id	sid	eid	entity	type
ejpam-2102	1	1	output.dvi european journal	ORG
ejpam-2102	1	2	8	CARDINAL
ejpam-2102	1	3	1	CARDINAL
ejpam-2102	1	4	2015	DATE
ejpam-2102	1	5	111	CARDINAL
ejpam-2102	1	6	noetherian	NORP
ejpam-2102	1	7	ring v. k. bhat∗and kiran	PERSON
ejpam-2102	1	8	smvd university	ORG
ejpam-2102	1	9	smvd university	ORG
ejpam-2102	1	10	katra	GPE
ejpam-2102	1	11	j and k	WORK_OF_ART
ejpam-2102	1	12	india182320	PERSON
ejpam-2102	3	1	one	CARDINAL
ejpam-2102	5	1	1 ≤	QUANTITY
ejpam-2102	10	1	noetherian	NORP
ejpam-2102	11	1	r.	NORP
ejpam-2102	12	1	2010	DATE
ejpam-2102	12	2	16-xx	QUANTITY
ejpam-2102	12	3	16n40	DATE
ejpam-2102	12	4	16p40	DATE
ejpam-2102	12	5	16s36	CARDINAL
ejpam-2102	13	1	1	CARDINAL
ejpam-2102	13	2	1 6=	CARDINAL
ejpam-2102	13	3	0	CARDINAL
ejpam-2102	15	1	p(r	PERSON
ejpam-2102	18	1	+ aδ(b	PERSON
ejpam-2102	20	1	φ	PERSON
ejpam-2102	20	2	r→ m2(r	PERSON
ejpam-2102	20	3	φ(r	PERSON
ejpam-2102	21	1	∈	ORG
ejpam-2102	21	2	φ	ORG
ejpam-2102	21	3	r. ∗corresponding	PERSON
ejpam-2102	23	1	111	CARDINAL
ejpam-2102	23	2	2015	CARDINAL
ejpam-2102	24	1	k. chib	PERSON
ejpam-2102	25	1	j. pure	PERSON
ejpam-2102	25	2	8 (	PERCENT
ejpam-2102	25	3	111	CARDINAL
ejpam-2102	27	1	∈	ORG
ejpam-2102	27	2	r.	NORP
ejpam-2102	28	1	∑n i=0 x iai	PERSON
ejpam-2102	28	2	mcconnell	PERSON
ejpam-2102	28	3	robson	PERSON
ejpam-2102	28	4	15	CARDINAL
ejpam-2102	30	1	δ(i	PERSON
ejpam-2102	30	2	⊆	CARDINAL
ejpam-2102	30	3	i[x;σ	ORG
ejpam-2102	30	4	o(i	GPE
ejpam-2102	31	1	σ	ORG
ejpam-2102	32	1	j	PERSON
ejpam-2102	32	2	⊆	CARDINAL
ejpam-2102	32	3	d(j	ORG
ejpam-2102	33	1	zero	CARDINAL
ejpam-2102	33	2	s(r	GPE
ejpam-2102	34	1	= k	PERSON
ejpam-2102	34	2	s(r	GPE
ejpam-2102	36	1	2–4	CARDINAL
ejpam-2102	36	2	6	DATE
ejpam-2102	36	3	8	DATE
ejpam-2102	36	4	11	DATE
ejpam-2102	36	5	12	DATE
ejpam-2102	36	6	14	DATE
ejpam-2102	36	7	15	CARDINAL
ejpam-2102	37	1	chapter 9	LAW
ejpam-2102	37	2	warfield	PERSON
ejpam-2102	38	1	12	CARDINAL
ejpam-2102	39	1	blair	PERSON
ejpam-2102	40	1	11	CARDINAL
ejpam-2102	40	2	zero	CARDINAL
ejpam-2102	41	1	blair	PERSON
ejpam-2102	42	1	11	CARDINAL
ejpam-2102	42	2	noetherian	NORP
ejpam-2102	42	3	σ	ORG
ejpam-2102	43	1	15	CARDINAL
ejpam-2102	44	1	2.11	CARDINAL
ejpam-2102	44	2	4	CARDINAL
ejpam-2102	48	1	1	CARDINAL
ejpam-2102	49	1	two	CARDINAL
ejpam-2102	52	1	1	CARDINAL
ejpam-2102	54	1	1 ≤	QUANTITY
ejpam-2102	60	1	2	CARDINAL
ejpam-2102	61	1	1.2	CARDINAL
ejpam-2102	61	2	1 ≤	QUANTITY
ejpam-2102	65	1	noetherian	NORP
ejpam-2102	66	1	noetherian	NORP
ejpam-2102	67	1	2	CARDINAL
