neutrons	neutron	NOUN
ejpam-5775	12	40	.	.	PUNCT
ejpam-5775	13	1	in	in	ADP
ejpam-5775	13	2	the	the	DET
ejpam-5775	13	3	category	category	NOUN
ejpam-5775	13	4	of	of	ADP
ejpam-5775	13	5	welded	weld	VERB
ejpam-5775	13	6	tangle	tangle	NOUN
ejpam-5775	13	7	-	-	PUNCT
ejpam-5775	13	8	oids	oid	NOUN
ejpam-5775	13	9	,	,	PUNCT
ejpam-5775	13	10	the	the	DET
ejpam-5775	13	11	generator	generator	NOUN
ejpam-5775	13	12	x	x	PRON
ejpam-5775	13	13	will	will	AUX
ejpam-5775	13	14	come	come	VERB
ejpam-5775	13	15	into	into	ADP
ejpam-5775	13	16	play	play	NOUN
ejpam-5775	13	17	.	.	PUNCT
ejpam-5775	14	1	it	it	PRON
ejpam-5775	14	2	is	be	AUX
ejpam-5775	14	3	a	a	DET
ejpam-5775	14	4	contraction	contraction	NOUN
ejpam-5775	14	5	of	of	ADP
ejpam-5775	14	6	a	a	DET
ejpam-5775	14	7	quartic	quartic	ADJ
ejpam-5775	14	8	vertex	vertex	NOUN
ejpam-5775	14	9	.	.	PUNCT
ejpam-5775	15	1	cubic	cubic	ADJ
ejpam-5775	15	2	vertices	vertex	NOUN
ejpam-5775	15	3	are	be	AUX
ejpam-5775	15	4	also	also	ADV
ejpam-5775	15	5	in	in	ADP
ejpam-5775	15	6	x	x	NOUN
ejpam-5775	15	7	,	,	PUNCT
ejpam-5775	15	8	when	when	SCONJ
ejpam-5775	15	9	two	two	NUM
ejpam-5775	15	10	of	of	ADP
ejpam-5775	15	11	its	its	PRON
ejpam-5775	15	12	four	four	NUM
ejpam-5775	15	13	open	open	ADJ
ejpam-5775	15	14	ends	end	NOUN
ejpam-5775	15	15	are	be	AUX
ejpam-5775	15	16	identified	identify	VERB
ejpam-5775	15	17	to	to	PART
ejpam-5775	15	18	be	be	AUX
ejpam-5775	15	19	equal	equal	ADJ
ejpam-5775	15	20	.	.	PUNCT
ejpam-5775	16	1	it	it	PRON
ejpam-5775	16	2	is	be	AUX
ejpam-5775	16	3	a	a	DET
ejpam-5775	16	4	contraction	contraction	NOUN
ejpam-5775	16	5	of	of	ADP
ejpam-5775	16	6	a	a	DET
ejpam-5775	16	7	quartic	quartic	ADJ
ejpam-5775	16	8	vertex	vertex	NOUN
ejpam-5775	16	9	.	.	PUNCT
ejpam-5775	17	1	cubic	cubic	ADJ
ejpam-5775	17	2	vertices	vertex	NOUN
ejpam-5775	17	3	are	be	AUX
ejpam-5775	17	4	∗corresponding	∗corresponde	VERB
ejpam-5775	17	5	author	author	NOUN
ejpam-5775	17	6	.	.	PUNCT
ejpam-5775	18	1	doi	doi	NOUN
ejpam-5775	18	2	:	:	PUNCT
ejpam-5775	18	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5775	https://doi.org/10.29020/nybg.ejpam.v18i1.5775	VERB
ejpam-5775	18	4	email	email	NOUN
ejpam-5775	18	5	addresses	address	NOUN
ejpam-5775	18	6	:	:	PUNCT
ejpam-5775	19	1	aealbeladi@kau.edu.sa	aealbeladi@kau.edu.sa	PROPN
ejpam-5775	19	2	(	(	PUNCT
ejpam-5775	19	3	h.	h.	PROPN
ejpam-5775	19	4	albeladi	albeladi	PROPN
ejpam-5775	19	5	)	)	PUNCT
ejpam-5775	19	6	,	,	PUNCT
ejpam-5775	19	7	cenap.ozel@gmail.com	cenap.ozel@gmail.com	X
ejpam-5775	19	8	(	(	PUNCT
ejpam-5775	19	9	c.	c.	PROPN
ejpam-5775	19	10	ozel	ozel	PROPN
ejpam-5775	19	11	)	)	PUNCT
ejpam-5775	19	12	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5775	20	1	1	1	NUM
ejpam-5775	20	2	copyright	copyright	NOUN
ejpam-5775	20	3	:	:	PUNCT
ejpam-5775	20	4	©	©	PROPN
ejpam-5775	20	5	2025	2025	NUM
ejpam-5775	20	6	the	the	DET
ejpam-5775	20	7	author(s	author(s	NOUN
ejpam-5775	20	8	)	)	PUNCT
ejpam-5775	20	9	.	.	PUNCT
ejpam-5775	21	1	(	(	PUNCT
ejpam-5775	21	2	cc	cc	NOUN
ejpam-5775	21	3	by	by	ADP
ejpam-5775	21	4	-	-	PUNCT
ejpam-5775	21	5	nc	nc	PROPN
ejpam-5775	21	6	4.0	4.0	NUM
ejpam-5775	21	7	)	)	PUNCT
ejpam-5775	21	8	h.	h.	NOUN
ejpam-5775	21	9	albeladi	albeladi	NOUN
ejpam-5775	21	10	,	,	PUNCT
ejpam-5775	21	11	c.	c.	PROPN
ejpam-5775	21	12	ozel	ozel	PROPN
ejpam-5775	21	13	/	/	SYM
ejpam-5775	21	14	eur	eur	PROPN
ejpam-5775	21	15	.	.	PUNCT
ejpam-5775	22	1	j.	j.	PROPN
ejpam-5775	22	2	pure	pure	PROPN
ejpam-5775	22	3	appl	appl	PROPN
ejpam-5775	22	4	.	.	PROPN
ejpam-5775	22	5	math	math	PROPN
ejpam-5775	22	6	,	,	PUNCT
ejpam-5775	22	7	18	18	NUM
ejpam-5775	22	8	(	(	PUNCT
ejpam-5775	22	9	1	1	NUM
ejpam-5775	22	10	)	)	PUNCT
ejpam-5775	22	11	(	(	PUNCT
ejpam-5775	22	12	2025	2025	NUM
ejpam-5775	22	13	)	)	PUNCT
ejpam-5775	22	14	,	,	PUNCT
ejpam-5775	22	15	5775	5775	NUM
ejpam-5775	22	16	2	2	NUM
ejpam-5775	22	17	of	of	ADP
ejpam-5775	22	18	13	13	NUM
ejpam-5775	22	19	also	also	ADV
ejpam-5775	22	20	in	in	ADP
ejpam-5775	22	21	,	,	PUNCT
ejpam-5775	22	22	when	when	SCONJ
ejpam-5775	22	23	two	two	NUM
ejpam-5775	22	24	of	of	ADP
ejpam-5775	22	25	its	its	PRON
ejpam-5775	22	26	four	four	NUM
ejpam-5775	22	27	open	open	ADJ
ejpam-5775	22	28	ends	end	NOUN
ejpam-5775	22	29	are	be	AUX
ejpam-5775	22	30	identified	identify	VERB
ejpam-5775	22	31	to	to	PART
ejpam-5775	22	32	be	be	AUX
ejpam-5775	22	33	equal	equal	ADJ
ejpam-5775	22	34	.	.	PUNCT
ejpam-5775	23	1	a	a	DET
ejpam-5775	23	2	contraction	contraction	NOUN
ejpam-5775	23	3	will	will	AUX
ejpam-5775	23	4	be	be	AUX
ejpam-5775	23	5	of	of	ADP
ejpam-5775	23	6	generator	generator	NOUN
ejpam-5775	23	7	type	type	NOUN
ejpam-5775	23	8	,	,	PUNCT
ejpam-5775	23	9	that	that	SCONJ
ejpam-5775	23	10	leading	lead	VERB
ejpam-5775	23	11	just	just	ADV
ejpam-5775	23	12	from	from	ADP
ejpam-5775	23	13	one	one	NUM
ejpam-5775	23	14	field	field	NOUN
ejpam-5775	23	15	to	to	ADP
ejpam-5775	23	16	another	another	PRON
ejpam-5775	23	17	within	within	ADP
ejpam-5775	23	18	a	a	DET
ejpam-5775	23	19	polynomial	polynomial	ADJ
ejpam-5775	23	20	depicted	depict	VERB
ejpam-5775	23	21	by	by	ADP
ejpam-5775	23	22	(	(	PUNCT
ejpam-5775	23	23	same	same	ADJ
ejpam-5775	23	24	indices	index	NOUN
ejpam-5775	23	25	)	)	PUNCT
ejpam-5775	23	26	or	or	CCONJ
ejpam-5775	23	27	within	within	ADP
ejpam-5775	23	28	different	different	ADJ
ejpam-5775	23	29	-polynomials	-polynomial	NOUN
ejpam-5775	23	30	(	(	PUNCT
ejpam-5775	23	31	different	different	ADJ
ejpam-5775	23	32	indices	index	NOUN
ejpam-5775	23	33	)	)	PUNCT
ejpam-5775	23	34	.	.	PUNCT
ejpam-5775	24	1	moreover	moreover	ADV
ejpam-5775	24	2	,	,	PUNCT
ejpam-5775	24	3	they	they	PRON
ejpam-5775	24	4	may	may	AUX
ejpam-5775	24	5	also	also	ADV
ejpam-5775	24	6	depict	depict	VERB
ejpam-5775	24	7	these	these	DET
ejpam-5775	24	8	contractions	contraction	NOUN
ejpam-5775	24	9	.	.	PUNCT
ejpam-5775	25	1	distinction	distinction	NOUN
ejpam-5775	25	2	between	between	ADP
ejpam-5775	25	3	and	and	CCONJ
ejpam-5775	25	4	will	will	AUX
ejpam-5775	25	5	be	be	AUX
ejpam-5775	25	6	time	time	NOUN
ejpam-5775	25	7	ordering	ordering	NOUN
ejpam-5775	25	8	:	:	PUNCT
ejpam-5775	25	9	will	will	AUX
ejpam-5775	25	10	occur	occur	VERB
ejpam-5775	25	11	if	if	SCONJ
ejpam-5775	25	12	fields	field	NOUN
ejpam-5775	25	13	on	on	ADP
ejpam-5775	25	14	different	different	ADJ
ejpam-5775	25	15	times	time	NOUN
ejpam-5775	25	16	will	will	AUX
ejpam-5775	25	17	be	be	AUX
ejpam-5775	25	18	contracted	contract	VERB
ejpam-5775	25	19	,	,	PUNCT
ejpam-5775	25	20	are	be	AUX
ejpam-5775	25	21	contraction	contraction	NOUN
ejpam-5775	25	22	on	on	ADP
ejpam-5775	25	23	equal	equal	ADJ
ejpam-5775	25	24	times	time	NOUN
ejpam-5775	25	25	.	.	PUNCT
ejpam-5775	26	1	in	in	ADP
ejpam-5775	26	2	case	case	NOUN
ejpam-5775	26	3	of	of	ADP
ejpam-5775	26	4	non	non	ADJ
ejpam-5775	26	5	-	-	ADJ
ejpam-5775	26	6	contracted	contract	VERB
ejpam-5775	26	7	variables	variable	NOUN
ejpam-5775	26	8	,	,	PUNCT
ejpam-5775	26	9	we	we	PRON
ejpam-5775	26	10	have	have	VERB
ejpam-5775	26	11	generators	generator	NOUN
ejpam-5775	26	12	,	,	PUNCT
ejpam-5775	26	13	open	open	ADJ
ejpam-5775	26	14	ends	end	VERB
ejpam-5775	26	15	in	in	ADP
ejpam-5775	26	16	graphs	graph	NOUN
ejpam-5775	26	17	.	.	PUNCT
ejpam-5775	27	1	this	this	PRON
ejpam-5775	27	2	happens	happen	VERB
ejpam-5775	27	3	,	,	PUNCT
ejpam-5775	27	4	if	if	SCONJ
ejpam-5775	27	5	elementary	elementary	ADJ
ejpam-5775	27	6	quantum	quantum	NOUN
ejpam-5775	27	7	fields	field	NOUN
ejpam-5775	27	8	still	still	ADV
ejpam-5775	27	9	matter	matter	VERB
ejpam-5775	27	10	in	in	ADP
ejpam-5775	27	11	effective	effective	ADJ
ejpam-5775	27	12	theories	theory	NOUN
ejpam-5775	27	13	like	like	ADP
ejpam-5775	27	14	when	when	SCONJ
ejpam-5775	27	15	treating	treat	VERB
ejpam-5775	27	16	atoms	atom	NOUN
ejpam-5775	27	17	or	or	CCONJ
ejpam-5775	27	18	molecules	molecule	NOUN
ejpam-5775	27	19	,	,	PUNCT
ejpam-5775	27	20	but	but	CCONJ
ejpam-5775	27	21	electron	electron	NOUN
ejpam-5775	27	22	and/or	and/or	CCONJ
ejpam-5775	27	23	photon	photon	PROPN
ejpam-5775	27	24	(	(	PUNCT
ejpam-5775	27	25	are	be	AUX
ejpam-5775	27	26	particles	particle	NOUN
ejpam-5775	27	27	arising	arise	VERB
ejpam-5775	27	28	in	in	ADP
ejpam-5775	27	29	the	the	DET
ejpam-5775	27	30	more	more	ADV
ejpam-5775	27	31	fundamental	fundamental	ADJ
ejpam-5775	27	32	theory	theory	NOUN
ejpam-5775	27	33	of	of	ADP
ejpam-5775	27	34	quantum	quantum	ADJ
ejpam-5775	27	35	electrodynamics	electrodynamic	NOUN
ejpam-5775	27	36	)	)	PUNCT
ejpam-5775	27	37	dynamics	dynamic	NOUN
ejpam-5775	27	38	still	still	ADV
ejpam-5775	27	39	matter	matter	VERB
ejpam-5775	27	40	.	.	PUNCT
ejpam-5775	28	1	finally	finally	ADV
ejpam-5775	28	2	,	,	PUNCT
ejpam-5775	28	3	we	we	PRON
ejpam-5775	28	4	have	have	VERB
ejpam-5775	28	5	the	the	DET
ejpam-5775	28	6	general	general	ADJ
ejpam-5775	28	7	case	case	NOUN
ejpam-5775	28	8	with	with	ADP
ejpam-5775	28	9	,	,	PUNCT
ejpam-5775	28	10	where	where	SCONJ
ejpam-5775	28	11	interaction	interaction	NOUN
ejpam-5775	28	12	vertices	vertice	VERB
ejpam-5775	28	13	matter	matter	NOUN
ejpam-5775	28	14	.	.	PUNCT
ejpam-5775	29	1	here	here	ADV
ejpam-5775	29	2	,	,	PUNCT
ejpam-5775	29	3	the	the	DET
ejpam-5775	29	4	generator	generator	NOUN
ejpam-5775	29	5	will	will	AUX
ejpam-5775	29	6	come	come	VERB
ejpam-5775	29	7	into	into	ADP
ejpam-5775	29	8	play	play	NOUN
ejpam-5775	29	9	.	.	PUNCT
ejpam-5775	30	1	it	it	PRON
ejpam-5775	30	2	is	be	AUX
ejpam-5775	30	3	a	a	DET
ejpam-5775	30	4	contraction	contraction	NOUN
ejpam-5775	30	5	of	of	ADP
ejpam-5775	30	6	a	a	DET
ejpam-5775	30	7	quartic	quartic	ADJ
ejpam-5775	30	8	vertex	vertex	NOUN
ejpam-5775	30	9	.	.	PUNCT
ejpam-5775	31	1	cubic	cubic	ADJ
ejpam-5775	31	2	vertices	vertex	NOUN
ejpam-5775	31	3	are	be	AUX
ejpam-5775	31	4	also	also	ADV
ejpam-5775	31	5	in	in	ADP
ejpam-5775	31	6	when	when	SCONJ
ejpam-5775	31	7	two	two	NUM
ejpam-5775	31	8	of	of	ADP
ejpam-5775	31	9	its	its	PRON
ejpam-5775	31	10	four	four	NUM
ejpam-5775	31	11	open	open	ADJ
ejpam-5775	31	12	ends	end	NOUN
ejpam-5775	31	13	are	be	AUX
ejpam-5775	31	14	identified	identify	VERB
ejpam-5775	31	15	to	to	PART
ejpam-5775	31	16	be	be	AUX
ejpam-5775	31	17	equal	equal	ADJ
ejpam-5775	31	18	.	.	PUNCT
ejpam-5775	32	1	so	so	ADV
ejpam-5775	32	2	this	this	DET
ejpam-5775	32	3	category	category	NOUN
ejpam-5775	32	4	will	will	AUX
ejpam-5775	32	5	resemble	resemble	VERB
ejpam-5775	32	6	all	all	DET
ejpam-5775	32	7	possible	possible	ADJ
ejpam-5775	32	8	contractions	contraction	NOUN
ejpam-5775	32	9	performed	perform	VERB
ejpam-5775	32	10	when	when	SCONJ
ejpam-5775	32	11	transitioning	transition	VERB
ejpam-5775	32	12	from	from	ADP
ejpam-5775	32	13	a	a	DET
ejpam-5775	32	14	fundamental	fundamental	ADJ
ejpam-5775	32	15	theory	theory	NOUN
ejpam-5775	32	16	with	with	ADP
ejpam-5775	32	17	up	up	ADP
ejpam-5775	32	18	to	to	ADP
ejpam-5775	32	19	quartic	quartic	ADJ
ejpam-5775	32	20	vertices	vertex	NOUN
ejpam-5775	32	21	to	to	ADP
ejpam-5775	32	22	an	an	DET
ejpam-5775	32	23	effective	effective	ADJ
ejpam-5775	32	24	theory	theory	NOUN
ejpam-5775	32	25	.	.	PUNCT
ejpam-5775	33	1	it	it	PRON
ejpam-5775	33	2	distinguishes	distinguish	VERB
ejpam-5775	33	3	between	between	ADP
ejpam-5775	33	4	equal	equal	ADJ
