id	sid	eid	entity	type
ejpam-2231	1	1	output.dvi european journal	ORG
ejpam-2231	2	1	9	CARDINAL
ejpam-2231	2	2	3	CARDINAL
ejpam-2231	2	3	2016	DATE
ejpam-2231	2	4	277	CARDINAL
ejpam-2231	3	1	waqar khan1,2,3	PERSON
ejpam-2231	3	2	faisal yousafzai2,∗	PERSON
ejpam-2231	3	3	madad khan3	PERSON
ejpam-2231	3	4	1	CARDINAL
ejpam-2231	3	5	southwest university	ORG
ejpam-2231	3	6	chongqing	GPE
ejpam-2231	3	7	china 2 school	ORG
ejpam-2231	3	8	university of science and technology of	ORG
ejpam-2231	3	9	china	GPE
ejpam-2231	3	10	hefei	GPE
ejpam-2231	3	11	china 3	ORG
ejpam-2231	3	12	comsats institute of information technology	ORG
ejpam-2231	3	13	abbottabad	GPE
ejpam-2231	3	14	pakistan	GPE
ejpam-2231	10	1	0	CARDINAL
ejpam-2231	10	2	3	CARDINAL
ejpam-2231	12	1	0,1)-ideal	CARDINAL
ejpam-2231	12	2	2010	DATE
ejpam-2231	12	3	20m10	CARDINAL
ejpam-2231	12	4	20n99	CARDINAL
ejpam-2231	13	1	1	CARDINAL
ejpam-2231	13	2	abc	ORG
ejpam-2231	14	1	first	ORDINAL
ejpam-2231	14	2	kazim	PERSON
ejpam-2231	14	3	1972	DATE
ejpam-2231	14	4	3	CARDINAL
ejpam-2231	15	1	la	GPE
ejpam-2231	15	2	abelian	NORP
ejpam-2231	16	1	12	CARDINAL
ejpam-2231	17	1	a(bc	PERSON
ejpam-2231	17	2	∈	ORG
ejpam-2231	17	3	7	CARDINAL
ejpam-2231	23	1	w. khan	PERSON
ejpam-2231	23	2	f. yousafzai	PERSON
ejpam-2231	24	1	m. khan	PERSON
ejpam-2231	25	1	277	CARDINAL
ejpam-2231	25	2	2016	CARDINAL
ejpam-2231	26	1	w. khan	PERSON
ejpam-2231	26	2	f. yousafzai	PERSON
ejpam-2231	26	3	m. khan	PERSON
ejpam-2231	27	1	j. pure	PERSON
ejpam-2231	27	2	9 (	PERCENT
ejpam-2231	27	3	2016	DATE
ejpam-2231	27	4	277-291 278	QUANTITY
ejpam-2231	27	5	yousafzai et al.	PERSON
ejpam-2231	28	1	16	CARDINAL
ejpam-2231	28	2	∗	CARDINAL
ejpam-2231	28	3	la	GPE
ejpam-2231	28	4	y ∈ s	PERSON
ejpam-2231	28	5	17	CARDINAL
ejpam-2231	30	1	khan et al	PERSON
ejpam-2231	30	2	4	CARDINAL
ejpam-2231	31	1	two	CARDINAL
ejpam-2231	32	1	two	CARDINAL
ejpam-2231	34	1	la	GPE
ejpam-2231	34	2	5	CARDINAL
ejpam-2231	34	3	9–11	CARDINAL
ejpam-2231	34	4	15	CARDINAL
ejpam-2231	36	1	13	CARDINAL
ejpam-2231	37	1	gulistan	DATE
ejpam-2231	37	2	14	CARDINAL
ejpam-2231	38	1	gulistan et al	FAC
ejpam-2231	39	1	2	CARDINAL
ejpam-2231	39	2	la	GPE
ejpam-2231	39	3	la	GPE
ejpam-2231	40	1	2	CARDINAL
ejpam-2231	41	1	0	CARDINAL
ejpam-2231	42	1	0	CARDINAL
ejpam-2231	42	2	0	CARDINAL
ejpam-2231	42	3	zero	CARDINAL
ejpam-2231	42	4	s. example	ORG
ejpam-2231	43	1	1	CARDINAL
ejpam-2231	44	1	zero	CARDINAL
ejpam-2231	44	2	a.	PERSON
ejpam-2231	45	1	2	CARDINAL
ejpam-2231	47	1	zero	CARDINAL
ejpam-2231	47	2	a.	PERSON
ejpam-2231	49	1	∈	ORG
ejpam-2231	49	2	8	CARDINAL
ejpam-2231	50	1	∈	ORG
ejpam-2231	50	2	6=	CARDINAL
ejpam-2231	50	3	s. w. khan	PERSON
ejpam-2231	50	4	f. yousafzai	PERSON
ejpam-2231	50	5	m. khan	PERSON
ejpam-2231	51	1	j. pure	PERSON
ejpam-2231	51	2	9 (	PERCENT
ejpam-2231	51	3	2016	DATE
ejpam-2231	51	4	277-291 279	QUANTITY
ejpam-2231	54	1	am−1a	WORK_OF_ART
ejpam-2231	54	2	∈	ORG
ejpam-2231	55	1	∈	ORG
