id	sid	tid	token	lemma	pos
ejpam-3368	1	1	dg	dg	PROPN
ejpam-3368	1	2	poisson	poisson	PROPN
ejpam-3368	1	3	adjoint	adjoint	PROPN
ejpam-3368	1	4	action	action	NOUN
ejpam-3368	1	5	and	and	CCONJ
ejpam-3368	1	6	its	its	PRON
ejpam-3368	1	7	application	application	NOUN
ejpam-3368	1	8	european	european	PROPN
ejpam-3368	1	9	journal	journal	PROPN
ejpam-3368	1	10	of	of	ADP
ejpam-3368	1	11	pure	pure	ADJ
ejpam-3368	1	12	and	and	CCONJ
ejpam-3368	1	13	applied	apply	VERB
ejpam-3368	1	14	mathematics	mathematic	NOUN
ejpam-3368	1	15	vol	vol	NOUN
ejpam-3368	1	16	.	.	PROPN
ejpam-3368	2	1	12	12	NUM
ejpam-3368	2	2	,	,	PUNCT
ejpam-3368	2	3	no	no	INTJ
ejpam-3368	2	4	.	.	NOUN
ejpam-3368	2	5	1	1	NUM
ejpam-3368	2	6	,	,	PUNCT
ejpam-3368	2	7	2019	2019	NUM
ejpam-3368	2	8	,	,	PUNCT
ejpam-3368	2	9	14	14	NUM
ejpam-3368	2	10	-	-	SYM
ejpam-3368	2	11	24	24	NUM
ejpam-3368	2	12	issn	issn	PROPN
ejpam-3368	2	13	1307	1307	NUM
ejpam-3368	2	14	-	-	SYM
ejpam-3368	2	15	5543	5543	NUM
ejpam-3368	2	16	–	–	PUNCT
ejpam-3368	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3368	2	18	published	publish	VERB
ejpam-3368	2	19	by	by	ADP
ejpam-3368	2	20	new	new	PROPN
ejpam-3368	2	21	york	york	PROPN
ejpam-3368	2	22	business	business	PROPN
ejpam-3368	2	23	global	global	PROPN
ejpam-3368	2	24	dg	dg	PROPN
ejpam-3368	2	25	poisson	poisson	PROPN
ejpam-3368	2	26	adjoint	adjoint	PROPN
ejpam-3368	2	27	action	action	NOUN
ejpam-3368	2	28	and	and	CCONJ
ejpam-3368	2	29	its	its	PRON
ejpam-3368	2	30	application	application	NOUN
ejpam-3368	2	31	xiaojie	xiaojie	PROPN
ejpam-3368	2	32	li1	li1	PROPN
ejpam-3368	2	33	,	,	PUNCT
ejpam-3368	2	34	xianguo	xianguo	PROPN
ejpam-3368	2	35	hu1	hu1	PROPN
ejpam-3368	2	36	,	,	PUNCT
ejpam-3368	2	37	jiafeng	jiafeng	NOUN
ejpam-3368	2	38	lü1	lü1	NOUN
ejpam-3368	2	39	,	,	PUNCT
ejpam-3368	2	40	xingting	xingte	VERB
ejpam-3368	2	41	wang2,∗	wang2,∗	PROPN
ejpam-3368	2	42	1	1	NUM
ejpam-3368	2	43	department	department	NOUN
ejpam-3368	2	44	of	of	ADP
ejpam-3368	2	45	mathematics	mathematic	NOUN
ejpam-3368	2	46	,	,	PUNCT
ejpam-3368	2	47	zhejiang	zhejiang	PROPN
ejpam-3368	2	48	normal	normal	PROPN
ejpam-3368	2	49	university	university	PROPN
ejpam-3368	2	50	,	,	PUNCT
ejpam-3368	2	51	jinhua	jinhua	PROPN
ejpam-3368	2	52	,	,	PUNCT
ejpam-3368	2	53	zhejiang	zhejiang	PROPN
ejpam-3368	2	54	,	,	PUNCT
ejpam-3368	2	55	321004	321004	NUM
ejpam-3368	2	56	p.r	p.r	PROPN
ejpam-3368	2	57	.	.	PROPN
ejpam-3368	2	58	china	china	PROPN
ejpam-3368	2	59	2	2	PROPN
ejpam-3368	2	60	department	department	NOUN
ejpam-3368	2	61	of	of	ADP
ejpam-3368	2	62	mathematics	mathematic	NOUN
ejpam-3368	2	63	,	,	PUNCT
ejpam-3368	2	64	howard	howard	PROPN
ejpam-3368	2	65	university	university	PROPN
ejpam-3368	2	66	,	,	PUNCT
ejpam-3368	2	67	washington	washington	PROPN
ejpam-3368	2	68	dc	dc	PROPN
ejpam-3368	2	69	,	,	PUNCT
ejpam-3368	2	70	20059	20059	NUM
ejpam-3368	2	71	,	,	PUNCT
ejpam-3368	2	72	usa	usa	PROPN
ejpam-3368	2	73	abstract	abstract	NOUN
ejpam-3368	2	74	.	.	PUNCT
ejpam-3368	3	1	in	in	ADP
ejpam-3368	3	2	this	this	DET
ejpam-3368	3	3	paper	paper	NOUN
ejpam-3368	3	4	,	,	PUNCT
ejpam-3368	3	5	the	the	DET
ejpam-3368	3	6	differential	differential	NOUN
ejpam-3368	3	7	graded	grade	VERB
ejpam-3368	3	8	(	(	PUNCT
ejpam-3368	3	9	dg	dg	NOUN
ejpam-3368	3	10	for	for	ADP
ejpam-3368	3	11	short	short	ADJ
ejpam-3368	3	12	)	)	PUNCT
ejpam-3368	3	13	poisson	poisson	PROPN
ejpam-3368	3	14	adjoint	adjoint	NOUN
ejpam-3368	3	15	action	action	NOUN
ejpam-3368	3	16	on	on	ADP
ejpam-3368	3	17	m	m	PROPN
ejpam-3368	3	18	is	be	AUX
ejpam-3368	3	19	introduced	introduce	VERB
ejpam-3368	3	20	,	,	PUNCT
ejpam-3368	3	21	wherem	wherem	PROPN
ejpam-3368	3	22	is	be	AUX
ejpam-3368	3	23	a	a	DET
ejpam-3368	3	24	dg	dg	NOUN
ejpam-3368	3	25	poisson	poisson	NOUN
ejpam-3368	3	26	module	module	NOUN
ejpam-3368	3	27	over	over	ADP
ejpam-3368	3	28	a	a	DET
ejpam-3368	3	29	dg	dg	NOUN
ejpam-3368	3	30	poisson	poisson	NOUN
ejpam-3368	3	31	hopf	hopf	PROPN
ejpam-3368	3	32	algebra	algebra	PROPN
ejpam-3368	3	33	a.	a.	NOUN
ejpam-3368	3	34	as	as	ADP
ejpam-3368	3	35	an	an	DET
ejpam-3368	3	36	application	application	NOUN
ejpam-3368	3	37	,	,	PUNCT
ejpam-3368	3	38	we	we	PRON
ejpam-3368	3	39	give	give	VERB
ejpam-3368	3	40	a	a	DET
ejpam-3368	3	41	new	new	ADJ
ejpam-3368	3	42	dg	dg	NOUN
ejpam-3368	3	43	poisson	poisson	NOUN
ejpam-3368	3	44	module	module	NOUN
ejpam-3368	3	45	structure	structure	NOUN
ejpam-3368	3	46	over	over	ADP
ejpam-3368	3	47	the	the	DET
ejpam-3368	3	48	dg	dg	PROPN
ejpam-3368	3	49	poisson	poisson	NOUN
ejpam-3368	3	50	hopf	hopf	PROPN
ejpam-3368	3	51	algebra	algebra	PROPN
ejpam-3368	3	52	a	a	PRON
ejpam-3368	3	53	,	,	PUNCT
ejpam-3368	3	54	which	which	PRON
ejpam-3368	3	55	depends	depend	VERB
ejpam-3368	3	56	heavily	heavily	ADV
ejpam-3368	3	57	on	on	ADP
ejpam-3368	3	58	the	the	DET
ejpam-3368	3	59	structure	structure	NOUN
ejpam-3368	3	60	of	of	ADP
ejpam-3368	3	61	a.	a.	NOUN
ejpam-3368	3	62	2010	2010	NUM
ejpam-3368	3	63	mathematics	mathematic	NOUN
ejpam-3368	3	64	subject	subject	NOUN
ejpam-3368	3	65	classifications	classification	NOUN
ejpam-3368	3	66	:	:	PUNCT
ejpam-3368	3	67	16e45	16e45	NUM
ejpam-3368	3	68	,	,	PUNCT
ejpam-3368	3	69	16s10	16s10	NUM
ejpam-3368	3	70	,	,	PUNCT
ejpam-3368	3	71	17b35	17b35	NUM
ejpam-3368	3	72	,	,	PUNCT
ejpam-3368	3	73	17b63	17b63	ADP
ejpam-3368	3	74	key	key	ADJ
ejpam-3368	3	75	words	word	NOUN
ejpam-3368	3	76	and	and	CCONJ
ejpam-3368	3	77	phrases	phrase	NOUN
ejpam-3368	3	78	:	:	PUNCT
ejpam-3368	3	79	differential	differential	NOUN
ejpam-3368	3	80	graded	grade	VERB
ejpam-3368	3	81	poisson	poisson	NOUN
ejpam-3368	3	82	hopf	hopf	PROPN
ejpam-3368	3	83	algebras	algebras	PROPN
ejpam-3368	3	84	,	,	PUNCT
ejpam-3368	3	85	differential	differential	NOUN
ejpam-3368	3	86	graded	grade	VERB
ejpam-3368	3	87	poisson	poisson	NOUN
ejpam-3368	3	88	modules	module	NOUN
ejpam-3368	3	89	,	,	PUNCT
ejpam-3368	3	90	the	the	DET
ejpam-3368	3	91	dg	dg	PROPN
ejpam-3368	3	92	poisson	poisson	PROPN
ejpam-3368	3	93	adjoint	adjoint	PROPN
ejpam-3368	3	94	action	action	NOUN
ejpam-3368	3	95	1	1	NUM
ejpam-3368	3	96	.	.	PUNCT
ejpam-3368	4	1	introduction	introduction	NOUN
ejpam-3368	4	2	the	the	DET
ejpam-3368	4	3	poisson	poisson	PROPN
ejpam-3368	4	4	bracket	bracket	NOUN
ejpam-3368	4	5	was	be	AUX
ejpam-3368	4	6	originally	originally	ADV
ejpam-3368	4	7	introduced	introduce	VERB
ejpam-3368	4	8	by	by	ADP
ejpam-3368	4	9	french	french	ADJ
ejpam-3368	4	10	mathematician	mathematician	NOUN
ejpam-3368	4	11	siméon	siméon	PROPN
ejpam-3368	4	12	denis	denis	PROPN
ejpam-3368	4	13	poisson	poisson	NOUN
ejpam-3368	4	14	in	in	ADP
ejpam-3368	4	15	search	search	NOUN
ejpam-3368	4	16	for	for	ADP
ejpam-3368	4	17	integrals	integral	NOUN
ejpam-3368	4	18	of	of	ADP
ejpam-3368	4	19	motion	motion	NOUN
ejpam-3368	4	20	in	in	ADP
ejpam-3368	4	21	hamiltonian	hamiltonian	ADJ
ejpam-3368	4	22	mechanics	mechanic	NOUN
ejpam-3368	4	23	.	.	PUNCT
ejpam-3368	5	1	recently	recently	ADV
ejpam-3368	5	2	,	,	PUNCT
ejpam-3368	5	3	different	different	ADJ
ejpam-3368	5	4	generalizations	generalization	NOUN
ejpam-3368	5	5	of	of	ADP
ejpam-3368	5	6	poisson	poisson	PROPN
ejpam-3368	5	7	algebras	algebra	NOUN
ejpam-3368	5	8	have	have	AUX
ejpam-3368	5	9	been	be	AUX
ejpam-3368	5	10	introduced	introduce	VERB
ejpam-3368	5	11	by	by	ADP
ejpam-3368	5	12	several	several	ADJ
ejpam-3368	5	13	people	people	NOUN
ejpam-3368	5	14	:	:	PUNCT
ejpam-3368	5	15	poisson	poisson	NOUN
ejpam-3368	5	16	orders	order	NOUN
ejpam-3368	5	17	[	[	X
ejpam-3368	5	18	1	1	NUM
ejpam-3368	5	19	]	]	PUNCT
ejpam-3368	5	20	,	,	PUNCT
ejpam-3368	5	21	noncommutative	noncommutative	PROPN
ejpam-3368	5	22	leibniz	leibniz	PROPN
ejpam-3368	5	23	-	-	PUNCT
ejpam-3368	5	24	poisson	poisson	NOUN
ejpam-3368	5	25	algebras	algebra	VERB
ejpam-3368	6	1	[	[	X
ejpam-3368	6	2	2	2	NUM
ejpam-3368	6	3	]	]	PUNCT
ejpam-3368	6	4	,	,	PUNCT
ejpam-3368	6	5	left	leave	VERB
ejpam-3368	6	6	-	-	PUNCT
ejpam-3368	6	7	right	right	NOUN
ejpam-3368	6	8	noncommutative	noncommutative	ADJ
ejpam-3368	6	9	poisson	poisson	NOUN
ejpam-3368	6	10	algebras	algebra	VERB
ejpam-3368	7	1	[	[	X
ejpam-3368	7	2	3	3	NUM
ejpam-3368	7	3	]	]	PUNCT
ejpam-3368	7	4	,	,	PUNCT
ejpam-3368	7	5	graded	grade	VERB
ejpam-3368	7	6	poisson	poisson	NOUN
ejpam-3368	7	7	algebras	algebra	NOUN
ejpam-3368	8	1	[	[	X
ejpam-3368	8	2	4	4	NUM
ejpam-3368	8	3	]	]	PUNCT
ejpam-3368	8	4	,	,	PUNCT
ejpam-3368	9	1	poisson	poisson	PROPN
ejpam-3368	9	2	ore	ore	NOUN
ejpam-3368	9	3	-	-	PUNCT
ejpam-3368	9	4	extensions	extension	NOUN
ejpam-3368	9	5	[	[	X
ejpam-3368	9	6	8	8	NUM
ejpam-3368	9	7	]	]	PUNCT
ejpam-3368	9	8	,	,	PUNCT
ejpam-3368	9	9	differential	differential	NOUN
ejpam-3368	9	10	graded	grade	VERB
ejpam-3368	9	11	poisson	poisson	NOUN
ejpam-3368	9	12	algebra	algebra	PROPN
ejpam-3368	9	13	[	[	X
ejpam-3368	9	14	9	9	NUM
ejpam-3368	9	15	]	]	PUNCT
ejpam-3368	9	16	,	,	PUNCT
ejpam-3368	9	17	poisson	poisson	PROPN
ejpam-3368	9	18	pi	pi	PROPN
ejpam-3368	9	19	algebras	algebras	X
ejpam-3368	10	1	[	[	X
ejpam-3368	10	2	12	12	NUM
ejpam-3368	10	3	]	]	PUNCT
ejpam-3368	10	4	,	,	PUNCT
ejpam-3368	10	5	double	double	ADJ
ejpam-3368	10	6	poisson	poisson	NOUN
ejpam-3368	10	7	algebras	algebra	NOUN
ejpam-3368	10	8	[	[	X
ejpam-3368	10	9	19	19	NUM
ejpam-3368	10	10	]	]	PUNCT
ejpam-3368	10	11	,	,	PUNCT
ejpam-3368	10	12	novikov	novikov	NOUN
ejpam-3368	10	13	-	-	PUNCT
ejpam-3368	10	14	poisson	poisson	NOUN
ejpam-3368	10	15	algebras	algebra	NOUN
ejpam-3368	11	1	[	[	X
ejpam-3368	11	2	20	20	NUM
ejpam-3368	11	3	]	]	PUNCT
ejpam-3368	11	4	and	and	CCONJ
ejpam-3368	11	5	quiver	quiver	NOUN
ejpam-3368	11	6	poisson	poisson	NOUN
ejpam-3368	11	7	algebras	algebra	VERB
ejpam-3368	12	1	[	[	X
ejpam-3368	12	2	22	22	NUM
ejpam-3368	12	3	]	]	PUNCT
ejpam-3368	12	4	,	,	PUNCT
ejpam-3368	12	5	etc	etc	X
ejpam-3368	12	6	.	.	X
ejpam-3368	13	1	one	one	NUM
ejpam-3368	13	2	of	of	ADP
ejpam-3368	13	3	the	the	DET
ejpam-3368	13	4	most	most	ADV
ejpam-3368	13	5	interesting	interesting	ADJ
ejpam-3368	13	6	features	feature	NOUN
ejpam-3368	13	7	in	in	ADP
ejpam-3368	13	8	this	this	DET
ejpam-3368	13	9	area	area	NOUN
ejpam-3368	13	10	is	be	AUX
ejpam-3368	13	11	the	the	DET
ejpam-3368	13	12	poisson	poisson	NOUN
ejpam-3368	13	13	universal	universal	ADJ
ejpam-3368	13	14	enveloping	enveloping	NOUN
ejpam-3368	13	15	algebra	algebra	NOUN
ejpam-3368	13	16	,	,	PUNCT
ejpam-3368	13	17	which	which	PRON
ejpam-3368	13	18	was	be	AUX
ejpam-3368	13	19	first	first	ADV
ejpam-3368	13	20	introduced	introduce	VERB
ejpam-3368	13	21	by	by	ADP
ejpam-3368	13	22	oh	oh	INTJ
ejpam-3368	13	23	[	[	X
ejpam-3368	13	24	13	13	NUM
ejpam-3368	13	25	]	]	PUNCT
ejpam-3368	13	26	in	in	ADP
ejpam-3368	13	27	order	order	NOUN
ejpam-3368	13	28	to	to	PART
ejpam-3368	13	29	describe	describe	VERB
ejpam-3368	13	30	the	the	DET
ejpam-3368	13	31	category	category	NOUN
ejpam-3368	13	32	of	of	ADP
ejpam-3368	13	33	poisson	poisson	NOUN
ejpam-3368	13	34	modules	module	NOUN
ejpam-3368	13	35	.	.	PUNCT
ejpam-3368	14	1	most	most	ADV
ejpam-3368	14	2	recently	recently	ADV
ejpam-3368	14	3	,	,	PUNCT
ejpam-3368	14	4	many	many	ADJ
ejpam-3368	14	5	people	people	NOUN
ejpam-3368	14	6	show	show	VERB
ejpam-3368	14	7	their	their	PRON
ejpam-3368	14	8	interests	interest	NOUN
ejpam-3368	14	9	in	in	ADP
ejpam-3368	14	10	poisson	poisson	PROPN
ejpam-3368	14	11	universal	universal	ADJ
ejpam-3368	14	12	enveloping	envelop	VERB
ejpam-3368	14	13	algebras	algebra	NOUN
ejpam-3368	15	1	[	[	X
ejpam-3368	15	2	8	8	NUM
ejpam-3368	15	3	,	,	PUNCT
ejpam-3368	15	4	10	10	NUM
ejpam-3368	15	5	,	,	PUNCT
ejpam-3368	15	6	16	16	NUM
ejpam-3368	15	7	,	,	PUNCT
ejpam-3368	15	8	18	18	NUM
ejpam-3368	15	9	,	,	PUNCT
ejpam-3368	15	10	21	21	NUM
ejpam-3368	15	11	]	]	PUNCT
ejpam-3368	15	12	.	.	PUNCT
ejpam-3368	16	1	in	in	ADP
ejpam-3368	16	2	particular	particular	ADJ
ejpam-3368	16	3	,	,	PUNCT
ejpam-3368	16	4	the	the	DET
ejpam-3368	16	5	second	second	ADJ
ejpam-3368	16	6	author	author	NOUN
ejpam-3368	16	7	of	of	ADP
ejpam-3368	16	8	the	the	DET
ejpam-3368	16	9	present	present	ADJ
ejpam-3368	16	10	paper	paper	NOUN
ejpam-3368	16	11	studied	study	VERB
ejpam-3368	16	12	the	the	DET
ejpam-3368	16	13	universal	universal	ADJ
ejpam-3368	16	14	enveloping	enveloping	NOUN
ejpam-3368	16	15	algebras	algebra	NOUN
ejpam-3368	16	16	of	of	ADP
ejpam-3368	16	17	dg	dg	PROPN
ejpam-3368	16	18	poisson	poisson	NOUN
ejpam-3368	16	19	algebras	algebra	NOUN
ejpam-3368	16	20	and	and	CCONJ
ejpam-3368	16	21	propose	propose	VERB
ejpam-3368	16	22	a	a	DET
ejpam-3368	16	23	definition	definition	NOUN
ejpam-3368	16	24	for	for	ADP
ejpam-3368	16	25	the	the	DET
ejpam-3368	16	26	dg	dg	PROPN
ejpam-3368	16	27	poisson	poisson	NOUN
ejpam-3368	16	28	module	module	NOUN
ejpam-3368	16	29	[	[	X
ejpam-3368	16	30	9	9	NUM
ejpam-3368	16	31	]	]	PUNCT
ejpam-3368	16	32	.	.	PUNCT
ejpam-3368	17	1	we	we	PRON
ejpam-3368	17	2	know	know	VERB
ejpam-3368	17	3	that	that	SCONJ
ejpam-3368	17	4	,	,	PUNCT
ejpam-3368	17	5	poisson	poisson	PROPN
ejpam-3368	17	6	hopf	hopf	PROPN
ejpam-3368	17	7	algebras	algebras	PROPN
ejpam-3368	17	8	arise	arise	VERB
ejpam-3368	17	9	naturally	naturally	ADV
ejpam-3368	17	10	in	in	ADP
ejpam-3368	17	11	poisson	poisson	PROPN
ejpam-3368	17	12	geometry	geometry	NOUN
ejpam-3368	17	13	and	and	CCONJ
ejpam-3368	17	14	quantum	quantum	NOUN
ejpam-3368	17	15	groups	group	NOUN
ejpam-3368	17	16	.	.	PUNCT
ejpam-3368	18	1	recently	recently	ADV
ejpam-3368	18	2	,	,	PUNCT
ejpam-3368	18	3	poisson	poisson	PROPN
ejpam-3368	18	4	hopf	hopf	PROPN
ejpam-3368	18	5	algebras	algebra	NOUN
ejpam-3368	18	6	are	be	AUX
ejpam-3368	18	7	studied	study	VERB
ejpam-3368	18	8	by	by	ADP
ejpam-3368	18	9	many	many	ADJ
ejpam-3368	18	10	authors	author	NOUN
ejpam-3368	18	11	from	from	ADP
ejpam-3368	18	12	different	different	ADJ
ejpam-3368	18	13	perspectives	perspective	NOUN
ejpam-3368	18	14	[	[	X
ejpam-3368	18	15	5	5	NUM
ejpam-3368	18	16	,	,	PUNCT
ejpam-3368	18	17	7	7	NUM
ejpam-3368	18	18	,	,	PUNCT
ejpam-3368	18	19	14	14	NUM
ejpam-3368	18	20	,	,	PUNCT
ejpam-3368	18	21	15	15	NUM
ejpam-3368	18	22	]	]	PUNCT
ejpam-3368	18	23	.	.	PUNCT
ejpam-3368	19	1	in	in	ADP
ejpam-3368	19	2	[	[	X
ejpam-3368	19	3	5	5	NUM
ejpam-3368	19	4	]	]	PUNCT
ejpam-3368	19	5	,	,	PUNCT
ejpam-3368	19	6	the	the	DET
ejpam-3368	19	7	authors	author	NOUN
ejpam-3368	19	8	developed	develop	VERB
ejpam-3368	19	9	the	the	DET
ejpam-3368	19	10	theory	theory	NOUN
ejpam-3368	19	11	of	of	ADP
ejpam-3368	19	12	poisson	poisson	PROPN
ejpam-3368	19	13	hopf	hopf	PROPN
ejpam-3368	19	14	algebras	algebra	NOUN
ejpam-3368	19	15	,	,	PUNCT
ejpam-3368	19	16	∗corresponding	∗corresponde	VERB
ejpam-3368	19	17	author	author	NOUN
ejpam-3368	19	18	.	.	PUNCT
ejpam-3368	20	1	doi	doi	NOUN
ejpam-3368	20	2	:	:	PUNCT
ejpam-3368	20	3	https://doi.org/10.29020/nybg.ejpam.v12i1.3368	https://doi.org/10.29020/nybg.ejpam.v12i1.3368	NOUN
ejpam-3368	20	4	email	email	NOUN
ejpam-3368	20	5	addresses	address	NOUN
ejpam-3368	20	6	:	:	PUNCT
ejpam-3368	20	7	jiafenglv@zjnu.edu.cn	jiafenglv@zjnu.edu.cn	NOUN
ejpam-3368	20	8	(	(	PUNCT
ejpam-3368	20	9	j.-f	j.-f	NOUN
ejpam-3368	20	10	.	.	PUNCT
ejpam-3368	21	1	lü	lü	X
ejpam-3368	21	2	)	)	PUNCT
ejpam-3368	21	3	,	,	PUNCT
ejpam-3368	22	1	2015210420@zjnu.edu.cn	2015210420@zjnu.edu.cn	NUM
ejpam-3368	22	2	(	(	PUNCT
ejpam-3368	22	3	x.-g	x.-g	PROPN
ejpam-3368	22	4	.	.	PUNCT
ejpam-3368	22	5	hu	hu	PROPN
ejpam-3368	22	6	)	)	PUNCT
ejpam-3368	22	7	,	,	PUNCT
ejpam-3368	22	8	407586291@qq.com	407586291@qq.com	NUM
ejpam-3368	22	9	(	(	PUNCT
ejpam-3368	22	10	x.-j	x.-j	PROPN
ejpam-3368	22	11	.	.	PUNCT
ejpam-3368	23	1	li	li	PROPN
ejpam-3368	23	2	)	)	PUNCT
ejpam-3368	23	3	,	,	PUNCT
ejpam-3368	23	4	xingting.wang@howard.edu	xingting.wang@howard.edu	PROPN
ejpam-3368	23	5	(	(	PUNCT
ejpam-3368	23	6	x.	x.	PROPN
ejpam-3368	23	7	wang	wang	PROPN
ejpam-3368	23	8	)	)	PUNCT
ejpam-3368	23	9	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3368	24	1	14	14	NUM
ejpam-3368	24	2	c	c	X
ejpam-3368	24	3	©	©	PROPN
ejpam-3368	24	4	2019	2019	NUM
ejpam-3368	24	5	ejpam	ejpam	NOUN
ejpam-3368	24	6	all	all	DET
ejpam-3368	24	7	rights	right	NOUN
ejpam-3368	24	8	reserved	reserve	VERB
ejpam-3368	24	9	.	.	PUNCT
ejpam-3368	25	1	x.-j	x.-j	PROPN
ejpam-3368	25	2	.	.	PUNCT
ejpam-3368	26	1	li	li	PROPN
ejpam-3368	26	2	,	,	PUNCT
ejpam-3368	26	3	x.-g	x.-g	PROPN
ejpam-3368	26	4	.	.	PUNCT
ejpam-3368	27	1	hu	hu	PROPN
ejpam-3368	27	2	,	,	PUNCT
ejpam-3368	27	3	j.-f	j.-f	NOUN
ejpam-3368	27	4	.	.	PUNCT
ejpam-3368	28	1	lü	lü	PUNCT
ejpam-3368	28	2	,	,	PUNCT
ejpam-3368	28	3	x.	x.	PROPN
ejpam-3368	28	4	wang	wang	PROPN
ejpam-3368	28	5	/	/	SYM
ejpam-3368	28	6	eur	eur	PROPN
ejpam-3368	28	7	.	.	PUNCT
ejpam-3368	29	1	j.	j.	PROPN
ejpam-3368	29	2	pure	pure	PROPN
ejpam-3368	29	3	appl	appl	PROPN
ejpam-3368	29	4	.	.	PROPN
ejpam-3368	29	5	math	math	PROPN
ejpam-3368	29	6	,	,	PUNCT
ejpam-3368	29	7	12	12	NUM
ejpam-3368	29	8	(	(	PUNCT
ejpam-3368	29	9	1	1	NUM
ejpam-3368	29	10	)	)	PUNCT
ejpam-3368	29	11	(	(	PUNCT
ejpam-3368	29	12	2019	2019	NUM
ejpam-3368	29	13	)	)	PUNCT
ejpam-3368	29	14	,	,	PUNCT
ejpam-3368	29	15	14	14	NUM
ejpam-3368	29	16	-	-	SYM
ejpam-3368	29	17	24	24	NUM
ejpam-3368	29	18	15	15	NUM
ejpam-3368	29	19	given	give	VERB
ejpam-3368	29	20	the	the	DET
ejpam-3368	29	21	definition	definition	NOUN
ejpam-3368	29	22	of	of	ADP
ejpam-3368	29	23	a	a	DET
ejpam-3368	29	24	dg	dg	NOUN
ejpam-3368	29	25	poisson	poisson	NOUN
ejpam-3368	29	26	hopf	hopf	PROPN
ejpam-3368	29	27	algebra	algebra	PROPN
ejpam-3368	29	28	a	a	PRON
ejpam-3368	29	29	,	,	PUNCT
ejpam-3368	29	30	and	and	CCONJ
ejpam-3368	29	31	discussed	discuss	VERB
ejpam-3368	29	32	the	the	DET
ejpam-3368	29	33	structures	structure	NOUN
ejpam-3368	29	34	for	for	ADP
ejpam-3368	29	35	the	the	DET
ejpam-3368	29	36	universal	universal	ADJ
ejpam-3368	29	37	enveloping	enveloping	NOUN
ejpam-3368	29	38	algebra	algebra	NOUN
ejpam-3368	29	39	of	of	ADP
ejpam-3368	29	40	a.	a.	NOUN
ejpam-3368	29	41	considering	consider	VERB
ejpam-3368	29	42	the	the	DET
ejpam-3368	29	43	importance	importance	NOUN
ejpam-3368	29	44	of	of	ADP
ejpam-3368	29	45	dg	dg	PROPN
ejpam-3368	29	46	poisson	poisson	PROPN
ejpam-3368	29	47	hopf	hopf	PROPN
ejpam-3368	29	48	algebras	algebras	PROPN
ejpam-3368	29	49	and	and	CCONJ
ejpam-3368	29	50	dg	dg	PRON
ejpam-3368	29	51	poisson	poisson	NOUN
ejpam-3368	29	52	modules	module	NOUN
ejpam-3368	29	53	,	,	PUNCT
ejpam-3368	29	54	our	our	PRON
ejpam-3368	29	55	aim	aim	NOUN
ejpam-3368	29	56	in	in	ADP
ejpam-3368	29	57	this	this	DET
ejpam-3368	29	58	paper	paper	NOUN
ejpam-3368	29	59	is	be	AUX
ejpam-3368	29	60	to	to	PART
ejpam-3368	29	61	study	study	VERB
ejpam-3368	29	62	the	the	DET
ejpam-3368	29	63	dg	dg	PROPN
ejpam-3368	29	64	poisson	poisson	PROPN
ejpam-3368	29	65	adjoint	adjoint	PROPN
ejpam-3368	29	66	action	action	NOUN
ejpam-3368	29	67	on	on	ADP
ejpam-3368	29	68	m	m	PROPN
ejpam-3368	29	69	,	,	PUNCT
ejpam-3368	29	70	where	where	SCONJ
ejpam-3368	29	71	m	m	NOUN
ejpam-3368	29	72	is	be	AUX
ejpam-3368	29	73	a	a	DET
ejpam-3368	29	74	dg	dg	NOUN
ejpam-3368	29	75	poisson	poisson	NOUN
ejpam-3368	29	76	modules	module	NOUN
