id	sid	eid	entity	type
ejpam-6640	1	1	european journal	ORG
ejpam-6640	1	2	2025	DATE
ejpam-6640	1	3	18	CARDINAL
ejpam-6640	1	4	4	CARDINAL
ejpam-6640	1	5	6640	CARDINAL
ejpam-6640	1	6	1307-5543	DATE
ejpam-6640	1	7	new york	GPE
ejpam-6640	2	1	homa	PERSON
ejpam-6640	2	2	abelian	NORP
ejpam-6640	2	3	ablaye diallo1,∗	PERSON
ejpam-6640	2	4	mohamed ben faraj ben maaouia1	PERSON
ejpam-6640	2	5	sanghare2 1	EVENT
ejpam-6640	2	6	ufr des sciences appliquées et technologie	ORG
ejpam-6640	2	7	gaston berger	PERSON
ejpam-6640	2	8	saint-louis	GPE
ejpam-6640	2	9	2	CARDINAL
ejpam-6640	2	10	anta diop	PERSON
ejpam-6640	2	11	ucad	GPE
ejpam-6640	2	12	dakar	GPE
ejpam-6640	2	13	senegal	GPE
ejpam-6640	3	1	abelian	NORP
ejpam-6640	6	1	ab	GPE
ejpam-6640	8	1	γ	GPE
ejpam-6640	9	1	2020	DATE
ejpam-6640	9	2	16e30	CARDINAL
ejpam-6640	9	3	20j05	CARDINAL
ejpam-6640	9	4	abelian	NORP
ejpam-6640	9	5	homological functors	ORG
ejpam-6640	9	6	abelian	NORP
ejpam-6640	9	7	homa	PERSON
ejpam-6640	9	8	x,−),homcomp(a	GPE
ejpam-6640	10	1	a. diallo	PERSON
ejpam-6640	10	2	m. b. f. b. maaouia	PERSON
ejpam-6640	10	3	mamadou.sanghare@ucad.edu.sn	DATE
ejpam-6640	10	4	1	CARDINAL
ejpam-6640	11	1	2025	CARDINAL
ejpam-6640	12	1	a. diallo	PERSON
ejpam-6640	12	2	m. b. f. b. maaouia	PERSON
ejpam-6640	12	3	m. sanghare	PERSON
ejpam-6640	13	1	j. pure	PERSON
ejpam-6640	13	2	18	CARDINAL
ejpam-6640	13	3	4	CARDINAL
ejpam-6640	13	4	2025	CARDINAL
ejpam-6640	13	5	2	CARDINAL
ejpam-6640	13	6	abelian	NORP
ejpam-6640	13	7	ab the	ORG
ejpam-6640	13	8	abelian	NORP
ejpam-6640	14	1	abelian	NORP
ejpam-6640	16	1	comp(a-mod	PERSON
ejpam-6640	20	1	1	CARDINAL
ejpam-6640	20	2	cohopfian	ORG
ejpam-6640	21	1	3	CARDINAL
ejpam-6640	22	1	4	CARDINAL
ejpam-6640	23	1	5	CARDINAL
ejpam-6640	23	2	homological algebras	ORG
ejpam-6640	24	1	6	CARDINAL
ejpam-6640	24	2	abelian	NORP
ejpam-6640	25	1	7	CARDINAL
ejpam-6640	26	1	8	CARDINAL
ejpam-6640	27	1	9],”an	CARDINAL
ejpam-6640	28	1	10	CARDINAL
ejpam-6640	28	2	abelian	NORP
ejpam-6640	28	3	11	CARDINAL
ejpam-6640	28	4	joseph .j	PERSON
ejpam-6640	30	1	12	CARDINAL
ejpam-6640	31	1	13	CARDINAL
ejpam-6640	32	1	14	CARDINAL
ejpam-6640	32	2	ahmed ould	PERSON
ejpam-6640	33	1	15	CARDINAL
ejpam-6640	33	2	charles	PERSON
ejpam-6640	34	1	16	CARDINAL
ejpam-6640	34	2	ahmed ould chbih et al	PERSON
ejpam-6640	35	1	17],[18	CARDINAL
ejpam-6640	35	2	moussa thiaw	PERSON
ejpam-6640	35	3	19	CARDINAL
ejpam-6640	36	1	section 1	LAW
ejpam-6640	36	2	abelian	NORP
ejpam-6640	38	1	section 2	LAW
ejpam-6640	38	2	abelian	NORP
ejpam-6640	39	1	abelian	NORP
ejpam-6640	40	1	∈	ORG
ejpam-6640	40	2	homa	PERSON
ejpam-6640	41	1	∈	ORG
ejpam-6640	41	2	homa	PERSON
ejpam-6640	41	3	7−→	CARDINAL
ejpam-6640	44	1	abelian	NORP
ejpam-6640	45	1	∈	ORG
ejpam-6640	45	2	homa	PERSON
ejpam-6640	46	1	∈	ORG
ejpam-6640	46	2	∈	ORG
ejpam-6640	46	3	homa	PERSON
ejpam-6640	46	4	homa	PERSON
ejpam-6640	46	5	m. b. f. b. maaouia	PERSON
ejpam-6640	46	6	m. sanghare	PERSON
ejpam-6640	47	1	j. pure	PERSON
ejpam-6640	47	2	18	CARDINAL
ejpam-6640	47	3	4	CARDINAL
ejpam-6640	47	4	2025	CARDINAL
ejpam-6640	47	5	6640 3	DATE
ejpam-6640	50	1	section 3	LAW
ejpam-6640	50	2	abelian	NORP
ejpam-6640	51	1	abelian	NORP
ejpam-6640	54	1	abelian	NORP
ejpam-6640	57	1	section 4	LAW
ejpam-6640	57	2	abelian	NORP
ejpam-6640	57	3	z.	PERSON
ejpam-6640	60	1	f //	ORG
ejpam-6640	60	2	g //	ORG
ejpam-6640	60	3	γ) //	ORG
ejpam-6640	60	4	abelian	NORP
ejpam-6640	63	1	kn+1	GPE
ejpam-6640	63	2	∗	CARDINAL
ejpam-6640	71	1	γ	GPE
ejpam-6640	71	2	//	PERSON
ejpam-6640	71	3	abelian	NORP
