id	sid	eid	entity	type
ejpam-2634	1	1	output.dvi european journal	ORG
ejpam-2634	2	1	9	CARDINAL
ejpam-2634	2	2	3	CARDINAL
ejpam-2634	2	3	2016	DATE
ejpam-2634	2	4	244	CARDINAL
ejpam-2634	2	5	jafar a’zami	ORG
ejpam-2634	2	6	m. khajepour∗	PERSON
ejpam-2634	2	7	ardabili	PERSON
ejpam-2634	2	8	ardabil	ORG
ejpam-2634	2	9	iran	GPE
ejpam-2634	7	1	2010	DATE
ejpam-2634	7	2	13c13	CARDINAL
ejpam-2634	7	3	1	CARDINAL
ejpam-2634	12	1	4	CARDINAL
ejpam-2634	13	1	6	CARDINAL
ejpam-2634	17	1	⊕	PERSON
ejpam-2634	18	1	n = ⊕	PERSON
ejpam-2634	19	1	2	CARDINAL
ejpam-2634	20	1	1	CARDINAL
ejpam-2634	21	1	j. a’zami	GPE
ejpam-2634	21	2	m. khajepour	PERSON
ejpam-2634	22	1	244	CARDINAL
ejpam-2634	23	1	2016	CARDINAL
ejpam-2634	24	1	j. a’zami	PERSON
ejpam-2634	24	2	m. khajepour	PERSON
ejpam-2634	25	1	j. pure	PERSON
ejpam-2634	25	2	9 (	PERCENT
ejpam-2634	25	3	2016	DATE
ejpam-2634	25	4	244-249 245	MONEY
ejpam-2634	25	5	1	CARDINAL
ejpam-2634	28	1	n ⋂ k 6= 0	ORG
ejpam-2634	31	1	2	CARDINAL
ejpam-2634	32	1	3	CARDINAL
ejpam-2634	33	1	4	CARDINAL
ejpam-2634	33	2	r.	NORP
ejpam-2634	33	3	second	ORDINAL
ejpam-2634	33	4	∈	ORG
ejpam-2634	37	1	5	CARDINAL
ejpam-2634	38	1	6	CARDINAL
ejpam-2634	39	1	7	CARDINAL
ejpam-2634	43	1	1	CARDINAL
ejpam-2634	45	1	1	CARDINAL
ejpam-2634	45	2	2	CARDINAL
ejpam-2634	46	1	2	CARDINAL
ejpam-2634	46	2	4	CARDINAL
ejpam-2634	48	1	3	CARDINAL
ejpam-2634	48	2	3	CARDINAL
ejpam-2634	50	1	1	CARDINAL
ejpam-2634	50	2	5	CARDINAL
ejpam-2634	51	1	m. 3	PERSON
ejpam-2634	51	2	2	CARDINAL
ejpam-2634	52	1	1	CARDINAL
ejpam-2634	52	2	2	CARDINAL
ejpam-2634	52	3	3	CARDINAL
ejpam-2634	54	1	1→2	CARDINAL
ejpam-2634	56	1	annannip =	PERSON
ejpam-2634	57	1	2→3	CARDINAL
ejpam-2634	58	1	r.	NORP
ejpam-2634	60	1	j. a’zami	PERSON
ejpam-2634	60	2	m. khajepour	PERSON
ejpam-2634	61	1	j. pure	PERSON
ejpam-2634	61	2	9 (	PERCENT
ejpam-2634	61	3	2016	DATE
ejpam-2634	61	4	244	CARDINAL
ejpam-2634	61	5	4	CARDINAL
ejpam-2634	62	1	1	CARDINAL
ejpam-2634	62	2	second	ORDINAL
ejpam-2634	62	3	2	CARDINAL
ejpam-2634	62	4	second	ORDINAL
ejpam-2634	62	5	r.	NORP
ejpam-2634	62	6	3	CARDINAL
ejpam-2634	62	7	4	CARDINAL
ejpam-2634	62	8	m. proof	PERSON
ejpam-2634	63	1	1	CARDINAL
ejpam-2634	63	2	∈	ORG
ejpam-2634	63	3	∈	ORG
