id	sid	eid	entity	type
ejpam-5066	1	1	european journal	ORG
ejpam-5066	2	1	17	CARDINAL
ejpam-5066	2	2	2	CARDINAL
ejpam-5066	2	3	2024	DATE
ejpam-5066	2	4	736	CARDINAL
ejpam-5066	2	5	1307-5543	DATE
ejpam-5066	3	1	new york	GPE
ejpam-5066	3	2	abelian	NORP
ejpam-5066	3	3	muhammad saad 1	PERSON
ejpam-5066	3	4	majed zailaee2,∗	ORG
ejpam-5066	3	5	1	CARDINAL
ejpam-5066	3	6	science	ORG
ejpam-5066	3	7	alexandria university	ORG
ejpam-5066	3	8	alexandria	GPE
ejpam-5066	3	9	egypt 2	ORG
ejpam-5066	3	10	abdulaziz university	PERSON
ejpam-5066	3	11	saudi arabia	GPE
ejpam-5066	6	1	xy−yx	PERSON
ejpam-5066	7	1	n-abelian	NORP
ejpam-5066	8	1	n-abelian	NORP
ejpam-5066	8	2	abelian	NORP
ejpam-5066	10	1	abelian	NORP
ejpam-5066	10	2	n-abelian	NORP
ejpam-5066	12	1	2020	DATE
ejpam-5066	12	2	16u60	CARDINAL
ejpam-5066	12	3	16u80	CARDINAL
ejpam-5066	12	4	16e50	CARDINAL
ejpam-5066	12	5	16u80	CARDINAL
ejpam-5066	12	6	n-abelian 1	MONEY
ejpam-5066	14	1	z(r	DATE
ejpam-5066	15	1	r.	NORP
ejpam-5066	15	2	abelian	NORP
ejpam-5066	17	1	1983	DATE
ejpam-5066	17	2	1	CARDINAL
ejpam-5066	17	3	one	CARDINAL
ejpam-5066	17	4	von neumann	PERSON
ejpam-5066	19	1	https://doi.org/10.29020/nybg.ejpam.v17i2.5066	NORP
ejpam-5066	19	2	m.saad@alexu.edu.eg	PERSON
ejpam-5066	19	3	m. saad	PERSON
ejpam-5066	19	4	mzailaee@kau.edu.sa	PERSON
ejpam-5066	19	5	m. zailaee	PERSON
ejpam-5066	20	1	736	CARDINAL
ejpam-5066	21	1	2024	CARDINAL
ejpam-5066	22	1	m. saad	PERSON
ejpam-5066	22	2	m. zailaee	PERSON
ejpam-5066	23	1	j. pure	PERSON
ejpam-5066	23	2	17	CARDINAL
ejpam-5066	23	3	2	CARDINAL
ejpam-5066	23	4	2024	CARDINAL
ejpam-5066	23	5	736-752 737	QUANTITY
ejpam-5066	26	1	ea	CARDINAL
ejpam-5066	26	2	∈	ORG
ejpam-5066	26	3	r.	NORP
ejpam-5066	27	1	2	CARDINAL
ejpam-5066	27	2	3	DATE
ejpam-5066	27	3	7	DATE
ejpam-5066	27	4	13	DATE
ejpam-5066	27	5	17	CARDINAL
ejpam-5066	27	6	26	CARDINAL
ejpam-5066	31	1	11	CARDINAL
ejpam-5066	34	1	22	CARDINAL
ejpam-5066	34	2	24	DATE
ejpam-5066	34	3	first	ORDINAL
ejpam-5066	35	1	23	CARDINAL
ejpam-5066	36	1	semi-abelian	NORP
ejpam-5066	37	1	three	CARDINAL
ejpam-5066	39	1	1	CARDINAL
ejpam-5066	40	1	4	CARDINAL
ejpam-5066	42	1	n-abelian	NORP
ejpam-5066	43	1	9	CARDINAL
ejpam-5066	44	1	12	CARDINAL
ejpam-5066	44	2	2	CARDINAL
ejpam-5066	44	3	t2(r	PERSON
ejpam-5066	45	1	4	CARDINAL
ejpam-5066	45	2	n-abelian	NORP
ejpam-5066	45	3	n. 2	ORG
ejpam-5066	46	1	r.	NORP
ejpam-5066	46	2	r.	NORP
ejpam-5066	46	3	1− e)rer	PRODUCT
ejpam-5066	46	4	2	CARDINAL
ejpam-5066	46	5	e)rer	ORG
ejpam-5066	49	1	example 1	DATE
ejpam-5066	51	1	m. saad	PERSON
ejpam-5066	51	2	m. zailaee	PERSON
ejpam-5066	52	1	j. pure	PERSON
ejpam-5066	52	2	17	CARDINAL
ejpam-5066	52	3	2	CARDINAL
ejpam-5066	52	4	2024	CARDINAL
ejpam-5066	52	5	736-752 738	QUANTITY
ejpam-5066	53	1	2	CARDINAL
ejpam-5066	53	2	two	CARDINAL
ejpam-5066	53	3	zero	CARDINAL
ejpam-5066	55	1	r.	NORP
ejpam-5066	58	1	1	CARDINAL
ejpam-5066	62	1	1	CARDINAL
ejpam-5066	64	1	∈	ORG
ejpam-5066	64	2	1−	ORDINAL
ejpam-5066	65	1	⊆	CARDINAL
ejpam-5066	66	1	1	CARDINAL
ejpam-5066	67	1	xe −	ORG
ejpam-5066	70	1	2	CARDINAL
ejpam-5066	72	1	1− e)[e	ORG
ejpam-5066	73	1	∈	ORG
ejpam-5066	75	1	− e	PERSON
ejpam-5066	75	2	− e	PERSON
ejpam-5066	76	1	− e	PERSON
