id	sid	eid	entity	type
ejpam-609	1	1	8_609_bhat.dvi	CARDINAL
ejpam-609	1	2	european journal	ORG
ejpam-609	2	1	3	CARDINAL
ejpam-609	2	2	4, 2010	DATE
ejpam-609	2	3	695	CARDINAL
ejpam-609	2	4	1307-5543	DATE
ejpam-609	3	1	smvd university	ORG
ejpam-609	3	2	smvd university	ORG
ejpam-609	3	3	katra	GPE
ejpam-609	3	4	j and k	WORK_OF_ART
ejpam-609	4	1	∈ p(r	PERSON
ejpam-609	4	2	∈	ORG
ejpam-609	4	3	∈	ORG
ejpam-609	4	4	p(r	PERSON
ejpam-609	4	5	r.	NORP
ejpam-609	5	1	∈	ORG
ejpam-609	5	2	n(r	TIME
ejpam-609	5	3	r.	NORP
ejpam-609	8	1	∈	ORG
ejpam-609	8	2	σ	ORG
ejpam-609	8	3	σ	ORG
ejpam-609	9	1	2	CARDINAL
ejpam-609	9	2	noetherian	NORP
ejpam-609	9	3	σ	ORG
ejpam-609	10	1	∈	ORG
ejpam-609	11	1	2000	DATE
ejpam-609	11	2	16s36	CARDINAL
ejpam-609	11	3	16p40	DATE
ejpam-609	11	4	16p50	CARDINAL
ejpam-609	11	5	16u20,16w25	CARDINAL
ejpam-609	11	6	2	CARDINAL
ejpam-609	11	7	1	CARDINAL
ejpam-609	12	1	1 6=	CARDINAL
ejpam-609	15	1	p(r	PERSON
ejpam-609	16	1	ring p(r	PERSON
ejpam-609	17	1	r.	NORP
ejpam-609	17	2	σ	ORG
ejpam-609	17	3	n ∑ i=0	ORG
ejpam-609	17	4	∈	ORG
ejpam-609	17	5	n ∈ n	PRODUCT
ejpam-609	19	1	695	CARDINAL
ejpam-609	19	2	2010	DATE
ejpam-609	21	1	j. pure	PERSON
ejpam-609	21	2	3	CARDINAL
ejpam-609	21	3	2010	DATE
ejpam-609	21	4	695-703 696	QUANTITY
ejpam-609	22	1	∈	ORG
ejpam-609	22	2	r.	NORP
ejpam-609	22	3	σ	ORG
ejpam-609	23	1	∑n i=0 x iai	PERSON
ejpam-609	23	2	∈	ORG
ejpam-609	23	3	mcconnell	PERSON
ejpam-609	23	4	robson	PERSON
ejpam-609	23	5	14	CARDINAL
ejpam-609	24	1	σ	ORG
ejpam-609	25	1	σ	ORG
ejpam-609	25	2	zero	CARDINAL
ejpam-609	25	3	s(r	GPE
ejpam-609	26	1	1	CARDINAL
ejpam-609	26	2	mcconnell	PERSON
ejpam-609	26	3	robson	PERSON
ejpam-609	26	4	14	CARDINAL
ejpam-609	28	1	1	CARDINAL
ejpam-609	28	2	3	DATE
ejpam-609	28	3	6	DATE
ejpam-609	28	4	8	DATE
ejpam-609	28	5	11	DATE
ejpam-609	28	6	12	DATE
ejpam-609	28	7	15	CARDINAL
ejpam-609	31	1	9	CARDINAL
ejpam-609	31	2	8	CARDINAL
ejpam-609	32	1	6	CARDINAL
ejpam-609	32	2	zero	CARDINAL
ejpam-609	33	1	6	CARDINAL
ejpam-609	33	2	noetherian	NORP
ejpam-609	33	3	σ	ORG
ejpam-609	35	1	k. r. goodearl	PERSON
