id	sid	eid	entity	type
ejpam-4034	1	1	european journal	ORG
ejpam-4034	2	1	14	DATE
ejpam-4034	2	2	3	CARDINAL
ejpam-4034	2	3	2021	DATE
ejpam-4034	2	4	989	CARDINAL
ejpam-4034	2	5	1307-5543	DATE
ejpam-4034	3	1	new york	GPE
ejpam-4034	3	2	waheed ahmad khan1	PERSON
ejpam-4034	3	3	abdelghani taouti2,∗	ORG
ejpam-4034	3	4	salami2	ORG
ejpam-4034	3	5	zahid hussain1	PERSON
ejpam-4034	3	6	university of education	ORG
ejpam-4034	3	7	lahore	GPE
ejpam-4034	3	8	attock campus	ORG
ejpam-4034	3	9	pakistan	GPE
ejpam-4034	3	10	2	CARDINAL
ejpam-4034	3	11	university city p. o. box	ORG
ejpam-4034	3	12	7947	DATE
ejpam-4034	3	13	united arab	GPE
ejpam-4034	3	14	emirates	GPE
ejpam-4034	4	1	first	ORDINAL
ejpam-4034	6	1	2020	DATE
ejpam-4034	6	2	17d20	CARDINAL
ejpam-4034	6	3	16y60	CARDINAL
ejpam-4034	6	4	gamma la-rings	PERSON
ejpam-4034	7	1	n. nobusawa	PERSON
ejpam-4034	7	2	13	CARDINAL
ejpam-4034	8	1	abelian	NORP
ejpam-4034	8	2	between two	CARDINAL
ejpam-4034	9	1	nobusawa	ORG
ejpam-4034	9	2	∈	ORG
ejpam-4034	9	3	∈	ORG
ejpam-4034	9	4	1	CARDINAL
ejpam-4034	11	1	satyanarayana	PERSON
ejpam-4034	11	2	17	CARDINAL
ejpam-4034	12	1	2	CARDINAL
ejpam-4034	13	1	rao	ORG
ejpam-4034	13	2	14	CARDINAL
ejpam-4034	14	1	5	CARDINAL
ejpam-4034	14	2	6	CARDINAL
ejpam-4034	15	1	7	CARDINAL
ejpam-4034	15	2	8	CARDINAL
ejpam-4034	18	1	15	CARDINAL
ejpam-4034	19	1	9	CARDINAL
ejpam-4034	21	1	w. a. khan	PERSON
ejpam-4034	21	2	ganitaouti@yahoo.com.au	DATE
ejpam-4034	21	3	ab	ORG
ejpam-4034	21	4	taouti	GPE
ejpam-4034	21	5	a. salami	PERSON
ejpam-4034	21	6	z. hussain	PERSON
ejpam-4034	22	1	989	CARDINAL
ejpam-4034	22	2	2021	CARDINAL
ejpam-4034	23	1	w. a. khan et al	PERSON
ejpam-4034	24	1	j. pure	PERSON
ejpam-4034	24	2	14	CARDINAL
ejpam-4034	24	3	3	CARDINAL
ejpam-4034	24	4	2021	CARDINAL
ejpam-4034	24	5	989	CARDINAL
ejpam-4034	24	6	zy)x	ORG
ejpam-4034	25	1	groupoid	ORG
ejpam-4034	25	2	groupoid	ORG
ejpam-4034	25	3	3	CARDINAL
ejpam-4034	26	1	la-groupoid s	ORG
ejpam-4034	26	2	la-groupoid s	ORG
ejpam-4034	27	1	3	CARDINAL
ejpam-4034	29	1	q(pr	ORG
ejpam-4034	30	1	12	CARDINAL
ejpam-4034	30	2	∈	ORG
ejpam-4034	30	3	al = am	PERSON
ejpam-4034	31	1	ma ⇒ l	PERSON
ejpam-4034	33	1	∈ s.	PERSON
ejpam-4034	33	2	∈	ORG
ejpam-4034	34	1	la-groupoid	ORG
ejpam-4034	34	2	kamran	PERSON
ejpam-4034	35	1	16	CARDINAL
ejpam-4034	36	1	∈	ORG
ejpam-4034	37	1	∈	ORG
ejpam-4034	37	2	m−1 ∈	PRODUCT
ejpam-4034	37	3	m−1m	PRODUCT
ejpam-4034	38	1	10	CARDINAL
ejpam-4034	38	2	11	CARDINAL
ejpam-4034	39	1	two	CARDINAL