ejpam-2231	55	2	3	CARDINAL
ejpam-2231	56	1	ab)m	ORG
ejpam-2231	56	2	∈	ORG
ejpam-2231	56	3	3	CARDINAL
ejpam-2231	57	1	⊆	CARDINAL
ejpam-2231	57	2	s.	ORG
ejpam-2231	57	3	la	GPE
ejpam-2231	58	1	6	CARDINAL
ejpam-2231	58	2	1	CARDINAL
ejpam-2231	59	1	la	GPE
ejpam-2231	59	2	⊆	CARDINAL
ejpam-2231	60	1	0	CARDINAL
ejpam-2231	60	2	sa0 = s.	ORG
ejpam-2231	60	3	s.	GPE
ejpam-2231	60	4	zero	CARDINAL
ejpam-2231	60	5	0	CARDINAL
ejpam-2231	60	6	la	GPE
ejpam-2231	60	7	zero	CARDINAL
ejpam-2231	60	8	0-(0,2)-bisimple	CARDINAL
ejpam-2231	60	9	6=	CARDINAL
ejpam-2231	60	10	0	CARDINAL
ejpam-2231	60	11	zero	CARDINAL
ejpam-2231	60	12	0	CARDINAL
ejpam-2231	60	13	integer l. let m	PERSON
ejpam-2231	61	1	∈	ORG
ejpam-2231	62	1	a0	ORG
ejpam-2231	63	1	0	CARDINAL
ejpam-2231	63	2	2)-bi	CARDINAL
ejpam-2231	63	3	a⊆ sa ∀a	ORG
ejpam-2231	63	4	⊆	CARDINAL
ejpam-2231	63	5	s.	PERSON
ejpam-2231	64	1	1	CARDINAL
ejpam-2231	64	2	s.	PERSON
ejpam-2231	64	3	sa2	PERSON
ejpam-2231	64	4	s. lemma	PERSON
ejpam-2231	65	1	1	CARDINAL
ejpam-2231	67	1	s. proof	ORG
ejpam-2231	68	1	⊆	CARDINAL
ejpam-2231	68	2	sa2	PERSON
ejpam-2231	69	1	sl	PERSON
ejpam-2231	69	2	s. w. khan	PERSON
ejpam-2231	69	3	f. yousafzai	PERSON
ejpam-2231	69	4	m. khan	PERSON
ejpam-2231	70	1	j. pure	PERSON
ejpam-2231	70	2	9 (	PERCENT
ejpam-2231	70	3	2016	DATE
ejpam-2231	70	4	277-291 280	QUANTITY
ejpam-2231	72	1	s. lemma	PERSON
ejpam-2231	73	1	2	CARDINAL
ejpam-2231	74	1	s. proof	ORG
ejpam-2231	75	1	⊆	CARDINAL
ejpam-2231	75	2	⊆	CARDINAL
ejpam-2231	76	1	a2a	DATE
ejpam-2231	76	2	⊆	CARDINAL
ejpam-2231	76	3	sa2 ⊆ a.	ORG
ejpam-2231	76	4	as)s ⊆	ORG
ejpam-2231	76	5	⊆ ar ⊆	MONEY
ejpam-2231	76	6	rs)a⊆	ORG
ejpam-2231	76	7	s. theorem 1	ORG
ejpam-2231	79	1	1,2)-ideal	CARDINAL
ejpam-2231	79	2	some (0,2)-ideal	CARDINAL
ejpam-2231	79	3	s. proof	ORG
ejpam-2231	83	1	1,2)-ideal	CARDINAL
ejpam-2231	83	2	s)a=(sa2	PERSON
ejpam-2231	83	3	⊆	MONEY
ejpam-2231	85	1	s(aa	CARDINAL
ejpam-2231	85	2	as)]a	GPE
ejpam-2231	87	1	a)a]a ⊆[(bs	PERSON
ejpam-2231	87	2	s.	PERSON
ejpam-2231	90	1	⊆	CARDINAL
ejpam-2231	90	2	ai)a]s	PERSON
ejpam-2231	90	3	⊆	MONEY
ejpam-2231	90	4	s. w. khan	PERSON
ejpam-2231	90	5	f. yousafzai	PERSON
ejpam-2231	90	6	m. khan	PERSON
ejpam-2231	91	1	j. pure	PERSON
ejpam-2231	91	2	9 (	PERCENT
ejpam-2231	91	3	2016	DATE
ejpam-2231	91	4	277	CARDINAL
ejpam-2231	93	1	sa3	GPE
ejpam-2231	93	2	a2a	DATE
ejpam-2231	94	1	⊆	CARDINAL
ejpam-2231	97	1	⊆	CARDINAL
ejpam-2231	97	2	ra2 ⊆	ORG
ejpam-2231	97	3	sa3 of	GPE
ejpam-2231	98	1	so2	PERSON
ejpam-2231	98	2	1,2)-ideal	CARDINAL
ejpam-2231	98	3	s. lemma	PERSON
ejpam-2231	99	1	3	CARDINAL
ejpam-2231	99	2	s.	ORG
ejpam-2231	99	3	1,2)-ideal	CARDINAL
ejpam-2231	100	1	⊆	CARDINAL
ejpam-2231	100	2	r∩ l. proof	PERSON
ejpam-2231	101	1	1,2)-ideal	CARDINAL
ejpam-2231	106	1	a(s	PERSON
ejpam-2231	106	2	a⊆	NORP
ejpam-2231	106	3	⊆	CARDINAL
ejpam-2231	106	4	aa⊆ rs	PERSON
ejpam-2231	106	5	⊆	CARDINAL
ejpam-2231	106	6	⊆	CARDINAL