ejpam-3368	29	77	over	over	ADP
ejpam-3368	29	78	a	a	DET
ejpam-3368	29	79	dg	dg	NOUN
ejpam-3368	29	80	poisson	poisson	NOUN
ejpam-3368	29	81	hopf	hopf	PROPN
ejpam-3368	29	82	algebras	algebras	PROPN
ejpam-3368	29	83	a.	a.	NOUN
ejpam-3368	29	84	furthermore	furthermore	ADV
ejpam-3368	29	85	,	,	PUNCT
ejpam-3368	29	86	according	accord	VERB
ejpam-3368	29	87	to	to	ADP
ejpam-3368	29	88	the	the	DET
ejpam-3368	29	89	dg	dg	PROPN
ejpam-3368	29	90	poisson	poisson	PROPN
ejpam-3368	29	91	adjoint	adjoint	PROPN
ejpam-3368	29	92	action	action	NOUN
ejpam-3368	29	93	on	on	ADP
ejpam-3368	29	94	m	m	PROPN
ejpam-3368	29	95	,	,	PUNCT
ejpam-3368	29	96	we	we	PRON
ejpam-3368	29	97	will	will	AUX
ejpam-3368	29	98	construct	construct	VERB
ejpam-3368	29	99	a	a	DET
ejpam-3368	29	100	new	new	ADJ
ejpam-3368	29	101	dg	dg	NOUN
ejpam-3368	29	102	poisson	poisson	NOUN
ejpam-3368	29	103	module	module	NOUN
ejpam-3368	29	104	structure	structure	NOUN
ejpam-3368	29	105	over	over	ADP
ejpam-3368	29	106	a	a	PRON
ejpam-3368	29	107	,	,	PUNCT
ejpam-3368	29	108	which	which	PRON
ejpam-3368	29	109	relies	rely	VERB
ejpam-3368	29	110	heavily	heavily	ADV
ejpam-3368	29	111	on	on	ADP
ejpam-3368	29	112	the	the	DET
ejpam-3368	29	113	structure	structure	NOUN
ejpam-3368	29	114	of	of	ADP
ejpam-3368	29	115	a.	a.	NOUN
ejpam-3368	29	116	the	the	DET
ejpam-3368	29	117	paper	paper	NOUN
ejpam-3368	29	118	is	be	AUX
ejpam-3368	29	119	organized	organize	VERB
ejpam-3368	29	120	as	as	SCONJ
ejpam-3368	29	121	follows	follow	VERB
ejpam-3368	29	122	.	.	PUNCT
ejpam-3368	30	1	in	in	ADP
ejpam-3368	30	2	section	section	NOUN
ejpam-3368	30	3	2	2	NUM
ejpam-3368	30	4	,	,	PUNCT
ejpam-3368	30	5	we	we	PRON
ejpam-3368	30	6	briefly	briefly	ADV
ejpam-3368	30	7	review	review	VERB
ejpam-3368	30	8	some	some	DET
ejpam-3368	30	9	basic	basic	ADJ
ejpam-3368	30	10	definitions	definition	NOUN
ejpam-3368	30	11	and	and	CCONJ
ejpam-3368	30	12	results	result	NOUN
ejpam-3368	30	13	related	relate	VERB
ejpam-3368	30	14	to	to	ADP
ejpam-3368	30	15	dg	dg	PROPN
ejpam-3368	30	16	poisson	poisson	PROPN
ejpam-3368	30	17	hopf	hopf	PROPN
ejpam-3368	30	18	algebras	algebras	PROPN
ejpam-3368	30	19	and	and	CCONJ
ejpam-3368	30	20	dg	dg	X
ejpam-3368	30	21	poisson	poisson	NOUN
ejpam-3368	30	22	modules	module	NOUN
ejpam-3368	30	23	over	over	ADP
ejpam-3368	30	24	dg	dg	PROPN
ejpam-3368	30	25	poisson	poisson	NOUN
ejpam-3368	30	26	algebras	algebras	PROPN
ejpam-3368	30	27	.	.	PUNCT
ejpam-3368	31	1	in	in	ADP
ejpam-3368	31	2	section	section	NOUN
ejpam-3368	31	3	3	3	NUM
ejpam-3368	31	4	,	,	PUNCT
ejpam-3368	31	5	we	we	PRON
ejpam-3368	31	6	first	first	ADV
ejpam-3368	31	7	propose	propose	VERB
ejpam-3368	31	8	a	a	DET
ejpam-3368	31	9	definition	definition	NOUN
ejpam-3368	31	10	for	for	ADP
ejpam-3368	31	11	the	the	DET
ejpam-3368	31	12	dg	dg	PROPN
ejpam-3368	31	13	poisson	poisson	PROPN
ejpam-3368	31	14	adjoint	adjoint	PROPN
ejpam-3368	31	15	action	action	NOUN
ejpam-3368	31	16	,	,	PUNCT
ejpam-3368	31	17	then	then	ADV
ejpam-3368	31	18	discuss	discuss	VERB
ejpam-3368	31	19	some	some	DET
ejpam-3368	31	20	basic	basic	ADJ
ejpam-3368	31	21	properties	property	NOUN
ejpam-3368	31	22	of	of	ADP
ejpam-3368	31	23	the	the	DET
ejpam-3368	31	24	dg	dg	PROPN
ejpam-3368	31	25	poisson	poisson	PROPN
ejpam-3368	31	26	adjoint	adjoint	PROPN
ejpam-3368	31	27	action	action	NOUN
ejpam-3368	31	28	.	.	PUNCT
ejpam-3368	32	1	as	as	ADP
ejpam-3368	32	2	an	an	DET
ejpam-3368	32	3	application	application	NOUN
ejpam-3368	32	4	,	,	PUNCT
ejpam-3368	32	5	we	we	PRON
ejpam-3368	32	6	construct	construct	VERB
ejpam-3368	32	7	a	a	DET
ejpam-3368	32	8	new	new	ADJ
ejpam-3368	32	9	dg	dg	NOUN
ejpam-3368	32	10	poisson	poisson	NOUN
ejpam-3368	32	11	module	module	NOUN
ejpam-3368	32	12	structure	structure	NOUN
ejpam-3368	32	13	over	over	ADP
ejpam-3368	32	14	a	a	DET
ejpam-3368	32	15	dg	dg	NOUN
ejpam-3368	32	16	poisson	poisson	NOUN
ejpam-3368	32	17	hopf	hopf	PROPN
ejpam-3368	32	18	algebra	algebra	VERB
ejpam-3368	32	19	a.	a.	NOUN
ejpam-3368	32	20	throughout	throughout	ADP
ejpam-3368	32	21	the	the	DET
ejpam-3368	32	22	whole	whole	ADJ
ejpam-3368	32	23	paper	paper	NOUN
ejpam-3368	32	24	,	,	PUNCT
ejpam-3368	32	25	z	z	PROPN
ejpam-3368	32	26	denotes	denote	VERB
ejpam-3368	32	27	the	the	DET
ejpam-3368	32	28	set	set	NOUN
ejpam-3368	32	29	of	of	ADP
ejpam-3368	32	30	integers	integer	NOUN
ejpam-3368	32	31	,	,	PUNCT
ejpam-3368	32	32	k	k	PROPN
ejpam-3368	32	33	denotes	denote	VERB
ejpam-3368	32	34	a	a	DET
ejpam-3368	32	35	base	base	NOUN
ejpam-3368	32	36	field	field	NOUN
ejpam-3368	32	37	of	of	ADP
ejpam-3368	32	38	characteristic	characteristic	ADJ
ejpam-3368	32	39	zero	zero	NUM
ejpam-3368	32	40	unless	unless	SCONJ
ejpam-3368	32	41	otherwise	otherwise	ADV
ejpam-3368	32	42	stated	state	VERB
ejpam-3368	32	43	,	,	PUNCT
ejpam-3368	32	44	and	and	CCONJ
ejpam-3368	32	45	all	all	PRON
ejpam-3368	32	46	(	(	PUNCT
ejpam-3368	32	47	graded	grade	VERB
ejpam-3368	32	48	)	)	PUNCT
ejpam-3368	32	49	algebras	algebra	NOUN
ejpam-3368	32	50	are	be	AUX
ejpam-3368	32	51	assumed	assume	VERB
ejpam-3368	32	52	to	to	PART
ejpam-3368	32	53	have	have	VERB
ejpam-3368	32	54	an	an	DET
ejpam-3368	32	55	identity	identity	NOUN
ejpam-3368	32	56	and	and	CCONJ
ejpam-3368	32	57	all	all	DET
ejpam-3368	32	58	(	(	PUNCT
ejpam-3368	32	59	graded	grade	VERB
ejpam-3368	32	60	)	)	PUNCT
ejpam-3368	32	61	modules	module	NOUN
ejpam-3368	32	62	are	be	AUX
ejpam-3368	32	63	assumed	assume	VERB
ejpam-3368	32	64	to	to	PART
ejpam-3368	32	65	be	be	AUX
ejpam-3368	32	66	unitary	unitary	ADJ
ejpam-3368	32	67	.	.	PUNCT
ejpam-3368	33	1	we	we	PRON
ejpam-3368	33	2	always	always	ADV
ejpam-3368	33	3	take	take	VERB
ejpam-3368	33	4	the	the	DET
ejpam-3368	33	5	grading	grading	NOUN
ejpam-3368	33	6	to	to	PART
ejpam-3368	33	7	be	be	AUX
ejpam-3368	33	8	z	z	NOUN
ejpam-3368	33	9	-	-	PUNCT
ejpam-3368	33	10	graded	grade	VERB
ejpam-3368	33	11	.	.	PUNCT
ejpam-3368	34	1	in	in	ADP
ejpam-3368	34	2	addition	addition	NOUN
ejpam-3368	34	3	,	,	PUNCT
ejpam-3368	34	4	let	let	VERB
ejpam-3368	34	5	v	v	NOUN
ejpam-3368	34	6	and	and	CCONJ
ejpam-3368	34	7	w	w	PROPN
ejpam-3368	34	8	be	be	AUX
ejpam-3368	34	9	graded	grade	VERB
ejpam-3368	34	10	vector	vector	NOUN
ejpam-3368	34	11	spaces	space	NOUN
ejpam-3368	34	12	,	,	PUNCT
ejpam-3368	34	13	the	the	DET
ejpam-3368	34	14	twisting	twisting	NOUN
ejpam-3368	34	15	map	map	NOUN
ejpam-3368	34	16	t	t	NOUN
ejpam-3368	34	17	:	:	PUNCT
ejpam-3368	35	1	v	v	NUM
ejpam-3368	35	2	⊗w	⊗w	NOUN
ejpam-3368	35	3	→w	→w	PROPN
ejpam-3368	36	1	⊗	⊗	PROPN
ejpam-3368	36	2	v	v	NOUN
ejpam-3368	36	3	is	be	AUX
ejpam-3368	36	4	defined	define	VERB
ejpam-3368	36	5	for	for	ADP
ejpam-3368	36	6	homogeneous	homogeneous	ADJ
ejpam-3368	36	7	elements	element	NOUN
ejpam-3368	36	8	v	v	ADP
ejpam-3368	36	9	∈	∈	PROPN
ejpam-3368	36	10	v	v	NOUN
ejpam-3368	36	11	and	and	CCONJ
ejpam-3368	36	12	w	w	NOUN
ejpam-3368	36	13	∈w	∈w	NOUN
ejpam-3368	36	14	by	by	ADP
ejpam-3368	36	15	t	t	PROPN
ejpam-3368	36	16	(	(	PUNCT
ejpam-3368	36	17	v	v	PROPN
ejpam-3368	36	18	⊗	⊗	PROPN
ejpam-3368	36	19	w	w	NOUN
ejpam-3368	36	20	)	)	PUNCT
ejpam-3368	36	21	=	=	SYM
ejpam-3368	36	22	(	(	PUNCT
ejpam-3368	36	23	−1)|v||w|w	−1)|v||w|w	PROPN
ejpam-3368	36	24	⊗	⊗	PROPN
ejpam-3368	36	25	v	v	NOUN
ejpam-3368	36	26	and	and	CCONJ
ejpam-3368	36	27	extends	extend	VERB
ejpam-3368	36	28	to	to	ADP
ejpam-3368	36	29	all	all	DET
ejpam-3368	36	30	elements	element	NOUN
ejpam-3368	36	31	of	of	ADP
ejpam-3368	36	32	v	v	NOUN
ejpam-3368	36	33	and	and	CCONJ
ejpam-3368	36	34	w	w	NOUN
ejpam-3368	36	35	through	through	ADP
ejpam-3368	36	36	linearity	linearity	NOUN
ejpam-3368	36	37	.	.	PUNCT
ejpam-3368	37	1	2	2	X
ejpam-3368	37	2	.	.	X
ejpam-3368	37	3	preliminaries	preliminary	NOUN
ejpam-3368	37	4	in	in	ADP
ejpam-3368	37	5	this	this	DET
ejpam-3368	37	6	section	section	NOUN
ejpam-3368	37	7	,	,	PUNCT
ejpam-3368	37	8	we	we	PRON
ejpam-3368	37	9	will	will	AUX
ejpam-3368	37	10	recall	recall	VERB
ejpam-3368	37	11	some	some	DET
ejpam-3368	37	12	definitions	definition	NOUN
ejpam-3368	37	13	and	and	CCONJ
ejpam-3368	37	14	properties	property	NOUN
ejpam-3368	37	15	of	of	ADP
ejpam-3368	37	16	dg	dg	NOUN
ejpam-3368	37	17	poisson	poisson	NOUN
ejpam-3368	37	18	hopf	hopf	PROPN
ejpam-3368	37	19	algebras	algebras	PROPN
ejpam-3368	37	20	and	and	CCONJ
ejpam-3368	37	21	dg	dg	PRON
ejpam-3368	37	22	poisson	poisson	NOUN
ejpam-3368	37	23	modules	module	NOUN
ejpam-3368	37	24	.	.	PUNCT
ejpam-3368	38	1	by	by	ADP
ejpam-3368	38	2	a	a	DET
ejpam-3368	38	3	graded	grade	VERB
ejpam-3368	38	4	algebra	algebra	NOUN
ejpam-3368	38	5	a	a	PRON
ejpam-3368	38	6	we	we	PRON
ejpam-3368	38	7	mean	mean	VERB
ejpam-3368	38	8	a	a	DET
ejpam-3368	38	9	z	z	NOUN
ejpam-3368	38	10	-	-	PUNCT
ejpam-3368	38	11	graded	grade	VERB
ejpam-3368	38	12	algebra	algebra	NOUN
ejpam-3368	38	13	(	(	PUNCT
ejpam-3368	38	14	a	a	PRON
ejpam-3368	38	15	,	,	PUNCT
ejpam-3368	38	16	u	u	NOUN
ejpam-3368	38	17	,	,	PUNCT
ejpam-3368	38	18	η	η	PROPN
ejpam-3368	38	19	)	)	PUNCT
ejpam-3368	38	20	,	,	PUNCT
ejpam-3368	38	21	where	where	SCONJ
ejpam-3368	38	22	u	u	NOUN
ejpam-3368	38	23	:	:	PUNCT
ejpam-3368	38	24	a	a	DET
ejpam-3368	38	25	⊗	⊗	PROPN
ejpam-3368	38	26	a	a	DET
ejpam-3368	38	27	→	→	SYM
ejpam-3368	38	28	a	a	PRON
ejpam-3368	38	29	and	and	CCONJ
ejpam-3368	38	30	η	η	PROPN
ejpam-3368	38	31	:	:	PUNCT
ejpam-3368	38	32	k	k	X
ejpam-3368	38	33	→	→	PUNCT
ejpam-3368	38	34	a	a	PRON
ejpam-3368	38	35	are	be	AUX
ejpam-3368	38	36	called	call	VERB
ejpam-3368	38	37	the	the	DET
ejpam-3368	38	38	multiplication	multiplication	NOUN
ejpam-3368	38	39	and	and	CCONJ
ejpam-3368	38	40	unit	unit	NOUN
ejpam-3368	38	41	of	of	ADP
ejpam-3368	38	42	a	a	PRON
ejpam-3368	38	43	,	,	PUNCT
ejpam-3368	38	44	respectively	respectively	ADV
ejpam-3368	38	45	.	.	PUNCT
ejpam-3368	39	1	for	for	ADP
ejpam-3368	39	2	convenience	convenience	NOUN
ejpam-3368	39	3	,	,	PUNCT
ejpam-3368	39	4	we	we	PRON
ejpam-3368	39	5	shall	shall	AUX
ejpam-3368	39	6	write	write	VERB
ejpam-3368	39	7	u(a⊗	u(a⊗	PROPN
ejpam-3368	39	8	b	b	PROPN
ejpam-3368	39	9	)	)	PUNCT
ejpam-3368	39	10	as	as	ADP
ejpam-3368	39	11	ab	ab	PROPN
ejpam-3368	39	12	,	,	PUNCT
ejpam-3368	39	13	∀a	∀a	PROPN
ejpam-3368	39	14	,	,	PUNCT
ejpam-3368	39	15	b	b	X
ejpam-3368	39	16	∈	∈	PROPN
ejpam-3368	39	17	a	a	PRON
ejpam-3368	39	18	,	,	PUNCT
ejpam-3368	39	19	whenever	whenever	SCONJ
ejpam-3368	39	20	this	this	PRON
ejpam-3368	39	21	does	do	AUX
ejpam-3368	39	22	not	not	PART
ejpam-3368	39	23	cause	cause	VERB
ejpam-3368	39	24	confusion	confusion	NOUN
ejpam-3368	39	25	.	.	PUNCT
ejpam-3368	40	1	recall	recall	VERB
ejpam-3368	40	2	that	that	SCONJ
ejpam-3368	40	3	a	a	DET
ejpam-3368	40	4	graded	grade	VERB
ejpam-3368	40	5	coalgebra	coalgebra	NOUN
ejpam-3368	40	6	c	c	NOUN
ejpam-3368	40	7	over	over	ADP
ejpam-3368	40	8	k	k	PROPN
ejpam-3368	40	9	is	be	AUX
ejpam-3368	40	10	a	a	DET
ejpam-3368	40	11	z	z	NOUN
ejpam-3368	40	12	-	-	PUNCT
ejpam-3368	40	13	graded	grade	VERB
ejpam-3368	40	14	vector	vector	NOUN
ejpam-3368	40	15	space	space	NOUN
ejpam-3368	40	16	with	with	ADP
ejpam-3368	40	17	the	the	DET
ejpam-3368	40	18	graded	grade	VERB
ejpam-3368	40	19	linear	linear	PROPN
ejpam-3368	40	20	maps	map	NOUN
ejpam-3368	40	21	∆	∆	PROPN
ejpam-3368	40	22	:	:	PUNCT
ejpam-3368	41	1	c	c	X
ejpam-3368	41	2	→	→	SYM
ejpam-3368	41	3	c	c	PROPN
ejpam-3368	41	4	⊗	⊗	PROPN
ejpam-3368	41	5	c	c	PROPN
ejpam-3368	41	6	and	and	CCONJ
ejpam-3368	41	7	ε	ε	PROPN
ejpam-3368	41	8	:	:	PUNCT
ejpam-3368	41	9	c	c	X
ejpam-3368	41	10	→	→	SYM
ejpam-3368	41	11	k	k	X
ejpam-3368	41	12	of	of	ADP
ejpam-3368	41	13	degree	degree	NOUN
ejpam-3368	41	14	0	0	PUNCT
ejpam-3368	41	15	such	such	ADJ
ejpam-3368	41	16	that	that	SCONJ
ejpam-3368	41	17	the	the	DET
ejpam-3368	41	18	obvious	obvious	ADJ
ejpam-3368	41	19	(	(	PUNCT
ejpam-3368	41	20	usual	usual	ADJ
ejpam-3368	41	21	)	)	PUNCT
ejpam-3368	41	22	diagrams	diagram	NOUN
ejpam-3368	41	23	commute	commute	NOUN
ejpam-3368	41	24	,	,	PUNCT
ejpam-3368	41	25	where	where	SCONJ
ejpam-3368	41	26	∆	∆	PROPN
ejpam-3368	41	27	and	and	CCONJ
ejpam-3368	41	28	ε	ε	PROPN
ejpam-3368	41	29	are	be	AUX
ejpam-3368	41	30	called	call	VERB
ejpam-3368	41	31	the	the	DET
ejpam-3368	41	32	comultiplication	comultiplication	NOUN
ejpam-3368	41	33	and	and	CCONJ
ejpam-3368	41	34	counit	counit	VERB
ejpam-3368	41	35	of	of	ADP
ejpam-3368	41	36	c	c	NOUN
ejpam-3368	41	37	,	,	PUNCT
ejpam-3368	41	38	respectively	respectively	ADV
ejpam-3368	41	39	.	.	PUNCT
ejpam-3368	42	1	for	for	ADP
ejpam-3368	42	2	any	any	DET
ejpam-3368	42	3	homogeneous	homogeneous	ADJ
ejpam-3368	42	4	element	element	NOUN
ejpam-3368	42	5	c	c	PROPN
ejpam-3368	42	6	∈	∈	PROPN
ejpam-3368	42	7	c	c	X
ejpam-3368	42	8	,	,	PUNCT
ejpam-3368	42	9	we	we	PRON
ejpam-3368	42	10	shall	shall	AUX
ejpam-3368	42	11	use	use	VERB
ejpam-3368	42	12	the	the	DET
ejpam-3368	42	13	sweedler	sweedler	NOUN
ejpam-3368	42	14	’s	’s	PART
ejpam-3368	42	15	notation	notation	NOUN
ejpam-3368	42	16	,	,	PUNCT
ejpam-3368	42	17	that	that	PRON
ejpam-3368	42	18	is	be	AUX
ejpam-3368	42	19	∆(c	∆(c	PROPN
ejpam-3368	42	20	)	)	PUNCT
ejpam-3368	42	21	=	=	PUNCT
ejpam-3368	42	22	∑	∑	PUNCT
ejpam-3368	42	23	(	(	PUNCT
ejpam-3368	42	24	c	c	NOUN
ejpam-3368	42	25	)	)	PUNCT
ejpam-3368	42	26	c(1)⊗	c(1)⊗	PROPN
ejpam-3368	42	27	c(2	c(2	PROPN
ejpam-3368	42	28	)	)	PUNCT
ejpam-3368	42	29	.	.	PUNCT
ejpam-3368	43	1	in	in	ADP
ejpam-3368	43	2	this	this	DET
ejpam-3368	43	3	notation	notation	NOUN
ejpam-3368	43	4	,	,	PUNCT
ejpam-3368	43	5	the	the	DET
ejpam-3368	43	6	comultiplication	comultiplication	NOUN
ejpam-3368	43	7	and	and	CCONJ
ejpam-3368	43	8	counit	counit	VERB
ejpam-3368	43	9	property	property	NOUN
ejpam-3368	43	10	may	may	AUX
ejpam-3368	43	11	be	be	AUX
ejpam-3368	43	12	expressed	express	VERB
ejpam-3368	43	13	as	as	ADP
ejpam-3368	43	14	(	(	PUNCT
ejpam-3368	43	15	∆⊗	∆⊗	PROPN
ejpam-3368	43	16	i)∆(c	i)∆(c	PROPN
ejpam-3368	43	17	)	)	PUNCT
ejpam-3368	43	18	=	=	PUNCT
ejpam-3368	44	1	(	(	PUNCT
ejpam-3368	44	2	i	i	PROPN
ejpam-3368	44	3	⊗∆)∆(c	⊗∆)∆(c	PROPN
ejpam-3368	44	4	)	)	PUNCT
ejpam-3368	44	5	=	=	PUNCT
ejpam-3368	44	6	∑	∑	PUNCT
ejpam-3368	44	7	(	(	PUNCT
ejpam-3368	44	8	c	c	NOUN
ejpam-3368	44	9	)	)	PUNCT
ejpam-3368	44	10	c(1	c(1	NOUN
ejpam-3368	44	11	)	)	PUNCT
ejpam-3368	44	12	⊗	⊗	PROPN
ejpam-3368	44	13	c(2	c(2	PROPN
ejpam-3368	44	14	)	)	PUNCT
ejpam-3368	44	15	⊗	⊗	PROPN
ejpam-3368	44	16	c(3	c(3	PROPN
ejpam-3368	44	17	)	)	PUNCT
ejpam-3368	44	18	,	,	PUNCT
ejpam-3368	44	19	c	c	X
ejpam-3368	44	20	=	=	PUNCT
ejpam-3368	44	21	∑	∑	PUNCT
ejpam-3368	44	22	(	(	PUNCT
ejpam-3368	44	23	c	c	NOUN
ejpam-3368	44	24	)	)	PUNCT
ejpam-3368	44	25	ε(c(1))c(2	ε(c(1))c(2	NOUN
ejpam-3368	44	26	)	)	PUNCT
ejpam-3368	44	27	=	=	PUNCT
ejpam-3368	44	28	∑	∑	PUNCT
ejpam-3368	44	29	(	(	PUNCT
ejpam-3368	44	30	c	c	NOUN
ejpam-3368	44	31	)	)	PUNCT
ejpam-3368	44	32	c(1)ε(c(2	c(1)ε(c(2	NOUN
ejpam-3368	44	33	)	)	PUNCT
ejpam-3368	44	34	)	)	PUNCT
ejpam-3368	44	35	for	for	ADP
ejpam-3368	44	36	any	any	DET
ejpam-3368	44	37	homogeneous	homogeneous	ADJ
ejpam-3368	44	38	elements	element	NOUN
ejpam-3368	44	39	c	c	X
ejpam-3368	44	40	∈	∈	PROPN
ejpam-3368	44	41	c	c	NOUN
ejpam-3368	44	42	,	,	PUNCT
ejpam-3368	44	43	respectively	respectively	ADV
ejpam-3368	44	44	.	.	PUNCT
ejpam-3368	45	1	let	let	VERB
ejpam-3368	45	2	h	h	PRON
ejpam-3368	45	3	be	be	AUX
ejpam-3368	45	4	a	a	DET
ejpam-3368	45	5	graded	grade	VERB
ejpam-3368	45	6	algebra	algebra	NOUN
ejpam-3368	45	7	with	with	ADP
ejpam-3368	45	8	multiplication	multiplication	NOUN
ejpam-3368	45	9	u	u	NOUN
ejpam-3368	45	10	and	and	CCONJ
ejpam-3368	45	11	unit	unit	NOUN
ejpam-3368	45	12	η	η	PROPN
ejpam-3368	45	13	,	,	PUNCT
ejpam-3368	45	14	and	and	CCONJ
ejpam-3368	45	15	at	at	ADP
ejpam-3368	45	16	the	the	DET
ejpam-3368	45	17	same	same	ADJ
ejpam-3368	45	18	time	time	NOUN
ejpam-3368	45	19	a	a	DET
ejpam-3368	45	20	graded	grade	VERB
ejpam-3368	45	21	coalgebra	coalgebra	NOUN
ejpam-3368	45	22	with	with	ADP
ejpam-3368	45	23	comultiplication	comultiplication	NOUN
ejpam-3368	45	24	∆	∆	PROPN
ejpam-3368	45	25	and	and	CCONJ
ejpam-3368	45	26	counit	counit	VERB
ejpam-3368	45	27	ε	ε	PROPN
ejpam-3368	45	28	.	.	PUNCT
ejpam-3368	46	1	if	if	SCONJ
ejpam-3368	46	2	∆	∆	PROPN
ejpam-3368	46	3	and	and	CCONJ
ejpam-3368	46	4	ε	ε	PROPN
ejpam-3368	46	5	are	be	AUX
ejpam-3368	46	6	graded	grade	VERB
ejpam-3368	46	7	algebra	algebra	PROPN
ejpam-3368	46	8	x.-j	x.-j	PROPN
ejpam-3368	46	9	.	.	PUNCT
ejpam-3368	47	1	li	li	PROPN
ejpam-3368	47	2	,	,	PUNCT
ejpam-3368	47	3	x.-g	x.-g	PROPN
ejpam-3368	47	4	.	.	PUNCT
ejpam-3368	48	1	hu	hu	PROPN
ejpam-3368	48	2	,	,	PUNCT
ejpam-3368	48	3	j.-f	j.-f	NOUN
ejpam-3368	48	4	.	.	PUNCT
ejpam-3368	49	1	lü	lü	PUNCT
ejpam-3368	49	2	,	,	PUNCT
ejpam-3368	49	3	x.	x.	PROPN
ejpam-3368	49	4	wang	wang	PROPN
ejpam-3368	49	5	/	/	SYM
ejpam-3368	49	6	eur	eur	PROPN
ejpam-3368	49	7	.	.	PUNCT
ejpam-3368	50	1	j.	j.	PROPN
ejpam-3368	50	2	pure	pure	PROPN
ejpam-3368	50	3	appl	appl	PROPN
ejpam-3368	50	4	.	.	PROPN
ejpam-3368	50	5	math	math	PROPN
ejpam-3368	50	6	,	,	PUNCT
ejpam-3368	50	7	12	12	NUM
ejpam-3368	50	8	(	(	PUNCT
ejpam-3368	50	9	1	1	NUM
ejpam-3368	50	10	)	)	PUNCT
ejpam-3368	50	11	(	(	PUNCT
ejpam-3368	50	12	2019	2019	NUM
ejpam-3368	50	13	)	)	PUNCT
ejpam-3368	50	14	,	,	PUNCT
ejpam-3368	50	15	14	14	NUM
ejpam-3368	50	16	-	-	SYM
ejpam-3368	50	17	24	24	NUM
ejpam-3368	50	18	16	16	NUM
ejpam-3368	50	19	homomorphisms	homomorphism	NOUN
ejpam-3368	50	20	,	,	PUNCT
ejpam-3368	50	21	then	then	ADV
ejpam-3368	50	22	h	h	PROPN
ejpam-3368	50	23	is	be	AUX
ejpam-3368	50	24	called	call	VERB
ejpam-3368	50	25	a	a	DET
ejpam-3368	50	26	graded	grade	VERB
ejpam-3368	50	27	bialgebra	bialgebra	NOUN
ejpam-3368	50	28	.	.	PUNCT
ejpam-3368	51	1	further	far	ADV
ejpam-3368	51	2	,	,	PUNCT
ejpam-3368	51	3	if	if	SCONJ
ejpam-3368	51	4	h	h	NOUN
ejpam-3368	51	5	admits	admit	VERB
ejpam-3368	51	6	a	a	DET
ejpam-3368	51	7	graded	grade	VERB
ejpam-3368	51	8	vector	vector	NOUN
ejpam-3368	51	9	space	space	NOUN
ejpam-3368	51	10	homomorphism	homomorphism	NOUN
ejpam-3368	51	11	s	s	X
ejpam-3368	51	12	:	:	PUNCT
ejpam-3368	51	13	h	h	NOUN
ejpam-3368	51	14	→	→	SYM
ejpam-3368	51	15	h	h	NOUN
ejpam-3368	51	16	of	of	ADP
ejpam-3368	51	17	degree	degree	NOUN
ejpam-3368	51	18	0	0	NUM
ejpam-3368	51	19	which	which	PRON
ejpam-3368	51	20	satisfies	satisfy	VERB
ejpam-3368	51	21	the	the	DET
ejpam-3368	51	22	following	follow	VERB
ejpam-3368	51	23	defining	define	VERB
ejpam-3368	51	24	relation	relation	NOUN
ejpam-3368	51	25	:	:	PUNCT
ejpam-3368	51	26	u	u	NOUN
ejpam-3368	51	27	◦	◦	NOUN
ejpam-3368	51	28	(	(	PUNCT
ejpam-3368	51	29	i	i	PROPN
ejpam-3368	51	30	⊗	⊗	PROPN
ejpam-3368	51	31	s	s	PART
ejpam-3368	51	32	)	)	PUNCT
ejpam-3368	51	33	◦	◦	NOUN
ejpam-3368	51	34	∆	∆	X
ejpam-3368	51	35	=	=	SYM
ejpam-3368	51	36	u	u	SYM
ejpam-3368	51	37	◦	◦	NOUN
ejpam-3368	51	38	(	(	PUNCT
ejpam-3368	51	39	s	s	VERB
ejpam-3368	51	40	⊗	⊗	PROPN
ejpam-3368	51	41	i	i	NOUN
ejpam-3368	51	42	)	)	PUNCT
ejpam-3368	51	43	◦	◦	NOUN
ejpam-3368	51	44	∆	∆	X
ejpam-3368	51	45	=	=	SYM
ejpam-3368	51	46	η	η	PROPN
ejpam-3368	51	47	◦	◦	PROPN