ejpam-4034	39	2	4	CARDINAL
ejpam-4034	40	1	two	CARDINAL
ejpam-4034	40	2	la-groupoid	ORG
ejpam-4034	40	3	20	CARDINAL
ejpam-4034	41	1	18	CARDINAL
ejpam-4034	42	1	x−1	GPE
ejpam-4034	43	1	⊕	GPE
ejpam-4034	45	1	pq	PERSON
ejpam-4034	45	2	∈	ORG
ejpam-4034	47	1	∈	ORG
ejpam-4034	47	2	0	CARDINAL
ejpam-4034	47	3	0	CARDINAL
ejpam-4034	48	1	6=	CARDINAL
ejpam-4034	48	2	⊆	CARDINAL
ejpam-4034	49	1	⊆	CARDINAL
ejpam-4034	49	2	r.	NORP
ejpam-4034	49	3	two	CARDINAL
ejpam-4034	50	1	pq ∈	PERSON
ejpam-4034	50	2	∈	ORG
ejpam-4034	51	1	19	CARDINAL
ejpam-4034	52	1	∈	ORG
ejpam-4034	52	2	∈	ORG
ejpam-4034	52	3	i.	PERSON
ejpam-4034	52	4	∈	ORG
ejpam-4034	52	5	first	ORDINAL
ejpam-4034	53	1	3	CARDINAL
ejpam-4034	55	1	2	CARDINAL
ejpam-4034	55	2	2.1	CARDINAL
ejpam-4034	58	1	1	CARDINAL
ejpam-4034	59	1	19	CARDINAL
ejpam-4034	59	2	two	CARDINAL
ejpam-4034	59	3	∈	ORG
ejpam-4034	59	4	∈ γ	ORG
ejpam-4034	60	1	w. a. khan et al	PERSON
ejpam-4034	61	1	j. pure	PERSON
ejpam-4034	61	2	14	CARDINAL
ejpam-4034	61	3	3	CARDINAL
ejpam-4034	61	4	2021	CARDINAL
ejpam-4034	61	5	989	CARDINAL
ejpam-4034	63	1	aαc 2.	PERSON
ejpam-4034	64	1	3	CARDINAL
ejpam-4034	65	1	4	CARDINAL
ejpam-4034	66	1	∈	ORG
ejpam-4034	66	2	∈	ORG
ejpam-4034	66	3	1	CARDINAL
ejpam-4034	67	1	two	CARDINAL
ejpam-4034	68	1	1	CARDINAL
ejpam-4034	68	2	operation⊕	ORG
ejpam-4034	69	1	1 + a1 a2 a3	QUANTITY
ejpam-4034	69	2	a5 a6 a7	ORG
ejpam-4034	69	3	a1 a1 a2 a3 a4 a5 a6 a7 a8	PERSON
ejpam-4034	69	4	a5 a8	PERSON
ejpam-4034	69	5	a4	ORG
ejpam-4034	69	6	a1 a3 a6 a8 a5	PERSON
ejpam-4034	69	7	a3 a2 a1 a8 a7 a6 a5 a5 a5 a6 a7 a8	PRODUCT
ejpam-4034	69	8	a6 a8 a5 a7	ORG
ejpam-4034	69	9	a4	ORG
ejpam-4034	69	10	a5 a6 a7	ORG
ejpam-4034	71	1	a1 a5 a5 a1 a1 a5 a5 a1 a3 a1 a5 a5 a1 a1 a5 a5 a1 a4 a1 a1 a1 a1 a1 a1 a1 a1 a5 a1	PERSON
ejpam-4034	71	2	a1 a6 a1 a8 a8 a1 a1 a8 a8	PERSON
ejpam-4034	71	3	⊕ s1 s2	PERSON
ejpam-4034	72	1	∈	ORG
ejpam-4034	72	2	∈ γ .	ORG
ejpam-4034	73	1	2	CARDINAL
ejpam-4034	73	2	{k	PERSON
ejpam-4034	73	3	two	CARDINAL
ejpam-4034	74	1	2	CARDINAL
ejpam-4034	74	2	⊕	GPE
ejpam-4034	77	1	k m k n l	PERSON
ejpam-4034	78	1	k l m n	FAC
ejpam-4034	78	2	o	DATE
ejpam-4034	79	1	k n l	PERSON
ejpam-4034	81	1	k l m n	FAC
ejpam-4034	82	1	o	DATE
ejpam-4034	83	1	k l m n	FAC
ejpam-4034	84	1	k k	PERSON
ejpam-4034	93	1	k m k k m m m k o	PERSON
ejpam-4034	103	1	k k	PERSON
ejpam-4034	116	1	k m k m k	PERSON
ejpam-4034	120	1	w. a. khan et al	PERSON
ejpam-4034	121	1	j. pure	PERSON
ejpam-4034	121	2	14	CARDINAL
ejpam-4034	121	3	3	CARDINAL