ejpam-5066	80	1	1− e)[e	ORG
ejpam-5066	81	1	3	CARDINAL
ejpam-5066	83	1	r]2(1− e	PERSON
ejpam-5066	83	2	= er(1−	PERSON
ejpam-5066	85	1	∈	ORG
ejpam-5066	85	2	r][e	NORP
ejpam-5066	85	3	s]e	NORP
ejpam-5066	90	1	∈	ORG
ejpam-5066	96	1	∈	ORG
ejpam-5066	99	1	r]2(1− e	PERSON
ejpam-5066	99	2	= er(1−	PERSON
ejpam-5066	99	3	1	CARDINAL
ejpam-5066	99	4	1	CARDINAL
ejpam-5066	100	1	0	DATE
ejpam-5066	103	1	e)re[e]k	PERSON
ejpam-5066	104	1	2	CARDINAL
ejpam-5066	104	2	3	CARDINAL
ejpam-5066	107	1	e,r]2(1− e)[e	ORG
ejpam-5066	107	2	1− e)rer(1−	TIME
ejpam-5066	109	1	1	CARDINAL
ejpam-5066	110	1	0	CARDINAL
ejpam-5066	111	1	1	CARDINAL
ejpam-5066	112	1	m. saad	PERSON
ejpam-5066	112	2	m. zailaee	PERSON
ejpam-5066	113	1	j. pure	PERSON
ejpam-5066	113	2	17	CARDINAL
ejpam-5066	113	3	2	CARDINAL
ejpam-5066	113	4	2024	CARDINAL
ejpam-5066	113	5	736-752 739	QUANTITY
ejpam-5066	114	1	1	CARDINAL
ejpam-5066	115	1	0	DATE
ejpam-5066	115	2	1	CARDINAL
ejpam-5066	116	1	0	CARDINAL
ejpam-5066	117	1	0	CARDINAL
ejpam-5066	117	2	0	CARDINAL
ejpam-5066	117	3	0	DATE
ejpam-5066	117	4	0	DATE
ejpam-5066	118	1		PERSON
ejpam-5066	118	2	3	CARDINAL
ejpam-5066	121	1	2	CARDINAL
ejpam-5066	121	2	4	CARDINAL
ejpam-5066	121	3	1	CARDINAL
ejpam-5066	121	4		ORG
ejpam-5066	121	5	a5 a6 a7 a8	ORG
ejpam-5066	121	6	∈	ORG
ejpam-5066	121	7		ORG
ejpam-5066	121	8		ORG
ejpam-5066	121	9	a5 a6	ORG
ejpam-5066	123	1	∈	ORG
ejpam-5066	123	2		ORG
ejpam-5066	123	3		ORG
ejpam-5066	126	1	∈	ORG
ejpam-5066	127	1	quarter	CARDINAL
ejpam-5066	127	2	1	CARDINAL
ejpam-5066	127	3	1	CARDINAL
ejpam-5066	127	4	1	CARDINAL
ejpam-5066	127	5	2	CARDINAL
ejpam-5066	129	1	1	CARDINAL
ejpam-5066	129	2	r.	NORP
ejpam-5066	131	1	m. saad	PERSON
ejpam-5066	131	2	m. zailaee	PERSON
ejpam-5066	132	1	j. pure	PERSON
ejpam-5066	132	2	17	CARDINAL
ejpam-5066	132	3	2	CARDINAL
ejpam-5066	132	4	2024	CARDINAL
ejpam-5066	132	5	736-752 740	QUANTITY
ejpam-5066	133	1	1	CARDINAL
ejpam-5066	137	1	e]n−1	ORG
ejpam-5066	137	2	r.	NORP
ejpam-5066	138	1	0	CARDINAL
ejpam-5066	138	2	1− e)[e	ORG
ejpam-5066	138	3	0	CARDINAL
ejpam-5066	140	1	1	CARDINAL
ejpam-5066	142	1	e]n−1	ORG
ejpam-5066	142	2	e]n−1	ORG
ejpam-5066	142	3	two	CARDINAL
ejpam-5066	142	4	r.	NORP
ejpam-5066	143	1	e]n−1	ORG
ejpam-5066	144	1	1	CARDINAL
ejpam-5066	144	2	⊆	CARDINAL
ejpam-5066	144	3	1−	WORK_OF_ART
ejpam-5066	144	4	0	CARDINAL
ejpam-5066	146	1	lemma 1	ORG
ejpam-5066	147	1	i)⇔(iv	CARDINAL
ejpam-5066	147	2	2	CARDINAL
ejpam-5066	147	3	1	CARDINAL
ejpam-5066	148	1	0	CARDINAL
ejpam-5066	148	2	2	CARDINAL
ejpam-5066	148	3	4	CARDINAL
ejpam-5066	148	4	1.2.2	CARDINAL
ejpam-5066	149	1	1−	TIME
ejpam-5066	149	2	1−	ORDINAL
ejpam-5066	149	3	0	CARDINAL
ejpam-5066	149	4	7	CARDINAL
ejpam-5066	149	5	2.1	CARDINAL
ejpam-5066	150	1	11	CARDINAL
ejpam-5066	150	2	2.1	CARDINAL
ejpam-5066	151	1	∈	ORG
ejpam-5066	151	2	2	CARDINAL
ejpam-5066	152	1	1	CARDINAL
ejpam-5066	153	1	2	CARDINAL
ejpam-5066	154	1	m. saad	PERSON
ejpam-5066	154	2	m. zailaee	PERSON
ejpam-5066	155	1	j. pure	PERSON
ejpam-5066	155	2	17	CARDINAL
ejpam-5066	155	3	2	CARDINAL
ejpam-5066	155	4	2024	CARDINAL
ejpam-5066	155	5	736-752 741	QUANTITY
ejpam-5066	156	1	0	CARDINAL
ejpam-5066	157	1	1 +n	QUANTITY
ejpam-5066	157	2	0	CARDINAL