ejpam-2634	64	1	∈	ORG
ejpam-2634	65	1	6∈	CARDINAL
ejpam-2634	71	1	rm ∈	PERSON
ejpam-2634	72	1	∈	ORG
ejpam-2634	74	1	2	CARDINAL
ejpam-2634	74	2	second	ORDINAL
ejpam-2634	77	1	two	CARDINAL
ejpam-2634	78	1	6∈	CARDINAL
ejpam-2634	79	1	6∈	CARDINAL
ejpam-2634	82	1	6∈	CARDINAL
ejpam-2634	83	1	n ∈ n	ORG
ejpam-2634	83	2	ynn = n	PERSON
ejpam-2634	84	1	ynn = n	PERSON
ejpam-2634	85	1	3	CARDINAL
ejpam-2634	89	1	annn ⋂	PERSON
ejpam-2634	90	1	annn ⋂	ORG
ejpam-2634	90	2	annk ⊆	ORG
ejpam-2634	90	3	0	CARDINAL
ejpam-2634	90	4	0	CARDINAL
ejpam-2634	93	1	4	CARDINAL
ejpam-2634	97	1	annk	PERSON
ejpam-2634	98	1	5	CARDINAL
ejpam-2634	106	1	j. a’zami	PERSON
ejpam-2634	106	2	m. khajepour	PERSON
ejpam-2634	107	1	j. pure	PERSON
ejpam-2634	107	2	9 (	PERCENT
ejpam-2634	107	3	2016	DATE
ejpam-2634	107	4	244	CARDINAL
ejpam-2634	109	1	⊆	CARDINAL
ejpam-2634	109	2	0	CARDINAL
ejpam-2634	114	1	0	CARDINAL
ejpam-2634	115	1	0	CARDINAL
ejpam-2634	115	2	6	CARDINAL
ejpam-2634	116	1	1	CARDINAL
ejpam-2634	116	2	2	CARDINAL
ejpam-2634	116	3	3	CARDINAL
ejpam-2634	116	4	4	CARDINAL
ejpam-2634	118	1	1→ 2	DATE
ejpam-2634	118	2	r(r	PERSON
ejpam-2634	119	1	1	CARDINAL
ejpam-2634	119	2	r(r	PERSON
ejpam-2634	119	3	6= 1	DATE
ejpam-2634	119	4	r(r	PERSON
ejpam-2634	119	5	0	CARDINAL
ejpam-2634	119	6	r(r	PERSON
ejpam-2634	120	1	1	CARDINAL
ejpam-2634	121	1	r(r	PERSON
ejpam-2634	122	1	0	CARDINAL
ejpam-2634	122	2	r(r	GPE
ejpam-2634	125	1	0	CARDINAL
ejpam-2634	126	1	1	CARDINAL
ejpam-2634	126	2	two	CARDINAL
ejpam-2634	126	3	0	CARDINAL
ejpam-2634	128	1	0	CARDINAL
ejpam-2634	128	2	r anni	PERSON
ejpam-2634	128	3	⊕	PERSON
ejpam-2634	128	4	0	CARDINAL
ejpam-2634	129	1	0	CARDINAL
ejpam-2634	129	2	anni	PERSON
ejpam-2634	130	1	0	CARDINAL
ejpam-2634	130	2	anni	PERSON
ejpam-2634	130	3	6=	DATE
ejpam-2634	130	4	0	CARDINAL
ejpam-2634	131	1	j = annanni ⋂	PERSON
ejpam-2634	131	2	= ann(anni +	PERSON
ejpam-2634	131	3	6=	CARDINAL
ejpam-2634	131	4	0	CARDINAL
ejpam-2634	132	1	2→3	CARDINAL
ejpam-2634	132	2	6	CARDINAL
ejpam-2634	134	1	two	CARDINAL
ejpam-2634	136	1	0	CARDINAL
ejpam-2634	137	1	≈	CARDINAL
ejpam-2634	137	2	r(r	PERSON
ejpam-2634	138	1	1	CARDINAL
ejpam-2634	140	1	0	CARDINAL
ejpam-2634	141	1	6	CARDINAL
ejpam-2634	143	1	≈ r.	PERSON