ejpam-2102	68	1	k. chib	PERSON
ejpam-2102	69	1	j. pure	PERSON
ejpam-2102	69	2	8 (	PERCENT
ejpam-2102	69	3	111	CARDINAL
ejpam-2102	69	4	117 113	CARDINAL
ejpam-2102	69	5	1	CARDINAL
ejpam-2102	70	1	noetherian	NORP
ejpam-2102	70	2	r.	NORP
ejpam-2102	70	3	s(r	GPE
ejpam-2102	71	1	2	CARDINAL
ejpam-2102	72	1	8	CARDINAL
ejpam-2102	73	1	1	CARDINAL
ejpam-2102	74	1	3.4	CARDINAL
ejpam-2102	74	2	r.	NORP
ejpam-2102	74	3	1	CARDINAL
ejpam-2102	74	4	α(δ(a	ORG
ejpam-2102	75	1	∈	ORG
ejpam-2102	75	2	3.4	CARDINAL
ejpam-2102	75	3	8	CARDINAL
ejpam-2102	77	1	1.1	CARDINAL
ejpam-2102	77	2	2	CARDINAL
ejpam-2102	77	3	2	CARDINAL
ejpam-2102	77	4	p(r	PERSON
ejpam-2102	77	5	n(r	TIME
ejpam-2102	78	1	∈	ORG
ejpam-2102	78	2	∈	ORG
ejpam-2102	78	3	r.	NORP
ejpam-2102	78	4	2	CARDINAL
ejpam-2102	78	5	kim	PERSON
ejpam-2102	78	6	kwak	PERSON
ejpam-2102	78	7	14	CARDINAL
ejpam-2102	79	1	2primal	CARDINAL
ejpam-2102	79	2	argac	ORG
ejpam-2102	79	3	1	CARDINAL
ejpam-2102	80	1	2	CARDINAL
ejpam-2102	80	2	recent years	DATE
ejpam-2102	81	1	14	CARDINAL
ejpam-2102	81	2	greg marks	PERSON
ejpam-2102	81	3	2	CARDINAL
ejpam-2102	81	4	r.	NORP
ejpam-2102	81	5	greg marks	PERSON
ejpam-2102	82	1	14	CARDINAL
ejpam-2102	82	2	2	CARDINAL
ejpam-2102	82	3	r.	NORP
ejpam-2102	82	4	2	CARDINAL
ejpam-2102	82	5	2	CARDINAL
ejpam-2102	83	1	2	CARDINAL
ejpam-2102	83	2	2	CARDINAL
ejpam-2102	84	1	2	CARDINAL
ejpam-2102	84	2	1	CARDINAL
ejpam-2102	84	3	5	DATE
ejpam-2102	84	4	7	DATE
ejpam-2102	84	5	13	DATE
ejpam-2102	84	6	14	CARDINAL
ejpam-2102	85	1	2	CARDINAL
ejpam-2102	87	1	1	CARDINAL
ejpam-2102	88	1	4	CARDINAL
ejpam-2102	88	2	10	CARDINAL
ejpam-2102	88	3	σ(a	ORG
ejpam-2102	91	1	δ(r	ORG
ejpam-2102	92	1	r.	NORP
ejpam-2102	93	1	0	CARDINAL
ejpam-2102	94	1	0	CARDINAL
ejpam-2102	95	1	2	CARDINAL
ejpam-2102	96	1	zero	CARDINAL
ejpam-2102	96	2	2	CARDINAL
ejpam-2102	97	1	2	CARDINAL
ejpam-2102	98	1	5	CARDINAL
ejpam-2102	98	2	10	CARDINAL
ejpam-2102	98	3	2× 2	ORG
ejpam-2102	98	4	2	CARDINAL
ejpam-2102	99	1	2	CARDINAL
ejpam-2102	100	1	2	CARDINAL
ejpam-2102	100	2	2	CARDINAL
ejpam-2102	100	3	1.2	CARDINAL
ejpam-2102	102	1	k. chib	PERSON
ejpam-2102	103	1	j. pure	PERSON
ejpam-2102	103	2	8 (	PERCENT
ejpam-2102	103	3	111	CARDINAL
ejpam-2102	103	4	1.2	CARDINAL
ejpam-2102	104	1	σ	ORG
ejpam-2102	104	2	r.	NORP
ejpam-2102	104	3	8	CARDINAL
ejpam-2102	104	4	σ	ORG
ejpam-2102	104	5	0	CARDINAL
ejpam-2102	104	6	0	CARDINAL
ejpam-2102	104	7	∈	ORG
ejpam-2102	105	1	3	CARDINAL
ejpam-2102	106	1	3	CARDINAL
ejpam-2102	107	1	16	CARDINAL
ejpam-2102	107	2	∈	ORG
