id	sid	eid	entity	type
ejpam-4918	1	1	european journal	ORG
ejpam-4918	2	1	16	CARDINAL
ejpam-4918	2	2	4	CARDINAL
ejpam-4918	2	3	2023	CARDINAL
ejpam-4918	2	4	2156-2168	CARDINAL
ejpam-4918	2	5	new york	GPE
ejpam-4918	2	6	1	CARDINAL
ejpam-4918	2	7	najran university	ORG
ejpam-4918	2	8	ksa 2	ORG
ejpam-4918	2	9	university of khartoum	ORG
ejpam-4918	2	10	sudan	GPE
ejpam-4918	4	1	r.	NORP
ejpam-4918	6	1	p.q.-baer	TIME
ejpam-4918	10	1	2020	DATE
ejpam-4918	10	2	16s36	CARDINAL
ejpam-4918	10	3	16n60	CARDINAL
ejpam-4918	10	4	16u99	CARDINAL
ejpam-4918	12	1	1	CARDINAL
ejpam-4918	13	1	mason	ORG
ejpam-4918	14	1	1	CARDINAL
ejpam-4918	15	1	xry	PERSON
ejpam-4918	15	2	⊆	CARDINAL
ejpam-4918	15	3	y ∈ r.	PERSON
ejpam-4918	15	4	zero	CARDINAL
ejpam-4918	15	5	zero	CARDINAL
ejpam-4918	16	1	0	CARDINAL
ejpam-4918	16	2	y ∈ r.	PERSON
ejpam-4918	17	1	1	CARDINAL
ejpam-4918	18	1	2	CARDINAL
ejpam-4918	18	2	3	CARDINAL
ejpam-4918	18	3	4	CARDINAL
ejpam-4918	18	4	5	CARDINAL
ejpam-4918	19	1	6	CARDINAL
ejpam-4918	19	2	emali@nu.edu.sa	PERSON
ejpam-4918	19	3	e. ali	PERSON
ejpam-4918	19	4	2156	CARDINAL
ejpam-4918	20	1	2023	CARDINAL
ejpam-4918	21	1	e. ali / eur	PERSON
ejpam-4918	22	1	j. pure	PERSON
ejpam-4918	22	2	16	CARDINAL
ejpam-4918	22	3	4	CARDINAL
ejpam-4918	22	4	2023	CARDINAL
ejpam-4918	22	5	2156-2168 2157	CARDINAL
ejpam-4918	22	6	ω	ORG
ejpam-4918	22	7	∈	ORG
ejpam-4918	23	1	ϕ(r	PERSON
ejpam-4918	24	1	airωgil(bj	PERSON
ejpam-4918	24	2	hj	PERSON
ejpam-4918	28	1	p.q.-baer	TIME
ejpam-4918	29	1	ω	ORG
ejpam-4918	35	1	h ∈m	ORG
ejpam-4918	35	2	ω(h	LOC
ejpam-4918	37	1	∈	ORG
ejpam-4918	37	2	∈	ORG
ejpam-4918	37	3	two	CARDINAL
ejpam-4918	38	1	∈	ORG
ejpam-4918	38	2	∈	ORG
ejpam-4918	38	3	ωh(x)h	CARDINAL
ejpam-4918	39	1	f(l	PRODUCT
ejpam-4918	39	2	r.	NORP
ejpam-4918	40	1	f(l	PRODUCT
ejpam-4918	40	2	−1	DATE
ejpam-4918	40	3	k))f(l	PERSON
ejpam-4918	41	1	f(l	PRODUCT
ejpam-4918	41	2	f(1	PERSON
ejpam-4918	41	3	f(l	PRODUCT
ejpam-4918	41	4	1	CARDINAL
ejpam-4918	41	5	1	CARDINAL
ejpam-4918	41	6	all l, h	DATE
ejpam-4918	41	7	k ∈	ORG
ejpam-4918	43	1	ω	ORG
ejpam-4918	43	2	f(a	ORG
ejpam-4918	43	3	1	CARDINAL
ejpam-4918	44	1	8	CARDINAL
ejpam-4918	45	1	two	CARDINAL
ejpam-4918	47	1	∈	ORG
ejpam-4918	47	2	kh	ORG
ejpam-4918	47	3	hg ≺ hk	ORG
ejpam-4918	47	4	2	CARDINAL
ejpam-4918	48	1	e. ali / eur	PERSON
ejpam-4918	49	1	j. pure	PERSON
ejpam-4918	49	2	16	CARDINAL
ejpam-4918	49	3	4	CARDINAL
ejpam-4918	49	4	2023	CARDINAL
ejpam-4918	49	5	2156-2168	CARDINAL
ejpam-4918	49	6	1	CARDINAL
ejpam-4918	50	1	ω	CARDINAL
ejpam-4918	52	1	∈	ORG
ejpam-4918	52	2	ϕ(r	PERSON
ejpam-4918	52	3	0	CARDINAL
ejpam-4918	52	4	ciωli(ωg(raj	GPE