ejpam-3368	51	48	ε	ε	PROPN
ejpam-3368	51	49	.	.	PUNCT
ejpam-3368	52	1	then	then	ADV
ejpam-3368	52	2	h	h	PROPN
ejpam-3368	52	3	is	be	AUX
ejpam-3368	52	4	called	call	VERB
ejpam-3368	52	5	a	a	DET
ejpam-3368	52	6	graded	grade	VERB
ejpam-3368	52	7	hopf	hopf	ADJ
ejpam-3368	52	8	algebra	algebra	NOUN
ejpam-3368	52	9	,	,	PUNCT
ejpam-3368	52	10	and	and	CCONJ
ejpam-3368	52	11	s	s	VERB
ejpam-3368	52	12	is	be	AUX
ejpam-3368	52	13	called	call	VERB
ejpam-3368	52	14	the	the	DET
ejpam-3368	52	15	antipode	antipode	NOUN
ejpam-3368	52	16	of	of	ADP
ejpam-3368	52	17	h.	h.	NOUN
ejpam-3368	52	18	similarly	similarly	ADV
ejpam-3368	52	19	,	,	PUNCT
ejpam-3368	52	20	a	a	DET
ejpam-3368	52	21	graded	grade	VERB
ejpam-3368	52	22	poisson	poisson	NOUN
ejpam-3368	52	23	algebra	algebra	NOUN
ejpam-3368	52	24	can	can	AUX
ejpam-3368	52	25	be	be	AUX
ejpam-3368	52	26	defined	define	VERB
ejpam-3368	52	27	as	as	ADP
ejpam-3368	52	28	a	a	DET
ejpam-3368	52	29	graded	grade	VERB
ejpam-3368	52	30	algebra	algebra	NOUN
ejpam-3368	52	31	with	with	ADP
ejpam-3368	52	32	a	a	DET
ejpam-3368	52	33	compatible	compatible	ADJ
ejpam-3368	52	34	graded	grade	VERB
ejpam-3368	52	35	lie	lie	NOUN
ejpam-3368	52	36	structure	structure	NOUN
ejpam-3368	52	37	.	.	PUNCT
ejpam-3368	53	1	definition	definition	NOUN
ejpam-3368	53	2	1	1	NUM
ejpam-3368	53	3	.	.	PUNCT
ejpam-3368	54	1	[	[	X
ejpam-3368	54	2	4	4	X
ejpam-3368	54	3	]	]	X
ejpam-3368	54	4	let	let	VERB
ejpam-3368	54	5	(	(	PUNCT
ejpam-3368	54	6	a	a	PRON
ejpam-3368	54	7	,	,	PUNCT
ejpam-3368	54	8	·	·	PUNCT
ejpam-3368	54	9	)	)	PUNCT
ejpam-3368	54	10	be	be	AUX
ejpam-3368	54	11	a	a	DET
ejpam-3368	54	12	graded	grade	VERB
ejpam-3368	54	13	k	k	NOUN
ejpam-3368	54	14	-	-	NOUN
ejpam-3368	54	15	algebra	algebra	NOUN
ejpam-3368	54	16	.	.	PUNCT
ejpam-3368	55	1	if	if	SCONJ
ejpam-3368	55	2	there	there	PRON
ejpam-3368	55	3	is	be	VERB
ejpam-3368	55	4	a	a	DET
ejpam-3368	55	5	k	k	ADJ
ejpam-3368	55	6	-	-	PUNCT
ejpam-3368	55	7	linear	linear	ADJ
ejpam-3368	55	8	map	map	NOUN
ejpam-3368	55	9	{	{	PUNCT
ejpam-3368	55	10	·	·	PUNCT
ejpam-3368	55	11	,	,	PUNCT
ejpam-3368	55	12	·	·	PUNCT
ejpam-3368	55	13	}	}	PUNCT
ejpam-3368	55	14	:	:	PUNCT
ejpam-3368	55	15	a⊗a→	a⊗a→	PROPN
ejpam-3368	55	16	a	a	PRON
ejpam-3368	55	17	of	of	ADP
ejpam-3368	55	18	degree	degree	NOUN
ejpam-3368	55	19	0	0	NUM
ejpam-3368	55	20	such	such	ADJ
ejpam-3368	55	21	that	that	SCONJ
ejpam-3368	55	22	(	(	PUNCT
ejpam-3368	55	23	i	i	NOUN
ejpam-3368	55	24	)	)	PUNCT
ejpam-3368	55	25	(	(	PUNCT
ejpam-3368	55	26	a	a	PRON
ejpam-3368	55	27	,	,	PUNCT
ejpam-3368	55	28	{	{	PUNCT
ejpam-3368	55	29	·	·	PUNCT
ejpam-3368	55	30	,	,	PUNCT
ejpam-3368	55	31	·	·	PUNCT
ejpam-3368	55	32	}	}	PUNCT
ejpam-3368	55	33	)	)	PUNCT
ejpam-3368	55	34	is	be	AUX
ejpam-3368	55	35	a	a	DET
ejpam-3368	55	36	graded	grade	VERB
ejpam-3368	55	37	lie	lie	NOUN
ejpam-3368	55	38	algebra	algebra	NOUN
ejpam-3368	55	39	.	.	PUNCT
ejpam-3368	56	1	that	that	PRON
ejpam-3368	56	2	is	be	AUX
ejpam-3368	56	3	to	to	PART
ejpam-3368	56	4	say	say	VERB
ejpam-3368	56	5	,	,	PUNCT
ejpam-3368	56	6	we	we	PRON
ejpam-3368	56	7	have	have	VERB
ejpam-3368	56	8	(	(	PUNCT
ejpam-3368	56	9	ia	ia	PROPN
ejpam-3368	56	10	)	)	PUNCT
ejpam-3368	56	11	{	{	PUNCT
ejpam-3368	56	12	a	a	PROPN
ejpam-3368	56	13	,	,	PUNCT
ejpam-3368	56	14	b	b	NOUN
ejpam-3368	56	15	}	}	PUNCT
ejpam-3368	56	16	=	=	SYM
ejpam-3368	56	17	−(−1)|a||b|{b	−(−1)|a||b|{b	PROPN
ejpam-3368	56	18	,	,	PUNCT
ejpam-3368	56	19	a	a	PRON
ejpam-3368	56	20	}	}	PUNCT
ejpam-3368	56	21	;	;	PUNCT
ejpam-3368	56	22	(	(	PUNCT
ejpam-3368	56	23	ib	ib	NOUN
ejpam-3368	56	24	)	)	PUNCT
ejpam-3368	56	25	{	{	PUNCT
ejpam-3368	56	26	a	a	NOUN
ejpam-3368	56	27	,	,	PUNCT
ejpam-3368	56	28	{	{	PUNCT
ejpam-3368	56	29	b	b	NOUN
ejpam-3368	56	30	,	,	PUNCT
ejpam-3368	56	31	c	c	NOUN
ejpam-3368	56	32	}	}	PUNCT
ejpam-3368	56	33	}	}	PUNCT
ejpam-3368	56	34	=	=	SYM
ejpam-3368	56	35	{	{	PUNCT
ejpam-3368	56	36	{	{	PUNCT
ejpam-3368	56	37	a	a	PROPN
ejpam-3368	56	38	,	,	PUNCT
ejpam-3368	56	39	b	b	NOUN
ejpam-3368	56	40	}	}	PUNCT
ejpam-3368	56	41	,	,	PUNCT
ejpam-3368	56	42	c}+	c}+	NOUN
ejpam-3368	56	43	(	(	PUNCT
ejpam-3368	56	44	−1)|a||b|{b	−1)|a||b|{b	PROPN
ejpam-3368	56	45	,	,	PUNCT
ejpam-3368	56	46	{	{	PUNCT
ejpam-3368	56	47	a	a	PRON
ejpam-3368	56	48	,	,	PUNCT
ejpam-3368	56	49	c	c	NOUN
ejpam-3368	56	50	}	}	PUNCT
ejpam-3368	56	51	}	}	PUNCT
ejpam-3368	56	52	,	,	PUNCT
ejpam-3368	56	53	(	(	PUNCT
ejpam-3368	56	54	ii	ii	NOUN
ejpam-3368	56	55	)	)	PUNCT
ejpam-3368	56	56	(	(	PUNCT
ejpam-3368	56	57	graded	grade	VERB
ejpam-3368	56	58	commutativity	commutativity	NOUN
ejpam-3368	56	59	):	):	PUNCT
ejpam-3368	56	60	a	a	DET
ejpam-3368	56	61	·	·	PUNCT
ejpam-3368	56	62	b	b	X
ejpam-3368	56	63	=	=	SYM
ejpam-3368	56	64	(	(	PUNCT
ejpam-3368	56	65	−1)|a||b|b	−1)|a||b|b	NOUN
ejpam-3368	56	66	·	·	PUNCT
ejpam-3368	56	67	a	a	X
ejpam-3368	56	68	;	;	PUNCT
ejpam-3368	56	69	(	(	PUNCT
ejpam-3368	56	70	iii	iii	X
ejpam-3368	56	71	)	)	PUNCT
ejpam-3368	56	72	(	(	PUNCT
ejpam-3368	56	73	biderivation	biderivation	NOUN
ejpam-3368	56	74	property	property	NOUN
ejpam-3368	56	75	):	):	PUNCT
ejpam-3368	56	76	{	{	PUNCT
ejpam-3368	56	77	a	a	NOUN
ejpam-3368	56	78	,	,	PUNCT
ejpam-3368	56	79	b	b	PROPN
ejpam-3368	56	80	·	·	PUNCT
ejpam-3368	56	81	c	c	X
ejpam-3368	56	82	}	}	PUNCT
ejpam-3368	56	83	=	=	SYM
ejpam-3368	56	84	{	{	PUNCT
ejpam-3368	56	85	a	a	DET
ejpam-3368	56	86	,	,	PUNCT
ejpam-3368	56	87	b	b	NOUN
ejpam-3368	56	88	}	}	PUNCT
ejpam-3368	56	89	·	·	PUNCT
ejpam-3368	56	90	c+	c+	X
ejpam-3368	56	91	(	(	PUNCT
ejpam-3368	56	92	−1)|a||b|b	−1)|a||b|b	NOUN
ejpam-3368	56	93	·	·	PUNCT
ejpam-3368	56	94	{	{	PUNCT
ejpam-3368	56	95	a	a	X
ejpam-3368	56	96	,	,	PUNCT
ejpam-3368	56	97	c	c	NOUN
ejpam-3368	56	98	}	}	PUNCT
ejpam-3368	56	99	,	,	PUNCT
ejpam-3368	56	100	for	for	ADP
ejpam-3368	56	101	any	any	DET
ejpam-3368	56	102	homogeneous	homogeneous	ADJ
ejpam-3368	56	103	elements	element	NOUN
ejpam-3368	56	104	a	a	DET
ejpam-3368	56	105	,	,	PUNCT
ejpam-3368	56	106	b	b	NOUN
ejpam-3368	56	107	,	,	PUNCT
ejpam-3368	56	108	c	c	PROPN
ejpam-3368	56	109	∈	∈	PROPN
ejpam-3368	56	110	a	a	PRON
ejpam-3368	56	111	,	,	PUNCT
ejpam-3368	56	112	then	then	ADV
ejpam-3368	56	113	a	a	PRON
ejpam-3368	56	114	is	be	AUX
ejpam-3368	56	115	called	call	VERB
ejpam-3368	56	116	a	a	DET
ejpam-3368	56	117	graded	grade	VERB
ejpam-3368	56	118	poisson	poisson	NOUN
ejpam-3368	56	119	algebra	algebra	NOUN
ejpam-3368	56	120	.	.	PUNCT
ejpam-3368	57	1	definition	definition	NOUN
ejpam-3368	57	2	2	2	NUM
ejpam-3368	57	3	.	.	PUNCT
ejpam-3368	58	1	[	[	X
ejpam-3368	58	2	5	5	NUM
ejpam-3368	58	3	]	]	PUNCT
ejpam-3368	58	4	let	let	VERB
ejpam-3368	58	5	a	a	DET
ejpam-3368	58	6	be	be	AUX
ejpam-3368	58	7	a	a	DET
ejpam-3368	58	8	graded	grade	VERB
ejpam-3368	58	9	k	k	ADJ
ejpam-3368	58	10	-	-	ADJ
ejpam-3368	58	11	vector	vector	NOUN
ejpam-3368	58	12	space	space	NOUN
ejpam-3368	58	13	.	.	PUNCT
ejpam-3368	59	1	if	if	SCONJ
ejpam-3368	59	2	there	there	PRON
ejpam-3368	59	3	is	be	VERB
ejpam-3368	59	4	a	a	DET
ejpam-3368	59	5	k	k	ADJ
ejpam-3368	59	6	-	-	PUNCT
ejpam-3368	59	7	linear	linear	ADJ
ejpam-3368	59	8	map	map	NOUN
ejpam-3368	59	9	{	{	PUNCT
ejpam-3368	59	10	·	·	PUNCT
ejpam-3368	59	11	,	,	PUNCT
ejpam-3368	59	12	·	·	PUNCT
ejpam-3368	59	13	}	}	PUNCT
ejpam-3368	59	14	:	:	PUNCT
ejpam-3368	59	15	a⊗a→	a⊗a→	PROPN
ejpam-3368	59	16	a	a	PRON
ejpam-3368	59	17	of	of	ADP
ejpam-3368	59	18	degree	degree	NOUN
ejpam-3368	59	19	0	0	NUM
ejpam-3368	59	20	such	such	ADJ
ejpam-3368	59	21	that	that	SCONJ
ejpam-3368	59	22	:	:	PUNCT
ejpam-3368	59	23	(	(	PUNCT
ejpam-3368	59	24	i	i	NOUN
ejpam-3368	59	25	)	)	PUNCT
ejpam-3368	59	26	(	(	PUNCT
ejpam-3368	59	27	a	a	DET
ejpam-3368	59	28	,	,	PUNCT
ejpam-3368	59	29	u	u	NOUN
ejpam-3368	59	30	,	,	PUNCT
ejpam-3368	59	31	η	η	PROPN
ejpam-3368	59	32	,	,	PUNCT
ejpam-3368	59	33	{	{	PUNCT
ejpam-3368	59	34	·	·	PUNCT
ejpam-3368	59	35	,	,	PUNCT
ejpam-3368	59	36	·	·	PUNCT
ejpam-3368	59	37	}	}	PUNCT
ejpam-3368	59	38	)	)	PUNCT
ejpam-3368	59	39	is	be	AUX
ejpam-3368	59	40	a	a	DET
ejpam-3368	59	41	graded	grade	VERB
ejpam-3368	59	42	poisson	poisson	NOUN
ejpam-3368	59	43	algebra	algebra	NOUN
ejpam-3368	59	44	;	;	PUNCT
ejpam-3368	59	45	(	(	PUNCT
ejpam-3368	59	46	ii	ii	NOUN
ejpam-3368	59	47	)	)	PUNCT
ejpam-3368	59	48	(	(	PUNCT
ejpam-3368	59	49	a	a	PRON
ejpam-3368	59	50	,	,	PUNCT
ejpam-3368	59	51	u	u	NOUN
ejpam-3368	59	52	,	,	PUNCT
ejpam-3368	59	53	η,∆	η,∆	NUM
ejpam-3368	59	54	,	,	PUNCT
ejpam-3368	59	55	ε	ε	PROPN
ejpam-3368	59	56	)	)	PUNCT
ejpam-3368	59	57	is	be	AUX
ejpam-3368	59	58	a	a	DET
ejpam-3368	59	59	graded	grade	VERB
ejpam-3368	59	60	hopf	hopf	ADJ
ejpam-3368	59	61	algebra	algebra	NOUN
ejpam-3368	59	62	;	;	PUNCT
ejpam-3368	59	63	(	(	PUNCT
ejpam-3368	59	64	iii	iii	X
ejpam-3368	59	65	)	)	PUNCT
ejpam-3368	59	66	∆({a	∆({a	NOUN
ejpam-3368	59	67	,	,	PUNCT
ejpam-3368	59	68	b}a	b}a	ADJ
ejpam-3368	59	69	)	)	PUNCT
ejpam-3368	59	70	=	=	PRON
ejpam-3368	59	71	{	{	PUNCT
ejpam-3368	59	72	∆(a),∆(b)}a⊗a	∆(a),∆(b)}a⊗a	NOUN
ejpam-3368	59	73	for	for	ADP
ejpam-3368	59	74	all	all	DET
ejpam-3368	59	75	a	a	PRON
ejpam-3368	59	76	,	,	PUNCT
ejpam-3368	59	77	b	b	X
ejpam-3368	59	78	∈	∈	PROPN
ejpam-3368	59	79	a	a	PRON
ejpam-3368	59	80	,	,	PUNCT
ejpam-3368	59	81	where	where	SCONJ
ejpam-3368	59	82	the	the	DET
ejpam-3368	59	83	poisson	poisson	NOUN
ejpam-3368	59	84	bracket	bracket	NOUN
ejpam-3368	59	85	{	{	PUNCT
ejpam-3368	59	86	·	·	PUNCT
ejpam-3368	59	87	,	,	PUNCT
ejpam-3368	59	88	·	·	PUNCT
ejpam-3368	59	89	}	}	PUNCT
ejpam-3368	59	90	a⊗a	a⊗a	NOUN
ejpam-3368	59	91	on	on	ADP
ejpam-3368	59	92	a⊗a	a⊗a	NOUN
ejpam-3368	59	93	is	be	AUX
ejpam-3368	59	94	defined	define	VERB
ejpam-3368	59	95	by	by	ADP
ejpam-3368	59	96	{	{	PUNCT
ejpam-3368	59	97	a⊗	a⊗	PROPN
ejpam-3368	59	98	a′	a′	PROPN
ejpam-3368	59	99	,	,	PUNCT
ejpam-3368	59	100	b⊗	b⊗	NOUN
ejpam-3368	59	101	b′}a⊗a	b′}a⊗a	NOUN
ejpam-3368	59	102	=	=	PRON
ejpam-3368	59	103	(	(	PUNCT
ejpam-3368	59	104	−1)|a	−1)|a	X
ejpam-3368	59	105	′||b|({a	′||b|({a	PROPN
ejpam-3368	59	106	,	,	PUNCT
ejpam-3368	59	107	b	b	PROPN
ejpam-3368	59	108	}	}	PUNCT
ejpam-3368	59	109	⊗	⊗	NOUN
ejpam-3368	59	110	a′b′	a′b′	ADJ
ejpam-3368	59	111	+	+	CCONJ
ejpam-3368	59	112	ab⊗	ab⊗	X
ejpam-3368	59	113	{	{	PUNCT
ejpam-3368	59	114	a′	a′	PROPN
ejpam-3368	59	115	,	,	PUNCT
ejpam-3368	59	116	b′	b′	NUM
ejpam-3368	59	117	}	}	PUNCT
ejpam-3368	59	118	)	)	PUNCT
ejpam-3368	59	119	(	(	PUNCT
ejpam-3368	59	120	1	1	X
ejpam-3368	59	121	)	)	PUNCT
ejpam-3368	59	122	for	for	ADP
ejpam-3368	59	123	any	any	DET
ejpam-3368	59	124	homogeneous	homogeneous	ADJ
ejpam-3368	59	125	elements	element	NOUN
ejpam-3368	59	126	a	a	DET
ejpam-3368	59	127	,	,	PUNCT
ejpam-3368	59	128	b	b	NOUN
ejpam-3368	59	129	,	,	PUNCT
ejpam-3368	59	130	a′	a′	PROPN
ejpam-3368	59	131	,	,	PUNCT
ejpam-3368	59	132	b′	b′	NUM
ejpam-3368	59	133	∈	∈	NOUN
ejpam-3368	59	134	a.	a.	NOUN
ejpam-3368	59	135	then	then	ADV
ejpam-3368	59	136	a	a	PRON
ejpam-3368	59	137	is	be	AUX
ejpam-3368	59	138	called	call	VERB
ejpam-3368	59	139	a	a	DET
ejpam-3368	59	140	graded	grade	VERB
ejpam-3368	59	141	poisson	poisson	NOUN
ejpam-3368	59	142	hopf	hopf	VERB
ejpam-3368	59	143	algebra	algebra	PROPN
ejpam-3368	59	144	.	.	PUNCT
ejpam-3368	60	1	if	if	SCONJ
ejpam-3368	60	2	in	in	ADP
ejpam-3368	60	3	addition	addition	NOUN
ejpam-3368	60	4	,	,	PUNCT
ejpam-3368	60	5	there	there	PRON
ejpam-3368	60	6	is	be	VERB
ejpam-3368	60	7	a	a	DET
ejpam-3368	60	8	k	k	ADJ
ejpam-3368	60	9	-	-	ADJ
ejpam-3368	60	10	linear	linear	ADJ
ejpam-3368	60	11	homogeneous	homogeneous	ADJ
ejpam-3368	60	12	map	map	NOUN
ejpam-3368	61	1	d	d	X
ejpam-3368	61	2	:	:	PUNCT
ejpam-3368	61	3	a→	a→	PUNCT
ejpam-3368	61	4	a	a	PRON
ejpam-3368	61	5	of	of	ADP
ejpam-3368	61	6	degree	degree	NOUN
ejpam-3368	61	7	1	1	NUM
ejpam-3368	61	8	such	such	ADJ
ejpam-3368	61	9	that	that	DET
ejpam-3368	61	10	d2	d2	PROPN
ejpam-3368	61	11	=	=	SYM
ejpam-3368	61	12	0	0	PROPN
ejpam-3368	62	1	and	and	CCONJ
ejpam-3368	62	2	(	(	PUNCT
ejpam-3368	62	3	iva	iva	NOUN
ejpam-3368	62	4	)	)	PUNCT
ejpam-3368	62	5	d({a	d({a	PROPN
ejpam-3368	62	6	,	,	PUNCT
ejpam-3368	62	7	b	b	NOUN
ejpam-3368	62	8	}	}	PUNCT
ejpam-3368	62	9	)	)	PUNCT
ejpam-3368	62	10	=	=	SYM
ejpam-3368	62	11	{	{	PUNCT
ejpam-3368	62	12	d(a	d(a	PROPN
ejpam-3368	62	13	)	)	PUNCT
ejpam-3368	62	14	,	,	PUNCT
ejpam-3368	62	15	b}+	b}+	PROPN
ejpam-3368	62	16	(	(	PUNCT
ejpam-3368	62	17	−1)|a|{a	−1)|a|{a	PROPN
ejpam-3368	62	18	,	,	PUNCT
ejpam-3368	62	19	d(b	d(b	PROPN
ejpam-3368	62	20	)	)	PUNCT
ejpam-3368	62	21	}	}	PUNCT
ejpam-3368	62	22	;	;	PUNCT
ejpam-3368	62	23	(	(	PUNCT
ejpam-3368	62	24	ivb	ivb	NOUN
ejpam-3368	62	25	)	)	PUNCT
ejpam-3368	62	26	d(a	d(a	PROPN
ejpam-3368	62	27	·	·	PUNCT
ejpam-3368	62	28	b	b	X
ejpam-3368	62	29	)	)	PUNCT
ejpam-3368	62	30	=	=	SYM
ejpam-3368	62	31	d(a	d(a	PROPN
ejpam-3368	62	32	)	)	PUNCT
ejpam-3368	62	33	·	·	PUNCT
ejpam-3368	62	34	b+	b+	X
ejpam-3368	62	35	(	(	PUNCT
ejpam-3368	62	36	−1)|a|a	−1)|a|a	NOUN
ejpam-3368	62	37	·	·	PUNCT
ejpam-3368	62	38	d(b	d(b	NUM
ejpam-3368	62	39	)	)	PUNCT
ejpam-3368	62	40	;	;	PUNCT
ejpam-3368	62	41	x.-j	x.-j	PROPN
ejpam-3368	62	42	.	.	PUNCT
ejpam-3368	63	1	li	li	PROPN
ejpam-3368	63	2	,	,	PUNCT
ejpam-3368	63	3	x.-g	x.-g	PROPN
ejpam-3368	63	4	.	.	PUNCT
ejpam-3368	64	1	hu	hu	PROPN
ejpam-3368	64	2	,	,	PUNCT
ejpam-3368	64	3	j.-f	j.-f	NOUN
ejpam-3368	64	4	.	.	PUNCT
ejpam-3368	65	1	lü	lü	PUNCT
ejpam-3368	65	2	,	,	PUNCT
ejpam-3368	65	3	x.	x.	PROPN
ejpam-3368	65	4	wang	wang	PROPN
ejpam-3368	65	5	/	/	SYM
ejpam-3368	65	6	eur	eur	PROPN
ejpam-3368	65	7	.	.	PUNCT
ejpam-3368	66	1	j.	j.	PROPN
ejpam-3368	66	2	pure	pure	PROPN
ejpam-3368	66	3	appl	appl	PROPN
ejpam-3368	66	4	.	.	PROPN
ejpam-3368	66	5	math	math	PROPN
ejpam-3368	66	6	,	,	PUNCT
ejpam-3368	66	7	12	12	NUM
ejpam-3368	66	8	(	(	PUNCT
ejpam-3368	66	9	1	1	NUM
ejpam-3368	66	10	)	)	PUNCT
ejpam-3368	66	11	(	(	PUNCT
ejpam-3368	66	12	2019	2019	NUM
ejpam-3368	66	13	)	)	PUNCT
ejpam-3368	66	14	,	,	PUNCT
ejpam-3368	66	15	14	14	NUM
ejpam-3368	66	16	-	-	SYM
ejpam-3368	66	17	24	24	NUM
ejpam-3368	66	18	17	17	NUM
ejpam-3368	66	19	(	(	PUNCT
ejpam-3368	66	20	ivc	ivc	PROPN
ejpam-3368	66	21	)	)	PUNCT
ejpam-3368	66	22	ε	ε	PROPN
ejpam-3368	66	23	◦	◦	NOUN
ejpam-3368	66	24	d	d	X
ejpam-3368	66	25	=	=	SYM
ejpam-3368	66	26	0	0	NUM
ejpam-3368	66	27	and	and	CCONJ
ejpam-3368	66	28	∆d(a	∆d(a	NUM
ejpam-3368	66	29	)	)	PUNCT
ejpam-3368	67	1	=	=	PUNCT
ejpam-3368	67	2	∑	∑	PUNCT
ejpam-3368	67	3	(	(	PUNCT
ejpam-3368	67	4	a	a	NOUN
ejpam-3368	67	5	)	)	PUNCT
ejpam-3368	67	6	d(a(1	d(a(1	NOUN
ejpam-3368	67	7	)	)	PUNCT
ejpam-3368	67	8	)	)	PUNCT
ejpam-3368	68	1	⊗	⊗	PROPN
ejpam-3368	68	2	a(2	a(2	PROPN
ejpam-3368	68	3	)	)	PUNCT
ejpam-3368	69	1	+	+	CCONJ
ejpam-3368	69	2	∑	∑	PROPN
ejpam-3368	69	3	(	(	PUNCT
ejpam-3368	69	4	a)(−1)|a(1)|a(1	a)(−1)|a(1)|a(1	NOUN
ejpam-3368	69	5	)	)	PUNCT
ejpam-3368	69	6	⊗	⊗	PROPN
ejpam-3368	69	7	d(a(2	d(a(2	PROPN
ejpam-3368	69	8	)	)	PUNCT
ejpam-3368	69	9	)	)	PUNCT
ejpam-3368	69	10	,	,	PUNCT
ejpam-3368	69	11	where	where	SCONJ
ejpam-3368	69	12	∆(a	∆(a	NOUN
ejpam-3368	69	13	)	)	PUNCT
ejpam-3368	69	14	=	=	PUNCT
ejpam-3368	69	15	∑	∑	PUNCT
ejpam-3368	69	16	(	(	PUNCT
ejpam-3368	69	17	a	a	NOUN
ejpam-3368	69	18	)	)	PUNCT
ejpam-3368	69	19	a(1	a(1	ADJ
ejpam-3368	69	20	)	)	PUNCT
ejpam-3368	69	21	⊗	⊗	PROPN
ejpam-3368	69	22	a(2	a(2	PROPN
ejpam-3368	69	23	)	)	PUNCT
ejpam-3368	69	24	,	,	PUNCT
ejpam-3368	69	25	for	for	ADP
ejpam-3368	69	26	any	any	DET
ejpam-3368	69	27	homogeneous	homogeneous	ADJ
ejpam-3368	69	28	elements	element	NOUN
ejpam-3368	69	29	a	a	PRON
ejpam-3368	69	30	,	,	PUNCT
ejpam-3368	69	31	b	b	X
ejpam-3368	69	32	∈	∈	PROPN
ejpam-3368	69	33	a	a	PRON
ejpam-3368	69	34	,	,	PUNCT
ejpam-3368	69	35	then	then	ADV
ejpam-3368	69	36	a	a	PRON
ejpam-3368	69	37	is	be	AUX
ejpam-3368	69	38	called	call	VERB
ejpam-3368	69	39	a	a	DET
ejpam-3368	69	40	dg	dg	NOUN
ejpam-3368	69	41	poisson	poisson	NOUN
ejpam-3368	69	42	hopf	hopf	PROPN
ejpam-3368	69	43	algebra	algebra	PROPN
ejpam-3368	69	44	,	,	PUNCT
ejpam-3368	69	45	which	which	PRON
ejpam-3368	69	46	is	be	AUX
ejpam-3368	69	47	usually	usually	ADV
ejpam-3368	69	48	denoted	denote	VERB
ejpam-3368	69	49	by	by	ADP
ejpam-3368	69	50	(	(	PUNCT
ejpam-3368	69	51	a	a	DET
ejpam-3368	69	52	,	,	PUNCT
ejpam-3368	69	53	u	u	NOUN
ejpam-3368	69	54	,	,	PUNCT
ejpam-3368	69	55	η,∆	η,∆	NUM
ejpam-3368	69	56	,	,	PUNCT
ejpam-3368	69	57	ε	ε	PROPN
ejpam-3368	69	58	,	,	PUNCT
ejpam-3368	69	59	s	s	PROPN
ejpam-3368	69	60	,	,	PUNCT
ejpam-3368	69	61	{	{	PUNCT
ejpam-3368	69	62	·	·	PUNCT
ejpam-3368	69	63	,	,	PUNCT
ejpam-3368	69	64	·	·	PUNCT
ejpam-3368	69	65	}	}	PUNCT
ejpam-3368	69	66	,	,	PUNCT
ejpam-3368	69	67	d	d	NOUN
ejpam-3368	69	68	)	)	PUNCT
ejpam-3368	69	69	.	.	PUNCT
ejpam-3368	70	1	remark	remark	PROPN
ejpam-3368	70	2	1	1	NUM
ejpam-3368	70	3	.	.	PUNCT
ejpam-3368	71	1	by	by	ADP
ejpam-3368	71	2	the	the	DET
ejpam-3368	71	3	formula	formula	NOUN
ejpam-3368	71	4	(	(	PUNCT
ejpam-3368	71	5	2.1	2.1	NUM
ejpam-3368	71	6	)	)	PUNCT
ejpam-3368	71	7	and	and	CCONJ
ejpam-3368	71	8	∆({a	∆({a	NOUN
ejpam-3368	71	9	,	,	PUNCT
ejpam-3368	71	10	b}a	b}a	ADJ
ejpam-3368	71	11	)	)	PUNCT
ejpam-3368	71	12	=	=	PRON
ejpam-3368	71	13	{	{	PUNCT
ejpam-3368	71	14	∆(a),∆(b)}a⊗a	∆(a),∆(b)}a⊗a	NOUN
ejpam-3368	71	15	,	,	PUNCT
ejpam-3368	71	16	we	we	PRON
ejpam-3368	71	17	have	have	VERB
ejpam-3368	71	18	∆({a	∆({a	NUM
ejpam-3368	71	19	,	,	PUNCT
ejpam-3368	71	20	b	b	NOUN
ejpam-3368	71	21	}	}	PUNCT
ejpam-3368	71	22	)	)	PUNCT
ejpam-3368	72	1	=	=	SYM
ejpam-3368	72	2	∑	∑	PUNCT
ejpam-3368	72	3	(	(	PUNCT
ejpam-3368	72	4	a)(b	a)(b	ADJ
ejpam-3368	72	5	)	)	PUNCT
ejpam-3368	72	6	(	(	PUNCT
ejpam-3368	72	7	−1)|a(2)||b(1)|({a(1	−1)|a(2)||b(1)|({a(1	PROPN
ejpam-3368	72	8	)	)	PUNCT
ejpam-3368	72	9	,	,	PUNCT
ejpam-3368	72	10	b(1	b(1	PROPN
ejpam-3368	72	11	)	)	PUNCT
ejpam-3368	72	12	}	}	PUNCT
ejpam-3368	72	13	⊗	⊗	PROPN
ejpam-3368	72	14	a(2)b(2	a(2)b(2	PRON
ejpam-3368	72	15	)	)	PUNCT
ejpam-3368	73	1	+	+	NUM
ejpam-3368	73	2	a(1)b(1	a(1)b(1	PROPN
ejpam-3368	73	3	)	)	PUNCT
ejpam-3368	73	4	⊗	⊗	PROPN
ejpam-3368	73	5	{	{	PUNCT
ejpam-3368	73	6	a(2	a(2	PROPN
ejpam-3368	73	7	)	)	PUNCT
ejpam-3368	73	8	,	,	PUNCT
ejpam-3368	73	9	b(2	b(2	PROPN
ejpam-3368	73	10	)	)	PUNCT
ejpam-3368	73	11	}	}	PUNCT
ejpam-3368	73	12	)	)	PUNCT
ejpam-3368	73	13	for	for	ADP
ejpam-3368	73	14	all	all	DET
ejpam-3368	73	15	homogeneous	homogeneous	ADJ
ejpam-3368	73	16	elements	element	NOUN
ejpam-3368	73	17	a	a	PRON
ejpam-3368	73	18	,	,	PUNCT
ejpam-3368	73	19	b	b	PROPN
ejpam-3368	73	20	of	of	ADP
ejpam-3368	73	21	a	a	DET
ejpam-3368	73	22	dg	dg	NOUN
ejpam-3368	73	23	poisson	poisson	NOUN
ejpam-3368	73	24	hopf	hopf	PROPN
ejpam-3368	73	25	algebra	algebra	VERB
ejpam-3368	73	26	a.	a.	NOUN
ejpam-3368	73	27	if	if	SCONJ
ejpam-3368	73	28	a	a	PRON
ejpam-3368	73	29	is	be	AUX
ejpam-3368	73	30	just	just	ADV
ejpam-3368	73	31	a	a	DET
ejpam-3368	73	32	graded	grade	VERB
ejpam-3368	73	33	hopf	hopf	ADJ
ejpam-3368	73	34	algebra	algebra	NOUN
ejpam-3368	73	35	,	,	PUNCT
ejpam-3368	73	36	then	then	ADV
ejpam-3368	73	37	the	the	DET