ejpam-2231	106	7	zero	CARDINAL
ejpam-2231	107	1	0-minimal	QUANTITY
ejpam-2231	107	2	o	DATE
ejpam-2231	107	3	0	CARDINAL
ejpam-2231	108	1	4	CARDINAL
ejpam-2231	108	2	zero	CARDINAL
ejpam-2231	109	1	la	GPE
ejpam-2231	110	1	0	CARDINAL
ejpam-2231	110	2	a. proof	PERSON
ejpam-2231	111	1	so2	ORG
ejpam-2231	112	1	⊆	CARDINAL
ejpam-2231	112	2	so2	PERSON
ejpam-2231	112	3	so2	PERSON
ejpam-2231	112	4	0	CARDINAL
ejpam-2231	112	5	so2 = a.	ORG
ejpam-2231	112	6	so2	PERSON
ejpam-2231	112	7	so2 ⊆	ORG
ejpam-2231	112	8	so2	PERSON
ejpam-2231	112	9	0	CARDINAL
ejpam-2231	112	10	so2	PERSON
ejpam-2231	112	11	0	CARDINAL
ejpam-2231	112	12	⊆	CARDINAL
ejpam-2231	112	13	0	CARDINAL
ejpam-2231	112	14	o2 = a.	ORG
ejpam-2231	112	15	0	CARDINAL
ejpam-2231	112	16	so2	PERSON
ejpam-2231	113	1	0	CARDINAL
ejpam-2231	114	1	a. w. khan	PERSON
ejpam-2231	114	2	f. yousafzai	PERSON
ejpam-2231	114	3	m. khan	PERSON
ejpam-2231	115	1	j. pure	PERSON
ejpam-2231	115	2	9 (	PERCENT
ejpam-2231	115	3	2016	DATE
ejpam-2231	115	4	277-291 282	QUANTITY
ejpam-2231	115	5	2	CARDINAL
ejpam-2231	116	1	zero	CARDINAL
ejpam-2231	117	1	la	GPE
ejpam-2231	118	1	0	CARDINAL
ejpam-2231	118	2	o	DATE
ejpam-2231	118	3	a. lemma 5	PERSON
ejpam-2231	119	1	zero	CARDINAL
ejpam-2231	119	2	0-minimal	QUANTITY
ejpam-2231	119	3	s.	ORG
ejpam-2231	119	4	0	CARDINAL
ejpam-2231	119	5	o	DATE
ejpam-2231	119	6	s. proof	ORG
ejpam-2231	120	1	0-minimal	QUANTITY
ejpam-2231	120	2	so2	PERSON
ejpam-2231	120	3	oo2 ⊆	ORG
ejpam-2231	120	4	o	DATE
ejpam-2231	120	5	0	CARDINAL
ejpam-2231	120	6	so2 ⊆ o	ORG
ejpam-2231	120	7	o	DATE
ejpam-2231	120	8	⊆	CARDINAL
ejpam-2231	120	9	⊆	CARDINAL
ejpam-2231	120	10	r.	NORP
ejpam-2231	120	11	o	DATE
ejpam-2231	120	12	0	CARDINAL
ejpam-2231	121	1	lemma 4	ORG
ejpam-2231	121	2	2	CARDINAL
ejpam-2231	121	3	3	CARDINAL
ejpam-2231	123	1	s. theorem 2	ORG
ejpam-2231	125	1	2,1)-ideal	CARDINAL
ejpam-2231	125	2	s. proof	ORG
ejpam-2231	126	1	2,1)-ideal	CARDINAL
ejpam-2231	126	2	s.	ORG
ejpam-2231	128	1	sa2	PERSON
ejpam-2231	128	2	⊆	CARDINAL
ejpam-2231	128	3	a.	PERSON
ejpam-2231	128	4	2,1)-ideal	CARDINAL
ejpam-2231	128	5	a= a.	PERSON
ejpam-2231	128	6	a=(as)(a2s	PERSON
ejpam-2231	130	1	b2s	ORG
ejpam-2231	130	2	⊆ bs	MONEY
ejpam-2231	130	3	⊆	CARDINAL
ejpam-2231	130	4	2,1)-ideal	CARDINAL
ejpam-2231	130	5	a. w. khan	PERSON
ejpam-2231	130	6	f. yousafzai	PERSON
ejpam-2231	130	7	m. khan	PERSON
ejpam-2231	131	1	j. pure	PERSON
ejpam-2231	131	2	9 (	PERCENT
ejpam-2231	131	3	2016	DATE
ejpam-2231	131	4	277-291 283	QUANTITY
ejpam-2231	131	5	2,1)ideal	CARDINAL
ejpam-2231	131	6	2,1)-ideal	CARDINAL
ejpam-2231	131	7	c2s)(c2s	GPE
ejpam-2231	134	1	ss)]c	PERSON
ejpam-2231	134	2	c)(s	DATE
ejpam-2231	134	3	c2s)]c	PERSON
ejpam-2231	137	1	⊆	CARDINAL
ejpam-2231	137	2	2,1)-ideal	CARDINAL
ejpam-2231	137	3	s. theorem 3	ORG
ejpam-2231	137	4	zero	CARDINAL
ejpam-2231	138	1	0	CARDINAL
ejpam-2231	138	2	0	CARDINAL
ejpam-2231	139	1	sa2 = a. proof	PERSON
ejpam-2231	140	1	sa2 ⊆ a.	ORG