ejpam-4034	121	4	2021	CARDINAL
ejpam-4034	121	5	989	CARDINAL
ejpam-4034	121	6	992⊕	CARDINAL
ejpam-4034	123	1	γ ∈	ORG
ejpam-4034	123	2	2	CARDINAL
ejpam-4034	124	1	∈	ORG
ejpam-4034	124	2	γ ∈ γ	ORG
ejpam-4034	124	3	∈	ORG
ejpam-4034	124	4	i.	PERSON
ejpam-4034	124	5	3	CARDINAL
ejpam-4034	125	1	3	CARDINAL
ejpam-4034	125	2	∈	ORG
ejpam-4034	125	3	∈	ORG
ejpam-4034	125	4	∈	ORG
ejpam-4034	125	5	∈	ORG
ejpam-4034	126	1	3	CARDINAL
ejpam-4034	127	1	1	CARDINAL
ejpam-4034	128	1	3	CARDINAL
ejpam-4034	130	1	∈	ORG
ejpam-4034	130	2	∈	ORG
ejpam-4034	132	1	3	CARDINAL
ejpam-4034	132	2	r. lemma	PERSON
ejpam-4034	133	1	2	CARDINAL
ejpam-4034	133	2	3	CARDINAL
ejpam-4034	135	1	3	CARDINAL
ejpam-4034	135	2	r.	NORP
ejpam-4034	136	1	γ ∈ γ	ORG
ejpam-4034	136	2	3	CARDINAL
ejpam-4034	137	1	r. lemma	PERSON
ejpam-4034	138	1	3	CARDINAL
ejpam-4034	141	1	γ ∈ γ	ORG
ejpam-4034	143	1	r.	NORP
ejpam-4034	145	1	3	CARDINAL
ejpam-4034	145	2	γ	GPE
ejpam-4034	147	1	3	CARDINAL
ejpam-4034	147	2	lemma 2	ORG
ejpam-4034	149	1	∈	ORG
ejpam-4034	151	1	∈	ORG
ejpam-4034	152	1	i.	GPE
ejpam-4034	153	1	3	CARDINAL
ejpam-4034	153	2	r.	NORP
ejpam-4034	153	3	2	CARDINAL
ejpam-4034	155	1	w. a. khan et al	PERSON
ejpam-4034	156	1	j. pure	PERSON
ejpam-4034	156	2	14	CARDINAL
ejpam-4034	156	3	3	CARDINAL
ejpam-4034	156	4	2021	CARDINAL
ejpam-4034	156	5	989	CARDINAL
ejpam-4034	157	1	r.	NORP
ejpam-4034	157	2	3	CARDINAL
ejpam-4034	159	1	∈	ORG
ejpam-4034	162	1	∈	ORG
ejpam-4034	163	1	i.	PERSON
ejpam-4034	164	1	r.	NORP
ejpam-4034	165	1	4	CARDINAL
ejpam-4034	166	1	0 6=	CARDINAL
ejpam-4034	166	2	⊆	CARDINAL
ejpam-4034	166	3	⊆	CARDINAL
ejpam-4034	166	4	r.	NORP
ejpam-4034	166	5	1	CARDINAL
ejpam-4034	168	1	3	CARDINAL
ejpam-4034	172	1	6⊆	DATE
ejpam-4034	172	2	6⊆	DATE
ejpam-4034	172	3	0	CARDINAL
ejpam-4034	172	4	i.	PERSON
ejpam-4034	172	5	⊆	CARDINAL
ejpam-4034	174	1	⊆	CARDINAL
ejpam-4034	176	1	0 6=	CARDINAL
ejpam-4034	176	2	⊆	CARDINAL
ejpam-4034	181	1	⊆	CARDINAL
ejpam-4034	182	1	⊆	CARDINAL
ejpam-4034	184	1	⊆	CARDINAL
ejpam-4034	184	2	⊆	CARDINAL
ejpam-4034	184	3	⊆	CARDINAL
ejpam-4034	185	1	0	CARDINAL
ejpam-4034	185	2	2	CARDINAL
ejpam-4034	187	1	0	CARDINAL
ejpam-4034	188	1	4	CARDINAL
ejpam-4034	189	1	0	CARDINAL
ejpam-4034	189	2	r.	NORP
ejpam-4034	191	1	6	CARDINAL
ejpam-4034	192	1	two	CARDINAL
ejpam-4034	192	2	0	CARDINAL
ejpam-4034	193	1	0 6=	CARDINAL
ejpam-4034	193	2	⊆	CARDINAL
ejpam-4034	193	3	4	CARDINAL
ejpam-4034	193	4	⊆	CARDINAL
ejpam-4034	193	5	⊆	CARDINAL
ejpam-4034	194	1	⊆	CARDINAL
ejpam-4034	194	2	⊆	CARDINAL