ejpam-6640	72	1	n ∈ z:	ORG
ejpam-6640	73	1	ker(h̃n(x,−)(g	PERSON
ejpam-6640	74	1	im(h̃n(x,−)(g	DATE
ejpam-6640	74	2	= ker(λn	PERSON
ejpam-6640	76	1	a. diallo	PERSON
ejpam-6640	76	2	m. b. f. b. maaouia	PERSON
ejpam-6640	76	3	m. sanghare	PERSON
ejpam-6640	77	1	j. pure	PERSON
ejpam-6640	77	2	18	CARDINAL
ejpam-6640	77	3	4	CARDINAL
ejpam-6640	77	4	2025	CARDINAL
ejpam-6640	77	5	6640 4	DATE
ejpam-6640	79	1	f //	ORG
ejpam-6640	79	2	g //	ORG
ejpam-6640	79	3	γ) //	ORG
ejpam-6640	79	4	abelian	NORP
ejpam-6640	80	1	γ	GPE
ejpam-6640	81	1	kn+1	GPE
ejpam-6640	81	2	g∗−1 n+2(β ∗	ORG
ejpam-6640	81	3	∀n ∈ z	PERSON
ejpam-6640	82	1	γ	GPE
ejpam-6640	82	2	h̃n(−,x)(g	PERSON
ejpam-6640	83	1	x)((z	ORG
ejpam-6640	84	1	γ	GPE
ejpam-6640	84	2	x)((z	ORG
ejpam-6640	85	1	ab	GPE
ejpam-6640	86	1	x)(g	ORG
ejpam-6640	89	1	ker(δn	PERSON
ejpam-6640	89	2	x)(g	ORG
ejpam-6640	90	1	1	CARDINAL
ejpam-6640	90	2	abelian	NORP
ejpam-6640	90	3	abelian	NORP
ejpam-6640	90	4	zero	CARDINAL
ejpam-6640	90	5	abelian	NORP
ejpam-6640	91	1	a. diallo	PERSON
ejpam-6640	91	2	m. b. f. b. maaouia	PERSON
ejpam-6640	91	3	m. sanghare	PERSON
ejpam-6640	92	1	j. pure	PERSON
ejpam-6640	92	2	18	CARDINAL
ejpam-6640	92	3	4	CARDINAL
ejpam-6640	92	4	2025	CARDINAL
ejpam-6640	92	5	6640 5	DATE
ejpam-6640	93	1	f−→	CARDINAL
ejpam-6640	95	1	zero	CARDINAL
ejpam-6640	95	2	abelian	NORP
ejpam-6640	97	1	zero	CARDINAL
ejpam-6640	97	2	abelian	NORP
ejpam-6640	97	3	0	CARDINAL
ejpam-6640	97	4	zero	CARDINAL
ejpam-6640	97	5	abelian	NORP
ejpam-6640	101	1	f−→	MONEY
ejpam-6640	101	2	y g−→ z	PERSON
ejpam-6640	101	3	0	CARDINAL
ejpam-6640	103	1	zero	CARDINAL
ejpam-6640	103	2	abelian	NORP
ejpam-6640	103	3	0	CARDINAL
ejpam-6640	103	4	zero	CARDINAL
ejpam-6640	103	5	abelian	NORP
ejpam-6640	103	6	0	CARDINAL
ejpam-6640	103	7	zero	CARDINAL
ejpam-6640	103	8	abelian	NORP
ejpam-6640	107	1	f−→	CARDINAL
ejpam-6640	107	2	y g−→ z	PERSON
ejpam-6640	107	3	0	CARDINAL
ejpam-6640	109	1	is: g	GPE
ejpam-6640	109	2	zero	CARDINAL
ejpam-6640	109	3	abelian	NORP
ejpam-6640	110	1	zero	CARDINAL
ejpam-6640	110	2	abelian	NORP
ejpam-6640	110	3	0	CARDINAL
ejpam-6640	110	4	zero	CARDINAL
ejpam-6640	110	5	abelian	NORP
ejpam-6640	110	6	0	CARDINAL
ejpam-6640	110	7	zero	CARDINAL
ejpam-6640	110	8	abelian	NORP
ejpam-6640	113	1	a. diallo	PERSON
ejpam-6640	113	2	m. b. f. b. maaouia	PERSON
ejpam-6640	113	3	m. sanghare	PERSON
ejpam-6640	114	1	j. pure	PERSON
ejpam-6640	114	2	18	CARDINAL
ejpam-6640	114	3	4	CARDINAL
ejpam-6640	114	4	2025	CARDINAL
ejpam-6640	114	5	6	CARDINAL
ejpam-6640	114	6	28	CARDINAL
ejpam-6640	114	7	1	CARDINAL
ejpam-6640	114	8	0	CARDINAL
ejpam-6640	114	9	zero	CARDINAL
ejpam-6640	116	1	abelian	NORP
ejpam-6640	119	1	zero	CARDINAL
ejpam-6640	119	2	abelian	NORP
ejpam-6640	123	1	two	CARDINAL
ejpam-6640	127	1	f //	ORG
ejpam-6640	128	1	g //	ORG
ejpam-6640	128	2	γ) //	ORG
ejpam-6640	128	3	abelian	NORP
ejpam-6640	130	1	gn // tn // 0	ORG
ejpam-6640	133	1	f //	ORG
ejpam-6640	133	2	g //	ORG
ejpam-6640	133	3	abelian	NORP
ejpam-6640	134	1	0 //	ORG
ejpam-6640	135	1	// zn	WORK_OF_ART
ejpam-6640	135	2	gn // tn	ORG
ejpam-6640	138	1	f //	ORG
ejpam-6640	138	2	g //	ORG
ejpam-6640	138	3	γ) //	ORG
ejpam-6640	138	4	abelian	NORP
ejpam-6640	139	1	0 //	ORG
ejpam-6640	140	1	// zn	WORK_OF_ART
ejpam-6640	140	2	gn // tn // 0	ORG
ejpam-6640	141	1	abelian	NORP
ejpam-6640	142	1	abelian	NORP
ejpam-6640	144	1	319	CARDINAL
ejpam-6640	145	1	9	CARDINAL
ejpam-6640	146	1	abelian	NORP
ejpam-6640	147	1	abelian	NORP
ejpam-6640	149	1	abelian	NORP
ejpam-6640	155	1	a. diallo	PERSON