ejpam-5775	33	5	-	-	PUNCT
ejpam-5775	33	6	time	time	NOUN
ejpam-5775	33	7	contractions	contraction	NOUN
ejpam-5775	33	8	(	(	PUNCT
ejpam-5775	33	9	pure	pure	ADJ
ejpam-5775	33	10	compositions	composition	NOUN
ejpam-5775	33	11	of	of	ADP
ejpam-5775	33	12	elementary	elementary	ADJ
ejpam-5775	33	13	particles	particle	NOUN
ejpam-5775	33	14	,	,	PUNCT
ejpam-5775	33	15	e.g.	e.g.	ADV
ejpam-5775	33	16	atoms	atom	NOUN
ejpam-5775	33	17	and	and	CCONJ
ejpam-5775	33	18	molecules	molecule	NOUN
ejpam-5775	33	19	)	)	PUNCT
ejpam-5775	33	20	and	and	CCONJ
ejpam-5775	33	21	different	different	ADJ
ejpam-5775	33	22	-	-	PUNCT
ejpam-5775	33	23	time	time	NOUN
ejpam-5775	33	24	contractions	contraction	NOUN
ejpam-5775	33	25	(	(	PUNCT
ejpam-5775	33	26	quasiparticles	quasiparticle	NOUN
ejpam-5775	33	27	which	which	PRON
ejpam-5775	33	28	carry	carry	VERB
ejpam-5775	33	29	information	information	NOUN
ejpam-5775	33	30	on	on	ADP
ejpam-5775	33	31	specific	specific	ADJ
ejpam-5775	33	32	dynamic	dynamic	ADJ
ejpam-5775	33	33	behavior	behavior	NOUN
ejpam-5775	33	34	,	,	PUNCT
ejpam-5775	33	35	e.g.	e.g.	ADV
ejpam-5775	33	36	clusters	cluster	NOUN
ejpam-5775	33	37	linked	link	VERB
ejpam-5775	33	38	to	to	ADP
ejpam-5775	33	39	certain	certain	ADJ
ejpam-5775	33	40	scattering	scatter	VERB
ejpam-5775	33	41	processes	process	NOUN
ejpam-5775	33	42	.	.	PUNCT
ejpam-5775	34	1	in	in	ADP
ejpam-5775	34	2	the	the	DET
ejpam-5775	34	3	paper	paper	NOUN
ejpam-5775	34	4	[	[	X
ejpam-5775	34	5	8	8	X
ejpam-5775	34	6	]	]	PUNCT
ejpam-5775	34	7	we	we	PRON
ejpam-5775	34	8	apply	apply	VERB
ejpam-5775	34	9	tangle	tangle	NOUN
ejpam-5775	34	10	-	-	PUNCT
ejpam-5775	34	11	oids	oid	NOUN
ejpam-5775	34	12	to	to	ADP
ejpam-5775	34	13	biosystems	biosystems	PROPN
ejpam-5775	34	14	using	use	VERB
ejpam-5775	34	15	effective	effective	ADJ
ejpam-5775	34	16	quantum	quantum	ADJ
ejpam-5775	34	17	field	field	NOUN
ejpam-5775	34	18	theories	theory	NOUN
ejpam-5775	34	19	(	(	PUNCT
ejpam-5775	34	20	eqft	eqft	NOUN
ejpam-5775	34	21	)	)	PUNCT
ejpam-5775	34	22	.	.	PUNCT
ejpam-5775	35	1	the	the	DET
ejpam-5775	35	2	open	open	ADJ
ejpam-5775	35	3	question	question	NOUN
ejpam-5775	35	4	whether	whether	SCONJ
ejpam-5775	35	5	quantum	quantum	ADJ
ejpam-5775	35	6	field	field	NOUN
ejpam-5775	35	7	theories	theory	NOUN
ejpam-5775	35	8	can	can	AUX
ejpam-5775	35	9	be	be	AUX
ejpam-5775	35	10	used	use	VERB
ejpam-5775	35	11	in	in	ADP
ejpam-5775	35	12	biological	biological	ADJ
ejpam-5775	35	13	systems	system	NOUN
ejpam-5775	35	14	will	will	AUX
ejpam-5775	35	15	be	be	AUX
ejpam-5775	35	16	addressed	address	VERB
ejpam-5775	35	17	in	in	ADP
ejpam-5775	35	18	this	this	DET
ejpam-5775	35	19	study	study	NOUN
ejpam-5775	35	20	.	.	PUNCT
ejpam-5775	36	1	quantum	quantum	ADJ
ejpam-5775	36	2	effects	effect	NOUN
ejpam-5775	36	3	were	be	AUX
ejpam-5775	36	4	reported	report	VERB
ejpam-5775	36	5	for	for	ADP
ejpam-5775	36	6	certain	certain	ADJ
ejpam-5775	36	7	biological	biological	ADJ
ejpam-5775	36	8	systems	system	NOUN
ejpam-5775	36	9	like	like	ADP
ejpam-5775	36	10	the	the	DET
ejpam-5775	36	11	magnetic	magnetic	ADJ
ejpam-5775	36	12	orientation	orientation	NOUN
ejpam-5775	36	13	sense	sense	NOUN
ejpam-5775	36	14	in	in	ADP
ejpam-5775	36	15	migratory	migratory	ADJ
ejpam-5775	36	16	birds	bird	NOUN
ejpam-5775	36	17	.	.	PUNCT
ejpam-5775	37	1	in	in	ADP
ejpam-5775	37	2	quantum	quantum	ADJ
ejpam-5775	37	3	field	field	NOUN
ejpam-5775	37	4	theories	theory	NOUN
ejpam-5775	37	5	,	,	PUNCT
ejpam-5775	37	6	it	it	PRON
ejpam-5775	37	7	is	be	AUX
ejpam-5775	37	8	possible	possible	ADJ
ejpam-5775	37	9	to	to	PART
ejpam-5775	37	10	derive	derive	VERB
ejpam-5775	37	11	effective	effective	ADJ
ejpam-5775	37	12	quantum	quantum	ADJ
ejpam-5775	37	13	field	field	NOUN
ejpam-5775	37	14	theories	theory	NOUN
ejpam-5775	37	15	with	with	ADP
ejpam-5775	37	16	welded	weld	VERB
ejpam-5775	37	17	tangle	tangle	NOUN
ejpam-5775	37	18	-	-	PUNCT
ejpam-5775	37	19	oids	oid	NOUN
ejpam-5775	37	20	including	include	VERB
ejpam-5775	37	21	braid	braid	NOUN
ejpam-5775	37	22	relations	relation	NOUN
ejpam-5775	37	23	that	that	PRON
ejpam-5775	37	24	describe	describe	VERB
ejpam-5775	37	25	composite	composite	ADJ
ejpam-5775	37	26	particles	particle	NOUN
ejpam-5775	37	27	based	base	VERB
ejpam-5775	37	28	on	on	ADP
ejpam-5775	37	29	the	the	DET
ejpam-5775	37	30	dynamics	dynamic	NOUN
ejpam-5775	37	31	of	of	ADP
ejpam-5775	37	32	microscopic	microscopic	ADJ
ejpam-5775	37	33	particle	particle	NOUN
ejpam-5775	37	34	where	where	SCONJ
ejpam-5775	37	35	these	these	DET
ejpam-5775	37	36	composite	composite	ADJ
ejpam-5775	37	37	particles	particle	NOUN
ejpam-5775	37	38	are	be	AUX
ejpam-5775	37	39	made	make	VERB
ejpam-5775	37	40	of	of	ADP
ejpam-5775	37	41	.	.	PUNCT
ejpam-5775	38	1	we	we	PRON
ejpam-5775	38	2	observe	observe	VERB
ejpam-5775	38	3	that	that	SCONJ
ejpam-5775	38	4	the	the	DET
ejpam-5775	38	5	generators	generator	NOUN
ejpam-5775	38	6	of	of	ADP
ejpam-5775	38	7	the	the	DET
ejpam-5775	38	8	tangle	tangle	NOUN
ejpam-5775	38	9	-	-	PUNCT
ejpam-5775	38	10	oid	oid	NOUN
ejpam-5775	38	11	category	category	NOUN
ejpam-5775	38	12	that	that	PRON
ejpam-5775	38	13	will	will	AUX
ejpam-5775	38	14	depict	depict	VERB
ejpam-5775	38	15	the	the	DET
ejpam-5775	38	16	feynman	feynman	PROPN
ejpam-5775	38	17	graphs	graph	NOUN
ejpam-5775	38	18	are	be	AUX
ejpam-5775	38	19	generators	generator	NOUN
ejpam-5775	38	20	x	x	PUNCT
ejpam-5775	38	21	for	for	ADP
ejpam-5775	38	22	a	a	DET
ejpam-5775	38	23	scattering	scatter	VERB
ejpam-5775	38	24	vertex	vertex	NOUN
ejpam-5775	38	25	.	.	PUNCT
ejpam-5775	39	1	this	this	PRON
ejpam-5775	39	2	arises	arise	VERB
ejpam-5775	39	3	after	after	ADP
ejpam-5775	39	4	carrying	carry	VERB
ejpam-5775	39	5	out	out	ADP
ejpam-5775	39	6	the	the	DET
ejpam-5775	39	7	integral	integral	ADJ
ejpam-5775	39	8	over	over	ADP
ejpam-5775	39	9	bosonic	bosonic	NOUN
ejpam-5775	39	10	fields	field	NOUN
ejpam-5775	39	11	aµ	aµ	PROPN
ejpam-5775	39	12	in	in	ADP
ejpam-5775	39	13	the	the	DET
ejpam-5775	39	14	partition	partition	NOUN
ejpam-5775	39	15	function	function	NOUN
ejpam-5775	39	16	that	that	PRON
ejpam-5775	39	17	will	will	AUX
ejpam-5775	39	18	lead	lead	VERB
ejpam-5775	39	19	to	to	ADP
ejpam-5775	39	20	a	a	DET
ejpam-5775	39	21	four	four	NUM
ejpam-5775	39	22	-	-	PUNCT
ejpam-5775	39	23	valent	valent	NOUN
ejpam-5775	39	24	interaction	interaction	NOUN
ejpam-5775	39	25	vertex	vertex	NOUN
ejpam-5775	39	26	generated	generate	VERB
ejpam-5775	39	27	by	by	ADP
ejpam-5775	39	28	a	a	DET
ejpam-5775	39	29	quartic	quartic	ADJ
ejpam-5775	39	30	term	term	NOUN
ejpam-5775	39	31	in	in	ADP
ejpam-5775	39	32	the	the	DET
ejpam-5775	39	33	fermionic	fermionic	NOUN
ejpam-5775	39	34	fields	field	NOUN
ejpam-5775	39	35	.	.	PUNCT
ejpam-5775	40	1	with	with	ADP
ejpam-5775	40	2	x+	x+	NUM
ejpam-5775	40	3	and	and	CCONJ
ejpam-5775	40	4	x−	x−	PROPN
ejpam-5775	40	5	we	we	PRON
ejpam-5775	40	6	depicted	depict	VERB
ejpam-5775	40	7	order	order	NOUN
ejpam-5775	40	8	changes	change	NOUN
ejpam-5775	40	9	like	like	ADP
ejpam-5775	40	10	that	that	PRON
ejpam-5775	40	11	regarding	regard	VERB
ejpam-5775	40	12	time	time	NOUN
ejpam-5775	40	13	orderings	ordering	NOUN
ejpam-5775	40	14	.	.	PUNCT
ejpam-5775	41	1	ordinary	ordinary	ADJ
ejpam-5775	41	2	propagators	propagator	NOUN
ejpam-5775	41	3	are	be	AUX
ejpam-5775	41	4	depicted	depict	VERB
ejpam-5775	41	5	by	by	ADP
ejpam-5775	41	6	∪	∪	NOUN
ejpam-5775	41	7	and	and	CCONJ
ejpam-5775	41	8	∩.	∩.	VERB
ejpam-5775	41	9	finally	finally	ADV
ejpam-5775	41	10	,	,	PUNCT
ejpam-5775	41	11	the	the	DET
ejpam-5775	41	12	generators	generator	NOUN
ejpam-5775	41	13	!	!	PUNCT
ejpam-5775	42	1	and	and	CCONJ
ejpam-5775	42	2	¡	¡	PROPN
ejpam-5775	42	3	come	come	VERB
ejpam-5775	42	4	into	into	ADP
ejpam-5775	42	5	play	play	NOUN
ejpam-5775	42	6	if	if	SCONJ
ejpam-5775	42	7	other	other	ADJ
ejpam-5775	42	8	foreign	foreign	ADJ
ejpam-5775	42	9	fields	field	NOUN
ejpam-5775	42	10	are	be	AUX
ejpam-5775	42	11	picked	pick	VERB
ejpam-5775	42	12	up	up	ADP
ejpam-5775	42	13	.	.	PUNCT
ejpam-5775	43	1	in	in	ADP
ejpam-5775	43	2	this	this	DET
ejpam-5775	43	3	paper	paper	NOUN
ejpam-5775	43	4	,	,	PUNCT
ejpam-5775	43	5	we	we	PRON
ejpam-5775	43	6	define	define	VERB
ejpam-5775	43	7	a	a	DET
ejpam-5775	43	8	new	new	ADJ
ejpam-5775	43	9	product	product	NOUN
ejpam-5775	43	10	over	over	ADP
ejpam-5775	43	11	these	these	DET
ejpam-5775	43	12	categories	category	NOUN
ejpam-5775	43	13	and	and	CCONJ
ejpam-5775	43	14	prove	prove	VERB
ejpam-5775	43	15	it	it	PRON
ejpam-5775	43	16	is	be	AUX
ejpam-5775	43	17	associative	associative	ADJ
ejpam-5775	43	18	algebra	algebra	NOUN
ejpam-5775	43	19	by	by	ADP
ejpam-5775	43	20	this	this	DET
ejpam-5775	43	21	product	product	NOUN
ejpam-5775	43	22	and	and	CCONJ
ejpam-5775	43	23	formal	formal	ADJ
ejpam-5775	43	24	addition	addition	NOUN
ejpam-5775	43	25	.	.	PUNCT
ejpam-5775	44	1	here	here	ADV
ejpam-5775	44	2	our	our	PRON
ejpam-5775	44	3	motivation	motivation	NOUN
ejpam-5775	44	4	is	be	AUX
ejpam-5775	44	5	classifying	classify	VERB
ejpam-5775	44	6	all	all	DET
ejpam-5775	44	7	objects	object	NOUN
ejpam-5775	44	8	in	in	ADP
ejpam-5775	44	9	the	the	DET
ejpam-5775	44	10	category	category	NOUN
ejpam-5775	44	11	of	of	ADP
ejpam-5775	44	12	tangle	tangle	NOUN
ejpam-5775	44	13	-	-	PUNCT
ejpam-5775	44	14	oids	oid	NOUN
ejpam-5775	44	15	.	.	PUNCT
ejpam-5775	45	1	in	in	ADP
ejpam-5775	45	2	this	this	DET
ejpam-5775	45	3	paper	paper	NOUN
ejpam-5775	45	4	in	in	ADP
ejpam-5775	45	5	section	section	NOUN
ejpam-5775	45	6	2	2	NUM
ejpam-5775	45	7	we	we	PRON
ejpam-5775	45	8	describe	describe	VERB
ejpam-5775	45	9	welded	weld	VERB
ejpam-5775	45	10	tangle	tangle	NOUN
ejpam-5775	45	11	-	-	PUNCT
ejpam-5775	45	12	oid	oid	NOUN
ejpam-5775	45	13	category	category	NOUN
ejpam-5775	45	14	and	and	CCONJ
ejpam-5775	45	15	in	in	ADP
ejpam-5775	45	16	section	section	NOUN
ejpam-5775	45	17	3	3	NUM
ejpam-5775	45	18	we	we	PRON
ejpam-5775	45	19	define	define	VERB
ejpam-5775	45	20	a	a	DET
ejpam-5775	45	21	new	new	ADJ
ejpam-5775	45	22	product	product	NOUN
ejpam-5775	45	23	in	in	ADP
ejpam-5775	45	24	this	this	DET
ejpam-5775	45	25	category	category	NOUN
ejpam-5775	45	26	giving	give	VERB
ejpam-5775	45	27	relations	relation	NOUN
ejpam-5775	45	28	and	and	CCONJ
ejpam-5775	45	29	generators	generator	NOUN
ejpam-5775	45	30	using	use	VERB
ejpam-5775	45	31	the	the	DET
ejpam-5775	45	32	relationship	relationship	NOUN
ejpam-5775	45	33	between	between	ADP
ejpam-5775	45	34	this	this	DET
ejpam-5775	45	35	new	new	ADJ
ejpam-5775	45	36	product	product	NOUN
ejpam-5775	45	37	and	and	CCONJ
ejpam-5775	45	38	tensor	tensor	NOUN
ejpam-5775	45	39	and	and	CCONJ
ejpam-5775	45	40	composition	composition	NOUN
ejpam-5775	45	41	.	.	PUNCT
ejpam-5775	46	1	finally	finally	ADV
ejpam-5775	46	2	,	,	PUNCT
ejpam-5775	46	3	we	we	PRON
ejpam-5775	46	4	conclude	conclude	VERB
ejpam-5775	46	5	by	by	ADP
ejpam-5775	46	6	conclusion	conclusion	NOUN
ejpam-5775	46	7	and	and	CCONJ
ejpam-5775	46	8	future	future	ADJ
ejpam-5775	46	9	works	work	NOUN
ejpam-5775	46	10	section	section	NOUN
ejpam-5775	46	11	.	.	PUNCT
ejpam-5775	47	1	2	2	X
ejpam-5775	47	2	.	.	NUM
ejpam-5775	47	3	unoriented	unoriente	VERB
ejpam-5775	47	4	welded	weld	VERB
