id	sid	eid	entity	type
ejpam-2095	1	1	main.dvi european journal	ORG
ejpam-2095	2	1	7	CARDINAL
ejpam-2095	2	2	2, 2014	DATE
ejpam-2095	2	3	201	CARDINAL
ejpam-2095	2	4	1307-5543	CARDINAL
ejpam-2095	3	1	1	CARDINAL
ejpam-2095	3	2	1	CARDINAL
ejpam-2095	3	3	shivaji university	ORG
ejpam-2095	3	4	kolhapur	GPE
ejpam-2095	3	5	maharashtra	GPE
ejpam-2095	3	6	india 2	ORG
ejpam-2095	3	7	general engineering department	ORG
ejpam-2095	3	8	sharad institute of technology college	ORG
ejpam-2095	3	9	shivaji university	ORG
ejpam-2095	3	10	kolhapur	GPE
ejpam-2095	3	11	india	GPE
ejpam-2095	5	1	multiplicative	NORP
ejpam-2095	6	1	2010	DATE
ejpam-2095	6	2	13a99	CARDINAL
ejpam-2095	6	3	1	CARDINAL
ejpam-2095	7	1	multiplicative	NORP
ejpam-2095	7	2	1	CARDINAL
ejpam-2095	7	3	multiplicative	NORP
ejpam-2095	9	1	ab ≤ p	ORG
ejpam-2095	10	1	cb ≤ a.	ORG
ejpam-2095	10	2	ab ≤ p	ORG
ejpam-2095	12	1	n ∈ z+	ORG
ejpam-2095	14	1	α1 ∨	CARDINAL
ejpam-2095	15	1	α1,α2	DATE
ejpam-2095	18	1	multiplicative	NORP
ejpam-2095	21	1	pq	PERSON
ejpam-2095	22	1	2	CARDINAL
ejpam-2095	23	1	ab ¶ q	ORG
ejpam-2095	24	1	q1,q2	PERSON
ejpam-2095	25	1	∧ q2 ∧	PRODUCT
ejpam-2095	28	1	yahoo	ORG
ejpam-2095	29	1	o.in	PERSON
ejpam-2095	29	2	c. manjarekar	PERSON
ejpam-2095	31	1	201	CARDINAL
ejpam-2095	31	2	2014	DATE
ejpam-2095	32	1	c. manjarekar	PERSON
ejpam-2095	33	1	j. pure	PERSON
ejpam-2095	33	2	7 (2014	DATE
ejpam-2095	33	3	201	CARDINAL
ejpam-2095	38	1	q1,q2	PERSON
ejpam-2095	42	1	∈	ORG
ejpam-2095	43	1	multiplicative	NORP
ejpam-2095	44	1	∈	ORG
ejpam-2095	44	2	∈	ORG
ejpam-2095	45	1	∈ l, a∈ m ii	ORG
ejpam-2095	48	1	∈	ORG
ejpam-2095	49	1	0b	CARDINAL
ejpam-2095	49	2	0	CARDINAL
ejpam-2095	49	3	∈	ORG
ejpam-2095	49	4	0	CARDINAL
ejpam-2095	57	1	∈	ORG
ejpam-2095	61	1	∈	ORG
ejpam-2095	61	2	4	CARDINAL
ejpam-2095	62	1	∈	ORG
ejpam-2095	65	1	noether lattice	PERSON
ejpam-2095	67	1	q1,q2	PERSON
ejpam-2095	76	1	2	CARDINAL
ejpam-2095	78	1	c. manjarekar	PERSON
ejpam-2095	79	1	j. pure	PERSON
ejpam-2095	79	2	7 (2014	DATE
ejpam-2095	79	3	201	CARDINAL
ejpam-2095	79	4	203	CARDINAL
ejpam-2095	79	5	1	CARDINAL
ejpam-2095	81	1	ab ¶ p	ORG
ejpam-2095	82	1	integer n.	PERSON
ejpam-2095	82	2	integer m.	PERSON
ejpam-2095	83	1	integer k.	PERSON
ejpam-2095	88	1	2	CARDINAL
ejpam-2095	89	1	q1,q2	PERSON
ejpam-2095	91	1	qk	ORG
ejpam-2095	96	1	1,2	CARDINAL
ejpam-2095	97	1	k.	PERSON
ejpam-2095	103	1	qk	ORG
ejpam-2095	105	1	∧q	ORG
ejpam-2095	105	2	1,2	CARDINAL
ejpam-2095	107	1	∈	ORG
ejpam-2095	107	2	1 ¶	CARDINAL