ejpam-5066	158	1	0	CARDINAL
ejpam-5066	159	1	0	CARDINAL
ejpam-5066	159	2	0	CARDINAL
ejpam-5066	160	1	1	CARDINAL
ejpam-5066	161	1	1 +	CARDINAL
ejpam-5066	162	1	∈	ORG
ejpam-5066	162	2	1	CARDINAL
ejpam-5066	162	3	1−e)fie	CARDINAL
ejpam-5066	163	1	efi(1− e	PERSON
ejpam-5066	166	1	1− e)fie	PRODUCT
ejpam-5066	167	1	f1	PERSON
ejpam-5066	168	1	f1	PERSON
ejpam-5066	169	1	2	CARDINAL
ejpam-5066	169	2	f1	PERSON
ejpam-5066	171	1	1− e)fne	MONEY
ejpam-5066	172	1	1− e)fne	MONEY
ejpam-5066	174	1	f1	PERSON
ejpam-5066	175	1	1	CARDINAL
ejpam-5066	176	1	f1	PERSON
ejpam-5066	177	1	2	CARDINAL
ejpam-5066	177	2	1− e)[e	ORG
ejpam-5066	179	1	2	CARDINAL
ejpam-5066	179	2	1	CARDINAL
ejpam-5066	179	3	two	CARDINAL
ejpam-5066	179	4	⊆	CARDINAL
ejpam-5066	180	1	∈	ORG
ejpam-5066	180	2	e+(1−e)re	NORP
ejpam-5066	183	1	2	CARDINAL
ejpam-5066	183	2	p(r	PERSON
ejpam-5066	183	3	r.	NORP
ejpam-5066	184	1	3	CARDINAL
ejpam-5066	185	1	2	CARDINAL
ejpam-5066	186	1	0	CARDINAL
ejpam-5066	187	1	one	CARDINAL
ejpam-5066	187	2	11	CARDINAL
ejpam-5066	187	3	2.10	CARDINAL
ejpam-5066	188	1	3	CARDINAL
ejpam-5066	189	1	∈	ORG
ejpam-5066	189	2	n ≥ 2	ORG
ejpam-5066	189	3	∈	ORG
ejpam-5066	190	1	0	CARDINAL
ejpam-5066	192	1	1	CARDINAL
ejpam-5066	193	1	⊆	CARDINAL
ejpam-5066	195	1	1− e]n−1	CARDINAL
ejpam-5066	195	2	0	CARDINAL
ejpam-5066	195	3	∈	ORG
ejpam-5066	195	4	1− e]n−1	CARDINAL
ejpam-5066	196	1	1− e]n−1	CARDINAL
ejpam-5066	197	1	1− e]n−1	CARDINAL
ejpam-5066	198	1	0	CARDINAL
ejpam-5066	200	1	1−	ORDINAL
ejpam-5066	201	1	e]n−2er	DATE
ejpam-5066	203	1	m. saad	PERSON
ejpam-5066	203	2	m. zailaee	PERSON
ejpam-5066	204	1	j. pure	PERSON
ejpam-5066	204	2	17	CARDINAL
ejpam-5066	204	3	2	CARDINAL
ejpam-5066	204	4	2024	CARDINAL
ejpam-5066	204	5	736	CARDINAL
ejpam-5066	204	6	4	CARDINAL
ejpam-5066	204	7	11	CARDINAL
ejpam-5066	204	8	2.10	CARDINAL
ejpam-5066	207	1	1	CARDINAL
ejpam-5066	207	2	2	CARDINAL
ejpam-5066	208	1	4	CARDINAL
ejpam-5066	210	1	2	CARDINAL
ejpam-5066	210	2	0	CARDINAL
ejpam-5066	211	1	0	CARDINAL
ejpam-5066	214	1	10	CARDINAL
ejpam-5066	214	2	10.17	CARDINAL
ejpam-5066	214	3	r.	NORP
ejpam-5066	215	1	5	CARDINAL
ejpam-5066	216	1	∈	ORG
ejpam-5066	217	1	n-abelian	NORP
ejpam-5066	219	1	6	CARDINAL
ejpam-5066	220	1	0	CARDINAL
ejpam-5066	220	2	1	CARDINAL
ejpam-5066	220	3	5	CARDINAL
ejpam-5066	221	1	∈	ORG
ejpam-5066	223	1	∈	ORG
ejpam-5066	223	2	∈	ORG
ejpam-5066	223	3	1−	CARDINAL
ejpam-5066	223	4	∈	ORG
ejpam-5066	225	1	∈	ORG
ejpam-5066	226	1	∈	ORG
ejpam-5066	228	1	11	CARDINAL
ejpam-5066	229	1	6	CARDINAL
ejpam-5066	230	1	rer = r	ORG
ejpam-5066	231	1	1	CARDINAL
ejpam-5066	232	1	∈	ORG
ejpam-5066	232	2	0	CARDINAL
ejpam-5066	233	1	1	CARDINAL
ejpam-5066	233	2	1−	CARDINAL
ejpam-5066	233	3	1	CARDINAL
ejpam-5066	234	1	two	CARDINAL
ejpam-5066	236	1	∈	ORG
ejpam-5066	238	1	m. saad	PERSON
ejpam-5066	238	2	m. zailaee	PERSON
ejpam-5066	239	1	j. pure	PERSON
ejpam-5066	239	2	17	CARDINAL
ejpam-5066	239	3	2	CARDINAL
ejpam-5066	239	4	2024	CARDINAL
ejpam-5066	239	5	736-752 743	QUANTITY
ejpam-5066	239	6	1− e and	TIME
ejpam-5066	239	7	1−	TIME
ejpam-5066	241	1	∈	ORG
ejpam-5066	243	1	two	CARDINAL
ejpam-5066	247	1	∈	ORG
ejpam-5066	247	2	∈	ORG
ejpam-5066	248	1	∈	ORG
ejpam-5066	248	2	∈	ORG
ejpam-5066	249	1	∈	ORG