ejpam-5775	47	5	tangle	tangle	NOUN
ejpam-5775	47	6	-	-	PUNCT
ejpam-5775	47	7	oids	oid	NOUN
ejpam-5775	47	8	in	in	ADP
ejpam-5775	47	9	this	this	DET
ejpam-5775	47	10	section	section	NOUN
ejpam-5775	47	11	we	we	PRON
ejpam-5775	47	12	review	review	VERB
ejpam-5775	47	13	the	the	DET
ejpam-5775	47	14	definition	definition	NOUN
ejpam-5775	47	15	of	of	ADP
ejpam-5775	47	16	welded	weld	VERB
ejpam-5775	47	17	tangle	tangle	NOUN
ejpam-5775	47	18	-	-	PUNCT
ejpam-5775	47	19	oids	oid	NOUN
ejpam-5775	47	20	categories	category	NOUN
ejpam-5775	47	21	defined	define	VERB
ejpam-5775	47	22	in	in	ADP
ejpam-5775	47	23	[	[	X
ejpam-5775	47	24	2	2	NUM
ejpam-5775	47	25	]	]	PUNCT
ejpam-5775	47	26	.	.	PUNCT
ejpam-5775	48	1	a	a	DET
ejpam-5775	48	2	monoidal	monoidal	ADJ
ejpam-5775	48	3	category	category	NOUN
ejpam-5775	48	4	(	(	PUNCT
ejpam-5775	48	5	see	see	VERB
ejpam-5775	48	6	for	for	ADP
ejpam-5775	48	7	example	example	NOUN
ejpam-5775	48	8	[	[	X
ejpam-5775	48	9	5	5	NUM
ejpam-5775	48	10	]	]	PUNCT
ejpam-5775	48	11	)	)	PUNCT
ejpam-5775	48	12	of	of	ADP
ejpam-5775	48	13	unoriented	unoriented	ADJ
ejpam-5775	48	14	welded	weld	VERB
ejpam-5775	48	15	tangle	tangle	NOUN
ejpam-5775	48	16	-	-	PUNCT
ejpam-5775	48	17	oids	oid	NOUN
ejpam-5775	48	18	have	have	AUX
ejpam-5775	48	19	defined	define	VERB
ejpam-5775	48	20	by	by	ADP
ejpam-5775	48	21	giving	give	VERB
ejpam-5775	48	22	a	a	DET
ejpam-5775	48	23	presentation	presentation	NOUN
ejpam-5775	48	24	by	by	ADP
ejpam-5775	48	25	using	use	VERB
ejpam-5775	48	26	presentation	presentation	NOUN
ejpam-5775	48	27	of	of	ADP
ejpam-5775	48	28	slideable	slideable	ADJ
ejpam-5775	48	29	1	1	NUM
ejpam-5775	48	30	2	2	NUM
ejpam-5775	48	31	-monoidal	-monoidal	NOUN
ejpam-5775	48	32	categories	category	NOUN
ejpam-5775	48	33	[	[	X
ejpam-5775	48	34	2	2	NUM
ejpam-5775	48	35	]	]	PUNCT
ejpam-5775	48	36	.	.	PUNCT
ejpam-5775	49	1	h.	h.	PROPN
ejpam-5775	49	2	albeladi	albeladi	PROPN
ejpam-5775	49	3	,	,	PUNCT
ejpam-5775	49	4	c.	c.	PROPN
ejpam-5775	49	5	ozel	ozel	PROPN
ejpam-5775	49	6	/	/	SYM
ejpam-5775	49	7	eur	eur	PROPN
ejpam-5775	49	8	.	.	PUNCT
ejpam-5775	50	1	j.	j.	PROPN
ejpam-5775	50	2	pure	pure	PROPN
ejpam-5775	50	3	appl	appl	PROPN
ejpam-5775	50	4	.	.	PROPN
ejpam-5775	50	5	math	math	PROPN
ejpam-5775	50	6	,	,	PUNCT
ejpam-5775	50	7	18	18	NUM
ejpam-5775	50	8	(	(	PUNCT
ejpam-5775	50	9	1	1	NUM
ejpam-5775	50	10	)	)	PUNCT
ejpam-5775	50	11	(	(	PUNCT
ejpam-5775	50	12	2025	2025	NUM
ejpam-5775	50	13	)	)	PUNCT
ejpam-5775	50	14	,	,	PUNCT
ejpam-5775	50	15	5775	5775	NUM
ejpam-5775	50	16	3	3	NUM
ejpam-5775	50	17	of	of	ADP
ejpam-5775	50	18	13	13	NUM
ejpam-5775	50	19	definition	definition	NOUN
ejpam-5775	50	20	1	1	NUM
ejpam-5775	50	21	.	.	PUNCT
ejpam-5775	51	1	[	[	X
ejpam-5775	51	2	2	2	NUM
ejpam-5775	51	3	,	,	PUNCT
ejpam-5775	51	4	definition	definition	NOUN
ejpam-5775	51	5	7.2.1	7.2.1	NUM
ejpam-5775	51	6	]	]	PUNCT
ejpam-5775	51	7	consider	consider	VERB
ejpam-5775	51	8	the	the	DET
ejpam-5775	51	9	monoidal	monoidal	ADJ
ejpam-5775	51	10	graph	graph	NOUN
ejpam-5775	51	11	β	β	X
ejpam-5775	51	12	=	=	SYM
ejpam-5775	51	13	(	(	PUNCT
ejpam-5775	51	14	n	n	CCONJ
ejpam-5775	51	15	,	,	PUNCT
ejpam-5775	51	16	e(β),⊗0	e(β),⊗0	NOUN
ejpam-5775	51	17	,	,	PUNCT
ejpam-5775	51	18	0	0	NUM
ejpam-5775	51	19	,	,	PUNCT
ejpam-5775	51	20	δ1	δ1	NOUN
ejpam-5775	51	21	,	,	PUNCT
ejpam-5775	51	22	δ2	δ2	PROPN
ejpam-5775	51	23	)	)	PUNCT
ejpam-5775	51	24	,	,	PUNCT
ejpam-5775	51	25	where	where	SCONJ
ejpam-5775	51	26	for	for	ADP
ejpam-5775	51	27	all	all	DET
ejpam-5775	51	28	m	m	PROPN
ejpam-5775	51	29	,	,	PUNCT
ejpam-5775	51	30	n	n	PROPN
ejpam-5775	51	31	∈	∈	PROPN
ejpam-5775	51	32	n	n	CCONJ
ejpam-5775	51	33	,	,	PUNCT
ejpam-5775	51	34	m⊗0	m⊗0	NOUN
ejpam-5775	51	35	n	n	NOUN
ejpam-5775	51	36	=	=	SYM
ejpam-5775	51	37	m+	m+	NUM
ejpam-5775	51	38	n	n	CCONJ
ejpam-5775	51	39	,	,	PUNCT
ejpam-5775	51	40	and	and	CCONJ
ejpam-5775	51	41	e(β	e(β	NOUN
ejpam-5775	51	42	)	)	PUNCT
ejpam-5775	51	43	=	=	PRON
ejpam-5775	51	44	{	{	PUNCT
ejpam-5775	51	45	x+	x+	PROPN
ejpam-5775	51	46	,	,	PUNCT
ejpam-5775	51	47	x−	x−	PROPN
ejpam-5775	51	48	,	,	PUNCT
ejpam-5775	51	49	x,∪,∩	x,∪,∩	PROPN
ejpam-5775	51	50	,	,	PUNCT
ejpam-5775	51	51	¡	¡	PROPN
ejpam-5775	51	52	,	,	PUNCT
ejpam-5775	51	53	!	!	PUNCT
ejpam-5775	51	54	}	}	PUNCT
ejpam-5775	51	55	,	,	PUNCT
ejpam-5775	51	56	the	the	DET
ejpam-5775	51	57	incidence	incidence	NOUN
ejpam-5775	51	58	maps	map	VERB
ejpam-5775	51	59	δ1x+	δ1x+	NOUN
ejpam-5775	51	60	=	=	SYM
ejpam-5775	51	61	2	2	NUM
ejpam-5775	51	62	,	,	PUNCT
ejpam-5775	51	63	δ2x+	δ2x+	CCONJ
ejpam-5775	51	64	=	=	SYM
ejpam-5775	51	65	2	2	NUM
ejpam-5775	51	66	,	,	PUNCT
ejpam-5775	51	67	δ1x−	δ1x−	NOUN
ejpam-5775	51	68	=	=	SYM
ejpam-5775	51	69	2	2	NUM
ejpam-5775	51	70	,	,	PUNCT
ejpam-5775	51	71	δ2x−	δ2x−	VERB
ejpam-5775	51	72	=	=	NOUN
ejpam-5775	51	73	2	2	NUM
ejpam-5775	51	74	,	,	PUNCT
ejpam-5775	51	75	δ1x	δ1x	NOUN
ejpam-5775	51	76	=	=	SYM
ejpam-5775	51	77	2	2	NUM
ejpam-5775	51	78	,	,	PUNCT
ejpam-5775	51	79	δ2x	δ2x	NOUN
ejpam-5775	51	80	=	=	SYM
ejpam-5775	51	81	2	2	NUM
ejpam-5775	51	82	,	,	PUNCT
ejpam-5775	51	83	δ1∪	δ1∪	NOUN
ejpam-5775	51	84	=	=	SYM
ejpam-5775	51	85	0	0	NUM
ejpam-5775	51	86	,	,	PUNCT
ejpam-5775	51	87	δ2∪	δ2∪	PUNCT
ejpam-5775	51	88	=	=	SYM
ejpam-5775	51	89	2	2	NUM
ejpam-5775	51	90	,	,	PUNCT
ejpam-5775	51	91	δ1∩	δ1∩	NOUN
ejpam-5775	51	92	=	=	SYM
ejpam-5775	51	93	2	2	NUM
ejpam-5775	51	94	,	,	PUNCT
ejpam-5775	51	95	δ2∩	δ2∩	ADP
ejpam-5775	51	96	=	=	SYM
ejpam-5775	51	97	0	0	NUM
ejpam-5775	51	98	,	,	PUNCT
ejpam-5775	51	99	δ1	δ1	NOUN
ejpam-5775	51	100	¡	¡	NOUN
ejpam-5775	51	101	=	=	SYM
ejpam-5775	51	102	1	1	NUM
ejpam-5775	51	103	,	,	PUNCT
ejpam-5775	51	104	δ2	δ2	VERB
ejpam-5775	51	105	¡	¡	NOUN
ejpam-5775	51	106	=	=	SYM
ejpam-5775	51	107	0	0	NUM
ejpam-5775	51	108	,	,	PUNCT
ejpam-5775	51	109	δ1	δ1	NOUN
ejpam-5775	51	110	!	!	PUNCT
ejpam-5775	52	1	=	=	SYM
ejpam-5775	52	2	0	0	NUM
ejpam-5775	52	3	,	,	PUNCT
ejpam-5775	52	4	δ2	δ2	VERB
ejpam-5775	52	5	!	!	PUNCT
ejpam-5775	53	1	=	=	PUNCT
ejpam-5775	53	2	1	1	X
ejpam-5775	53	3	.	.	PUNCT
ejpam-5775	54	1	these	these	DET
ejpam-5775	54	2	generators	generator	NOUN
ejpam-5775	54	3	can	can	AUX
ejpam-5775	54	4	be	be	AUX
ejpam-5775	54	5	presented	present	VERB
ejpam-5775	54	6	geometrically	geometrically	ADV
ejpam-5775	54	7	as	as	SCONJ
ejpam-5775	54	8	consider	consider	VERB
ejpam-5775	54	9	the	the	DET
ejpam-5775	54	10	path	path	NOUN
ejpam-5775	54	11	category	category	NOUN
ejpam-5775	54	12	,	,	PUNCT
ejpam-5775	54	13	see	see	VERB
ejpam-5775	54	14	for	for	ADP
ejpam-5775	54	15	example	example	NOUN
ejpam-5775	54	16	(	(	PUNCT
ejpam-5775	54	17	[	[	X
ejpam-5775	54	18	4	4	NUM
ejpam-5775	54	19	]	]	PUNCT
ejpam-5775	54	20	,	,	PUNCT
ejpam-5775	54	21	over	over	ADP
ejpam-5775	54	22	β∗	β∗	PROPN
ejpam-5775	54	23	,	,	PUNCT
ejpam-5775	54	24	the	the	DET
ejpam-5775	54	25	extent	extent	NOUN
ejpam-5775	54	26	of	of	ADP
ejpam-5775	54	27	the	the	DET
ejpam-5775	54	28	monoidal	monoidal	ADJ
ejpam-5775	54	29	graph	graph	NOUN
ejpam-5775	54	30	β	β	NOUN
ejpam-5775	54	31	.	.	PUNCT
ejpam-5775	55	1	p	p	X
ejpam-5775	55	2	(	(	PUNCT
ejpam-5775	55	3	β∗	β∗	PROPN
ejpam-5775	55	4	)	)	PUNCT
ejpam-5775	55	5	=	=	PUNCT
ejpam-5775	55	6	(	(	PUNCT
ejpam-5775	55	7	n	n	CCONJ
ejpam-5775	55	8	,	,	PUNCT
ejpam-5775	55	9	homp	homp	NOUN
ejpam-5775	55	10	(	(	PUNCT
ejpam-5775	55	11	β∗)(n	β∗)(n	PROPN
ejpam-5775	55	12	,	,	PUNCT
ejpam-5775	55	13	m	m	PROPN
ejpam-5775	55	14	)	)	PUNCT
ejpam-5775	55	15	,	,	PUNCT
ejpam-5775	55	16	•	•	ADP
ejpam-5775	55	17	,	,	PUNCT
ejpam-5775	55	18	ϕ	ϕ	NOUN
ejpam-5775	55	19	)	)	PUNCT
ejpam-5775	55	20	.	.	PUNCT
ejpam-5775	56	1	therefore	therefore	ADV
ejpam-5775	56	2	ω(β	ω(β	NOUN
ejpam-5775	56	3	)	)	PUNCT
ejpam-5775	56	4	=	=	PUNCT
ejpam-5775	57	1	(	(	PUNCT
ejpam-5775	57	2	p	p	X
ejpam-5775	57	3	(	(	PUNCT
ejpam-5775	57	4	β∗),⊗0	β∗),⊗0	ADJ
ejpam-5775	57	5	,	,	PUNCT
ejpam-5775	57	6	0	0	NUM
ejpam-5775	57	7	,	,	PUNCT
ejpam-5775	57	8	n#,#m	n#,#m	NUM
ejpam-5775	57	9	)	)	PUNCT
ejpam-5775	57	10	is	be	AUX
ejpam-5775	57	11	a	a	DET
ejpam-5775	57	12	1	1	NUM
ejpam-5775	57	13	2	2	NUM
ejpam-5775	57	14	-monoidal	-monoidal	NOUN
ejpam-5775	57	15	category	category	NOUN
ejpam-5775	57	16	,	,	PUNCT
ejpam-5775	57	17	whose	whose	DET
ejpam-5775	57	18	set	set	NOUN
ejpam-5775	57	19	of	of	ADP
ejpam-5775	57	20	objects	object	NOUN
ejpam-5775	57	21	is	be	AUX
ejpam-5775	57	22	the	the	DET
ejpam-5775	57	23	set	set	NOUN
ejpam-5775	57	24	of	of	ADP
ejpam-5775	57	25	natural	natural	ADJ
ejpam-5775	57	26	numbers	number	NOUN
ejpam-5775	57	27	,	,	PUNCT
ejpam-5775	57	28	where	where	SCONJ
ejpam-5775	57	29	for	for	ADP
ejpam-5775	57	30	all	all	DET
ejpam-5775	57	31	n	n	CCONJ
ejpam-5775	57	32	,	,	PUNCT
ejpam-5775	57	33	m	m	PROPN
ejpam-5775	57	34	,	,	PUNCT
ejpam-5775	57	35	k	k	PROPN
ejpam-5775	57	36	∈	∈	PROPN
ejpam-5775	57	37	n	n	PROPN
ejpam-5775	57	38	;	;	PUNCT
ejpam-5775	57	39	n#m(k	n#m(k	NOUN
ejpam-5775	57	40	)	)	PUNCT
ejpam-5775	57	41	=	=	VERB
ejpam-5775	58	1	n⊗0	n⊗0	NOUN
ejpam-5775	58	2	k	k	NOUN
ejpam-5775	59	1	⊗0	⊗0	PRON
ejpam-5775	59	2	m	m	VERB
ejpam-5775	59	3	=	=	ADJ
ejpam-5775	59	4	n+	n+	PROPN
ejpam-5775	59	5	k	k	PROPN
ejpam-5775	60	1	+	+	NOUN
ejpam-5775	60	2	m	m	PROPN
ejpam-5775	60	3	,	,	PUNCT
ejpam-5775	60	4	and	and	CCONJ
ejpam-5775	60	5	for	for	ADP
ejpam-5775	60	6	all	all	DET
ejpam-5775	60	7	generating	generate	VERB
ejpam-5775	60	8	morphism	morphism	NOUN
ejpam-5775	60	9	(	(	PUNCT
ejpam-5775	60	10	f	f	X
ejpam-5775	60	11	:	:	PUNCT
ejpam-5775	60	12	k	k	PROPN
ejpam-5775	60	13	→	→	SYM
ejpam-5775	60	14	k′	k′	PROPN
ejpam-5775	60	15	)	)	PUNCT
ejpam-5775	60	16	∈	∈	PROPN
ejpam-5775	60	17	e(β	e(β	PROPN
ejpam-5775	60	18	)	)	PUNCT
ejpam-5775	60	19	,	,	PUNCT
ejpam-5775	60	20	we	we	PRON
ejpam-5775	60	21	have	have	VERB
ejpam-5775	60	22	n#m(f	n#m(f	NOUN
ejpam-5775	60	23	)	)	PUNCT
ejpam-5775	60	24	=	=	PUNCT
ejpam-5775	61	1	n+	n+	PART
ejpam-5775	61	2	k	k	X
ejpam-5775	62	1	+	+	NOUN
ejpam-5775	62	2	m	m	AUX
ejpam-5775	62	3	nθfθm−−−−−→	nθfθm−−−−−→	ADJ
ejpam-5775	62	4	n+	n+	X
ejpam-5775	62	5	k′	k′	PROPN
ejpam-5775	63	1	+	+	NOUN
ejpam-5775	63	2	m.	m.	NOUN
ejpam-5775	63	3	then	then	ADV
ejpam-5775	63	4	we	we	PRON
ejpam-5775	63	5	have	have	VERB
ejpam-5775	63	6	the	the	DET
ejpam-5775	63	7	free-12	free-12	PROPN
ejpam-5775	63	8	-monoidal	-monoidal	ADJ
ejpam-5775	63	9	category	category	NOUN
ejpam-5775	63	10	-	-	PUNCT
ejpam-5775	63	11	triple	triple	NOUN
ejpam-5775	63	12	(	(	PUNCT
ejpam-5775	63	13	β	β	NOUN
ejpam-5775	63	14	,	,	PUNCT
ejpam-5775	63	15	ω(β	ω(β	NOUN
ejpam-5775	63	16	)	)	PUNCT
ejpam-5775	63	17	,	,	PUNCT
ejpam-5775	63	18	δ	δ	PROPN
ejpam-5775	63	19	)	)	PUNCT
ejpam-5775	63	20	.	.	PUNCT
ejpam-5775	64	1	definition	definition	NOUN
ejpam-5775	64	2	2	2	NUM
ejpam-5775	64	3	(	(	PUNCT
ejpam-5775	64	4	unoriented	unoriente	VERB
ejpam-5775	64	5	welded	weld	VERB
ejpam-5775	64	6	tangle	tangle	NOUN
ejpam-5775	64	7	-	-	PUNCT
ejpam-5775	64	8	oids	oid	NOUN
ejpam-5775	64	9	category	category	NOUN
ejpam-5775	64	10	)	)	PUNCT
ejpam-5775	64	11	.	.	PUNCT
ejpam-5775	65	1	the	the	DET
ejpam-5775	65	2	unoriented	unoriente	VERB
ejpam-5775	65	3	welded	weld	VERB
ejpam-5775	65	4	tangleoids	tangleoid	NOUN
ejpam-5775	65	5	category	category	NOUN