ejpam-2095	114	1	6	CARDINAL
ejpam-2095	114	2	multiplicative	NORP
ejpam-2095	115	1	3	CARDINAL
ejpam-2095	116	1	multiplicative	NORP
ejpam-2095	120	1	two	CARDINAL
ejpam-2095	120	2	a1 = n	PERSON
ejpam-2095	121	1	4	CARDINAL
ejpam-2095	124	1	m. proof	PERSON
ejpam-2095	128	1	satifies acc	PERSON
ejpam-2095	138	1	k ′ n	PERSON
ejpam-2095	142	1	1 ∧k ′	TIME
ejpam-2095	142	2	2	CARDINAL
ejpam-2095	145	1	∧k2	CARDINAL
ejpam-2095	146	1	.∧	DATE
ejpam-2095	147	1	∧k	ORG
ejpam-2095	148	1	2	CARDINAL
ejpam-2095	153	1	c. manjarekar	PERSON
ejpam-2095	154	1	j. pure	PERSON
ejpam-2095	154	2	7 (2014	DATE
ejpam-2095	154	3	201	CARDINAL
ejpam-2095	154	4	j mc carthy	PERSON
ejpam-2095	154	5	larsen	PERSON
ejpam-2095	155	1	5	CARDINAL
ejpam-2095	157	1	5	CARDINAL
ejpam-2095	158	1	m. if n	PERSON
ejpam-2095	161	1	first	ORDINAL
ejpam-2095	162	1	ab ¶	ORG
ejpam-2095	163	1	ab ¶	ORG
ejpam-2095	164	1	bnn ¶ q.	PERSON
ejpam-2095	165	1	a∈	GPE
ejpam-2095	166	1	ann ¶ q.	PERSON
ejpam-2095	166	2	ana ¶ q.	PERSON
ejpam-2095	172	1	ann ¶	PERSON
ejpam-2095	175	1	6	CARDINAL
ejpam-2095	176	1	m.	PERSON
ejpam-2095	182	1	a ¶ 1	DATE
ejpam-2095	186	1	7	CARDINAL
ejpam-2095	197	1	1,2	CARDINAL
ejpam-2095	199	1	k.	PERSON
ejpam-2095	203	1	1,2	CARDINAL
ejpam-2095	205	1	k.	PERSON
ejpam-2095	213	1	.∧	DATE
ejpam-2095	214	1	qk	ORG
ejpam-2095	215	1	2,3	CARDINAL
ejpam-2095	217	1	1	CARDINAL
ejpam-2095	219	1	2	CARDINAL
ejpam-2095	221	1	k.	PERSON
ejpam-2095	221	2	2,3	CARDINAL
ejpam-2095	222	1	k.	PERSON
ejpam-2095	223	1	c. manjarekar	PERSON
ejpam-2095	224	1	j. pure	PERSON
ejpam-2095	224	2	7 (2014	DATE
ejpam-2095	224	3	201	CARDINAL
ejpam-2095	224	4	2,3	CARDINAL
ejpam-2095	227	1	1	CARDINAL
ejpam-2095	227	2	1	CARDINAL
ejpam-2095	227	3	2,3	CARDINAL
ejpam-2095	228	1	k. hence	PERSON
ejpam-2095	229	1	1∧	CARDINAL
ejpam-2095	232	1	∈	ORG
ejpam-2095	234	1	i.	PERSON
ejpam-2095	240	1	1	CARDINAL
ejpam-2095	240	2	at least one	CARDINAL
ejpam-2095	240	3	i.	PERSON
ejpam-2095	241	1	at least one	CARDINAL
ejpam-2095	242	1	¶ k	PERSON
ejpam-2095	247	1	6=	CARDINAL
ejpam-2095	248	1	6=	CARDINAL
ejpam-2095	248	2	∈	ORG
ejpam-2095	248	3	1	CARDINAL
ejpam-2095	248	4	6=	CARDINAL
ejpam-2095	248	5	r.	NORP
ejpam-2095	250	1	¶ 1	DATE
ejpam-2095	250	2	r.	NORP
ejpam-2095	250	3	1	CARDINAL
ejpam-2095	250	4	r.	NORP
ejpam-2095	262	1	1	CARDINAL
ejpam-2095	262	2	at least one	CARDINAL
ejpam-2095	265	1	.∧	DATE
ejpam-2095	266	1	qk	ORG
ejpam-2095	270	1	∧ p2 ∧	PRODUCT
ejpam-2095	272	1	i.	PERSON
ejpam-2095	272	2	1,2	CARDINAL