ejpam-5066	249	2	∈	ORG
ejpam-5066	250	1	∈	ORG
ejpam-5066	250	2	∈	ORG
ejpam-5066	252	1	r.	NORP
ejpam-5066	252	2	∈	ORG
ejpam-5066	253	1	5	CARDINAL
ejpam-5066	253	2	6.2	CARDINAL
ejpam-5066	254	1	1	CARDINAL
ejpam-5066	256	1	1	CARDINAL
ejpam-5066	256	2	1	CARDINAL
ejpam-5066	257	1	1	CARDINAL
ejpam-5066	258	1	⊆	CARDINAL
ejpam-5066	258	2	1	CARDINAL
ejpam-5066	262	1	5	CARDINAL
ejpam-5066	262	2	6.2	CARDINAL
ejpam-5066	263	1	two	CARDINAL
ejpam-5066	263	2	one	CARDINAL
ejpam-5066	264	1	1	CARDINAL
ejpam-5066	264	2	1	CARDINAL
ejpam-5066	264	3	∈	ORG
ejpam-5066	266	1	1	CARDINAL
ejpam-5066	266	2	∈	ORG
ejpam-5066	268	1	n-abelian	NORP
ejpam-5066	270	1	2	CARDINAL
ejpam-5066	271	1	n-abelian	NORP
ejpam-5066	272	1	m. saad	PERSON
ejpam-5066	272	2	m. zailaee	PERSON
ejpam-5066	273	1	j. pure	PERSON
ejpam-5066	273	2	17	CARDINAL
ejpam-5066	273	3	2	CARDINAL
ejpam-5066	273	4	2024	CARDINAL
ejpam-5066	273	5	736-752 744	QUANTITY
ejpam-5066	273	6	n-abelian	NORP
ejpam-5066	273	7	m-abelian	NORP
ejpam-5066	274	1	n ≤ m. furthermore	ORG
ejpam-5066	274	2	abelian	NORP
ejpam-5066	274	3	1-abelian	MONEY
ejpam-5066	274	4	2-abelian	QUANTITY
ejpam-5066	275	1	abelian	NORP
ejpam-5066	275	2	n-abelian	NORP
ejpam-5066	275	3	2	CARDINAL
ejpam-5066	275	4	n-abelian	NORP
ejpam-5066	275	5	n-abelian	NORP
ejpam-5066	276	1	8	CARDINAL
ejpam-5066	277	1	integer n.	PERSON
ejpam-5066	277	2	n-abelian	NORP
ejpam-5066	279	1	0	CARDINAL
ejpam-5066	281	1	e]n−1	ORG
ejpam-5066	284	1	1	CARDINAL
ejpam-5066	285	1	n-abelian	NORP
ejpam-5066	286	1	9	CARDINAL
ejpam-5066	289	1	ab = e	ORG
ejpam-5066	290	1	0	CARDINAL
ejpam-5066	292	1	7	CARDINAL
ejpam-5066	293	1	n-abelian	NORP
ejpam-5066	293	2	8	CARDINAL
ejpam-5066	293	3	22],theorem 2.4	CARDINAL
ejpam-5066	295	1	21	CARDINAL
ejpam-5066	296	1	n-abelian	NORP
ejpam-5066	296	2	10	CARDINAL
ejpam-5066	297	1	n-abelian	NORP
ejpam-5066	299	1	n-abelian	NORP
ejpam-5066	299	2	r.	NORP
ejpam-5066	299	3	1	CARDINAL
ejpam-5066	299	4	∈	ORG
ejpam-5066	299	5	0 ̸= r(1 −	ORG
ejpam-5066	300	1	⊆	CARDINAL
ejpam-5066	301	1	r.	NORP
ejpam-5066	301	2	r(1−e)ae)m	ORG
ejpam-5066	301	3	⊆	CARDINAL
ejpam-5066	301	4	0	CARDINAL
ejpam-5066	302	1	2	CARDINAL
ejpam-5066	302	2	0	CARDINAL
ejpam-5066	303	1	1−	ORDINAL
ejpam-5066	303	2	0	CARDINAL
ejpam-5066	303	3	∈	ORG
ejpam-5066	304	1	9	CARDINAL
ejpam-5066	304	2	23],theorem	CARDINAL
ejpam-5066	306	1	m. saad	PERSON
ejpam-5066	306	2	m. zailaee	PERSON
ejpam-5066	307	1	j. pure	PERSON
ejpam-5066	307	2	17	CARDINAL
ejpam-5066	307	3	2	CARDINAL
ejpam-5066	307	4	2024	CARDINAL
ejpam-5066	307	5	736-752 745	QUANTITY
ejpam-5066	307	6	23	CARDINAL
ejpam-5066	307	7	10	CARDINAL
ejpam-5066	308	1	25	CARDINAL
ejpam-5066	308	2	0	CARDINAL
ejpam-5066	308	3	rera	PERSON
ejpam-5066	308	4	∈	ORG
ejpam-5066	309	1	25	CARDINAL
ejpam-5066	309	2	2.3	CARDINAL
ejpam-5066	309	3	1	CARDINAL
ejpam-5066	311	1	11	CARDINAL
ejpam-5066	312	1	n-abelian	NORP
ejpam-5066	314	1	25	CARDINAL
ejpam-5066	314	2	2.2	CARDINAL
ejpam-5066	315	1	8	CARDINAL
ejpam-5066	317	1	0	CARDINAL
ejpam-5066	317	2	∈	ORG
ejpam-5066	318	1	one	CARDINAL
ejpam-5066	319	1	12	CARDINAL
ejpam-5066	321	1	ĉn−1(r	PERSON
ejpam-5066	323	1	∈	ORG
ejpam-5066	323	2	2	CARDINAL
ejpam-5066	323	3	e)rer	ORG