ejpam-4918	53	1	ψ(r	PERSON
ejpam-4918	53	2	li	PERSON
ejpam-4918	53	3	hj ∈m	PERSON
ejpam-4918	53	4	1	CARDINAL
ejpam-4918	54	1	1	CARDINAL
ejpam-4918	55	1	ω	CARDINAL
ejpam-4918	56	1	ω	ORG
ejpam-4918	57	1	ω	ORG
ejpam-4918	59	1	2	CARDINAL
ejpam-4918	59	2	ωg(s	ORG
ejpam-4918	59	3	⊆	CARDINAL
ejpam-4918	60	1	∈	ORG
ejpam-4918	60	2	r.	NORP
ejpam-4918	61	1	9	CARDINAL
ejpam-4918	61	2	nasr-isfahani	PERSON
ejpam-4918	61	3	r.	NORP
ejpam-4918	61	4	ω	CARDINAL
ejpam-4918	61	5	ω	CARDINAL
ejpam-4918	62	1	ω	CARDINAL
ejpam-4918	63	1	10	CARDINAL
ejpam-4918	63	2	αrigid	ORG
ejpam-4918	64	1	9	CARDINAL
ejpam-4918	64	2	ω	ORG
ejpam-4918	66	1	1	CARDINAL
ejpam-4918	67	1	11	CARDINAL
ejpam-4918	67	2	1.1	CARDINAL
ejpam-4918	69	1	2	CARDINAL
ejpam-4918	73	1	∈	ORG
ejpam-4918	73	2	0	CARDINAL
ejpam-4918	74	1	2.2	CARDINAL
ejpam-4918	74	2	6	CARDINAL
ejpam-4918	74	3	ciωhi(bj)f(li	PERSON
ejpam-4918	75	1	1	CARDINAL
ejpam-4918	76	1	ciωhi(bj	GPE
ejpam-4918	77	1	0	CARDINAL
ejpam-4918	77	2	0	CARDINAL
ejpam-4918	78	1	1	CARDINAL
ejpam-4918	81	1	e. ali / eur	PERSON
ejpam-4918	82	1	j. pure	PERSON
ejpam-4918	82	2	16	CARDINAL
ejpam-4918	82	3	4	CARDINAL
ejpam-4918	82	4	2023	CARDINAL
ejpam-4918	82	5	2156-2168	CARDINAL
ejpam-4918	83	1	1.1	CARDINAL
ejpam-4918	83	2	12	CARDINAL
ejpam-4918	85	1	∈	ORG
ejpam-4918	85	2	ϕ(r	PERSON
ejpam-4918	86	1	0	CARDINAL
ejpam-4918	87	1	∈	ORG
ejpam-4918	87	2	0	CARDINAL
ejpam-4918	88	1	2.1	CARDINAL
ejpam-4918	89	1	0	CARDINAL
ejpam-4918	90	1	1 ≤	QUANTITY
ejpam-4918	95	1	1 ≤ j ≤ m	QUANTITY
ejpam-4918	95	2	0	CARDINAL
ejpam-4918	96	1	lemma 1	ORG
ejpam-4918	97	1	0	CARDINAL
ejpam-4918	98	1	1 ≤ s ≤ n and	QUANTITY
ejpam-4918	98	2	two	CARDINAL
ejpam-4918	101	1	lng}	PERSON
ejpam-4918	104	1	1	CARDINAL
ejpam-4918	105	1	1	CARDINAL
ejpam-4918	107	1	2.1	CARDINAL
ejpam-4918	107	2	that c1ωl1(ωg(ra1))f(l1	DATE
ejpam-4918	108	1	0	CARDINAL
ejpam-4918	109	1	0	CARDINAL
ejpam-4918	111	1	0	CARDINAL
ejpam-4918	112	1	∈	ORG
ejpam-4918	112	2	0	CARDINAL
ejpam-4918	112	3	0	CARDINAL
ejpam-4918	115	1	0	CARDINAL
ejpam-4918	116	1	cirωli(ωg(a1))rωli(ωg(a1	LAW
ejpam-4918	117	1	0	CARDINAL
ejpam-4918	118	1	0	CARDINAL
ejpam-4918	121	1	0	CARDINAL
ejpam-4918	122	1	2.1	CARDINAL
ejpam-4918	126	1	ciωli(ωg(raj	GPE
ejpam-4918	128	1	∈	ORG
ejpam-4918	129	1	0	CARDINAL
ejpam-4918	131	1	1 ≤ j ≤ m	QUANTITY
ejpam-4918	131	2	1 ≤	QUANTITY
ejpam-4918	134	1	1	CARDINAL
ejpam-4918	135	1	at least two	CARDINAL
ejpam-4918	138	1	e ̸= h ∈m	ORG
ejpam-4918	140	1	f(x	ORG
ejpam-4918	140	2	1	CARDINAL
ejpam-4918	140	3	∈	ORG
ejpam-4918	141	1	∈	ORG
ejpam-4918	142	1	φ	ORG
ejpam-4918	142	2	+ e22)h	DATE
ejpam-4918	142	3	0	CARDINAL
ejpam-4918	143	1	ψφϕ ̸= 0	ORG