ejpam-2102	108	1	4	CARDINAL
ejpam-2102	108	2	2.1	CARDINAL
ejpam-2102	109	1	16	CARDINAL
ejpam-2102	111	1	0	CARDINAL
ejpam-2102	113	1	∈	ORG
ejpam-2102	113	2	r.	NORP
ejpam-2102	113	3	σ	ORG
ejpam-2102	114	1	σ(ai	ORG
ejpam-2102	116	1	section 3	LAW
ejpam-2102	116	2	noetherian	NORP
ejpam-2102	116	3	r.	NORP
ejpam-2102	118	1	2	CARDINAL
ejpam-2102	118	2	∈	ORG
ejpam-2102	118	3	∈	ORG
ejpam-2102	120	1	2	CARDINAL
ejpam-2102	121	1	noetherian	NORP
ejpam-2102	122	1	r.	NORP
ejpam-2102	122	2	r.	NORP
ejpam-2102	123	1	noetherian	NORP
ejpam-2102	123	2	r.	NORP
ejpam-2102	123	3	σ(n(r	PERSON
ejpam-2102	124	1	n(r	TIME
ejpam-2102	127	1	∈	ORG
ejpam-2102	127	2	∈	PRODUCT
ejpam-2102	129	1	∈	ORG
ejpam-2102	129	2	σ(n(r	PERSON
ejpam-2102	130	1	n(r	TIME
ejpam-2102	135	1	∈	ORG
ejpam-2102	137	1	∈	PRODUCT
ejpam-2102	142	1	k. chib	PERSON
ejpam-2102	143	1	j. pure	PERSON
ejpam-2102	143	2	8 (	PERCENT
ejpam-2102	143	3	111	CARDINAL
ejpam-2102	143	4	115	CARDINAL
ejpam-2102	143	5	3	CARDINAL
ejpam-2102	144	1	noetherian	NORP
ejpam-2102	144	2	r.	NORP
ejpam-2102	144	3	∈	ORG
ejpam-2102	146	1	bhat	GPE
ejpam-2102	146	2	kiran	PERSON
ejpam-2102	146	3	9	CARDINAL
ejpam-2102	146	4	noetherian	NORP
ejpam-2102	146	5	2	CARDINAL
ejpam-2102	147	1	p(r	PERSON
ejpam-2102	147	2	p(r	PERSON
ejpam-2102	148	1	∈	ORG
ejpam-2102	148	2	∈	ORG
ejpam-2102	148	3	∈	ORG
ejpam-2102	149	1	p(r	PERSON
ejpam-2102	149	2	n(r	TIME
ejpam-2102	149	3	n(r	TIME
ejpam-2102	150	1	2	CARDINAL
ejpam-2102	151	1	∈	ORG
ejpam-2102	152	1	r.	NORP
ejpam-2102	152	2	2.4	CARDINAL
ejpam-2102	152	3	warfield	PERSON
ejpam-2102	153	1	12	CARDINAL
ejpam-2102	156	1	un	ORG
ejpam-2102	156	2	r.	NORP
ejpam-2102	157	1	6=	CARDINAL
ejpam-2102	158	1	r. renumber	PERSON
ejpam-2102	159	1	∈	ORG
ejpam-2102	161	1	σ(a	ORG
ejpam-2102	161	2	un	ORG
ejpam-2102	163	1	p(r	PERSON
ejpam-2102	164	1	p(r	PERSON
ejpam-2102	164	2	∈	ORG
ejpam-2102	164	3	∩n−1 i=1 ui	PERSON
ejpam-2102	165	1	⊆	CARDINAL
ejpam-2102	165	2	un	ORG
ejpam-2102	165	3	⊆	CARDINAL
ejpam-2102	165	4	un	ORG
ejpam-2102	166	1	∈	ORG
ejpam-2102	167	1	2	CARDINAL
ejpam-2102	168	1	hilbert basis theorem	ORG
ejpam-2102	169	1	σ	ORG
ejpam-2102	172	1	2.6	CARDINAL
ejpam-2102	172	2	warfield	PERSON
ejpam-2102	173	1	12	CARDINAL
ejpam-2102	178	1	2.8	CARDINAL
ejpam-2102	178	2	8	CARDINAL
ejpam-2102	179	1	4	CARDINAL
ejpam-2102	180	1	n ∈ n	ORG
ejpam-2102	180	2	∈	ORG
ejpam-2102	182	1	∈	ORG
ejpam-2102	182	2	∈	ORG
ejpam-2102	183	1	1	CARDINAL
ejpam-2102	184	1	noetherian	NORP
ejpam-2102	184	2	r.	NORP
ejpam-2102	184	3	σ(p	ORG