ejpam-5066	323	4	2	CARDINAL
ejpam-5066	323	5	1−	LANGUAGE
ejpam-5066	323	6	0	CARDINAL
ejpam-5066	324	1	ifr	ORG
ejpam-5066	324	2	2	CARDINAL
ejpam-5066	324	3	0	CARDINAL
ejpam-5066	324	4	∈	ORG
ejpam-5066	325	1	2	CARDINAL
ejpam-5066	325	2	0	CARDINAL
ejpam-5066	325	3	0	CARDINAL
ejpam-5066	326	1	r(1	ORG
ejpam-5066	326	2	2	CARDINAL
ejpam-5066	326	3	r(1	ORG
ejpam-5066	326	4	2	CARDINAL
ejpam-5066	327	1	∈	ORG
ejpam-5066	328	1	n − 1	ORG
ejpam-5066	330	1	n-abelian	NORP
ejpam-5066	330	2	n-abelian	NORP
ejpam-5066	330	3	⊆	CARDINAL
ejpam-5066	333	1	3	CARDINAL
ejpam-5066	334	1	1	CARDINAL
ejpam-5066	334	2	0	DATE
ejpam-5066	334	3	1	CARDINAL
ejpam-5066	334	4	1	CARDINAL
ejpam-5066	334	5	r.	NORP
ejpam-5066	334	6	0	CARDINAL
ejpam-5066	334	7	1	CARDINAL
ejpam-5066	335	1	1-abelian	QUANTITY
ejpam-5066	335	2	1-abelian	QUANTITY
ejpam-5066	336	1	13	CARDINAL
ejpam-5066	337	1	n-abelian	NORP
ejpam-5066	337	2	n-abelian	NORP
ejpam-5066	339	1	∈	ORG
ejpam-5066	339	2	∈	ORG
ejpam-5066	340	1	ri	GPE
ejpam-5066	340	2	n-abelian	NORP
ejpam-5066	344	1	⊆	CARDINAL
ejpam-5066	344	2	r]n(e+ai)r+[ai	PERSON
ejpam-5066	344	3	⊆	CARDINAL
ejpam-5066	344	4	⊆	CARDINAL
ejpam-5066	345	1	r]ne ∈	ORG
ejpam-5066	346	1	11	CARDINAL
ejpam-5066	346	2	section 3	LAW
ejpam-5066	346	3	m. saad	PERSON
ejpam-5066	346	4	m. zailaee	PERSON
ejpam-5066	347	1	j. pure	PERSON
ejpam-5066	347	2	17	CARDINAL
ejpam-5066	347	3	2	CARDINAL
ejpam-5066	347	4	2024	CARDINAL
ejpam-5066	347	5	736-752 746	QUANTITY
ejpam-5066	347	6	11	CARDINAL
ejpam-5066	347	7	3.4	CARDINAL
ejpam-5066	350	1	2	CARDINAL
ejpam-5066	352	1	n-abelian	NORP
ejpam-5066	352	2	n1-abelian	NORP
ejpam-5066	352	3	n2abelian	NORP
ejpam-5066	353	1	n-abelian	NORP
ejpam-5066	355	1	first	ORDINAL
ejpam-5066	355	2	n1-abelian	NORP
ejpam-5066	355	3	n2-abelian	NORP
ejpam-5066	356	1	⊆	CARDINAL
ejpam-5066	357	1	⊆	CARDINAL
ejpam-5066	357	2	0	CARDINAL
ejpam-5066	357	3	0	DATE
ejpam-5066	358	1	r]n2	PERSON
ejpam-5066	358	2	0 0	DATE
ejpam-5066	359	1	ε ∈ c(n1+n2)(t	ORG
ejpam-5066	360	1	ε ∈ i(t	ORG
ejpam-5066	361	1	secondly	ORDINAL
ejpam-5066	361	2	n-abelian	NORP
ejpam-5066	362	1	∈	ORG
ejpam-5066	364	1	0 1	CARDINAL
ejpam-5066	364	2	1	CARDINAL
ejpam-5066	364	3	2	DATE
ejpam-5066	364	4	n − 1	PRODUCT
ejpam-5066	365	1	0	CARDINAL
ejpam-5066	369	1	0	CARDINAL
ejpam-5066	370	1	0	CARDINAL
ejpam-5066	371	1	0	CARDINAL
ejpam-5066	371	2	1	CARDINAL
ejpam-5066	371	3	0	CARDINAL
ejpam-5066	373	1	rn−1](e− 1	FAC
ejpam-5066	373	2	0	CARDINAL
ejpam-5066	375	1	rn−1](e− 1	FAC
ejpam-5066	376	1	r]n−1(1− e	GPE
ejpam-5066	377	1	∈	ORG
ejpam-5066	378	1	1)-abelian	CARDINAL
ejpam-5066	379	1	4.7	CARDINAL
ejpam-5066	380	1	12	CARDINAL
ejpam-5066	381	1	3.4	CARDINAL
ejpam-5066	381	2	11	CARDINAL
ejpam-5066	381	3	2.4	CARDINAL
ejpam-5066	381	4	12	CARDINAL
ejpam-5066	382	1	abelian	NORP
ejpam-5066	383	1	4	CARDINAL
ejpam-5066	384	1	abelian	NORP
ejpam-5066	385	1	n-abelian	NORP
ejpam-5066	385	2	n-abelian	NORP
ejpam-5066	386	1	abelian	NORP
ejpam-5066	387	1	t2(r	PERSON
ejpam-5066	387	2	2-abelian	MONEY
ejpam-5066	388	1	t2(r	PERSON
ejpam-5066	389	1	3-abelian	QUANTITY
ejpam-5066	390	1	n-abelian	NORP
ejpam-5066	390	2	m. saad	PERSON
ejpam-5066	390	3	m. zailaee	PERSON
ejpam-5066	391	1	j. pure	PERSON