ejpam-4034	195	1	r. conversely	PERSON
ejpam-4034	195	2	0 6=	CARDINAL
ejpam-4034	195	3	i.	PERSON
ejpam-4034	195	4	1	CARDINAL
ejpam-4034	197	1	0	CARDINAL
ejpam-4034	198	1	a. w. a. khan et al	PERSON
ejpam-4034	199	1	j. pure	PERSON
ejpam-4034	199	2	14	CARDINAL
ejpam-4034	199	3	3	CARDINAL
ejpam-4034	199	4	2021	CARDINAL
ejpam-4034	199	5	989	CARDINAL
ejpam-4034	199	6	994	CARDINAL
ejpam-4034	199	7	5	CARDINAL
ejpam-4034	201	1	1	CARDINAL
ejpam-4034	203	1	6	CARDINAL
ejpam-4034	204	1	3	CARDINAL
ejpam-4034	206	1	3	CARDINAL
ejpam-4034	206	2	lemma 2	ORG
ejpam-4034	207	1	r. 3	ORG
ejpam-4034	210	1	5	CARDINAL
ejpam-4034	211	1	s,+	ORG
ejpam-4034	211	2	two	CARDINAL
ejpam-4034	212	1	1	CARDINAL
ejpam-4034	216	1	2	CARDINAL
ejpam-4034	219	1	3	CARDINAL
ejpam-4034	219	2	γ	GPE
ejpam-4034	219	3	∈	ORG
ejpam-4034	222	1	3	CARDINAL
ejpam-4034	222	2	two	CARDINAL
ejpam-4034	224	1	3	CARDINAL
ejpam-4034	224	2	la	GPE
ejpam-4034	224	3	⊕	GPE
ejpam-4034	225	1	3 +	CARDINAL
ejpam-4034	226	1	⊕	GPE
ejpam-4034	227	1	y ∈ s	PERSON
ejpam-4034	227	2	γ ∈	ORG
ejpam-4034	228	1	6	CARDINAL
ejpam-4034	229	1	ab ⊆	ORG
ejpam-4034	229	2	⊆	CARDINAL
ejpam-4034	229	3	⊆	CARDINAL
ejpam-4034	231	1	0	CARDINAL
ejpam-4034	231	2	⊆	CARDINAL
ejpam-4034	231	3	⊆	CARDINAL
ejpam-4034	231	4	s. w. a. khan et al	PERSON
ejpam-4034	232	1	j. pure	PERSON
ejpam-4034	232	2	14	CARDINAL
ejpam-4034	232	3	3	CARDINAL
ejpam-4034	232	4	2021	CARDINAL
ejpam-4034	232	5	989	CARDINAL
ejpam-4034	232	6	995	CARDINAL
ejpam-4034	232	7	8	CARDINAL
ejpam-4034	233	1	sn	ORG
ejpam-4034	233	2	0	CARDINAL
ejpam-4034	233	3	s ∈ s	WORK_OF_ART
ejpam-4034	234	1	nil s. definition	PERSON
ejpam-4034	234	2	9	DATE
ejpam-4034	235	1	0	CARDINAL
ejpam-4034	235	2	γ	GPE
ejpam-4034	236	1	7	CARDINAL
ejpam-4034	237	1	1	CARDINAL
ejpam-4034	237	2	0	CARDINAL
ejpam-4034	240	1	0	CARDINAL
ejpam-4034	240	2	6=	CARDINAL
ejpam-4034	241	1	⊆	CARDINAL
ejpam-4034	241	2	⊆	CARDINAL
ejpam-4034	241	3	y ⊆ a.	ORG
ejpam-4034	241	4	0	CARDINAL
ejpam-4034	241	5	6=	CARDINAL
ejpam-4034	241	6	xγsγy	PERSON
ejpam-4034	241	7	⊆	CARDINAL
ejpam-4034	242	1	two	CARDINAL
ejpam-4034	243	1	0	CARDINAL
ejpam-4034	243	2	6=	CARDINAL
ejpam-4034	244	1	⊆	CARDINAL
ejpam-4034	245	1	0	CARDINAL
ejpam-4034	245	2	⊆	CARDINAL
ejpam-4034	245	3	⊆	CARDINAL
ejpam-4034	245	4	⊆	CARDINAL
ejpam-4034	245	5	⊆	CARDINAL
ejpam-4034	245	6	⊆	CARDINAL
ejpam-4034	245	7	⊆	CARDINAL
ejpam-4034	245	8	y ⊆ a.	ORG
ejpam-4034	245	9	0	CARDINAL
ejpam-4034	245	10	6=	CARDINAL
ejpam-4034	245	11	xγsγy	PERSON