ejpam-4918	144	1	e. ali / eur	PERSON
ejpam-4918	145	1	j. pure	PERSON
ejpam-4918	145	2	16	CARDINAL
ejpam-4918	145	3	4	CARDINAL
ejpam-4918	145	4	2023	CARDINAL
ejpam-4918	145	5	2156-2168 2160	CARDINAL
ejpam-4918	146	1	baer ring	PERSON
ejpam-4918	147	1	birkenmeier et al	PERSON
ejpam-4918	148	1	13	CARDINAL
ejpam-4918	149	1	quasibaer	PERSON
ejpam-4918	152	1	13	CARDINAL
ejpam-4918	152	2	14	CARDINAL
ejpam-4918	152	3	liu	PERSON
ejpam-4918	153	1	15	CARDINAL
ejpam-4918	155	1	16	CARDINAL
ejpam-4918	156	1	2	CARDINAL
ejpam-4918	159	1	2.9	CARDINAL
ejpam-4918	159	2	17	CARDINAL
ejpam-4918	161	1	0	CARDINAL
ejpam-4918	162	1	li ⪯ lj	PERSON
ejpam-4918	163	1	ciωli(ωg(raj	GPE
ejpam-4918	164	1	r.	NORP
ejpam-4918	164	2	0	CARDINAL
ejpam-4918	164	3	ϕ(r	PERSON
ejpam-4918	164	4	0	CARDINAL
ejpam-4918	167	1	hm−1)ln−1hm−1 + cn−2rf(ln−2	ORG
ejpam-4918	167	2	e)lmf(ln−2	ORG
ejpam-4918	168	1	e)amf(ln−1	PERSON
ejpam-4918	169	1	2.2	CARDINAL
ejpam-4918	169	2	0	CARDINAL
ejpam-4918	170	1	cnrf(ln	PERSON
ejpam-4918	170	2	0	CARDINAL
ejpam-4918	171	1	∈	ORG
ejpam-4918	171	2	ℓr(ram	TIME
ejpam-4918	174	1	rem	PERSON
ejpam-4918	175	1	2.2	CARDINAL
ejpam-4918	175	2	0	CARDINAL
ejpam-4918	178	1	hm−1)ln−1hm−1]+cnremf(ln	PERSON
ejpam-4918	178	2	0	CARDINAL
ejpam-4918	178	3	1 ≤	QUANTITY
ejpam-4918	179	1	cnremf(ln	PERSON
ejpam-4918	179	2	0	CARDINAL
ejpam-4918	180	1	rem	PERSON
ejpam-4918	180	2	∈	ORG
ejpam-4918	180	3	emr ∈ rem	PERSON
ejpam-4918	180	4	∈	ORG
ejpam-4918	180	5	∈	ORG
ejpam-4918	181	1	rem	PERSON
ejpam-4918	181	2	= cnremf(ln	ORG
ejpam-4918	181	3	0	CARDINAL
ejpam-4918	182	1	∈	ORG
ejpam-4918	184	1	2.3	CARDINAL
ejpam-4918	184	2	0	CARDINAL
ejpam-4918	185	1	∈	ORG
ejpam-4918	185	2	ℓr(ram+ram−1	GPE
ejpam-4918	188	1	1	CARDINAL
ejpam-4918	188	2	2	DATE
ejpam-4918	190	1	m.	PERSON
ejpam-4918	193	1	0	CARDINAL
ejpam-4918	193	2	ciωli(ωg(raj	GPE
ejpam-4918	194	1	j.	PERSON
ejpam-4918	196	1	0	CARDINAL
ejpam-4918	198	1	e. ali	PERSON
ejpam-4918	199	1	j. pure	PERSON
ejpam-4918	199	2	16	CARDINAL
ejpam-4918	199	3	4	CARDINAL
ejpam-4918	199	4	2023	CARDINAL
ejpam-4918	199	5	2156-2168	CARDINAL
ejpam-4918	200	1	|n×n	PRODUCT
ejpam-4918	200	2	n ×n → u(r	ORG
ejpam-4918	205	1	i=1 cili	PERSON
ejpam-4918	205	2	∈	ORG
ejpam-4918	205	3	∈	ORG
ejpam-4918	206	1	λ ∈ n	ORG
ejpam-4918	207	1	λg1λ, λg2λ	ORG
ejpam-4918	209	1	∈	ORG
ejpam-4918	209	2	̸=	ORG
ejpam-4918	210	1	n∑ i=1	PERSON
ejpam-4918	211	1	v∑ r=1	PERSON
ejpam-4918	211	2	2ligrhjλ 2	DATE
ejpam-4918	211	3	0	CARDINAL
ejpam-4918	212	1	φ	GPE
ejpam-4918	213	1	0	CARDINAL
ejpam-4918	213	2	ω	ORG
ejpam-4918	213	3	∈	ORG
ejpam-4918	216	1	0	CARDINAL
ejpam-4918	219	1	ωλ(rci	CARDINAL