ejpam-2095	274	1	l.	PERSON
ejpam-2095	274	2	6=	CARDINAL
ejpam-2095	274	3	1,2	CARDINAL
ejpam-2095	278	1	1,2	CARDINAL
ejpam-2095	283	1	at least one	CARDINAL
ejpam-2095	284	1	at least one	CARDINAL
ejpam-2095	284	2	i.	PERSON
ejpam-2095	285	1	8	CARDINAL
ejpam-2095	290	1	∧ sn	PERSON
ejpam-2095	290	2	two	CARDINAL
ejpam-2095	292	1	1,2	CARDINAL
ejpam-2095	294	1	zero	CARDINAL
ejpam-2095	294	2	zero	CARDINAL
ejpam-2095	295	1	9	CARDINAL
ejpam-2095	298	1	0	CARDINAL
ejpam-2095	299	1	0	CARDINAL
ejpam-2095	300	1	zero	CARDINAL
ejpam-2095	300	2	p1 ∨	ORG
ejpam-2095	302	1	c. manjarekar	PERSON
ejpam-2095	303	1	j. pure	PERSON
ejpam-2095	303	2	7 (2014	DATE
ejpam-2095	303	3	201	CARDINAL
ejpam-2095	304	1	∧ q2 ∧	PRODUCT
ejpam-2095	305	1	∧ qk	PERSON
ejpam-2095	305	2	0	CARDINAL
ejpam-2095	306	1	1,2	CARDINAL
ejpam-2095	307	1	k.	PERSON
ejpam-2095	307	2	zero	CARDINAL
ejpam-2095	308	1	0	CARDINAL
ejpam-2095	309	1	∨ pk	PERSON
ejpam-2095	309	2	zero	CARDINAL
ejpam-2095	309	3	0	CARDINAL
ejpam-2095	310	1	6=	CARDINAL
ejpam-2095	310	2	0	CARDINAL
ejpam-2095	310	3	ab	ORG
ejpam-2095	311	1	0	CARDINAL
ejpam-2095	312	1	ab ¶ qi	PERSON
ejpam-2095	312	2	at least one	CARDINAL
ejpam-2095	312	3	i.	PERSON
ejpam-2095	313	1	0	CARDINAL
ejpam-2095	313	2	0	CARDINAL
ejpam-2095	315	1	ab ¶ q j	ORG
ejpam-2095	318	1	10	CARDINAL
ejpam-2095	337	1	i.	PERSON
ejpam-2095	354	1	i.	PERSON
ejpam-2095	359	1	11	CARDINAL
ejpam-2095	365	1	i.	PERSON
ejpam-2095	366	1	i.	PERSON
ejpam-2095	373	1	i.	PERSON
ejpam-2095	377	1	i.	PERSON
ejpam-2095	380	1	12	CARDINAL
ejpam-2095	385	1	q1,q2	PERSON
ejpam-2095	390	1	c. manjarekar	PERSON
ejpam-2095	391	1	j. pure	PERSON
ejpam-2095	391	2	7 (2014	DATE
ejpam-2095	391	3	201	CARDINAL
ejpam-2095	397	1	∈	ORG
ejpam-2095	399	1	∈	ORG
ejpam-2095	406	1	first	ORDINAL
ejpam-2095	407	1	6=	CARDINAL
ejpam-2095	407	2	j.	PERSON
ejpam-2095	407	3	j ¶ p j	PERSON
ejpam-2095	411	1	j ∈ l	PERSON
ejpam-2095	412	1	j j	PERSON
ejpam-2095	413	1	j j	PERSON
ejpam-2095	419	1	j k	PERSON
ejpam-2095	419	2	∨	CARDINAL
ejpam-2095	423	1	j k	PERSON
ejpam-2095	425	1	¶ m∧	TIME
ejpam-2095	429	1	∈	ORG
ejpam-2095	429	2	6=	CARDINAL
ejpam-2095	438	1	∈	ORG
ejpam-2095	439	1	13	CARDINAL
ejpam-2095	447	1	∧ p2 ∧	PRODUCT
ejpam-2095	451	1	1	CARDINAL
ejpam-2095	452	1	14	DATE
ejpam-2095	453	1	multiplicative	NORP
ejpam-2095	454	1	∈	ORG
ejpam-2095	454	2	0	CARDINAL
ejpam-2095	456	1	0	CARDINAL
ejpam-2095	459	1	0	CARDINAL
ejpam-2095	462	1	1,2	CARDINAL
ejpam-2095	463	1	n.	PERSON
ejpam-2095	465	1	∈	ORG