ejpam-4034	246	1	⊆	CARDINAL
ejpam-4034	246	2	∈	ORG
ejpam-4034	247	1	⊆	CARDINAL
ejpam-4034	247	2	⊆	CARDINAL
ejpam-4034	247	3	6⊆	DATE
ejpam-4034	248	1	x′	CARDINAL
ejpam-4034	249	1	+ x′	DATE
ejpam-4034	249	2	6∈	CARDINAL
ejpam-4034	251	1	x′	DATE
ejpam-4034	251	2	0	CARDINAL
ejpam-4034	251	3	x′	DATE
ejpam-4034	253	1	0	CARDINAL
ejpam-4034	256	1	0	CARDINAL
ejpam-4034	257	1	1	CARDINAL
ejpam-4034	261	1	0	CARDINAL
ejpam-4034	261	2	s. proof	PERSON
ejpam-4034	262	1	s.	PERSON
ejpam-4034	263	1	6=	CARDINAL
ejpam-4034	264	1	0	CARDINAL
ejpam-4034	264	2	6=	CARDINAL
ejpam-4034	264	3	⊆	CARDINAL
ejpam-4034	264	4	⊆	CARDINAL
ejpam-4034	264	5	⊆	CARDINAL
ejpam-4034	265	1	0	CARDINAL
ejpam-4034	265	2	6=	CARDINAL
ejpam-4034	266	1	⊆	CARDINAL
ejpam-4034	266	2	y of s.	PERSON
ejpam-4034	267	1	⊆	CARDINAL
ejpam-4034	268	1	⊆	CARDINAL
ejpam-4034	269	1	3	CARDINAL
ejpam-4034	273	1	s. lemma 4	PERSON
ejpam-4034	273	2	γ -lasemiring s. let xγy	ORG
ejpam-4034	274	1	0	CARDINAL
ejpam-4034	276	1	0	CARDINAL
ejpam-4034	278	1	6=	DATE
ejpam-4034	278	2	γ ∈ γ .	ORG
ejpam-4034	279	1	0 6=	CARDINAL
ejpam-4034	280	1	∈	ORG
ejpam-4034	280	2	∈	ORG
ejpam-4034	280	3	y ∈ p	ORG
ejpam-4034	282	1	0	CARDINAL
ejpam-4034	283	1	0	CARDINAL
ejpam-4034	284	1	w. a. khan et al	PERSON
ejpam-4034	285	1	j. pure	PERSON
ejpam-4034	285	2	14	CARDINAL
ejpam-4034	285	3	3	CARDINAL
ejpam-4034	285	4	2021	CARDINAL
ejpam-4034	285	5	989	CARDINAL
ejpam-4034	285	6	996	CARDINAL
ejpam-4034	286	1	2	CARDINAL
ejpam-4034	286	2	0	CARDINAL
ejpam-4034	288	1	6=	CARDINAL
ejpam-4034	288	2	γ ∈ γ	ORG
ejpam-4034	289	1	0	CARDINAL
ejpam-4034	290	1	4	CARDINAL
ejpam-4034	290	2	6=	CARDINAL
ejpam-4034	291	1	∈	ORG
ejpam-4034	291	2	y ∈ p	ORG
ejpam-4034	292	1	2	CARDINAL
ejpam-4034	292	2	0	CARDINAL
ejpam-4034	293	1	3.1	CARDINAL
ejpam-4034	294	1	5	CARDINAL
ejpam-4034	296	1	∈	ORG
ejpam-4034	296	2	∈	ORG
ejpam-4034	298	1	y ∈ s	PERSON
ejpam-4034	298	2	∈	ORG
ejpam-4034	300	1	6	CARDINAL
ejpam-4034	301	1	∈	ORG
ejpam-4034	304	1	⊆	CARDINAL
ejpam-4034	304	2	⊆	CARDINAL
ejpam-4034	304	3	γ ∈	ORG
ejpam-4034	306	1	2	CARDINAL
ejpam-4034	307	1	γ ∈	ORG
ejpam-4034	309	1	6	CARDINAL
ejpam-4034	310	1	7	CARDINAL
ejpam-4034	311	1	s.	PERSON
ejpam-4034	314	1	⊆	CARDINAL
ejpam-4034	315	1	w. a. khan et al	PERSON
ejpam-4034	316	1	j. pure	PERSON
ejpam-4034	316	2	14	CARDINAL
ejpam-4034	316	3	3	CARDINAL
ejpam-4034	316	4	2021	CARDINAL
ejpam-4034	316	5	989	CARDINAL
ejpam-4034	319	1	⊆	CARDINAL
ejpam-4034	322	1	⊆	CARDINAL
ejpam-4034	322	2	⊆	CARDINAL