ejpam-6640	155	2	m. b. f. b. maaouia	PERSON
ejpam-6640	155	3	m. sanghare	PERSON
ejpam-6640	156	1	j. pure	PERSON
ejpam-6640	156	2	18	CARDINAL
ejpam-6640	156	3	4	CARDINAL
ejpam-6640	156	4	2025	CARDINAL
ejpam-6640	156	5	6640 7	DATE
ejpam-6640	163	1	1	CARDINAL
ejpam-6640	163	2	abelian	NORP
ejpam-6640	164	1	2	CARDINAL
ejpam-6640	164	2	abelian	NORP
ejpam-6640	165	1	zero	CARDINAL
ejpam-6640	166	1	zero	CARDINAL
ejpam-6640	168	1	zero	CARDINAL
ejpam-6640	169	1	two	CARDINAL
ejpam-6640	175	1	zero	CARDINAL
ejpam-6640	176	1	y ⇒	PERSON
ejpam-6640	178	1	∈	ORG
ejpam-6640	178	2	abelian	NORP
ejpam-6640	190	1	zero	CARDINAL
ejpam-6640	191	1	a. diallo	PERSON
ejpam-6640	191	2	m. b. f. b. maaouia	PERSON
ejpam-6640	191	3	m. sanghare	PERSON
ejpam-6640	192	1	j. pure	PERSON
ejpam-6640	192	2	18	CARDINAL
ejpam-6640	192	3	4	CARDINAL
ejpam-6640	192	4	2025	CARDINAL
ejpam-6640	192	5	6640 8 of 28	DATE
ejpam-6640	195	1	∈	ORG
ejpam-6640	195	2	abelian	NORP
ejpam-6640	202	1	n(f	PERSON
ejpam-6640	202	2	zero	CARDINAL
ejpam-6640	203	1	zero	CARDINAL
ejpam-6640	204	1	two	CARDINAL
ejpam-6640	210	1	zero	CARDINAL
ejpam-6640	213	1	zero	CARDINAL
ejpam-6640	215	1	t .	GPE
ejpam-6640	216	1	∈	ORG
ejpam-6640	216	2	abelian	NORP
ejpam-6640	229	1	zero	CARDINAL
ejpam-6640	230	1	abelian	NORP
ejpam-6640	231	1	homa	PERSON
ejpam-6640	231	2	a. diallo	PERSON
ejpam-6640	231	3	m. b. f. b. maaouia	PERSON
ejpam-6640	231	4	m. sanghare	PERSON
ejpam-6640	232	1	j. pure	PERSON
ejpam-6640	232	2	18	CARDINAL
ejpam-6640	232	3	4	CARDINAL
ejpam-6640	232	4	2025	CARDINAL
ejpam-6640	232	5	6640 9	DATE
ejpam-6640	232	6	∈	ORG
ejpam-6640	232	7	homa	PERSON
ejpam-6640	233	1	∀f	PERSON
ejpam-6640	233	2	∈	ORG
ejpam-6640	233	3	homa	PERSON
ejpam-6640	234	1	7−→	CARDINAL
ejpam-6640	237	1	•	CARDINAL
ejpam-6640	238	1	g //	ORG
ejpam-6640	238	2	// homa	PERSON
ejpam-6640	238	3	homa	PERSON
ejpam-6640	238	4	// homa	PERSON
ejpam-6640	239	1	ker(f∗	GPE
ejpam-6640	240	1	zero	CARDINAL
ejpam-6640	242	1	•	CARDINAL
ejpam-6640	242	2	ker(f∗	GPE
ejpam-6640	243	1	abelian	NORP
ejpam-6640	243	2	∈	ORG
ejpam-6640	245	1	zero	CARDINAL
ejpam-6640	245	2	abelian	NORP
ejpam-6640	246	1	ϕ ∈ ker(f∗	ORG
ejpam-6640	250	1	∈	ORG
ejpam-6640	250	2	abelian	NORP
ejpam-6640	254	1	ϕ⇒	DATE
ejpam-6640	265	1	a. diallo	PERSON
ejpam-6640	265	2	m. b. f. b. maaouia	PERSON
ejpam-6640	265	3	m. sanghare	PERSON
ejpam-6640	266	1	j. pure	PERSON
ejpam-6640	266	2	18	CARDINAL
ejpam-6640	266	3	4	CARDINAL
ejpam-6640	266	4	2025	CARDINAL
ejpam-6640	266	5	6640 10 of 28	DATE
ejpam-6640	266	6	zero	CARDINAL
ejpam-6640	268	1	bylemma 2	PERSON
ejpam-6640	271	1	ker(f∗	ORG
ejpam-6640	272	1	•	CARDINAL
ejpam-6640	273	1	first	ORDINAL
ejpam-6640	274	1	homa	PERSON
ejpam-6640	274	2	homa	PERSON
ejpam-6640	274	3	zero	CARDINAL
ejpam-6640	274	4	abelian	NORP
ejpam-6640	274	5	homa	PERSON
ejpam-6640	275	1	homa	PERSON
ejpam-6640	275	2	homa	PERSON
ejpam-6640	276	1	∈	ORG
ejpam-6640	280	1	∈	ORG
ejpam-6640	280	2	abelian	NORP
ejpam-6640	281	1	homa	PERSON
ejpam-6640	284	1	∈	ORG
ejpam-6640	285	1	∈	PRODUCT
ejpam-6640	287	1	0	CARDINAL
ejpam-6640	287	2	0	CARDINAL
ejpam-6640	287	3	a. diallo	PERSON
ejpam-6640	287	4	m. b. f. b. maaouia	PERSON
ejpam-6640	287	5	m. sanghare	PERSON
ejpam-6640	288	1	j. pure	PERSON
ejpam-6640	288	2	18	CARDINAL
ejpam-6640	288	3	4	CARDINAL
ejpam-6640	288	4	2025	CARDINAL
ejpam-6640	288	5	6640 11	DATE
ejpam-6640	288	6	28	CARDINAL
ejpam-6640	288	7	0	CARDINAL
ejpam-6640	288	8	k99	PERSON
ejpam-6640	289	1	g //	ORG
ejpam-6640	289	2	∈	PRODUCT
ejpam-6640	290	1	t ⇒	GPE
ejpam-6640	291	1	con(h	ORG