ejpam-609	35	2	e. s. letzter	PERSON
ejpam-609	36	1	9	CARDINAL
ejpam-609	36	2	7	CARDINAL
ejpam-609	36	3	s. annin	PERSON
ejpam-609	37	1	1	CARDINAL
ejpam-609	37	2	12	CARDINAL
ejpam-609	37	3	15	CARDINAL
ejpam-609	38	1	3	CARDINAL
ejpam-609	39	1	recent past	DATE
ejpam-609	39	2	2	CARDINAL
ejpam-609	42	1	2	CARDINAL
ejpam-609	42	2	= p(r	PERSON
ejpam-609	43	1	∈	ORG
ejpam-609	43	2	∈	ORG
ejpam-609	43	3	∈	ORG
ejpam-609	43	4	r.	NORP
ejpam-609	43	5	2	CARDINAL
ejpam-609	43	6	2	CARDINAL
ejpam-609	44	1	2	CARDINAL
ejpam-609	44	2	recent years	DATE
ejpam-609	45	1	13	CARDINAL
ejpam-609	45	2	2	CARDINAL
ejpam-609	45	3	σ	ORG
ejpam-609	45	4	r.	NORP
ejpam-609	45	5	13	CARDINAL
ejpam-609	45	6	σ	ORG
ejpam-609	45	7	2	CARDINAL
ejpam-609	45	8	r.	NORP
ejpam-609	45	9	σ	ORG
ejpam-609	45	10	2	CARDINAL
ejpam-609	45	11	σ	ORG
ejpam-609	45	12	2	CARDINAL
ejpam-609	46	1	krempa	PERSON
ejpam-609	46	2	10	CARDINAL
ejpam-609	46	3	kwak	ORG
ejpam-609	46	4	11	CARDINAL
ejpam-609	46	5	2	CARDINAL
ejpam-609	46	6	ouyang	PERSON
ejpam-609	46	7	16	CARDINAL
ejpam-609	46	8	σ	ORG
ejpam-609	46	9	r.	NORP
ejpam-609	46	10	2	CARDINAL
ejpam-609	49	1	j. pure	PERSON
ejpam-609	49	2	3	CARDINAL
ejpam-609	49	3	2010	DATE
ejpam-609	49	4	695	CARDINAL
ejpam-609	49	5	1	CARDINAL
ejpam-609	53	1	2	CARDINAL
ejpam-609	54	1	5	CARDINAL
ejpam-609	57	1	∈	ORG
ejpam-609	57	2	σ	ORG
ejpam-609	57	3	σ	ORG
ejpam-609	57	4	σ	ORG
ejpam-609	57	5	σ	CARDINAL
ejpam-609	58	1	σ	ORG
ejpam-609	59	1	i=0 x	PERSON
ejpam-609	60	1	6=	CARDINAL
ejpam-609	61	1	∈	ORG
ejpam-609	62	1	xa	PERSON
ejpam-609	63	1	r.	NORP
ejpam-609	66	1	x2{σ(δ(a))σ(b)+σ(a)δ(b)}+ x{δ2(a)σ(b)+δ(a)σ(b	PERSON
ejpam-609	67	1	2	CARDINAL
ejpam-609	68	1	noetherian	NORP
ejpam-609	70	1	∈	ORG
ejpam-609	70	2	σ	ORG
ejpam-609	71	1	7	CARDINAL
ejpam-609	72	1	2	CARDINAL
ejpam-609	72	2	2.1	CARDINAL
ejpam-609	73	1	1	CARDINAL
ejpam-609	74	1	r.	NORP
ejpam-609	74	2	σ	ORG
ejpam-609	74	3	0	CARDINAL
ejpam-609	74	4	0	CARDINAL
ejpam-609	74	5	∈	ORG
ejpam-609	74	6	r.	NORP
ejpam-609	74	7	r.	NORP
ejpam-609	74	8	c→	ORG
ejpam-609	74	9	σ	ORG
ejpam-609	74	10	r.	NORP
ejpam-609	74	11	3.3	CARDINAL
