id	sid	eid	entity	type
ejpam-3889	1	1	european journal	ORG
ejpam-3889	2	1	14	DATE
ejpam-3889	2	2	2	CARDINAL
ejpam-3889	2	3	2021	DATE
ejpam-3889	2	4	404	CARDINAL
ejpam-3889	2	5	new york	GPE
ejpam-3889	2	6	cohopfian	ORG
ejpam-3889	2	7	agr(a−mod	PERSON
ejpam-3889	2	8	agr(a−mod	ORG
ejpam-3889	2	9	balde1,∗	GPE
ejpam-3889	2	10	mohamed ben faraj ben maaouia2	PERSON
ejpam-3889	2	11	ahmed ould chbih3 1	PERSON
ejpam-3889	2	12	gaston berger	PERSON
ejpam-3889	2	13	saint-louis	GPE
ejpam-3889	2	14	senegal	GPE
ejpam-3889	3	1	cohopfian	ORG
ejpam-3889	3	2	agr(a−mod	ORG
ejpam-3889	4	1	cohopfian	ORG
ejpam-3889	6	1	hopfian	NORP
ejpam-3889	6	2	s−1(m∗/n∗	ORG
ejpam-3889	7	1	2020	DATE
ejpam-3889	7	2	hopfian	GPE
ejpam-3889	7	3	cohopfian	ORG
ejpam-3889	9	1	s.a. balde	PERSON
ejpam-3889	10	1	maaouiaalg@hotmail.com	ORG
ejpam-3889	10	2	m. ben maaouia	PERSON
ejpam-3889	11	1	a. o. chbih	PERSON
ejpam-3889	13	1	404	CARDINAL
ejpam-3889	14	1	2021	CARDINAL
ejpam-3889	15	1	s. a. balde	PERSON
ejpam-3889	15	2	m. b. maaouia	PERSON
ejpam-3889	15	3	a. o. chbih	PERSON
ejpam-3889	16	1	j. pure	PERSON
ejpam-3889	16	2	14	CARDINAL
ejpam-3889	16	3	2	CARDINAL
ejpam-3889	16	4	2021	CARDINAL
ejpam-3889	16	5	404	CARDINAL
ejpam-3889	18	1	cohopfian	ORG
ejpam-3889	18	2	agr(a−mod	ORG
ejpam-3889	18	3	agr(a−mod	ORG
ejpam-3889	20	1	3	CARDINAL
ejpam-3889	22	1	18	CARDINAL
ejpam-3889	22	2	cohopfian	ORG
ejpam-3889	23	1	agr(a	CARDINAL
ejpam-3889	23	2	agr(a−mod	ORG
ejpam-3889	23	3	agr(a−mod	ORG
ejpam-3889	26	1	cohopfian	ORG
ejpam-3889	27	1	s−1	NORP
ejpam-3889	28	1	invariant submodule	ORG
ejpam-3889	28	2	invariant submodule of m	ORG
ejpam-3889	29	1	cohopfian	ORG
ejpam-3889	29	2	s−1(a)-module	ORG
ejpam-3889	30	1	hopfian	NORP
ejpam-3889	30	2	hopfian	NORP
ejpam-3889	31	1	section 3	LAW
ejpam-3889	31	2	cohopfian	ORG
ejpam-3889	31	3	s. a. balde	PERSON
ejpam-3889	31	4	m. b. maaouia	PERSON
ejpam-3889	31	5	a. o. chbih	PERSON
ejpam-3889	32	1	j. pure	PERSON
ejpam-3889	32	2	14	CARDINAL
ejpam-3889	32	3	2	CARDINAL
ejpam-3889	32	4	2021	CARDINAL
ejpam-3889	32	5	404	CARDINAL
ejpam-3889	32	6	422 406	CARDINAL
ejpam-3889	32	7	mn	GPE
ejpam-3889	33	1	⊕	PERSON
ejpam-3889	33	2	hopfian(respectiveley	CARDINAL
ejpam-3889	34	1	hopfian s−1(a)-module	ORG
ejpam-3889	34	2	hopfian	NORP
ejpam-3889	35	1	invariant submodule	ORG
ejpam-3889	35	2	invariant submodule	ORG
ejpam-3889	36	1	cohopfian	NORP
ejpam-3889	37	1	hopfian	NORP