ejpam-4918	222	1	1	CARDINAL
ejpam-4918	223	1	4	CARDINAL
ejpam-4918	223	2	3.1	CARDINAL
ejpam-4918	226	1	∈	ORG
ejpam-4918	226	2	∈	ORG
ejpam-4918	229	1	f(x, y)+i	DATE
ejpam-4918	230	1	∈	ORG
ejpam-4918	230	2	ϕ̄	GPE
ejpam-4918	231	1	1 ≤	QUANTITY
ejpam-4918	233	1	θ(ϕ	ORG
ejpam-4918	235	1	4	CARDINAL
ejpam-4918	237	1	3	CARDINAL
ejpam-4918	243	1	ϕ(r	PERSON
ejpam-4918	245	1	ciωli(ωg(raj	GPE
ejpam-4918	246	1	j. e. ali	PERSON
ejpam-4918	247	1	j. pure	PERSON
ejpam-4918	247	2	16	CARDINAL
ejpam-4918	247	3	4	CARDINAL
ejpam-4918	247	4	2023	CARDINAL
ejpam-4918	247	5	2156-2168 2162	CARDINAL
ejpam-4918	247	6	ϕ̄	GPE
ejpam-4918	247	7	∈	ORG
ejpam-4918	247	8	ϕ̄((r	ORG
ejpam-4918	248	1	c̄1l1 + c̄2l2	FAC
ejpam-4918	249	1	+ i))f(l1	DATE
ejpam-4918	250	1	⊆	CARDINAL
ejpam-4918	251	1	1 ≤ i ≤ n and 1 ≤ j ≤ m.	QUANTITY
ejpam-4918	251	2	1	CARDINAL
ejpam-4918	254	1	0	CARDINAL
ejpam-4918	255	1	c1l1)(rg)(a1h1	ORG
ejpam-4918	256	1	h1)(l1h1	ORG
ejpam-4918	256	2	+ c1ωl1(ωg(ram))f(l1	DATE
ejpam-4918	256	3	∈	ORG
ejpam-4918	256	4	g ∈ m.	PERSON
ejpam-4918	256	5	1	CARDINAL
ejpam-4918	257	1	1	CARDINAL
ejpam-4918	257	2	2	DATE
ejpam-4918	258	1	m.	PERSON
ejpam-4918	260	1	1	CARDINAL
ejpam-4918	261	1	2	CARDINAL
ejpam-4918	262	1	1 ≤	QUANTITY
ejpam-4918	262	2	two	CARDINAL
ejpam-4918	265	1	lng}	PERSON
ejpam-4918	269	1	1	CARDINAL
ejpam-4918	270	1	g, h1)l1(gh1	ORG
ejpam-4918	270	2	0	CARDINAL
ejpam-4918	270	3	c1ωl1(ωg(ra1	ORG
ejpam-4918	271	1	0	CARDINAL
ejpam-4918	274	1	∈	ORG
ejpam-4918	274	2	1 ≤ k ≤ n	QUANTITY
ejpam-4918	274	3	1 ≤	QUANTITY
ejpam-4918	274	4	2	CARDINAL
ejpam-4918	275	1	0	CARDINAL
ejpam-4918	279	1	0	CARDINAL
ejpam-4918	280	1	a1bciωl1(ωg(raj	PERSON
ejpam-4918	281	1	0	CARDINAL
ejpam-4918	281	2	2 ≤	QUANTITY
ejpam-4918	281	3	0	CARDINAL
ejpam-4918	282	1	ω	ORG
ejpam-4918	283	1	0	CARDINAL
ejpam-4918	283	2	⊆	CARDINAL
ejpam-4918	283	3	i.	PERSON
ejpam-4918	287	1	0	CARDINAL
ejpam-4918	288	1	ciωli(ωg(raj	GPE
ejpam-4918	289	1	∈	ORG
ejpam-4918	289	2	bckωlk(ωg(raq	GPE
ejpam-4918	290	1	0	CARDINAL
ejpam-4918	291	1	0	CARDINAL
ejpam-4918	292	1	ckωlk(ωg(raq	GPE
ejpam-4918	293	1	0	CARDINAL
ejpam-4918	294	1	1 ≤ k ≤ n and	QUANTITY
ejpam-4918	296	1	∈	ORG
ejpam-4918	296	2	1 ≤ j ≤ m	QUANTITY
ejpam-4918	296	3	1 ≤	QUANTITY
ejpam-4918	297	1	18	CARDINAL
ejpam-4918	298	1	2	CARDINAL
ejpam-4918	301	1	cm -quasi	PERSON
ejpam-4918	301	2	e. ali	PERSON
ejpam-4918	302	1	j. pure	PERSON
ejpam-4918	302	2	16	CARDINAL
ejpam-4918	302	3	4	CARDINAL
ejpam-4918	302	4	2023	CARDINAL
ejpam-4918	302	5	2156-2168 2163	CARDINAL
ejpam-4918	302	6	3	CARDINAL
ejpam-4918	302	7	3	CARDINAL
ejpam-4918	306	1	2	CARDINAL
ejpam-4918	306	2	2	CARDINAL