ejpam-4034	322	3	γ ∈	ORG
ejpam-4034	324	1	⊆	CARDINAL
ejpam-4034	325	1	s. corollary 3	ORG
ejpam-4034	326	1	s.	PERSON
ejpam-4034	329	1	7	CARDINAL
ejpam-4034	329	2	4	CARDINAL
ejpam-4034	330	1	⊆	CARDINAL
ejpam-4034	330	2	⊆	CARDINAL
ejpam-4034	330	3	z.	PERSON
ejpam-4034	332	1	s. proof	ORG
ejpam-4034	333	1	lemma 7	ORG
ejpam-4034	333	2	s.	GPE
ejpam-4034	333	3	∩	PERSON
ejpam-4034	333	4	⊆	CARDINAL
ejpam-4034	333	5	⊆	CARDINAL
ejpam-4034	334	1	s. theorem 10	ORG
ejpam-4034	336	1	s. proof	ORG
ejpam-4034	337	1	lemma 7	ORG
ejpam-4034	337	2	s. similarly	GPE
ejpam-4034	338	1	∈	ORG
ejpam-4034	339	1	⊆	CARDINAL
ejpam-4034	339	2	⊆	CARDINAL
ejpam-4034	340	1	⊆	CARDINAL
ejpam-4034	341	1	s. w. a. khan et al	PERSON
ejpam-4034	342	1	j. pure	PERSON
ejpam-4034	342	2	14	CARDINAL
ejpam-4034	342	3	3	CARDINAL
ejpam-4034	342	4	2021	CARDINAL
ejpam-4034	342	5	989	CARDINAL
ejpam-4034	342	6	3.2	CARDINAL
ejpam-4034	343	1	γ	GPE
ejpam-4034	345	1	10	CARDINAL
ejpam-4034	346	1	⊆	CARDINAL
ejpam-4034	346	2	⊆	CARDINAL
ejpam-4034	347	1	⊆	CARDINAL
ejpam-4034	347	2	s. remark 5.	ORG
ejpam-4034	349	1	11	DATE
ejpam-4034	350	1	0	CARDINAL
ejpam-4034	350	2	6=	CARDINAL
ejpam-4034	351	1	⊆	CARDINAL
ejpam-4034	351	2	⊆	CARDINAL
ejpam-4034	351	3	⊆	CARDINAL
ejpam-4034	351	4	s. remark 6.	ORG
ejpam-4034	353	1	8	CARDINAL
ejpam-4034	355	1	xγ	PERSON
ejpam-4034	355	2	⊆	CARDINAL
ejpam-4034	355	3	∈	ORG
ejpam-4034	358	1	xγ	PERSON
ejpam-4034	358	2	⊆	CARDINAL
ejpam-4034	359	1	sγx)γ	PERSON
ejpam-4034	359	2	⊆	CARDINAL
ejpam-4034	359	3	sγx)γsγ	NORP
ejpam-4034	360	1	⊆	CARDINAL
ejpam-4034	360	2	⊆	CARDINAL
ejpam-4034	360	3	⊆	CARDINAL
ejpam-4034	360	4	sγx)γ	PERSON
ejpam-4034	360	5	⊆	CARDINAL
ejpam-4034	361	1	∈	ORG
ejpam-4034	361	2	⊆	CARDINAL
ejpam-4034	361	3	⊆	CARDINAL
ejpam-4034	362	1	∈	ORG
ejpam-4034	365	1	0	CARDINAL
ejpam-4034	365	2	⊆	CARDINAL
ejpam-4034	365	3	∈	ORG
ejpam-4034	367	1	8	CARDINAL
ejpam-4034	367	2	11	DATE
ejpam-4034	368	1	y ∈ s	PERSON
ejpam-4034	368	2	γ ∈	ORG
ejpam-4034	370	1	∈	ORG
ejpam-4034	371	1	∈	ORG
ejpam-4034	374	1	∈	ORG
ejpam-4034	374	2	y ∈ s	PERSON
ejpam-4034	374	3	γ ∈	ORG
ejpam-4034	375	1	⊆	CARDINAL
ejpam-4034	375	2	w. a. khan et al	PERSON
ejpam-4034	376	1	j. pure	PERSON
ejpam-4034	376	2	14	CARDINAL
ejpam-4034	376	3	3	CARDINAL
ejpam-4034	376	4	2021	CARDINAL
ejpam-4034	376	5	989	CARDINAL
ejpam-4034	376	6	⊆	CARDINAL
ejpam-4034	376	7	⊆	CARDINAL
ejpam-4034	376	8	∈	ORG
ejpam-4034	377	1	∈	ORG
ejpam-4034	377	2	∈	ORG
ejpam-4034	377	3	s. let xγy	ORG
ejpam-4034	378	1	⊆	CARDINAL