ejpam-5775	65	6	uwtc	uwtc	PROPN
ejpam-5775	65	7	is	be	AUX
ejpam-5775	65	8	the	the	DET
ejpam-5775	65	9	strict	strict	ADJ
ejpam-5775	65	10	monoidal	monoidal	ADJ
ejpam-5775	65	11	category	category	NOUN
ejpam-5775	65	12	formally	formally	ADV
ejpam-5775	65	13	presented	present	VERB
ejpam-5775	65	14	by	by	ADP
ejpam-5775	65	15	f	f	PROPN
ejpam-5775	65	16	(	(	PUNCT
ejpam-5775	65	17	ω(β	ω(β	PROPN
ejpam-5775	65	18	)	)	PUNCT
ejpam-5775	65	19	/	/	SYM
ejpam-5775	65	20	w	w	PROPN
ejpam-5775	65	21	)	)	PUNCT
ejpam-5775	65	22	,	,	PUNCT
ejpam-5775	65	23	h.	h.	PROPN
ejpam-5775	65	24	albeladi	albeladi	PROPN
ejpam-5775	65	25	,	,	PUNCT
ejpam-5775	65	26	c.	c.	PROPN
ejpam-5775	65	27	ozel	ozel	PROPN
ejpam-5775	65	28	/	/	SYM
ejpam-5775	65	29	eur	eur	PROPN
ejpam-5775	65	30	.	.	PUNCT
ejpam-5775	66	1	j.	j.	PROPN
ejpam-5775	66	2	pure	pure	PROPN
ejpam-5775	66	3	appl	appl	PROPN
ejpam-5775	66	4	.	.	PROPN
ejpam-5775	66	5	math	math	PROPN
ejpam-5775	66	6	,	,	PUNCT
ejpam-5775	66	7	18	18	NUM
ejpam-5775	66	8	(	(	PUNCT
ejpam-5775	66	9	1	1	NUM
ejpam-5775	66	10	)	)	PUNCT
ejpam-5775	66	11	(	(	PUNCT
ejpam-5775	66	12	2025	2025	NUM
ejpam-5775	66	13	)	)	PUNCT
ejpam-5775	66	14	,	,	PUNCT
ejpam-5775	66	15	5775	5775	NUM
ejpam-5775	66	16	4	4	NUM
ejpam-5775	66	17	of	of	ADP
ejpam-5775	66	18	13	13	NUM
ejpam-5775	66	19	where	where	SCONJ
ejpam-5775	66	20	ω(β	ω(β	NOUN
ejpam-5775	66	21	)	)	PUNCT
ejpam-5775	66	22	defined	define	VERB
ejpam-5775	66	23	in	in	ADP
ejpam-5775	66	24	[	[	X
ejpam-5775	66	25	2	2	NUM
ejpam-5775	66	26	,	,	PUNCT
ejpam-5775	66	27	section	section	NOUN
ejpam-5775	66	28	7.2	7.2	NUM
ejpam-5775	66	29	]	]	PUNCT
ejpam-5775	66	30	and	and	CCONJ
ejpam-5775	66	31	w	w	PROPN
ejpam-5775	66	32	is	be	AUX
ejpam-5775	66	33	the	the	DET
ejpam-5775	66	34	1	1	NUM
ejpam-5775	66	35	2	2	NUM
ejpam-5775	66	36	-monoidal	-monoidal	ADJ
ejpam-5775	66	37	closure	closure	NOUN
ejpam-5775	66	38	of	of	ADP
ejpam-5775	66	39	the	the	DET
ejpam-5775	66	40	congruence	congruence	NOUN
ejpam-5775	66	41	template	template	NOUN
ejpam-5775	66	42	w	w	NOUN
ejpam-5775	66	43	that	that	PRON
ejpam-5775	66	44	is	be	AUX
ejpam-5775	66	45	defined	define	VERB
ejpam-5775	66	46	as	as	ADP
ejpam-5775	66	47	follows	follow	VERB
ejpam-5775	66	48	.	.	PUNCT
ejpam-5775	67	1	given	give	VERB
ejpam-5775	67	2	m	m	PRON
ejpam-5775	67	3	,	,	PUNCT
ejpam-5775	67	4	n	n	PROPN
ejpam-5775	67	5	∈	∈	PROPN
ejpam-5775	67	6	n	n	CCONJ
ejpam-5775	67	7	,	,	PUNCT
ejpam-5775	67	8	then	then	ADV
ejpam-5775	67	9	wm	wm	PROPN
ejpam-5775	67	10	,	,	PUNCT
ejpam-5775	67	11	n	n	PROPN
ejpam-5775	67	12	is	be	AUX
ejpam-5775	67	13	the	the	DET
ejpam-5775	67	14	relation	relation	NOUN
ejpam-5775	67	15	in	in	ADP
ejpam-5775	67	16	homp	homp	NOUN
ejpam-5775	67	17	(	(	PUNCT
ejpam-5775	67	18	β∗)(m	β∗)(m	NOUN
ejpam-5775	67	19	,	,	PUNCT
ejpam-5775	67	20	n	n	CCONJ
ejpam-5775	67	21	)	)	PUNCT
ejpam-5775	67	22	,	,	PUNCT
ejpam-5775	67	23	defined	define	VERB
ejpam-5775	67	24	as	as	SCONJ
ejpam-5775	67	25	(	(	PUNCT
ejpam-5775	67	26	the	the	DET
ejpam-5775	67	27	picture	picture	NOUN
ejpam-5775	67	28	will	will	AUX
ejpam-5775	67	29	follow	follow	VERB
ejpam-5775	67	30	)	)	PUNCT
ejpam-5775	67	31	in	in	ADP
ejpam-5775	67	32	homp	homp	NOUN
ejpam-5775	67	33	(	(	PUNCT
ejpam-5775	67	34	β∗)(1	β∗)(1	NOUN
ejpam-5775	67	35	,	,	PUNCT
ejpam-5775	67	36	1	1	NUM
ejpam-5775	67	37	)	)	PUNCT
ejpam-5775	67	38	,	,	PUNCT
ejpam-5775	67	39	we	we	PRON
ejpam-5775	67	40	have	have	VERB
ejpam-5775	67	41	the	the	DET
ejpam-5775	67	42	only	only	ADJ
ejpam-5775	67	43	relations	relation	NOUN
ejpam-5775	67	44	•	•	ADP
ejpam-5775	68	1	[	[	X
ejpam-5775	68	2	wt1	wt1	X
ejpam-5775	68	3	]	]	X
ejpam-5775	68	4	:	:	PUNCT
ejpam-5775	68	5	(	(	PUNCT
ejpam-5775	68	6	id1	id1	PROPN
ejpam-5775	68	7	⊗	⊗	PROPN
ejpam-5775	68	8	∩)(x	∩)(x	PROPN
ejpam-5775	69	1	⊗	⊗	PROPN
ejpam-5775	69	2	id1)(id1	id1)(id1	PROPN
ejpam-5775	69	3	⊗	⊗	PROPN
ejpam-5775	69	4	∪	∪	NOUN
ejpam-5775	69	5	)	)	PUNCT
ejpam-5775	69	6	∼w1,1	∼w1,1	NOUN
ejpam-5775	70	1	id1	id1	PROPN
ejpam-5775	70	2	∼w1,1	∼w1,1	PROPN
ejpam-5775	70	3	(	(	PUNCT
ejpam-5775	70	4	∩	∩	PROPN
ejpam-5775	70	5	⊗	⊗	PROPN
ejpam-5775	70	6	id1)(id1	id1)(id1	PROPN
ejpam-5775	70	7	⊗x)(∪	⊗x)(∪	PROPN
ejpam-5775	70	8	⊗	⊗	PROPN
ejpam-5775	70	9	id1	id1	PROPN
ejpam-5775	70	10	)	)	PUNCT
ejpam-5775	70	11	.	.	PUNCT
ejpam-5775	71	1	•	•	NUM
ejpam-5775	72	1	[	[	X
ejpam-5775	72	2	wt2	wt2	X
ejpam-5775	72	3	]	]	X
ejpam-5775	72	4	:	:	PUNCT
ejpam-5775	72	5	(	(	PUNCT
ejpam-5775	72	6	id1	id1	PROPN
ejpam-5775	72	7	⊗	⊗	PROPN
ejpam-5775	72	8	∩)(x+	∩)(x+	ADV
ejpam-5775	73	1	⊗	⊗	PROPN
ejpam-5775	73	2	id1)(id1	id1)(id1	PROPN
ejpam-5775	73	3	⊗	⊗	PROPN
ejpam-5775	73	4	∪	∪	NOUN
ejpam-5775	73	5	)	)	PUNCT
ejpam-5775	73	6	∼w1,1	∼w1,1	NOUN
ejpam-5775	74	1	id1	id1	PROPN
ejpam-5775	74	2	∼w1,1	∼w1,1	PROPN
ejpam-5775	74	3	(	(	PUNCT
ejpam-5775	74	4	id1	id1	PROPN
ejpam-5775	74	5	⊗	⊗	PROPN
ejpam-5775	74	6	∩)(x−	∩)(x−	PROPN
ejpam-5775	74	7	⊗	⊗	PROPN
ejpam-5775	74	8	id1)(id1	id1)(id1	PROPN
ejpam-5775	74	9	⊗	⊗	PROPN
ejpam-5775	74	10	∪	∪	NOUN
ejpam-5775	74	11	)	)	PUNCT
ejpam-5775	74	12	.	.	PUNCT
ejpam-5775	75	1	•	•	NUM
ejpam-5775	76	1	[	[	X
ejpam-5775	76	2	wt3	wt3	X
ejpam-5775	76	3	]	]	X
ejpam-5775	76	4	:	:	PUNCT
ejpam-5775	76	5	(	(	PUNCT
ejpam-5775	76	6	∩	∩	X
ejpam-5775	76	7	⊗	⊗	PROPN
ejpam-5775	76	8	id1)(id1	id1)(id1	ADV
ejpam-5775	76	9	⊗x−)(∪	⊗x−)(∪	PROPN
ejpam-5775	76	10	⊗	⊗	PROPN
ejpam-5775	76	11	id1	id1	PROPN
ejpam-5775	76	12	)	)	PUNCT
ejpam-5775	76	13	∼w1,1	∼w1,1	PROPN
ejpam-5775	77	1	id1	id1	PROPN
ejpam-5775	77	2	∼w1,1	∼w1,1	PROPN
ejpam-5775	77	3	(	(	PUNCT
ejpam-5775	77	4	∩	∩	PROPN
ejpam-5775	77	5	⊗	⊗	PROPN
ejpam-5775	77	6	id1)(id1	id1)(id1	PROPN
ejpam-5775	77	7	⊗x+)(∪	⊗x+)(∪	PROPN
ejpam-5775	77	8	⊗	⊗	PROPN
ejpam-5775	77	9	id1	id1	PROPN
ejpam-5775	77	10	)	)	PUNCT
ejpam-5775	77	11	.	.	PUNCT
ejpam-5775	78	1	•	•	NUM
ejpam-5775	79	1	[	[	X
ejpam-5775	79	2	wt4	wt4	NOUN
ejpam-5775	79	3	]	]	X
ejpam-5775	79	4	:	:	PUNCT
ejpam-5775	79	5	(	(	PUNCT
ejpam-5775	79	6	∩	∩	PROPN
ejpam-5775	79	7	⊗	⊗	PROPN
ejpam-5775	79	8	id1)(id1	id1)(id1	PROPN
ejpam-5775	79	9	⊗	⊗	PROPN
ejpam-5775	79	10	∪	∪	NOUN
ejpam-5775	79	11	)	)	PUNCT
ejpam-5775	79	12	∼w1,1	∼w1,1	NOUN
ejpam-5775	80	1	id1	id1	PROPN
ejpam-5775	80	2	∼w1,1	∼w1,1	PROPN
ejpam-5775	80	3	(	(	PUNCT
ejpam-5775	80	4	id1	id1	PROPN
ejpam-5775	80	5	⊗	⊗	PROPN
ejpam-5775	81	1	∩)(∪	∩)(∪	PROPN
ejpam-5775	81	2	⊗	⊗	PROPN
ejpam-5775	81	3	id1	id1	PROPN
ejpam-5775	81	4	)	)	PUNCT
ejpam-5775	81	5	.	.	PUNCT
ejpam-5775	82	1	in	in	ADP
ejpam-5775	82	2	homp	homp	PROPN
ejpam-5775	82	3	(	(	PUNCT
ejpam-5775	82	4	β∗)(2	β∗)(2	NOUN
ejpam-5775	82	5	,	,	PUNCT
ejpam-5775	82	6	2	2	NUM
ejpam-5775	82	7	)	)	PUNCT
ejpam-5775	82	8	,	,	PUNCT
ejpam-5775	82	9	we	we	PRON
ejpam-5775	82	10	have	have	VERB
ejpam-5775	82	11	the	the	DET
ejpam-5775	82	12	only	only	ADJ
ejpam-5775	82	13	relation	relation	NOUN
ejpam-5775	82	14	•	•	ADP
ejpam-5775	83	1	[	[	X
ejpam-5775	83	2	wt5	wt5	X
ejpam-5775	83	3	]	]	X
ejpam-5775	83	4	:	:	PUNCT
ejpam-5775	83	5	x−x+	x−x+	PROPN
ejpam-5775	83	6	∼w2,2	∼w2,2	PROPN
ejpam-5775	83	7	id2	id2	PROPN
ejpam-5775	83	8	∼w2,2	∼w2,2	PROPN
ejpam-5775	83	9	x+x−.	x+x−.	PROPN
ejpam-5775	84	1	in	in	ADP
ejpam-5775	84	2	homp	homp	PROPN
ejpam-5775	84	3	(	(	PUNCT
ejpam-5775	84	4	β∗)(3	β∗)(3	NOUN
ejpam-5775	84	5	,	,	PUNCT
ejpam-5775	84	6	3	3	NUM
ejpam-5775	84	7	)	)	PUNCT
ejpam-5775	84	8	,	,	PUNCT
ejpam-5775	84	9	we	we	PRON
ejpam-5775	84	10	have	have	VERB
ejpam-5775	84	11	the	the	DET
ejpam-5775	84	12	only	only	ADJ
ejpam-5775	84	13	relations	relation	NOUN
ejpam-5775	84	14	•	•	ADP
ejpam-5775	85	1	[	[	X
ejpam-5775	85	2	wt6	wt6	X
ejpam-5775	85	3	]	]	X
ejpam-5775	85	4	:	:	PUNCT
ejpam-5775	85	5	(	(	PUNCT
ejpam-5775	85	6	x+	x+	PROPN
ejpam-5775	85	7	⊗	⊗	ADJ
ejpam-5775	85	8	id1)(id1	id1)(id1	ADV
ejpam-5775	85	9	⊗x+)(x+	⊗x+)(x+	VERB
ejpam-5775	85	10	⊗	⊗	PROPN
ejpam-5775	85	11	id1	id1	PROPN
ejpam-5775	85	12	)	)	PUNCT
ejpam-5775	85	13	∼w3,3	∼w3,3	NOUN
ejpam-5775	85	14	(	(	PUNCT
ejpam-5775	85	15	id1	id1	PROPN
ejpam-5775	85	16	⊗x+)(x+	⊗x+)(x+	VERB
ejpam-5775	85	17	⊗	⊗	PROPN
ejpam-5775	85	18	id1)(id1	id1)(id1	ADJ
ejpam-5775	85	19	⊗x+	⊗x+	PROPN
ejpam-5775	85	20	)	)	PUNCT
ejpam-5775	85	21	.	.	PUNCT
ejpam-5775	86	1	•	•	NUM
ejpam-5775	87	1	[	[	X
ejpam-5775	87	2	wt7	wt7	NOUN
ejpam-5775	87	3	]	]	X
ejpam-5775	87	4	:	:	PUNCT
ejpam-5775	87	5	(	(	PUNCT
ejpam-5775	87	6	x+	x+	PROPN
ejpam-5775	87	7	⊗	⊗	PROPN
ejpam-5775	87	8	id1)(id1	id1)(id1	PROPN
ejpam-5775	87	9	⊗x)(x	⊗x)(x	PROPN
ejpam-5775	87	10	⊗	⊗	PROPN
ejpam-5775	87	11	id1	id1	PROPN
ejpam-5775	87	12	)	)	PUNCT
ejpam-5775	87	13	∼w3,3	∼w3,3	NOUN
ejpam-5775	87	14	(	(	PUNCT
ejpam-5775	87	15	id1	id1	PROPN
ejpam-5775	87	16	⊗x)(x	⊗x)(x	PROPN
ejpam-5775	87	17	⊗	⊗	PROPN
ejpam-5775	87	18	id1)(id1	id1)(id1	PROPN
ejpam-5775	87	19	⊗x+	⊗x+	PROPN
ejpam-5775	87	20	)	)	PUNCT
ejpam-5775	87	21	.	.	PUNCT
ejpam-5775	88	1	•	•	NUM
ejpam-5775	89	1	[	[	X
ejpam-5775	89	2	wt8	wt8	X
ejpam-5775	89	3	]	]	PUNCT
ejpam-5775	89	4	:	:	PUNCT
ejpam-5775	89	5	(	(	PUNCT
ejpam-5775	89	6	x	x	X
ejpam-5775	89	7	⊗	⊗	PROPN
ejpam-5775	89	8	id1)(id1	id1)(id1	ADV
ejpam-5775	89	9	⊗x+)(x+	⊗x+)(x+	VERB
ejpam-5775	89	10	⊗	⊗	PROPN
ejpam-5775	89	11	id1	id1	PROPN
ejpam-5775	89	12	)	)	PUNCT
ejpam-5775	89	13	∼w3,3	∼w3,3	NOUN
ejpam-5775	89	14	(	(	PUNCT
ejpam-5775	89	15	id1	id1	PROPN
ejpam-5775	89	16	⊗x+)(x+	⊗x+)(x+	VERB
ejpam-5775	89	17	⊗	⊗	NUM
ejpam-5775	89	18	id1)(id1	id1)(id1	ADV
ejpam-5775	89	19	⊗x	⊗x	NOUN
ejpam-5775	89	20	)	)	PUNCT
ejpam-5775	89	21	.	.	PUNCT
ejpam-5775	90	1	in	in	ADP
ejpam-5775	90	2	homp	homp	PROPN
ejpam-5775	90	3	(	(	PUNCT
ejpam-5775	90	4	β∗)(3	β∗)(3	NOUN
ejpam-5775	90	5	,	,	PUNCT
ejpam-5775	90	6	1	1	NUM
ejpam-5775	90	7	)	)	PUNCT
ejpam-5775	90	8	,	,	PUNCT
ejpam-5775	90	9	we	we	PRON
ejpam-5775	90	10	have	have	VERB
ejpam-5775	90	11	the	the	DET
ejpam-5775	90	12	only	only	ADJ
ejpam-5775	90	13	relations	relation	NOUN
ejpam-5775	90	14	•	•	ADP
ejpam-5775	91	1	[	[	X
ejpam-5775	91	2	wt9	wt9	X
ejpam-5775	91	3	]	]	X
ejpam-5775	91	4	:	:	PUNCT
ejpam-5775	91	5	(	(	PUNCT
ejpam-5775	91	6	∩	∩	X
ejpam-5775	91	7	⊗	⊗	PROPN
ejpam-5775	91	8	id1)(id1	id1)(id1	PROPN
ejpam-5775	91	9	⊗x−	⊗x−	NUM
ejpam-5775	91	10	)	)	PUNCT
ejpam-5775	91	11	∼w3,1	∼w3,1	PROPN
ejpam-5775	91	12	(	(	PUNCT
ejpam-5775	91	13	id1	id1	PROPN
ejpam-5775	91	14	⊗	⊗	PROPN
ejpam-5775	92	1	∩)(x+	∩)(x+	ADV
ejpam-5775	92	2	⊗	⊗	PROPN
ejpam-5775	92	3	id1	id1	PROPN
ejpam-5775	92	4	)	)	PUNCT
ejpam-5775	92	5	.	.	PUNCT
ejpam-5775	93	1	•	•	NUM
ejpam-5775	94	1	[	[	X
ejpam-5775	94	2	wt9	wt9	X
ejpam-5775	94	3	]	]	X
ejpam-5775	94	4	′	′	NUM
ejpam-5775	94	5	:	:	PUNCT
ejpam-5775	94	6	(	(	PUNCT
ejpam-5775	94	7	∩	∩	X
ejpam-5775	94	8	⊗	⊗	PROPN
ejpam-5775	94	9	id1)(id1	id1)(id1	NOUN
ejpam-5775	94	10	⊗x+	⊗x+	PROPN
ejpam-5775	94	11	)	)	PUNCT
ejpam-5775	94	12	∼w3,1	∼w3,1	PROPN
ejpam-5775	95	1	(	(	PUNCT
ejpam-5775	95	2	id1	id1	PROPN
ejpam-5775	95	3	⊗	⊗	PROPN
ejpam-5775	95	4	∩)(x−	∩)(x−	PROPN
ejpam-5775	95	5	⊗	⊗	PROPN
ejpam-5775	95	6	id1	id1	PROPN
ejpam-5775	95	7	)	)	PUNCT
ejpam-5775	95	8	.	.	PUNCT
ejpam-5775	96	1	•	•	NUM
ejpam-5775	97	1	[	[	X
ejpam-5775	97	2	wt9	wt9	X
ejpam-5775	97	3	]	]	X
ejpam-5775	97	4	′′	′′	PROPN
ejpam-5775	97	5	:	:	PUNCT
ejpam-5775	97	6	(	(	PUNCT