ejpam-2231	140	2	sa2	PERSON
ejpam-2231	140	3	0	CARDINAL
ejpam-2231	140	4	0	CARDINAL
ejpam-2231	141	1	0	CARDINAL
ejpam-2231	143	1	a2a	DATE
ejpam-2231	143	2	∈	ORG
ejpam-2231	143	3	0	CARDINAL
ejpam-2231	144	1	0	DATE
ejpam-2231	144	2	a2}= ss	PERSON
ejpam-2231	145	1	0	CARDINAL
ejpam-2231	145	2	⊆	CARDINAL
ejpam-2231	145	3	0	CARDINAL
ejpam-2231	145	4	0	CARDINAL
ejpam-2231	145	5	a2}s]{0	ORG
ejpam-2231	145	6	0	CARDINAL
ejpam-2231	145	7	⊆	CARDINAL
ejpam-2231	145	8	0	CARDINAL
ejpam-2231	145	9	⊆	CARDINAL
ejpam-2231	145	10	0	CARDINAL
ejpam-2231	146	1	0	CARDINAL
ejpam-2231	146	2	0	CARDINAL
ejpam-2231	146	3	6=	CARDINAL
ejpam-2231	146	4	0	CARDINAL
ejpam-2231	146	5	0	CARDINAL
ejpam-2231	146	6	6=	CARDINAL
ejpam-2231	146	7	0	CARDINAL
ejpam-2231	147	1	0	CARDINAL
ejpam-2231	147	2	sa2 = a. corollary 4.	ORG
ejpam-2231	147	3	zero	CARDINAL
ejpam-2231	147	4	0	CARDINAL
ejpam-2231	149	1	6	CARDINAL
ejpam-2231	151	1	s. proof	ORG
ejpam-2231	153	1	⊆	CARDINAL
ejpam-2231	153	2	⊆	CARDINAL
ejpam-2231	153	3	⊆	MONEY
ejpam-2231	153	4	s. the converse of lemma 6	ORG
ejpam-2231	155	1	1	CARDINAL
ejpam-2231	155	2	s. w. khan	PERSON
ejpam-2231	155	3	f. yousafzai	PERSON
ejpam-2231	155	4	m. khan	PERSON
ejpam-2231	156	1	j. pure	PERSON
ejpam-2231	156	2	9 (	PERCENT
ejpam-2231	156	3	2016	DATE
ejpam-2231	156	4	277-291 284	QUANTITY
ejpam-2231	156	5	4	CARDINAL
ejpam-2231	157	1	zero	CARDINAL
ejpam-2231	158	1	0-(0,2)-bisimple	CARDINAL
ejpam-2231	161	1	6=	CARDINAL
ejpam-2231	161	2	0	CARDINAL
ejpam-2231	162	1	⊆	CARDINAL
ejpam-2231	162	2	s = a.	ORG
ejpam-2231	162	3	6=	CARDINAL
ejpam-2231	162	4	0	CARDINAL
ejpam-2231	163	1	0	CARDINAL
ejpam-2231	163	2	0,2)-bisimple	CARDINAL
ejpam-2231	164	1	4	CARDINAL
ejpam-2231	165	1	0-(0,2)-bisimple	CARDINAL
ejpam-2231	165	2	6	CARDINAL
ejpam-2231	167	1	0-(0,2)-bisimple	CARDINAL
ejpam-2231	168	1	5	CARDINAL
ejpam-2231	169	1	zero	CARDINAL
ejpam-2231	170	1	0	CARDINAL
ejpam-2231	172	1	6=	CARDINAL
ejpam-2231	172	2	0	CARDINAL
ejpam-2231	173	1	4	CARDINAL
ejpam-2231	176	1	a2a	DATE
ejpam-2231	177	1	⊆	CARDINAL
ejpam-2231	177	2	⊆	CARDINAL
ejpam-2231	177	3	a2a	DATE
ejpam-2231	178	1	aa)[s(a2a	PERSON
ejpam-2231	179	1	⊆(aa	ORG
ejpam-2231	179	2	⊆	CARDINAL
ejpam-2231	179	3	0	CARDINAL
ejpam-2231	179	4	aa2 = a.	ORG
ejpam-2231	179	5	a4 ∈ aa2	ORG
ejpam-2231	179	6	aa2 = a.	ORG
ejpam-2231	179	7	4	CARDINAL
ejpam-2231	180	1	4.	CARDINAL
ejpam-2231	180	2	la	GPE
ejpam-2231	180	3	3	CARDINAL
ejpam-2231	181	1	2	CARDINAL
ejpam-2231	182	1	sam = ams	PERSON
ejpam-2231	182	2	3	CARDINAL
ejpam-2231	183	1	s. lemma	ORG
ejpam-2231	186	1	s. w. khan	PERSON
ejpam-2231	186	2	f. yousafzai	PERSON
ejpam-2231	186	3	m. khan	PERSON
ejpam-2231	187	1	j. pure	PERSON
ejpam-2231	187	2	9 (	PERCENT
ejpam-2231	187	3	2016	DATE
ejpam-2231	187	4	277-291 285	QUANTITY
ejpam-2231	190	1	lmrm	PERSON
ejpam-2231	191	1	rm+n	PERSON
ejpam-2231	192	1	rm+n	PERSON
ejpam-2231	194	1	srm+n =rm+ns	PERSON
ejpam-2231	194	2	srm+n	PERSON