ejpam-3889	37	2	hopfian	NORP
ejpam-3889	38	1	cohopfian	ORG
ejpam-3889	38	2	agr(a−mod	ORG
ejpam-3889	39	1	s−1(a)-module	LOC
ejpam-3889	39	2	hopfian	ORG
ejpam-3889	40	1	cohopfian	ORG
ejpam-3889	40	2	s. a. balde	PERSON
ejpam-3889	40	3	m. b. maaouia	PERSON
ejpam-3889	40	4	a. o. chbih	PERSON
ejpam-3889	41	1	j. pure	PERSON
ejpam-3889	41	2	14	CARDINAL
ejpam-3889	41	3	2	CARDINAL
ejpam-3889	41	4	2021	CARDINAL
ejpam-3889	41	5	404	CARDINAL
ejpam-3889	41	6	cohopfian	NORP
ejpam-3889	41	7	cohopfian	ORG
ejpam-3889	42	1	s−1m∗	GPE
ejpam-3889	43	1	hopfian	NORP
ejpam-3889	43	2	s−1(m∗/n∗	ORG
ejpam-3889	44	1	2	CARDINAL
ejpam-3889	44	2	1	CARDINAL
ejpam-3889	46	1	⊂ an+m	PERSON
ejpam-3889	46	2	∀ n	ORG
ejpam-3889	46	3	∈ z.	PERSON
ejpam-3889	50	1	2	CARDINAL
ejpam-3889	53	1	3	CARDINAL
ejpam-3889	55	1	mn	GPE
ejpam-3889	55	2	s. a. balde	PERSON
ejpam-3889	55	3	m. b. maaouia	PERSON
ejpam-3889	55	4	a. o. chbih	PERSON
ejpam-3889	56	1	j. pure	PERSON
ejpam-3889	56	2	14	CARDINAL
ejpam-3889	56	3	2	CARDINAL
ejpam-3889	56	4	2021	CARDINAL
ejpam-3889	56	5	404	CARDINAL
ejpam-3889	56	6	422 408	CARDINAL
ejpam-3889	56	7	md ⊂mn+d	PERSON
ejpam-3889	56	8	∀ n	ORG
ejpam-3889	56	9	4	DATE
ejpam-3889	58	1	mn	GPE
ejpam-3889	58	2	∀x	ORG
ejpam-3889	58	3	∀n ∈ z. definition	PERSON
ejpam-3889	59	1	mn	GPE
ejpam-3889	59	2	n = ⊕	GPE
ejpam-3889	59	3	two	CARDINAL
ejpam-3889	60	1	∈ms	ORG
ejpam-3889	60	2	1	CARDINAL
ejpam-3889	61	1	agr(a−mod	ORG
ejpam-3889	63	1	23	CARDINAL
ejpam-3889	63	2	2	CARDINAL
ejpam-3889	63	3	s s	ORG
ejpam-3889	63	4	⊕	PERSON
ejpam-3889	63	5	∈	ORG
ejpam-3889	63	6	∈	ORG
ejpam-3889	67	1	s−1	NORP
ejpam-3889	67	2	⊕	PERSON
ejpam-3889	67	3	∈	ORG
ejpam-3889	70	1	1	CARDINAL
ejpam-3889	70	2	1	CARDINAL
ejpam-3889	71	1	mn	GPE
ejpam-3889	71	2	n = ⊕	GPE
ejpam-3889	71	3	two	CARDINAL
ejpam-3889	74	1	s. a. balde	PERSON
ejpam-3889	74	2	m. b. maaouia	PERSON
ejpam-3889	74	3	a. o. chbih	PERSON
ejpam-3889	75	1	j. pure	PERSON
ejpam-3889	75	2	14	CARDINAL
ejpam-3889	75	3	2	CARDINAL
ejpam-3889	75	4	2021	CARDINAL
ejpam-3889	75	5	404	CARDINAL
ejpam-3889	75	6	422 409	CARDINAL
ejpam-3889	77	1	1	CARDINAL
ejpam-3889	77	2	s−1(dn+1)//	ORG
ejpam-3889	78	1	1	CARDINAL
ejpam-3889	79	1	// s−1(f(n−1	PERSON
ejpam-3889	80	1	s−1(n∗	PERSON
ejpam-3889	80	2	1	CARDINAL
ejpam-3889	80	3	1	CARDINAL
ejpam-3889	82	1	3	CARDINAL
ejpam-3889	82	2	3	CARDINAL
ejpam-3889	85	1	+ 1	DATE
ejpam-3889	85	2	m(n	GPE
ejpam-3889	86	1	1	CARDINAL