ejpam-5775	97	7	∩	∩	X
ejpam-5775	97	8	⊗	⊗	ADJ
ejpam-5775	97	9	id1)(id1	id1)(id1	ADV
ejpam-5775	97	10	⊗x	⊗x	NOUN
ejpam-5775	97	11	)	)	PUNCT
ejpam-5775	97	12	∼w3,1	∼w3,1	PROPN
ejpam-5775	97	13	(	(	PUNCT
ejpam-5775	97	14	id1	id1	PROPN
ejpam-5775	97	15	⊗	⊗	PROPN
ejpam-5775	97	16	∩)(x	∩)(x	PROPN
ejpam-5775	98	1	⊗	⊗	PROPN
ejpam-5775	98	2	id1	id1	PROPN
ejpam-5775	98	3	)	)	PUNCT
ejpam-5775	98	4	.	.	PUNCT
ejpam-5775	99	1	in	in	ADP
ejpam-5775	99	2	homp	homp	PROPN
ejpam-5775	99	3	(	(	PUNCT
ejpam-5775	99	4	β∗)(1	β∗)(1	NOUN
ejpam-5775	99	5	,	,	PUNCT
ejpam-5775	99	6	3	3	NUM
ejpam-5775	99	7	)	)	PUNCT
ejpam-5775	99	8	,	,	PUNCT
ejpam-5775	99	9	we	we	PRON
ejpam-5775	99	10	have	have	VERB
ejpam-5775	99	11	the	the	DET
ejpam-5775	99	12	only	only	ADJ
ejpam-5775	99	13	relations	relation	NOUN
ejpam-5775	99	14	•	•	NOUN
ejpam-5775	99	15	[	[	X
ejpam-5775	99	16	wt10	wt10	NOUN
ejpam-5775	99	17	]	]	X
ejpam-5775	99	18	:	:	PUNCT
ejpam-5775	99	19	(	(	PUNCT
ejpam-5775	99	20	id1	id1	PROPN
ejpam-5775	99	21	⊗x+)(∪	⊗x+)(∪	PROPN
ejpam-5775	99	22	⊗	⊗	PROPN
ejpam-5775	99	23	id1	id1	PROPN
ejpam-5775	99	24	)	)	PUNCT
ejpam-5775	99	25	∼w1,3	∼w1,3	PROPN
ejpam-5775	99	26	(	(	PUNCT
ejpam-5775	99	27	x−	x−	PROPN
ejpam-5775	99	28	⊗	⊗	PROPN
ejpam-5775	99	29	id1)(id1	id1)(id1	PROPN
ejpam-5775	99	30	⊗	⊗	PROPN
ejpam-5775	99	31	∪	∪	NOUN
ejpam-5775	99	32	)	)	PUNCT
ejpam-5775	99	33	.	.	PUNCT
ejpam-5775	100	1	•	•	NUM
ejpam-5775	101	1	[	[	X
ejpam-5775	101	2	wt10	wt10	X
ejpam-5775	101	3	]	]	PUNCT
ejpam-5775	101	4	′	′	NUM
ejpam-5775	101	5	:	:	PUNCT
ejpam-5775	101	6	(	(	PUNCT
ejpam-5775	101	7	id1	id1	PROPN
ejpam-5775	101	8	⊗x−)(∪	⊗x−)(∪	PROPN
ejpam-5775	101	9	⊗	⊗	PROPN
ejpam-5775	101	10	id1	id1	PROPN
ejpam-5775	101	11	)	)	PUNCT
ejpam-5775	101	12	∼w1,3	∼w1,3	PROPN
ejpam-5775	101	13	(	(	PUNCT
ejpam-5775	101	14	x+	x+	PROPN
ejpam-5775	101	15	⊗	⊗	PROPN
ejpam-5775	101	16	id1)(id1	id1)(id1	PROPN
ejpam-5775	101	17	⊗	⊗	PROPN
ejpam-5775	101	18	∪	∪	NOUN
ejpam-5775	101	19	)	)	PUNCT
ejpam-5775	101	20	.	.	PUNCT
ejpam-5775	102	1	•	•	NUM
ejpam-5775	103	1	[	[	X
ejpam-5775	103	2	wt10	wt10	X
ejpam-5775	103	3	]	]	X
ejpam-5775	103	4	′′	′′	PROPN
ejpam-5775	103	5	:	:	PUNCT
ejpam-5775	103	6	(	(	PUNCT
ejpam-5775	103	7	id1	id1	PROPN
ejpam-5775	103	8	⊗x)(∪	⊗x)(∪	PROPN
ejpam-5775	103	9	⊗	⊗	PROPN
ejpam-5775	103	10	id1	id1	PROPN
ejpam-5775	103	11	)	)	PUNCT
ejpam-5775	103	12	∼w1,3	∼w1,3	PROPN
ejpam-5775	103	13	(	(	PUNCT
ejpam-5775	103	14	x	x	PROPN
ejpam-5775	103	15	⊗	⊗	PROPN
ejpam-5775	103	16	id1)(id1	id1)(id1	PROPN
ejpam-5775	103	17	⊗	⊗	PROPN
ejpam-5775	103	18	∪	∪	NOUN
ejpam-5775	103	19	)	)	PUNCT
ejpam-5775	103	20	.	.	PUNCT
ejpam-5775	104	1	in	in	ADP
ejpam-5775	104	2	homp	homp	PROPN
ejpam-5775	104	3	(	(	PUNCT
ejpam-5775	104	4	β∗)(1	β∗)(1	NOUN
ejpam-5775	104	5	,	,	PUNCT
ejpam-5775	104	6	0	0	NUM
ejpam-5775	104	7	)	)	PUNCT
ejpam-5775	104	8	,	,	PUNCT
ejpam-5775	104	9	we	we	PRON
ejpam-5775	104	10	have	have	VERB
ejpam-5775	104	11	the	the	DET
ejpam-5775	104	12	only	only	ADJ
ejpam-5775	104	13	relation	relation	NOUN
ejpam-5775	104	14	•	•	NOUN
ejpam-5775	105	1	[	[	X
ejpam-5775	105	2	wt11	wt11	PROPN
ejpam-5775	105	3	]	]	X
ejpam-5775	105	4	:	:	PUNCT
ejpam-5775	105	5	∩(id1⊗	∩(id1⊗	PROPN
ejpam-5775	105	6	!	!	PUNCT
ejpam-5775	105	7	)	)	PUNCT
ejpam-5775	105	8	∼w1,0	∼w1,0	VERB
ejpam-5775	105	9	¡	¡	PROPN
ejpam-5775	105	10	∼w1,0	∼w1,0	PROPN
ejpam-5775	106	1	∩(!⊗	∩(!⊗	PROPN
ejpam-5775	106	2	id1	id1	PROPN
ejpam-5775	106	3	)	)	PUNCT
ejpam-5775	106	4	.	.	PUNCT
ejpam-5775	107	1	in	in	ADP
ejpam-5775	107	2	homp	homp	PROPN
ejpam-5775	107	3	(	(	PUNCT
ejpam-5775	107	4	β∗)(0	β∗)(0	ADJ
ejpam-5775	107	5	,	,	PUNCT
ejpam-5775	107	6	1	1	NUM
ejpam-5775	107	7	)	)	PUNCT
ejpam-5775	107	8	,	,	PUNCT
ejpam-5775	107	9	we	we	PRON
ejpam-5775	107	10	have	have	VERB
ejpam-5775	107	11	the	the	DET
ejpam-5775	107	12	only	only	ADJ
ejpam-5775	107	13	relation	relation	NOUN
ejpam-5775	107	14	:	:	PUNCT
ejpam-5775	107	15	•	•	ADP
ejpam-5775	108	1	[	[	X
ejpam-5775	108	2	wt12	wt12	PROPN
ejpam-5775	108	3	]	]	X
ejpam-5775	108	4	:	:	PUNCT
ejpam-5775	108	5	(	(	PUNCT
ejpam-5775	108	6	id1⊗¡)∪	id1⊗¡)∪	PROPN
ejpam-5775	108	7	∼w0,1	∼w0,1	PROPN
ejpam-5775	108	8	!	!	PUNCT
ejpam-5775	109	1	∼w0,1	∼w0,1	PROPN
ejpam-5775	110	1	(	(	PUNCT
ejpam-5775	110	2	¡	¡	PROPN
ejpam-5775	110	3	⊗	⊗	PROPN
ejpam-5775	110	4	id1)∪.	id1)∪.	PROPN
ejpam-5775	110	5	in	in	ADP
ejpam-5775	110	6	homp	homp	NOUN
ejpam-5775	110	7	(	(	PUNCT
ejpam-5775	110	8	β∗)(2	β∗)(2	NOUN
ejpam-5775	110	9	,	,	PUNCT
ejpam-5775	110	10	1	1	NUM
ejpam-5775	110	11	)	)	PUNCT
ejpam-5775	110	12	,	,	PUNCT
ejpam-5775	110	13	we	we	PRON
ejpam-5775	110	14	have	have	VERB
ejpam-5775	110	15	the	the	DET
ejpam-5775	110	16	only	only	ADJ
ejpam-5775	110	17	relations	relation	NOUN
ejpam-5775	110	18	h.	h.	PROPN
ejpam-5775	110	19	albeladi	albeladi	PROPN
ejpam-5775	110	20	,	,	PUNCT
ejpam-5775	110	21	c.	c.	PROPN
ejpam-5775	110	22	ozel	ozel	PROPN
ejpam-5775	110	23	/	/	SYM
ejpam-5775	110	24	eur	eur	PROPN
ejpam-5775	110	25	.	.	PUNCT
ejpam-5775	111	1	j.	j.	PROPN
ejpam-5775	111	2	pure	pure	PROPN
ejpam-5775	111	3	appl	appl	PROPN
ejpam-5775	111	4	.	.	PROPN
ejpam-5775	111	5	math	math	PROPN
ejpam-5775	111	6	,	,	PUNCT
ejpam-5775	111	7	18	18	NUM
ejpam-5775	111	8	(	(	PUNCT
ejpam-5775	111	9	1	1	NUM
ejpam-5775	111	10	)	)	PUNCT
ejpam-5775	111	11	(	(	PUNCT
ejpam-5775	111	12	2025	2025	NUM
ejpam-5775	111	13	)	)	PUNCT
ejpam-5775	111	14	,	,	PUNCT
ejpam-5775	111	15	5775	5775	NUM
ejpam-5775	111	16	5	5	NUM
ejpam-5775	111	17	of	of	ADP
ejpam-5775	111	18	13	13	NUM
ejpam-5775	111	19	•	•	NOUN
ejpam-5775	112	1	[	[	X
ejpam-5775	112	2	wt13	wt13	PROPN
ejpam-5775	112	3	]	]	PUNCT
ejpam-5775	112	4	:	:	PUNCT
ejpam-5775	112	5	(	(	PUNCT
ejpam-5775	112	6	¡	¡	PROPN
ejpam-5775	112	7	⊗	⊗	PROPN
ejpam-5775	112	8	id1)x+	id1)x+	PROPN
ejpam-5775	112	9	∼w2,1	∼w2,1	NOUN
ejpam-5775	112	10	id1⊗	id1⊗	VERB
ejpam-5775	112	11	¡	¡	PROPN
ejpam-5775	112	12	.	.	PUNCT
ejpam-5775	113	1	•	•	NUM
ejpam-5775	114	1	[	[	X
ejpam-5775	114	2	wt13	wt13	PROPN
ejpam-5775	114	3	]	]	PUNCT
ejpam-5775	114	4	′	′	NUM
ejpam-5775	114	5	:	:	PUNCT
ejpam-5775	114	6	(	(	PUNCT
ejpam-5775	114	7	id1⊗¡)x−	id1⊗¡)x−	VERB
ejpam-5775	114	8	∼w2,1	∼w2,1	PROPN
ejpam-5775	114	9	¡	¡	PROPN
ejpam-5775	114	10	⊗	⊗	PROPN
ejpam-5775	114	11	id1	id1	PROPN
ejpam-5775	114	12	.	.	PUNCT
ejpam-5775	115	1	•	•	NUM
ejpam-5775	116	1	[	[	X
ejpam-5775	116	2	wt14	wt14	X
ejpam-5775	116	3	]	]	X
ejpam-5775	116	4	:	:	PUNCT
ejpam-5775	116	5	(	(	PUNCT
ejpam-5775	116	6	¡	¡	PROPN
ejpam-5775	116	7	⊗	⊗	PROPN
ejpam-5775	116	8	id1)x	id1)x	PROPN
ejpam-5775	116	9	∼w2,1	∼w2,1	PROPN
ejpam-5775	116	10	id1⊗	id1⊗	PROPN
ejpam-5775	116	11	¡	¡	PROPN
ejpam-5775	116	12	.	.	PUNCT
ejpam-5775	117	1	•	•	NUM
ejpam-5775	118	1	[	[	X
ejpam-5775	118	2	wt14	wt14	X
ejpam-5775	118	3	]	]	PUNCT
ejpam-5775	118	4	′	′	NUM
ejpam-5775	118	5	:	:	PUNCT
ejpam-5775	118	6	(	(	PUNCT
ejpam-5775	118	7	id1⊗¡)x	id1⊗¡)x	PROPN
ejpam-5775	118	8	∼w2,1	∼w2,1	PROPN
ejpam-5775	118	9	¡	¡	PROPN
ejpam-5775	118	10	⊗	⊗	PROPN
ejpam-5775	118	11	id1	id1	PROPN
ejpam-5775	118	12	.	.	PUNCT
ejpam-5775	119	1	note	note	VERB
ejpam-5775	119	2	that	that	SCONJ
ejpam-5775	119	3	we	we	PRON
ejpam-5775	119	4	do	do	AUX
ejpam-5775	119	5	not	not	PART
ejpam-5775	119	6	impose	impose	VERB
ejpam-5775	119	7	that	that	PRON
ejpam-5775	119	8	in	in	ADP
ejpam-5775	119	9	homp	homp	NOUN
ejpam-5775	119	10	(	(	PUNCT
ejpam-5775	119	11	β∗)(2	β∗)(2	VERB
ejpam-5775	119	12	,	,	PUNCT
ejpam-5775	119	13	1	1	NUM
ejpam-5775	119	14	):	):	PUNCT
ejpam-5775	119	15	(	(	PUNCT
ejpam-5775	119	16	¡	¡	PROPN
ejpam-5775	119	17	⊗	⊗	PROPN
ejpam-5775	119	18	id1)x−	id1)x−	PROPN
ejpam-5775	119	19	≁w2,1	≁w2,1	NOUN
ejpam-5775	119	20	id1⊗	id1⊗	VERB
ejpam-5775	119	21	¡	¡	PROPN
ejpam-5775	119	22	.	.	PUNCT
ejpam-5775	120	1	these	these	DET
ejpam-5775	120	2	relations	relation	NOUN
ejpam-5775	120	3	can	can	AUX
ejpam-5775	120	4	be	be	AUX
ejpam-5775	120	5	present	present	ADJ
ejpam-5775	120	6	geometrically	geometrically	ADV
ejpam-5775	120	7	as	as	SCONJ
ejpam-5775	120	8	(	(	PUNCT
ejpam-5775	120	9	note	note	NOUN
ejpam-5775	120	10	we	we	PRON
ejpam-5775	120	11	read	read	VERB
ejpam-5775	120	12	the	the	DET
ejpam-5775	120	13	diagram	diagram	NOUN
ejpam-5775	120	14	from	from	ADP
ejpam-5775	120	15	bottom	bottom	NOUN
ejpam-5775	120	16	to	to	ADP
ejpam-5775	120	17	top	top	ADJ
ejpam-5775	120	18	)	)	PUNCT
ejpam-5775	120	19	h.	h.	NOUN
ejpam-5775	120	20	albeladi	albeladi	NOUN
ejpam-5775	120	21	,	,	PUNCT
ejpam-5775	120	22	c.	c.	PROPN
ejpam-5775	120	23	ozel	ozel	PROPN
ejpam-5775	120	24	/	/	SYM
ejpam-5775	120	25	eur	eur	PROPN
ejpam-5775	120	26	.	.	PUNCT
ejpam-5775	121	1	j.	j.	PROPN
ejpam-5775	121	2	pure	pure	PROPN
ejpam-5775	121	3	appl	appl	PROPN
ejpam-5775	121	4	.	.	PROPN
ejpam-5775	121	5	math	math	PROPN
ejpam-5775	121	6	,	,	PUNCT
ejpam-5775	121	7	18	18	NUM
ejpam-5775	121	8	(	(	PUNCT
ejpam-5775	121	9	1	1	NUM
ejpam-5775	121	10	)	)	PUNCT
ejpam-5775	121	11	(	(	PUNCT
ejpam-5775	121	12	2025	2025	NUM
ejpam-5775	121	13	)	)	PUNCT
ejpam-5775	121	14	,	,	PUNCT
ejpam-5775	121	15	5775	5775	NUM
ejpam-5775	121	16	6	6	NUM
ejpam-5775	121	17	of	of	ADP
ejpam-5775	121	18	13	13	NUM
ejpam-5775	121	19	h.	h.	NOUN
ejpam-5775	121	20	albeladi	albeladi	NOUN
ejpam-5775	121	21	,	,	PUNCT
ejpam-5775	121	22	c.	c.	PROPN
ejpam-5775	121	23	ozel	ozel	PROPN
ejpam-5775	121	24	/	/	SYM
ejpam-5775	121	25	eur	eur	PROPN
ejpam-5775	121	26	.	.	PUNCT
ejpam-5775	122	1	j.	j.	PROPN
ejpam-5775	122	2	pure	pure	PROPN
ejpam-5775	122	3	appl	appl	PROPN
ejpam-5775	122	4	.	.	PROPN
ejpam-5775	122	5	math	math	PROPN
ejpam-5775	122	6	,	,	PUNCT
ejpam-5775	122	7	18	18	NUM
ejpam-5775	122	8	(	(	PUNCT
ejpam-5775	122	9	1	1	NUM
ejpam-5775	122	10	)	)	PUNCT
ejpam-5775	122	11	(	(	PUNCT
ejpam-5775	122	12	2025	2025	NUM
ejpam-5775	122	13	)	)	PUNCT
ejpam-5775	122	14	,	,	PUNCT
ejpam-5775	122	15	5775	5775	NUM
ejpam-5775	122	16	7	7	NUM
ejpam-5775	122	17	of	of	ADP
ejpam-5775	122	18	13	13	NUM
ejpam-5775	122	19	3	3	NUM
ejpam-5775	122	20	.	.	PUNCT
ejpam-5775	122	21	additive	additive	ADJ
ejpam-5775	122	22	product	product	NOUN
ejpam-5775	122	23	in	in	ADP
ejpam-5775	122	24	this	this	DET
ejpam-5775	122	25	section	section	NOUN
ejpam-5775	122	26	,	,	PUNCT
ejpam-5775	122	27	we	we	PRON
ejpam-5775	122	28	will	will	AUX
ejpam-5775	122	29	define	define	VERB
ejpam-5775	122	30	the	the	DET
ejpam-5775	122	31	additive	additive	ADJ
ejpam-5775	122	32	product	product	NOUN
ejpam-5775	122	33	in	in	ADP
ejpam-5775	122	34	welded	weld	VERB
ejpam-5775	122	35	tangle	tangle	NOUN
ejpam-5775	122	36	-	-	PUNCT
ejpam-5775	122	37	oids	oid	NOUN
ejpam-5775	122	38	categories	category	NOUN
ejpam-5775	122	39	and	and	CCONJ
ejpam-5775	122	40	explain	explain	VERB
ejpam-5775	122	41	the	the	DET
ejpam-5775	122	42	algebraic	algebraic	ADJ
ejpam-5775	122	43	structure	structure	NOUN
ejpam-5775	122	44	of	of	ADP
ejpam-5775	122	45	it	it	PRON
ejpam-5775	122	46	,	,	PUNCT
ejpam-5775	122	47	for	for	ADP
ejpam-5775	122	48	more	more	ADJ
ejpam-5775	122	49	about	about	ADP
ejpam-5775	122	50	algebraic	algebraic	ADJ
ejpam-5775	122	51	structure	structure	NOUN
ejpam-5775	122	52	(	(	PUNCT
ejpam-5775	122	53	see	see	VERB
ejpam-5775	122	54	for	for	ADP
ejpam-5775	122	55	example	example	NOUN