ejpam-4918	311	1	ϕ(r	PERSON
ejpam-4918	312	1	0	CARDINAL
ejpam-4918	313	1	ciωli(ωg(raj	GPE
ejpam-4918	316	1	0	CARDINAL
ejpam-4918	317	1	∈	ORG
ejpam-4918	317	2	ψ(r	PERSON
ejpam-4918	318	1	0	CARDINAL
ejpam-4918	319	1	ωg(r ci	PERSON
ejpam-4918	320	1	0	CARDINAL
ejpam-4918	323	1	19	CARDINAL
ejpam-4918	323	2	20	CARDINAL
ejpam-4918	324	1	3	CARDINAL
ejpam-4918	332	1	21	CARDINAL
ejpam-4918	333	1	2	CARDINAL
ejpam-4918	339	1	2	CARDINAL
ejpam-4918	339	2	3	CARDINAL
ejpam-4918	340	1	r.	NORP
ejpam-4918	340	2	∈	ORG
ejpam-4918	340	3	∈	ORG
ejpam-4918	342	1	ω	CARDINAL
ejpam-4918	342	2	⊆	CARDINAL
ejpam-4918	343	1	ω	ORG
ejpam-4918	343	2	ω̄h(u−1c	PRODUCT
ejpam-4918	344	1	⊆	CARDINAL
ejpam-4918	345	1	e. ali / eur	PERSON
ejpam-4918	346	1	j. pure	PERSON
ejpam-4918	346	2	16	CARDINAL
ejpam-4918	346	3	4	CARDINAL
ejpam-4918	346	4	2023	CARDINAL
ejpam-4918	346	5	2156-2168 2164	CARDINAL
ejpam-4918	346	6	4	CARDINAL
ejpam-4918	348	1	∆−1r	CARDINAL
ejpam-4918	349	1	zero	CARDINAL
ejpam-4918	353	1	0	CARDINAL
ejpam-4918	353	2	φ	ORG
ejpam-4918	364	1	0	CARDINAL
ejpam-4918	364	2	r.	NORP
ejpam-4918	365	1	∈	ORG
ejpam-4918	365	2	∈	ORG
ejpam-4918	367	1	aj	PERSON
ejpam-4918	368	1	−1	DATE
ejpam-4918	369	1	0	CARDINAL
ejpam-4918	369	2	ω	ORG
ejpam-4918	370	1	∆−1r	CARDINAL
ejpam-4918	372	1	4	CARDINAL
ejpam-4918	374	1	1	CARDINAL
ejpam-4918	375	1	2	CARDINAL
ejpam-4918	375	2	1−	LANGUAGE
ejpam-4918	377	1	1	CARDINAL
ejpam-4918	377	2	2	CARDINAL
ejpam-4918	379	1	2	CARDINAL
ejpam-4918	379	2	1	CARDINAL
ejpam-4918	380	1	1	CARDINAL
ejpam-4918	381	1	ϕ = σni=1cili	ORG
ejpam-4918	381	2	ϕ(r	PERSON
ejpam-4918	382	1	e)ajhj	DATE
ejpam-4918	383	1	∈	ORG
ejpam-4918	383	2	1−	LANGUAGE
ejpam-4918	384	1	∈	ORG
ejpam-4918	384	2	ϕ1((er	CARDINAL
ejpam-4918	387	1	+ ecn(er)ωln(ωg(e))ωln(ωg(am))f(ln	GPE
ejpam-4918	388	1	+ ecne(er)ωln(am)f(ln	DATE
ejpam-4918	388	2	ec1e 2(r)ωl1(a1)f(l1	DATE
ejpam-4918	389	1	+ e2cnrωln(am)f(ln	GPE
ejpam-4918	389	2	h1)l1h1 + ·	ORG
ejpam-4918	389	3	+ ecnrωln(am)f(ln	PERSON
ejpam-4918	389	4	+ cnrωln(am)f(ln	PERSON
ejpam-4918	389	5	0	CARDINAL
ejpam-4918	389	6	e. ali	PERSON
ejpam-4918	390	1	j. pure	PERSON
ejpam-4918	390	2	16	CARDINAL
ejpam-4918	390	3	4	CARDINAL
ejpam-4918	390	4	2023	CARDINAL
ejpam-4918	390	5	2156-2168	CARDINAL
ejpam-4918	390	6	1− e)c1((1− e)r)ωl1(ωg((1− e)a1))f(l1	LAW
ejpam-4918	391	1	1− e)cn((1− e)r)ωln(ωg((1−	DATE
ejpam-4918	391	2	1− e)c1((1−	LAW
ejpam-4918	391	3	e)r)ωl1((1− e)a1)f(l1	DATE
ejpam-4918	391	4	1− e)cn(1− e)rωln((1− e)am)f(ln	LAW
ejpam-4918	391	5	1− e)[c1rωl1(a1)f(l1	DATE
ejpam-4918	391	6	+ cnrωln(am)f(ln	PERSON
ejpam-4918	391	7	1− e)ϕ(r	LAW
ejpam-4918	392	1	0	CARDINAL