ejpam-2095	466	1	c. manjarekar	PERSON
ejpam-2095	467	1	j. pure	PERSON
ejpam-2095	467	2	7 (2014	DATE
ejpam-2095	467	3	201	CARDINAL
ejpam-2095	469	1	p1∧	NORP
ejpam-2095	471	1	0	CARDINAL
ejpam-2095	472	1	0	CARDINAL
ejpam-2095	474	1	15	CARDINAL
ejpam-2095	475	1	a∈	GPE
ejpam-2095	478	1	∧ q2 ∧	PRODUCT
ejpam-2095	479	1	a.	PERSON
ejpam-2095	486	1	multiplicative	NORP
ejpam-2095	488	1	16	CARDINAL
ejpam-2095	491	1	a. proof	PERSON
ejpam-2095	494	1	1,2	CARDINAL
ejpam-2095	496	1	m. this	PERSON
ejpam-2095	498	1	3	CARDINAL
ejpam-2095	498	2	i.	PERSON
ejpam-2095	500	1	¶ m∧	TIME
ejpam-2095	505	1	3	CARDINAL
ejpam-2095	510	1	j : bs	WORK_OF_ART
ejpam-2095	510	2	j ≥ a.	PERSON
ejpam-2095	514	1	17	CARDINAL
ejpam-2095	516	1	∧ q2 ∧	PRODUCT
ejpam-2095	517	1	∧ qm	PERSON
ejpam-2095	521	1	6=	CARDINAL
ejpam-2095	522	1	18	CARDINAL
ejpam-2095	523	1	209	CARDINAL
ejpam-2095	523	2	zero	CARDINAL
ejpam-2095	524	1	6=	DATE
ejpam-2095	525	1	6=	DATE
ejpam-2095	526	1	19	CARDINAL
ejpam-2095	528	1	∈	ORG
ejpam-2095	528	2	∈	ORG
ejpam-2095	528	3	6=	DATE
ejpam-2095	528	4	0	CARDINAL
ejpam-2095	530	1	zero	CARDINAL
ejpam-2095	531	1	0	CARDINAL
ejpam-2095	531	2	6=	DATE
ejpam-2095	532	1	0	CARDINAL
ejpam-2095	533	1	∈	PRODUCT
ejpam-2095	533	2	0	CARDINAL
ejpam-2095	533	3	6=	DATE
ejpam-2095	534	1	6=	DATE
ejpam-2095	534	2	0	CARDINAL
ejpam-2095	534	3	16	CARDINAL
ejpam-2095	535	1	european journal	ORG
ejpam-2095	536	1	anderson	PERSON
ejpam-2095	538	1	ph.d	ORG
ejpam-2095	539	1	chicago university	ORG
ejpam-2095	539	2	1974	DATE
ejpam-2095	540	1	2	CARDINAL
ejpam-2095	540	2	dilworth	GPE
ejpam-2095	541	1	pacific journal	ORG
ejpam-2095	541	2	12	CARDINAL
ejpam-2095	541	3	481	CARDINAL
ejpam-2095	542	1	1962	DATE
ejpam-2095	543	1	3	CARDINAL
ejpam-2095	543	2	johnson	PERSON
ejpam-2095	544	1	noetherian lattice modules	ORG
ejpam-2095	544	2	fundamenta mathematicae	ORG
ejpam-2095	544	3	66	CARDINAL
ejpam-2095	544	4	341	CARDINAL
ejpam-2095	544	5	1970	DATE
ejpam-2095	545	1	4	CARDINAL
ejpam-2095	545	2	f. callialp	PERSON
ejpam-2095	546	1	iranian	NORP
ejpam-2095	546	2	309	CARDINAL
ejpam-2095	546	3	2011	DATE
ejpam-2095	547	1	5	CARDINAL
ejpam-2095	547	2	m.d. larsen	PERSON
ejpam-2095	547	3	mccarthy	PERSON
ejpam-2095	548	1	multiplicative	ORG
ejpam-2095	548	2	new york	GPE
ejpam-2095	548	3	1970	DATE
ejpam-2095	549	1	6	CARDINAL
ejpam-2095	549	2	c.s. manjarekar	PERSON
ejpam-2095	550	1	studia scientifica	PERSON
ejpam-2095	550	2	hungarica 18	FAC
ejpam-2095	550	3	13-19	DATE
ejpam-2095	550	4	1983	DATE