ejpam-3889	87	1	agr(a−mod	ORG
ejpam-3889	89	1	m(n	GPE
ejpam-3889	89	2	agr(a−mod	ORG
ejpam-3889	91	1	23	CARDINAL
ejpam-3889	91	2	4	CARDINAL
ejpam-3889	94	1	+ 1	DATE
ejpam-3889	94	2	m(n	GPE
ejpam-3889	95	1	1	CARDINAL
ejpam-3889	97	1	m(n	GPE
ejpam-3889	100	1	23	CARDINAL
ejpam-3889	100	2	3	CARDINAL
ejpam-3889	100	3	hopfian	ORG
ejpam-3889	100	4	cohopfian	ORG
ejpam-3889	102	1	hopfian	ORG
ejpam-3889	102	2	cohopfian	ORG
ejpam-3889	103	1	5	CARDINAL
ejpam-3889	109	1	s−1(a)-mod	TIME
ejpam-3889	112	1	s−1	NORP
ejpam-3889	113	1	s. a. balde	PERSON
ejpam-3889	113	2	m. b. maaouia	PERSON
ejpam-3889	113	3	a. o. chbih	PERSON
ejpam-3889	114	1	j. pure	PERSON
ejpam-3889	114	2	14	CARDINAL
ejpam-3889	114	3	2	CARDINAL
ejpam-3889	114	4	2021	CARDINAL
ejpam-3889	114	5	404	CARDINAL
ejpam-3889	114	6	m1 and m2 ∈m	PRODUCT
ejpam-3889	116	1	1	CARDINAL
ejpam-3889	118	1	6	CARDINAL
ejpam-3889	120	1	invariant submodule	ORG
ejpam-3889	123	1	⊂m	GPE
ejpam-3889	127	1	7−→	CARDINAL
ejpam-3889	127	2	1	CARDINAL
ejpam-3889	128	1	1	CARDINAL
ejpam-3889	130	1	1	CARDINAL
ejpam-3889	130	2	1 s m	QUANTITY
ejpam-3889	130	3	1	CARDINAL
ejpam-3889	134	1	m′ ∈m	PERSON
ejpam-3889	137	1	s−1	NORP
ejpam-3889	141	1	∃x	ORG
ejpam-3889	145	1	cohopfian	ORG
ejpam-3889	146	1	s−1	NORP
ejpam-3889	146	2	s−1	NORP
ejpam-3889	146	3	cohopfian	ORG
ejpam-3889	147	1	s. a. balde	PERSON
ejpam-3889	147	2	m. b. maaouia	PERSON
ejpam-3889	147	3	a. o. chbih	PERSON
ejpam-3889	148	1	j. pure	PERSON
ejpam-3889	148	2	14	CARDINAL
ejpam-3889	148	3	2	CARDINAL
ejpam-3889	148	4	2021	CARDINAL
ejpam-3889	148	5	404	CARDINAL
ejpam-3889	148	6	422 411	CARDINAL
ejpam-3889	148	7	7	CARDINAL
ejpam-3889	149	1	invariant submodule of m	ORG
ejpam-3889	150	1	cohopfian	ORG
ejpam-3889	150	2	s−1(a)-module	LOC
ejpam-3889	152	1	cohopfian	ORG
ejpam-3889	166	1	s−1(l	ORG
ejpam-3889	168	1	s−1(f)](s−1(m	PERSON
ejpam-3889	169	1	⊕ s−1(l	PERSON
ejpam-3889	170	1	0	CARDINAL
ejpam-3889	172	1	∩ s−1(l	ORG
ejpam-3889	172	2	s−1(l	ORG
ejpam-3889	174	1	s−1(f)](s−1m	ORG
ejpam-3889	174	2	cohopfian	ORG
ejpam-3889	175	1	8	CARDINAL
ejpam-3889	176	1	invariant submodule of m	ORG
ejpam-3889	177	1	hopfian	NORP
ejpam-3889	177	2	hopfian	NORP
ejpam-3889	182	1	⊂ s−1(n	GPE
ejpam-3889	189	1	0	CARDINAL
ejpam-3889	189	2	∈	ORG
ejpam-3889	193	1	0	CARDINAL
ejpam-3889	201	1	⊂ s−1(n	GPE
ejpam-3889	202	1	⊕ im(s	PERSON
ejpam-3889	202	2	k = n	PERSON
ejpam-3889	202	3	s. a. balde	PERSON