ejpam-4918	393	1	1	CARDINAL
ejpam-4918	394	1	ψ2(((1−	ORG
ejpam-4918	396	1	ψ(r	PERSON
ejpam-4918	397	1	1−	ORDINAL
ejpam-4918	397	2	0	CARDINAL
ejpam-4918	403	1	∈	ORG
ejpam-4918	406	1	2.9	CARDINAL
ejpam-4918	406	2	17	CARDINAL
ejpam-4918	409	1	0	CARDINAL
ejpam-4918	410	1	li ⪯ lj	PERSON
ejpam-4918	411	1	ciωli(ωg((ere)aj))f(li	NORP
ejpam-4918	413	1	ω	ORG
ejpam-4918	414	1	2	CARDINAL
ejpam-4918	415	1	5	CARDINAL
ejpam-4918	416	1	20	CARDINAL
ejpam-4918	416	2	3.7	CARDINAL
ejpam-4918	418	1	6	CARDINAL
ejpam-4918	419	1	22	CARDINAL
ejpam-4918	419	2	3.19	CARDINAL
ejpam-4918	419	3	monoid	ORG
ejpam-4918	421	1	ω)-quasi	CARDINAL
ejpam-4918	422	1	6	CARDINAL
ejpam-4918	428	1	5	CARDINAL
ejpam-4918	429	1	ω)-quasi	CARDINAL
ejpam-4918	429	2	6	CARDINAL
ejpam-4918	430	1	5	CARDINAL
ejpam-4918	431	1	ri	GPE
ejpam-4918	431	2	∈	ORG
ejpam-4918	432	1	∏ i∈i ri	PERCENT
ejpam-4918	433	1	e. ali / eur	PERSON
ejpam-4918	434	1	j. pure	PERSON
ejpam-4918	434	2	16	CARDINAL
ejpam-4918	434	3	4	CARDINAL
ejpam-4918	434	4	2023	CARDINAL
ejpam-4918	434	5	2156-2168	CARDINAL
ejpam-4918	435	1	ri	GPE
ejpam-4918	436	1	ri	GPE
ejpam-4918	437	1	ri	GPE
ejpam-4918	437	2	ω	CARDINAL
ejpam-4918	437	3	∏	CARDINAL
ejpam-4918	439	1	ri	GPE
ejpam-4918	439	2	∈	ORG
ejpam-4918	439	3	ϕ(r	PERSON
ejpam-4918	440	1	0	CARDINAL
ejpam-4918	443	1	∈ ri	GPE
ejpam-4918	444	1	∈	ORG
ejpam-4918	446	1	ψ(v	PERSON
ejpam-4918	448	1	∈	ORG
ejpam-4918	449	1	∏	ORG
ejpam-4918	451	1	∏	ORG
ejpam-4918	453	1	cui ω	PERSON
ejpam-4918	455	1	∑	PERSON
ejpam-4918	456	1	u(ωg(riψi(v	ORG
ejpam-4918	458	1	∑	PERSON
ejpam-4918	458	2	v)∈xs(ϕi	ORG
ejpam-4918	459	1	u(ωg(riψi(v	ORG
ejpam-4918	462	1	ϕ(r	PERSON
ejpam-4918	463	1	0	CARDINAL
ejpam-4918	466	1	∈	ORG
ejpam-4918	466	2	g ∈m	PERSON
ejpam-4918	466	3	ri	GPE
ejpam-4918	470	1	0	CARDINAL
ejpam-4918	470	2	ω	CARDINAL
ejpam-4918	471	1	ψ(r	PERSON
ejpam-4918	471	2	0	CARDINAL
ejpam-4918	473	1	5	CARDINAL
ejpam-4918	478	1	q∗m	ORG
ejpam-4918	478	2	0	CARDINAL
ejpam-4918	478	3	σnj=1βjgj	ORG
ejpam-4918	479	1	2.1.16	CARDINAL
ejpam-4918	480	1	23	CARDINAL
ejpam-4918	481	1	aiu	PERSON
ejpam-4918	481	2	−1	DATE
ejpam-4918	482	1	−1	DATE
ejpam-4918	482	2	= ckw −1	PERSON
ejpam-4918	482	3	w ∈ r.	PERSON
ejpam-4918	482	4	2.1.16	CARDINAL
ejpam-4918	483	1	23	CARDINAL
ejpam-4918	483	2	j and k	WORK_OF_ART
ejpam-4918	483	3	∈	ORG
ejpam-4918	483	4	2167	CARDINAL
ejpam-4918	483	5	−1	DATE
ejpam-4918	484	1	σnj=1bjgj	GPE
ejpam-4918	484	2	φ2 = σnj=1djgj	GPE
ejpam-4918	484	3	σpk=1ekhk ∈	PERSON
ejpam-4918	485	1	lemma 1.	ORG
ejpam-4918	486	1	gish1 ̸= gjsh1	PERSON
ejpam-4918	489	1	−1	DATE
ejpam-4918	491	1	0	CARDINAL
ejpam-4918	491	2	ϕ1φ2ψ2(wt	ORG