ejpam-6640	291	2	0	CARDINAL
ejpam-6640	291	3	lemma 2,	ORG
ejpam-6640	293	1	h′	PERSON
ejpam-6640	293	2	1k	CARDINAL
ejpam-6640	294	1	k99	PERSON
ejpam-6640	296	1	h′ f	ORG
ejpam-6640	297	1	g //	ORG
ejpam-6640	299	1	1k	CARDINAL
ejpam-6640	299	2	h′	GPE
ejpam-6640	299	3	h′ ◦	ORG
ejpam-6640	302	1	homa	PERSON
ejpam-6640	302	2	•	CARDINAL
ejpam-6640	304	1	g // t // 0 a. diallo	ORG
ejpam-6640	304	2	m. b. f. b. maaouia	PERSON
ejpam-6640	304	3	m. sanghare	PERSON
ejpam-6640	305	1	j. pure	PERSON
ejpam-6640	305	2	18	CARDINAL
ejpam-6640	305	3	4	CARDINAL
ejpam-6640	305	4	2025	CARDINAL
ejpam-6640	305	5	6640 12	DATE
ejpam-6640	305	6	28	CARDINAL
ejpam-6640	305	7	// homa	PERSON
ejpam-6640	305	8	homa	PERSON
ejpam-6640	305	9	// homa	PERSON
ejpam-6640	306	1	// homa	PERSON
ejpam-6640	306	2	homa	PERSON
ejpam-6640	306	3	// homa	PERSON
ejpam-6640	309	1	↠	ORDINAL
ejpam-6640	310	1	// //	ORG
ejpam-6640	310	2	t // 0	ORG
ejpam-6640	310	3	∈	ORG
ejpam-6640	310	4	∈	ORG
ejpam-6640	311	1	homa	PERSON
ejpam-6640	312	1	•	CARDINAL
ejpam-6640	313	1	homa	PERSON
ejpam-6640	314	1	g // t // 0	ORG
ejpam-6640	314	2	// homa	PERSON
ejpam-6640	314	3	homa	PERSON
ejpam-6640	314	4	// homa	PERSON
ejpam-6640	316	1	↠	ORDINAL
ejpam-6640	318	1	// //	ORG
ejpam-6640	320	1	abelian	NORP
ejpam-6640	321	1	homa	PERSON
ejpam-6640	321	2	a. diallo	PERSON
ejpam-6640	321	3	m. b. f. b. maaouia	PERSON
ejpam-6640	321	4	m. sanghare	PERSON
ejpam-6640	322	1	j. pure	PERSON
ejpam-6640	322	2	18	CARDINAL
ejpam-6640	322	3	4	CARDINAL
ejpam-6640	322	4	2025	CARDINAL
ejpam-6640	322	5	6640 13	DATE
ejpam-6640	322	6	∈	ORG
ejpam-6640	322	7	homa	PERSON
ejpam-6640	323	1	∈	ORG
ejpam-6640	323	2	∀f	PERSON
ejpam-6640	323	3	∈	ORG
ejpam-6640	323	4	homa	PERSON
ejpam-6640	324	1	homa	PERSON
ejpam-6640	327	1	•	CARDINAL
ejpam-6640	328	1	y f // z	PERSON
ejpam-6640	328	2	g // t // 0	ORG
ejpam-6640	329	1	homa	PERSON
ejpam-6640	329	2	// homa	PERSON
ejpam-6640	329	3	homa	PERSON
ejpam-6640	329	4	x)=f∗ // homa	PERSON
ejpam-6640	330	1	ker g∗	PERSON
ejpam-6640	330	2	zero	CARDINAL
ejpam-6640	331	1	zero	CARDINAL
ejpam-6640	332	1	lemma 2	ORG
ejpam-6640	333	1	homa	PERSON
ejpam-6640	333	2	homa	PERSON
ejpam-6640	334	1	homa	PERSON
ejpam-6640	334	2	∈	ORG
ejpam-6640	337	1	g, n(g	ORG
ejpam-6640	337	2	zero	CARDINAL
ejpam-6640	337	3	lemma 2	ORG
ejpam-6640	338	1	homa	PERSON
ejpam-6640	339	1	•	CARDINAL
ejpam-6640	339	2	first	ORDINAL
ejpam-6640	339	3	zero	CARDINAL
ejpam-6640	339	4	abelian	NORP
ejpam-6640	341	1	homa	PERSON
ejpam-6640	341	2	homa	PERSON
ejpam-6640	342	1	a. diallo	PERSON
ejpam-6640	342	2	m. b. f. b. maaouia	PERSON
ejpam-6640	342	3	m. sanghare	PERSON
ejpam-6640	343	1	j. pure	PERSON
ejpam-6640	343	2	18	CARDINAL
ejpam-6640	343	3	4	CARDINAL
ejpam-6640	343	4	2025	CARDINAL
ejpam-6640	343	5	6640 14	DATE
ejpam-6640	343	6	28	CARDINAL
ejpam-6640	343	7	∈	ORG
ejpam-6640	348	1	∈	ORG
ejpam-6640	348	2	abelian	NORP
ejpam-6640	351	1	f∗.	GPE
ejpam-6640	351	2	ker(f∗	GPE
ejpam-6640	353	1	ker(f∗	PERSON
ejpam-6640	354	1	∈	ORG
ejpam-6640	355	1	ϕ ∈ ker(f∗	ORG
ejpam-6640	356	1	ϕ ∈ ker(f∗	ORG
ejpam-6640	359	1	y f // z	PERSON
ejpam-6640	359	2	g // t // 0	ORG
ejpam-6640	368	1	1	CARDINAL
ejpam-6640	369	1	j. a. diallo	PERSON
ejpam-6640	369	2	m. b. f. b. maaouia	PERSON
ejpam-6640	369	3	m. sanghare	PERSON
ejpam-6640	370	1	j. pure	PERSON
ejpam-6640	370	2	18	CARDINAL
ejpam-6640	370	3	4	CARDINAL
ejpam-6640	370	4	2025	CARDINAL
ejpam-6640	370	5	6640 15	DATE
ejpam-6640	370	6	28	CARDINAL
ejpam-6640	371	1	j = ϕ.	PERSON
ejpam-6640	372	1	99	CARDINAL