ejpam-2231	195	1	srm+n	PERSON
ejpam-2231	195	2	lm+n−1 l	PERSON
ejpam-2231	198	1	lm+n−2	PERSON
ejpam-2231	198	2	rs)(l	PERSON
ejpam-2231	198	3	⊆srm+n	CARDINAL
ejpam-2231	199	1	srm+n−1	ORG
ejpam-2231	199	2	⊆	CARDINAL
ejpam-2231	200	1	⊆	CARDINAL
ejpam-2231	200	2	sr	ORG
ejpam-2231	200	3	⊆(ss ·	ORG
ejpam-2231	200	4	⊆	CARDINAL
ejpam-2231	200	5	⊆	CARDINAL
ejpam-2231	200	6	⊆	CARDINAL
ejpam-2231	201	1	s. theorem 6	ORG
ejpam-2231	202	1	zero	CARDINAL
ejpam-2231	203	1	0	CARDINAL
ejpam-2231	203	2	s. proof	ORG
ejpam-2231	204	1	6=	CARDINAL
ejpam-2231	204	2	0	CARDINAL
ejpam-2231	204	3	lemma 7	ORG
ejpam-2231	204	4	s.	ORG
ejpam-2231	204	5	0	CARDINAL
ejpam-2231	204	6	6=	CARDINAL
ejpam-2231	204	7	⊆	CARDINAL
ejpam-2231	204	8	⊆	CARDINAL
ejpam-2231	204	9	⊆	CARDINAL
ejpam-2231	204	10	∩ l.	PERSON
ejpam-2231	204	11	⊆	CARDINAL
ejpam-2231	204	12	⊆	CARDINAL
ejpam-2231	204	13	0	CARDINAL
ejpam-2231	204	14	0	CARDINAL
ejpam-2231	205	1	0	CARDINAL
ejpam-2231	205	2	0	CARDINAL
ejpam-2231	205	3	6	CARDINAL
ejpam-2231	205	4	⊆	CARDINAL
ejpam-2231	205	5	rm−1r	PERSON
ejpam-2231	205	6	w. khan	PERSON
ejpam-2231	205	7	f. yousafzai	PERSON
ejpam-2231	205	8	m. khan	PERSON
ejpam-2231	206	1	j. pure	PERSON
ejpam-2231	206	2	9 (	PERCENT
ejpam-2231	206	3	2016	DATE
ejpam-2231	206	4	277-291 286	QUANTITY
ejpam-2231	206	5	⊆	CARDINAL
ejpam-2231	207	1	rm−1r	PERSON
ejpam-2231	208	1	srm−2	DATE
ejpam-2231	208	2	⊆	CARDINAL
ejpam-2231	208	3	rrm−3	ORG
ejpam-2231	208	4	⊆(r	WORK_OF_ART
ejpam-2231	208	5	⊆	CARDINAL
ejpam-2231	208	6	rm−3r	PRODUCT
ejpam-2231	208	7	rm−1	PERSON
ejpam-2231	208	8	0	CARDINAL
ejpam-2231	208	9	6=	CARDINAL
ejpam-2231	208	10	⊆	CARDINAL
ejpam-2231	208	11	⊆	CARDINAL
ejpam-2231	208	12	⊆	CARDINAL
ejpam-2231	209	1	r.	NORP
ejpam-2231	210	1	0	CARDINAL
ejpam-2231	210	2	6=	CARDINAL
ejpam-2231	210	3	0	CARDINAL
ejpam-2231	210	4	6=	CARDINAL
ejpam-2231	210	5	ln−1 l	ORG
ejpam-2231	211	1	⊆	CARDINAL
ejpam-2231	212	1	lln−1 = ln−1 l	PERSON
ejpam-2231	212	2	l ⊆l	PERSON
ejpam-2231	212	3	⊆	CARDINAL
ejpam-2231	212	4	ln−1 ⊆	ORG
ejpam-2231	213	1	⊆	CARDINAL
ejpam-2231	213	2	0	CARDINAL
ejpam-2231	213	3	6=	CARDINAL
ejpam-2231	213	4	⊆	CARDINAL
ejpam-2231	213	5	ln−1 ⊆	ORG
ejpam-2231	214	1	s.	ORG
ejpam-2231	214	2	sm n = l since l	PERSON
ejpam-2231	215	1	⊆rl	PERSON
ejpam-2231	219	1	⊆	CARDINAL
ejpam-2231	220	1	s. theorem 7	ORG
ejpam-2231	224	1	0	CARDINAL
ejpam-2231	224	2	s. proof	ORG
ejpam-2231	225	1	6=	CARDINAL
ejpam-2231	225	2	0	CARDINAL
ejpam-2231	225	3	6=	CARDINAL
ejpam-2231	225	4	0	CARDINAL
ejpam-2231	225	5	6=	CARDINAL
ejpam-2231	225	6	0	CARDINAL
ejpam-2231	226	1	0	CARDINAL
ejpam-2231	226	2	6=	CARDINAL
ejpam-2231	226	3	⊆	CARDINAL
ejpam-2231	226	4	lemma 7	ORG
ejpam-2231	227	1	s.	ORG
ejpam-2231	227	2	0	CARDINAL
ejpam-2231	227	3	6=	CARDINAL
ejpam-2231	227	4	⊆	CARDINAL
ejpam-2231	227	5	⊆	CARDINAL
ejpam-2231	228	1	⊆	CARDINAL
ejpam-2231	228	2	rs	PERSON
ejpam-2231	228	3	⊆	CARDINAL
ejpam-2231	228	4	0	CARDINAL