ejpam-609	74	12	10	CARDINAL
ejpam-609	74	13	r.	NORP
ejpam-609	74	14	σ	ORG
ejpam-609	74	15	σ	ORG
ejpam-609	74	16	σ	ORG
ejpam-609	76	1	p[x	ORG
ejpam-609	76	2	r. v. bhat	PERSON
ejpam-609	77	1	j. pure	PERSON
ejpam-609	77	2	3	CARDINAL
ejpam-609	77	3	2010	DATE
ejpam-609	77	4	695-703 698	QUANTITY
ejpam-609	77	5	2	CARDINAL
ejpam-609	77	6	11	CARDINAL
ejpam-609	78	1	r.	NORP
ejpam-609	78	2	∈ p(r	PERSON
ejpam-609	78	3	∈	ORG
ejpam-609	78	4	∈	ORG
ejpam-609	78	5	1	CARDINAL
ejpam-609	78	6	2	CARDINAL
ejpam-609	78	7	11	CARDINAL
ejpam-609	80	1	p(r	PERSON
ejpam-609	82	1	σ	ORG
ejpam-609	84	1	0 6=	CARDINAL
ejpam-609	84	2	∈	ORG
ejpam-609	85	1	0	CARDINAL
ejpam-609	85	2	0	CARDINAL
ejpam-609	85	3	6=	CARDINAL
ejpam-609	85	4	0	CARDINAL
ejpam-609	86	1	1	CARDINAL
ejpam-609	86	2	2	CARDINAL
ejpam-609	88	1	2	CARDINAL
ejpam-609	88	2	r.	NORP
ejpam-609	88	3	11	CARDINAL
ejpam-609	88	4	2	CARDINAL
ejpam-609	89	1	kwak	PERSON
ejpam-609	89	2	11	CARDINAL
ejpam-609	89	3	2	CARDINAL
ejpam-609	90	1	5	CARDINAL
ejpam-609	90	2	11	CARDINAL
ejpam-609	90	3	2	CARDINAL
ejpam-609	90	4	σ	ORG
ejpam-609	90	5	σ(p	ORG
ejpam-609	91	1	∈	ORG
ejpam-609	92	1	12	CARDINAL
ejpam-609	92	2	11	CARDINAL
ejpam-609	92	3	σ(p(r	PERSON
ejpam-609	93	1	= p(r	PERSON
ejpam-609	93	2	2	CARDINAL
ejpam-609	94	1	2	CARDINAL
ejpam-609	95	1	2	CARDINAL
ejpam-609	95	2	4	CARDINAL
ejpam-609	95	3	11	CARDINAL
ejpam-609	97	1	2	CARDINAL
ejpam-609	97	2	p(r	PERSON
ejpam-609	99	1	σ	ORG
ejpam-609	102	1	6=	DATE
ejpam-609	103	1	r.	NORP
ejpam-609	104	1	r.	NORP
ejpam-609	104	2	p(r	PERSON
ejpam-609	106	1	2.2	CARDINAL
ejpam-609	107	1	4	CARDINAL
ejpam-609	108	1	2	CARDINAL
ejpam-609	109	1	noetharian	NORP
ejpam-609	109	2	r.	NORP
ejpam-609	109	3	2	CARDINAL
ejpam-609	112	1	2	CARDINAL
ejpam-609	113	1	chapter 9	LAW
ejpam-609	113	2	warfield	PERSON
ejpam-609	114	1	8	CARDINAL
ejpam-609	117	1	j. pure	PERSON
ejpam-609	117	2	3	CARDINAL
ejpam-609	117	3	2010	DATE
ejpam-609	117	4	695	CARDINAL
ejpam-609	117	5	703 699	CARDINAL
ejpam-609	119	1	1	CARDINAL
ejpam-609	119	2	0	CARDINAL
ejpam-609	119	3	ab ∈ p	ORG
ejpam-609	120	1	σ	ORG