ejpam-6640	372	2	j // ϕ	PERSON
ejpam-6640	374	1	∈	ORG
ejpam-6640	375	1	ker(f∗	GPE
ejpam-6640	376	1	homa	PERSON
ejpam-6640	377	1	•	CARDINAL
ejpam-6640	379	1	g // t // 0	ORG
ejpam-6640	380	1	homa	PERSON
ejpam-6640	380	2	// homa	PERSON
ejpam-6640	380	3	homa	PERSON
ejpam-6640	380	4	x)=f∗ // homa	PERSON
ejpam-6640	381	1	1	CARDINAL
ejpam-6640	381	2	homa	PERSON
ejpam-6640	381	3	// homa	PERSON
ejpam-6640	381	4	homa	PERSON
ejpam-6640	381	5	x)=f∗ // homa	PERSON
ejpam-6640	384	1	0 //	ORG
ejpam-6640	387	1	m. b. f. b. maaouia	PERSON
ejpam-6640	387	2	m. sanghare	PERSON
ejpam-6640	388	1	j. pure	PERSON
ejpam-6640	388	2	18	CARDINAL
ejpam-6640	388	3	4	CARDINAL
ejpam-6640	388	4	2025	CARDINAL
ejpam-6640	388	5	6640 16	DATE
ejpam-6640	388	6	28	CARDINAL
ejpam-6640	388	7	∈	ORG
ejpam-6640	388	8	∈	ORG
ejpam-6640	388	9	homa	PERSON
ejpam-6640	389	1	•	CARDINAL
ejpam-6640	390	1	homa	PERSON
ejpam-6640	391	1	g // t // 0	ORG
ejpam-6640	392	1	homa	PERSON
ejpam-6640	392	2	// homa	PERSON
ejpam-6640	392	3	homa	PERSON
ejpam-6640	392	4	x)=f∗ // homa	PERSON
ejpam-6640	395	1	0 //	ORG
ejpam-6640	399	1	homa	PERSON
ejpam-6640	400	1	3	CARDINAL
ejpam-6640	400	2	abelian	NORP
ejpam-6640	409	1	f //	ORG
ejpam-6640	409	2	g //	ORG
ejpam-6640	409	3	abelian	NORP
ejpam-6640	410	1	x,−)((0	GPE
ejpam-6640	411	1	// homcomp(a	PERSON
ejpam-6640	411	2	x,−)((z	GPE
ejpam-6640	411	3	g∗ //	ORG
ejpam-6640	411	4	a. diallo	PERSON
ejpam-6640	411	5	m. b. f. b. maaouia	PERSON
ejpam-6640	411	6	m. sanghare	PERSON
ejpam-6640	412	1	j. pure	PERSON
ejpam-6640	412	2	18	CARDINAL
ejpam-6640	412	3	4	CARDINAL
ejpam-6640	412	4	2025	CARDINAL
ejpam-6640	412	5	6640 17	DATE
ejpam-6640	413	1	x,−)((0	GPE
ejpam-6640	415	1	n+1 //	ORG
ejpam-6640	416	1	x,−)((z	GPE
ejpam-6640	417	1	//	ORG
ejpam-6640	419	1	2	CARDINAL
ejpam-6640	420	1	homa	PERSON
ejpam-6640	420	2	homa	PERSON
ejpam-6640	421	1	x,−)((0	GPE
ejpam-6640	423	1	f // homcomp(a	PRODUCT
ejpam-6640	423	2	x,−)((z	GPE
ejpam-6640	424	1	g // homcomp(a	PERSON
ejpam-6640	425	1	i.a	DATE
ejpam-6640	426	1	ifx	ORG
ejpam-6640	427	1	f //	ORG
ejpam-6640	427	2	g //	ORG
ejpam-6640	427	3	x,−)((0	GPE
ejpam-6640	428	1	// homcomp(a	PERSON
ejpam-6640	428	2	x,−)((z	GPE
ejpam-6640	428	3	g∗ //	ORG
ejpam-6640	429	1	x,−)((0	GPE
ejpam-6640	430	1	dia	ORG
ejpam-6640	430	2	diallo	ORG
ejpam-6640	430	3	m. b. f. b. maaouia	PERSON
ejpam-6640	430	4	m. sanghare	PERSON
ejpam-6640	431	1	j. pure	PERSON
ejpam-6640	431	2	18	CARDINAL
ejpam-6640	431	3	4	CARDINAL
ejpam-6640	431	4	2025	CARDINAL
ejpam-6640	431	5	6640 18	DATE
ejpam-6640	431	6	28	CARDINAL
ejpam-6640	433	1	n+1 //	ORG
ejpam-6640	434	1	x,−)((z	GPE
ejpam-6640	435	1	//	ORG
ejpam-6640	440	1	g∗n	ORG
ejpam-6640	441	1	zn	CARDINAL
ejpam-6640	441	2	gn ◦	ORG
ejpam-6640	445	1	gn // // tn // 0	ORG
ejpam-6640	449	1	g //	ORG
ejpam-6640	449	2	x,−)((0	GPE
ejpam-6640	450	1	// homcomp(a	PERSON
ejpam-6640	450	2	x,−)((z	GPE
ejpam-6640	450	3	g∗ //	ORG
ejpam-6640	451	1	x,−)((0	GPE
ejpam-6640	452	1	i.	PERSON
ejpam-6640	452	2	x,−)((0	GPE
ejpam-6640	453	1	// homcomp(a	PERSON
ejpam-6640	453	2	x,−)((z	GPE
ejpam-6640	453	3	g∗ //	ORG
ejpam-6640	454	1	gn	PERSON
ejpam-6640	455	1	2	CARDINAL
ejpam-6640	456	1	zn	CARDINAL
ejpam-6640	456	2	a. diallo	PERSON
ejpam-6640	456	3	m. b. f. b. maaouia	PERSON
ejpam-6640	456	4	m. sanghare	PERSON
ejpam-6640	457	1	j. pure	PERSON
ejpam-6640	457	2	18	CARDINAL
ejpam-6640	457	3	4	CARDINAL
ejpam-6640	457	4	2025	CARDINAL
ejpam-6640	457	5	6640 19 of 28	DATE
ejpam-6640	457	6	gn ◦	ORG
ejpam-6640	460	1	gn // // tn // 0	ORG
ejpam-6640	460	2	∈	ORG