ejpam-5066	391	2	17	CARDINAL
ejpam-5066	391	3	2	CARDINAL
ejpam-5066	391	4	2024	CARDINAL
ejpam-5066	391	5	736-752 747	QUANTITY
ejpam-5066	392	1	iii)⇒(i	ORG
ejpam-5066	392	2	n-abelian	NORP
ejpam-5066	395	1	1)-abelian	CARDINAL
ejpam-5066	396	1	1-abelian	QUANTITY
ejpam-5066	396	2	10	CARDINAL
ejpam-5066	396	3	11	CARDINAL
ejpam-5066	396	4	3.4	CARDINAL
ejpam-5066	397	1	abelian	NORP
ejpam-5066	398	1	4.	CARDINAL
ejpam-5066	399	1	von neumann	PERSON
ejpam-5066	399	2	∈	ORG
ejpam-5066	400	1	i(a	ORG
ejpam-5066	400	2	r.	NORP
ejpam-5066	406	1	abelian	NORP
ejpam-5066	408	1	∈	ORG
ejpam-5066	408	2	∈	ORG
ejpam-5066	412	1	abelian	NORP
ejpam-5066	413	1	wei	PERSON
ejpam-5066	413	2	li	PERSON
ejpam-5066	413	3	23	CARDINAL
ejpam-5066	414	1	2-abelian	MONEY
ejpam-5066	415	1	10	CARDINAL
ejpam-5066	415	2	aba	PERSON
ejpam-5066	415	3	2	CARDINAL
ejpam-5066	417	1	5	CARDINAL
ejpam-5066	419	1	ac	ORG
ejpam-5066	419	2	∈ i(a	ORG
ejpam-5066	422	1	ac	ORG
ejpam-5066	423	1	m. saad	PERSON
ejpam-5066	423	2	m. zailaee	PERSON
ejpam-5066	424	1	j. pure	PERSON
ejpam-5066	424	2	17	CARDINAL
ejpam-5066	424	3	2	CARDINAL
ejpam-5066	424	4	2024	CARDINAL
ejpam-5066	424	5	736-752 748	QUANTITY
ejpam-5066	425	1	integer k ≥ 1 and er((1	PERSON
ejpam-5066	425	2	0	CARDINAL
ejpam-5066	426	1	0	CARDINAL
ejpam-5066	427	1	ea	CARDINAL
ejpam-5066	428	1	ea	CARDINAL
ejpam-5066	428	2	∈	ORG
ejpam-5066	428	3	⊆	CARDINAL
ejpam-5066	430	1	r.	NORP
ejpam-5066	430	2	2	CARDINAL
ejpam-5066	430	3	11	CARDINAL
ejpam-5066	430	4	integer k ≥ 0	PERSON
ejpam-5066	431	1	1−e)rer)k	CARDINAL
ejpam-5066	431	2	0	CARDINAL
ejpam-5066	433	1	0	CARDINAL
ejpam-5066	433	2	ae = a.	ORG
ejpam-5066	435	1	⊆	CARDINAL
ejpam-5066	438	1	11	CARDINAL
ejpam-5066	440	1	n-abelian	NORP
ejpam-5066	440	2	12	CARDINAL
ejpam-5066	443	1	abelian	NORP
ejpam-5066	444	1	n-abelian	NORP
ejpam-5066	444	2	n-abelian	NORP
ejpam-5066	444	3	14	DATE
ejpam-5066	445	1	n-abelian	NORP
ejpam-5066	445	2	abelian	NORP
ejpam-5066	448	1	23	CARDINAL
ejpam-5066	448	2	3.8	CARDINAL
ejpam-5066	448	3	3.10	CARDINAL
ejpam-5066	449	1	20	CARDINAL
ejpam-5066	449	2	warfield	PERSON
ejpam-5066	450	1	6	CARDINAL
ejpam-5066	450	2	14	CARDINAL
ejpam-5066	450	3	∈	ORG
ejpam-5066	450	4	1−	CARDINAL
ejpam-5066	450	5	1−	ORDINAL
ejpam-5066	451	1	14	CARDINAL
ejpam-5066	451	2	∈	ORG
ejpam-5066	452	1	n-abelian	NORP
ejpam-5066	452	2	11	CARDINAL
ejpam-5066	452	3	5.10	CARDINAL
ejpam-5066	454	1	6	CARDINAL
ejpam-5066	455	1	m. saad	PERSON
ejpam-5066	455	2	m. zailaee	PERSON
ejpam-5066	456	1	j. pure	PERSON
ejpam-5066	456	2	17	CARDINAL
ejpam-5066	456	3	2	CARDINAL
ejpam-5066	456	4	2024	CARDINAL
ejpam-5066	456	5	736	CARDINAL
ejpam-5066	456	6	n-abelian	NORP
ejpam-5066	457	1	n-abelian	NORP
ejpam-5066	459	1	∈	ORG
ejpam-5066	459	2	1−	CARDINAL
ejpam-5066	459	3	1−	ORDINAL
ejpam-5066	461	1	r.	NORP
ejpam-5066	461	2	5	CARDINAL
ejpam-5066	462	1	rj	PERSON
ejpam-5066	462	2	abelian	NORP
ejpam-5066	463	1	14	CARDINAL
ejpam-5066	463	2	1.8	CARDINAL
ejpam-5066	463	3	a− e	ORG
ejpam-5066	463	4	∈	ORG
ejpam-5066	465	1	∈	ORG
ejpam-5066	465	2	1	CARDINAL
ejpam-5066	465	3	u ∈ u(r	ORG
ejpam-5066	466	1	∈	ORG
ejpam-5066	466	2	7.	DATE
ejpam-5066	468	1	1	CARDINAL
ejpam-5066	468	2	∈	PRODUCT
ejpam-5066	468	3	1−	CARDINAL