ejpam-3889	202	4	m. b. maaouia	PERSON
ejpam-3889	202	5	a. o. chbih	PERSON
ejpam-3889	203	1	j. pure	PERSON
ejpam-3889	203	2	14	CARDINAL
ejpam-3889	203	3	2	CARDINAL
ejpam-3889	203	4	2021	CARDINAL
ejpam-3889	203	5	404	CARDINAL
ejpam-3889	203	6	422 412	CARDINAL
ejpam-3889	203	7	= s−1(im(s	PERSON
ejpam-3889	205	1	0	CARDINAL
ejpam-3889	205	2	s−1(a)-module	LOC
ejpam-3889	211	1	∈	ORG
ejpam-3889	211	2	∈	ORG
ejpam-3889	211	3	−1(m/n	ORG
ejpam-3889	215	1	s−1(ϕ)](π(y)t	PERSON
ejpam-3889	231	1	hopfian	NORP
ejpam-3889	233	1	s−1(ϕ)](xs	ORG
ejpam-3889	238	1	4.	CARDINAL
ejpam-3889	238	2	hopfian	ORG
ejpam-3889	238	3	cohopfian	ORG
ejpam-3889	238	4	agr(a−mod	ORG
ejpam-3889	240	1	hopfian	ORG
ejpam-3889	240	2	cohopfian	ORG
ejpam-3889	241	1	1	CARDINAL
ejpam-3889	241	2	mn	GPE
ejpam-3889	241	3	mn	ORG
ejpam-3889	241	4	hopfian(respectiveley	CARDINAL
ejpam-3889	243	1	mn	GPE
ejpam-3889	243	2	hopfian	GPE
ejpam-3889	243	3	mn	ORG
ejpam-3889	243	4	hopfian	NORP
ejpam-3889	247	1	mn	GPE
ejpam-3889	247	2	∈	ORG
ejpam-3889	248	1	yn ∈ mn	ORG
ejpam-3889	252	1	s. a. balde	PERSON
ejpam-3889	252	2	m. b. maaouia	PERSON
ejpam-3889	252	3	a. o. chbih	PERSON
ejpam-3889	253	1	j. pure	PERSON
ejpam-3889	253	2	14	CARDINAL
ejpam-3889	253	3	2	CARDINAL
ejpam-3889	253	4	2021	CARDINAL
ejpam-3889	253	5	404	CARDINAL
ejpam-3889	253	6	422 413	CARDINAL
ejpam-3889	255	1	∈ mn	GPE
ejpam-3889	256	1	mn	ORG
ejpam-3889	257	1	mn	ORG
ejpam-3889	257	2	hopfian	GPE
ejpam-3889	257	3	mn	GPE
ejpam-3889	257	4	hopfian	GPE
ejpam-3889	259	1	mn	GPE
ejpam-3889	261	1	⊕	GPE
ejpam-3889	261	2	mn	GPE
ejpam-3889	263	1	∑ finie xt	PERSON
ejpam-3889	264	1	0	CARDINAL
ejpam-3889	264	2	f(x	ORG
ejpam-3889	265	1	∈ mn	GPE
ejpam-3889	266	1	mn	ORG
ejpam-3889	266	2	hopfian	GPE
ejpam-3889	267	1	hopfian	NORP
ejpam-3889	268	1	9	CARDINAL
ejpam-3889	269	1	mn	GPE
ejpam-3889	270	1	⊕	PERSON
ejpam-3889	270	2	hopfian(respectiveley	CARDINAL
ejpam-3889	273	1	⊕	PERSON
ejpam-3889	273	2	⊕	PERSON
ejpam-3889	274	1	∈	ORG
ejpam-3889	274	2	∈	ORG
ejpam-3889	276	1	10	CARDINAL
ejpam-3889	277	1	mn	GPE
ejpam-3889	279	1	s. a. balde	PERSON
ejpam-3889	279	2	m. b. maaouia	PERSON
ejpam-3889	279	3	a. o. chbih	PERSON
ejpam-3889	280	1	j. pure	PERSON
ejpam-3889	280	2	14	CARDINAL
ejpam-3889	280	3	2	CARDINAL
ejpam-3889	280	4	2021	CARDINAL
ejpam-3889	280	5	404	CARDINAL
ejpam-3889	281	1	ofm	DATE
ejpam-3889	283	1	⊕	PERSON
ejpam-3889	283	2	⊕	PERSON
ejpam-3889	286	1	hopfian	ORG