ejpam-6640	461	1	gn ◦	ORG
ejpam-6640	463	1	z. therefore	PERSON
ejpam-6640	464	1	ii.2	ORG
ejpam-6640	465	1	abelian	NORP
ejpam-6640	469	1	i.	PERSON
ejpam-6640	475	1	g //	ORG
ejpam-6640	475	2	abelian	NORP
ejpam-6640	477	1	g∗ //	ORG
ejpam-6640	477	2	x)((z	ORG
ejpam-6640	478	1	//	PERSON
ejpam-6640	479	1	a. diallo	PERSON
ejpam-6640	479	2	m. b. f. b. maaouia	PERSON
ejpam-6640	479	3	m. sanghare	PERSON
ejpam-6640	480	1	j. pure	PERSON
ejpam-6640	480	2	18	CARDINAL
ejpam-6640	480	3	4	CARDINAL
ejpam-6640	480	4	2025	CARDINAL
ejpam-6640	480	5	6640 20	DATE
ejpam-6640	480	6	28	CARDINAL
ejpam-6640	481	1	x)((z	ORG
ejpam-6640	486	1	2	CARDINAL
ejpam-6640	486	2	n //	ORG
ejpam-6640	487	1	n //	ORG
ejpam-6640	489	1	g∗ //	ORG
ejpam-6640	489	2	x)((z	ORG
ejpam-6640	490	1	//	PERSON
ejpam-6640	494	1	f //	ORG
ejpam-6640	494	2	g //	ORG
ejpam-6640	495	1	g∗ //	ORG
ejpam-6640	495	2	x)((z	ORG
ejpam-6640	496	1	//	PERSON
ejpam-6640	498	1	a. diallo	PERSON
ejpam-6640	498	2	m. b. f. b. maaouia	PERSON
ejpam-6640	498	3	m. sanghare	PERSON
ejpam-6640	499	1	j. pure	PERSON
ejpam-6640	499	2	18	CARDINAL
ejpam-6640	499	3	4	CARDINAL
ejpam-6640	499	4	2025	CARDINAL
ejpam-6640	499	5	6640 21	DATE
ejpam-6640	499	6	28	CARDINAL
ejpam-6640	500	1	x)((z	ORG
ejpam-6640	506	1	f∗n	PERSON
ejpam-6640	510	1	ii.2	ORG
ejpam-6640	510	2	thatx	ORG
ejpam-6640	511	1	f //	ORG
ejpam-6640	513	1	g //	ORG
ejpam-6640	515	1	g∗ //	ORG
ejpam-6640	515	2	x)((z	ORG
ejpam-6640	516	1	//	PERSON
ejpam-6640	519	1	g∗ //	ORG
ejpam-6640	519	2	x)((z	ORG
ejpam-6640	520	1	//	PERSON
ejpam-6640	522	1	2	CARDINAL
ejpam-6640	523	1	a. diallo	PERSON
ejpam-6640	523	2	m. b. f. b. maaouia	PERSON
ejpam-6640	523	3	m. sanghare	PERSON
ejpam-6640	524	1	j. pure	PERSON
ejpam-6640	524	2	18	CARDINAL
ejpam-6640	524	3	4	CARDINAL
ejpam-6640	524	4	2025	CARDINAL
ejpam-6640	524	5	6640 22	DATE
ejpam-6640	524	6	28	DATE
ejpam-6640	527	1	∈	ORG
ejpam-6640	530	1	homa	PERSON
ejpam-6640	532	1	ii.2	ORG
ejpam-6640	533	1	4	CARDINAL
ejpam-6640	533	2	comp(a-mod	PERSON
ejpam-6640	534	1	abelian	NORP
ejpam-6640	536	1	h̃n(x,−)((y	DATE
ejpam-6640	537	1	kerβ∗n+1	ORG
ejpam-6640	537	2	zn+1)n∈z	PERSON
ejpam-6640	537	3	yn −→ zn)n∈z	ORG
ejpam-6640	539	1	x,−))((z	ORG
ejpam-6640	542	1	comp(a-mod	PERSON
ejpam-6640	542	2	hn(y	NORP
ejpam-6640	543	1	a. diallo	PERSON
ejpam-6640	543	2	m. b. f. b. maaouia	PERSON
ejpam-6640	543	3	m. sanghare	PERSON
ejpam-6640	544	1	j. pure	PERSON
ejpam-6640	544	2	18	CARDINAL
ejpam-6640	544	3	4	CARDINAL
ejpam-6640	544	4	2025	CARDINAL
ejpam-6640	544	5	6640 23	DATE
ejpam-6640	544	6	zn+1)n∈z	PERSON
ejpam-6640	544	7	yn −→ zn)n∈z	ORG
ejpam-6640	545	1	hn(y	NORP
ejpam-6640	546	1	− mod	PERSON
ejpam-6640	547	1	3	CARDINAL
ejpam-6640	548	1	two	CARDINAL
ejpam-6640	548	2	1	CARDINAL
ejpam-6640	548	3	2	DATE
ejpam-6640	553	1	f //	ORG
ejpam-6640	553	2	g //	ORG
ejpam-6640	553	3	γ) //	ORG
ejpam-6640	553	4	abelian	NORP
ejpam-6640	555	1	kn+1	GPE
ejpam-6640	555	2	∗	CARDINAL
ejpam-6640	556	1	∀n ∈	PERSON
ejpam-6640	560	1	γ	GPE
ejpam-6640	563	1	γ	GPE
ejpam-6640	564	1	abelian	NORP
ejpam-6640	565	1	n ∈ z:	ORG
ejpam-6640	566	1	ker(h̃n(x,−)(g	PERSON
ejpam-6640	567	1	im(h̃n(x,−)(g	DATE
ejpam-6640	567	2	= ker(λn	PERSON
ejpam-6640	569	1	comp(a-mod	PERSON
ejpam-6640	569	2	a. diallo	PERSON
ejpam-6640	569	3	m. b. f. b. maaouia	PERSON
ejpam-6640	569	4	m. sanghare	PERSON
ejpam-6640	570	1	j. pure	PERSON
ejpam-6640	570	2	18	CARDINAL
ejpam-6640	570	3	4	CARDINAL
ejpam-6640	570	4	2025	CARDINAL
ejpam-6640	570	5	6640 24	DATE
ejpam-6640	570	6	28	CARDINAL
ejpam-6640	571	1	f //	ORG
