id	sid	eid	entity	type
ejpam-5085	1	1	european journal	ORG
ejpam-5085	2	1	17	CARDINAL
ejpam-5085	2	2	2	CARDINAL
ejpam-5085	2	3	2024	DATE
ejpam-5085	2	4	1197-1205	DATE
ejpam-5085	3	1	new york	GPE
ejpam-5085	3	2	zero	CARDINAL
ejpam-5085	3	3	mounir laaraj1,∗	PERSON
ejpam-5085	3	4	abdelalim1 1	ORG
ejpam-5085	3	5	hassan ii	PERSON
ejpam-5085	3	6	casablanca	PERSON
ejpam-5085	3	7	morocco	GPE
ejpam-5085	5	1	jacobson cubic	PERSON
ejpam-5085	5	2	zero	CARDINAL
ejpam-5085	5	3	first	ORDINAL
ejpam-5085	5	4	zero	CARDINAL
ejpam-5085	6	1	2020	DATE
ejpam-5085	6	2	16p20	CARDINAL
ejpam-5085	6	3	16p10	DATE
ejpam-5085	6	4	16g10	CARDINAL
ejpam-5085	6	5	16n80	CARDINAL
ejpam-5085	6	6	13h10	DATE
ejpam-5085	6	7	16e30	CARDINAL
ejpam-5085	6	8	artin algebras	PERSON
ejpam-5085	6	9	algebras	ORG
ejpam-5085	6	10	jacobson	PERSON
ejpam-5085	6	11	k of jacobson radical	ORG
ejpam-5085	6	12	3	CARDINAL
ejpam-5085	6	13	mod(a	GPE
ejpam-5085	6	14	qa	ORG
ejpam-5085	6	15	qa	ORG
ejpam-5085	8	1	0 // homa(p0	ORG
ejpam-5085	8	2	n) //	ORG
ejpam-5085	9	1	2012	DATE
ejpam-5085	9	2	xiao-wu chen	PERSON
ejpam-5085	9	3	zero	CARDINAL
ejpam-5085	9	4	∗corresponding	PERSON
ejpam-5085	10	1	m. laaraj	PERSON
ejpam-5085	11	1	s. abdelalim	PERSON
ejpam-5085	12	1	2024	CARDINAL
ejpam-5085	13	1	m. laaraj	PERSON
ejpam-5085	13	2	s. abdelalim	PERSON
ejpam-5085	14	1	j. pure	PERSON
ejpam-5085	14	2	17	CARDINAL
ejpam-5085	14	3	2	CARDINAL
ejpam-5085	14	4	2024	CARDINAL
ejpam-5085	14	5	1197-1205	DATE
ejpam-5085	14	6	5	CARDINAL
ejpam-5085	15	1	0	CARDINAL
ejpam-5085	16	1	one year later	DATE
ejpam-5085	16	2	luo rong	PERSON
ejpam-5085	16	3	cubic zero	CARDINAL
ejpam-5085	16	4	2	CARDINAL
ejpam-5085	17	1	first	ORDINAL
ejpam-5085	17	2	2	CARDINAL
ejpam-5085	18	1	zero	CARDINAL
ejpam-5085	20	1	first	ORDINAL
ejpam-5085	20	2	4	CARDINAL
ejpam-5085	20	3	ω(ω(m	CARDINAL
ejpam-5085	21	1	jacobson cubic	PERSON
ejpam-5085	21	2	zero	CARDINAL
ejpam-5085	23	1	1	CARDINAL
ejpam-5085	23	2	1.1	CARDINAL
ejpam-5085	25	1	// cn−1	NORP
ejpam-5085	27	1	dn //	PERSON
ejpam-5085	28	1	bn(c⋆	GPE
ejpam-5085	29	1	= ker(dn	PERSON
ejpam-5085	29	2	n(c⋆	WORK_OF_ART
ejpam-5085	29	3	zn(c⋆	DATE
ejpam-5085	29	4	1.2	CARDINAL
ejpam-5085	31	1	m. laaraj	PERSON