ejpam-2231	228	5	6=	CARDINAL
ejpam-2231	228	6	⊆	CARDINAL
ejpam-2231	229	1	⊆	CARDINAL
ejpam-2231	229	2	⊆rm	PERSON
ejpam-2231	229	3	⊆	CARDINAL
ejpam-2231	229	4	snm n = ss	PERSON
ejpam-2231	229	5	mm n	PERSON
ejpam-2231	230	1	⊆	CARDINAL
ejpam-2231	230	2	s. w. khan	PERSON
ejpam-2231	230	3	f. yousafzai	PERSON
ejpam-2231	230	4	m. khan	PERSON
ejpam-2231	231	1	j. pure	PERSON
ejpam-2231	231	2	9 (	PERCENT
ejpam-2231	231	3	2016	DATE
ejpam-2231	231	4	277	CARDINAL
ejpam-2231	231	5	8	DATE
ejpam-2231	232	1	zero	CARDINAL
ejpam-2231	234	1	s. proof	ORG
ejpam-2231	235	1	la	GPE
ejpam-2231	235	2	s.	PERSON
ejpam-2231	235	3	secondly	ORDINAL
ejpam-2231	235	4	⊆	CARDINAL
ejpam-2231	235	5	⊆	CARDINAL
ejpam-2231	237	1	bm	ORG
ejpam-2231	238	1	s(bnbm	ORG
ejpam-2231	238	2	bm)]bn	PERSON
ejpam-2231	239	1	bmbn)]bn	PERSON
ejpam-2231	240	1	bmbn)]bn	PERSON
ejpam-2231	243	1	⊆	CARDINAL
ejpam-2231	243	2	s. lemma 8	PERSON
ejpam-2231	244	1	〈a〉(m	PERSON
ejpam-2231	245	1	〈a〉(m	PERSON
ejpam-2231	245	2	s. proof	PERSON
ejpam-2231	246	1	{〈a〉(m	PERSON
ejpam-2231	246	2	{〈a〉(m	PERSON
ejpam-2231	248	1	ann ⊆(amnh)ann =	PERSON
ejpam-2231	248	2	amnhn)ann	ORG
ejpam-2231	248	3	⊆	CARDINAL
ejpam-2231	248	4	〈a〉(m	PERSON
ejpam-2231	248	5	〈a〉(m	PERSON
ejpam-2231	248	6	2 ⊆	CARDINAL
ejpam-2231	248	7	〈a〉(m	PERSON
ejpam-2231	249	1	9	CARDINAL
ejpam-2231	250	1	〈a〉(m	PERSON
ejpam-2231	250	2	s.	ORG
ejpam-2231	251	1	w. khan	PERSON
ejpam-2231	251	2	f. yousafzai	PERSON
ejpam-2231	251	3	m. khan	PERSON
ejpam-2231	252	1	j. pure	PERSON
ejpam-2231	252	2	9 (	PERCENT
ejpam-2231	252	3	2016	DATE
ejpam-2231	252	4	277-291	QUANTITY
ejpam-2231	254	1	〈a〉(1,0	PERSON
ejpam-2231	261	1	5	CARDINAL
ejpam-2231	262	1	〈a〉(m	PERSON
ejpam-2231	262	2	s.	ORG
ejpam-2231	263	1	a(m,n	ORG
ejpam-2231	263	2	0	CARDINAL
ejpam-2231	264	1	10	CARDINAL
ejpam-2231	266	1	∈	ORG
ejpam-2231	266	2	2,0)-regular	CARDINAL
ejpam-2231	266	3	∀u ∈ a(0,2	ORG
ejpam-2231	269	1	0,1)-regular	CARDINAL
ejpam-2231	269	2	∈	ORG
ejpam-2231	269	3	∈	ORG
ejpam-2231	270	1	0,1)-ideal	CARDINAL
ejpam-2231	270	2	⊆	CARDINAL
ejpam-2231	270	3	converse	PERSON
ejpam-2231	272	1	2,0)-regular	CARDINAL
ejpam-2231	272	2	2,0)-ideal	CARDINAL
ejpam-2231	273	1	∈	ORG
ejpam-2231	273	2	∈	ORG
ejpam-2231	274	1	∈	ORG
ejpam-2231	274	2	2,0)-ideal	CARDINAL
ejpam-2231	275	1	∈ r(2,0	ORG
ejpam-2231	276	1	sa2	PERSON
ejpam-2231	276	2	2,0)-ideal	CARDINAL
ejpam-2231	276	3	∈	ORG
ejpam-2231	280	1	⊆	CARDINAL
ejpam-2231	280	2	2,0)-regular	CARDINAL
ejpam-2231	282	1	w. khan	PERSON
ejpam-2231	282	2	f. yousafzai	PERSON
ejpam-2231	282	3	m. khan	PERSON
ejpam-2231	283	1	j. pure	PERSON
ejpam-2231	283	2	9 (	PERCENT
ejpam-2231	283	3	2016	DATE
ejpam-2231	283	4	277-291 289	QUANTITY
ejpam-2231	283	5	9	CARDINAL
ejpam-2231	284	1	0	CARDINAL
ejpam-2231	284	2	∈	PRODUCT
ejpam-2231	285	1	0)-regular	CARDINAL
ejpam-2231	285	2	∀u ∈ a(m	ORG
ejpam-2231	288	1	6	CARDINAL
ejpam-2231	289	1	0	CARDINAL
ejpam-2231	289	2	∈	PRODUCT