ejpam-3368	73	38	antipode	antipode	NOUN
ejpam-3368	73	39	s	s	VERB
ejpam-3368	73	40	has	have	VERB
ejpam-3368	73	41	the	the	DET
ejpam-3368	73	42	following	follow	VERB
ejpam-3368	73	43	properties	property	NOUN
ejpam-3368	73	44	[	[	X
ejpam-3368	73	45	6	6	NUM
ejpam-3368	73	46	,	,	PUNCT
ejpam-3368	73	47	11	11	NUM
ejpam-3368	73	48	,	,	PUNCT
ejpam-3368	73	49	17	17	NUM
ejpam-3368	73	50	]	]	PUNCT
ejpam-3368	73	51	.	.	PUNCT
ejpam-3368	74	1	lemma	lemma	PROPN
ejpam-3368	74	2	1	1	X
ejpam-3368	74	3	.	.	PUNCT
ejpam-3368	75	1	let	let	VERB
ejpam-3368	75	2	a	a	DET
ejpam-3368	75	3	be	be	AUX
ejpam-3368	75	4	a	a	DET
ejpam-3368	75	5	graded	grade	VERB
ejpam-3368	75	6	hopf	hopf	ADJ
ejpam-3368	75	7	algebra	algebra	NOUN
ejpam-3368	75	8	and	and	CCONJ
ejpam-3368	75	9	s	s	VERB
ejpam-3368	75	10	its	its	PRON
ejpam-3368	75	11	antipode	antipode	NOUN
ejpam-3368	75	12	;	;	PUNCT
ejpam-3368	75	13	then	then	ADV
ejpam-3368	75	14	(	(	PUNCT
ejpam-3368	75	15	i	i	NOUN
ejpam-3368	75	16	)	)	PUNCT
ejpam-3368	75	17	s	s	VERB
ejpam-3368	75	18	◦	◦	NOUN
ejpam-3368	75	19	u	u	NOUN
ejpam-3368	76	1	=	=	SYM
ejpam-3368	76	2	u	u	NOUN
ejpam-3368	76	3	◦	◦	NOUN
ejpam-3368	76	4	t	t	X
ejpam-3368	76	5	◦	◦	NOUN
ejpam-3368	76	6	(	(	PUNCT
ejpam-3368	76	7	s	s	VERB
ejpam-3368	76	8	⊗	⊗	PROPN
ejpam-3368	76	9	s	s	PROPN
ejpam-3368	76	10	)	)	PUNCT
ejpam-3368	76	11	,	,	PUNCT
ejpam-3368	76	12	(	(	PUNCT
ejpam-3368	76	13	ii	ii	NOUN
ejpam-3368	76	14	)	)	PUNCT
ejpam-3368	76	15	s	s	PART
ejpam-3368	76	16	◦	◦	NOUN
ejpam-3368	76	17	η	η	PROPN
ejpam-3368	76	18	=	=	PROPN
ejpam-3368	76	19	η	η	PROPN
ejpam-3368	76	20	,	,	PUNCT
ejpam-3368	76	21	(	(	PUNCT
ejpam-3368	76	22	iii	iii	X
ejpam-3368	76	23	)	)	PUNCT
ejpam-3368	76	24	ε	ε	VERB
ejpam-3368	76	25	◦	◦	NOUN
ejpam-3368	76	26	s	s	PART
ejpam-3368	76	27	=	=	SYM
ejpam-3368	76	28	ε	ε	PROPN
ejpam-3368	76	29	,	,	PUNCT
ejpam-3368	76	30	(	(	PUNCT
ejpam-3368	76	31	iv	iv	X
ejpam-3368	76	32	)	)	PUNCT
ejpam-3368	76	33	t	t	NOUN
ejpam-3368	76	34	◦	◦	NOUN
ejpam-3368	76	35	(	(	PUNCT
ejpam-3368	76	36	s	s	VERB
ejpam-3368	76	37	⊗	⊗	PROPN
ejpam-3368	76	38	s	s	PART
ejpam-3368	76	39	)	)	PUNCT
ejpam-3368	76	40	◦	◦	NOUN
ejpam-3368	76	41	∆	∆	X
ejpam-3368	76	42	=	=	SYM
ejpam-3368	76	43	∆	∆	PUNCT
ejpam-3368	76	44	◦	◦	NOUN
ejpam-3368	76	45	s	s	SYM
ejpam-3368	76	46	,	,	PUNCT
ejpam-3368	76	47	(	(	PUNCT
ejpam-3368	76	48	v	v	NOUN
ejpam-3368	76	49	)	)	PUNCT
ejpam-3368	76	50	if	if	SCONJ
ejpam-3368	76	51	a	a	PRON
ejpam-3368	76	52	is	be	AUX
ejpam-3368	76	53	graded	grade	VERB
ejpam-3368	76	54	commutative	commutative	ADJ
ejpam-3368	76	55	or	or	CCONJ
ejpam-3368	76	56	graded	grade	VERB
ejpam-3368	76	57	cocommutative	cocommutative	ADJ
ejpam-3368	76	58	,	,	PUNCT
ejpam-3368	76	59	then	then	ADV
ejpam-3368	76	60	s	s	VERB
ejpam-3368	76	61	◦	◦	NOUN
ejpam-3368	76	62	s	s	PART
ejpam-3368	76	63	=	=	VERB
ejpam-3368	76	64	i	i	PROPN
ejpam-3368	76	65	,	,	PUNCT
ejpam-3368	76	66	where	where	SCONJ
ejpam-3368	76	67	i	i	PRON
ejpam-3368	76	68	:	:	PUNCT
ejpam-3368	76	69	a→	a→	PUNCT
ejpam-3368	76	70	a	a	PRON
ejpam-3368	76	71	is	be	AUX
ejpam-3368	76	72	the	the	DET
ejpam-3368	76	73	identity	identity	NOUN
ejpam-3368	76	74	morphism	morphism	NOUN
ejpam-3368	76	75	and	and	CCONJ
ejpam-3368	76	76	t	t	NOUN
ejpam-3368	76	77	:	:	PUNCT
ejpam-3368	76	78	a⊗a→	a⊗a→	PROPN
ejpam-3368	76	79	a⊗a	a⊗a	NOUN
ejpam-3368	76	80	is	be	AUX
ejpam-3368	76	81	the	the	DET
ejpam-3368	76	82	twisting	twisting	NOUN
ejpam-3368	76	83	morphism	morphism	NOUN
ejpam-3368	76	84	.	.	PUNCT
ejpam-3368	77	1	lemma	lemma	PROPN
ejpam-3368	77	2	2	2	NUM
ejpam-3368	77	3	.	.	PUNCT
ejpam-3368	78	1	[	[	X
ejpam-3368	78	2	5	5	X
ejpam-3368	78	3	]	]	PUNCT
ejpam-3368	78	4	if	if	SCONJ
ejpam-3368	78	5	(	(	PUNCT
ejpam-3368	78	6	a	a	DET
ejpam-3368	78	7	,	,	PUNCT
ejpam-3368	78	8	u	u	NOUN
ejpam-3368	78	9	,	,	PUNCT
ejpam-3368	78	10	η,∆	η,∆	NUM
ejpam-3368	78	11	,	,	PUNCT
ejpam-3368	78	12	ε	ε	PROPN
ejpam-3368	78	13	,	,	PUNCT
ejpam-3368	78	14	s	s	PROPN
ejpam-3368	78	15	,	,	PUNCT
ejpam-3368	78	16	{	{	PUNCT
ejpam-3368	78	17	·	·	PUNCT
ejpam-3368	78	18	,	,	PUNCT
ejpam-3368	78	19	·	·	PUNCT
ejpam-3368	78	20	}	}	PUNCT
ejpam-3368	78	21	,	,	PUNCT
ejpam-3368	78	22	d	d	X
ejpam-3368	78	23	)	)	PUNCT
ejpam-3368	78	24	is	be	AUX
ejpam-3368	78	25	a	a	DET
ejpam-3368	78	26	dg	dg	NOUN
ejpam-3368	78	27	poisson	poisson	NOUN
ejpam-3368	78	28	hopf	hopf	PROPN
ejpam-3368	78	29	algebra	algebra	PROPN
ejpam-3368	78	30	,	,	PUNCT
ejpam-3368	78	31	then	then	ADV
ejpam-3368	78	32	ds	ds	ADJ
ejpam-3368	78	33	=	=	PUNCT
ejpam-3368	78	34	sd	sd	NOUN
ejpam-3368	78	35	,	,	PUNCT
ejpam-3368	78	36	s({a	s({a	PROPN
ejpam-3368	78	37	,	,	PUNCT
ejpam-3368	78	38	b	b	NOUN
ejpam-3368	78	39	}	}	PUNCT
ejpam-3368	78	40	)	)	PUNCT
ejpam-3368	79	1	=	=	SYM
ejpam-3368	79	2	(	(	PUNCT
ejpam-3368	79	3	−1)|a||b|{s(b	−1)|a||b|{s(b	NUM
ejpam-3368	79	4	)	)	PUNCT
ejpam-3368	79	5	,	,	PUNCT
ejpam-3368	79	6	s(a	s(a	PROPN
ejpam-3368	79	7	)	)	PUNCT
ejpam-3368	79	8	}	}	PUNCT
ejpam-3368	79	9	and	and	CCONJ
ejpam-3368	79	10	ε({a	ε({a	PROPN
ejpam-3368	79	11	,	,	PUNCT
ejpam-3368	79	12	b	b	NOUN
ejpam-3368	79	13	}	}	PUNCT
ejpam-3368	79	14	)	)	PUNCT
ejpam-3368	80	1	=	=	SYM
ejpam-3368	80	2	0	0	NUM
ejpam-3368	80	3	for	for	ADP
ejpam-3368	80	4	all	all	DET
ejpam-3368	80	5	a	a	PRON
ejpam-3368	80	6	,	,	PUNCT
ejpam-3368	80	7	b	b	X
ejpam-3368	80	8	∈	∈	PROPN
ejpam-3368	80	9	a.	a.	NOUN
ejpam-3368	80	10	definition	definition	NOUN
ejpam-3368	80	11	3	3	NUM
ejpam-3368	80	12	.	.	PUNCT
ejpam-3368	81	1	[	[	X
ejpam-3368	81	2	9	9	NUM
ejpam-3368	81	3	]	]	X
ejpam-3368	81	4	let	let	VERB
ejpam-3368	81	5	(	(	PUNCT
ejpam-3368	81	6	a	a	PRON
ejpam-3368	81	7	,	,	PUNCT
ejpam-3368	81	8	·	·	PUNCT
ejpam-3368	81	9	,	,	PUNCT
ejpam-3368	81	10	{	{	PUNCT
ejpam-3368	81	11	·	·	PUNCT
ejpam-3368	81	12	,	,	PUNCT
ejpam-3368	81	13	·	·	PUNCT
ejpam-3368	81	14	}	}	PUNCT
ejpam-3368	81	15	a	a	PRON
ejpam-3368	81	16	,	,	PUNCT
ejpam-3368	81	17	d	d	NOUN
ejpam-3368	81	18	)	)	PUNCT
ejpam-3368	81	19	be	be	AUX
ejpam-3368	81	20	a	a	DET
ejpam-3368	81	21	dg	dg	NOUN
ejpam-3368	81	22	poisson	poisson	NOUN
ejpam-3368	81	23	algebra	algebra	PROPN
ejpam-3368	81	24	.	.	PUNCT
ejpam-3368	82	1	we	we	PRON
ejpam-3368	82	2	call	call	VERB
ejpam-3368	82	3	a	a	DET
ejpam-3368	82	4	z	z	NOUN
ejpam-3368	82	5	-	-	PUNCT
ejpam-3368	82	6	graded	grade	VERB
ejpam-3368	82	7	vector	vector	NOUN
ejpam-3368	82	8	space	space	NOUN
ejpam-3368	82	9	m	m	NOUN
ejpam-3368	82	10	=	=	SYM
ejpam-3368	82	11	⊕	⊕	PROPN
ejpam-3368	82	12	i∈z	i∈z	VERB
ejpam-3368	82	13	m	m	VERB
ejpam-3368	82	14	i	i	PRON
ejpam-3368	82	15	a	a	DET
ejpam-3368	82	16	left	leave	VERB
ejpam-3368	82	17	dg	dg	NOUN
ejpam-3368	82	18	poisson	poisson	NOUN
ejpam-3368	82	19	module	module	NOUN
ejpam-3368	82	20	over	over	ADP
ejpam-3368	82	21	a	a	DET
ejpam-3368	82	22	provided	provide	VERB
ejpam-3368	82	23	that	that	SCONJ
ejpam-3368	82	24	the	the	DET
ejpam-3368	82	25	following	follow	VERB
ejpam-3368	82	26	conditions	condition	NOUN
ejpam-3368	82	27	are	be	AUX
ejpam-3368	82	28	satisfied	satisfied	ADJ
ejpam-3368	82	29	:	:	PUNCT
ejpam-3368	82	30	(	(	PUNCT
ejpam-3368	82	31	i	i	NOUN
ejpam-3368	82	32	)	)	PUNCT
ejpam-3368	82	33	(	(	PUNCT
ejpam-3368	82	34	m	m	PROPN
ejpam-3368	82	35	,	,	PUNCT
ejpam-3368	82	36	·	·	PUNCT
ejpam-3368	82	37	,	,	PUNCT
ejpam-3368	82	38	∂	∂	NUM
ejpam-3368	82	39	)	)	PUNCT
ejpam-3368	82	40	is	be	AUX
ejpam-3368	82	41	a	a	DET
ejpam-3368	82	42	left	leave	VERB
ejpam-3368	82	43	dg	dg	NOUN
ejpam-3368	82	44	module	module	NOUN
ejpam-3368	82	45	over	over	ADP
ejpam-3368	82	46	the	the	DET
ejpam-3368	82	47	dg	dg	PROPN
ejpam-3368	82	48	algebra	algebra	PROPN
ejpam-3368	82	49	a.	a.	NOUN
ejpam-3368	82	50	equivalently	equivalently	ADV
ejpam-3368	82	51	,	,	PUNCT
ejpam-3368	82	52	(	(	PUNCT
ejpam-3368	82	53	ia	ia	NOUN
ejpam-3368	82	54	)	)	PUNCT
ejpam-3368	82	55	there	there	PRON
ejpam-3368	82	56	is	be	VERB
ejpam-3368	82	57	a	a	DET
ejpam-3368	82	58	k	k	ADJ
ejpam-3368	82	59	-	-	ADJ
ejpam-3368	82	60	bilinear	bilinear	ADJ
ejpam-3368	82	61	function	function	NOUN
ejpam-3368	82	62	−	−	PROPN
ejpam-3368	82	63	·	·	PUNCT
ejpam-3368	83	1	−	−	NOUN
ejpam-3368	83	2	:	:	PUNCT
ejpam-3368	83	3	a⊗m	a⊗m	X
ejpam-3368	83	4	→m	→m	PROPN
ejpam-3368	83	5	of	of	ADP
ejpam-3368	83	6	degree	degree	NOUN
ejpam-3368	83	7	0	0	NUM
ejpam-3368	83	8	such	such	ADJ
ejpam-3368	83	9	that	that	SCONJ
ejpam-3368	83	10	m	m	PROPN
ejpam-3368	83	11	is	be	AUX
ejpam-3368	83	12	a	a	DET
ejpam-3368	83	13	left	left	ADJ
ejpam-3368	83	14	graded	grade	VERB
ejpam-3368	83	15	module	module	NOUN
ejpam-3368	83	16	over	over	ADP
ejpam-3368	83	17	a	a	DET
ejpam-3368	83	18	,	,	PUNCT
ejpam-3368	83	19	i.e.	i.e.	X
ejpam-3368	83	20	,	,	PUNCT
ejpam-3368	83	21	ai	ai	VERB
ejpam-3368	83	22	·	·	PROPN
ejpam-3368	83	23	m	m	PROPN
ejpam-3368	83	24	j	j	PROPN
ejpam-3368	83	25	⊆m	⊆m	NOUN
ejpam-3368	83	26	i+j	i+j	NUM
ejpam-3368	83	27	for	for	ADP
ejpam-3368	83	28	all	all	DET
ejpam-3368	83	29	i	i	PROPN
ejpam-3368	83	30	,	,	PUNCT
ejpam-3368	83	31	j	j	PROPN
ejpam-3368	83	32	∈	∈	PROPN
ejpam-3368	83	33	z	z	PROPN
ejpam-3368	83	34	,	,	PUNCT
ejpam-3368	83	35	(	(	PUNCT
ejpam-3368	83	36	ib	ib	X
ejpam-3368	83	37	)	)	PUNCT
ejpam-3368	83	38	there	there	PRON
ejpam-3368	83	39	is	be	VERB
ejpam-3368	83	40	a	a	DET
ejpam-3368	83	41	k	k	ADJ
ejpam-3368	83	42	-	-	PUNCT
ejpam-3368	83	43	linear	linear	ADJ
ejpam-3368	83	44	map	map	NOUN
ejpam-3368	83	45	∂	∂	NOUN
ejpam-3368	83	46	:	:	PUNCT
ejpam-3368	83	47	m	m	VERB
ejpam-3368	83	48	→m	→m	PUNCT
ejpam-3368	83	49	of	of	ADP
ejpam-3368	83	50	degree	degree	NOUN
ejpam-3368	83	51	1	1	NUM
ejpam-3368	83	52	such	such	ADJ
ejpam-3368	83	53	that	that	DET
ejpam-3368	83	54	∂2	∂2	NOUN
ejpam-3368	83	55	=	=	SYM
ejpam-3368	83	56	0	0	PROPN
ejpam-3368	83	57	and	and	CCONJ
ejpam-3368	83	58	∂(a	∂(a	PROPN
ejpam-3368	83	59	·	·	PUNCT
ejpam-3368	83	60	m	m	PROPN
ejpam-3368	83	61	)	)	PUNCT
ejpam-3368	84	1	=	=	SYM
ejpam-3368	84	2	d(a	d(a	PROPN
ejpam-3368	84	3	)	)	PUNCT
ejpam-3368	84	4	·	·	PUNCT
ejpam-3368	84	5	m+	m+	NUM
ejpam-3368	84	6	(	(	PUNCT
ejpam-3368	84	7	−1)|a|a	−1)|a|a	NOUN
ejpam-3368	84	8	·	·	PUNCT
ejpam-3368	84	9	∂(m	∂(m	PROPN
ejpam-3368	84	10	)	)	PUNCT
ejpam-3368	84	11	for	for	ADP
ejpam-3368	84	12	all	all	DET
ejpam-3368	84	13	homogeneous	homogeneous	ADJ
ejpam-3368	84	14	elements	element	NOUN
ejpam-3368	84	15	a	a	DET
ejpam-3368	84	16	∈	∈	PROPN
ejpam-3368	84	17	a	a	DET
ejpam-3368	84	18	and	and	CCONJ
ejpam-3368	84	19	m	m	NOUN
ejpam-3368	84	20	∈m	∈m	NOUN
ejpam-3368	84	21	.	.	PUNCT
ejpam-3368	85	1	x.-j	x.-j	PROPN
ejpam-3368	85	2	.	.	PUNCT
ejpam-3368	86	1	li	li	PROPN
ejpam-3368	86	2	,	,	PUNCT
ejpam-3368	86	3	x.-g	x.-g	PROPN
ejpam-3368	86	4	.	.	PUNCT
ejpam-3368	87	1	hu	hu	PROPN
ejpam-3368	87	2	,	,	PUNCT
ejpam-3368	87	3	j.-f	j.-f	NOUN
ejpam-3368	87	4	.	.	PUNCT
ejpam-3368	88	1	lü	lü	PUNCT
ejpam-3368	88	2	,	,	PUNCT
ejpam-3368	88	3	x.	x.	PROPN
ejpam-3368	88	4	wang	wang	PROPN
ejpam-3368	88	5	/	/	SYM
ejpam-3368	88	6	eur	eur	PROPN
ejpam-3368	88	7	.	.	PUNCT
ejpam-3368	89	1	j.	j.	PROPN
ejpam-3368	89	2	pure	pure	PROPN
ejpam-3368	89	3	appl	appl	PROPN
ejpam-3368	89	4	.	.	PROPN
ejpam-3368	89	5	math	math	PROPN
ejpam-3368	89	6	,	,	PUNCT
ejpam-3368	89	7	12	12	NUM
ejpam-3368	89	8	(	(	PUNCT
ejpam-3368	89	9	1	1	NUM
ejpam-3368	89	10	)	)	PUNCT
ejpam-3368	89	11	(	(	PUNCT
ejpam-3368	89	12	2019	2019	NUM
ejpam-3368	89	13	)	)	PUNCT
ejpam-3368	89	14	,	,	PUNCT
ejpam-3368	89	15	14	14	NUM
ejpam-3368	89	16	-	-	SYM
ejpam-3368	89	17	24	24	NUM
ejpam-3368	89	18	18	18	NUM
ejpam-3368	89	19	(	(	PUNCT
ejpam-3368	89	20	ii	ii	NOUN
ejpam-3368	89	21	)	)	PUNCT
ejpam-3368	89	22	(	(	PUNCT
ejpam-3368	89	23	m	m	PROPN
ejpam-3368	89	24	,	,	PUNCT
ejpam-3368	89	25	·	·	PUNCT
ejpam-3368	89	26	,	,	PUNCT
ejpam-3368	89	27	{	{	PUNCT
ejpam-3368	89	28	·	·	PUNCT
ejpam-3368	89	29	,	,	PUNCT
ejpam-3368	89	30	·	·	PUNCT
ejpam-3368	89	31	}	}	PUNCT
ejpam-3368	89	32	)	)	PUNCT
ejpam-3368	89	33	is	be	AUX
ejpam-3368	89	34	a	a	DET
ejpam-3368	89	35	left	left	ADJ
ejpam-3368	89	36	z	z	NOUN
ejpam-3368	89	37	-	-	PUNCT
ejpam-3368	89	38	graded	grade	VERB
ejpam-3368	89	39	poisson	poisson	NOUN
ejpam-3368	89	40	module	module	NOUN
ejpam-3368	89	41	over	over	ADP
ejpam-3368	89	42	the	the	DET
ejpam-3368	89	43	graded	grade	VERB
ejpam-3368	89	44	poisson	poisson	NOUN
ejpam-3368	89	45	algebra	algebra	PROPN
ejpam-3368	89	46	a.	a.	NOUN
ejpam-3368	89	47	that	that	PRON
ejpam-3368	89	48	is	be	AUX
ejpam-3368	89	49	to	to	PART
ejpam-3368	89	50	say	say	VERB
ejpam-3368	89	51	,	,	PUNCT
ejpam-3368	89	52	there	there	PRON
ejpam-3368	89	53	is	be	VERB
ejpam-3368	89	54	another	another	DET
ejpam-3368	89	55	bilinear	bilinear	NOUN
ejpam-3368	89	56	bracket	bracket	NOUN
ejpam-3368	89	57	{	{	PUNCT
ejpam-3368	89	58	·	·	PUNCT
ejpam-3368	89	59	,	,	PUNCT
ejpam-3368	89	60	·	·	PUNCT
ejpam-3368	89	61	}	}	PUNCT
ejpam-3368	89	62	m	m	VERB
ejpam-3368	89	63	:	:	PUNCT
ejpam-3368	89	64	a	a	DET
ejpam-3368	89	65	⊗m	⊗m	PROPN
ejpam-3368	89	66	→	→	SYM
ejpam-3368	89	67	m	m	NOUN
ejpam-3368	89	68	of	of	ADP
ejpam-3368	89	69	degree	degree	NOUN
ejpam-3368	89	70	0	0	NUM
ejpam-3368	89	71	such	such	ADJ
ejpam-3368	90	1	that	that	SCONJ
ejpam-3368	90	2	(	(	PUNCT
ejpam-3368	90	3	iia	iia	PROPN
ejpam-3368	90	4	)	)	PUNCT
ejpam-3368	90	5	{	{	PUNCT
ejpam-3368	90	6	a	a	PROPN
ejpam-3368	90	7	,	,	PUNCT
ejpam-3368	90	8	b	b	NOUN
ejpam-3368	90	9	·	·	SYM
ejpam-3368	90	10	m}m	m}m	X
ejpam-3368	90	11	=	=	SYM
ejpam-3368	90	12	{	{	PUNCT
ejpam-3368	90	13	a	a	PRON
ejpam-3368	90	14	,	,	PUNCT
ejpam-3368	90	15	b}a	b}a	PROPN
ejpam-3368	90	16	·	·	SYM
ejpam-3368	90	17	m+	m+	NUM
ejpam-3368	90	18	(	(	PUNCT
ejpam-3368	90	19	−1)|a||b|b	−1)|a||b|b	NOUN
ejpam-3368	90	20	·	·	PUNCT
ejpam-3368	90	21	{	{	PUNCT
ejpam-3368	90	22	a	a	NOUN
ejpam-3368	90	23	,	,	PUNCT
ejpam-3368	90	24	m}m	m}m	NOUN
ejpam-3368	90	25	,	,	PUNCT
ejpam-3368	90	26	(	(	PUNCT
ejpam-3368	90	27	iib	iib	PROPN
ejpam-3368	90	28	)	)	PUNCT
ejpam-3368	90	29	{	{	PUNCT
ejpam-3368	90	30	a	a	DET
ejpam-3368	90	31	·	·	SYM
ejpam-3368	90	32	b	b	NOUN
ejpam-3368	90	33	,	,	PUNCT
ejpam-3368	90	34	m}m	m}m	NOUN
ejpam-3368	90	35	=	=	SYM
ejpam-3368	90	36	a	a	X
ejpam-3368	90	37	·	·	PUNCT
ejpam-3368	90	38	{	{	PUNCT
ejpam-3368	90	39	b	b	NOUN
ejpam-3368	90	40	,	,	PUNCT
ejpam-3368	90	41	m}m	m}m	X
ejpam-3368	90	42	+	+	CCONJ
ejpam-3368	90	43	(	(	PUNCT
ejpam-3368	90	44	−1)|a||b|b	−1)|a||b|b	NOUN
ejpam-3368	90	45	·	·	PUNCT
ejpam-3368	90	46	{	{	PUNCT
ejpam-3368	90	47	a	a	NOUN
ejpam-3368	90	48	,	,	PUNCT
ejpam-3368	90	49	m}m	m}m	NOUN
ejpam-3368	90	50	and	and	CCONJ
ejpam-3368	90	51	(	(	PUNCT
ejpam-3368	90	52	iic	iic	PROPN
ejpam-3368	90	53	)	)	PUNCT
ejpam-3368	90	54	{	{	PUNCT
ejpam-3368	90	55	a	a	PROPN
ejpam-3368	90	56	,	,	PUNCT
ejpam-3368	90	57	{	{	PUNCT
ejpam-3368	90	58	b	b	NOUN
ejpam-3368	90	59	,	,	PUNCT
ejpam-3368	90	60	m}m}m	m}m}m	NOUN
ejpam-3368	90	61	=	=	SYM
ejpam-3368	90	62	{	{	PUNCT
ejpam-3368	90	63	{	{	PUNCT
ejpam-3368	90	64	a	a	PRON
ejpam-3368	90	65	,	,	PUNCT
ejpam-3368	90	66	b}a	b}a	ADJ
ejpam-3368	90	67	,	,	PUNCT
ejpam-3368	90	68	m}m	m}m	X
ejpam-3368	90	69	+	+	CCONJ
ejpam-3368	90	70	(	(	PUNCT
ejpam-3368	90	71	−1)|a||b|{b	−1)|a||b|{b	PROPN
ejpam-3368	90	72	,	,	PUNCT
ejpam-3368	90	73	{	{	PUNCT
ejpam-3368	90	74	a	a	PRON
ejpam-3368	90	75	,	,	PUNCT
ejpam-3368	90	76	m}m}m	m}m}m	PROPN
ejpam-3368	90	77	for	for	ADP
ejpam-3368	90	78	all	all	DET
ejpam-3368	90	79	homogeneous	homogeneous	ADJ
ejpam-3368	90	80	elements	element	NOUN
ejpam-3368	90	81	a	a	PRON
ejpam-3368	90	82	,	,	PUNCT
ejpam-3368	90	83	b	b	X
ejpam-3368	90	84	∈	∈	PROPN
ejpam-3368	90	85	a	a	PRON
ejpam-3368	90	86	and	and	CCONJ
ejpam-3368	90	87	m	m	NOUN
ejpam-3368	90	88	∈m	∈m	NOUN
ejpam-3368	90	89	.	.	PUNCT
ejpam-3368	91	1	(	(	PUNCT
ejpam-3368	91	2	iii	iii	X
ejpam-3368	91	3	)	)	PUNCT
ejpam-3368	91	4	the	the	DET
ejpam-3368	91	5	linear	linear	PROPN
ejpam-3368	91	6	function	function	NOUN
ejpam-3368	91	7	∂	∂	NOUN
ejpam-3368	91	8	is	be	AUX
ejpam-3368	91	9	compatible	compatible	ADJ
ejpam-3368	91	10	with	with	ADP
ejpam-3368	91	11	the	the	DET
ejpam-3368	91	12	bracket	bracket	NOUN
ejpam-3368	91	13	{	{	PUNCT
ejpam-3368	91	14	−,−}m	−,−}m	PROPN
ejpam-3368	91	15	.	.	PUNCT
ejpam-3368	92	1	that	that	PRON
ejpam-3368	92	2	is	is	ADV
ejpam-3368	92	3	,	,	PUNCT
ejpam-3368	92	4	we	we	PRON
ejpam-3368	92	5	have	have	VERB
ejpam-3368	92	6	∂({a	∂({a	PROPN
ejpam-3368	92	7	,	,	PUNCT
ejpam-3368	92	8	m}m	m}m	NOUN
ejpam-3368	92	9	)	)	PUNCT
ejpam-3368	92	10	=	=	SYM
ejpam-3368	92	11	{	{	PUNCT
ejpam-3368	92	12	d(a),m}m	d(a),m}m	X
ejpam-3368	92	13	+	+	CCONJ
ejpam-3368	92	14	(	(	PUNCT
ejpam-3368	92	15	−1)|a|{a	−1)|a|{a	ADJ
ejpam-3368	92	16	,	,	PUNCT
ejpam-3368	92	17	∂(m)}m	∂(m)}m	NOUN
ejpam-3368	92	18	for	for	ADP
ejpam-3368	92	19	all	all	DET
ejpam-3368	92	20	homogeneous	homogeneous	ADJ
ejpam-3368	92	21	elements	element	NOUN
ejpam-3368	92	22	a	a	DET
ejpam-3368	92	23	∈	∈	PROPN
ejpam-3368	92	24	a	a	PRON
ejpam-3368	92	25	and	and	CCONJ
ejpam-3368	92	26	m	m	NOUN
ejpam-3368	92	27	∈m	∈m	NOUN
ejpam-3368	92	28	.	.	PUNCT
ejpam-3368	93	1	we	we	PRON
ejpam-3368	93	2	usually	usually	ADV
ejpam-3368	93	3	call	call	VERB
ejpam-3368	93	4	∂	∂	NUM
ejpam-3368	94	1	the	the	DET
ejpam-3368	94	2	differential	differential	NOUN
ejpam-3368	94	3	of	of	ADP
ejpam-3368	94	4	m	m	PRON
ejpam-3368	94	5	and	and	CCONJ
ejpam-3368	94	6	use	use	VERB
ejpam-3368	94	7	a	a	DET
ejpam-3368	94	8	quadruple	quadruple	NOUN
ejpam-3368	94	9	(	(	PUNCT
ejpam-3368	94	10	m	m	PROPN
ejpam-3368	94	11	,	,	PUNCT
ejpam-3368	94	12	·	·	PUNCT
ejpam-3368	94	13	,	,	PUNCT
ejpam-3368	94	14	{	{	PUNCT
ejpam-3368	94	15	·	·	PUNCT
ejpam-3368	94	16	,	,	PUNCT
ejpam-3368	94	17	·	·	PUNCT
ejpam-3368	94	18	}	}	PUNCT
ejpam-3368	94	19	m	m	PROPN
ejpam-3368	94	20	,	,	PUNCT
ejpam-3368	94	21	∂	∂	NUM
ejpam-3368	94	22	)	)	PUNCT
ejpam-3368	94	23	to	to	PART
ejpam-3368	94	24	denote	denote	VERB
ejpam-3368	94	25	a	a	DET
ejpam-3368	94	26	dg	dg	NOUN
ejpam-3368	94	27	poisson	poisson	NOUN
ejpam-3368	94	28	module	module	NOUN
ejpam-3368	94	29	.	.	PUNCT
ejpam-3368	95	1	3	3	X
ejpam-3368	95	2	.	.	X
ejpam-3368	95	3	dg	dg	PROPN
ejpam-3368	95	4	poisson	poisson	PROPN
ejpam-3368	95	5	adjoint	adjoint	PROPN
ejpam-3368	95	6	action	action	NOUN
ejpam-3368	95	7	and	and	CCONJ
ejpam-3368	95	8	its	its	PRON
ejpam-3368	95	9	application	application	NOUN
ejpam-3368	95	10	in	in	ADP
ejpam-3368	95	11	this	this	DET
ejpam-3368	95	12	section	section	NOUN
ejpam-3368	95	13	,	,	PUNCT
ejpam-3368	95	14	we	we	PRON
ejpam-3368	95	15	define	define	VERB
ejpam-3368	95	16	the	the	DET
ejpam-3368	95	17	dg	dg	PROPN
ejpam-3368	95	18	poisson	poisson	PROPN
ejpam-3368	95	19	adjoint	adjoint	PROPN
ejpam-3368	95	20	action	action	NOUN
ejpam-3368	95	21	,	,	PUNCT
ejpam-3368	95	22	and	and	CCONJ
ejpam-3368	95	23	construct	construct	VERB
ejpam-3368	95	24	a	a	DET
ejpam-3368	95	25	new	new	ADJ
ejpam-3368	95	26	dg	dg	NOUN
ejpam-3368	95	27	poisson	poisson	NOUN
ejpam-3368	95	28	module	module	NOUN
ejpam-3368	95	29	over	over	ADP
ejpam-3368	95	30	a	a	DET
ejpam-3368	95	31	dg	dg	NOUN
ejpam-3368	95	32	poisson	poisson	NOUN
ejpam-3368	95	33	hopf	hopf	PROPN
ejpam-3368	95	34	algebra	algebra	NOUN
ejpam-3368	95	35	a	a	PRON
ejpam-3368	95	36	by	by	ADP