ejpam-5085	31	2	s. abdelalim	PERSON
ejpam-5085	32	1	j. pure	PERSON
ejpam-5085	32	2	17	CARDINAL
ejpam-5085	32	3	2	CARDINAL
ejpam-5085	32	4	2024	CARDINAL
ejpam-5085	32	5	1197-1205	DATE
ejpam-5085	32	6	1.3	CARDINAL
ejpam-5085	33	1	mod(a	GPE
ejpam-5085	34	1	1.4	CARDINAL
ejpam-5085	37	1	idp // p //	ORG
ejpam-5085	40	1	//	PERSON
ejpam-5085	40	2	2	CARDINAL
ejpam-5085	40	3	hom(−	TIME
ejpam-5085	40	4	2z/4z	CARDINAL
ejpam-5085	41	1	1.5	CARDINAL
ejpam-5085	44	1	1	CARDINAL
ejpam-5085	44	2	3	CARDINAL
ejpam-5085	45	1	1.6 lemma	QUANTITY
ejpam-5085	47	1	1	CARDINAL
ejpam-5085	48	1	2	CARDINAL
ejpam-5085	48	2	3	CARDINAL
ejpam-5085	49	1	1	CARDINAL
ejpam-5085	49	2	1.7	CARDINAL
ejpam-5085	51	1	1.8	CARDINAL
ejpam-5085	52	1	mod(a	GPE
ejpam-5085	52	2	0 //m //	ORG
ejpam-5085	52	3	// p1 // p2 //	ORG
ejpam-5085	54	1	≃ z0(p⋆	PERSON
ejpam-5085	54	2	// p1 // p2 //	ORG
ejpam-5085	54	3	m. laaraj	PERSON
ejpam-5085	54	4	s. abdelalim	PERSON
ejpam-5085	55	1	j. pure	PERSON
ejpam-5085	55	2	17	CARDINAL
ejpam-5085	55	3	2	CARDINAL
ejpam-5085	55	4	2024	CARDINAL
ejpam-5085	55	5	1197-1205 1200	DATE
ejpam-5085	57	1	// q2 //	PERSON
ejpam-5085	58	1	two	CARDINAL
ejpam-5085	58	2	≃ z0(p⋆	PERSON
ejpam-5085	59	1	1.9	CARDINAL
ejpam-5085	60	1	y // z	ORG
ejpam-5085	61	1	1	CARDINAL
ejpam-5085	62	1	2	CARDINAL
ejpam-5085	63	1	1.8	CARDINAL
ejpam-5085	63	2	two	CARDINAL
ejpam-5085	71	1	1.7	CARDINAL
ejpam-5085	71	2	ext1a(z	ORG
ejpam-5085	71	3	hom(−	TIME
ejpam-5085	71	4	x′)// homa(x	PERSON
ejpam-5085	76	1	0 1	DATE
ejpam-5085	77	1	0 // coker(ix) // y1 // coker(iz	ORG
ejpam-5085	78	1	0 // x1 // y1 //	ORG
ejpam-5085	78	2	1.8	CARDINAL
ejpam-5085	79	1	second	ORDINAL
ejpam-5085	79	2	0	CARDINAL
ejpam-5085	82	1	m. laaraj	PERSON
ejpam-5085	82	2	s. abdelalim	PERSON
ejpam-5085	83	1	j. pure	PERSON
ejpam-5085	83	2	17	CARDINAL
ejpam-5085	83	3	2	CARDINAL
ejpam-5085	83	4	2024	CARDINAL
ejpam-5085	83	5	1197-1205	DATE
ejpam-5085	84	1	0	CARDINAL
ejpam-5085	84	2	1	CARDINAL
ejpam-5085	84	3	the first row	DATE
ejpam-5085	84	4	≃ x	PERSON
ejpam-5085	84	5	⊕	PERSON
ejpam-5085	88	1	ker(f	GPE
ejpam-5085	88	2	⊆	CARDINAL
ejpam-5085	90	1	0 // ω(m	ORG
ejpam-5085	91	1	//m //	FAC
ejpam-5085	91	2	1.10	CARDINAL