ejpam-5066	468	4	1−ueu−1	CARDINAL
ejpam-5066	469	1	e)u−1	DATE
ejpam-5066	469	2	1−a−	CARDINAL
ejpam-5066	469	3	1− a)(1− e)u−1 ∈	MONEY
ejpam-5066	469	4	1−	ORDINAL
ejpam-5066	470	1	n-abelian	NORP
ejpam-5066	471	1	∈	ORG
ejpam-5066	471	2	∈	ORG
ejpam-5066	472	1	1−	CARDINAL
ejpam-5066	472	2	1−	ORDINAL
ejpam-5066	473	1	1−	TIME
ejpam-5066	474	1	1− e)(1−	LAW
ejpam-5066	474	2	1− e− f	TIME
ejpam-5066	476	1	n-abelian	NORP
ejpam-5066	478	1	19	CARDINAL
ejpam-5066	478	2	1	CARDINAL
ejpam-5066	478	3	∈	ORG
ejpam-5066	478	4	∈	ORG
ejpam-5066	479	1	1	CARDINAL
ejpam-5066	479	2	1	CARDINAL
ejpam-5066	480	1	1	CARDINAL
ejpam-5066	480	2	13	CARDINAL
ejpam-5066	481	1	1	CARDINAL
ejpam-5066	483	1	5	CARDINAL
ejpam-5066	483	2	27	CARDINAL
ejpam-5066	483	3	6	CARDINAL
ejpam-5066	484	1	n-abelian	NORP
ejpam-5066	487	1	9	CARDINAL
ejpam-5066	487	2	15	DATE
ejpam-5066	487	3	16	DATE
ejpam-5066	487	4	18	CARDINAL
ejpam-5066	489	1	750 5	CARDINAL
ejpam-5066	491	1	zero	CARDINAL
ejpam-5066	494	1	von neumann	PERSON
ejpam-5066	496	1	1	CARDINAL
ejpam-5066	496	2	g. f. birkenmeier	PERSON
ejpam-5066	498	1	commun	PERSON
ejpam-5066	499	1	11:567–58, 1983	DATE
ejpam-5066	500	1	2	CARDINAL
ejpam-5066	500	2	g. f. birkenmeier	PERSON
ejpam-5066	500	3	h. heatherly	PERSON
ejpam-5066	500	4	j. y. kim	PERSON
ejpam-5066	500	5	j. k. park	PERSON
ejpam-5066	501	1	algebras	ORG
ejpam-5066	503	1	hungar	PERSON
ejpam-5066	503	2	95(1-2):101–114, 2002	DATE
ejpam-5066	504	1	3	CARDINAL
ejpam-5066	504	2	g. f. birkenmeier	PERSON
ejpam-5066	504	3	j. y. kim	PERSON
ejpam-5066	504	4	j. k. park	PERSON
ejpam-5066	505	1	algebras	ORG
ejpam-5066	507	1	2001	DATE
ejpam-5066	508	1	4	CARDINAL
ejpam-5066	508	2	g. f. birkenmeier	PERSON
ejpam-5066	508	3	j. k. park	PERSON
ejpam-5066	508	4	s. t. rizvi	PERSON
ejpam-5066	510	1	new york	GPE
ejpam-5066	510	2	heidelberg dordrecht london	PERSON
ejpam-5066	510	3	2013	DATE
ejpam-5066	511	1	5	CARDINAL
ejpam-5066	511	2	a. j. diesl	PERSON
ejpam-5066	511	3	s. j. dittmer	PERSON
ejpam-5066	514	1	15(06):1650112	CARDINAL
ejpam-5066	514	2	2016	DATE
ejpam-5066	515	1	6	CARDINAL
ejpam-5066	515	2	k. r. goodearl	PERSON
ejpam-5066	515	3	r. b. warfield jr.	PERSON
ejpam-5066	515	4	algebras over zero	LAW
ejpam-5066	517	1	annal.	PERSON
ejpam-5066	518	1	223(2):157–168	CARDINAL
ejpam-5066	518	2	1976	DATE
ejpam-5066	519	1	7	CARDINAL
ejpam-5066	519	2	j. han	PERSON
ejpam-5066	519	3	y. lee	PERSON
ejpam-5066	519	4	s. park	GPE
ejpam-5066	521	1	j. korean	PERSON
ejpam-5066	523	1	51(3):463–472,	DATE
ejpam-5066	523	2	2014	DATE
ejpam-5066	524	1	8	CARDINAL
ejpam-5066	524	2	j. y. kim	PERSON
ejpam-5066	524	3	j. u. baik	PERSON
ejpam-5066	527	1	j.	PERSON
ejpam-5066	527	2	46:597–601, 2006	DATE
ejpam-5066	528	1	751	CARDINAL
ejpam-5066	529	1	9	CARDINAL
ejpam-5066	529	2	z. kou	PERSON
ejpam-5066	529	3	s. kosari	PERSON
ejpam-5066	529	4	m. monemrad	PERSON
ejpam-5066	529	5	m. akhoundi	PERSON
ejpam-5066	529	6	s.	PERSON
ejpam-5066	531	1	13(11):2035	CARDINAL
ejpam-5066	531	2	2021	CARDINAL
ejpam-5066	532	1	10	CARDINAL
ejpam-5066	533	1	first	ORDINAL
ejpam-5066	533	2	131	CARDINAL
ejpam-5066	534	1	springer science & business media	ORG
ejpam-5066	534	2	new york	GPE
ejpam-5066	534	3	heidelberg dordrecht london	PERSON