ejpam-3368	95	37	studying	study	VERB
ejpam-3368	95	38	the	the	DET
ejpam-3368	95	39	dg	dg	PROPN
ejpam-3368	95	40	poisson	poisson	PROPN
ejpam-3368	95	41	adjoint	adjoint	PROPN
ejpam-3368	95	42	action	action	NOUN
ejpam-3368	95	43	,	,	PUNCT
ejpam-3368	95	44	which	which	PRON
ejpam-3368	95	45	will	will	AUX
ejpam-3368	95	46	take	take	VERB
ejpam-3368	95	47	advantage	advantage	NOUN
ejpam-3368	95	48	of	of	ADP
ejpam-3368	95	49	the	the	DET
ejpam-3368	95	50	structure	structure	NOUN
ejpam-3368	95	51	of	of	ADP
ejpam-3368	95	52	a	a	DET
ejpam-3368	95	53	dg	dg	NOUN
ejpam-3368	95	54	poisson	poisson	NOUN
ejpam-3368	95	55	hopf	hopf	PROPN
ejpam-3368	95	56	algebra	algebra	PROPN
ejpam-3368	95	57	.	.	PUNCT
ejpam-3368	96	1	we	we	PRON
ejpam-3368	96	2	begin	begin	VERB
ejpam-3368	96	3	with	with	ADP
ejpam-3368	96	4	the	the	DET
ejpam-3368	96	5	following	follow	VERB
ejpam-3368	96	6	definition	definition	NOUN
ejpam-3368	96	7	.	.	PUNCT
ejpam-3368	97	1	definition	definition	NOUN
ejpam-3368	97	2	4	4	NUM
ejpam-3368	97	3	.	.	PUNCT
ejpam-3368	98	1	let	let	VERB
ejpam-3368	98	2	m	m	PRON
ejpam-3368	98	3	be	be	AUX
ejpam-3368	98	4	a	a	DET
ejpam-3368	98	5	dg	dg	NOUN
ejpam-3368	98	6	poisson	poisson	NOUN
ejpam-3368	98	7	module	module	NOUN
ejpam-3368	98	8	over	over	ADP
ejpam-3368	98	9	a	a	DET
ejpam-3368	98	10	dg	dg	NOUN
ejpam-3368	98	11	poisson	poisson	NOUN
ejpam-3368	98	12	hopf	hopf	PROPN
ejpam-3368	98	13	algebra	algebra	PROPN
ejpam-3368	98	14	(	(	PUNCT
ejpam-3368	98	15	a	a	DET
ejpam-3368	98	16	,	,	PUNCT
ejpam-3368	98	17	u	u	NOUN
ejpam-3368	98	18	,	,	PUNCT
ejpam-3368	98	19	η,∆	η,∆	NUM
ejpam-3368	98	20	,	,	PUNCT
ejpam-3368	98	21	ε	ε	PROPN
ejpam-3368	98	22	,	,	PUNCT
ejpam-3368	98	23	s	s	PROPN
ejpam-3368	98	24	,	,	PUNCT
ejpam-3368	98	25	d	d	NOUN
ejpam-3368	98	26	)	)	PUNCT
ejpam-3368	98	27	.	.	PUNCT
ejpam-3368	99	1	then	then	ADV
ejpam-3368	99	2	the	the	DET
ejpam-3368	99	3	dg	dg	PROPN
ejpam-3368	99	4	poisson	poisson	PROPN
ejpam-3368	99	5	adjoint	adjoint	PROPN
ejpam-3368	99	6	action	action	NOUN
ejpam-3368	99	7	on	on	ADP
ejpam-3368	99	8	m	m	PROPN
ejpam-3368	99	9	is	be	AUX
ejpam-3368	99	10	defined	define	VERB
ejpam-3368	99	11	by	by	ADP
ejpam-3368	99	12	ada(z	ada(z	PROPN
ejpam-3368	99	13	)	)	PUNCT
ejpam-3368	99	14	=	=	PUNCT
ejpam-3368	99	15	∑	∑	PUNCT
ejpam-3368	99	16	(	(	PUNCT
ejpam-3368	99	17	a	a	NOUN
ejpam-3368	99	18	)	)	PUNCT
ejpam-3368	99	19	(	(	PUNCT
ejpam-3368	99	20	−1)|a(1)||a(2)|s(a(2)){a(1	−1)|a(1)||a(2)|s(a(2)){a(1	NOUN
ejpam-3368	99	21	)	)	PUNCT
ejpam-3368	99	22	,	,	PUNCT
ejpam-3368	99	23	z	z	NOUN
ejpam-3368	99	24	}	}	PUNCT
ejpam-3368	99	25	,	,	PUNCT
ejpam-3368	99	26	a	a	DET
ejpam-3368	99	27	∈	∈	PROPN
ejpam-3368	99	28	a	a	PRON
ejpam-3368	99	29	,	,	PUNCT
ejpam-3368	99	30	z	z	NOUN
ejpam-3368	99	31	∈m	∈m	NOUN
ejpam-3368	99	32	,	,	PUNCT
ejpam-3368	99	33	where	where	SCONJ
ejpam-3368	99	34	∆(a	∆(a	NOUN
ejpam-3368	99	35	)	)	PUNCT
ejpam-3368	99	36	=	=	NOUN
ejpam-3368	99	37	σ(a)a(1	σ(a)a(1	NOUN
ejpam-3368	99	38	)	)	PUNCT
ejpam-3368	100	1	⊗	⊗	PROPN
ejpam-3368	100	2	a(2	a(2	PROPN
ejpam-3368	100	3	)	)	PUNCT
ejpam-3368	100	4	there	there	PRON
ejpam-3368	100	5	exists	exist	VERB
ejpam-3368	100	6	a	a	DET
ejpam-3368	100	7	canonical	canonical	ADJ
ejpam-3368	100	8	dg	dg	NOUN
ejpam-3368	100	9	poisson	poisson	NOUN
ejpam-3368	100	10	adjoint	adjoint	PROPN
ejpam-3368	100	11	action	action	NOUN
ejpam-3368	100	12	on	on	ADP
ejpam-3368	100	13	a	a	DET
ejpam-3368	100	14	given	give	VERB
ejpam-3368	100	15	by	by	ADP
ejpam-3368	100	16	ada(z	ada(z	PROPN
ejpam-3368	100	17	)	)	PUNCT
ejpam-3368	100	18	=	=	PUNCT
ejpam-3368	100	19	∑	∑	PUNCT
ejpam-3368	100	20	(	(	PUNCT
ejpam-3368	100	21	a	a	NOUN
ejpam-3368	100	22	)	)	PUNCT
ejpam-3368	100	23	(	(	PUNCT
ejpam-3368	100	24	−1)|a(1)||a(2)|s(a(2)){a(1	−1)|a(1)||a(2)|s(a(2)){a(1	NOUN
ejpam-3368	100	25	)	)	PUNCT
ejpam-3368	100	26	,	,	PUNCT
ejpam-3368	100	27	z	z	NOUN
ejpam-3368	100	28	}	}	PUNCT
ejpam-3368	100	29	,	,	PUNCT
ejpam-3368	100	30	a	a	DET
ejpam-3368	100	31	,	,	PUNCT
ejpam-3368	100	32	z	z	PROPN
ejpam-3368	100	33	∈	∈	PROPN
ejpam-3368	100	34	a	a	PRON
ejpam-3368	100	35	,	,	PUNCT
ejpam-3368	100	36	since	since	SCONJ
ejpam-3368	100	37	a	a	PRON
ejpam-3368	100	38	is	be	AUX
ejpam-3368	100	39	a	a	DET
ejpam-3368	100	40	dg	dg	NOUN
ejpam-3368	100	41	poisson	poisson	NOUN
ejpam-3368	100	42	a	a	NOUN
ejpam-3368	100	43	-	-	PUNCT
ejpam-3368	100	44	module	module	NOUN
ejpam-3368	100	45	with	with	ADP
ejpam-3368	100	46	poisson	poisson	NOUN
ejpam-3368	100	47	module	module	NOUN
ejpam-3368	100	48	structure	structure	NOUN
ejpam-3368	100	49	{	{	PUNCT
ejpam-3368	100	50	a	a	DET
ejpam-3368	100	51	,	,	PUNCT
ejpam-3368	100	52	z}a	z}a	ADJ
ejpam-3368	100	53	and	and	CCONJ
ejpam-3368	100	54	az	az	PROPN
ejpam-3368	100	55	is	be	AUX
ejpam-3368	100	56	the	the	DET
ejpam-3368	100	57	multiplication	multiplication	NOUN
ejpam-3368	100	58	in	in	ADP
ejpam-3368	100	59	a	a	PRON
ejpam-3368	100	60	for	for	ADP
ejpam-3368	100	61	all	all	DET
ejpam-3368	100	62	a	a	PRON
ejpam-3368	100	63	,	,	PUNCT
ejpam-3368	100	64	z	z	PROPN
ejpam-3368	100	65	∈	∈	PROPN
ejpam-3368	100	66	a.	a.	NOUN
ejpam-3368	100	67	moreover	moreover	ADV
ejpam-3368	100	68	,	,	PUNCT
ejpam-3368	100	69	the	the	DET
ejpam-3368	100	70	canonical	canonical	ADJ
ejpam-3368	100	71	dg	dg	NOUN
ejpam-3368	100	72	poisson	poisson	NOUN
ejpam-3368	100	73	adjoint	adjoint	PROPN
ejpam-3368	100	74	action	action	NOUN
ejpam-3368	100	75	on	on	ADP
ejpam-3368	100	76	a	a	DET
ejpam-3368	100	77	satisfies	satisfie	NOUN
ejpam-3368	100	78	the	the	DET
ejpam-3368	100	79	following	follow	VERB
ejpam-3368	100	80	relation	relation	NOUN
ejpam-3368	100	81	:	:	PUNCT
ejpam-3368	100	82	ada(zy	ada(zy	X
ejpam-3368	100	83	)	)	PUNCT
ejpam-3368	100	84	=	=	SYM
ejpam-3368	100	85	ada(z	ada(z	PROPN
ejpam-3368	100	86	)	)	PUNCT
ejpam-3368	100	87	·	·	PUNCT
ejpam-3368	101	1	y	y	PROPN
ejpam-3368	101	2	+	+	PUNCT
ejpam-3368	101	3	(	(	PUNCT
ejpam-3368	101	4	−1)|a||z|z	−1)|a||z|z	PROPN
ejpam-3368	101	5	·	·	PUNCT
ejpam-3368	101	6	ada(y	ada(y	PROPN
ejpam-3368	101	7	)	)	PUNCT
ejpam-3368	101	8	,	,	PUNCT
ejpam-3368	101	9	a	a	PRON
ejpam-3368	101	10	,	,	PUNCT
ejpam-3368	101	11	z	z	NOUN
ejpam-3368	101	12	,	,	PUNCT
ejpam-3368	101	13	y	y	PROPN
ejpam-3368	101	14	∈	∈	PROPN
ejpam-3368	101	15	a.	a.	NOUN
ejpam-3368	101	16	in	in	ADP
ejpam-3368	101	17	particular	particular	ADJ
ejpam-3368	101	18	,	,	PUNCT
ejpam-3368	101	19	if	if	SCONJ
ejpam-3368	101	20	|a|	|a|	PROPN
ejpam-3368	101	21	=	=	SYM
ejpam-3368	101	22	1	1	NUM
ejpam-3368	101	23	,	,	PUNCT
ejpam-3368	101	24	then	then	ADV
ejpam-3368	101	25	the	the	DET
ejpam-3368	101	26	canonical	canonical	ADJ
ejpam-3368	101	27	dg	dg	PROPN
ejpam-3368	101	28	poisson	poisson	PROPN
ejpam-3368	101	29	adjoint	adjoint	PROPN
ejpam-3368	101	30	action	action	NOUN
ejpam-3368	101	31	is	be	AUX
ejpam-3368	101	32	a	a	DET
ejpam-3368	101	33	graded	grade	VERB
ejpam-3368	101	34	derivation	derivation	NOUN
ejpam-3368	101	35	on	on	ADP
ejpam-3368	101	36	a.	a.	PROPN
ejpam-3368	101	37	x.-j	x.-j	PROPN
ejpam-3368	101	38	.	.	PUNCT
ejpam-3368	102	1	li	li	PROPN
ejpam-3368	102	2	,	,	PUNCT
ejpam-3368	102	3	x.-g	x.-g	PROPN
ejpam-3368	102	4	.	.	PUNCT
ejpam-3368	103	1	hu	hu	PROPN
ejpam-3368	103	2	,	,	PUNCT
ejpam-3368	103	3	j.-f	j.-f	NOUN
ejpam-3368	103	4	.	.	PUNCT
ejpam-3368	104	1	lü	lü	PUNCT
ejpam-3368	104	2	,	,	PUNCT
ejpam-3368	104	3	x.	x.	PROPN
ejpam-3368	104	4	wang	wang	PROPN
ejpam-3368	104	5	/	/	SYM
ejpam-3368	104	6	eur	eur	PROPN
ejpam-3368	104	7	.	.	PUNCT
ejpam-3368	105	1	j.	j.	PROPN
ejpam-3368	105	2	pure	pure	PROPN
ejpam-3368	105	3	appl	appl	PROPN
ejpam-3368	105	4	.	.	PROPN
ejpam-3368	105	5	math	math	PROPN
ejpam-3368	105	6	,	,	PUNCT
ejpam-3368	105	7	12	12	NUM
ejpam-3368	105	8	(	(	PUNCT
ejpam-3368	105	9	1	1	NUM
ejpam-3368	105	10	)	)	PUNCT
ejpam-3368	105	11	(	(	PUNCT
ejpam-3368	105	12	2019	2019	NUM
ejpam-3368	105	13	)	)	PUNCT
ejpam-3368	105	14	,	,	PUNCT
ejpam-3368	105	15	14	14	NUM
ejpam-3368	105	16	-	-	SYM
ejpam-3368	105	17	24	24	NUM
ejpam-3368	105	18	19	19	NUM
ejpam-3368	105	19	lemma	lemma	PROPN
ejpam-3368	105	20	3	3	X
ejpam-3368	105	21	.	.	PUNCT
ejpam-3368	106	1	let	let	AUX
ejpam-3368	106	2	(	(	PUNCT
ejpam-3368	106	3	a	a	DET
ejpam-3368	106	4	,	,	PUNCT
ejpam-3368	106	5	u	u	NOUN
ejpam-3368	106	6	,	,	PUNCT
ejpam-3368	106	7	η,∆	η,∆	NUM
ejpam-3368	106	8	,	,	PUNCT
ejpam-3368	106	9	ε	ε	PROPN
ejpam-3368	106	10	,	,	PUNCT
ejpam-3368	106	11	s	s	PROPN
ejpam-3368	106	12	,	,	PUNCT
ejpam-3368	106	13	d	d	NOUN
ejpam-3368	106	14	)	)	PUNCT
ejpam-3368	106	15	be	be	AUX
ejpam-3368	106	16	a	a	DET
ejpam-3368	106	17	dg	dg	NOUN
ejpam-3368	106	18	poisson	poisson	NOUN
ejpam-3368	106	19	hopf	hopf	PROPN
ejpam-3368	106	20	algebra	algebra	NOUN
ejpam-3368	106	21	and	and	CCONJ
ejpam-3368	106	22	let	let	VERB
ejpam-3368	106	23	m	m	PRON
ejpam-3368	106	24	be	be	AUX
ejpam-3368	106	25	a	a	DET
ejpam-3368	106	26	dg	dg	NOUN
ejpam-3368	106	27	poisson	poisson	NOUN
ejpam-3368	106	28	a	a	NOUN
ejpam-3368	106	29	-	-	PUNCT
ejpam-3368	106	30	module	module	NOUN
ejpam-3368	106	31	.	.	PUNCT
ejpam-3368	107	1	then	then	ADV
ejpam-3368	107	2	ada(z	ada(z	PROPN
ejpam-3368	107	3	)	)	PUNCT
ejpam-3368	107	4	=	=	SYM
ejpam-3368	108	1	−	−	PROPN
ejpam-3368	108	2	∑	∑	INTJ
ejpam-3368	108	3	(	(	PUNCT
ejpam-3368	108	4	a	a	PRON
ejpam-3368	108	5	)	)	PUNCT
ejpam-3368	108	6	a(1){s(a(2	a(1){s(a(2	NOUN
ejpam-3368	108	7	)	)	PUNCT
ejpam-3368	108	8	)	)	PUNCT
ejpam-3368	108	9	,	,	PUNCT
ejpam-3368	109	1	z	z	X
ejpam-3368	109	2	}	}	PUNCT
ejpam-3368	109	3	,	,	PUNCT
ejpam-3368	109	4	where	where	SCONJ
ejpam-3368	109	5	a	a	DET
ejpam-3368	109	6	∈	∈	PROPN
ejpam-3368	109	7	a	a	PRON
ejpam-3368	109	8	and	and	CCONJ
ejpam-3368	109	9	z	z	NOUN
ejpam-3368	109	10	∈m	∈m	NOUN
ejpam-3368	109	11	.	.	PUNCT
ejpam-3368	110	1	proof	proof	NOUN
ejpam-3368	110	2	.	.	PUNCT
ejpam-3368	111	1	by	by	ADP
ejpam-3368	111	2	definition	definition	NOUN
ejpam-3368	111	3	3	3	NUM
ejpam-3368	111	4	,	,	PUNCT
ejpam-3368	111	5	it	it	PRON
ejpam-3368	111	6	is	be	AUX
ejpam-3368	111	7	easy	easy	ADJ
ejpam-3368	111	8	to	to	PART
ejpam-3368	111	9	see	see	VERB
ejpam-3368	111	10	that	that	SCONJ
ejpam-3368	111	11	{	{	PUNCT
ejpam-3368	111	12	1a	1a	NUM
ejpam-3368	111	13	,	,	PUNCT
ejpam-3368	111	14	z	z	NOUN
ejpam-3368	111	15	}	}	PUNCT
ejpam-3368	111	16	=	=	SYM
ejpam-3368	111	17	0	0	NUM
ejpam-3368	111	18	,	,	PUNCT
ejpam-3368	111	19	for	for	ADP
ejpam-3368	111	20	any	any	DET
ejpam-3368	111	21	homogeneous	homogeneous	ADJ
ejpam-3368	111	22	element	element	NOUN
ejpam-3368	111	23	z	z	NOUN
ejpam-3368	111	24	∈m	∈m	NOUN
ejpam-3368	111	25	.	.	PUNCT
ejpam-3368	112	1	then	then	ADV
ejpam-3368	112	2	for	for	ADP
ejpam-3368	112	3	any	any	DET
ejpam-3368	112	4	homogeneous	homogeneous	ADJ
ejpam-3368	112	5	elements	element	NOUN
ejpam-3368	112	6	a	a	DET
ejpam-3368	112	7	∈	∈	PROPN
ejpam-3368	112	8	a	a	PRON
ejpam-3368	112	9	,	,	PUNCT
ejpam-3368	112	10	z	z	NOUN
ejpam-3368	112	11	∈m	∈m	NOUN
ejpam-3368	112	12	,	,	PUNCT
ejpam-3368	112	13	we	we	PRON
ejpam-3368	112	14	have	have	VERB
ejpam-3368	112	15	0	0	NUM
ejpam-3368	112	16	=	=	SYM
ejpam-3368	112	17	{	{	PUNCT
ejpam-3368	112	18	ε(a)1a	ε(a)1a	PROPN
ejpam-3368	112	19	,	,	PUNCT
ejpam-3368	112	20	z	z	NOUN
ejpam-3368	112	21	}	}	PUNCT
ejpam-3368	112	22	=	=	SYM
ejpam-3368	112	23	{	{	PUNCT
ejpam-3368	112	24	∑	∑	PROPN
ejpam-3368	112	25	(	(	PUNCT
ejpam-3368	112	26	a	a	X
ejpam-3368	112	27	)	)	PUNCT
ejpam-3368	112	28	a(1)s(a(2	a(1)s(a(2	NUM
ejpam-3368	112	29	)	)	PUNCT
ejpam-3368	112	30	)	)	PUNCT
ejpam-3368	112	31	,	,	PUNCT
ejpam-3368	112	32	z	z	X
ejpam-3368	112	33	}	}	PUNCT
ejpam-3368	112	34	=	=	SYM
ejpam-3368	112	35	∑	∑	PUNCT
ejpam-3368	112	36	(	(	PUNCT
ejpam-3368	112	37	a	a	NOUN
ejpam-3368	112	38	)	)	PUNCT
ejpam-3368	112	39	(	(	PUNCT
ejpam-3368	112	40	a(1){s(a(2	a(1){s(a(2	ADJ
ejpam-3368	112	41	)	)	PUNCT
ejpam-3368	112	42	)	)	PUNCT
ejpam-3368	112	43	,	,	PUNCT
ejpam-3368	112	44	z}+(−1)|a(1)||a(2)|s(a(2)){a(1	z}+(−1)|a(1)||a(2)|s(a(2)){a(1	NOUN
ejpam-3368	112	45	)	)	PUNCT
ejpam-3368	112	46	,	,	PUNCT
ejpam-3368	112	47	z	z	NOUN
ejpam-3368	112	48	}	}	PUNCT
ejpam-3368	112	49	)	)	PUNCT
ejpam-3368	112	50	.	.	PUNCT
ejpam-3368	113	1	therefore	therefore	ADV
ejpam-3368	113	2	ada(z	ada(z	PROPN
ejpam-3368	113	3	)	)	PUNCT
ejpam-3368	113	4	=	=	SYM
ejpam-3368	114	1	−	−	PROPN
ejpam-3368	114	2	∑	∑	INTJ
ejpam-3368	114	3	(	(	PUNCT
ejpam-3368	114	4	a	a	PRON
ejpam-3368	114	5	)	)	PUNCT
ejpam-3368	114	6	a(1){s(a(2	a(1){s(a(2	NOUN
ejpam-3368	114	7	)	)	PUNCT
ejpam-3368	114	8	)	)	PUNCT
ejpam-3368	114	9	,	,	PUNCT
ejpam-3368	115	1	z	z	NOUN
ejpam-3368	115	2	}	}	PUNCT
ejpam-3368	115	3	.	.	PUNCT
ejpam-3368	116	1	lemma	lemma	PROPN
ejpam-3368	116	2	4	4	X
ejpam-3368	116	3	.	.	PUNCT
ejpam-3368	117	1	let	let	AUX
ejpam-3368	117	2	(	(	PUNCT
ejpam-3368	117	3	a	a	DET
ejpam-3368	117	4	,	,	PUNCT
ejpam-3368	117	5	u	u	NOUN
ejpam-3368	117	6	,	,	PUNCT
ejpam-3368	117	7	η,∆	η,∆	NUM
ejpam-3368	117	8	,	,	PUNCT
ejpam-3368	117	9	ε	ε	PROPN
ejpam-3368	117	10	,	,	PUNCT
ejpam-3368	117	11	s	s	PROPN
ejpam-3368	117	12	,	,	PUNCT
ejpam-3368	117	13	d	d	NOUN
ejpam-3368	117	14	)	)	PUNCT
ejpam-3368	117	15	be	be	AUX
ejpam-3368	117	16	a	a	DET
ejpam-3368	117	17	dg	dg	NOUN
ejpam-3368	117	18	poisson	poisson	NOUN
ejpam-3368	117	19	hopf	hopf	PROPN
ejpam-3368	117	20	algebra	algebra	NOUN
ejpam-3368	117	21	and	and	CCONJ
ejpam-3368	117	22	let	let	VERB
ejpam-3368	117	23	m	m	PRON
ejpam-3368	117	24	be	be	AUX
ejpam-3368	117	25	a	a	DET
ejpam-3368	117	26	dg	dg	NOUN
ejpam-3368	117	27	poisson	poisson	NOUN
ejpam-3368	117	28	a	a	NOUN
ejpam-3368	117	29	-	-	PUNCT
ejpam-3368	117	30	module	module	NOUN
ejpam-3368	117	31	.	.	PUNCT
ejpam-3368	118	1	for	for	ADP
ejpam-3368	118	2	any	any	DET
ejpam-3368	118	3	homogeneous	homogeneous	ADJ
ejpam-3368	118	4	elements	element	NOUN
ejpam-3368	118	5	a	a	PRON
ejpam-3368	118	6	,	,	PUNCT
ejpam-3368	118	7	b	b	X
ejpam-3368	118	8	∈	∈	PROPN
ejpam-3368	118	9	a	a	X
ejpam-3368	118	10	,	,	PUNCT
ejpam-3368	118	11	we	we	PRON
ejpam-3368	118	12	have	have	VERB
ejpam-3368	118	13	adab	adab	NOUN
ejpam-3368	118	14	=	=	PUNCT
ejpam-3368	118	15	ε(a)adb	ε(a)adb	PROPN
ejpam-3368	118	16	+	+	CCONJ
ejpam-3368	118	17	(	(	PUNCT
ejpam-3368	118	18	−1)|a||b|ε(b)ada	−1)|a||b|ε(b)ada	PROPN
ejpam-3368	118	19	.	.	PUNCT
ejpam-3368	119	1	proof	proof	NOUN
ejpam-3368	119	2	.	.	PUNCT
ejpam-3368	120	1	since	since	SCONJ
ejpam-3368	120	2	∆(ab	∆(ab	NOUN
ejpam-3368	120	3	)	)	PUNCT
ejpam-3368	120	4	=	=	SYM
ejpam-3368	120	5	∑	∑	PUNCT
ejpam-3368	120	6	(	(	PUNCT
ejpam-3368	120	7	a)(b)(−1)|a(2)||b(1)|a(1)b(1	a)(b)(−1)|a(2)||b(1)|a(1)b(1	PROPN
ejpam-3368	120	8	)	)	PUNCT
ejpam-3368	120	9	⊗	⊗	PROPN
ejpam-3368	120	10	a(2)b(2	a(2)b(2	PUNCT
ejpam-3368	120	11	)	)	PUNCT
ejpam-3368	120	12	and	and	CCONJ
ejpam-3368	120	13	m	m	PROPN
ejpam-3368	120	14	is	be	AUX
ejpam-3368	120	15	a	a	DET
ejpam-3368	120	16	dg	dg	NOUN
ejpam-3368	120	17	poisson	poisson	NOUN
ejpam-3368	120	18	module	module	NOUN
ejpam-3368	120	19	over	over	ADP
ejpam-3368	120	20	a	a	PRON
ejpam-3368	120	21	,	,	PUNCT
ejpam-3368	120	22	then	then	ADV
ejpam-3368	120	23	for	for	ADP
ejpam-3368	120	24	any	any	DET
ejpam-3368	120	25	homogeneous	homogeneous	ADJ
ejpam-3368	120	26	elements	element	NOUN
ejpam-3368	120	27	a	a	PRON
ejpam-3368	120	28	,	,	PUNCT
ejpam-3368	120	29	b	b	X
ejpam-3368	120	30	∈	∈	PROPN
ejpam-3368	120	31	a	a	PRON
ejpam-3368	120	32	,	,	PUNCT
ejpam-3368	120	33	z	z	NOUN
ejpam-3368	120	34	∈m	∈m	NOUN
ejpam-3368	120	35	,	,	PUNCT
ejpam-3368	120	36	we	we	PRON
ejpam-3368	120	37	have	have	VERB
ejpam-3368	120	38	adab(z	adab(z	NOUN
ejpam-3368	120	39	)	)	PUNCT
ejpam-3368	120	40	=	=	SYM
ejpam-3368	120	41	∑	∑	PUNCT
ejpam-3368	120	42	(	(	PUNCT
ejpam-3368	120	43	a)(b	a)(b	ADJ
ejpam-3368	120	44	)	)	PUNCT
ejpam-3368	120	45	(	(	PUNCT
ejpam-3368	120	46	−1)|a(1)b(1)||a(2)b(2)|+|a(2)||b(1)|s(a(2)b(2)){a(1)b(1	−1)|a(1)b(1)||a(2)b(2)|+|a(2)||b(1)|s(a(2)b(2)){a(1)b(1	NUM
ejpam-3368	120	47	)	)	PUNCT
ejpam-3368	120	48	,	,	PUNCT
ejpam-3368	120	49	z	z	X
ejpam-3368	120	50	}	}	PUNCT
ejpam-3368	120	51	=	=	SYM
ejpam-3368	120	52	∑	∑	PUNCT
ejpam-3368	120	53	(	(	PUNCT
ejpam-3368	120	54	a)(b	a)(b	ADJ
ejpam-3368	120	55	)	)	PUNCT
ejpam-3368	120	56	(	(	PUNCT
ejpam-3368	120	57	−1)|a(1)b(1)||a(2)b(2)|+|a(2)||b(1)|+|a(2)||b(2)|s(b(2))s(a(2))(a(1){b(1	−1)|a(1)b(1)||a(2)b(2)|+|a(2)||b(1)|+|a(2)||b(2)|s(b(2))s(a(2))(a(1){b(1	NOUN
ejpam-3368	120	58	)	)	PUNCT
ejpam-3368	120	59	,	,	PUNCT
ejpam-3368	120	60	z	z	X
ejpam-3368	120	61	}	}	PUNCT
ejpam-3368	120	62	+	+	CCONJ
ejpam-3368	120	63	(	(	PUNCT
ejpam-3368	120	64	−1)|a(1)||b(1)|b(1){a(1	−1)|a(1)||b(1)|b(1){a(1	PROPN
ejpam-3368	120	65	)	)	PUNCT
ejpam-3368	120	66	,	,	PUNCT
ejpam-3368	120	67	z	z	NOUN
ejpam-3368	120	68	}	}	PUNCT
ejpam-3368	120	69	)	)	PUNCT
ejpam-3368	121	1	=	=	SYM
ejpam-3368	121	2	∑	∑	PUNCT
ejpam-3368	121	3	(	(	PUNCT
ejpam-3368	121	4	a)(b	a)(b	ADJ
ejpam-3368	121	5	)	)	PUNCT
ejpam-3368	121	6	(	(	PUNCT
ejpam-3368	121	7	−1)|b(1)||b(2)|a(1)s(a(2))s(b(2)){b(1	−1)|b(1)||b(2)|a(1)s(a(2))s(b(2)){b(1	NUM
ejpam-3368	121	8	)	)	PUNCT
ejpam-3368	121	9	,	,	PUNCT
ejpam-3368	121	10	z	z	X
ejpam-3368	121	11	}	}	PUNCT
ejpam-3368	121	12	+	+	CCONJ
ejpam-3368	121	13	(	(	PUNCT
ejpam-3368	121	14	−1)|a||b|	−1)|a||b|	NOUN
ejpam-3368	121	15	∑	∑	ADP
ejpam-3368	121	16	(	(	PUNCT
ejpam-3368	121	17	a)(b	a)(b	ADJ
ejpam-3368	121	18	)	)	PUNCT
ejpam-3368	121	19	(	(	PUNCT
ejpam-3368	121	20	−1)|a(1)||a(2)|b(1)s(b(2))s(a(2)){a(1	−1)|a(1)||a(2)|b(1)s(b(2))s(a(2)){a(1	ADJ
ejpam-3368	121	21	)	)	PUNCT
ejpam-3368	121	22	,	,	PUNCT
ejpam-3368	121	23	z	z	X
ejpam-3368	121	24	}	}	PUNCT
ejpam-3368	121	25	=	=	SYM
ejpam-3368	121	26	ε(a)adb(z	ε(a)adb(z	PROPN
ejpam-3368	121	27	)	)	PUNCT
ejpam-3368	121	28	+	+	CCONJ
ejpam-3368	121	29	(	(	PUNCT
ejpam-3368	121	30	−1)|a||b|ε(b)ada(z	−1)|a||b|ε(b)ada(z	PROPN
ejpam-3368	121	31	)	)	PUNCT
ejpam-3368	121	32	by	by	ADP
ejpam-3368	121	33	lemma	lemma	PROPN
ejpam-3368	121	34	1	1	NUM
ejpam-3368	121	35	.	.	PUNCT
ejpam-3368	122	1	lemma	lemma	PROPN
ejpam-3368	122	2	5	5	X
ejpam-3368	122	3	.	.	PUNCT
ejpam-3368	123	1	let	let	AUX
ejpam-3368	123	2	(	(	PUNCT
ejpam-3368	123	3	a	a	DET
ejpam-3368	123	4	,	,	PUNCT
ejpam-3368	123	5	u	u	NOUN
ejpam-3368	123	6	,	,	PUNCT
ejpam-3368	123	7	η,∆	η,∆	NUM
ejpam-3368	123	8	,	,	PUNCT
ejpam-3368	123	9	ε	ε	PROPN
ejpam-3368	123	10	,	,	PUNCT
ejpam-3368	123	11	s	s	PROPN
ejpam-3368	123	12	,	,	PUNCT
ejpam-3368	123	13	d	d	NOUN
ejpam-3368	123	14	)	)	PUNCT
ejpam-3368	123	15	be	be	AUX
ejpam-3368	123	16	a	a	DET
ejpam-3368	123	17	dg	dg	NOUN
ejpam-3368	123	18	poisson	poisson	NOUN
ejpam-3368	123	19	hopf	hopf	PROPN
ejpam-3368	123	20	algebra	algebra	NOUN
ejpam-3368	123	21	and	and	CCONJ
ejpam-3368	123	22	let	let	VERB
ejpam-3368	123	23	m	m	PRON
ejpam-3368	123	24	be	be	AUX
ejpam-3368	123	25	a	a	DET
ejpam-3368	123	26	dg	dg	NOUN
ejpam-3368	123	27	poisson	poisson	NOUN
ejpam-3368	123	28	a	a	NOUN
ejpam-3368	123	29	-	-	PUNCT
ejpam-3368	123	30	module	module	NOUN
ejpam-3368	123	31	.	.	PUNCT
ejpam-3368	124	1	for	for	ADP
ejpam-3368	124	2	any	any	DET
ejpam-3368	124	3	homogeneous	homogeneous	ADJ
ejpam-3368	124	4	elements	element	NOUN