ejpam-5775	122	56	[	[	X
ejpam-5775	122	57	1	1	NUM
ejpam-5775	122	58	]	]	NUM
ejpam-5775	122	59	)	)	PUNCT
ejpam-5775	122	60	.	.	PUNCT
ejpam-5775	123	1	definition	definition	NOUN
ejpam-5775	123	2	3	3	NUM
ejpam-5775	123	3	.	.	PUNCT
ejpam-5775	124	1	the	the	DET
ejpam-5775	124	2	additive	additive	ADJ
ejpam-5775	124	3	product	product	NOUN
ejpam-5775	124	4	⊕	⊕	PROPN
ejpam-5775	124	5	in	in	ADP
ejpam-5775	124	6	welded	weld	VERB
ejpam-5775	124	7	tangle	tangle	NOUN
ejpam-5775	124	8	-	-	PUNCT
ejpam-5775	124	9	oids	oid	NOUN
ejpam-5775	124	10	categories	category	NOUN
ejpam-5775	124	11	is	be	AUX
ejpam-5775	124	12	defined	define	VERB
ejpam-5775	124	13	as	as	ADP
ejpam-5775	124	14	follows	follow	VERB
ejpam-5775	124	15	,	,	PUNCT
ejpam-5775	124	16	on	on	ADP
ejpam-5775	124	17	objects	object	NOUN
ejpam-5775	124	18	,	,	PUNCT
ejpam-5775	124	19	let	let	VERB
ejpam-5775	124	20	n	n	PRON
ejpam-5775	124	21	,	,	PUNCT
ejpam-5775	124	22	m	m	VERB
ejpam-5775	124	23	∈	∈	PROPN
ejpam-5775	124	24	n	n	NOUN
ejpam-5775	124	25	,	,	PUNCT
ejpam-5775	124	26	•	•	NUM
ejpam-5775	124	27	∀m	∀m	PROPN
ejpam-5775	124	28	∈	∈	PROPN
ejpam-5775	124	29	n	n	CCONJ
ejpam-5775	124	30	,	,	PUNCT
ejpam-5775	124	31	m⊕	m⊕	X
ejpam-5775	124	32	1	1	NUM
ejpam-5775	124	33	=	=	SYM
ejpam-5775	124	34	m	m	NOUN
ejpam-5775	124	35	=	=	SYM
ejpam-5775	124	36	1⊕m	1⊕m	NUM
ejpam-5775	124	37	,	,	PUNCT
ejpam-5775	124	38	•	•	NUM
ejpam-5775	124	39	∀	∀	X
ejpam-5775	124	40	m	m	NOUN
ejpam-5775	124	41	,	,	PUNCT
ejpam-5775	124	42	n	n	PROPN
ejpam-5775	124	43	∈	∈	PROPN
ejpam-5775	124	44	n	n	CCONJ
ejpam-5775	124	45	,	,	PUNCT
ejpam-5775	124	46	m⊕	m⊕	NOUN
ejpam-5775	124	47	n	n	SYM
ejpam-5775	124	48	=	=	SYM
ejpam-5775	124	49	m+	m+	NUM
ejpam-5775	124	50	n−	n−	NOUN
ejpam-5775	124	51	1	1	NUM
ejpam-5775	124	52	,	,	PUNCT
ejpam-5775	125	1	•	•	PRON
ejpam-5775	125	2	0⊕	0⊕	NUM
ejpam-5775	125	3	0	0	NUM
ejpam-5775	125	4	is	be	AUX
ejpam-5775	125	5	not	not	PART
ejpam-5775	125	6	defined	define	VERB
ejpam-5775	125	7	.	.	PUNCT
ejpam-5775	126	1	theorem	theorem	NOUN
ejpam-5775	126	2	1	1	NUM
ejpam-5775	126	3	.	.	PUNCT
ejpam-5775	127	1	the	the	DET
ejpam-5775	127	2	additive	additive	ADJ
ejpam-5775	127	3	product	product	NOUN
ejpam-5775	127	4	⊕	⊕	PROPN
ejpam-5775	127	5	in	in	ADP
ejpam-5775	127	6	welded	weld	VERB
ejpam-5775	127	7	tangle	tangle	NOUN
ejpam-5775	127	8	-	-	PUNCT
ejpam-5775	127	9	oids	oid	NOUN
ejpam-5775	127	10	categories	category	NOUN
ejpam-5775	127	11	satisfy	satisfy	VERB
ejpam-5775	127	12	the	the	DET
ejpam-5775	127	13	following	follow	VERB
ejpam-5775	127	14	properties	property	NOUN
ejpam-5775	127	15	.	.	PUNCT
ejpam-5775	128	1	on	on	ADP
ejpam-5775	128	2	morphisms	morphism	NOUN
ejpam-5775	128	3	;	;	PUNCT
ejpam-5775	128	4	h.	h.	NOUN
ejpam-5775	128	5	albeladi	albeladi	PROPN
ejpam-5775	128	6	,	,	PUNCT
ejpam-5775	128	7	c.	c.	PROPN
ejpam-5775	128	8	ozel	ozel	PROPN
ejpam-5775	128	9	/	/	SYM
ejpam-5775	128	10	eur	eur	PROPN
ejpam-5775	128	11	.	.	PUNCT
ejpam-5775	129	1	j.	j.	PROPN
ejpam-5775	129	2	pure	pure	PROPN
ejpam-5775	129	3	appl	appl	PROPN
ejpam-5775	129	4	.	.	PROPN
ejpam-5775	129	5	math	math	PROPN
ejpam-5775	129	6	,	,	PUNCT
ejpam-5775	129	7	18	18	NUM
ejpam-5775	129	8	(	(	PUNCT
ejpam-5775	129	9	1	1	NUM
ejpam-5775	129	10	)	)	PUNCT
ejpam-5775	129	11	(	(	PUNCT
ejpam-5775	129	12	2025	2025	NUM
ejpam-5775	129	13	)	)	PUNCT
ejpam-5775	129	14	,	,	PUNCT
ejpam-5775	129	15	5775	5775	NUM
ejpam-5775	129	16	8	8	NUM
ejpam-5775	129	17	of	of	ADP
ejpam-5775	129	18	13	13	NUM
ejpam-5775	129	19	•	•	NOUN
ejpam-5775	129	20	let	let	VERB
ejpam-5775	129	21	n	n	CCONJ
ejpam-5775	129	22	,	,	PUNCT
ejpam-5775	129	23	n′,m	n′,m	NOUN
ejpam-5775	129	24	,	,	PUNCT
ejpam-5775	129	25	m′	m′	NOUN
ejpam-5775	129	26	∈	∈	PROPN
ejpam-5775	129	27	n	n	CCONJ
ejpam-5775	129	28	,	,	PUNCT
ejpam-5775	129	29	and	and	CCONJ
ejpam-5775	129	30	f	f	NOUN
ejpam-5775	129	31	:	:	PUNCT
ejpam-5775	129	32	n	n	X
ejpam-5775	129	33	→	→	SYM
ejpam-5775	129	34	n′	n′	PROPN
ejpam-5775	129	35	and	and	CCONJ
ejpam-5775	129	36	g	g	PROPN
ejpam-5775	129	37	:	:	PUNCT
ejpam-5775	129	38	m	m	PROPN
ejpam-5775	129	39	→	→	SYM
ejpam-5775	129	40	m′	m′	NUM
ejpam-5775	129	41	,	,	PUNCT
ejpam-5775	129	42	f	f	PROPN
ejpam-5775	129	43	⊕	⊕	PROPN
ejpam-5775	129	44	g	g	PROPN
ejpam-5775	129	45	:	:	PUNCT
ejpam-5775	129	46	n⊕m	n⊕m	NOUN
ejpam-5775	129	47	→	→	SYM
ejpam-5775	129	48	n′	n′	DET
ejpam-5775	129	49	⊕m′.	⊕m′.	NOUN
ejpam-5775	129	50	note	note	NOUN
ejpam-5775	129	51	that	that	SCONJ
ejpam-5775	129	52	the	the	DET
ejpam-5775	129	53	additive	additive	NOUN
ejpam-5775	129	54	not	not	PART
ejpam-5775	129	55	defined	define	VERB
ejpam-5775	129	56	in	in	ADP
ejpam-5775	129	57	case	case	NOUN
ejpam-5775	129	58	n	n	NOUN
ejpam-5775	129	59	=	=	SYM
ejpam-5775	129	60	m	m	PROPN
ejpam-5775	129	61	=	=	SYM
ejpam-5775	129	62	0	0	NUM
ejpam-5775	129	63	or	or	CCONJ
ejpam-5775	129	64	n′	n′	NOUN
ejpam-5775	129	65	=	=	PUNCT
ejpam-5775	129	66	m′	m′	NOUN
ejpam-5775	129	67	=	=	SYM
ejpam-5775	129	68	0	0	NUM
ejpam-5775	129	69	.	.	NOUN
ejpam-5775	129	70	•	•	NOUN
ejpam-5775	129	71	the	the	DET
ejpam-5775	129	72	identity	identity	NOUN
ejpam-5775	129	73	morphisms	morphism	VERB
ejpam-5775	129	74	id1	id1	PROPN
ejpam-5775	129	75	:	:	PUNCT
ejpam-5775	129	76	1	1	NUM
ejpam-5775	129	77	→	→	SYM
ejpam-5775	129	78	1	1	NUM
ejpam-5775	129	79	,	,	PUNCT
ejpam-5775	129	80	•	•	ADP
ejpam-5775	129	81	the	the	DET
ejpam-5775	129	82	product	product	NOUN
ejpam-5775	129	83	is	be	AUX
ejpam-5775	129	84	well	well	ADV
ejpam-5775	129	85	defined	define	VERB
ejpam-5775	129	86	,	,	PUNCT
ejpam-5775	129	87	let	let	VERB
ejpam-5775	129	88	f	f	X
ejpam-5775	129	89	,	,	PUNCT
ejpam-5775	129	90	f	f	PROPN
ejpam-5775	130	1	′	′	NUM
ejpam-5775	130	2	:	:	PUNCT
ejpam-5775	131	1	n	n	X
ejpam-5775	131	2	→	→	SYM
ejpam-5775	131	3	n′	n′	PROPN
ejpam-5775	131	4	,	,	PUNCT
ejpam-5775	131	5	g	g	NOUN
ejpam-5775	131	6	,	,	PUNCT
ejpam-5775	131	7	g′	g′	NOUN
ejpam-5775	131	8	:	:	PUNCT
ejpam-5775	131	9	m	m	VERB
ejpam-5775	131	10	→	→	SYM
ejpam-5775	131	11	m′	m′	NUM
ejpam-5775	131	12	and	and	CCONJ
ejpam-5775	131	13	f	f	PROPN
ejpam-5775	131	14	∼=	∼=	PROPN
ejpam-5775	131	15	f	f	PROPN
ejpam-5775	131	16	′	′	NOUN
ejpam-5775	131	17	,	,	PUNCT
ejpam-5775	131	18	g	g	PROPN
ejpam-5775	131	19	∼=	∼=	PROPN
ejpam-5775	131	20	g′.	g′.	NOUN
ejpam-5775	131	21	then	then	ADV
ejpam-5775	131	22	,	,	PUNCT
ejpam-5775	131	23	f	f	PROPN
ejpam-5775	131	24	⊕	⊕	PROPN
ejpam-5775	131	25	g	g	PROPN
ejpam-5775	131	26	:	:	PUNCT
ejpam-5775	131	27	n⊕m	n⊕m	NOUN
ejpam-5775	131	28	→	→	SYM
ejpam-5775	131	29	n′	n′	X
ejpam-5775	131	30	⊕m′	⊕m′	PROPN
ejpam-5775	131	31	f	f	PROPN
ejpam-5775	131	32	′	′	NUM
ejpam-5775	131	33	⊕	⊕	PROPN
ejpam-5775	131	34	g′	g′	NOUN
ejpam-5775	131	35	:	:	PUNCT
ejpam-5775	131	36	n⊕m	n⊕m	NOUN
ejpam-5775	131	37	→	→	SYM
ejpam-5775	131	38	n′	n′	X
ejpam-5775	131	39	⊕m′	⊕m′	PROPN
ejpam-5775	131	40	,	,	PUNCT
ejpam-5775	131	41	then	then	ADV
ejpam-5775	131	42	f	f	PROPN
ejpam-5775	131	43	⊕	⊕	PROPN
ejpam-5775	131	44	g	g	PROPN
ejpam-5775	132	1	∼=	∼=	PROPN
ejpam-5775	132	2	f	f	NOUN
ejpam-5775	132	3	′	′	NUM
ejpam-5775	132	4	⊕	⊕	PROPN
ejpam-5775	132	5	g′.	g′.	ADP
ejpam-5775	132	6	•	•	NOUN
ejpam-5775	132	7	the	the	DET
ejpam-5775	132	8	product	product	NOUN
ejpam-5775	132	9	is	be	AUX
ejpam-5775	132	10	commutative	commutative	ADJ
ejpam-5775	132	11	,	,	PUNCT
ejpam-5775	132	12	on	on	ADP
ejpam-5775	132	13	objects	object	NOUN
ejpam-5775	132	14	,	,	PUNCT
ejpam-5775	132	15	∀m	∀m	PROPN
ejpam-5775	132	16	,	,	PUNCT
ejpam-5775	132	17	n	n	CCONJ
ejpam-5775	132	18	,	,	PUNCT
ejpam-5775	132	19	m⊕	m⊕	NOUN
ejpam-5775	132	20	n	n	SYM
ejpam-5775	132	21	=	=	SYM
ejpam-5775	132	22	m+	m+	NUM
ejpam-5775	132	23	n−	n−	NOUN
ejpam-5775	132	24	1	1	NUM
ejpam-5775	132	25	=	=	SYM
ejpam-5775	132	26	n⊕m	n⊕m	PROPN
ejpam-5775	132	27	,	,	PUNCT
ejpam-5775	132	28	•	•	NUM
ejpam-5775	132	29	associativity	associativity	NOUN
ejpam-5775	132	30	,	,	PUNCT
ejpam-5775	132	31	on	on	ADP
ejpam-5775	132	32	objects	object	NOUN
ejpam-5775	132	33	let	let	VERB
ejpam-5775	132	34	m	m	PRON
ejpam-5775	132	35	,	,	PUNCT
ejpam-5775	132	36	n	n	CCONJ
ejpam-5775	132	37	,	,	PUNCT
ejpam-5775	132	38	u	u	PROPN
ejpam-5775	132	39	∈	∈	PROPN
ejpam-5775	132	40	n	n	CCONJ
ejpam-5775	132	41	,	,	PUNCT
ejpam-5775	132	42	(	(	PUNCT
ejpam-5775	132	43	m⊕	m⊕	VERB
ejpam-5775	132	44	n)⊕	n)⊕	NOUN
ejpam-5775	132	45	u	u	NOUN
ejpam-5775	132	46	=	=	NOUN
ejpam-5775	132	47	m+	m+	NUM
ejpam-5775	132	48	(	(	PUNCT
ejpam-5775	132	49	n−	n−	NOUN
ejpam-5775	132	50	1)⊕	1)⊕	NUM
ejpam-5775	132	51	u	u	NOUN
ejpam-5775	132	52	=	=	PUNCT
ejpam-5775	132	53	m+	m+	NUM
ejpam-5775	132	54	n−	n−	NOUN
ejpam-5775	132	55	1	1	NUM
ejpam-5775	132	56	+	+	NUM
ejpam-5775	132	57	u−	u−	PROPN
ejpam-5775	132	58	1	1	NUM
ejpam-5775	132	59	=	=	SYM
ejpam-5775	132	60	m+	m+	NUM
ejpam-5775	132	61	n+	n+	NUM
ejpam-5775	132	62	u−	u−	PROPN
ejpam-5775	132	63	2	2	NUM
ejpam-5775	132	64	,	,	PUNCT
ejpam-5775	132	65	m⊕	m⊕	NUM
ejpam-5775	132	66	(	(	PUNCT
ejpam-5775	132	67	n⊕	n⊕	NOUN
ejpam-5775	132	68	u	u	NOUN
ejpam-5775	132	69	)	)	PUNCT
ejpam-5775	132	70	=	=	NUM
ejpam-5775	132	71	m⊕	m⊕	X
ejpam-5775	132	72	n+	n+	X
ejpam-5775	132	73	(	(	PUNCT
ejpam-5775	132	74	u−	u−	NOUN
ejpam-5775	132	75	1	1	NUM
ejpam-5775	132	76	)	)	PUNCT
ejpam-5775	133	1	=	=	SYM
ejpam-5775	133	2	m+	m+	NUM
ejpam-5775	133	3	n+	n+	NUM
ejpam-5775	133	4	u−	u−	PROPN
ejpam-5775	133	5	1−	1−	NUM
ejpam-5775	133	6	1	1	NUM
ejpam-5775	133	7	=	=	SYM
ejpam-5775	133	8	m+	m+	NUM
ejpam-5775	133	9	n+	n+	NUM
ejpam-5775	133	10	u−	u−	PROPN
ejpam-5775	133	11	2	2	NUM
ejpam-5775	133	12	.	.	PUNCT
ejpam-5775	134	1	let	let	VERB
ejpam-5775	134	2	f	f	NOUN
ejpam-5775	134	3	:	:	PUNCT
ejpam-5775	134	4	n	n	PROPN
ejpam-5775	134	5	→	→	SYM
ejpam-5775	134	6	n′	n′	PROPN
ejpam-5775	134	7	,	,	PUNCT
ejpam-5775	134	8	g	g	NOUN
ejpam-5775	134	9	:	:	PUNCT
ejpam-5775	134	10	m	m	PROPN
ejpam-5775	134	11	→	→	SYM
ejpam-5775	134	12	m′	m′	NOUN
ejpam-5775	134	13	and	and	CCONJ
ejpam-5775	134	14	h	h	NOUN
ejpam-5775	134	15	:	:	PUNCT
ejpam-5775	134	16	u	u	X
ejpam-5775	134	17	→	→	SYM
ejpam-5775	134	18	u′	u′	PROPN
ejpam-5775	134	19	,	,	PUNCT
ejpam-5775	134	20	we	we	PRON
ejpam-5775	134	21	have	have	VERB
ejpam-5775	134	22	(	(	PUNCT
ejpam-5775	134	23	f	f	PROPN
ejpam-5775	134	24	⊕	⊕	PROPN
ejpam-5775	134	25	g)⊕	g)⊕	PROPN
ejpam-5775	135	1	h	h	NOUN
ejpam-5775	135	2	:	:	PUNCT
ejpam-5775	135	3	(	(	PUNCT
ejpam-5775	135	4	n⊕m)⊕	n⊕m)⊕	X
ejpam-5775	135	5	u	u	NOUN
ejpam-5775	135	6	→	→	PUNCT
ejpam-5775	135	7	(	(	PUNCT
ejpam-5775	135	8	n′	n′	PROPN
ejpam-5775	135	9	⊕m′)⊕	⊕m′)⊕	PROPN
ejpam-5775	135	10	u′	u′	PROPN
ejpam-5775	135	11	f	f	PROPN
ejpam-5775	135	12	⊕	⊕	PROPN
ejpam-5775	135	13	(	(	PUNCT
ejpam-5775	135	14	g	g	PROPN
ejpam-5775	135	15	⊕	⊕	PROPN
ejpam-5775	135	16	h	h	PROPN
ejpam-5775	135	17	)	)	PUNCT
ejpam-5775	135	18	:	:	PUNCT
ejpam-5775	135	19	n⊕	n⊕	NOUN
ejpam-5775	135	20	(	(	PUNCT
ejpam-5775	135	21	m⊕	m⊕	NOUN
ejpam-5775	135	22	u	u	NOUN
ejpam-5775	135	23	)	)	PUNCT
ejpam-5775	135	24	→	→	SYM
ejpam-5775	135	25	n′	n′	PROPN
ejpam-5775	135	26	⊕	⊕	PROPN
ejpam-5775	135	27	(	(	PUNCT
ejpam-5775	135	28	m′	m′	PROPN
ejpam-5775	135	29	⊕	⊕	PROPN
ejpam-5775	135	30	u′	u′	PROPN
ejpam-5775	135	31	)	)	PUNCT
ejpam-5775	135	32	,	,	PUNCT