ejpam-5066	534	4	2013	DATE
ejpam-5066	535	1	11	CARDINAL
ejpam-5066	537	1	commun	PERSON
ejpam-5066	538	1	2022	CARDINAL
ejpam-5066	539	1	12	CARDINAL
ejpam-5066	540	1	abelian	NORP
ejpam-5066	541	1	2550146	DATE
ejpam-5066	541	2	2023	CARDINAL
ejpam-5066	542	1	13	CARDINAL
ejpam-5066	542	2	c. lomp	PERSON
ejpam-5066	542	3	j. matczuk	PERSON
ejpam-5066	544	1	commun	PERSON
ejpam-5066	545	1	45(6):2735–2737	CARDINAL
ejpam-5066	545	2	2017	DATE
ejpam-5066	546	1	14	CARDINAL
ejpam-5066	546	2	w. k. nicholson	PERSON
ejpam-5066	551	1	229:269–278, 1977	DATE
ejpam-5066	552	1	15	CARDINAL
ejpam-5066	552	2	y. rao	PERSON
ejpam-5066	552	3	s. kosari	PERSON
ejpam-5066	552	4	z. shao	PERSON
ejpam-5066	552	5	m. akhoundi	PERSON
ejpam-5066	552	6	s.	PERSON
ejpam-5066	554	1	2021:6683910	DATE
ejpam-5066	554	2	2021	CARDINAL
ejpam-5066	555	1	16	CARDINAL
ejpam-5066	555	2	y. rao	PERSON
ejpam-5066	555	3	s. kosari	PERSON
ejpam-5066	555	4	z. shao	PERSON
ejpam-5066	555	5	s.	PERSON
ejpam-5066	558	1	univ	NORP
ejpam-5066	559	1	bucharest sci. bull	PERSON
ejpam-5066	562	1	2021	CARDINAL
ejpam-5066	563	1	17	CARDINAL
ejpam-5066	563	2	m. saad	PERSON
ejpam-5066	564	1	korean	NORP
ejpam-5066	564	2	j. math.	PERSON
ejpam-5066	565	1	31(4):405–417	DATE
ejpam-5066	565	2	2023	CARDINAL
ejpam-5066	566	1	18	CARDINAL
ejpam-5066	566	2	z. shao	PERSON
ejpam-5066	566	3	x. chen	PERSON
ejpam-5066	566	4	s. kosari	PERSON
ejpam-5066	566	5	s. omidi	PERSON
ejpam-5066	569	1	univ	NORP
ejpam-5066	570	1	bucharest sci. bull	PERSON
ejpam-5066	573	1	2021	CARDINAL
ejpam-5066	574	1	19	CARDINAL
ejpam-5066	575	1	bass	PERSON
ejpam-5066	575	2	first	ORDINAL
ejpam-5066	576	1	j. pure	PERSON
ejpam-5066	577	1	34(23):319–330,	ORG
ejpam-5066	577	2	1984	DATE
ejpam-5066	578	1	20	CARDINAL
ejpam-5066	578	2	r. b. warfield jr.	PERSON
ejpam-5066	580	1	annal.	PERSON
ejpam-5066	580	2	199(1):31–36	CARDINAL
ejpam-5066	580	3	1972	DATE
ejpam-5066	581	1	21	CARDINAL
ejpam-5066	581	2	j. wei	PERSON
ejpam-5066	583	1	turk	GPE
ejpam-5066	584	1	j. math	PERSON
ejpam-5066	584	2	32(4):393–408, 2008	DATE
ejpam-5066	585	1	22	CARDINAL
ejpam-5066	585	2	j. wei	PERSON
ejpam-5066	585	3	j. chen	PERSON
ejpam-5066	589	1	j. algebra	PERSON
ejpam-5066	589	2	2(2):1–21	CARDINAL
ejpam-5066	589	3	2007	DATE
ejpam-5066	590	1	23	CARDINAL
ejpam-5066	590	2	j. wei	PERSON
ejpam-5066	590	3	l. li	PERSON
ejpam-5066	591	1	commun	PERSON
ejpam-5066	592	1	38(5):1855–1868	CARDINAL
ejpam-5066	592	2	2010	DATE
ejpam-5066	593	1	24	CARDINAL
ejpam-5066	593	2	j. wei	PERSON
ejpam-5066	593	3	l li	PERSON
ejpam-5066	594	1	turk	GPE
ejpam-5066	595	1	j. math	PERSON
ejpam-5066	595	2	35(2):341–353	ORG
ejpam-5066	595	3	2011	DATE
ejpam-5066	596	1	752	CARDINAL
ejpam-5066	597	1	25	CARDINAL
ejpam-5066	597	2	j. wei	PERSON
ejpam-5066	597	3	l. li	PERSON
ejpam-5066	599	1	turk	GPE
ejpam-5066	600	1	j. math	PERSON
ejpam-5066	600	2	36(1):47–57	CARDINAL
ejpam-5066	600	3	2012	DATE
ejpam-5066	601	1	26	CARDINAL
ejpam-5066	601	2	j. wei	PERSON
ejpam-5066	601	3	n. li	PERSON
ejpam-5066	603	1	j. math	PERSON
ejpam-5066	605	1	sci.	ORG
ejpam-5066	605	2	2011	DATE
ejpam-5066	605	3	2011	DATE
ejpam-5066	606	1	27	CARDINAL
ejpam-5066	607	1	j. pure	PERSON
ejpam-5066	608	1	98(1):105–109	CARDINAL