ejpam-3368	124	5	a	a	PRON
ejpam-3368	124	6	,	,	PUNCT
ejpam-3368	124	7	b	b	X
ejpam-3368	124	8	∈	∈	PROPN
ejpam-3368	124	9	a	a	X
ejpam-3368	124	10	,	,	PUNCT
ejpam-3368	124	11	we	we	PRON
ejpam-3368	124	12	have	have	AUX
ejpam-3368	124	13	ad{a	ad{a	PROPN
ejpam-3368	124	14	,	,	PUNCT
ejpam-3368	124	15	b	b	NOUN
ejpam-3368	124	16	}	}	PUNCT
ejpam-3368	124	17	=	=	PUNCT
ejpam-3368	124	18	adaadb	adaadb	ADV
ejpam-3368	124	19	−	−	PROPN
ejpam-3368	124	20	(	(	PUNCT
ejpam-3368	124	21	−1)|a||b|adbada	−1)|a||b|adbada	PROPN
ejpam-3368	124	22	.	.	PROPN
ejpam-3368	124	23	x.-j	x.-j	PROPN
ejpam-3368	124	24	.	.	PUNCT
ejpam-3368	125	1	li	li	PROPN
ejpam-3368	125	2	,	,	PUNCT
ejpam-3368	125	3	x.-g	x.-g	PROPN
ejpam-3368	125	4	.	.	PUNCT
ejpam-3368	126	1	hu	hu	PROPN
ejpam-3368	126	2	,	,	PUNCT
ejpam-3368	126	3	j.-f	j.-f	NOUN
ejpam-3368	126	4	.	.	PUNCT
ejpam-3368	127	1	lü	lü	PUNCT
ejpam-3368	127	2	,	,	PUNCT
ejpam-3368	127	3	x.	x.	PROPN
ejpam-3368	127	4	wang	wang	PROPN
ejpam-3368	127	5	/	/	SYM
ejpam-3368	127	6	eur	eur	PROPN
ejpam-3368	127	7	.	.	PUNCT
ejpam-3368	128	1	j.	j.	PROPN
ejpam-3368	128	2	pure	pure	PROPN
ejpam-3368	128	3	appl	appl	PROPN
ejpam-3368	128	4	.	.	PROPN
ejpam-3368	128	5	math	math	PROPN
ejpam-3368	128	6	,	,	PUNCT
ejpam-3368	128	7	12	12	NUM
ejpam-3368	128	8	(	(	PUNCT
ejpam-3368	128	9	1	1	NUM
ejpam-3368	128	10	)	)	PUNCT
ejpam-3368	128	11	(	(	PUNCT
ejpam-3368	128	12	2019	2019	NUM
ejpam-3368	128	13	)	)	PUNCT
ejpam-3368	128	14	,	,	PUNCT
ejpam-3368	128	15	14	14	NUM
ejpam-3368	128	16	-	-	SYM
ejpam-3368	128	17	24	24	NUM
ejpam-3368	128	18	20	20	NUM
ejpam-3368	128	19	proof	proof	NOUN
ejpam-3368	128	20	.	.	PUNCT
ejpam-3368	129	1	since	since	SCONJ
ejpam-3368	129	2	∆({a	∆({a	PROPN
ejpam-3368	129	3	,	,	PUNCT
ejpam-3368	129	4	b	b	NOUN
ejpam-3368	129	5	}	}	PUNCT
ejpam-3368	129	6	)	)	PUNCT
ejpam-3368	129	7	=	=	PUNCT
ejpam-3368	129	8	∑	∑	PUNCT
ejpam-3368	129	9	(	(	PUNCT
ejpam-3368	129	10	a)(b)(−1)|a(2)||b(1)|({a(1	a)(b)(−1)|a(2)||b(1)|({a(1	NOUN
ejpam-3368	129	11	)	)	PUNCT
ejpam-3368	129	12	,	,	PUNCT
ejpam-3368	129	13	b(1)}⊗a(2)b(2)+a(1)b(1)⊗{a(2	b(1)}⊗a(2)b(2)+a(1)b(1)⊗{a(2	NOUN
ejpam-3368	129	14	)	)	PUNCT
ejpam-3368	129	15	,	,	PUNCT
ejpam-3368	129	16	b(2	b(2	PROPN
ejpam-3368	129	17	)	)	PUNCT
ejpam-3368	129	18	}	}	PUNCT
ejpam-3368	129	19	)	)	PUNCT
ejpam-3368	130	1	and	and	CCONJ
ejpam-3368	130	2	m	m	PROPN
ejpam-3368	130	3	is	be	AUX
ejpam-3368	130	4	a	a	DET
ejpam-3368	130	5	dg	dg	NOUN
ejpam-3368	130	6	poisson	poisson	NOUN
ejpam-3368	130	7	module	module	NOUN
ejpam-3368	130	8	over	over	ADP
ejpam-3368	130	9	a	a	PRON
ejpam-3368	130	10	,	,	PUNCT
ejpam-3368	130	11	then	then	ADV
ejpam-3368	130	12	for	for	ADP
ejpam-3368	130	13	any	any	DET
ejpam-3368	130	14	homogeneous	homogeneous	ADJ
ejpam-3368	130	15	elements	element	NOUN
ejpam-3368	130	16	a	a	PRON
ejpam-3368	130	17	,	,	PUNCT
ejpam-3368	130	18	b	b	X
ejpam-3368	130	19	∈	∈	PROPN
ejpam-3368	130	20	a	a	PRON
ejpam-3368	130	21	,	,	PUNCT
ejpam-3368	130	22	z	z	PROPN
ejpam-3368	130	23	∈	∈	NOUN
ejpam-3368	130	24	m	m	VERB
ejpam-3368	130	25	,	,	PUNCT
ejpam-3368	130	26	we	we	PRON
ejpam-3368	130	27	have	have	AUX
ejpam-3368	130	28	ad{a	ad{a	PROPN
ejpam-3368	130	29	,	,	PUNCT
ejpam-3368	130	30	b}(z	b}(z	NOUN
ejpam-3368	130	31	)	)	PUNCT
ejpam-3368	130	32	=	=	SYM
ejpam-3368	130	33	∑	∑	PUNCT
ejpam-3368	130	34	(	(	PUNCT
ejpam-3368	130	35	a)(b	a)(b	ADJ
ejpam-3368	130	36	)	)	PUNCT
ejpam-3368	130	37	(	(	PUNCT
ejpam-3368	130	38	−1)|{a	−1)|{a	NUM
ejpam-3368	130	39	,	,	PUNCT
ejpam-3368	130	40	b}(1)||{a	b}(1)||{a	PROPN
ejpam-3368	130	41	,	,	PUNCT
ejpam-3368	130	42	b}(2)|s({a	b}(2)|s({a	PROPN
ejpam-3368	130	43	,	,	PUNCT
ejpam-3368	130	44	b}(2)){{a	b}(2)){{a	PROPN
ejpam-3368	130	45	,	,	PUNCT
ejpam-3368	130	46	b}(1	b}(1	PROPN
ejpam-3368	130	47	)	)	PUNCT
ejpam-3368	130	48	,	,	PUNCT
ejpam-3368	130	49	z	z	X
ejpam-3368	130	50	}	}	PUNCT
ejpam-3368	130	51	=	=	SYM
ejpam-3368	130	52	∑	∑	PUNCT
ejpam-3368	130	53	(	(	PUNCT
ejpam-3368	130	54	a)(b	a)(b	ADJ
ejpam-3368	130	55	)	)	PUNCT
ejpam-3368	130	56	(	(	PUNCT
ejpam-3368	130	57	−1)(|a(1)|+|b(1)|)(|a(2)|+|b(2)|)+|a(2)||b(1)|(s(a(2)b(2)){{a(1	−1)(|a(1)|+|b(1)|)(|a(2)|+|b(2)|)+|a(2)||b(1)|(s(a(2)b(2)){{a(1	NOUN
ejpam-3368	130	58	)	)	PUNCT
ejpam-3368	130	59	,	,	PUNCT
ejpam-3368	130	60	b(1	b(1	PROPN
ejpam-3368	130	61	)	)	PUNCT
ejpam-3368	130	62	}	}	PUNCT
ejpam-3368	130	63	,	,	PUNCT
ejpam-3368	130	64	z	z	X
ejpam-3368	130	65	}	}	PUNCT
ejpam-3368	130	66	+	+	CCONJ
ejpam-3368	130	67	s({a(2	s({a(2	NOUN
ejpam-3368	130	68	)	)	PUNCT
ejpam-3368	130	69	,	,	PUNCT
ejpam-3368	130	70	b(2)}){a(1)b(1	b(2)}){a(1)b(1	NOUN
ejpam-3368	130	71	)	)	PUNCT
ejpam-3368	130	72	,	,	PUNCT
ejpam-3368	130	73	z	z	NOUN
ejpam-3368	130	74	}	}	PUNCT
ejpam-3368	130	75	)	)	PUNCT
ejpam-3368	131	1	=	=	SYM
ejpam-3368	131	2	∑	∑	PUNCT
ejpam-3368	131	3	(	(	PUNCT
ejpam-3368	131	4	a)(b	a)(b	ADJ
ejpam-3368	131	5	)	)	PUNCT
ejpam-3368	131	6	(	(	PUNCT
ejpam-3368	131	7	−1)|a(1)||a(2)b(2)|+|b(1)||b(2)|+|a(2)||b(2)|s(b(2))s(a(2))[{a(1	−1)|a(1)||a(2)b(2)|+|b(1)||b(2)|+|a(2)||b(2)|s(b(2))s(a(2))[{a(1	NOUN
ejpam-3368	131	8	)	)	PUNCT
ejpam-3368	131	9	,	,	PUNCT
ejpam-3368	131	10	{	{	PUNCT
ejpam-3368	131	11	b(1	b(1	PROPN
ejpam-3368	131	12	)	)	PUNCT
ejpam-3368	131	13	,	,	PUNCT
ejpam-3368	131	14	z	z	NOUN
ejpam-3368	131	15	}	}	PUNCT
ejpam-3368	131	16	}	}	PUNCT
ejpam-3368	131	17	−	−	PROPN
ejpam-3368	131	18	(	(	PUNCT
ejpam-3368	131	19	−1)|a(1)||b(1)|{b(1	−1)|a(1)||b(1)|{b(1	PROPN
ejpam-3368	131	20	)	)	PUNCT
ejpam-3368	131	21	,	,	PUNCT
ejpam-3368	131	22	{	{	PUNCT
ejpam-3368	131	23	a(1	a(1	ADJ
ejpam-3368	131	24	)	)	PUNCT
ejpam-3368	131	25	,	,	PUNCT
ejpam-3368	131	26	z	z	NOUN
ejpam-3368	131	27	}	}	PUNCT
ejpam-3368	131	28	}	}	PUNCT
ejpam-3368	131	29	]	]	PUNCT
ejpam-3368	132	1	+	+	CCONJ
ejpam-3368	132	2	∑	∑	PUNCT
ejpam-3368	132	3	(	(	PUNCT
ejpam-3368	132	4	a)(b	a)(b	ADJ
ejpam-3368	132	5	)	)	PUNCT
ejpam-3368	132	6	(	(	PUNCT
ejpam-3368	132	7	−1)|a(1)||a(2)b(2)|+|b(1)||b(2)|+|a(2)||b(2)|{s(b(2	−1)|a(1)||a(2)b(2)|+|b(1)||b(2)|+|a(2)||b(2)|{s(b(2	NOUN
ejpam-3368	132	8	)	)	PUNCT
ejpam-3368	132	9	)	)	PUNCT
ejpam-3368	132	10	,	,	PUNCT
ejpam-3368	132	11	s(a(2))}[a(1){b(1	s(a(2))}[a(1){b(1	PROPN
ejpam-3368	132	12	)	)	PUNCT
ejpam-3368	132	13	,	,	PUNCT
ejpam-3368	132	14	z}+	z}+	NUM
ejpam-3368	132	15	(	(	PUNCT
ejpam-3368	132	16	−1)|a(1)||b(1)|b(1){a(1	−1)|a(1)||b(1)|b(1){a(1	PROPN
ejpam-3368	132	17	)	)	PUNCT
ejpam-3368	132	18	,	,	PUNCT
ejpam-3368	132	19	z	z	NOUN
ejpam-3368	132	20	}	}	PUNCT
ejpam-3368	132	21	]	]	PUNCT
ejpam-3368	132	22	by	by	ADP
ejpam-3368	132	23	lemmas	lemmas	PROPN
ejpam-3368	132	24	1	1	NUM
ejpam-3368	132	25	and	and	CCONJ
ejpam-3368	132	26	2	2	NUM
ejpam-3368	132	27	.	.	PUNCT
ejpam-3368	132	28	but∑	but∑	PUNCT
ejpam-3368	132	29	(	(	PUNCT
ejpam-3368	132	30	a)(b	a)(b	ADJ
ejpam-3368	132	31	)	)	PUNCT
ejpam-3368	132	32	(	(	PUNCT
ejpam-3368	132	33	−1)|a(1)||a(2)|+|a(1)||b(2)|+|b(1)||b(2)|+|a(2)||b(2)|{s(b(2	−1)|a(1)||a(2)|+|a(1)||b(2)|+|b(1)||b(2)|+|a(2)||b(2)|{s(b(2	NUM
ejpam-3368	132	34	)	)	PUNCT
ejpam-3368	132	35	)	)	PUNCT
ejpam-3368	132	36	,	,	PUNCT
ejpam-3368	132	37	s(a(2))}a(1){b(1	s(a(2))}a(1){b(1	PROPN
ejpam-3368	132	38	)	)	PUNCT
ejpam-3368	132	39	,	,	PUNCT
ejpam-3368	132	40	z	z	X
ejpam-3368	132	41	}	}	PUNCT
ejpam-3368	132	42	=	=	SYM
ejpam-3368	132	43	∑	∑	PUNCT
ejpam-3368	132	44	(	(	PUNCT
ejpam-3368	132	45	a)(b	a)(b	ADJ
ejpam-3368	132	46	)	)	PUNCT
ejpam-3368	132	47	−(−1)|a(1)||a(2)|+|a(1)||b(2)|+|b(1)||b(2)|{s(a(2	−(−1)|a(1)||a(2)|+|a(1)||b(2)|+|b(1)||b(2)|{s(a(2	NOUN
ejpam-3368	132	48	)	)	PUNCT
ejpam-3368	132	49	)	)	PUNCT
ejpam-3368	132	50	,	,	PUNCT
ejpam-3368	132	51	s(b(2))}a(1){b(1	s(b(2))}a(1){b(1	NOUN
ejpam-3368	132	52	)	)	PUNCT
ejpam-3368	132	53	,	,	PUNCT
ejpam-3368	132	54	z	z	NOUN
ejpam-3368	132	55	}	}	PUNCT
ejpam-3368	132	56	=	=	SYM
ejpam-3368	132	57	∑	∑	PUNCT
ejpam-3368	132	58	(	(	PUNCT
ejpam-3368	132	59	a)(b	a)(b	ADJ
ejpam-3368	132	60	)	)	PUNCT
ejpam-3368	132	61	−(−1)|b(1)||b(2)|a(1)[{s(a(2	−(−1)|b(1)||b(2)|a(1)[{s(a(2	NOUN
ejpam-3368	132	62	)	)	PUNCT
ejpam-3368	132	63	)	)	PUNCT
ejpam-3368	132	64	,	,	PUNCT
ejpam-3368	132	65	s(b(2)){b(1	s(b(2)){b(1	PROPN
ejpam-3368	132	66	)	)	PUNCT
ejpam-3368	132	67	,	,	PUNCT
ejpam-3368	132	68	z	z	NOUN
ejpam-3368	132	69	}	}	PUNCT
ejpam-3368	132	70	}	}	PUNCT
ejpam-3368	132	71	−	−	PROPN
ejpam-3368	132	72	(	(	PUNCT
ejpam-3368	132	73	−1)|a(2)||b(2)|s(b(2)){s(a(2	−1)|a(2)||b(2)|s(b(2)){s(a(2	NOUN
ejpam-3368	132	74	)	)	PUNCT
ejpam-3368	132	75	)	)	PUNCT
ejpam-3368	132	76	,	,	PUNCT
ejpam-3368	132	77	{	{	PUNCT
ejpam-3368	132	78	b(1	b(1	PROPN
ejpam-3368	132	79	)	)	PUNCT
ejpam-3368	132	80	,	,	PUNCT
ejpam-3368	132	81	z	z	NOUN
ejpam-3368	132	82	}	}	PUNCT
ejpam-3368	132	83	}	}	PUNCT
ejpam-3368	132	84	]	]	PUNCT
ejpam-3368	132	85	=	=	SYM
ejpam-3368	132	86	adaadb(z	adaadb(z	NOUN
ejpam-3368	132	87	)	)	PUNCT
ejpam-3368	133	1	+	+	CCONJ
ejpam-3368	133	2	∑	∑	PROPN
ejpam-3368	133	3	(	(	PUNCT
ejpam-3368	133	4	a)(b	a)(b	ADJ
ejpam-3368	133	5	)	)	PUNCT
ejpam-3368	133	6	(	(	PUNCT
ejpam-3368	133	7	−1)|b(1)||b(2)|+|a(2)||b(2)|a(1)s(b(2)){s(a(2	−1)|b(1)||b(2)|+|a(2)||b(2)|a(1)s(b(2)){s(a(2	ADJ
ejpam-3368	133	8	)	)	PUNCT
ejpam-3368	133	9	)	)	PUNCT
ejpam-3368	134	1	,	,	PUNCT
ejpam-3368	134	2	{	{	PUNCT
ejpam-3368	134	3	b(1	b(1	PROPN
ejpam-3368	134	4	)	)	PUNCT
ejpam-3368	134	5	,	,	PUNCT
ejpam-3368	134	6	z	z	NOUN
ejpam-3368	134	7	}	}	PUNCT
ejpam-3368	134	8	}	}	PUNCT
ejpam-3368	134	9	by	by	ADP
ejpam-3368	134	10	lemma	lemma	PROPN
ejpam-3368	134	11	3	3	NUM
ejpam-3368	134	12	.	.	PUNCT
ejpam-3368	134	13	similarly	similarly	ADV
ejpam-3368	134	14	,	,	PUNCT
ejpam-3368	134	15	we	we	PRON
ejpam-3368	134	16	have∑	have∑	VERB
ejpam-3368	134	17	(	(	PUNCT
ejpam-3368	134	18	a)(b	a)(b	ADJ
ejpam-3368	134	19	)	)	PUNCT
ejpam-3368	135	1	(	(	PUNCT
ejpam-3368	135	2	−1)|a(1)||a(2)|+|a(1)||b(2)|+|b(1)||b(2)|+|a(2)||b(2)|+|a(1)||b(1)|{s(b(2	−1)|a(1)||a(2)|+|a(1)||b(2)|+|b(1)||b(2)|+|a(2)||b(2)|+|a(1)||b(1)|{s(b(2	NOUN
ejpam-3368	135	3	)	)	PUNCT
ejpam-3368	135	4	)	)	PUNCT
ejpam-3368	135	5	,	,	PUNCT
ejpam-3368	135	6	s(a(2))}b(1){a(1	s(a(2))}b(1){a(1	NOUN
ejpam-3368	135	7	)	)	PUNCT
ejpam-3368	135	8	,	,	PUNCT
ejpam-3368	136	1	z	z	X
ejpam-3368	136	2	}	}	PUNCT
ejpam-3368	136	3	=	=	ADJ
ejpam-3368	136	4	−	−	NOUN
ejpam-3368	136	5	(	(	PUNCT
ejpam-3368	136	6	−1)|a||b|adbada(z)−	−1)|a||b|adbada(z)−	NOUN
ejpam-3368	136	7	∑	∑	INTJ
ejpam-3368	136	8	(	(	PUNCT
ejpam-3368	136	9	a)(b	a)(b	ADJ
ejpam-3368	136	10	)	)	PUNCT
ejpam-3368	136	11	(	(	PUNCT
ejpam-3368	136	12	−1)|a||b|+|a(1)||a(2)|+|a(2)||b(2)|b(1)s(a(2)){s(b(2	−1)|a||b|+|a(1)||a(2)|+|a(2)||b(2)|b(1)s(a(2)){s(b(2	PROPN
ejpam-3368	136	13	)	)	PUNCT
ejpam-3368	136	14	)	)	PUNCT
ejpam-3368	136	15	,	,	PUNCT
ejpam-3368	136	16	{	{	PUNCT
ejpam-3368	136	17	a(1	a(1	ADJ
ejpam-3368	136	18	)	)	PUNCT
ejpam-3368	136	19	,	,	PUNCT
ejpam-3368	136	20	z	z	NOUN
ejpam-3368	136	21	}	}	PUNCT
ejpam-3368	136	22	}	}	PUNCT
ejpam-3368	136	23	.	.	PUNCT
ejpam-3368	137	1	since	since	SCONJ
ejpam-3368	137	2	for	for	ADP
ejpam-3368	137	3	any	any	DET
ejpam-3368	137	4	homogeneous	homogeneous	ADJ
ejpam-3368	137	5	element	element	NOUN
ejpam-3368	137	6	z	z	NOUN
ejpam-3368	137	7	∈m	∈m	NOUN
ejpam-3368	137	8	,	,	PUNCT
ejpam-3368	137	9	we	we	PRON
ejpam-3368	137	10	have	have	VERB
ejpam-3368	137	11	{	{	PUNCT
ejpam-3368	137	12	1a	1a	NOUN
ejpam-3368	137	13	,	,	PUNCT
ejpam-3368	137	14	z	z	NOUN
ejpam-3368	137	15	}	}	PUNCT
ejpam-3368	137	16	=	=	SYM
ejpam-3368	137	17	0	0	X
ejpam-3368	137	18	.	.	PUNCT
ejpam-3368	138	1	thus	thus	ADV
ejpam-3368	138	2	ad{a	ad{a	PROPN
ejpam-3368	138	3	,	,	PUNCT
ejpam-3368	138	4	b}(z	b}(z	NOUN
ejpam-3368	138	5	)	)	PUNCT
ejpam-3368	138	6	=	=	SYM
ejpam-3368	138	7	adaadb(z	adaadb(z	NOUN
ejpam-3368	138	8	)	)	PUNCT
ejpam-3368	139	1	+	+	CCONJ
ejpam-3368	139	2	∑	∑	PROPN
ejpam-3368	139	3	(	(	PUNCT
ejpam-3368	139	4	a)(b	a)(b	ADJ
ejpam-3368	139	5	)	)	PUNCT
ejpam-3368	139	6	(	(	PUNCT
ejpam-3368	139	7	−1)|b(1)||b(2)|+|a(2)||b(2)|a(1)s(b(2)){s(a(2	−1)|b(1)||b(2)|+|a(2)||b(2)|a(1)s(b(2)){s(a(2	ADJ
ejpam-3368	139	8	)	)	PUNCT
ejpam-3368	139	9	)	)	PUNCT
ejpam-3368	140	1	,	,	PUNCT
ejpam-3368	140	2	{	{	PUNCT
ejpam-3368	140	3	b(1	b(1	PROPN
ejpam-3368	140	4	)	)	PUNCT
ejpam-3368	140	5	,	,	PUNCT
ejpam-3368	140	6	z	z	NOUN
ejpam-3368	140	7	}	}	PUNCT
ejpam-3368	140	8	}	}	PUNCT
ejpam-3368	140	9	−	−	PROPN
ejpam-3368	140	10	(	(	PUNCT
ejpam-3368	140	11	−1)|a||b|adbada(z)−	−1)|a||b|adbada(z)−	NOUN
ejpam-3368	140	12	∑	∑	INTJ
ejpam-3368	140	13	(	(	PUNCT
ejpam-3368	140	14	a)(b	a)(b	ADJ
ejpam-3368	140	15	)	)	PUNCT
ejpam-3368	140	16	(	(	PUNCT
ejpam-3368	140	17	−1)|a||b|+|a(1)||a(2)|+|a(2)||b(2)|b(1)s(a(2)){s(b(2	−1)|a||b|+|a(1)||a(2)|+|a(2)||b(2)|b(1)s(a(2)){s(b(2	PROPN
ejpam-3368	140	18	)	)	PUNCT
ejpam-3368	140	19	)	)	PUNCT
ejpam-3368	140	20	,	,	PUNCT
ejpam-3368	140	21	{	{	PUNCT
ejpam-3368	140	22	a(1	a(1	ADJ
ejpam-3368	140	23	)	)	PUNCT
ejpam-3368	140	24	,	,	PUNCT
ejpam-3368	140	25	z	z	NOUN
ejpam-3368	140	26	}	}	PUNCT
ejpam-3368	140	27	}	}	PUNCT
ejpam-3368	140	28	x.-j	x.-j	PROPN
ejpam-3368	140	29	.	.	PUNCT
ejpam-3368	141	1	li	li	PROPN
ejpam-3368	141	2	,	,	PUNCT
ejpam-3368	141	3	x.-g	x.-g	PROPN
ejpam-3368	141	4	.	.	PUNCT
ejpam-3368	142	1	hu	hu	PROPN
ejpam-3368	142	2	,	,	PUNCT
ejpam-3368	142	3	j.-f	j.-f	NOUN
ejpam-3368	142	4	.	.	PUNCT
ejpam-3368	143	1	lü	lü	PUNCT
ejpam-3368	143	2	,	,	PUNCT
ejpam-3368	143	3	x.	x.	PROPN
ejpam-3368	143	4	wang	wang	PROPN
ejpam-3368	143	5	/	/	SYM
ejpam-3368	143	6	eur	eur	PROPN
ejpam-3368	143	7	.	.	PUNCT
ejpam-3368	144	1	j.	j.	PROPN
ejpam-3368	144	2	pure	pure	PROPN
ejpam-3368	144	3	appl	appl	PROPN
ejpam-3368	144	4	.	.	PROPN
ejpam-3368	144	5	math	math	PROPN
ejpam-3368	144	6	,	,	PUNCT
ejpam-3368	144	7	12	12	NUM
ejpam-3368	144	8	(	(	PUNCT
ejpam-3368	144	9	1	1	NUM
ejpam-3368	144	10	)	)	PUNCT
ejpam-3368	144	11	(	(	PUNCT
ejpam-3368	144	12	2019	2019	NUM
ejpam-3368	144	13	)	)	PUNCT
ejpam-3368	144	14	,	,	PUNCT
ejpam-3368	144	15	14	14	NUM
ejpam-3368	144	16	-	-	SYM
ejpam-3368	144	17	24	24	NUM
ejpam-3368	144	18	21	21	NUM
ejpam-3368	144	19	+	+	CCONJ
ejpam-3368	144	20	∑	∑	PROPN
ejpam-3368	144	21	(	(	PUNCT
ejpam-3368	144	22	a)(b	a)(b	ADJ
ejpam-3368	144	23	)	)	PUNCT
ejpam-3368	144	24	(	(	PUNCT
ejpam-3368	144	25	−1)|a(1)||a(2)|+|a(1)||b(2)|+|b(1)||b(2)|+|a(2)||b(2)|s(b(2))s(a(2)){a(1	−1)|a(1)||a(2)|+|a(1)||b(2)|+|b(1)||b(2)|+|a(2)||b(2)|s(b(2))s(a(2)){a(1	NUM
ejpam-3368	144	26	)	)	PUNCT
ejpam-3368	144	27	,	,	PUNCT
ejpam-3368	144	28	{	{	PUNCT
ejpam-3368	144	29	b(1	b(1	PROPN
ejpam-3368	144	30	)	)	PUNCT
ejpam-3368	144	31	,	,	PUNCT
ejpam-3368	144	32	z	z	NOUN
ejpam-3368	144	33	}	}	PUNCT
ejpam-3368	144	34	}	}	PUNCT
ejpam-3368	144	35	−	−	PROPN
ejpam-3368	144	36	∑	∑	INTJ
ejpam-3368	144	37	(	(	PUNCT
ejpam-3368	144	38	a)(b	a)(b	ADJ
ejpam-3368	144	39	)	)	PUNCT
ejpam-3368	144	40	(	(	PUNCT
ejpam-3368	144	41	−1)|a(1)||a(2)|+|a(1)||b(2)|+|b(1)||b(2)|+|a(2)||b(2)|+|a(1)||b(1)|s(b(2))s(a(2)){b(1	−1)|a(1)||a(2)|+|a(1)||b(2)|+|b(1)||b(2)|+|a(2)||b(2)|+|a(1)||b(1)|s(b(2))s(a(2)){b(1	NUM
ejpam-3368	144	42	)	)	PUNCT
ejpam-3368	144	43	,	,	PUNCT
ejpam-3368	144	44	{	{	PUNCT
ejpam-3368	144	45	a(1	a(1	ADJ
ejpam-3368	144	46	)	)	PUNCT
ejpam-3368	144	47	,	,	PUNCT
ejpam-3368	144	48	z	z	NOUN
ejpam-3368	144	49	}	}	PUNCT
ejpam-3368	144	50	}	}	PUNCT
ejpam-3368	144	51	=	=	SYM
ejpam-3368	144	52	adaadb(z)−	adaadb(z)−	PROPN
ejpam-3368	144	53	(	(	PUNCT
ejpam-3368	144	54	−1)|a||b|adbada(z	−1)|a||b|adbada(z	PROPN
ejpam-3368	144	55	)	)	PUNCT
ejpam-3368	144	56	+	+	CCONJ
ejpam-3368	144	57	∑	∑	PUNCT
ejpam-3368	144	58	(	(	PUNCT
ejpam-3368	144	59	b	b	NOUN
ejpam-3368	144	60	)	)	PUNCT
ejpam-3368	144	61	(	(	PUNCT
ejpam-3368	144	62	−1)|b(1)||b(2)|+|a||b(2)|s(b(2)){ε(a)1a	−1)|b(1)||b(2)|+|a||b(2)|s(b(2)){ε(a)1a	PROPN
ejpam-3368	144	63	,	,	PUNCT
ejpam-3368	144	64	{	{	PUNCT
ejpam-3368	144	65	b(1	b(1	PROPN
ejpam-3368	144	66	)	)	PUNCT
ejpam-3368	144	67	,	,	PUNCT
ejpam-3368	144	68	z	z	NOUN
ejpam-3368	144	69	}	}	PUNCT
ejpam-3368	144	70	}	}	PUNCT
ejpam-3368	144	71	−	−	PROPN
ejpam-3368	144	72	∑	∑	PROPN
ejpam-3368	144	73	(	(	PUNCT
ejpam-3368	144	74	a	a	NOUN
ejpam-3368	144	75	)	)	PUNCT
ejpam-3368	144	76	(	(	PUNCT
ejpam-3368	144	77	−1)|a||b|+|a(1)||a(2)|+|a(2)||b|s(a(2)){ε(b)1a	−1)|a||b|+|a(1)||a(2)|+|a(2)||b|s(a(2)){ε(b)1a	X
ejpam-3368	144	78	,	,	PUNCT
ejpam-3368	144	79	{	{	PUNCT
ejpam-3368	144	80	a(1	a(1	ADJ
ejpam-3368	144	81	)	)	PUNCT
ejpam-3368	144	82	,	,	PUNCT
ejpam-3368	144	83	z	z	NOUN
ejpam-3368	144	84	}	}	PUNCT
ejpam-3368	144	85	}	}	PUNCT
ejpam-3368	144	86	=	=	SYM
ejpam-3368	144	87	adaadb(z)−	adaadb(z)−	PROPN
ejpam-3368	144	88	(	(	PUNCT
ejpam-3368	144	89	−1)|a||b|adbada(z	−1)|a||b|adbada(z	NOUN
ejpam-3368	144	90	)	)	PUNCT
ejpam-3368	144	91	.	.	PUNCT
ejpam-3368	145	1	as	as	ADP
ejpam-3368	145	2	an	an	DET
ejpam-3368	145	3	application	application	NOUN
ejpam-3368	145	4	,	,	PUNCT
ejpam-3368	145	5	we	we	PRON
ejpam-3368	145	6	are	be	AUX
ejpam-3368	145	7	ready	ready	ADJ
ejpam-3368	145	8	to	to	PART
ejpam-3368	145	9	state	state	VERB
ejpam-3368	145	10	and	and	CCONJ
ejpam-3368	145	11	prove	prove	VERB
ejpam-3368	145	12	our	our	PRON
ejpam-3368	145	13	main	main	ADJ
ejpam-3368	145	14	result	result	NOUN
ejpam-3368	145	15	.	.	PUNCT
ejpam-3368	146	1	theorem	theorem	NOUN
ejpam-3368	146	2	1	1	X
ejpam-3368	146	3	.	.	PUNCT
ejpam-3368	147	1	let	let	VERB
ejpam-3368	147	2	m	m	PRON
ejpam-3368	147	3	be	be	AUX
ejpam-3368	147	4	a	a	DET
ejpam-3368	147	5	dg	dg	NOUN
ejpam-3368	147	6	poisson	poisson	NOUN
ejpam-3368	147	7	module	module	NOUN
ejpam-3368	147	8	over	over	ADP
ejpam-3368	147	9	a	a	DET
ejpam-3368	147	10	dg	dg	NOUN
ejpam-3368	147	11	poisson	poisson	NOUN
ejpam-3368	147	12	hopf	hopf	PROPN
ejpam-3368	147	13	algebra	algebra	PROPN
ejpam-3368	147	14	(	(	PUNCT
ejpam-3368	147	15	a	a	DET
ejpam-3368	147	16	,	,	PUNCT
ejpam-3368	147	17	u	u	NOUN
ejpam-3368	147	18	,	,	PUNCT
ejpam-3368	147	19	η,∆	η,∆	NUM
ejpam-3368	147	20	,	,	PUNCT
ejpam-3368	147	21	ε	ε	PROPN
ejpam-3368	147	22	,	,	PUNCT
ejpam-3368	147	23	s	s	PROPN
ejpam-3368	147	24	,	,	PUNCT
ejpam-3368	147	25	d	d	NOUN
ejpam-3368	147	26	)	)	PUNCT
ejpam-3368	147	27	.	.	PUNCT
ejpam-3368	148	1	define	define	VERB
ejpam-3368	148	2	α	α	NOUN
ejpam-3368	148	3	:	:	PUNCT
ejpam-3368	148	4	a×m	a×m	PROPN
ejpam-3368	148	5	→m	→m	PROPN
ejpam-3368	148	6	,	,	PUNCT
ejpam-3368	148	7	(	(	PUNCT
ejpam-3368	148	8	a	a	PRON
ejpam-3368	148	9	,	,	PUNCT
ejpam-3368	148	10	z	z	NOUN
ejpam-3368	148	11	)	)	PUNCT
ejpam-3368	148	12	7→	7→	NOUN
ejpam-3368	148	13	a	a	DET
ejpam-3368	148	14	◦	◦	NOUN
ejpam-3368	148	15	z	z	NOUN
ejpam-3368	148	16	=	=	SYM
ejpam-3368	148	17	ε(a)z	ε(a)z	NOUN
ejpam-3368	148	18	;	;	PUNCT
ejpam-3368	148	19	β	β	NOUN
ejpam-3368	148	20	:	:	PUNCT
ejpam-3368	148	21	a×m	a×m	PROPN
ejpam-3368	148	22	→m	→m	X
ejpam-3368	148	23	,	,	PUNCT
ejpam-3368	148	24	(	(	PUNCT
ejpam-3368	148	25	a	a	PRON
ejpam-3368	148	26	,	,	PUNCT
ejpam-3368	148	27	z	z	NOUN
ejpam-3368	148	28	)	)	PUNCT
ejpam-3368	148	29	7→	7→	NOUN
ejpam-3368	148	30	a	a	DET
ejpam-3368	148	31	∗	∗	NOUN
ejpam-3368	148	32	z	z	NOUN
ejpam-3368	148	33	=	=	SYM