ejpam-6640	571	2	g //	ORG
ejpam-6640	571	3	γ) //	ORG
ejpam-6640	573	1	kn+1	GPE
ejpam-6640	573	2	n+2(βn+1(g	ORG
ejpam-6640	574	1	3	CARDINAL
ejpam-6640	574	2	abelian	NORP
ejpam-6640	575	1	kn+1	GPE
ejpam-6640	575	2	∗	CARDINAL
ejpam-6640	577	1	hn : comp(ab) −→ ab	ORG
ejpam-6640	578	1	3	CARDINAL
ejpam-6640	578	2	abelian	NORP
ejpam-6640	579	1	ab	GPE
ejpam-6640	580	1	− mod	PERSON
ejpam-6640	580	2	ab	GPE
ejpam-6640	586	1	γ	GPE
ejpam-6640	589	1	γ	GPE
ejpam-6640	591	1	abelian	NORP
ejpam-6640	592	1	abelian	NORP
ejpam-6640	595	1	x))((y	ORG
ejpam-6640	596	1	kerβ∗n+1	ORG
ejpam-6640	596	2	yn → zn)n∈z	ORG
ejpam-6640	597	1	x)((z	ORG
ejpam-6640	599	1	7−→	CARDINAL
ejpam-6640	601	1	comp(a-mod	PERSON
ejpam-6640	601	2	a. diallo	PERSON
ejpam-6640	601	3	m. b. f. b. maaouia	PERSON
ejpam-6640	601	4	m. sanghare	PERSON
ejpam-6640	602	1	j. pure	PERSON
ejpam-6640	602	2	18	CARDINAL
ejpam-6640	602	3	4	CARDINAL
ejpam-6640	602	4	2025	CARDINAL
ejpam-6640	602	5	6640 25	DATE
ejpam-6640	603	1	∀n ∈ z	DATE
ejpam-6640	606	1	7−→	CARDINAL
ejpam-6640	606	2	− mod	PERSON
ejpam-6640	607	1	3	CARDINAL
ejpam-6640	610	1	1	CARDINAL
ejpam-6640	610	2	2	CARDINAL
ejpam-6640	613	1	f //	ORG
ejpam-6640	613	2	g //	ORG
ejpam-6640	613	3	γ) //	ORG
ejpam-6640	613	4	abelian	NORP
ejpam-6640	614	1	γ	GPE
ejpam-6640	615	1	kn+1	GPE
ejpam-6640	615	2	g∗−1 n+2(β ∗	ORG
ejpam-6640	615	3	∀n ∈ z	PERSON
ejpam-6640	616	1	γ	GPE
ejpam-6640	616	2	h̃n(−,x)(g	PERSON
ejpam-6640	617	1	x)((z	ORG
ejpam-6640	618	1	γ	GPE
ejpam-6640	618	2	x)((z	ORG
ejpam-6640	619	1	ab	GPE
ejpam-6640	620	1	x)(g	ORG
ejpam-6640	623	1	ker(δn	PERSON
ejpam-6640	623	2	x)(g	ORG
ejpam-6640	624	1	a. diallo	PERSON
ejpam-6640	624	2	m. b. f. b. maaouia	PERSON
ejpam-6640	624	3	m. sanghare	PERSON
ejpam-6640	625	1	j. pure	PERSON
ejpam-6640	625	2	18	CARDINAL
ejpam-6640	625	3	4	CARDINAL
ejpam-6640	625	4	2025	CARDINAL
ejpam-6640	625	5	6640 26	DATE
ejpam-6640	625	6	comp(a-mod	PERSON
ejpam-6640	626	1	f //	ORG
ejpam-6640	627	1	g //	ORG
ejpam-6640	627	2	γ) //	ORG
ejpam-6640	628	1	kn+1	GPE
ejpam-6640	628	2	7−→	CARDINAL
ejpam-6640	628	3	n+2(βn+1(f −1 n+1(kn+1	CARDINAL
ejpam-6640	630	1	3	CARDINAL
ejpam-6640	630	2	abelian	NORP
ejpam-6640	630	3	γ	GPE
ejpam-6640	631	1	kn+1	GPE
ejpam-6640	631	2	g∗−1 n+2(β ∗	ORG
ejpam-6640	633	1	hn : comp(ab) −→ ab	ORG
ejpam-6640	634	1	3	CARDINAL
ejpam-6640	634	2	abelian	NORP
ejpam-6640	635	1	ab	GPE
ejpam-6640	636	1	− mod	PERSON
ejpam-6640	636	2	ab	GPE
ejpam-6640	640	1	γ	GPE
ejpam-6640	640	2	h̃n(−,x)(g	PERSON
ejpam-6640	641	1	x)((z	ORG
ejpam-6640	642	1	γ	GPE
ejpam-6640	642	2	x)((z	ORG
ejpam-6640	643	1	abelian	NORP
ejpam-6640	644	1	5	CARDINAL
ejpam-6640	644	2	homa	PERSON
ejpam-6640	644	3	abelian	NORP
ejpam-6640	647	1	−→ a. diallo	PERSON
ejpam-6640	647	2	m. b. f. b. maaouia	PERSON
ejpam-6640	647	3	m. sanghare	PERSON
ejpam-6640	648	1	j. pure	PERSON
ejpam-6640	648	2	18	CARDINAL
ejpam-6640	648	3	4	CARDINAL
ejpam-6640	648	4	2025	CARDINAL
ejpam-6640	648	5	6640 27	DATE
ejpam-6640	649	1	ab	GPE
ejpam-6640	649	2	abelian	NORP
ejpam-6640	650	1	γ	GPE
ejpam-6640	650	2	ab	GPE
ejpam-6640	650	3	abelian	NORP
ejpam-6640	651	1	1	CARDINAL
ejpam-6640	651	2	mohamed ben faraj ben maaouia	PERSON
ejpam-6640	653	1	moroccan	NORP
ejpam-6640	653	2	algebras	ORG
ejpam-6640	653	3	253–271	CARDINAL
ejpam-6640	654	1	2018	DATE
ejpam-6640	655	1	2	CARDINAL
ejpam-6640	655	2	mohamed ben faraj ben maaouia	PERSON
ejpam-6640	657	1	12(4):1–65	DATE
ejpam-6640	657	2	2020	DATE
ejpam-6640	658	1	3	CARDINAL
ejpam-6640	658	2	balde	ORG