ejpam-5085	93	1	ω i(m	ORG
ejpam-5085	93	2	1	CARDINAL
ejpam-5085	95	1	0 // ω(m	ORG
ejpam-5085	95	2	//m // 0	FAC
ejpam-5085	95	3	1.9	CARDINAL
ejpam-5085	96	1	0 // ω i+1(m)	ORG
ejpam-5085	97	1	ω i(m	ORG
ejpam-5085	98	1	// ω i(m	ORG
ejpam-5085	100	1	1	CARDINAL
ejpam-5085	100	2	2	CARDINAL
ejpam-5085	100	3	6	CARDINAL
ejpam-5085	101	1	1.11	CARDINAL
ejpam-5085	103	1	2	CARDINAL
ejpam-5085	103	2	jacobson cubic	PERSON
ejpam-5085	103	3	zero	CARDINAL
ejpam-5085	104	1	m. laaraj	PERSON
ejpam-5085	104	2	s. abdelalim	PERSON
ejpam-5085	105	1	j. pure	PERSON
ejpam-5085	105	2	17	CARDINAL
ejpam-5085	105	3	2	CARDINAL
ejpam-5085	105	4	2024	CARDINAL
ejpam-5085	105	5	1197-1205	DATE
ejpam-5085	105	6	2.1	CARDINAL
ejpam-5085	107	1	rad2(p	PERSON
ejpam-5085	110	1	⊆	CARDINAL
ejpam-5085	110	2	⊆	CARDINAL
ejpam-5085	111	1	0	CARDINAL
ejpam-5085	111	2	⊆	CARDINAL
ejpam-5085	111	3	rad2(p	PERSON
ejpam-5085	114	1	⊕ l.	PERSON
ejpam-5085	115	1	2.2	CARDINAL
ejpam-5085	117	1	0	CARDINAL
ejpam-5085	117	2	rad2(p	PERSON
ejpam-5085	118	1	3	CARDINAL
ejpam-5085	120	1	2.3.9	CARDINAL
ejpam-5085	120	2	2	CARDINAL
ejpam-5085	120	3	0	CARDINAL
ejpam-5085	125	1	3.1	CARDINAL
ejpam-5085	126	1	ω(s	ORG
ejpam-5085	127	1	3.2	CARDINAL
ejpam-5085	128	1	zero	CARDINAL
ejpam-5085	128	2	rad2(p	PERSON
ejpam-5085	131	1	m. laaraj	PERSON
ejpam-5085	131	2	s. abdelalim	PERSON
ejpam-5085	132	1	j. pure	PERSON
ejpam-5085	132	2	17	CARDINAL
ejpam-5085	132	3	2	CARDINAL
ejpam-5085	132	4	2024	CARDINAL
ejpam-5085	132	5	1197-1205 1203	DATE
ejpam-5085	135	1	⊆	CARDINAL
ejpam-5085	136	1	0	CARDINAL
ejpam-5085	136	2	2	CARDINAL
ejpam-5085	138	1	rad2(p	PERSON
ejpam-5085	139	1	0	CARDINAL
ejpam-5085	140	1	0 // ω(s1	ORG
ejpam-5085	140	2	i2 //	ORG
ejpam-5085	140	3	p // s1 // 0	ORG
ejpam-5085	143	1	ext1a(s	PERSON
ejpam-5085	143	2	0 // ω2(s	PERSON
ejpam-5085	144	1	// s	ORG
ejpam-5085	148	1	i0 // p0(s	ORG
ejpam-5085	148	2	// s // 0	ORG
ejpam-5085	148	3	0 // ω2(s	GPE
ejpam-5085	148	4	// ω(s	PERSON
ejpam-5085	148	5	first	ORDINAL
ejpam-5085	148	6	second	ORDINAL
ejpam-5085	148	7	⊆	CARDINAL
ejpam-5085	149	1	0	CARDINAL
ejpam-5085	150	1	0	CARDINAL
ejpam-5085	151	1	ext1a(s	PERSON
ejpam-5085	152	1	0 // ω2(s	ORG