ejpam-3889	287	1	m1 and m2 ∈m	PRODUCT
ejpam-3889	288	1	1	CARDINAL
ejpam-3889	288	2	1	CARDINAL
ejpam-3889	290	1	hopfian	NORP
ejpam-3889	291	1	1	CARDINAL
ejpam-3889	293	1	hopfian	NORP
ejpam-3889	293	2	hopfian	NORP
ejpam-3889	295	1	11	CARDINAL
ejpam-3889	297	1	invariant submodule	ORG
ejpam-3889	297	2	cohopfian	NORP
ejpam-3889	300	1	s−1	NORP
ejpam-3889	300	2	⊂m	GPE
ejpam-3889	304	1	1	CARDINAL
ejpam-3889	304	2	1	CARDINAL
ejpam-3889	304	3	1	CARDINAL
ejpam-3889	304	4	1	CARDINAL
ejpam-3889	307	1	s. a. balde	PERSON
ejpam-3889	307	2	m. b. maaouia	PERSON
ejpam-3889	307	3	a. o. chbih	PERSON
ejpam-3889	308	1	j. pure	PERSON
ejpam-3889	308	2	14	CARDINAL
ejpam-3889	308	3	2	CARDINAL
ejpam-3889	308	4	2021	CARDINAL
ejpam-3889	308	5	404	CARDINAL
ejpam-3889	308	6	422 415	CARDINAL
ejpam-3889	308	7	m′ ∈m	PERSON
ejpam-3889	313	1	2	CARDINAL
ejpam-3889	314	1	invariant submodule	ORG
ejpam-3889	314	2	s−1	NORP
ejpam-3889	316	1	theorem(11	CARDINAL
ejpam-3889	316	2	12	CARDINAL
ejpam-3889	318	1	cohopfian	NORP
ejpam-3889	335	1	s−1(l	ORG
ejpam-3889	338	1	s−1(l	ORG
ejpam-3889	339	1	cohopfian	ORG
ejpam-3889	340	1	13	CARDINAL
ejpam-3889	342	1	hopfian	NORP
ejpam-3889	342	2	hopfian	NORP
ejpam-3889	346	1	s−1(f)](n	GPE
ejpam-3889	346	2	s. a. balde	PERSON
ejpam-3889	346	3	m. b. maaouia	PERSON
ejpam-3889	346	4	a. o. chbih	PERSON
ejpam-3889	347	1	j. pure	PERSON
ejpam-3889	347	2	14	CARDINAL
ejpam-3889	347	3	2	CARDINAL
ejpam-3889	347	4	2021	CARDINAL
ejpam-3889	347	5	404	CARDINAL
ejpam-3889	356	1	0	CARDINAL
ejpam-3889	356	2	∈	ORG
ejpam-3889	360	1	0	CARDINAL
ejpam-3889	369	1	⊂ s−1(n	GPE
ejpam-3889	370	1	⊕ im(s	PERSON
ejpam-3889	370	2	k = n	PERSON
ejpam-3889	370	3	= s−1(im(s	PERSON
ejpam-3889	371	1	0	CARDINAL
ejpam-3889	371	2	s−1(a)-module	LOC
ejpam-3889	378	1	∈	ORG
ejpam-3889	378	2	−1(m/n	ORG
ejpam-3889	381	1	s−1(ϕ)](π(y)t	PERSON
ejpam-3889	394	1	hopfian	NORP
ejpam-3889	396	1	s−1(ϕ)](xs	ORG
ejpam-3889	401	1	5	CARDINAL
ejpam-3889	401	2	hopfian	ORG
ejpam-3889	401	3	cohopfian	ORG
ejpam-3889	401	4	agr(a−mod	ORG
ejpam-3889	401	5	8	CARDINAL
ejpam-3889	402	1	agr(a−mod	ORG
ejpam-3889	404	1	cohopfian	ORG
ejpam-3889	405	1	s. a. balde	PERSON
ejpam-3889	405	2	m. b. maaouia	PERSON
ejpam-3889	405	3	a. o. chbih	PERSON
ejpam-3889	406	1	j. pure	PERSON
ejpam-3889	406	2	14	CARDINAL
ejpam-3889	406	3	2	CARDINAL
ejpam-3889	406	4	2021	CARDINAL
ejpam-3889	406	5	404	CARDINAL
ejpam-3889	408	1	2	CARDINAL