ejpam-4034	378	2	⊆	CARDINAL
ejpam-4034	378	3	s−p	GPE
ejpam-4034	381	1	∈	ORG
ejpam-4034	382	1	∈	ORG
ejpam-4034	383	1	⊆	CARDINAL
ejpam-4034	384	1	s. corollary 5	ORG
ejpam-4034	385	1	y ∈ s	PERSON
ejpam-4034	385	2	γ ∈ γ .	ORG
ejpam-4034	387	1	∈	ORG
ejpam-4034	387	2	∈	ORG
ejpam-4034	389	1	11	CARDINAL
ejpam-4034	389	2	12	CARDINAL
ejpam-4034	390	1	s.	ORG
ejpam-4034	390	2	⊆	CARDINAL
ejpam-4034	392	1	lemma 7	ORG
ejpam-4034	392	2	s. let xγy ∈	ORG
ejpam-4034	392	3	y ∈ s	PERSON
ejpam-4034	392	4	γ ∈	ORG
ejpam-4034	394	1	xγy ∈	PERSON
ejpam-4034	394	2	x.	PERSON
ejpam-4034	395	1	xγy)γy	ORG
ejpam-4034	396	1	⊆	CARDINAL
ejpam-4034	396	2	∈	ORG
ejpam-4034	396	3	⊆	CARDINAL
ejpam-4034	396	4	yγy ⊆	CARDINAL
ejpam-4034	396	5	s. corollary 6	ORG
ejpam-4034	398	1	⊆	CARDINAL
ejpam-4034	400	1	12	CARDINAL
ejpam-4034	401	1	γ ∈	ORG
ejpam-4034	403	1	12	CARDINAL
ejpam-4034	404	1	γ ∈	ORG
ejpam-4034	406	1	5	CARDINAL
ejpam-4034	406	2	1000 4	DATE
ejpam-4034	409	1	fourth	ORDINAL
ejpam-4034	409	2	zahid hussain	PERSON
ejpam-4034	409	3	first	ORDINAL
ejpam-4034	409	4	waheed ahmad khan	PERSON
ejpam-4034	409	5	pakistan	GPE
ejpam-4034	410	1	1	CARDINAL
ejpam-4034	410	2	w. barnes	PERSON
ejpam-4034	411	1	nobusawa. pacific journal of mathematics	ORG
ejpam-4034	411	2	18(3):411–422, 1966	DATE
ejpam-4034	412	1	2	CARDINAL
ejpam-4034	412	2	n. groenewald	PERSON
ejpam-4034	414	1	quaestiones mathematicae	ORG
ejpam-4034	414	2	14:411–417, 1991	DATE
ejpam-4034	415	1	3	CARDINAL
ejpam-4034	415	2	j. r. cho	PERSON
ejpam-4034	415	3	j. jezek pusan	PERSON
ejpam-4034	415	4	t. kepka	PERSON
ejpam-4034	416	1	praha	PERSON
ejpam-4034	417	1	czechoslovak mathematical journal	ORG
ejpam-4034	417	2	49:124, 1996	DATE
ejpam-4034	418	1	4	CARDINAL
ejpam-4034	418	2	d. m. devi	PERSON
ejpam-4034	418	3	g. s. latha	PERSON
ejpam-4034	419	1	1	CARDINAL
ejpam-4034	419	2	2:378–389	CARDINAL
ejpam-4034	419	3	2015	DATE
ejpam-4034	420	1	5	CARDINAL
ejpam-4034	420	2	t. k. dutta	PERSON
ejpam-4034	420	3	s. k. sardar	PERSON
ejpam-4034	423	1	univ	NORP
ejpam-4034	424	1	al.	ORG
ejpam-4034	424	2	i. cuza iasi	PERSON
ejpam-4034	424	3	46:319–329	CARDINAL
ejpam-4034	424	4	2000	DATE
ejpam-4034	425	1	6	CARDINAL
ejpam-4034	425	2	t. k. dutta	PERSON
ejpam-4034	425	3	s. k. sardar	PERSON
ejpam-4034	426	1	semiprime	PERSON
ejpam-4034	427	1	novi	PERSON
ejpam-4034	427	2	j. math	PERSON
ejpam-4034	427	3	30(1):97–108	CARDINAL
ejpam-4034	427	4	2000	DATE
ejpam-4034	428	1	7	CARDINAL
ejpam-4034	428	2	r. d. jagatap	PERSON
ejpam-4034	428	3	y. s. pawar.	PERSON