ejpam-4918	491	3	−1	DATE
ejpam-4918	492	1	0	CARDINAL
ejpam-4918	493	1	0	CARDINAL
ejpam-4918	496	1	0	CARDINAL
ejpam-4918	496	2	0	CARDINAL
ejpam-4918	496	3	0	CARDINAL
ejpam-4918	496	4	−1	DATE
ejpam-4918	497	1	2.1.16	CARDINAL
ejpam-4918	498	1	23	CARDINAL
ejpam-4918	498	2	∈	ORG
ejpam-4918	498	3	∈	ORG
ejpam-4918	498	4	w−1bj	GPE
ejpam-4918	499	1	−1	DATE
ejpam-4918	499	2	−1	DATE
ejpam-4918	501	1	qψ1φ1ϕ1	ORG
ejpam-4918	502	1	−1))f(hk	MONEY
ejpam-4918	504	1	0	CARDINAL
ejpam-4918	504	2	0	CARDINAL
ejpam-4918	506	1	0	CARDINAL
ejpam-4918	509	1	0	CARDINAL
ejpam-4918	509	2	w−1bj	GPE
ejpam-4918	509	3	−1	DATE
ejpam-4918	510	1	0	CARDINAL
ejpam-4918	511	1	0	CARDINAL
ejpam-4918	511	2	0	CARDINAL
ejpam-4918	512	1	−1	DATE
ejpam-4918	514	1	0	CARDINAL
ejpam-4918	515	1	ckωhk(ωg(rai))(up	ORG
ejpam-4918	515	2	−1	DATE
ejpam-4918	515	3	0.therefore	CARDINAL
ejpam-4918	516	1	1	CARDINAL
ejpam-4918	516	2	l. zhao	PERSON
ejpam-4918	516	3	x. zhu	PERSON
ejpam-4918	516	4	q. gu	PERSON
ejpam-4918	518	1	63(3):417–430	CARDINAL
ejpam-4918	518	2	2013	DATE
ejpam-4918	519	1	2	CARDINAL
ejpam-4918	519	2	e. ali	PERSON
ejpam-4918	522	1	j. pure	PERSON
ejpam-4918	522	2	16(3):1878–1893	CARDINAL
ejpam-4918	522	3	2023	CARDINAL
ejpam-4918	523	1	3	CARDINAL
ejpam-4918	523	2	e. ali	PERSON
ejpam-4918	523	3	a. elshokry	PERSON
ejpam-4918	523	4	z. kui	PERSON
ejpam-4918	525	1	j.	PERSON
ejpam-4918	525	2	8:375–387, 2014	DATE
ejpam-4918	526	1	4	CARDINAL
ejpam-4918	526	2	z. peng	PERSON
ejpam-4918	526	3	q. gu	PERSON
ejpam-4918	526	4	l. zhao	PERSON
ejpam-4918	528	1	asian-european journal of mathematics	ORG
ejpam-4918	528	2	2015	DATE
ejpam-4918	529	1	5	CARDINAL
ejpam-4918	529	2	z. k. liu	PERSON
ejpam-4918	531	1	33(3):649–661	CARDINAL
ejpam-4918	531	2	2005	DATE
ejpam-4918	532	1	6	CARDINAL
ejpam-4918	532	2	l. zhao	PERSON
ejpam-4918	532	3	y. q. zhou	PERSON
ejpam-4918	534	1	glasgow	GPE
ejpam-4918	535	1	j.	PERSON
ejpam-4918	535	2	58:313–323	DATE
ejpam-4918	535	3	2016	DATE
ejpam-4918	536	1	7	CARDINAL
ejpam-4918	536	2	a. v. kelarev	PERSON
ejpam-4918	538	1	pte. ltd.	ORG
ejpam-4918	538	2	singapore	GPE
ejpam-4918	538	3	2002	DATE
ejpam-4918	539	1	8	CARDINAL
ejpam-4918	539	2	d. s. passman	PERSON
ejpam-4918	541	1	john wiley & sons ltd.	ORG
ejpam-4918	541	2	new york	GPE
ejpam-4918	541	3	1977	DATE
ejpam-4918	542	1	2168	CARDINAL
ejpam-4918	542	2	9	CARDINAL
ejpam-4918	542	3	a. r. nasr-isfahani	PERSON
ejpam-4918	542	4	a. moussavi	PERSON
ejpam-4918	543	1	glasg	PERSON
ejpam-4918	545	1	j.	PERSON
ejpam-4918	545	2	51(3):425–440	DATE
ejpam-4918	545	3	2009	DATE
ejpam-4918	546	1	10	CARDINAL
ejpam-4918	546	2	a. moussavi	PERSON