ejpam-3889	412	1	f(n	ORG
ejpam-3889	414	1	3	CARDINAL
ejpam-3889	416	1	cohopfian	ORG
ejpam-3889	416	2	n ∈ z	ORG
ejpam-3889	417	1	cohopfian	ORG
ejpam-3889	425	1	cohopfian	ORG
ejpam-3889	425	2	hopfian	ORG
ejpam-3889	426	1	14	DATE
ejpam-3889	428	1	hopfian	GPE
ejpam-3889	432	1	m1 and m2 ∈m(n	PRODUCT
ejpam-3889	433	1	1	CARDINAL
ejpam-3889	433	2	1	CARDINAL
ejpam-3889	435	1	f(n	ORG
ejpam-3889	435	2	m(n	GPE
ejpam-3889	436	1	s. a. balde	PERSON
ejpam-3889	436	2	m. b. maaouia	PERSON
ejpam-3889	436	3	a. o. chbih	PERSON
ejpam-3889	437	1	j. pure	PERSON
ejpam-3889	437	2	14	CARDINAL
ejpam-3889	437	3	2	CARDINAL
ejpam-3889	437	4	2021	CARDINAL
ejpam-3889	437	5	404	CARDINAL
ejpam-3889	437	6	422 418	CARDINAL
ejpam-3889	437	7	15	CARDINAL
ejpam-3889	443	1	m∗.	GPE
ejpam-3889	443	2	s−1(gind(n	GPE
ejpam-3889	445	1	1	CARDINAL
ejpam-3889	445	2	1	CARDINAL
ejpam-3889	445	3	1	CARDINAL
ejpam-3889	445	4	1	CARDINAL
ejpam-3889	446	1	s−1(gind(n	PERSON
ejpam-3889	448	1	m(n	PERSON
ejpam-3889	448	2	m(n	GPE
ejpam-3889	450	1	∈m(n	DATE
ejpam-3889	454	1	cohopfian	ORG
ejpam-3889	454	2	cohopfian	ORG
ejpam-3889	455	1	16	CARDINAL
ejpam-3889	456	1	cohopfian	NORP
ejpam-3889	466	1	∀n ∈ z	PERSON
ejpam-3889	469	1	s−1(g−1(n	GPE
ejpam-3889	470	1	end(s−1(n(n	ORG
ejpam-3889	471	1	∈	ORG
ejpam-3889	471	2	s−1(n∗) s. a. balde	ORG
ejpam-3889	471	3	m. b. maaouia	PERSON
ejpam-3889	471	4	a. o. chbih	PERSON
ejpam-3889	472	1	j. pure	PERSON
ejpam-3889	472	2	14	CARDINAL
ejpam-3889	472	3	2	CARDINAL
ejpam-3889	472	4	2021	CARDINAL
ejpam-3889	472	5	404	CARDINAL
ejpam-3889	473	1	s−1(n∗	PERSON
ejpam-3889	474	1	s−1(f(n)|s−1n(n	DATE
ejpam-3889	480	1	0	CARDINAL
ejpam-3889	486	1	2	CARDINAL
ejpam-3889	490	1	n∗	ORG
ejpam-3889	492	1	m(n	GPE
ejpam-3889	501	1	∈	ORG
ejpam-3889	501	2	z. consequentely	PERSON
ejpam-3889	502	1	17	CARDINAL
ejpam-3889	504	1	hopfian	NORP
ejpam-3889	504	2	s−1(m∗/n∗	ORG
ejpam-3889	504	3	hopfian	NORP
ejpam-3889	506	1	s−1(m∗/n∗	ORG
ejpam-3889	507	1	s−1(n∗	PERSON
ejpam-3889	507	2	∀n ∈ z	ORG
ejpam-3889	510	1	s−1(m∗/n∗	ORG
ejpam-3889	510	2	hopfian	ORG
ejpam-3889	511	1	s−1(k(n	NORP
ejpam-3889	517	1	s−1(π(n	NORP
ejpam-3889	517	2	s. a. balde	PERSON
ejpam-3889	517	3	m. b. maaouia	PERSON
ejpam-3889	517	4	a. o. chbih	PERSON
ejpam-3889	518	1	j. pure	PERSON
ejpam-3889	518	2	14	CARDINAL
ejpam-3889	518	3	2	CARDINAL
ejpam-3889	518	4	2021	CARDINAL
ejpam-3889	518	5	404	CARDINAL
ejpam-3889	518	6	422 420	CARDINAL