ejpam-3368	148	34	ada(z	ada(z	PROPN
ejpam-3368	148	35	)	)	PUNCT
ejpam-3368	148	36	:	:	PUNCT
ejpam-3368	148	37	=	=	SYM
ejpam-3368	148	38	∑	∑	PUNCT
ejpam-3368	148	39	(	(	PUNCT
ejpam-3368	148	40	a	a	NOUN
ejpam-3368	148	41	)	)	PUNCT
ejpam-3368	148	42	(	(	PUNCT
ejpam-3368	148	43	−1)|a(1)||a(2)|s(a(2)){a(1	−1)|a(1)||a(2)|s(a(2)){a(1	NOUN
ejpam-3368	148	44	)	)	PUNCT
ejpam-3368	148	45	,	,	PUNCT
ejpam-3368	148	46	z	z	NOUN
ejpam-3368	148	47	}	}	PUNCT
ejpam-3368	148	48	.	.	PUNCT
ejpam-3368	149	1	then	then	ADV
ejpam-3368	149	2	(	(	PUNCT
ejpam-3368	149	3	m	m	NOUN
ejpam-3368	149	4	,	,	PUNCT
ejpam-3368	149	5	◦	◦	NOUN
ejpam-3368	149	6	,	,	PUNCT
ejpam-3368	149	7	∗	∗	NOUN
ejpam-3368	149	8	,	,	PUNCT
ejpam-3368	149	9	∂	∂	NUM
ejpam-3368	149	10	)	)	PUNCT
ejpam-3368	149	11	is	be	AUX
ejpam-3368	149	12	a	a	DET
ejpam-3368	149	13	dg	dg	NOUN
ejpam-3368	149	14	poisson	poisson	NOUN
ejpam-3368	149	15	a	a	NOUN
ejpam-3368	149	16	-	-	PUNCT
ejpam-3368	149	17	module	module	NOUN
ejpam-3368	149	18	.	.	PUNCT
ejpam-3368	150	1	proof	proof	NOUN
ejpam-3368	150	2	.	.	PUNCT
ejpam-3368	151	1	note	note	VERB
ejpam-3368	151	2	that	that	SCONJ
ejpam-3368	151	3	(	(	PUNCT
ejpam-3368	151	4	a	a	DET
ejpam-3368	151	5	,	,	PUNCT
ejpam-3368	151	6	u	u	NOUN
ejpam-3368	151	7	,	,	PUNCT
ejpam-3368	151	8	η,∆	η,∆	NUM
ejpam-3368	151	9	,	,	PUNCT
ejpam-3368	151	10	ε	ε	PROPN
ejpam-3368	151	11	,	,	PUNCT
ejpam-3368	151	12	s	s	PROPN
ejpam-3368	151	13	,	,	PUNCT
ejpam-3368	151	14	d	d	NOUN
ejpam-3368	151	15	)	)	PUNCT
ejpam-3368	151	16	is	be	AUX
ejpam-3368	151	17	a	a	DET
ejpam-3368	151	18	dg	dg	NOUN
ejpam-3368	151	19	poisson	poisson	NOUN
ejpam-3368	151	20	hopf	hopf	PROPN
ejpam-3368	151	21	algebra	algebra	PROPN
ejpam-3368	151	22	,	,	PUNCT
ejpam-3368	151	23	we	we	PRON
ejpam-3368	151	24	have	have	VERB
ejpam-3368	151	25	that	that	PRON
ejpam-3368	151	26	ε	ε	PROPN
ejpam-3368	151	27	is	be	AUX
ejpam-3368	151	28	a	a	DET
ejpam-3368	151	29	graded	grade	VERB
ejpam-3368	151	30	algebra	algebra	NOUN
ejpam-3368	151	31	homomorphism	homomorphism	NOUN
ejpam-3368	151	32	.	.	PUNCT
ejpam-3368	152	1	the	the	DET
ejpam-3368	152	2	fact	fact	NOUN
ejpam-3368	152	3	(	(	PUNCT
ejpam-3368	152	4	m	m	NOUN
ejpam-3368	152	5	,	,	PUNCT
ejpam-3368	152	6	◦	◦	NOUN
ejpam-3368	152	7	)	)	PUNCT
ejpam-3368	152	8	is	be	AUX
ejpam-3368	152	9	a	a	DET
ejpam-3368	152	10	left	left	ADJ
ejpam-3368	152	11	z	z	NOUN
ejpam-3368	152	12	-	-	PUNCT
ejpam-3368	152	13	graded	grade	VERB
ejpam-3368	152	14	module	module	NOUN
ejpam-3368	152	15	over	over	ADP
ejpam-3368	152	16	a	a	PRON
ejpam-3368	152	17	is	be	AUX
ejpam-3368	152	18	straightforward	straightforward	ADJ
ejpam-3368	152	19	and	and	CCONJ
ejpam-3368	152	20	follows	follow	VERB
ejpam-3368	152	21	easily	easily	ADV
ejpam-3368	152	22	from	from	ADP
ejpam-3368	152	23	the	the	DET
ejpam-3368	152	24	definition	definition	NOUN
ejpam-3368	152	25	of	of	ADP
ejpam-3368	152	26	a	a	DET
ejpam-3368	152	27	graded	grade	VERB
ejpam-3368	152	28	module	module	NOUN
ejpam-3368	152	29	.	.	PUNCT
ejpam-3368	153	1	now	now	ADV
ejpam-3368	153	2	,	,	PUNCT
ejpam-3368	153	3	let	let	VERB
ejpam-3368	153	4	us	we	PRON
ejpam-3368	153	5	prove	prove	VERB
ejpam-3368	153	6	that	that	SCONJ
ejpam-3368	153	7	(	(	PUNCT
ejpam-3368	153	8	m	m	NOUN
ejpam-3368	153	9	,	,	PUNCT
ejpam-3368	153	10	◦	◦	NOUN
ejpam-3368	153	11	,	,	PUNCT
ejpam-3368	153	12	∗	∗	NOUN
ejpam-3368	153	13	)	)	PUNCT
ejpam-3368	153	14	is	be	AUX
ejpam-3368	153	15	a	a	DET
ejpam-3368	153	16	left	left	ADJ
ejpam-3368	153	17	z	z	NOUN
ejpam-3368	153	18	-	-	PUNCT
ejpam-3368	153	19	graded	grade	VERB
ejpam-3368	153	20	poisson	poisson	NOUN
ejpam-3368	153	21	module	module	NOUN
ejpam-3368	153	22	over	over	ADP
ejpam-3368	153	23	the	the	DET
ejpam-3368	153	24	graded	grade	VERB
ejpam-3368	153	25	poisson	poisson	NOUN
ejpam-3368	153	26	algebra	algebra	PROPN
ejpam-3368	153	27	a.	a.	NOUN
ejpam-3368	153	28	by	by	ADP
ejpam-3368	153	29	lemma	lemma	PROPN
ejpam-3368	153	30	2	2	NUM
ejpam-3368	153	31	,	,	PUNCT
ejpam-3368	153	32	we	we	PRON
ejpam-3368	153	33	know	know	VERB
ejpam-3368	153	34	that	that	SCONJ
ejpam-3368	153	35	ε({a	ε({a	NOUN
ejpam-3368	153	36	,	,	PUNCT
ejpam-3368	153	37	b	b	NOUN
ejpam-3368	153	38	}	}	PUNCT
ejpam-3368	153	39	)	)	PUNCT
ejpam-3368	154	1	=	=	SYM
ejpam-3368	154	2	0	0	NUM
ejpam-3368	154	3	,	,	PUNCT
ejpam-3368	154	4	∀a	∀a	X
ejpam-3368	154	5	,	,	PUNCT
ejpam-3368	154	6	b	b	X
ejpam-3368	154	7	∈	∈	PROPN
ejpam-3368	154	8	a.	a.	NOUN
ejpam-3368	154	9	note	note	NOUN
ejpam-3368	154	10	that	that	SCONJ
ejpam-3368	154	11	k	k	PROPN
ejpam-3368	154	12	is	be	AUX
ejpam-3368	154	13	a	a	DET
ejpam-3368	154	14	trivial	trivial	ADJ
ejpam-3368	154	15	dg	dg	NOUN
ejpam-3368	154	16	poisson	poisson	NOUN
ejpam-3368	154	17	hopf	hopf	PROPN
ejpam-3368	154	18	algebra	algebra	NOUN
ejpam-3368	154	19	concentrated	concentrate	VERB
ejpam-3368	154	20	in	in	ADP
ejpam-3368	154	21	degree	degree	NOUN
ejpam-3368	154	22	0	0	NUM
ejpam-3368	154	23	with	with	ADP
ejpam-3368	154	24	trivial	trivial	ADJ
ejpam-3368	154	25	poisson	poisson	NOUN
ejpam-3368	154	26	bracket	bracket	NOUN
ejpam-3368	154	27	and	and	CCONJ
ejpam-3368	154	28	trivial	trivial	ADJ
ejpam-3368	154	29	differential	differential	NOUN
ejpam-3368	154	30	,	,	PUNCT
ejpam-3368	154	31	hence	hence	ADV
ejpam-3368	154	32	{	{	PUNCT
ejpam-3368	154	33	a	a	PRON
ejpam-3368	154	34	,	,	PUNCT
ejpam-3368	154	35	b}	b}	PROPN
ejpam-3368	154	36	◦	◦	NOUN
ejpam-3368	154	37	m+(−1)|a||b|b	m+(−1)|a||b|b	NOUN
ejpam-3368	154	38	◦	◦	NOUN
ejpam-3368	154	39	(a∗m	(a∗m	NOUN
ejpam-3368	154	40	)	)	PUNCT
ejpam-3368	154	41	=	=	SYM
ejpam-3368	154	42	ε({a	ε({a	PROPN
ejpam-3368	154	43	,	,	PUNCT
ejpam-3368	154	44	b})m+(−1)|a||b|ε(b)ada(m	b})m+(−1)|a||b|ε(b)ada(m	ADJ
ejpam-3368	154	45	)	)	PUNCT
ejpam-3368	154	46	=	=	SYM
ejpam-3368	154	47	ε(b)ada(m	ε(b)ada(m	NOUN
ejpam-3368	154	48	)	)	PUNCT
ejpam-3368	154	49	=	=	PUNCT
ejpam-3368	155	1	a∗(b	a∗(b	PROPN
ejpam-3368	155	2	◦	◦	NOUN
ejpam-3368	155	3	m	m	NOUN
ejpam-3368	155	4	)	)	PUNCT
ejpam-3368	155	5	.	.	PUNCT
ejpam-3368	156	1	for	for	ADP
ejpam-3368	156	2	any	any	DET
ejpam-3368	156	3	homogeneous	homogeneous	ADJ
ejpam-3368	156	4	elements	element	NOUN
ejpam-3368	156	5	a	a	PRON
ejpam-3368	156	6	,	,	PUNCT
ejpam-3368	156	7	b	b	X
ejpam-3368	156	8	∈	∈	PROPN
ejpam-3368	156	9	a	a	DET
ejpam-3368	156	10	,	,	PUNCT
ejpam-3368	156	11	m	m	NOUN
ejpam-3368	156	12	∈m	∈m	NOUN
ejpam-3368	156	13	,	,	PUNCT
ejpam-3368	156	14	we	we	PRON
ejpam-3368	156	15	have	have	VERB
ejpam-3368	156	16	(	(	PUNCT
ejpam-3368	156	17	ab	ab	ADJ
ejpam-3368	156	18	)	)	PUNCT
ejpam-3368	156	19	∗m	∗m	NOUN
ejpam-3368	156	20	=	=	SYM
ejpam-3368	156	21	adab(m	adab(m	PROPN
ejpam-3368	156	22	)	)	PUNCT
ejpam-3368	156	23	=	=	SYM
ejpam-3368	156	24	ε(a)adb(m	ε(a)adb(m	NOUN
ejpam-3368	156	25	)	)	PUNCT
ejpam-3368	157	1	+	+	CCONJ
ejpam-3368	157	2	(	(	PUNCT
ejpam-3368	157	3	−1)|a||b|ε(b)ada(m	−1)|a||b|ε(b)ada(m	NOUN
ejpam-3368	157	4	)	)	PUNCT
ejpam-3368	157	5	=	=	SYM
ejpam-3368	158	1	a	a	DET
ejpam-3368	158	2	◦	◦	NOUN
ejpam-3368	158	3	(	(	PUNCT
ejpam-3368	158	4	b	b	NOUN
ejpam-3368	158	5	∗m	∗m	NOUN
ejpam-3368	158	6	)	)	PUNCT
ejpam-3368	159	1	+	+	CCONJ
ejpam-3368	159	2	(	(	PUNCT
ejpam-3368	159	3	−1)|a||b|b	−1)|a||b|b	NOUN
ejpam-3368	159	4	◦	◦	NOUN
ejpam-3368	159	5	(	(	PUNCT
ejpam-3368	159	6	a	a	DET
ejpam-3368	159	7	∗m	∗m	NOUN
ejpam-3368	159	8	)	)	PUNCT
ejpam-3368	159	9	and	and	CCONJ
ejpam-3368	159	10	{	{	PUNCT
ejpam-3368	159	11	a	a	X
ejpam-3368	159	12	,	,	PUNCT
ejpam-3368	159	13	b}∗m	b}∗m	PUNCT
ejpam-3368	159	14	=	=	SYM
ejpam-3368	159	15	ad{a	ad{a	PROPN
ejpam-3368	159	16	,	,	PUNCT
ejpam-3368	159	17	b}(m	b}(m	NOUN
ejpam-3368	159	18	)	)	PUNCT
ejpam-3368	159	19	=	=	PUNCT
ejpam-3368	160	1	adaadb(m)−(−1)|a||b|adbada(m	adaadb(m)−(−1)|a||b|adbada(m	NOUN
ejpam-3368	160	2	)	)	PUNCT
ejpam-3368	160	3	=	=	PUNCT
ejpam-3368	160	4	a∗(b∗m)−(−1)|a||b|b∗(a∗m	a∗(b∗m)−(−1)|a||b|b∗(a∗m	X
ejpam-3368	160	5	)	)	PUNCT
ejpam-3368	160	6	by	by	ADP
ejpam-3368	160	7	lemmas	lemmas	PROPN
ejpam-3368	160	8	4	4	NUM
ejpam-3368	160	9	and	and	CCONJ
ejpam-3368	160	10	5	5	NUM
ejpam-3368	160	11	.	.	PUNCT
ejpam-3368	161	1	thus	thus	ADV
ejpam-3368	161	2	(	(	PUNCT
ejpam-3368	161	3	m	m	NOUN
ejpam-3368	161	4	,	,	PUNCT
ejpam-3368	161	5	◦	◦	NOUN
ejpam-3368	161	6	,	,	PUNCT
ejpam-3368	161	7	∗	∗	NOUN
ejpam-3368	161	8	)	)	PUNCT
ejpam-3368	161	9	is	be	AUX
ejpam-3368	161	10	a	a	DET
ejpam-3368	161	11	left	left	ADJ
ejpam-3368	161	12	z	z	NOUN
ejpam-3368	161	13	-	-	PUNCT
ejpam-3368	161	14	graded	grade	VERB
ejpam-3368	161	15	poisson	poisson	NOUN
ejpam-3368	161	16	module	module	NOUN
ejpam-3368	161	17	over	over	ADP
ejpam-3368	161	18	a.	a.	NOUN
ejpam-3368	161	19	references	reference	NOUN
ejpam-3368	161	20	22	22	NUM
ejpam-3368	161	21	finally	finally	ADV
ejpam-3368	161	22	,	,	PUNCT
ejpam-3368	161	23	we	we	PRON
ejpam-3368	161	24	show	show	VERB
ejpam-3368	161	25	that	that	SCONJ
ejpam-3368	161	26	the	the	DET
ejpam-3368	161	27	differential	differential	NOUN
ejpam-3368	161	28	∂	∂	NOUN
ejpam-3368	161	29	satisfies	satisfie	NOUN
ejpam-3368	161	30	the	the	DET
ejpam-3368	161	31	corresponding	corresponding	ADJ
ejpam-3368	161	32	conditions	condition	NOUN
ejpam-3368	161	33	.	.	PUNCT
ejpam-3368	162	1	for	for	ADP
ejpam-3368	162	2	any	any	DET
ejpam-3368	162	3	homogeneous	homogeneous	ADJ
ejpam-3368	162	4	elements	element	NOUN
ejpam-3368	162	5	a	a	DET
ejpam-3368	162	6	∈	∈	PROPN
ejpam-3368	162	7	a	a	DET
ejpam-3368	162	8	,	,	PUNCT
ejpam-3368	162	9	m	m	NOUN
ejpam-3368	162	10	∈m	∈m	NOUN
ejpam-3368	162	11	,	,	PUNCT
ejpam-3368	162	12	we	we	PRON
ejpam-3368	162	13	have	have	VERB
ejpam-3368	162	14	on	on	ADP
ejpam-3368	162	15	one	one	NUM
ejpam-3368	162	16	hand	hand	NOUN
ejpam-3368	162	17	:	:	PUNCT
ejpam-3368	162	18	d(a	d(a	PROPN
ejpam-3368	162	19	)	)	PUNCT
ejpam-3368	162	20	◦	◦	NOUN
ejpam-3368	162	21	m+	m+	NUM
ejpam-3368	162	22	(	(	PUNCT
ejpam-3368	162	23	−1)|a|a	−1)|a|a	NOUN
ejpam-3368	162	24	◦	◦	NOUN
ejpam-3368	162	25	∂(m	∂(m	PROPN
ejpam-3368	162	26	)	)	PUNCT
ejpam-3368	163	1	=	=	PUNCT
ejpam-3368	163	2	ε(d(a))m+	ε(d(a))m+	PROPN
ejpam-3368	163	3	(	(	PUNCT
ejpam-3368	163	4	−1)|a|ε(a)∂(m	−1)|a|ε(a)∂(m	NUM
ejpam-3368	163	5	)	)	PUNCT
ejpam-3368	163	6	=	=	PUNCT
ejpam-3368	163	7	ε(a)∂(m	ε(a)∂(m	PROPN
ejpam-3368	163	8	)	)	PUNCT
ejpam-3368	163	9	=	=	PUNCT
ejpam-3368	163	10	∂(a	∂(a	PROPN
ejpam-3368	163	11	◦	◦	NOUN
ejpam-3368	163	12	m	m	PROPN
ejpam-3368	163	13	)	)	PUNCT
ejpam-3368	163	14	,	,	PUNCT
ejpam-3368	163	15	since	since	SCONJ
ejpam-3368	163	16	εd	εd	NOUN
ejpam-3368	163	17	=	=	SYM
ejpam-3368	163	18	0	0	PUNCT
ejpam-3368	163	19	and	and	CCONJ
ejpam-3368	163	20	k	k	PROPN
ejpam-3368	163	21	is	be	AUX
ejpam-3368	163	22	a	a	DET
ejpam-3368	163	23	trivial	trivial	ADJ
ejpam-3368	163	24	dg	dg	NOUN
ejpam-3368	163	25	poisson	poisson	NOUN
ejpam-3368	163	26	hopf	hopf	PROPN
ejpam-3368	163	27	algebra	algebra	NOUN
ejpam-3368	163	28	concentrated	concentrate	VERB
ejpam-3368	163	29	in	in	ADP
ejpam-3368	163	30	degree	degree	NOUN
ejpam-3368	163	31	0	0	NUM
ejpam-3368	163	32	;	;	PUNCT
ejpam-3368	163	33	and	and	CCONJ
ejpam-3368	163	34	on	on	ADP
ejpam-3368	163	35	the	the	DET
ejpam-3368	163	36	other	other	ADJ
ejpam-3368	163	37	hand	hand	NOUN
ejpam-3368	163	38	:	:	PUNCT
ejpam-3368	163	39	∂(a	∂(a	PROPN
ejpam-3368	163	40	∗m	∗m	NOUN
ejpam-3368	163	41	)	)	PUNCT
ejpam-3368	163	42	=	=	SYM
ejpam-3368	163	43	∂(ada(m	∂(ada(m	NOUN
ejpam-3368	163	44	)	)	PUNCT
ejpam-3368	163	45	)	)	PUNCT
ejpam-3368	164	1	=	=	SYM
ejpam-3368	164	2	∂	∂	NUM
ejpam-3368	164	3	(	(	PUNCT
ejpam-3368	164	4	∑	∑	PROPN
ejpam-3368	164	5	(	(	PUNCT
ejpam-3368	164	6	a	a	NOUN
ejpam-3368	164	7	)	)	PUNCT
ejpam-3368	164	8	(	(	PUNCT
ejpam-3368	164	9	−1)|a(1)||a(2)|s(a(2)){a(1),m	−1)|a(1)||a(2)|s(a(2)){a(1),m	PROPN
ejpam-3368	164	10	}	}	PUNCT
ejpam-3368	164	11	)	)	PUNCT
ejpam-3368	164	12	=	=	PUNCT
ejpam-3368	164	13	∑	∑	PUNCT
ejpam-3368	164	14	(	(	PUNCT
ejpam-3368	164	15	a	a	NOUN
ejpam-3368	164	16	)	)	PUNCT
ejpam-3368	164	17	(	(	PUNCT
ejpam-3368	164	18	−1)|a(1)||a(2)|(ds(a(2)){a(1),m}+	−1)|a(1)||a(2)|(ds(a(2)){a(1),m}+	PROPN
ejpam-3368	164	19	(	(	PUNCT
ejpam-3368	164	20	−1)|a(2)|s(a(2))∂({a(1),m	−1)|a(2)|s(a(2))∂({a(1),m	NOUN
ejpam-3368	164	21	}	}	PUNCT
ejpam-3368	164	22	)	)	PUNCT
ejpam-3368	164	23	)	)	PUNCT
ejpam-3368	165	1	=	=	PUNCT
ejpam-3368	165	2	∑	∑	PUNCT
ejpam-3368	165	3	(	(	PUNCT
ejpam-3368	165	4	a	a	NOUN
ejpam-3368	165	5	)	)	PUNCT
ejpam-3368	165	6	(	(	PUNCT
ejpam-3368	165	7	−1)|a(1)||a(2)|sd(a(2)){a(1),m	−1)|a(1)||a(2)|sd(a(2)){a(1),m	PROPN
ejpam-3368	165	8	}	}	PUNCT
ejpam-3368	165	9	+	+	CCONJ
ejpam-3368	165	10	∑	∑	PUNCT
ejpam-3368	165	11	(	(	PUNCT
ejpam-3368	165	12	a	a	NOUN
ejpam-3368	165	13	)	)	PUNCT
ejpam-3368	165	14	(	(	PUNCT
ejpam-3368	165	15	−1)|a(1)||a(2)|+|a(2)|s(a(2))[{d(a(1)),m}+	−1)|a(1)||a(2)|+|a(2)|s(a(2))[{d(a(1)),m}+	CCONJ
ejpam-3368	165	16	(	(	PUNCT
ejpam-3368	165	17	−1)|a(1)|{a(1	−1)|a(1)|{a(1	PROPN
ejpam-3368	165	18	)	)	PUNCT
ejpam-3368	165	19	,	,	PUNCT
ejpam-3368	165	20	∂(m	∂(m	PROPN
ejpam-3368	165	21	)	)	PUNCT
ejpam-3368	165	22	}	}	PUNCT
ejpam-3368	165	23	]	]	PUNCT
ejpam-3368	165	24	,	,	PUNCT
ejpam-3368	165	25	d(a	d(a	PROPN
ejpam-3368	165	26	)	)	PUNCT
ejpam-3368	165	27	∗m+	∗m+	PROPN
ejpam-3368	165	28	(	(	PUNCT
ejpam-3368	165	29	−1)|a|a	−1)|a|a	NOUN
ejpam-3368	165	30	∗	∗	NOUN
ejpam-3368	165	31	∂(m	∂(m	PROPN
ejpam-3368	165	32	)	)	PUNCT
ejpam-3368	165	33	=	=	PUNCT
ejpam-3368	165	34	add(a)(m	add(a)(m	VERB
ejpam-3368	165	35	)	)	PUNCT
ejpam-3368	165	36	+	+	CCONJ
ejpam-3368	165	37	(	(	PUNCT
ejpam-3368	165	38	−1)|a|ada(∂(m	−1)|a|ada(∂(m	NUM
ejpam-3368	165	39	)	)	PUNCT
ejpam-3368	165	40	)	)	PUNCT
ejpam-3368	166	1	=	=	PUNCT
ejpam-3368	166	2	∑	∑	PUNCT
ejpam-3368	166	3	(	(	PUNCT
ejpam-3368	166	4	a	a	NOUN
ejpam-3368	166	5	)	)	PUNCT
ejpam-3368	166	6	(	(	PUNCT
ejpam-3368	166	7	−1)|d(a(1))||a(2)|s(a(2)){d(a(1)),m}+	−1)|d(a(1))||a(2)|s(a(2)){d(a(1)),m}+	PROPN
ejpam-3368	166	8	∑	∑	PROPN
ejpam-3368	166	9	(	(	PUNCT
ejpam-3368	166	10	a	a	NOUN
ejpam-3368	166	11	)	)	PUNCT
ejpam-3368	166	12	(	(	PUNCT
ejpam-3368	166	13	−1)|a(1)||d(a(2))|+||a(1)||sd(a(2)){a(1),m	−1)|a(1)||d(a(2))|+||a(1)||sd(a(2)){a(1),m	PROPN
ejpam-3368	166	14	}	}	PUNCT
ejpam-3368	166	15	+	+	CCONJ
ejpam-3368	166	16	(	(	PUNCT
ejpam-3368	166	17	−1)|a|	−1)|a|	X
ejpam-3368	166	18	(	(	PUNCT
ejpam-3368	166	19	∑	∑	PROPN
ejpam-3368	166	20	(	(	PUNCT
ejpam-3368	166	21	a	a	NOUN
ejpam-3368	166	22	)	)	PUNCT
ejpam-3368	166	23	(	(	PUNCT
ejpam-3368	166	24	−1)|a(1)||a(2)|s(a(2)){a(1	−1)|a(1)||a(2)|s(a(2)){a(1	NOUN
ejpam-3368	166	25	)	)	PUNCT
ejpam-3368	166	26	,	,	PUNCT
ejpam-3368	166	27	∂(m	∂(m	PROPN
ejpam-3368	166	28	)	)	PUNCT
ejpam-3368	166	29	}	}	PUNCT
ejpam-3368	166	30	)	)	PUNCT
ejpam-3368	166	31	by	by	ADP
ejpam-3368	166	32	lemma	lemma	PROPN
ejpam-3368	166	33	2	2	NUM
ejpam-3368	166	34	and	and	CCONJ
ejpam-3368	166	35	the	the	DET
ejpam-3368	166	36	following	follow	VERB
ejpam-3368	166	37	identity	identity	NOUN
ejpam-3368	166	38	:	:	PUNCT
ejpam-3368	166	39	∆d(a	∆d(a	NUM
ejpam-3368	166	40	)	)	PUNCT
ejpam-3368	167	1	=	=	PUNCT
ejpam-3368	168	1	d(a(1))⊗	d(a(1))⊗	PROPN
ejpam-3368	168	2	a(2	a(2	PROPN
ejpam-3368	168	3	)	)	PUNCT
ejpam-3368	169	1	+	+	CCONJ
ejpam-3368	169	2	(	(	PUNCT
ejpam-3368	169	3	−1)|a(1)|a(1	−1)|a(1)|a(1	NOUN
ejpam-3368	169	4	)	)	PUNCT
ejpam-3368	169	5	⊗	⊗	PROPN
ejpam-3368	169	6	d(a(2	d(a(2	PROPN
ejpam-3368	169	7	)	)	PUNCT
ejpam-3368	169	8	)	)	PUNCT
ejpam-3368	169	9	.	.	PUNCT
ejpam-3368	170	1	hence	hence	ADV
ejpam-3368	170	2	∂(a	∂(a	VERB
ejpam-3368	170	3	∗m	∗m	NOUN
ejpam-3368	170	4	)	)	PUNCT
ejpam-3368	171	1	=	=	SYM
ejpam-3368	171	2	d(a	d(a	PROPN
ejpam-3368	171	3	)	)	PUNCT
ejpam-3368	171	4	∗m+	∗m+	PROPN
ejpam-3368	171	5	(	(	PUNCT
ejpam-3368	171	6	−1)|a|a	−1)|a|a	NOUN
ejpam-3368	171	7	∗	∗	NOUN
ejpam-3368	171	8	∂(m	∂(m	PROPN
ejpam-3368	171	9	)	)	PUNCT
ejpam-3368	171	10	.	.	PUNCT
ejpam-3368	172	1	therefore	therefore	ADV
ejpam-3368	172	2	(	(	PUNCT
ejpam-3368	172	3	m	m	NOUN
ejpam-3368	172	4	,	,	PUNCT
ejpam-3368	172	5	◦	◦	NOUN
ejpam-3368	172	6	,	,	PUNCT
ejpam-3368	172	7	∗	∗	NOUN
ejpam-3368	172	8	,	,	PUNCT
ejpam-3368	172	9	∂	∂	NUM
ejpam-3368	172	10	)	)	PUNCT
ejpam-3368	172	11	is	be	AUX
ejpam-3368	172	12	a	a	DET
ejpam-3368	172	13	dg	dg	NOUN
ejpam-3368	172	14	poisson	poisson	NOUN
ejpam-3368	172	15	a	a	NOUN
ejpam-3368	172	16	-	-	PUNCT
ejpam-3368	172	17	module	module	NOUN
ejpam-3368	172	18	.	.	PUNCT
ejpam-3368	173	1	references	reference	NOUN
ejpam-3368	173	2	[	[	X
ejpam-3368	173	3	1	1	X
ejpam-3368	173	4	]	]	PUNCT
ejpam-3368	173	5	k.	k.	PROPN
ejpam-3368	173	6	a.	a.	PROPN
ejpam-3368	173	7	brown	brown	PROPN
ejpam-3368	173	8	and	and	CCONJ
ejpam-3368	173	9	i.	i.	PROPN
ejpam-3368	173	10	gordon	gordon	PROPN
ejpam-3368	173	11	,	,	PUNCT
ejpam-3368	173	12	poisson	poisson	NOUN
ejpam-3368	173	13	orders	order	NOUN
ejpam-3368	173	14	,	,	PUNCT
ejpam-3368	173	15	symplectic	symplectic	ADJ
ejpam-3368	173	16	reflection	reflection	NOUN
ejpam-3368	173	17	algebras	algebra	NOUN
ejpam-3368	173	18	and	and	CCONJ
ejpam-3368	173	19	representation	representation	NOUN
ejpam-3368	173	20	theory	theory	NOUN
ejpam-3368	173	21	,	,	PUNCT
ejpam-3368	173	22	j.	j.	PROPN
ejpam-3368	173	23	reine	reine	PROPN
ejpam-3368	173	24	angew	angew	PROPN
ejpam-3368	173	25	.	.	PUNCT
ejpam-3368	174	1	math	math	NOUN
ejpam-3368	174	2	.	.	PUNCT
ejpam-3368	175	1	559	559	NUM
ejpam-3368	175	2	(	(	PUNCT
ejpam-3368	175	3	2003	2003	NUM
ejpam-3368	175	4	)	)	PUNCT
ejpam-3368	175	5	,	,	PUNCT
ejpam-3368	175	6	193–216	193–216	NUM
ejpam-3368	175	7	.	.	PUNCT
ejpam-3368	176	1	[	[	X
ejpam-3368	176	2	2	2	X
ejpam-3368	176	3	]	]	PUNCT
ejpam-3368	176	4	j.	j.	PROPN
ejpam-3368	176	5	m.	m.	PROPN
ejpam-3368	176	6	casas	casas	PROPN
ejpam-3368	176	7	and	and	CCONJ
ejpam-3368	176	8	t.	t.	PROPN
ejpam-3368	176	9	datuashvili	datuashvili	PROPN
ejpam-3368	176	10	,	,	PUNCT
ejpam-3368	176	11	noncommutative	noncommutative	PROPN
ejpam-3368	176	12	leibniz	leibniz	PROPN
ejpam-3368	176	13	-	-	PUNCT
ejpam-3368	176	14	poisson	poisson	PROPN
ejpam-3368	176	15	algebras	algebra	NOUN
ejpam-3368	176	16	,	,	PUNCT
ejpam-3368	176	17	comm	comm	NOUN
ejpam-3368	176	18	.	.	PUNCT
ejpam-3368	177	1	algebra	algebra	PROPN
ejpam-3368	177	2	34(7	34(7	NUM
ejpam-3368	177	3	)	)	PUNCT
ejpam-3368	177	4	(	(	PUNCT
ejpam-3368	177	5	2006	2006	NUM
ejpam-3368	177	6	)	)	PUNCT
ejpam-3368	177	7	,	,	PUNCT
ejpam-3368	177	8	2507–2530	2507–2530	NUM
ejpam-3368	177	9	.	.	PUNCT
ejpam-3368	178	1	[	[	X
ejpam-3368	178	2	3	3	X
ejpam-3368	178	3	]	]	X
ejpam-3368	178	4	j.	j.	PROPN
ejpam-3368	178	5	m.	m.	PROPN
ejpam-3368	178	6	casas	casas	PROPN
ejpam-3368	178	7	,	,	PUNCT
ejpam-3368	178	8	t.	t.	PROPN
ejpam-3368	178	9	datuashvili	datuashvili	PROPN
ejpam-3368	178	10	and	and	CCONJ
ejpam-3368	178	11	m.	m.	NOUN
ejpam-3368	178	12	ladra	ladra	PROPN
ejpam-3368	178	13	,	,	PUNCT
ejpam-3368	178	14	left	left	ADJ
ejpam-3368	178	15	-	-	PUNCT
ejpam-3368	178	16	right	right	NOUN
ejpam-3368	178	17	noncommutative	noncommutative	ADJ
ejpam-3368	178	18	poisson	poisson	PROPN
ejpam-3368	178	19	algebras	algebras	PROPN
ejpam-3368	178	20	,	,	PUNCT
ejpam-3368	178	21	cent	cent	NOUN