ejpam-2231	289	3	0)-regular	CARDINAL
ejpam-2231	289	4	∀u ∈ a(m	ORG
ejpam-2231	290	1	11	CARDINAL
ejpam-2231	294	1	12	CARDINAL
ejpam-2231	296	1	0)ideal	ORG
ejpam-2231	296	2	0	CARDINAL
ejpam-2231	296	3	mn	ORG
ejpam-2231	296	4	⊆	CARDINAL
ejpam-2231	296	5	∩ n	PERSON
ejpam-2231	296	6	0	CARDINAL
ejpam-2231	296	7	mn	ORG
ejpam-2231	296	8	s. proof	ORG
ejpam-2231	297	1	0)-ideal	CARDINAL
ejpam-2231	297	2	0	CARDINAL
ejpam-2231	297	3	mn	ORG
ejpam-2231	297	4	⊆	CARDINAL
ejpam-2231	298	1	mn)n	ORG
ejpam-2231	298	2	mn	PERSON
ejpam-2231	298	3	nn n ⊆	ORG
ejpam-2231	298	4	sn n =sm m	PERSON
ejpam-2231	298	5	sn n	PERSON
ejpam-2231	298	6	sn n ⊆	PERSON
ejpam-2231	298	7	o	DATE
ejpam-2231	298	8	6=	CARDINAL
ejpam-2231	298	9	⊆	CARDINAL
ejpam-2231	298	10	s. since s	ORG
ejpam-2231	298	11	9	CARDINAL
ejpam-2231	298	12	0	CARDINAL
ejpam-2231	298	13	6	CARDINAL
ejpam-2231	298	14	pms	WORK_OF_ART
ejpam-2231	299	1	pm	TIME
ejpam-2231	299	2	pms	WORK_OF_ART
ejpam-2231	300	1	0	CARDINAL
ejpam-2231	300	2	0	CARDINAL
ejpam-2231	301	1	⊆	CARDINAL
ejpam-2231	301	2	o	DATE
ejpam-2231	301	3	mn	ORG
ejpam-2231	301	4	⊆	CARDINAL
ejpam-2231	301	5	∩ n	PERSON
ejpam-2231	301	6	⊆	CARDINAL
ejpam-2231	301	7	⊆	PRODUCT
ejpam-2231	302	1	0	CARDINAL
ejpam-2231	302	2	6=	CARDINAL
ejpam-2231	302	3	pms	ORG
ejpam-2231	302	4	⊆	CARDINAL
ejpam-2231	305	1	pms	ORG
ejpam-2231	305	2	spn = pns	PERSON
ejpam-2231	305	3	spm	GPE
ejpam-2231	305	4	spm	GPE
ejpam-2231	305	5	pms	ORG
ejpam-2231	305	6	⊆	CARDINAL
ejpam-2231	306	1	mn	ORG
ejpam-2231	307	1	290	CARDINAL
ejpam-2231	307	2	13	CARDINAL
ejpam-2231	309	1	0)-ideal	CARDINAL
ejpam-2231	309	2	0	CARDINAL
ejpam-2231	309	3	0	CARDINAL
ejpam-2231	309	4	s. proof	ORG
ejpam-2231	310	1	11	CARDINAL
ejpam-2231	311	1	∩ n	PERSON
ejpam-2231	311	2	⊆	CARDINAL
ejpam-2231	311	3	n n ⊆ mn	ORG
ejpam-2231	311	4	sn	ORG
ejpam-2231	312	1	⊆m	NORP
ejpam-2231	312	2	ms)(n ns	PERSON
ejpam-2231	312	3	sn n	PERSON
ejpam-2231	312	4	n ns = n n(m ms	PERSON
ejpam-2231	313	1	= n n	PERSON
ejpam-2231	313	2	⊆	CARDINAL
ejpam-2231	313	3	mn	ORG
ejpam-2231	313	4	⊆	CARDINAL
ejpam-2231	313	5	⊆	CARDINAL
ejpam-2231	314	1	oms	PERSON
ejpam-2231	314	2	⊆	CARDINAL
ejpam-2231	314	3	∩ n	PERSON
ejpam-2231	314	4	s. acknowledgements	ORG
ejpam-2231	314	5	first	ORDINAL
ejpam-2231	314	6	11371335	DATE
ejpam-2231	314	7	china	GPE
ejpam-2231	315	1	second	ORDINAL
ejpam-2231	316	1	1	CARDINAL
ejpam-2231	316	2	m. akram	PERSON
ejpam-2231	316	3	n. yaqoob	PERSON
ejpam-2231	316	4	m. khan	PERSON
ejpam-2231	317	1	7(44	CARDINAL
ejpam-2231	317	2	2187-2191	CARDINAL
ejpam-2231	318	1	2013	DATE
ejpam-2231	319	1	2	CARDINAL
ejpam-2231	319	2	m. gulistan	PERSON
ejpam-2231	319	3	n. yaqoob	PERSON
ejpam-2231	319	4	m. shahzad	PERSON
ejpam-2231	320	1	upb scientific bulletin, series a,	ORG
ejpam-2231	320	2	77(3	CARDINAL
ejpam-2231	320	3	93	CARDINAL
ejpam-2231	320	4	2015	CARDINAL
ejpam-2231	321	1	3	CARDINAL
ejpam-2231	321	2	m. a. kazim	PERSON
ejpam-2231	321	3	m. naseeruddin	PERSON