ejpam-5775	135	33	then	then	ADV
ejpam-5775	135	34	(	(	PUNCT
ejpam-5775	135	35	f	f	PROPN
ejpam-5775	135	36	⊕	⊕	PROPN
ejpam-5775	135	37	g)⊕	g)⊕	AUX
ejpam-5775	135	38	h	h	NOUN
ejpam-5775	136	1	=	=	SYM
ejpam-5775	136	2	f	f	PROPN
ejpam-5775	136	3	⊕	⊕	PROPN
ejpam-5775	136	4	(	(	PUNCT
ejpam-5775	136	5	g	g	PROPN
ejpam-5775	136	6	⊕	⊕	PROPN
ejpam-5775	136	7	h	h	PROPN
ejpam-5775	136	8	)	)	PUNCT
ejpam-5775	136	9	.	.	PUNCT
ejpam-5775	137	1	h.	h.	PROPN
ejpam-5775	137	2	albeladi	albeladi	PROPN
ejpam-5775	137	3	,	,	PUNCT
ejpam-5775	137	4	c.	c.	PROPN
ejpam-5775	137	5	ozel	ozel	PROPN
ejpam-5775	137	6	/	/	SYM
ejpam-5775	137	7	eur	eur	PROPN
ejpam-5775	137	8	.	.	PUNCT
ejpam-5775	138	1	j.	j.	PROPN
ejpam-5775	138	2	pure	pure	PROPN
ejpam-5775	138	3	appl	appl	PROPN
ejpam-5775	138	4	.	.	PROPN
ejpam-5775	138	5	math	math	PROPN
ejpam-5775	138	6	,	,	PUNCT
ejpam-5775	138	7	18	18	NUM
ejpam-5775	138	8	(	(	PUNCT
ejpam-5775	138	9	1	1	NUM
ejpam-5775	138	10	)	)	PUNCT
ejpam-5775	138	11	(	(	PUNCT
ejpam-5775	138	12	2025	2025	NUM
ejpam-5775	138	13	)	)	PUNCT
ejpam-5775	138	14	,	,	PUNCT
ejpam-5775	138	15	5775	5775	NUM
ejpam-5775	138	16	9	9	NUM
ejpam-5775	138	17	of	of	ADP
ejpam-5775	138	18	13	13	NUM
ejpam-5775	138	19	see	see	VERB
ejpam-5775	138	20	the	the	DET
ejpam-5775	138	21	following	follow	VERB
ejpam-5775	138	22	example	example	NOUN
ejpam-5775	138	23	:	:	PUNCT
ejpam-5775	138	24	theorem	theorem	NOUN
ejpam-5775	138	25	2	2	NUM
ejpam-5775	138	26	.	.	PUNCT
ejpam-5775	139	1	the	the	DET
ejpam-5775	139	2	category	category	NOUN
ejpam-5775	139	3	of	of	ADP
ejpam-5775	139	4	welded	weld	VERB
ejpam-5775	139	5	tangle	tangle	NOUN
ejpam-5775	139	6	-	-	PUNCT
ejpam-5775	139	7	oids	oid	NOUN
ejpam-5775	139	8	is	be	AUX
ejpam-5775	139	9	an	an	DET
ejpam-5775	139	10	associative	associative	ADJ
ejpam-5775	139	11	algebra	algebra	NOUN
ejpam-5775	139	12	by	by	ADP
ejpam-5775	139	13	formal	formal	ADJ
ejpam-5775	139	14	addition	addition	NOUN
ejpam-5775	139	15	and	and	CCONJ
ejpam-5775	139	16	by	by	ADP
ejpam-5775	139	17	additive	additive	ADJ
ejpam-5775	139	18	product	product	NOUN
ejpam-5775	139	19	⊕.	⊕.	NOUN
ejpam-5775	139	20	example	example	NOUN
ejpam-5775	140	1	1	1	X
ejpam-5775	140	2	.	.	PUNCT
ejpam-5775	141	1	we	we	PRON
ejpam-5775	141	2	can	can	AUX
ejpam-5775	141	3	write	write	VERB
ejpam-5775	141	4	any	any	DET
ejpam-5775	141	5	welded	weld	VERB
ejpam-5775	141	6	tangle	tangle	NOUN
ejpam-5775	141	7	-	-	PUNCT
ejpam-5775	141	8	oids	oid	NOUN
ejpam-5775	141	9	as	as	ADP
ejpam-5775	141	10	composition	composition	NOUN
ejpam-5775	141	11	and	and	CCONJ
ejpam-5775	141	12	tensor	tensor	NOUN
ejpam-5775	141	13	or	or	CCONJ
ejpam-5775	141	14	as	as	ADP
ejpam-5775	141	15	composition	composition	NOUN
ejpam-5775	141	16	,	,	PUNCT
ejpam-5775	141	17	tensor	tensor	NOUN
ejpam-5775	141	18	and	and	CCONJ
ejpam-5775	141	19	sum	sum	NOUN
ejpam-5775	141	20	.	.	PUNCT
ejpam-5775	142	1	here	here	ADV
ejpam-5775	142	2	is	be	AUX
ejpam-5775	142	3	an	an	DET
ejpam-5775	142	4	example	example	NOUN
ejpam-5775	142	5	.	.	PUNCT
ejpam-5775	143	1	represent	represent	VERB
ejpam-5775	143	2	the	the	DET
ejpam-5775	143	3	example	example	NOUN
ejpam-5775	143	4	algebraically	algebraically	ADV
ejpam-5775	143	5	in	in	ADP
ejpam-5775	143	6	two	two	NUM
ejpam-5775	143	7	different	different	ADJ
ejpam-5775	143	8	ways	way	NOUN
ejpam-5775	143	9	,	,	PUNCT
ejpam-5775	143	10	h.	h.	NOUN
ejpam-5775	143	11	albeladi	albeladi	PROPN
ejpam-5775	143	12	,	,	PUNCT
ejpam-5775	143	13	c.	c.	PROPN
ejpam-5775	143	14	ozel	ozel	PROPN
ejpam-5775	143	15	/	/	SYM
ejpam-5775	143	16	eur	eur	PROPN
ejpam-5775	143	17	.	.	PUNCT
ejpam-5775	144	1	j.	j.	PROPN
ejpam-5775	144	2	pure	pure	PROPN
ejpam-5775	144	3	appl	appl	PROPN
ejpam-5775	144	4	.	.	PROPN
ejpam-5775	144	5	math	math	PROPN
ejpam-5775	144	6	,	,	PUNCT
ejpam-5775	144	7	18	18	NUM
ejpam-5775	144	8	(	(	PUNCT
ejpam-5775	144	9	1	1	NUM
ejpam-5775	144	10	)	)	PUNCT
ejpam-5775	144	11	(	(	PUNCT
ejpam-5775	144	12	2025	2025	NUM
ejpam-5775	144	13	)	)	PUNCT
ejpam-5775	144	14	,	,	PUNCT
ejpam-5775	144	15	5775	5775	NUM
ejpam-5775	144	16	10	10	NUM
ejpam-5775	144	17	of	of	ADP
ejpam-5775	144	18	13	13	NUM
ejpam-5775	144	19	1	1	NUM
ejpam-5775	144	20	.	.	PUNCT
ejpam-5775	145	1	(	(	PUNCT
ejpam-5775	145	2	∩	∩	PROPN
ejpam-5775	145	3	⊗	⊗	PROPN
ejpam-5775	145	4	∩⊗¡)(id1	∩⊗¡)(id1	PROPN
ejpam-5775	145	5	⊗x−	⊗x−	NUM
ejpam-5775	145	6	⊗x−)(id2	⊗x−)(id2	NOUN
ejpam-5775	145	7	⊗	⊗	PROPN
ejpam-5775	145	8	∪⊗	∪⊗	PROPN
ejpam-5775	145	9	id1)(id1	id1)(id1	ADV
ejpam-5775	145	10	⊗x−)(∪⊗	⊗x−)(∪⊗	PROPN
ejpam-5775	145	11	!	!	PUNCT
ejpam-5775	145	12	)	)	PUNCT
ejpam-5775	145	13	,	,	PUNCT
ejpam-5775	145	14	2	2	X
ejpam-5775	145	15	.	.	PUNCT
ejpam-5775	145	16	(	(	PUNCT
ejpam-5775	145	17	∩⊗¡)⊗	∩⊗¡)⊗	PROPN
ejpam-5775	145	18	(	(	PUNCT
ejpam-5775	145	19	∩	∩	PROPN
ejpam-5775	145	20	⊕x−	⊕x−	X
ejpam-5775	145	21	⊗x−)(id1	⊗x−)(id1	PROPN
ejpam-5775	145	22	⊗	⊗	PROPN
ejpam-5775	145	23	∪⊗	∪⊗	PROPN
ejpam-5775	145	24	id1)(∪,⊕x−⊕	id1)(∪,⊕x−⊕	PROPN
ejpam-5775	145	25	!	!	PUNCT
ejpam-5775	145	26	)	)	PUNCT
ejpam-5775	145	27	.	.	PUNCT
ejpam-5775	146	1	then	then	ADV
ejpam-5775	146	2	we	we	PRON
ejpam-5775	146	3	have	have	VERB
ejpam-5775	146	4	the	the	DET
ejpam-5775	146	5	following	following	ADJ
ejpam-5775	146	6	result	result	NOUN
ejpam-5775	146	7	for	for	ADP
ejpam-5775	146	8	the	the	DET
ejpam-5775	146	9	tangle	tangle	NOUN
ejpam-5775	146	10	-	-	PUNCT
ejpam-5775	146	11	oids	oid	NOUN
ejpam-5775	146	12	.	.	PUNCT
ejpam-5775	147	1	theorem	theorem	NOUN
ejpam-5775	147	2	3	3	X
ejpam-5775	147	3	.	.	X
ejpam-5775	148	1	there	there	PRON
ejpam-5775	148	2	is	be	VERB
ejpam-5775	148	3	a	a	DET
ejpam-5775	148	4	relationship	relationship	NOUN
ejpam-5775	148	5	between	between	ADP
ejpam-5775	148	6	composition	composition	NOUN
ejpam-5775	148	7	,	,	PUNCT
ejpam-5775	148	8	⊗	⊗	PROPN
ejpam-5775	148	9	in	in	ADP
ejpam-5775	148	10	the	the	DET
ejpam-5775	148	11	definition	definition	NOUN
ejpam-5775	148	12	of	of	ADP
ejpam-5775	148	13	welded	weld	VERB
ejpam-5775	148	14	tangle	tangle	NOUN
ejpam-5775	148	15	-	-	PUNCT
ejpam-5775	148	16	oids	oid	NOUN
ejpam-5775	148	17	category	category	NOUN
ejpam-5775	148	18	and	and	CCONJ
ejpam-5775	148	19	⊕	⊕	PROPN
ejpam-5775	148	20	,	,	PUNCT
ejpam-5775	148	21	we	we	PRON
ejpam-5775	148	22	address	address	VERB
ejpam-5775	148	23	this	this	DET
ejpam-5775	148	24	relation	relation	NOUN
ejpam-5775	148	25	on	on	ADP
ejpam-5775	148	26	the	the	DET
ejpam-5775	148	27	category	category	NOUN
ejpam-5775	148	28	’s	’s	PART
ejpam-5775	148	29	generators	generator	NOUN
ejpam-5775	148	30	as	as	SCONJ
ejpam-5775	148	31	follows	follow	VERB
ejpam-5775	148	32	.	.	PUNCT
ejpam-5775	149	1	h.	h.	PROPN
ejpam-5775	149	2	albeladi	albeladi	PROPN
ejpam-5775	149	3	,	,	PUNCT
ejpam-5775	149	4	c.	c.	PROPN
ejpam-5775	149	5	ozel	ozel	PROPN
ejpam-5775	149	6	/	/	SYM
ejpam-5775	149	7	eur	eur	PROPN
ejpam-5775	149	8	.	.	PUNCT
ejpam-5775	150	1	j.	j.	PROPN
ejpam-5775	150	2	pure	pure	PROPN
ejpam-5775	150	3	appl	appl	PROPN
ejpam-5775	150	4	.	.	PROPN
ejpam-5775	150	5	math	math	PROPN
ejpam-5775	150	6	,	,	PUNCT
ejpam-5775	150	7	18	18	NUM
ejpam-5775	150	8	(	(	PUNCT
ejpam-5775	150	9	1	1	NUM
ejpam-5775	150	10	)	)	PUNCT
ejpam-5775	150	11	(	(	PUNCT
ejpam-5775	150	12	2025	2025	NUM
ejpam-5775	150	13	)	)	PUNCT
ejpam-5775	150	14	,	,	PUNCT
ejpam-5775	150	15	5775	5775	NUM
ejpam-5775	150	16	11	11	NUM
ejpam-5775	150	17	of	of	ADP
ejpam-5775	150	18	13	13	NUM
ejpam-5775	150	19	h.	h.	NOUN
ejpam-5775	150	20	albeladi	albeladi	NOUN
ejpam-5775	150	21	,	,	PUNCT
ejpam-5775	150	22	c.	c.	PROPN
ejpam-5775	150	23	ozel	ozel	PROPN
ejpam-5775	150	24	/	/	SYM
ejpam-5775	150	25	eur	eur	PROPN
ejpam-5775	150	26	.	.	PUNCT
ejpam-5775	151	1	j.	j.	PROPN
ejpam-5775	151	2	pure	pure	PROPN
ejpam-5775	151	3	appl	appl	PROPN
ejpam-5775	151	4	.	.	PROPN
ejpam-5775	151	5	math	math	PROPN
ejpam-5775	151	6	,	,	PUNCT
ejpam-5775	151	7	18	18	NUM
ejpam-5775	151	8	(	(	PUNCT
ejpam-5775	151	9	1	1	NUM
ejpam-5775	151	10	)	)	PUNCT
ejpam-5775	151	11	(	(	PUNCT
ejpam-5775	151	12	2025	2025	NUM
ejpam-5775	151	13	)	)	PUNCT
ejpam-5775	151	14	,	,	PUNCT
ejpam-5775	151	15	5775	5775	NUM
ejpam-5775	151	16	12	12	NUM
ejpam-5775	151	17	of	of	ADP
ejpam-5775	151	18	13	13	NUM
ejpam-5775	151	19	4	4	NUM
ejpam-5775	151	20	.	.	PUNCT
ejpam-5775	151	21	conclusion	conclusion	NOUN
ejpam-5775	151	22	and	and	CCONJ
ejpam-5775	151	23	future	future	ADJ
ejpam-5775	151	24	work	work	NOUN
ejpam-5775	151	25	in	in	ADP
ejpam-5775	151	26	this	this	DET
ejpam-5775	151	27	paper	paper	NOUN
ejpam-5775	152	1	,	,	PUNCT
ejpam-5775	152	2	we	we	PRON
ejpam-5775	152	3	defined	define	VERB
ejpam-5775	152	4	a	a	DET
ejpam-5775	152	5	new	new	ADJ
ejpam-5775	152	6	product	product	NOUN
ejpam-5775	152	7	in	in	ADP
ejpam-5775	152	8	the	the	DET
ejpam-5775	152	9	category	category	NOUN
ejpam-5775	152	10	of	of	ADP
ejpam-5775	152	11	tangle	tangle	NOUN
ejpam-5775	152	12	-	-	PUNCT
ejpam-5775	152	13	oids	oid	NOUN
ejpam-5775	152	14	which	which	PRON
ejpam-5775	152	15	we	we	PRON
ejpam-5775	152	16	call	call	VERB
ejpam-5775	152	17	additive	additive	ADJ
ejpam-5775	152	18	product	product	NOUN
ejpam-5775	152	19	.	.	PUNCT
ejpam-5775	153	1	we	we	PRON
ejpam-5775	153	2	proved	prove	VERB
ejpam-5775	153	3	that	that	SCONJ
ejpam-5775	153	4	this	this	DET
ejpam-5775	153	5	additive	additive	ADJ
ejpam-5775	153	6	product	product	NOUN
ejpam-5775	153	7	with	with	ADP
ejpam-5775	153	8	formal	formal	ADJ
ejpam-5775	153	9	addition	addition	NOUN
ejpam-5775	153	10	on	on	ADP
ejpam-5775	153	11	tangle	tangle	NOUN
ejpam-5775	153	12	-	-	PUNCT
ejpam-5775	153	13	oids	oid	NOUN
ejpam-5775	153	14	gives	give	VERB
ejpam-5775	153	15	us	we	PRON
ejpam-5775	153	16	associative	associative	ADJ
ejpam-5775	153	17	algebra	algebra	NOUN
ejpam-5775	153	18	.	.	PUNCT
ejpam-5775	154	1	finally	finally	ADV
ejpam-5775	154	2	,	,	PUNCT
ejpam-5775	154	3	we	we	PRON
ejpam-5775	154	4	give	give	VERB
ejpam-5775	154	5	the	the	DET
ejpam-5775	154	6	relationship	relationship	NOUN
ejpam-5775	154	7	between	between	ADP
ejpam-5775	154	8	this	this	DET
ejpam-5775	154	9	new	new	ADJ
ejpam-5775	154	10	product	product	NOUN
ejpam-5775	154	11	,	,	PUNCT
ejpam-5775	154	12	and	and	CCONJ
ejpam-5775	154	13	tensor	tensor	NOUN
ejpam-5775	154	14	and	and	CCONJ
ejpam-5775	154	15	compositions	composition	NOUN
ejpam-5775	154	16	on	on	ADP
ejpam-5775	154	17	tangle	tangle	NOUN
ejpam-5775	154	18	-	-	PUNCT
ejpam-5775	154	19	oids	oid	NOUN
ejpam-5775	154	20	.	.	PUNCT
ejpam-5775	155	1	here	here	ADV
ejpam-5775	155	2	our	our	PRON
ejpam-5775	155	3	motivation	motivation	NOUN
ejpam-5775	155	4	was	be	AUX
ejpam-5775	155	5	classifying	classify	VERB
ejpam-5775	155	6	all	all	DET
ejpam-5775	155	7	objects	object	NOUN
ejpam-5775	155	8	in	in	ADP
ejpam-5775	155	9	the	the	DET
ejpam-5775	155	10	category	category	NOUN
ejpam-5775	155	11	of	of	ADP
ejpam-5775	155	12	tangle	tangle	NOUN
ejpam-5775	155	13	-	-	PUNCT
ejpam-5775	155	14	oids	oid	NOUN
ejpam-5775	155	15	using	use	VERB
ejpam-5775	155	16	algebraic	algebraic	ADJ
ejpam-5775	155	17	binary	binary	ADJ
ejpam-5775	155	18	operations	operation	NOUN
ejpam-5775	155	19	.	.	PUNCT
ejpam-5775	156	1	as	as	ADP
ejpam-5775	156	2	a	a	DET
ejpam-5775	156	3	future	future	ADJ