ejpam-2634	143	2	3	CARDINAL
ejpam-2634	152	1	j. a’zami	PERSON
ejpam-2634	152	2	m. khajepour	PERSON
ejpam-2634	153	1	j. pure	PERSON
ejpam-2634	153	2	9 (	PERCENT
ejpam-2634	153	3	2016	DATE
ejpam-2634	153	4	244	CARDINAL
ejpam-2634	153	5	0	CARDINAL
ejpam-2634	153	6	6=	DATE
ejpam-2634	154	1	0	CARDINAL
ejpam-2634	154	2	⊆	CARDINAL
ejpam-2634	154	3	m. therefore 0=	PERSON
ejpam-2634	156	1	1	CARDINAL
ejpam-2634	158	1	⊆	CARDINAL
ejpam-2634	158	2	0	CARDINAL
ejpam-2634	158	3	2	CARDINAL
ejpam-2634	159	1	3	CARDINAL
ejpam-2634	161	1	0	CARDINAL
ejpam-2634	161	2	mn)≃ mn/mn+1	ORG
ejpam-2634	161	3	0	CARDINAL
ejpam-2634	164	1	≈	CARDINAL
ejpam-2634	165	1	1	CARDINAL
ejpam-2634	165	2	0→	CARDINAL
ejpam-2634	165	3	0	CARDINAL
ejpam-2634	167	1	0→	CARDINAL
ejpam-2634	167	2	r(r	PERSON
ejpam-2634	167	3	1	CARDINAL
ejpam-2634	167	4	mn/mn+1	ORG
ejpam-2634	169	1	4	CARDINAL
ejpam-2634	170	1	two	CARDINAL
ejpam-2634	173	1	m1→ m2	PERSON
ejpam-2634	174	1	2	CARDINAL
ejpam-2634	175	1	⊆ m2	QUANTITY
ejpam-2634	175	2	⊆	CARDINAL
ejpam-2634	176	1	0	CARDINAL
ejpam-2634	176	2	8	CARDINAL
ejpam-2634	178	1	submodules mi	PERSON
ejpam-2634	179	1	⊕	PERSON
ejpam-2634	180	1	249	CARDINAL
ejpam-2634	181	1	4	CARDINAL
ejpam-2634	182	1	m(p	PERSON
ejpam-2634	183	1	∈	ORG
ejpam-2634	185	1	⊕	PERSON
ejpam-2634	185	2	m(pi	ORG
ejpam-2634	186	1	m(pi	ORG
ejpam-2634	188	1	8	CARDINAL
ejpam-2634	189	1	e(rpi	PERSON
ejpam-2634	190	1	9	CARDINAL
ejpam-2634	191	1	⊆	CARDINAL
ejpam-2634	195	1	0	CARDINAL
ejpam-2634	198	1	3	CARDINAL
ejpam-2634	198	2	1	CARDINAL
ejpam-2634	198	3	y al-shaniafi	PERSON
ejpam-2634	200	1	3:1–29, 2011	DATE
ejpam-2634	201	1	2	CARDINAL
ejpam-2634	203	1	taiwanese	NORP
ejpam-2634	203	2	11:1189–1201, 2007	DATE
ejpam-2634	204	1	3	CARDINAL
ejpam-2634	206	1	honam mathematical journal	ORG
ejpam-2634	206	2	30:91–99,	DATE
ejpam-2634	206	3	2008	DATE
ejpam-2634	207	1	4	CARDINAL
ejpam-2634	209	1	korean	NORP
ejpam-2634	209	2	ann	PERSON
ejpam-2634	209	3	25:57–66, 2008	DATE
ejpam-2634	210	1	5	CARDINAL
ejpam-2634	211	1	novi	ORG
ejpam-2634	211	2	41:117–122	CARDINAL
ejpam-2634	211	3	2011	DATE
ejpam-2634	212	1	6	CARDINAL
ejpam-2634	214	1	cambridge university press	ORG
ejpam-2634	214	2	cambridge	GPE
ejpam-2634	214	3	1998	DATE