ejpam-6640	658	3	mohamed ben faraj ben maaouia	PERSON
ejpam-6640	658	4	ahmed ould chbih	PERSON
ejpam-6640	659	1	hopfian	ORG
ejpam-6640	659	2	cohopfian	ORG
ejpam-6640	660	1	european journal	ORG
ejpam-6640	660	2	14(2):404–422	DATE
ejpam-6640	660	3	2021	CARDINAL
ejpam-6640	661	1	4	CARDINAL
ejpam-6640	661	2	moussa thiaw	PERSON
ejpam-6640	662	1	foncteur	WORK_OF_ART
ejpam-6640	663	1	gaston berger	PERSON
ejpam-6640	663	2	saint-louis	GPE
ejpam-6640	663	3	2020	DATE
ejpam-6640	664	1	5	CARDINAL
ejpam-6640	664	2	friedrich kasch	PERSON
ejpam-6640	664	3	17	CARDINAL
ejpam-6640	665	1	1982	DATE
ejpam-6640	666	1	6	CARDINAL
ejpam-6640	666	2	joseph j rotman	PERSON
ejpam-6640	667	1	homological algebras	ORG
ejpam-6640	667	2	university of illinois	ORG
ejpam-6640	668	1	urbana	GPE
ejpam-6640	668	2	1968	DATE
ejpam-6640	669	1	7	CARDINAL
ejpam-6640	669	2	peter j freyd	PERSON
ejpam-6640	670	1	abelian	NORP
ejpam-6640	670	2	1964	DATE
ejpam-6640	671	1	harper & row	ORG
ejpam-6640	671	2	new york	GPE
ejpam-6640	671	3	1964	DATE
ejpam-6640	672	1	8	CARDINAL
ejpam-6640	672	2	pierre gabriel	PERSON
ejpam-6640	674	1	bulletin de la société	PERSON
ejpam-6640	674	2	90:323–448, 1962	DATE
ejpam-6640	675	1	9	CARDINAL
ejpam-6640	675	2	joseph j rotman	PERSON
ejpam-6640	677	1	2nd	ORDINAL
ejpam-6640	677	2	2009	DATE
ejpam-6640	678	1	10	CARDINAL
ejpam-6640	678	2	charles	PERSON
ejpam-6640	679	1	38	CARDINAL
ejpam-6640	680	1	cambridge university press	ORG
ejpam-6640	680	2	1994	DATE
ejpam-6640	681	1	11	CARDINAL
ejpam-6640	682	1	hopficité et co-hopficité	ORG
ejpam-6640	683	1	anta diop	PERSON
ejpam-6640	683	2	2014	DATE
ejpam-6640	684	1	12	CARDINAL
ejpam-6640	684	2	mathieu dupont et al	PERSON
ejpam-6640	685	1	2	CARDINAL
ejpam-6640	685	2	phd thesis	PERSON
ejpam-6640	685	3	2008	DATE
ejpam-6640	685	4	english	LANGUAGE
ejpam-6640	685	5	2008	DATE
ejpam-6640	686	1	13	CARDINAL
ejpam-6640	686	2	sebastian posur	PERSON
ejpam-6640	688	1	2021	DATE
ejpam-6640	689	1	14	CARDINAL
ejpam-6640	690	1	foncteur	PERSON
ejpam-6640	690	2	dans la	PERSON
ejpam-6640	690	3	a. diallo	PERSON
ejpam-6640	690	4	m. b. f. b. maaouia	PERSON
ejpam-6640	690	5	m. sanghare	PERSON
ejpam-6640	691	1	j. pure	PERSON
ejpam-6640	691	2	18	CARDINAL
ejpam-6640	691	3	4	CARDINAL
ejpam-6640	691	4	2025	CARDINAL
ejpam-6640	691	5	6640 28	DATE
ejpam-6640	691	6	28	CARDINAL
ejpam-6640	691	7	complexes de morphismes de a-modules	ORG
ejpam-6640	691	8	sur les enveloppes et couvertures	ORG
ejpam-6640	691	9	dans comp(a-mod	PERSON
ejpam-6640	692	1	gaston berger	PERSON
ejpam-6640	692	2	saint-louis	GPE
ejpam-6640	692	3	2020	DATE
ejpam-6640	693	1	15	CARDINAL
ejpam-6640	693	2	ahmed ould	PERSON
ejpam-6640	694	1	sur des	ORG
ejpam-6640	694	2	anneaux	GPE
ejpam-6640	695	1	gaston berger	PERSON
ejpam-6640	695	2	saint-louis	GPE
ejpam-6640	696	1	16	CARDINAL
ejpam-6640	696	2	charles	PERSON
ejpam-6640	696	3	mcr butler	PERSON
ejpam-6640	698	1	london	GPE
ejpam-6640	698	2	28(132):322–323, 1996	DATE
ejpam-6640	699	1	17	CARDINAL
ejpam-6640	699	2	ahmed ould chbih	PERSON
ejpam-6640	701	1	9(10):457–474	CARDINAL
ejpam-6640	701	2	2015	DATE
ejpam-6640	702	1	18	CARDINAL
ejpam-6640	702	2	ahmed ould chbih	PERSON
ejpam-6640	702	3	mohamed ben faraj ben maaouia	PERSON
ejpam-6640	704	1	european journal	ORG
ejpam-6640	704	2	16(3):1913–1939	DATE
ejpam-6640	704	3	2023	CARDINAL
ejpam-6640	705	1	19	CARDINAL
ejpam-6640	705	2	moussa thiaw	PERSON
ejpam-6640	705	3	mohamed ben faraj ben maaouia	PERSON
ejpam-6640	707	1	european journal	ORG
ejpam-6640	707	2	13(3):472–482	DATE
ejpam-6640	707	3	2020	DATE