ejpam-3889	518	7	∈	ORG
ejpam-3889	523	1	0	CARDINAL
ejpam-3889	528	1	s−1(π(n)	NORP
ejpam-3889	534	1	s−1(k(n	NORP
ejpam-3889	534	2	s−1m∗ quasi-projective	GPE
ejpam-3889	538	1	⊕ ims(n	PERSON
ejpam-3889	538	2	k(n	PERSON
ejpam-3889	538	3	∀n ∈	PERSON
ejpam-3889	542	1	∈ z	ORG
ejpam-3889	542	2	∀n ∈ z	PERSON
ejpam-3889	543	1	s−1(m∗/n∗	ORG
ejpam-3889	545	1	s−1(m∗/n∗	PERSON
ejpam-3889	545	2	∀n ∈ z	ORG
ejpam-3889	550	1	π(n	WORK_OF_ART
ejpam-3889	551	1	∈	ORG
ejpam-3889	568	1	0	CARDINAL
ejpam-3889	573	1	s−1(m∗/n∗	ORG
ejpam-3889	574	1	mohamed ben maaouia	PERSON
ejpam-3889	574	2	lacca	GPE
ejpam-3889	574	3	421	CARDINAL
ejpam-3889	574	4	1	CARDINAL
ejpam-3889	574	5	saint-louis	GPE
ejpam-3889	574	6	2016	DATE
ejpam-3889	574	7	2	CARDINAL
ejpam-3889	574	8	m. ben maaouia	PERSON
ejpam-3889	574	9	commutative	ORG
ejpam-3889	574	10	9, 2015	DATE
ejpam-3889	574	11	10	CARDINAL
ejpam-3889	574	12	457 474	CARDINAL
ejpam-3889	575	1	3	CARDINAL
ejpam-3889	575	2	m. ben maaouia	PERSON
ejpam-3889	575	3	m. sanghare	PERSON
ejpam-3889	575	4	11	CARDINAL
ejpam-3889	575	5	2016	DATE
ejpam-3889	575	6	22	CARDINAL
ejpam-3889	575	7	1067 1088	DATE
ejpam-3889	576	1	4	CARDINAL
ejpam-3889	576	2	a. hmainou	PERSON
ejpam-3889	576	3	a. kaidi	PERSON
ejpam-3889	576	4	e. c. sanchez	PERSON
ejpam-3889	577	1	2006	DATE
ejpam-3889	578	1	5	CARDINAL
ejpam-3889	578	2	c. nastasescu	PERSON
ejpam-3889	578	3	van oystaeyen f. graded ring	ORG
ejpam-3889	578	4	28	CARDINAL
ejpam-3889	578	5	north holland	GPE
ejpam-3889	578	6	amesterdam	GPE
ejpam-3889	579	1	1982	DATE
ejpam-3889	580	1	6	CARDINAL
ejpam-3889	580	2	e. c. dade	PERSON
ejpam-3889	581	1	z.	PERSON
ejpam-3889	581	2	174	CARDINAL
ejpam-3889	581	3	1980	DATE
ejpam-3889	581	4	241	CARDINAL
ejpam-3889	582	1	7	CARDINAL
ejpam-3889	582	2	ucad	GPE
ejpam-3889	582	3	dakar	GPE
ejpam-3889	582	4	2013	DATE
ejpam-3889	583	1	8	CARDINAL
ejpam-3889	583	2	e. enoch	PERSON
ejpam-3889	583	3	o. m.g. jenda	PERSON
ejpam-3889	583	4	2010	DATE
ejpam-3889	585	1	9	CARDINAL
ejpam-3889	585	2	f. w. anderson	PERSON
ejpam-3889	585	3	k. r. fuller	PERSON
ejpam-3889	586	1	10	CARDINAL
ejpam-3889	586	2	g. renault	PERSON
ejpam-3889	586	3	paris	GPE
ejpam-3889	586	4	1975	DATE
ejpam-3889	587	1	11	CARDINAL
ejpam-3889	587	2	j. rotman	PERSON
ejpam-3889	587	3	university of illinois	ORG
ejpam-3889	587	4	uraba	GPE
ejpam-3889	587	5	1968	DATE
ejpam-3889	588	1	12	CARDINAL
ejpam-3889	588	2	k. divaani-aazar1	PERSON