ejpam-609	120	2	2.4	CARDINAL
ejpam-609	120	3	4	CARDINAL
ejpam-609	120	4	3	CARDINAL
ejpam-609	122	1	r.	NORP
ejpam-609	122	2	r.	NORP
ejpam-609	123	1	2.4	CARDINAL
ejpam-609	123	2	4	CARDINAL
ejpam-609	124	1	3	CARDINAL
ejpam-609	125	1	r.	NORP
ejpam-609	125	2	δ(u	ORG
ejpam-609	125	3	⊆	CARDINAL
ejpam-609	125	4	∈	ORG
ejpam-609	127	1	1	CARDINAL
ejpam-609	127	2	p(r	PERSON
ejpam-609	129	1	3	CARDINAL
ejpam-609	131	1	∈	ORG
ejpam-609	131	2	1	CARDINAL
ejpam-609	132	1	first	ORDINAL
ejpam-609	132	2	r.	NORP
ejpam-609	132	3	∈	ORG
ejpam-609	133	1	1	CARDINAL
ejpam-609	136	1	r.	NORP
ejpam-609	136	2	∈	ORG
ejpam-609	139	1	arb ⊆	ORG
ejpam-609	143	1	∈	ORG
ejpam-609	146	1	δt+s(ad	DATE
ejpam-609	146	2	∈	ORG
ejpam-609	146	3	arb ⊆	ORG
ejpam-609	147	1	∈	ORG
ejpam-609	147	2	∈	ORG
ejpam-609	151	1	∈	ORG
ejpam-609	152	1	⊆	CARDINAL
ejpam-609	153	1	δ(u)⊆	PERSON
ejpam-609	154	1	4	CARDINAL
ejpam-609	156	1	r.	NORP
ejpam-609	156	2	1.	CARDINAL
ejpam-609	156	3	δ(p)⊆	PERSON
ejpam-609	156	4	σ(p	ORG
ejpam-609	156	5	p[x	ORG
ejpam-609	156	6	σ	ORG
ejpam-609	157	1	2.	CARDINAL
ejpam-609	157	2	∩	PERSON
ejpam-609	157	3	r.	NORP
ejpam-609	158	1	2.2	CARDINAL
ejpam-609	159	1	2	CARDINAL
ejpam-609	163	1	∈	ORG
ejpam-609	163	2	σ	ORG
ejpam-609	163	3	σ	ORG
ejpam-609	165	1	j. pure	PERSON
ejpam-609	165	2	3	CARDINAL
ejpam-609	165	3	2010	DATE
ejpam-609	165	4	695-703 700	QUANTITY
ejpam-609	166	1	1	CARDINAL
ejpam-609	166	2	p(r	PERSON
ejpam-609	166	3	r.	NORP
ejpam-609	167	1	3	CARDINAL
ejpam-609	168	1	3	CARDINAL
ejpam-609	168	2	δ(u)⊆	ORG
ejpam-609	169	1	4	CARDINAL
ejpam-609	169	2	σ	ORG
ejpam-609	169	3	σ	ORG
ejpam-609	170	1	3	CARDINAL
ejpam-609	170	2	3	CARDINAL
ejpam-609	171	1	16	CARDINAL
ejpam-609	174	1	∈	ORG
ejpam-609	174	2	4	CARDINAL
ejpam-609	174	3	2.1	CARDINAL
ejpam-609	174	4	16	CARDINAL
ejpam-609	176	1		PRODUCT
ejpam-609	176	2	0	CARDINAL
ejpam-609	177	1		PERSON
ejpam-609	178	1	∈	ORG
ejpam-609	178	2	r.	NORP
ejpam-609	178	3	σ	ORG
ejpam-609	179	1	σ(ai	ORG
ejpam-609	181	1	ouyang	PERSON
ejpam-609	181	2	16	CARDINAL
ejpam-609	181	3	σ	ORG
ejpam-609	182	1	5	CARDINAL
ejpam-609	186	1	2	CARDINAL