ejpam-5085	153	1	i1 // p1 π1 //	PERSON
ejpam-5085	154	1	0	CARDINAL
ejpam-5085	155	1	0	CARDINAL
ejpam-5085	155	2	i0	GPE
ejpam-5085	156	1	i0	ORG
ejpam-5085	157	1	i0	GPE
ejpam-5085	158	1	0	CARDINAL
ejpam-5085	160	1	1204	DATE
ejpam-5085	160	2	hom(−	TIME
ejpam-5085	160	3	0 // s3 i1 //	ORG
ejpam-5085	160	4	π1 // s2 // 0	ORG
ejpam-5085	161	1	0 // hom(s2	PERSON
ejpam-5085	163	1	∈	ORG
ejpam-5085	163	2	3.1	CARDINAL
ejpam-5085	163	3	s.	PERSON
ejpam-5085	163	4	ext1a(s	PERSON
ejpam-5085	163	5	si−1	ORG
ejpam-5085	163	6	ext1a(si	ORG
ejpam-5085	163	7	sn	ORG
ejpam-5085	163	8	qa	PRODUCT
ejpam-5085	164	1	{p1	PERSON
ejpam-5085	164	2	9.3.7	CARDINAL
ejpam-5085	164	3	4	CARDINAL
ejpam-5085	165	1	dr.	PERSON
ejpam-5085	165	2	eyup	PERSON
ejpam-5085	165	3	cetin	PERSON
ejpam-5085	165	4	ilias	PERSON
ejpam-5085	166	1	three	CARDINAL
ejpam-5085	167	1	xiao-wu chen	PERSON
ejpam-5085	168	1	artin algebras	ORG
ejpam-5085	169	1	university of science and technology of	ORG
ejpam-5085	169	2	china	GPE
ejpam-5085	169	3	cambridge	GPE
ejpam-5085	169	4	2010	DATE
ejpam-5085	170	1	2	CARDINAL
ejpam-5085	170	2	xiao-wu chen	PERSON
ejpam-5085	171	1	algebras	PERSON
ejpam-5085	172	1	american	NORP
ejpam-5085	172	2	2011	DATE
ejpam-5085	173	1	3	CARDINAL
ejpam-5085	173	2	d. simson i. assem	PERSON
ejpam-5085	173	3	a. skowroński	PERSON
ejpam-5085	175	1	1	CARDINAL
ejpam-5085	175	2	london	GPE
ejpam-5085	175	3	65	CARDINAL
ejpam-5085	175	4	cambridge university press	ORG
ejpam-5085	175	5	cambridge	GPE
ejpam-5085	175	6	2006	DATE
ejpam-5085	176	1	1205	DATE
ejpam-5085	176	2	4	CARDINAL
ejpam-5085	176	3	m. auslander	PERSON
ejpam-5085	176	4	s. o. smalø	PERSON
ejpam-5085	177	1	artin algebras	GPE
ejpam-5085	178	1	cambridge	GPE
ejpam-5085	178	2	36	DATE
ejpam-5085	178	3	cambridge university press	ORG
ejpam-5085	178	4	cambridge	GPE
ejpam-5085	178	5	1995	DATE
ejpam-5085	179	1	5	CARDINAL
ejpam-5085	179	2	luo rong	PERSON
ejpam-5085	181	1	southwest jiaotong university	ORG
ejpam-5085	181	2	r. china.	GPE
ejpam-5085	181	3	2013	DATE
ejpam-5085	182	1	6	CARDINAL
ejpam-5085	182	2	zhou xiao-wu chen	PERSON
ejpam-5085	182	3	dawei shen	PERSON
ejpam-5085	184	1	edinburgh	GPE
ejpam-5085	184	2	2015	DATE