ejpam-5775	156	4	work	work	NOUN
ejpam-5775	156	5	,	,	PUNCT
ejpam-5775	156	6	we	we	PRON
ejpam-5775	156	7	would	would	AUX
ejpam-5775	156	8	like	like	VERB
ejpam-5775	156	9	to	to	PART
ejpam-5775	156	10	calculate	calculate	VERB
ejpam-5775	156	11	explicitly	explicitly	ADV
ejpam-5775	156	12	the	the	DET
ejpam-5775	156	13	ring	ring	NOUN
ejpam-5775	156	14	structure	structure	NOUN
ejpam-5775	156	15	of	of	ADP
ejpam-5775	156	16	this	this	DET
ejpam-5775	156	17	algebra	algebra	NOUN
ejpam-5775	156	18	by	by	ADP
ejpam-5775	156	19	generators	generator	NOUN
ejpam-5775	156	20	and	and	CCONJ
ejpam-5775	156	21	ideals	ideal	NOUN
ejpam-5775	156	22	.	.	PUNCT
ejpam-5775	157	1	also	also	ADV
ejpam-5775	157	2	want	want	VERB
ejpam-5775	157	3	to	to	PART
ejpam-5775	157	4	give	give	VERB
ejpam-5775	157	5	this	this	DET
ejpam-5775	157	6	algebraic	algebraic	ADJ
ejpam-5775	157	7	structure	structure	NOUN
ejpam-5775	157	8	by	by	ADP
ejpam-5775	157	9	matrices	matrix	NOUN
ejpam-5775	157	10	and	and	CCONJ
ejpam-5775	157	11	graphs	graph	NOUN
ejpam-5775	157	12	and	and	CCONJ
ejpam-5775	157	13	we	we	PRON
ejpam-5775	157	14	want	want	VERB
ejpam-5775	157	15	to	to	PART
ejpam-5775	157	16	find	find	VERB
ejpam-5775	157	17	a	a	DET
ejpam-5775	157	18	correspondence	correspondence	NOUN
ejpam-5775	157	19	between	between	ADP
ejpam-5775	157	20	tangle	tangle	NOUN
ejpam-5775	157	21	-	-	PUNCT
ejpam-5775	157	22	oids	oid	NOUN
ejpam-5775	157	23	,	,	PUNCT
ejpam-5775	157	24	federov	federov	ADJ
ejpam-5775	157	25	polytopes	polytope	NOUN
ejpam-5775	157	26	and	and	CCONJ
ejpam-5775	157	27	h.	h.	PROPN
ejpam-5775	157	28	albeladi	albeladi	PROPN
ejpam-5775	157	29	,	,	PUNCT
ejpam-5775	157	30	c.	c.	PROPN
ejpam-5775	157	31	ozel	ozel	PROPN
ejpam-5775	157	32	/	/	SYM
ejpam-5775	157	33	eur	eur	PROPN
ejpam-5775	157	34	.	.	PUNCT
ejpam-5775	158	1	j.	j.	PROPN
ejpam-5775	158	2	pure	pure	PROPN
ejpam-5775	158	3	appl	appl	PROPN
ejpam-5775	158	4	.	.	PROPN
ejpam-5775	158	5	math	math	PROPN
ejpam-5775	158	6	,	,	PUNCT
ejpam-5775	158	7	18	18	NUM
ejpam-5775	158	8	(	(	PUNCT
ejpam-5775	158	9	1	1	NUM
ejpam-5775	158	10	)	)	PUNCT
ejpam-5775	158	11	(	(	PUNCT
ejpam-5775	158	12	2025	2025	NUM
ejpam-5775	158	13	)	)	PUNCT
ejpam-5775	158	14	,	,	PUNCT
ejpam-5775	158	15	5775	5775	NUM
ejpam-5775	158	16	13	13	NUM
ejpam-5775	158	17	of	of	ADP
ejpam-5775	158	18	13	13	NUM
ejpam-5775	158	19	associated	associated	ADJ
ejpam-5775	158	20	graphs	graph	NOUN
ejpam-5775	158	21	and	and	CCONJ
ejpam-5775	158	22	matrices	matrix	NOUN
ejpam-5775	158	23	with	with	ADP
ejpam-5775	158	24	applications	application	NOUN
ejpam-5775	158	25	to	to	PART
ejpam-5775	158	26	broken	break	VERB
ejpam-5775	158	27	dna	dna	PROPN
ejpam-5775	158	28	’s	’s	NOUN
ejpam-5775	158	29	.	.	PUNCT
ejpam-5775	159	1	especially	especially	ADV
ejpam-5775	159	2	the	the	DET
ejpam-5775	159	3	rational	rational	ADJ
ejpam-5775	159	4	tangle	tangle	NOUN
ejpam-5775	159	5	-	-	PUNCT
ejpam-5775	159	6	oids	oid	NOUN
ejpam-5775	159	7	and	and	CCONJ
ejpam-5775	159	8	their	their	PRON
ejpam-5775	159	9	invariants	invariant	NOUN
ejpam-5775	159	10	play	play	VERB
ejpam-5775	159	11	an	an	DET
ejpam-5775	159	12	important	important	ADJ
ejpam-5775	159	13	role	role	NOUN
ejpam-5775	159	14	in	in	ADP
ejpam-5775	159	15	this	this	DET
ejpam-5775	159	16	idea	idea	NOUN
ejpam-5775	159	17	.	.	PUNCT
ejpam-5775	160	1	references	reference	NOUN
ejpam-5775	160	2	[	[	X
ejpam-5775	160	3	1	1	NUM
ejpam-5775	160	4	]	]	SYM
ejpam-5775	160	5	jǐŕı	jǐŕı	NUM
ejpam-5775	160	6	adámek	adámek	PROPN
ejpam-5775	160	7	,	,	PUNCT
ejpam-5775	160	8	horst	horst	PROPN
ejpam-5775	160	9	herrlich	herrlich	PROPN
ejpam-5775	160	10	,	,	PUNCT
ejpam-5775	160	11	and	and	CCONJ
ejpam-5775	160	12	george	george	PROPN
ejpam-5775	160	13	e	e	PROPN
ejpam-5775	160	14	strecker	strecker	NOUN
ejpam-5775	160	15	.	.	PUNCT
ejpam-5775	161	1	abstract	abstract	ADJ
ejpam-5775	161	2	and	and	CCONJ
ejpam-5775	161	3	concrete	concrete	ADJ
ejpam-5775	161	4	categories	category	NOUN
ejpam-5775	161	5	.	.	PUNCT
ejpam-5775	162	1	the	the	DET
ejpam-5775	162	2	joy	joy	NOUN
ejpam-5775	162	3	of	of	ADP
ejpam-5775	162	4	cats	cat	NOUN
ejpam-5775	162	5	.	.	PUNCT
ejpam-5775	163	1	citeseer	citeseer	NOUN
ejpam-5775	163	2	,	,	PUNCT
ejpam-5775	163	3	2004	2004	NUM
ejpam-5775	163	4	.	.	PUNCT
ejpam-5775	164	1	[	[	X
ejpam-5775	164	2	2	2	NUM
ejpam-5775	164	3	]	]	SYM
ejpam-5775	164	4	hadeel	hadeel	NOUN
ejpam-5775	164	5	albeladi	albeladi	NOUN
ejpam-5775	164	6	.	.	PUNCT
ejpam-5775	165	1	presentations	presentation	NOUN
ejpam-5775	165	2	of	of	ADP
ejpam-5775	165	3	strict	strict	ADJ
ejpam-5775	165	4	monoidal	monoidal	ADJ
ejpam-5775	165	5	categories	category	NOUN
ejpam-5775	165	6	and	and	CCONJ
ejpam-5775	165	7	welded	weld	VERB
ejpam-5775	165	8	tangle	tangle	NOUN
ejpam-5775	165	9	-	-	PUNCT
ejpam-5775	165	10	oids	oid	NOUN
ejpam-5775	165	11	.	.	PUNCT
ejpam-5775	166	1	phd	phd	NOUN
ejpam-5775	166	2	thesis	thesis	PROPN
ejpam-5775	166	3	,	,	PUNCT
ejpam-5775	166	4	university	university	NOUN
ejpam-5775	166	5	of	of	ADP
ejpam-5775	166	6	leeds	leed	NOUN
ejpam-5775	166	7	,	,	PUNCT
ejpam-5775	166	8	2022	2022	NUM
ejpam-5775	166	9	.	.	PUNCT
ejpam-5775	167	1	[	[	X
ejpam-5775	167	2	3	3	NUM
ejpam-5775	167	3	]	]	SYM
ejpam-5775	167	4	neslihan	neslihan	NOUN
ejpam-5775	167	5	gügümcü	gügümcü	NOUN
ejpam-5775	167	6	and	and	CCONJ
ejpam-5775	167	7	louis	louis	PROPN
ejpam-5775	167	8	h	h	PROPN
ejpam-5775	167	9	kauffman	kauffman	PROPN
ejpam-5775	167	10	.	.	PUNCT
ejpam-5775	168	1	new	new	ADJ
ejpam-5775	168	2	invariants	invariant	NOUN
ejpam-5775	168	3	of	of	ADP
ejpam-5775	168	4	knotoids	knotoid	NOUN
ejpam-5775	168	5	.	.	PUNCT
ejpam-5775	169	1	european	european	PROPN
ejpam-5775	169	2	journal	journal	PROPN
ejpam-5775	169	3	of	of	ADP
ejpam-5775	169	4	combinatorics	combinatorics	PROPN
ejpam-5775	169	5	,	,	PUNCT
ejpam-5775	169	6	65:186–229	65:186–229	NOUN
ejpam-5775	169	7	,	,	PUNCT
ejpam-5775	169	8	2017	2017	NUM
ejpam-5775	169	9	.	.	PUNCT
ejpam-5775	170	1	[	[	X
ejpam-5775	170	2	4	4	X
ejpam-5775	170	3	]	]	X
ejpam-5775	170	4	philip	philip	PROPN
ejpam-5775	170	5	j	j	PROPN
ejpam-5775	170	6	higgins	higgins	PROPN
ejpam-5775	170	7	.	.	PUNCT
ejpam-5775	171	1	categories	category	NOUN
ejpam-5775	171	2	and	and	CCONJ
ejpam-5775	171	3	groupoids	groupoid	NOUN
ejpam-5775	171	4	.	.	PUNCT
ejpam-5775	172	1	nostrand	nostrand	PROPN
ejpam-5775	172	2	reinhold	reinhold	PROPN
ejpam-5775	172	3	,	,	PUNCT
ejpam-5775	172	4	1971	1971	NUM
ejpam-5775	172	5	.	.	PUNCT
ejpam-5775	173	1	[	[	X
ejpam-5775	173	2	5	5	NUM
ejpam-5775	173	3	]	]	X
ejpam-5775	173	4	christian	christian	PROPN
ejpam-5775	173	5	kassel	kassel	PROPN
ejpam-5775	173	6	.	.	PUNCT
ejpam-5775	174	1	quantum	quantum	ADJ
ejpam-5775	174	2	groups	group	NOUN
ejpam-5775	174	3	,	,	PUNCT
ejpam-5775	174	4	volume	volume	NOUN
ejpam-5775	174	5	155	155	NUM
ejpam-5775	174	6	.	.	PUNCT
ejpam-5775	175	1	springer	springer	PROPN
ejpam-5775	175	2	science	science	PROPN
ejpam-5775	175	3	&	&	CCONJ
ejpam-5775	175	4	business	business	NOUN
ejpam-5775	175	5	media	medium	NOUN
ejpam-5775	175	6	,	,	PUNCT
ejpam-5775	175	7	2012	2012	NUM
ejpam-5775	175	8	.	.	PUNCT
ejpam-5775	176	1	[	[	X
ejpam-5775	176	2	6	6	NUM
ejpam-5775	176	3	]	]	SYM
ejpam-5775	176	4	louis	louis	PROPN
ejpam-5775	176	5	h	h	PROPN
ejpam-5775	176	6	kauffman	kauffman	PROPN
ejpam-5775	176	7	and	and	CCONJ
ejpam-5775	176	8	joao	joao	PROPN
ejpam-5775	176	9	faria	faria	PROPN
ejpam-5775	176	10	martins	martins	PROPN
ejpam-5775	176	11	.	.	PUNCT
ejpam-5775	177	1	invariants	invariant	NOUN
ejpam-5775	177	2	of	of	ADP
ejpam-5775	177	3	welded	weld	VERB
ejpam-5775	177	4	virtual	virtual	ADJ
ejpam-5775	177	5	knots	knot	NOUN
ejpam-5775	177	6	via	via	ADP
ejpam-5775	177	7	crossed	cross	VERB
ejpam-5775	177	8	module	module	NOUN
ejpam-5775	177	9	invariants	invariant	NOUN
ejpam-5775	177	10	of	of	ADP
ejpam-5775	177	11	knotted	knotted	ADJ
ejpam-5775	177	12	surfaces	surface	NOUN
ejpam-5775	177	13	.	.	PUNCT
ejpam-5775	178	1	compositio	compositio	PROPN
ejpam-5775	178	2	mathematica	mathematica	PROPN
ejpam-5775	178	3	,	,	PUNCT
ejpam-5775	178	4	144(4):1046	144(4):1046	PROPN
ejpam-5775	178	5	–	–	PUNCT
ejpam-5775	178	6	1080	1080	NUM
ejpam-5775	178	7	,	,	PUNCT
ejpam-5775	178	8	2008	2008	NUM
ejpam-5775	178	9	.	.	PUNCT
ejpam-5775	179	1	[	[	X
ejpam-5775	179	2	7	7	X
ejpam-5775	179	3	]	]	X
ejpam-5775	179	4	cenap	cenap	ADJ
ejpam-5775	179	5	ozel	ozel	PROPN
ejpam-5775	179	6	,	,	PUNCT
ejpam-5775	179	7	hadeel	hadeel	PROPN
ejpam-5775	179	8	albeladi	albeladi	NOUN
ejpam-5775	179	9	,	,	PUNCT
ejpam-5775	179	10	and	and	CCONJ
ejpam-5775	179	11	patrick	patrick	PROPN
ejpam-5775	179	12	linker	linker	PROPN
ejpam-5775	179	13	.	.	PUNCT
ejpam-5775	179	14	applications	application	NOUN
ejpam-5775	179	15	of	of	ADP
ejpam-5775	179	16	welded	weld	VERB
ejpam-5775	179	17	tangleoids	tangleoid	NOUN
ejpam-5775	179	18	to	to	PART
ejpam-5775	179	19	effective	effective	ADJ
ejpam-5775	179	20	quantum	quantum	ADJ
ejpam-5775	179	21	field	field	NOUN
ejpam-5775	179	22	theories	theory	NOUN
ejpam-5775	179	23	(	(	PUNCT
ejpam-5775	179	24	eqft	eqft	NOUN
ejpam-5775	179	25	)	)	PUNCT
ejpam-5775	179	26	.	.	PUNCT
ejpam-5775	180	1	advanced	advanced	ADJ
ejpam-5775	180	2	studies	study	NOUN
ejpam-5775	180	3	:	:	PUNCT
ejpam-5775	180	4	euro	euro	NOUN
ejpam-5775	180	5	-	-	PUNCT
ejpam-5775	180	6	tbilisi	tbilisi	ADJ
ejpam-5775	180	7	mathematical	mathematical	ADJ
ejpam-5775	180	8	journal	journal	PROPN
ejpam-5775	180	9	,	,	PUNCT
ejpam-5775	180	10	17(4):103–110	17(4):103–110	PROPN
ejpam-5775	180	11	,	,	PUNCT
ejpam-5775	180	12	2024	2024	NUM
ejpam-5775	180	13	.	.	PUNCT
ejpam-5775	181	1	[	[	X
ejpam-5775	181	2	8	8	NUM
ejpam-5775	181	3	]	]	PUNCT
ejpam-5775	181	4	cenap	cenap	NOUN
ejpam-5775	181	5	ozel	ozel	PROPN
ejpam-5775	181	6	,	,	PUNCT
ejpam-5775	181	7	hadeel	hadeel	PROPN
ejpam-5775	181	8	albeladi	albeladi	NOUN
ejpam-5775	181	9	,	,	PUNCT
ejpam-5775	181	10	and	and	CCONJ
ejpam-5775	181	11	patrick	patrick	PROPN
ejpam-5775	181	12	linker	linker	PROPN
ejpam-5775	181	13	.	.	PUNCT
ejpam-5775	182	1	tangleoids	tangleoid	NOUN
ejpam-5775	182	2	with	with	ADP
ejpam-5775	182	3	quantum	quantum	ADJ
ejpam-5775	182	4	field	field	NOUN
ejpam-5775	182	5	theories	theory	NOUN
ejpam-5775	182	6	in	in	ADP
ejpam-5775	182	7	biosystems	biosystem	NOUN
ejpam-5775	182	8	.	.	PUNCT
ejpam-5775	183	1	computational	computational	ADJ
ejpam-5775	183	2	and	and	CCONJ
ejpam-5775	183	3	mathematical	mathematical	ADJ
ejpam-5775	183	4	biophysics	biophysic	NOUN
ejpam-5775	183	5	,	,	PUNCT
ejpam-5775	183	6	12(1):20240007	12(1):20240007	NUM
ejpam-5775	183	7	,	,	PUNCT
ejpam-5775	183	8	2024	2024	NUM
ejpam-5775	183	9	.	.	PUNCT
ejpam-5775	184	1	[	[	X
ejpam-5775	184	2	9	9	NUM
ejpam-5775	184	3	]	]	X
ejpam-5775	184	4	vladimir	vladimir	PROPN
ejpam-5775	184	5	turaev	turaev	PROPN
ejpam-5775	184	6	.	.	PUNCT
ejpam-5775	185	1	knotoids	knotoids	PROPN
ejpam-5775	185	2	.	.	PUNCT
ejpam-5775	186	1	osaka	osaka	PROPN
ejpam-5775	186	2	journal	journal	PROPN
ejpam-5775	186	3	of	of	ADP
ejpam-5775	186	4	mathematics	mathematic	NOUN
ejpam-5775	186	5	,	,	PUNCT
ejpam-5775	186	6	49(1):195–223	49(1):195–223	PROPN
ejpam-5775	186	7	,	,	PUNCT
ejpam-5775	186	8	2012	2012	NUM
ejpam-5775	186	9	.	.	PUNCT