ejpam-3889	588	3	a. mafi hopfian	PERSON
ejpam-3889	588	4	vietnam	GPE
ejpam-3889	588	5	275–283	CARDINAL
ejpam-3889	588	6	2007	DATE
ejpam-3889	589	1	13	CARDINAL
ejpam-3889	589	2	k. varadarajan hopfian	PERSON
ejpam-3889	589	3	cohopfian	ORG
ejpam-3889	589	4	mathemàtiques	CARDINAL
ejpam-3889	589	5	36	CARDINAL
ejpam-3889	589	6	1992	DATE
ejpam-3889	589	7	293	CARDINAL
ejpam-3889	590	1	14	CARDINAL
ejpam-3889	590	2	l. faouzi	PERSON
ejpam-3889	590	3	tetouan	GPE
ejpam-3889	590	4	maroc	GPE
ejpam-3889	590	5	21	CARDINAL
ejpam-3889	590	6	2003	DATE
ejpam-3889	591	1	15	CARDINAL
ejpam-3889	591	2	addisonwesley publishing company	ORG
ejpam-3889	591	3	university of oxford	ORG
ejpam-3889	592	1	16	CARDINAL
ejpam-3889	592	2	m. f. maaouia	PERSON
ejpam-3889	592	3	ucad	GPE
ejpam-3889	592	4	juillet	PERSON
ejpam-3889	592	5	2009	DATE
ejpam-3889	592	6	17	CARDINAL
ejpam-3889	592	7	3ème	CARDINAL
ejpam-3889	592	8	ucad	GPE
ejpam-3889	592	9	juillet	PERSON
ejpam-3889	592	10	2003	DATE
ejpam-3889	593	1	422	CARDINAL
ejpam-3889	593	2	18	CARDINAL
ejpam-3889	593	3	m. f. maaouia	PERSON
ejpam-3889	593	4	m. sanghare	PERSON
ejpam-3889	593	5	issn 0973-1768	PERSON
ejpam-3889	593	6	6	CARDINAL
ejpam-3889	593	7	16	CARDINAL
ejpam-3889	593	8	2012	DATE
ejpam-3889	594	1	19	CARDINAL
ejpam-3889	594	2	m. mendelson	PERSON
ejpam-3889	594	3	algebras	ORG
ejpam-3889	595	1	1970	DATE
ejpam-3889	596	1	20	CARDINAL
ejpam-3889	596	2	ucad	GPE
ejpam-3889	596	3	17	CARDINAL
ejpam-3889	596	4	1993	DATE
ejpam-3889	597	1	21	CARDINAL
ejpam-3889	597	2	r. abu-dawwas	PERSON
ejpam-3889	597	3	5	CARDINAL
ejpam-3889	597	4	63	CARDINAL
ejpam-3889	597	5	3121-3126	DATE
ejpam-3889	598	1	2010	DATE
ejpam-3889	599	1	22	CARDINAL
ejpam-3889	599	2	r. abu-dawwas	PERSON
ejpam-3889	599	3	m. refai	PERSON
ejpam-3889	599	4	4	CARDINAL
ejpam-3889	599	5	28	CARDINAL
ejpam-3889	599	6	1413-1419	CARDINAL
ejpam-3889	600	1	2010	DATE
ejpam-3889	601	1	23	CARDINAL
ejpam-3889	601	2	balde	PERSON
ejpam-3889	601	3	m. ben maaouia	PERSON
ejpam-3889	601	4	a. o. schbih	PERSON
ejpam-3889	601	5	hopfian	ORG
ejpam-3889	601	6	cohopfian	ORG
ejpam-3889	601	7	12	CARDINAL
ejpam-3889	601	8	2	CARDINAL
ejpam-3889	601	9	april 2020	DATE
ejpam-3889	602	1	24	CARDINAL
ejpam-3889	602	2	a. hirmath	PERSON
ejpam-3889	602	3	hopfian	NORP
ejpam-3889	602	4	indian	NORP
ejpam-3889	603	1	j. pure	PERSON
ejpam-3889	604	1	17	CARDINAL
ejpam-3889	604	2	1986	DATE
ejpam-3889	604	3	895	CARDINAL