ejpam-3368	178	22	.	.	PUNCT
ejpam-3368	179	1	eur	eur	PROPN
ejpam-3368	179	2	.	.	PUNCT
ejpam-3368	180	1	j.	j.	PROPN
ejpam-3368	180	2	math	math	PROPN
ejpam-3368	180	3	.	.	PUNCT
ejpam-3368	181	1	12(1	12(1	NUM
ejpam-3368	181	2	)	)	PUNCT
ejpam-3368	181	3	(	(	PUNCT
ejpam-3368	181	4	2014	2014	NUM
ejpam-3368	181	5	)	)	PUNCT
ejpam-3368	181	6	,	,	PUNCT
ejpam-3368	181	7	57–78	57–78	NUM
ejpam-3368	181	8	.	.	PUNCT
ejpam-3368	182	1	references	reference	NOUN
ejpam-3368	182	2	23	23	NUM
ejpam-3368	183	1	[	[	SYM
ejpam-3368	183	2	4	4	NUM
ejpam-3368	183	3	]	]	PUNCT
ejpam-3368	183	4	a.	a.	PROPN
ejpam-3368	183	5	s.	s.	PROPN
ejpam-3368	183	6	cattaneo	cattaneo	PROPN
ejpam-3368	183	7	,	,	PUNCT
ejpam-3368	183	8	d.	d.	PROPN
ejpam-3368	183	9	fiorenza	fiorenza	PROPN
ejpam-3368	183	10	and	and	CCONJ
ejpam-3368	183	11	r.	r.	PROPN
ejpam-3368	183	12	longoni	longoni	PROPN
ejpam-3368	183	13	,	,	PUNCT
ejpam-3368	183	14	graded	grade	VERB
ejpam-3368	183	15	poisson	poisson	NOUN
ejpam-3368	183	16	algebras	algebras	PROPN
ejpam-3368	183	17	,	,	PUNCT
ejpam-3368	183	18	encyclopedia	encyclopedia	NOUN
ejpam-3368	183	19	math	math	NOUN
ejpam-3368	183	20	.	.	PUNCT
ejpam-3368	184	1	phy	phy	PROPN
ejpam-3368	184	2	.	.	PUNCT
ejpam-3368	184	3	(	(	PUNCT
ejpam-3368	184	4	2006	2006	NUM
ejpam-3368	184	5	)	)	PUNCT
ejpam-3368	184	6	,	,	PUNCT
ejpam-3368	184	7	560–567	560–567	NUM
ejpam-3368	184	8	.	.	PUNCT
ejpam-3368	185	1	[	[	X
ejpam-3368	185	2	5	5	NUM
ejpam-3368	185	3	]	]	PUNCT
ejpam-3368	185	4	m.-t	m.-t	NOUN
ejpam-3368	185	5	.	.	PUNCT
ejpam-3368	186	1	guo	guo	PROPN
ejpam-3368	186	2	,	,	PUNCT
ejpam-3368	186	3	x.-g	x.-g	PROPN
ejpam-3368	186	4	.	.	PUNCT
ejpam-3368	187	1	hu	hu	PROPN
ejpam-3368	187	2	,	,	PUNCT
ejpam-3368	187	3	j.-f	j.-f	PROPN
ejpam-3368	187	4	.	.	PUNCT
ejpam-3368	188	1	lü	lü	PUNCT
ejpam-3368	189	1	and	and	CCONJ
ejpam-3368	189	2	x.-t	x.-t	NOUN
ejpam-3368	189	3	.	.	PUNCT
ejpam-3368	190	1	wang	wang	PROPN
ejpam-3368	190	2	,	,	PUNCT
ejpam-3368	190	3	the	the	DET
ejpam-3368	190	4	structures	structure	NOUN
ejpam-3368	190	5	on	on	ADP
ejpam-3368	190	6	the	the	DET
ejpam-3368	190	7	universal	universal	ADJ
ejpam-3368	190	8	enveloping	enveloping	NOUN
ejpam-3368	190	9	algebras	algebra	NOUN
ejpam-3368	190	10	of	of	ADP
ejpam-3368	190	11	differential	differential	NOUN
ejpam-3368	190	12	graded	grade	VERB
ejpam-3368	190	13	poisson	poisson	NOUN
ejpam-3368	190	14	hopf	hopf	PROPN
ejpam-3368	190	15	algebras	algebras	PROPN
ejpam-3368	190	16	,	,	PUNCT
ejpam-3368	190	17	comm	comm	NOUN
ejpam-3368	190	18	.	.	PUNCT
ejpam-3368	191	1	algebra	algebra	NOUN
ejpam-3368	191	2	46(6	46(6	NOUN
ejpam-3368	191	3	)	)	PUNCT
ejpam-3368	191	4	(	(	PUNCT
ejpam-3368	191	5	2018	2018	NUM
ejpam-3368	191	6	)	)	PUNCT
ejpam-3368	191	7	,	,	PUNCT
ejpam-3368	191	8	2714–2729	2714–2729	NUM
ejpam-3368	191	9	.	.	PUNCT
ejpam-3368	192	1	[	[	X
ejpam-3368	192	2	6	6	NUM
ejpam-3368	192	3	]	]	PUNCT
ejpam-3368	192	4	m.	m.	PROPN
ejpam-3368	192	5	d.	d.	PROPN
ejpam-3368	192	6	gould	gould	PROPN
ejpam-3368	192	7	,	,	PUNCT
ejpam-3368	192	8	r.	r.	PROPN
ejpam-3368	192	9	b.	b.	PROPN
ejpam-3368	192	10	zhang	zhang	PROPN
ejpam-3368	192	11	and	and	CCONJ
ejpam-3368	192	12	a.	a.	PROPN
ejpam-3368	192	13	j.	j.	PROPN
ejpam-3368	192	14	bracken	bracken	PROPN
ejpam-3368	192	15	,	,	PUNCT
ejpam-3368	192	16	quantum	quantum	X
ejpam-3368	192	17	double	double	ADJ
ejpam-3368	192	18	construction	construction	NOUN
ejpam-3368	192	19	for	for	ADP
ejpam-3368	192	20	graded	grade	VERB
ejpam-3368	192	21	hopf	hopf	ADJ
ejpam-3368	192	22	algebras	algebra	NOUN
ejpam-3368	192	23	,	,	PUNCT
ejpam-3368	192	24	j.	j.	PROPN
ejpam-3368	192	25	bull	bull	PROPN
ejpam-3368	192	26	.	.	PUNCT
ejpam-3368	193	1	austral	austral	PROPN
ejpam-3368	193	2	.	.	PUNCT
ejpam-3368	194	1	math	math	NOUN
ejpam-3368	194	2	.	.	PUNCT
ejpam-3368	195	1	soc	soc	PROPN
ejpam-3368	195	2	.	.	PUNCT
ejpam-3368	196	1	47	47	NUM
ejpam-3368	196	2	(	(	PUNCT
ejpam-3368	196	3	1993	1993	NUM
ejpam-3368	196	4	)	)	PUNCT
ejpam-3368	196	5	,	,	PUNCT
ejpam-3368	196	6	353–375	353–375	NUM
ejpam-3368	196	7	.	.	PUNCT
ejpam-3368	197	1	[	[	X
ejpam-3368	197	2	7	7	NUM
ejpam-3368	197	3	]	]	PUNCT
ejpam-3368	197	4	j.-f	j.-f	NOUN
ejpam-3368	197	5	.	.	PUNCT
ejpam-3368	198	1	lü	lü	PUNCT
ejpam-3368	198	2	,	,	PUNCT
ejpam-3368	198	3	x.	x.	PROPN
ejpam-3368	198	4	wang	wang	PROPN
ejpam-3368	198	5	and	and	CCONJ
ejpam-3368	198	6	g.-b	g.-b	PROPN
ejpam-3368	198	7	.	.	PUNCT
ejpam-3368	199	1	zhuang	zhuang	PROPN
ejpam-3368	199	2	,	,	PUNCT
ejpam-3368	199	3	universal	universal	ADJ
ejpam-3368	199	4	enveloping	enveloping	NOUN
ejpam-3368	199	5	algebras	algebra	NOUN
ejpam-3368	199	6	of	of	ADP
ejpam-3368	199	7	poisson	poisson	PROPN
ejpam-3368	199	8	hopf	hopf	PROPN
ejpam-3368	199	9	algebras	algebras	PROPN
ejpam-3368	199	10	,	,	PUNCT
ejpam-3368	199	11	j.	j.	PROPN
ejpam-3368	199	12	algebra	algebra	PROPN
ejpam-3368	199	13	426	426	NUM
ejpam-3368	199	14	(	(	PUNCT
ejpam-3368	199	15	2015	2015	NUM
ejpam-3368	199	16	)	)	PUNCT
ejpam-3368	199	17	,	,	PUNCT
ejpam-3368	199	18	92–136	92–136	NUM
ejpam-3368	199	19	.	.	PUNCT
ejpam-3368	200	1	[	[	X
ejpam-3368	200	2	8	8	NUM
ejpam-3368	200	3	]	]	PUNCT
ejpam-3368	200	4	j.-f	j.-f	NOUN
ejpam-3368	200	5	.	.	PUNCT
ejpam-3368	201	1	lü	lü	PUNCT
ejpam-3368	201	2	,	,	PUNCT
ejpam-3368	201	3	x.	x.	PROPN
ejpam-3368	201	4	wang	wang	PROPN
ejpam-3368	201	5	and	and	CCONJ
ejpam-3368	201	6	g.-b	g.-b	PROPN
ejpam-3368	201	7	.	.	PUNCT
ejpam-3368	202	1	zhuang	zhuang	PROPN
ejpam-3368	202	2	,	,	PUNCT
ejpam-3368	202	3	universal	universal	ADJ
ejpam-3368	202	4	enveloping	enveloping	NOUN
ejpam-3368	202	5	algebras	algebra	NOUN
ejpam-3368	202	6	of	of	ADP
ejpam-3368	202	7	poisson	poisson	PROPN
ejpam-3368	202	8	oreextensions	oreextension	NOUN
ejpam-3368	202	9	,	,	PUNCT
ejpam-3368	202	10	proc	proc	NOUN
ejpam-3368	202	11	.	.	PUNCT
ejpam-3368	203	1	amer	amer	PROPN
ejpam-3368	203	2	.	.	PUNCT
ejpam-3368	203	3	math	math	PROPN
ejpam-3368	203	4	.	.	PUNCT
ejpam-3368	204	1	soc	soc	PROPN
ejpam-3368	204	2	.	.	PUNCT
ejpam-3368	205	1	143	143	NUM
ejpam-3368	205	2	(	(	PUNCT
ejpam-3368	205	3	2015	2015	NUM
ejpam-3368	205	4	)	)	PUNCT
ejpam-3368	205	5	,	,	PUNCT
ejpam-3368	205	6	4633–4645	4633–4645	NUM
ejpam-3368	205	7	.	.	PUNCT
ejpam-3368	206	1	[	[	X
ejpam-3368	206	2	9	9	NUM
ejpam-3368	206	3	]	]	PUNCT
ejpam-3368	206	4	j.-f	j.-f	NOUN
ejpam-3368	206	5	.	.	PUNCT
ejpam-3368	207	1	lü	lü	PUNCT
ejpam-3368	207	2	,	,	PUNCT
ejpam-3368	207	3	x.	x.	PROPN
ejpam-3368	207	4	wang	wang	PROPN
ejpam-3368	207	5	and	and	CCONJ
ejpam-3368	207	6	g.-b	g.-b	PROPN
ejpam-3368	207	7	.	.	PUNCT
ejpam-3368	208	1	zhuang	zhuang	PROPN
ejpam-3368	208	2	,	,	PUNCT
ejpam-3368	208	3	dg	dg	PROPN
ejpam-3368	208	4	poisson	poisson	PROPN
ejpam-3368	208	5	algebra	algebra	PROPN
ejpam-3368	208	6	and	and	CCONJ
ejpam-3368	208	7	its	its	PRON
ejpam-3368	208	8	universal	universal	ADJ
ejpam-3368	208	9	enveloping	enveloping	NOUN
ejpam-3368	208	10	algebra	algebra	NOUN
ejpam-3368	208	11	,	,	PUNCT
ejpam-3368	208	12	sci	sci	PROPN
ejpam-3368	208	13	.	.	PUNCT
ejpam-3368	209	1	china	china	PROPN
ejpam-3368	209	2	math	math	PROPN
ejpam-3368	209	3	.	.	PUNCT
ejpam-3368	210	1	59	59	NUM
ejpam-3368	210	2	(	(	PUNCT
ejpam-3368	210	3	2016	2016	NUM
ejpam-3368	210	4	)	)	PUNCT
ejpam-3368	210	5	,	,	PUNCT
ejpam-3368	210	6	849–860	849–860	NUM
ejpam-3368	210	7	.	.	PUNCT
ejpam-3368	211	1	[	[	X
ejpam-3368	211	2	10	10	NUM
ejpam-3368	211	3	]	]	PUNCT
ejpam-3368	211	4	j.-f	j.-f	NOUN
ejpam-3368	211	5	.	.	PUNCT
ejpam-3368	212	1	lü	lü	X
ejpam-3368	212	2	,	,	PUNCT
ejpam-3368	212	3	s.-q	s.-q	PROPN
ejpam-3368	212	4	.	.	PUNCT
ejpam-3368	213	1	oh	oh	INTJ
ejpam-3368	213	2	,	,	PUNCT
ejpam-3368	213	3	x.	x.	PROPN
ejpam-3368	213	4	wang	wang	PROPN
ejpam-3368	213	5	and	and	CCONJ
ejpam-3368	213	6	x.-l	x.-l	PROPN
ejpam-3368	213	7	.	.	PUNCT
ejpam-3368	214	1	yu	yu	PROPN
ejpam-3368	214	2	,	,	PUNCT
ejpam-3368	214	3	enveloping	envelop	VERB
ejpam-3368	214	4	algebras	algebra	NOUN
ejpam-3368	214	5	of	of	ADP
ejpam-3368	214	6	double	double	ADJ
ejpam-3368	214	7	poisson	poisson	NOUN
ejpam-3368	214	8	-	-	PUNCT
ejpam-3368	214	9	ore	ore	NOUN
ejpam-3368	214	10	extensions	extension	NOUN
ejpam-3368	214	11	,	,	PUNCT
ejpam-3368	214	12	comm	comm	NOUN
ejpam-3368	214	13	.	.	PUNCT
ejpam-3368	215	1	algebra	algebra	NOUN
ejpam-3368	215	2	(	(	PUNCT
ejpam-3368	215	3	2018	2018	NUM
ejpam-3368	215	4	)	)	PUNCT
ejpam-3368	215	5	https://doi.org/10.1080/00927872.2018.1459643	https://doi.org/10.1080/00927872.2018.1459643	PROPN
ejpam-3368	215	6	.	.	PUNCT
ejpam-3368	216	1	[	[	X
ejpam-3368	216	2	11	11	NUM
ejpam-3368	216	3	]	]	PUNCT
ejpam-3368	216	4	j.	j.	PROPN
ejpam-3368	216	5	m.	m.	PROPN
ejpam-3368	216	6	milner	milner	PROPN
ejpam-3368	216	7	and	and	CCONJ
ejpam-3368	216	8	j.	j.	PROPN
ejpam-3368	216	9	c.	c.	PROPN
ejpam-3368	216	10	more	more	ADV
ejpam-3368	216	11	,	,	PUNCT
ejpam-3368	216	12	on	on	ADP
ejpam-3368	216	13	the	the	DET
ejpam-3368	216	14	structure	structure	NOUN
ejpam-3368	216	15	of	of	ADP
ejpam-3368	216	16	hopf	hopf	ADJ
ejpam-3368	216	17	algebras	algebras	X
ejpam-3368	216	18	,	,	PUNCT
ejpam-3368	216	19	ann	ann	PROPN
ejpam-3368	216	20	.	.	PROPN
ejpam-3368	216	21	math	math	PROPN
ejpam-3368	216	22	.	.	PUNCT
ejpam-3368	217	1	81	81	NUM
ejpam-3368	217	2	(	(	PUNCT
ejpam-3368	217	3	1965	1965	NUM
ejpam-3368	217	4	)	)	PUNCT
ejpam-3368	217	5	,	,	PUNCT
ejpam-3368	217	6	211–264	211–264	NUM
ejpam-3368	217	7	.	.	PUNCT
ejpam-3368	218	1	[	[	X
ejpam-3368	218	2	12	12	NUM
ejpam-3368	218	3	]	]	PUNCT
ejpam-3368	218	4	s.	s.	PROPN
ejpam-3368	218	5	p.	p.	PROPN
ejpam-3368	218	6	mishchenko	mishchenko	PROPN
ejpam-3368	218	7	,	,	PUNCT
ejpam-3368	218	8	v.	v.	ADP
ejpam-3368	218	9	m.	m.	NOUN
ejpam-3368	218	10	petrogradsky	petrogradsky	NOUN
ejpam-3368	218	11	and	and	CCONJ
ejpam-3368	218	12	a.	a.	NOUN
ejpam-3368	218	13	regev	regev	PROPN
ejpam-3368	218	14	,	,	PUNCT
ejpam-3368	218	15	poisson	poisson	PROPN
ejpam-3368	218	16	pi	pi	PROPN
ejpam-3368	218	17	algebras	algebras	PROPN
ejpam-3368	218	18	,	,	PUNCT
ejpam-3368	218	19	trans	trans	PROPN
ejpam-3368	218	20	.	.	PROPN
ejpam-3368	219	1	amer	amer	PROPN
ejpam-3368	219	2	.	.	PUNCT
ejpam-3368	219	3	math	math	PROPN
ejpam-3368	219	4	.	.	PUNCT
ejpam-3368	220	1	soc	soc	PROPN
ejpam-3368	220	2	.	.	PUNCT
ejpam-3368	221	1	359(10	359(10	NUM
ejpam-3368	221	2	)	)	PUNCT
ejpam-3368	221	3	(	(	PUNCT
ejpam-3368	221	4	2007	2007	NUM
ejpam-3368	221	5	)	)	PUNCT
ejpam-3368	221	6	,	,	PUNCT
ejpam-3368	221	7	4669–4694	4669–4694	NUM
ejpam-3368	221	8	.	.	PUNCT
ejpam-3368	222	1	[	[	X
ejpam-3368	222	2	13	13	NUM
ejpam-3368	222	3	]	]	PUNCT
ejpam-3368	222	4	s.-q	s.-q	PROPN
ejpam-3368	222	5	.	.	PUNCT
ejpam-3368	223	1	oh	oh	INTJ
ejpam-3368	223	2	,	,	PUNCT
ejpam-3368	223	3	poisson	poisson	PROPN
ejpam-3368	223	4	enveloping	envelop	VERB
ejpam-3368	223	5	algebras	algebra	NOUN
ejpam-3368	223	6	,	,	PUNCT
ejpam-3368	223	7	comm	comm	NOUN
ejpam-3368	223	8	.	.	PUNCT
ejpam-3368	224	1	algebra	algebra	NOUN
ejpam-3368	224	2	27	27	NUM
ejpam-3368	224	3	(	(	PUNCT
ejpam-3368	224	4	1999	1999	NUM
ejpam-3368	224	5	)	)	PUNCT
ejpam-3368	224	6	,	,	PUNCT
ejpam-3368	224	7	2181–2186	2181–2186	NUM
ejpam-3368	224	8	.	.	PUNCT
ejpam-3368	225	1	[	[	X
ejpam-3368	225	2	14	14	NUM
ejpam-3368	225	3	]	]	X
ejpam-3368	225	4	s.-q	s.-q	PROPN
ejpam-3368	225	5	.	.	PUNCT
ejpam-3368	226	1	oh	oh	INTJ
ejpam-3368	226	2	,	,	PUNCT
ejpam-3368	226	3	hopf	hopf	ADJ
ejpam-3368	226	4	structure	structure	NOUN
ejpam-3368	226	5	for	for	ADP
ejpam-3368	226	6	poisson	poisson	NOUN
ejpam-3368	226	7	enveloping	envelop	VERB
ejpam-3368	226	8	algebras	algebra	NOUN
ejpam-3368	226	9	,	,	PUNCT
ejpam-3368	226	10	beitrage	beitrage	NOUN
ejpam-3368	226	11	zur	zur	NOUN
ejpam-3368	226	12	algebra	algebra	NOUN
ejpam-3368	226	13	und	und	NOUN
ejpam-3368	226	14	geometrie	geometrie	NOUN
ejpam-3368	226	15	.	.	PUNCT
ejpam-3368	227	1	44(44	44(44	NOUN
ejpam-3368	227	2	)	)	PUNCT
ejpam-3368	227	3	(	(	PUNCT
ejpam-3368	227	4	2003	2003	NUM
ejpam-3368	227	5	)	)	PUNCT
ejpam-3368	227	6	,	,	PUNCT
ejpam-3368	227	7	567–574	567–574	NUM
ejpam-3368	227	8	.	.	PUNCT
ejpam-3368	228	1	[	[	X
ejpam-3368	228	2	15	15	NUM
ejpam-3368	228	3	]	]	X
ejpam-3368	228	4	s.-q	s.-q	PROPN
ejpam-3368	228	5	.	.	PUNCT
ejpam-3368	229	1	oh	oh	INTJ
ejpam-3368	229	2	,	,	PUNCT
ejpam-3368	229	3	poisson	poisson	PROPN
ejpam-3368	229	4	hopf	hopf	PROPN
ejpam-3368	229	5	algebra	algebra	NOUN
ejpam-3368	229	6	related	relate	VERB
ejpam-3368	229	7	to	to	ADP
ejpam-3368	229	8	a	a	DET
ejpam-3368	229	9	twisted	twisted	ADJ
ejpam-3368	229	10	quantum	quantum	NOUN
ejpam-3368	229	11	group	group	NOUN
ejpam-3368	229	12	,	,	PUNCT
ejpam-3368	229	13	comm	comm	NOUN
ejpam-3368	229	14	.	.	PUNCT
ejpam-3368	230	1	algebra	algebra	PROPN
ejpam-3368	230	2	45(1	45(1	PROPN
ejpam-3368	230	3	)	)	PUNCT
ejpam-3368	230	4	(	(	PUNCT
ejpam-3368	230	5	2016	2016	NUM
ejpam-3368	230	6	)	)	PUNCT
ejpam-3368	230	7	,	,	PUNCT
ejpam-3368	231	1	76–104	76–104	PROPN
ejpam-3368	231	2	.	.	PUNCT
ejpam-3368	232	1	[	[	X
ejpam-3368	232	2	16	16	NUM
ejpam-3368	232	3	]	]	PUNCT
ejpam-3368	232	4	s.-q	s.-q	PROPN
ejpam-3368	232	5	.	.	PUNCT
ejpam-3368	233	1	oh	oh	INTJ
ejpam-3368	233	2	,	,	PUNCT
ejpam-3368	233	3	c.-g	c.-g	ADJ
ejpam-3368	233	4	park	park	NOUN
ejpam-3368	233	5	and	and	CCONJ
ejpam-3368	233	6	y.-y	y.-y	NOUN
ejpam-3368	233	7	shin	shin	PROPN
ejpam-3368	233	8	,	,	PUNCT
ejpam-3368	233	9	a	a	DET
ejpam-3368	233	10	poincaré-birkhoff	poincaré-birkhoff	NOUN
ejpam-3368	233	11	-	-	PUNCT
ejpam-3368	233	12	witt	witt	VERB
ejpam-3368	233	13	theorem	theorem	NOUN
ejpam-3368	233	14	for	for	ADP
ejpam-3368	233	15	poisson	poisson	NOUN
ejpam-3368	233	16	enveloping	envelop	VERB
ejpam-3368	233	17	algebras	algebra	NOUN
ejpam-3368	233	18	,	,	PUNCT
ejpam-3368	233	19	comm	comm	NOUN
ejpam-3368	233	20	.	.	PUNCT
ejpam-3368	234	1	algebra	algebra	NOUN
ejpam-3368	234	2	30(10	30(10	NUM
ejpam-3368	234	3	)	)	PUNCT
ejpam-3368	234	4	(	(	PUNCT
ejpam-3368	234	5	2002	2002	NUM
ejpam-3368	234	6	)	)	PUNCT
ejpam-3368	234	7	,	,	PUNCT
ejpam-3368	234	8	4867–4887	4867–4887	NUM
ejpam-3368	234	9	.	.	PUNCT
ejpam-3368	235	1	[	[	X
ejpam-3368	235	2	17	17	NUM
ejpam-3368	235	3	]	]	PUNCT
ejpam-3368	235	4	m.	m.	PROPN
ejpam-3368	235	5	e.	e.	PROPN
ejpam-3368	235	6	sweedler	sweedler	PROPN
ejpam-3368	235	7	,	,	PUNCT
ejpam-3368	235	8	hopf	hopf	PROPN
ejpam-3368	235	9	algebras	algebras	PROPN
ejpam-3368	235	10	,	,	PUNCT
ejpam-3368	235	11	benjamin	benjamin	PROPN
ejpam-3368	235	12	,	,	PUNCT
ejpam-3368	235	13	new	new	PROPN
ejpam-3368	235	14	york	york	PROPN
ejpam-3368	235	15	,	,	PUNCT
ejpam-3368	235	16	1969	1969	NUM
ejpam-3368	235	17	.	.	PUNCT
ejpam-3368	236	1	[	[	X
ejpam-3368	236	2	18	18	NUM
ejpam-3368	236	3	]	]	X
ejpam-3368	236	4	u.	u.	PROPN
ejpam-3368	236	5	umirbaev	umirbaev	PROPN
ejpam-3368	236	6	,	,	PUNCT
ejpam-3368	236	7	universal	universal	ADJ
ejpam-3368	236	8	enveloping	enveloping	NOUN
ejpam-3368	236	9	algebras	algebra	NOUN
ejpam-3368	236	10	and	and	CCONJ
ejpam-3368	236	11	universal	universal	ADJ
ejpam-3368	236	12	derivations	derivation	NOUN
ejpam-3368	236	13	of	of	ADP
ejpam-3368	236	14	poisson	poisson	PROPN
ejpam-3368	236	15	algebras	algebras	PROPN
ejpam-3368	236	16	,	,	PUNCT
ejpam-3368	236	17	j.	j.	PROPN
ejpam-3368	236	18	algebra	algebra	PROPN
ejpam-3368	236	19	354	354	NUM
ejpam-3368	236	20	(	(	PUNCT
ejpam-3368	236	21	2012	2012	NUM
ejpam-3368	236	22	)	)	PUNCT
ejpam-3368	236	23	,	,	PUNCT
ejpam-3368	236	24	77–94	77–94	NUM
ejpam-3368	236	25	.	.	PUNCT
ejpam-3368	237	1	[	[	X
ejpam-3368	237	2	19	19	NUM
ejpam-3368	237	3	]	]	PUNCT
ejpam-3368	237	4	m.	m.	NOUN
ejpam-3368	237	5	van	van	PROPN
ejpam-3368	237	6	den	den	PROPN
ejpam-3368	237	7	berger	berger	PROPN
ejpam-3368	237	8	,	,	PUNCT
ejpam-3368	237	9	double	double	ADJ
ejpam-3368	237	10	poisson	poisson	NOUN
ejpam-3368	237	11	algebras	algebra	NOUN
ejpam-3368	237	12	,	,	PUNCT
ejpam-3368	237	13	trans	trans	PROPN
ejpam-3368	237	14	.	.	PROPN
ejpam-3368	237	15	amer	amer	PROPN
ejpam-3368	237	16	.	.	PUNCT
ejpam-3368	237	17	math	math	PROPN
ejpam-3368	237	18	.	.	PUNCT
ejpam-3368	238	1	soc	soc	PROPN
ejpam-3368	238	2	.	.	PUNCT
ejpam-3368	239	1	360(11	360(11	NUM
ejpam-3368	239	2	)	)	PUNCT
ejpam-3368	239	3	(	(	PUNCT
ejpam-3368	239	4	2008	2008	NUM
ejpam-3368	239	5	)	)	PUNCT
ejpam-3368	239	6	,	,	PUNCT
ejpam-3368	239	7	5711–5769	5711–5769	NUM
ejpam-3368	239	8	.	.	PUNCT
ejpam-3368	240	1	[	[	X
ejpam-3368	240	2	20	20	NUM
ejpam-3368	240	3	]	]	PUNCT
ejpam-3368	240	4	x.-p	x.-p	PROPN
ejpam-3368	240	5	.	.	PUNCT
ejpam-3368	241	1	xu	xu	INTJ
ejpam-3368	241	2	,	,	PUNCT
ejpam-3368	241	3	novikov	novikov	NOUN
ejpam-3368	241	4	-	-	PUNCT
ejpam-3368	241	5	poisson	poisson	NOUN
ejpam-3368	241	6	algebras	algebras	PROPN
ejpam-3368	241	7	,	,	PUNCT
ejpam-3368	241	8	j.	j.	PROPN
ejpam-3368	241	9	algebra	algebra	PROPN
ejpam-3368	241	10	190(2	190(2	NUM
ejpam-3368	241	11	)	)	PUNCT
ejpam-3368	241	12	(	(	PUNCT
ejpam-3368	241	13	1997	1997	NUM
ejpam-3368	241	14	)	)	PUNCT
ejpam-3368	241	15	,	,	PUNCT
ejpam-3368	241	16	253–279	253–279	NUM
ejpam-3368	241	17	.	.	PUNCT
ejpam-3368	241	18	references	reference	NOUN
ejpam-3368	241	19	24	24	NUM
ejpam-3368	241	20	[	[	X
ejpam-3368	241	21	21	21	NUM
ejpam-3368	241	22	]	]	PUNCT
ejpam-3368	241	23	y.-h	y.-h	PROPN
ejpam-3368	241	24	.	.	PUNCT
ejpam-3368	242	1	yang	yang	PROPN
ejpam-3368	242	2	,	,	PUNCT
ejpam-3368	242	3	y.	y.	PROPN
ejpam-3368	242	4	yao	yao	PROPN
ejpam-3368	242	5	and	and	CCONJ
ejpam-3368	242	6	y.	y.	PROPN
ejpam-3368	242	7	ye	ye	PROPN
ejpam-3368	242	8	,	,	PUNCT
ejpam-3368	242	9	(	(	PUNCT
ejpam-3368	242	10	quasi-)poisson	quasi-)poisson	NOUN
ejpam-3368	242	11	enveloping	envelop	VERB
ejpam-3368	242	12	algebras	algebra	NOUN
ejpam-3368	242	13	,	,	PUNCT
ejpam-3368	242	14	acta	acta	PROPN
ejpam-3368	242	15	math	math	PROPN
ejpam-3368	242	16	.	.	PUNCT
ejpam-3368	243	1	sin	sin	NOUN
ejpam-3368	243	2	.	.	PUNCT
ejpam-3368	244	1	(	(	PUNCT
ejpam-3368	244	2	engl	engl	PROPN
ejpam-3368	244	3	.	.	PUNCT
ejpam-3368	244	4	ser	ser	PROPN
ejpam-3368	244	5	.	.	PUNCT
ejpam-3368	244	6	)	)	PUNCT
ejpam-3368	245	1	29(1	29(1	NUM
ejpam-3368	245	2	)	)	PUNCT
ejpam-3368	245	3	(	(	PUNCT
ejpam-3368	245	4	2013	2013	NUM
ejpam-3368	245	5	)	)	PUNCT
ejpam-3368	245	6	,	,	PUNCT
ejpam-3368	245	7	105–118	105–118	NUM
ejpam-3368	245	8	.	.	PUNCT
ejpam-3368	246	1	[	[	X
ejpam-3368	246	2	22	22	NUM
ejpam-3368	246	3	]	]	X
ejpam-3368	246	4	y.	y.	PROPN
ejpam-3368	246	5	yao	yao	PROPN
ejpam-3368	246	6	,	,	PUNCT
ejpam-3368	246	7	y.	y.	NOUN
ejpam-3368	246	8	ye	ye	PROPN
ejpam-3368	246	9	and	and	CCONJ
ejpam-3368	246	10	p.	p.	PROPN
ejpam-3368	246	11	zhang	zhang	PROPN
ejpam-3368	246	12	,	,	PUNCT
ejpam-3368	246	13	quiver	quiver	PROPN
ejpam-3368	246	14	poisson	poisson	PROPN
ejpam-3368	246	15	algebras	algebras	PROPN
ejpam-3368	246	16	,	,	PUNCT
ejpam-3368	246	17	j.	j.	PROPN
ejpam-3368	246	18	algebra	algebra	PROPN
ejpam-3368	246	19	312(2	312(2	NUM
ejpam-3368	246	20	)	)	PUNCT
ejpam-3368	246	21	(	(	PUNCT
ejpam-3368	246	22	2007	2007	NUM
ejpam-3368	246	23	)	)	PUNCT
ejpam-3368	246	24	,	,	PUNCT
ejpam-3368	246	25	570–589	570–589	NUM
ejpam-3368	246	26	.	.	PUNCT