ejpam-4034	430	1	novi	PERSON
ejpam-4034	430	2	j. math	PERSON
ejpam-4034	430	3	2009	DATE
ejpam-4034	431	1	8	CARDINAL
ejpam-4034	431	2	r. d. jagatap	NORP
ejpam-4034	431	3	y. s. pawar.	PERSON
ejpam-4034	433	1	bulletin	PERSON
ejpam-4034	433	2	kerala mathematics association	ORG
ejpam-4034	433	3	7(2):51–61	CARDINAL
ejpam-4034	433	4	2010	DATE
ejpam-4034	434	1	9	CARDINAL
ejpam-4034	434	2	waheed ahmad khan	PERSON
ejpam-4034	434	3	abdelghani taouti	PERSON
ejpam-4034	434	4	seema karkain	PERSON
ejpam-4034	434	5	azar salami	ORG
ejpam-4034	434	6	waqar arif	PERSON
ejpam-4034	436	1	european journal	ORG
ejpam-4034	436	2	12(2):544–552	DATE
ejpam-4034	436	3	2019	DATE
ejpam-4034	437	1	1001	DATE
ejpam-4034	438	1	10	CARDINAL
ejpam-4034	438	2	q. mushtaq	PERSON
ejpam-4034	438	3	m. khan	PERSON
ejpam-4034	441	1	4th	ORDINAL
ejpam-4034	441	2	2003	DATE
ejpam-4034	443	1	11	CARDINAL
ejpam-4034	443	2	q. mushtaq	PERSON
ejpam-4034	443	3	s. m. yusuf	PERSON
ejpam-4034	446	1	bull.math	PERSON
ejpam-4034	446	2	8:65–70	DATE
ejpam-4034	446	3	1978	DATE
ejpam-4034	447	1	12	CARDINAL
ejpam-4034	447	2	q. mushtaq	PERSON
ejpam-4034	447	3	s. m. yusuf	PERSON
ejpam-4034	449	1	j. nat	PERSON
ejpam-4034	450	1	sci.	ORG
ejpam-4034	450	2	19(1):57–62, 1979	DATE
ejpam-4034	451	1	13	CARDINAL
ejpam-4034	451	2	n. nobusawa	PERSON
ejpam-4034	453	1	osaka	GPE
ejpam-4034	453	2	1(1):81–89, 1964	DATE
ejpam-4034	454	1	14	CARDINAL
ejpam-4034	454	2	m. m. k. rao	PERSON
ejpam-4034	455	1	southeast asian	NORP
ejpam-4034	456	1	19(1):49–54, 1995	DATE
ejpam-4034	457	1	15	CARDINAL
ejpam-4034	457	2	m. m. k. rao	PERSON
ejpam-4034	459	1	38(1):47–68	CARDINAL
ejpam-4034	459	2	2018	DATE
ejpam-4034	460	1	16	CARDINAL
ejpam-4034	460	2	m. sarwar	PERSON
ejpam-4034	462	1	phd thesis	PERSON
ejpam-4034	462	2	quaid-i-azam university	PERSON
ejpam-4034	462	3	islamabad	GPE
ejpam-4034	462	4	1993	DATE
ejpam-4034	463	1	17	CARDINAL
ejpam-4034	463	2	b. satyanarayana	PERSON
ejpam-4034	465	1	indian	NORP
ejpam-4034	465	2	41(3):427–433, 1999	DATE
ejpam-4034	466	1	18	CARDINAL
ejpam-4034	469	1	j. contemp	PERSON
ejpam-4034	471	1	5(5):209–222	CARDINAL
ejpam-4034	471	2	2010	DATE
ejpam-4034	472	1	19	CARDINAL
ejpam-4034	472	2	p. yiarayong	PERSON
ejpam-4034	474	1	gazi university journal of science	ORG
ejpam-4034	474	2	29(1):143–148	ORG
ejpam-4034	474	3	2016	DATE
ejpam-4034	475	1	20	CARDINAL
ejpam-4034	475	2	s. m. yusuf	PERSON
ejpam-4034	478	1	7th	ORDINAL
ejpam-4034	479	1	islamabad	GPE
ejpam-4034	479	2	2006	DATE