ejpam-2231	322	1	the aligarh bulletin	ORG
ejpam-2231	322	2	mathematics	LAW
ejpam-2231	322	3	2	CARDINAL
ejpam-2231	322	4	1	CARDINAL
ejpam-2231	322	5	1972	DATE
ejpam-2231	323	1	4	CARDINAL
ejpam-2231	323	2	m. khan	PERSON
ejpam-2231	323	3	n. ahmad	PERSON
ejpam-2231	324	1	2	CARDINAL
ejpam-2231	324	2	61-63	DATE
ejpam-2231	324	3	2010	DATE
ejpam-2231	325	1	5	CARDINAL
ejpam-2231	325	2	m. khan	PERSON
ejpam-2231	325	3	f. yousafzai	PERSON
ejpam-2231	325	4	v. amjad.	PERSON
ejpam-2231	326	1	abel-grassmann	PERSON
ejpam-2231	326	2	3	CARDINAL
ejpam-2231	326	3	109	CARDINAL
ejpam-2231	326	4	2011	DATE
ejpam-2231	327	1	6	CARDINAL
ejpam-2231	327	2	s. lajos	PERSON
ejpam-2231	328	1	mathematicarum	GPE
ejpam-2231	328	2	22:217222. 1961	DATE
ejpam-2231	329	1	7	CARDINAL
ejpam-2231	329	2	q. mushtaq	PERSON
ejpam-2231	329	3	s. m. yousuf	PERSON
ejpam-2231	330	1	the aligarh bulletin	ORG
ejpam-2231	330	2	8	CARDINAL
ejpam-2231	330	3	65	CARDINAL
ejpam-2231	330	4	1978	DATE
ejpam-2231	331	1	8	CARDINAL
ejpam-2231	331	2	q. mushtaq	PERSON
ejpam-2231	331	3	s. m. yusuf	PERSON
ejpam-2231	332	1	19:57	CARDINAL
ejpam-2231	333	1	291	CARDINAL
ejpam-2231	333	2	9	CARDINAL
ejpam-2231	333	3	q. mushtaq	PERSON
ejpam-2231	333	4	s. m. yusuf	PERSON
ejpam-2231	334	1	mathematicki vensik	PERSON
ejpam-2231	334	2	40	DATE
ejpam-2231	334	3	59-62	DATE
ejpam-2231	334	4	1988	DATE
ejpam-2231	335	1	10	CARDINAL
ejpam-2231	335	2	q. mushtaq	PERSON
ejpam-2231	335	3	m. s. kamran	PERSON
ejpam-2231	336	1	khyber	PRODUCT
ejpam-2231	336	2	1	CARDINAL
ejpam-2231	336	3	69	CARDINAL
ejpam-2231	336	4	1989	DATE
ejpam-2231	337	1	11	CARDINAL
ejpam-2231	337	2	q. mushtaq	PERSON
ejpam-2231	337	3	m. khan	PERSON
ejpam-2231	338	1	4th	ORDINAL
ejpam-2231	338	2	65	CARDINAL
ejpam-2231	338	3	2003	DATE
ejpam-2231	339	1	12	CARDINAL
ejpam-2231	339	2	abel-grassmann	PERSON
ejpam-2231	339	3	3	CARDINAL
ejpam-2231	339	4	novi sad journal of mathematics	ORG
ejpam-2231	339	5	2(34	CARDINAL
ejpam-2231	339	6	175	CARDINAL
ejpam-2231	339	7	2004	DATE
ejpam-2231	340	1	13	CARDINAL
ejpam-2231	340	2	n. yaqoob	PERSON
ejpam-2231	340	3	f. yousafzai	PERSON
ejpam-2231	341	1	article id 510790:10, 2013	LAW
ejpam-2231	342	1	14	CARDINAL
ejpam-2231	342	2	m. gulistan	PERSON
ejpam-2231	343	1	egyptian	NORP
ejpam-2231	343	2	23	CARDINAL
ejpam-2231	343	3	231	CARDINAL
ejpam-2231	343	4	2015	CARDINAL
ejpam-2231	344	1	15	CARDINAL
ejpam-2231	345	1	thai journal of mathematics	ORG
ejpam-2231	345	2	11(3	CARDINAL
ejpam-2231	345	3	683-695	CARDINAL
ejpam-2231	345	4	2013	DATE
ejpam-2231	346	1	16	CARDINAL
ejpam-2231	346	2	f. yousafzai	PERSON
ejpam-2231	346	3	n. yaqoob	PERSON
ejpam-2231	346	4	a. ghareeb	PERSON
ejpam-2231	346	5	24(4	CARDINAL
ejpam-2231	346	6	577-587	CARDINAL
ejpam-2231	347	1	2013	DATE
ejpam-2231	348	1	17	CARDINAL
ejpam-2231	348	2	f. yousafzai	PERSON
ejpam-2231	348	3	a. khan	PERSON
ejpam-2231	349	1	25	DATE
ejpam-2231	349	2	449	CARDINAL
ejpam-2231	349	3	2014	DATE