ejpam-2102	185	1	1	CARDINAL
ejpam-2102	187	1	lemma	ORG
ejpam-2102	187	2	2.10	CARDINAL
ejpam-2102	188	1	8	CARDINAL
ejpam-2102	189	1	2	CARDINAL
ejpam-2102	191	1	r.	NORP
ejpam-2102	191	2	∈	ORG
ejpam-2102	191	3	σ(p	ORG
ejpam-2102	193	1	δ(p	PERSON
ejpam-2102	193	2	⊆	CARDINAL
ejpam-2102	194	1	2.6	CARDINAL
ejpam-2102	194	2	8	CARDINAL
ejpam-2102	195	1	3	CARDINAL
ejpam-2102	196	1	noetherian	NORP
ejpam-2102	196	2	σ	ORG
ejpam-2102	197	1	σ(p	ORG
ejpam-2102	197	2	δ(p	PERSON
ejpam-2102	197	3	⊆	CARDINAL
ejpam-2102	198	1	⊆	CARDINAL
ejpam-2102	198	2	1	CARDINAL
ejpam-2102	200	1	lemma	ORG
ejpam-2102	200	2	2.11	CARDINAL
ejpam-2102	201	1	8	CARDINAL
ejpam-2102	202	1	116 3	DATE
ejpam-2102	203	1	3	CARDINAL
ejpam-2102	204	1	noetherian	NORP
ejpam-2102	204	2	r.	NORP
ejpam-2102	207	1	hilbert basis theorem	ORG
ejpam-2102	207	2	1.12	CARDINAL
ejpam-2102	207	3	warfield	PERSON
ejpam-2102	208	1	12	CARDINAL
ejpam-2102	209	1	0	CARDINAL
ejpam-2102	210	1	i j , 1≤	ORG
ejpam-2102	210	2	j ≤ n	PERSON
ejpam-2102	214	1	4	CARDINAL
ejpam-2102	214	2	samuel [17	PERSON
ejpam-2102	216	1	pj	PERSON
ejpam-2102	217	1	pj ∈	PERSON
ejpam-2102	217	2	1 ≤ j ≤ n	QUANTITY
ejpam-2102	217	3	first	ORDINAL
ejpam-2102	218	1	23	CARDINAL
ejpam-2102	219	1	17	CARDINAL
ejpam-2102	221	1	1 ≤	QUANTITY
ejpam-2102	222	1	2.3	CARDINAL
ejpam-2102	222	2	warfield	PERSON
ejpam-2102	223	1	12	CARDINAL
ejpam-2102	224	1	3	CARDINAL
ejpam-2102	224	2	1 ≤	QUANTITY
ejpam-2102	224	3	lemma 2	ORG
ejpam-2102	224	4	δ(u j	PERSON
ejpam-2102	224	5	⊆	CARDINAL
ejpam-2102	224	6	j ≤ n. now	PERSON
ejpam-2102	224	7	1	CARDINAL
ejpam-2102	224	8	3	CARDINAL
ejpam-2102	224	9	δ(u	PERSON
ejpam-2102	224	10	⊆	CARDINAL
ejpam-2102	224	11	1 ≤	QUANTITY
ejpam-2102	226	1	0	CARDINAL
ejpam-2102	227	1	2.11	CARDINAL
ejpam-2102	228	1	4	CARDINAL
ejpam-2102	230	1	india	GPE
ejpam-2102	231	1	1	CARDINAL
ejpam-2102	231	2	n. argac	PERSON
ejpam-2102	231	3	n. j. groenewald	PERSON
ejpam-2102	232	1	2	CARDINAL
ejpam-2102	232	2	quaestiones mathematicae	ORG
ejpam-2102	232	3	27(4	CARDINAL
ejpam-2102	232	4	397-413	CARDINAL
ejpam-2102	232	5	2004	DATE
ejpam-2102	233	1	2	CARDINAL
ejpam-2102	233	2	k. bhat	PERSON
ejpam-2102	234	1	15(1	CARDINAL
ejpam-2102	234	2	45	CARDINAL
ejpam-2102	235	1	2006	DATE
ejpam-2102	236	1	3	CARDINAL
ejpam-2102	236	2	k. bhat	PERSON
ejpam-2102	238	1	20138	DATE
ejpam-2102	239	1	2007	DATE
ejpam-2102	240	1	4	CARDINAL
ejpam-2102	240	2	k. bhat	PERSON
ejpam-2102	241	1	east-west journal	LOC
ejpam-2102	241	2	9(1	CARDINAL
ejpam-2102	241	3	25-30	DATE