ejpam-4918	549	1	hungar	PERSON
ejpam-4918	549	2	107(3):207–224, 2005	DATE
ejpam-4918	550	1	11	CARDINAL
ejpam-4918	550	2	g. f. birkenmeier	PERSON
ejpam-4918	550	3	j. k. park	PERSON
ejpam-4918	552	1	j. algebra	PERSON
ejpam-4918	552	2	265:457–477, 2003	DATE
ejpam-4918	553	1	12	CARDINAL
ejpam-4918	553	2	c. y. hong	PERSON
ejpam-4918	553	3	n. k. kim	PERSON
ejpam-4918	553	4	t. k. kwak	PERSON
ejpam-4918	554	1	baer	ORG
ejpam-4918	555	1	j. pure	PERSON
ejpam-4918	556	1	151(3):215–226, 2000	DATE
ejpam-4918	557	1	13	CARDINAL
ejpam-4918	557	2	g. birkenmeier	PERSON
ejpam-4918	557	3	f. kim	PERSON
ejpam-4918	557	4	j. y	PERSON
ejpam-4918	557	5	j. k park	PERSON
ejpam-4918	560	1	29:639–660	CARDINAL
ejpam-4918	560	2	2001	DATE
ejpam-4918	561	1	14	CARDINAL
ejpam-4918	561	2	g. birkenmeier	PERSON
ejpam-4918	561	3	f. kim	PERSON
ejpam-4918	561	4	j. y	PERSON
ejpam-4918	561	5	j. k park	PERSON
ejpam-4918	563	1	kyungpook mathematical j.	ORG
ejpam-4918	563	2	40:247–254	DATE
ejpam-4918	563	3	2000	DATE
ejpam-4918	564	1	15	CARDINAL
ejpam-4918	564	2	z. k. liu	PERSON
ejpam-4918	567	1	30:3885–3890	PRODUCT
ejpam-4918	567	2	2002	DATE
ejpam-4918	568	1	16	CARDINAL
ejpam-4918	568	2	z. k. liu	PERSON
ejpam-4918	568	3	r. y. zhao	PERSON
ejpam-4918	570	1	glasgow j. math.	PERSON
ejpam-4918	570	2	48:217–229	CARDINAL
ejpam-4918	570	3	2006	DATE
ejpam-4918	571	1	17	CARDINAL
ejpam-4918	571	2	e. ali	PERSON
ejpam-4918	571	3	a. elshokry	PERSON
ejpam-4918	573	1	asia	LOC
ejpam-4918	573	2	j. math	ORG
ejpam-4918	573	3	5(1):14–26	DATE
ejpam-4918	573	4	2018	DATE
ejpam-4918	574	1	18	CARDINAL
ejpam-4918	574	2	e. ali	PERSON
ejpam-4918	574	3	a. elshokry	PERSON
ejpam-4918	576	1	asia	LOC
ejpam-4918	576	2	6(1):1–17	CARDINAL
ejpam-4918	576	3	2019	DATE
ejpam-4918	577	1	19	CARDINAL
ejpam-4918	577	2	n. k. kim	PERSON
ejpam-4918	577	3	y. lee	PERSON
ejpam-4918	579	1	j. pure	PERSON
ejpam-4918	580	1	223	CARDINAL
ejpam-4918	580	2	2003	DATE
ejpam-4918	581	1	20	CARDINAL
ejpam-4918	581	2	z. k. liu	PERSON
ejpam-4918	581	3	z.	PERSON
ejpam-4918	582	1	glasg	PERSON
ejpam-4918	584	1	j.	PERSON
ejpam-4918	584	2	48(2):217–229, 2006	DATE
ejpam-4918	585	1	21	CARDINAL
ejpam-4918	585	2	z. k. liu	PERSON
ejpam-4918	585	3	z. wenhui	PERSON
ejpam-4918	587	1	36:928–947, 2008	DATE
ejpam-4918	588	1	22	CARDINAL
ejpam-4918	588	2	e. ali	PERSON
ejpam-4918	588	3	a. elshokry	PERSON
ejpam-4918	589	1	ω)-quasi	CARDINAL
ejpam-4918	590	1	23	CARDINAL
ejpam-4918	590	2	j. c. mcconnell	PERSON
ejpam-4918	590	3	j. c. robson	PERSON
ejpam-4918	591	1	noncommutative noetherian	NORP
ejpam-4918	592	1	john wiley	PERSON
ejpam-4918	592	2	chichester	GPE
ejpam-4918	592	3	1987	DATE