ejpam-2102	241	4	2007	DATE
ejpam-2102	242	1	5	CARDINAL
ejpam-2102	242	2	k. bhat	PERSON
ejpam-2102	243	1	2	CARDINAL
ejpam-2102	243	2	ukranian	NORP
ejpam-2102	243	3	4(2	CARDINAL
ejpam-2102	243	4	173	CARDINAL
ejpam-2102	243	5	2007	DATE
ejpam-2102	244	1	117	CARDINAL
ejpam-2102	244	2	6	CARDINAL
ejpam-2102	244	3	k. bhat	PERSON
ejpam-2102	245	1	49(1	CARDINAL
ejpam-2102	245	2	277	CARDINAL
ejpam-2102	246	1	7	CARDINAL
ejpam-2102	246	2	v. k. bhat	PERSON
ejpam-2102	247	1	2	CARDINAL
ejpam-2102	247	2	ukranian	NORP
ejpam-2102	247	3	5(2	DATE
ejpam-2102	247	4	153	CARDINAL
ejpam-2102	247	5	2008	DATE
ejpam-2102	248	1	8	CARDINAL
ejpam-2102	248	2	k. bhat	PERSON
ejpam-2102	249	1	new york	GPE
ejpam-2102	249	2	15	CARDINAL
ejpam-2102	249	3	291	CARDINAL
ejpam-2102	249	4	2009	DATE
ejpam-2102	250	1	9	CARDINAL
ejpam-2102	250	2	k. bhat	PERSON
ejpam-2102	250	3	kiran chib	PERSON
ejpam-2102	251	1	8	CARDINAL
ejpam-2102	251	2	116	CARDINAL
ejpam-2102	251	3	2011	DATE
ejpam-2102	252	1	10	CARDINAL
ejpam-2102	252	2	k. bhat	PERSON
ejpam-2102	253	1	2	CARDINAL
ejpam-2102	253	2	republicii	ORG
ejpam-2102	253	3	moldova	NORP
ejpam-2102	253	4	matematica	ORG
ejpam-2102	253	5	1(65	CARDINAL
ejpam-2102	253	6	42	CARDINAL
ejpam-2102	254	1	2011	DATE
ejpam-2102	255	1	11	CARDINAL
ejpam-2102	255	2	w. d. blair	PERSON
ejpam-2102	255	3	l. w.	PERSON
ejpam-2102	256	1	american	NORP
ejpam-2102	256	2	109(4	CARDINAL
ejpam-2102	256	3	881	CARDINAL
ejpam-2102	256	4	1990	DATE
ejpam-2102	257	1	12	CARDINAL
ejpam-2102	257	2	k. r. goodearl	PERSON
ejpam-2102	257	3	r. b. warfield	PERSON
ejpam-2102	258	1	cambridge university press	ORG
ejpam-2102	258	2	1989	DATE
ejpam-2102	259	1	13	CARDINAL
ejpam-2102	259	2	n. k. kim	PERSON
ejpam-2102	259	3	t. k. kwak	PERSON
ejpam-2102	260	1	2	CARDINAL
ejpam-2102	260	2	mathematica japonica	PERSON
ejpam-2102	260	3	50(3	CARDINAL
ejpam-2102	260	4	415	CARDINAL
ejpam-2102	261	1	1999	DATE
ejpam-2102	262	1	14	CARDINAL
ejpam-2102	263	1	2	CARDINAL
ejpam-2102	263	2	29(5	CARDINAL
ejpam-2102	263	3	2113-2123.	ORG
ejpam-2102	264	1	15	CARDINAL
ejpam-2102	264	2	j. c. mcconnell	PERSON
ejpam-2102	264	3	j. c. robson	PERSON
ejpam-2102	265	1	noncommutative noetherian	NORP
ejpam-2102	265	2	american	NORP
ejpam-2102	265	3	2001	DATE
ejpam-2102	266	1	16	CARDINAL
ejpam-2102	266	2	l. ouyang	PERSON
ejpam-2102	267	1	3	CARDINAL
ejpam-2102	267	2	103	CARDINAL
ejpam-2102	267	3	2008	DATE
ejpam-2102	268	1	17	CARDINAL
ejpam-2102	268	2	p. samuel	PERSON
ejpam-2102	270	1	d. van nostrand	PERSON
ejpam-2102	270	2	1967	DATE