ejpam-609	189	1	2	CARDINAL
ejpam-609	189	2	2	CARDINAL
ejpam-609	189	3	= p(r	PERSON
ejpam-609	190	1	= p(r	PERSON
ejpam-609	190	2	∈	ORG
ejpam-609	190	3	n(r	TIME
ejpam-609	192	1	2	CARDINAL
ejpam-609	193	1	= p(r	PERSON
ejpam-609	194	1	∈ p(r	PERSON
ejpam-609	194	2	∈	ORG
ejpam-609	196	1	r.	NORP
ejpam-609	197	1	1	CARDINAL
ejpam-609	197	2	6	CARDINAL
ejpam-609	198	1	noetherian	NORP
ejpam-609	199	1	r.	NORP
ejpam-609	201	1	first	ORDINAL
ejpam-609	201	2	σ(n(r	PERSON
ejpam-609	202	1	n(r	TIME
ejpam-609	203	1	σ(n(r	PERSON
ejpam-609	204	1	⊆	CARDINAL
ejpam-609	204	2	σ(n(r	PERSON
ejpam-609	204	3	r.	NORP
ejpam-609	204	4	∈	ORG
ejpam-609	204	5	n = σ(a	ORG
ejpam-609	206	1	∈	ORG
ejpam-609	206	2	σ(a	ORG
ejpam-609	206	3	r.	NORP
ejpam-609	206	4	n(r)⊆	ORG
ejpam-609	206	5	σ(n(r	PERSON
ejpam-609	207	1	σ(n(r	PERSON
ejpam-609	208	1	n(r	TIME
ejpam-609	211	1	∈	ORG
ejpam-609	211	2	∈	PRODUCT
ejpam-609	213	1	∈	ORG
ejpam-609	213	2	σ(n(r	PERSON
ejpam-609	214	1	n(r	TIME
ejpam-609	218	1	j. pure	PERSON
ejpam-609	218	2	3	CARDINAL
ejpam-609	218	3	2010	DATE
ejpam-609	218	4	695	CARDINAL
ejpam-609	218	5	1	CARDINAL
ejpam-609	219	1	noetherian	NORP
ejpam-609	220	1	r.	NORP
ejpam-609	220	2	2	CARDINAL
ejpam-609	220	3	r.	NORP
ejpam-609	221	1	3	CARDINAL
ejpam-609	221	2	6	CARDINAL
ejpam-609	223	1	noetherian	NORP
ejpam-609	228	1	2	CARDINAL
ejpam-609	228	2	2	CARDINAL
ejpam-609	230	1	⊆	CARDINAL
ejpam-609	234	1	r))k	ORG
ejpam-609	234	2	0	CARDINAL
ejpam-609	234	3	0	CARDINAL
ejpam-609	235	1	zero	CARDINAL
ejpam-609	237	1	zero	CARDINAL
ejpam-609	238	1	amr= 0	DATE
ejpam-609	239	1	amr= 0⊆	CARDINAL
ejpam-609	239	2	∈	ORG
ejpam-609	240	1	⊆	CARDINAL
ejpam-609	240	2	1 ≤	QUANTITY
ejpam-609	240	3	j ≤ k. therefore	PERSON
ejpam-609	240	4	amr ⊆	PERSON
ejpam-609	240	5	j)m(p	PERSON
ejpam-609	241	1	j)m(p	PERSON
ejpam-609	242	1	3	CARDINAL
ejpam-609	243	1	amr ⊆ p	ORG
ejpam-609	243	2	∈	ORG
ejpam-609	244	1	∈ p(r	PERSON
ejpam-609	244	2	2	CARDINAL
ejpam-609	244	3	∈ n(r	PRODUCT
ejpam-609	245	1	∈	ORG
ejpam-609	246	1	⊆	CARDINAL
ejpam-609	246	2	∈	ORG
ejpam-609	246	3	n(r	TIME
ejpam-609	246	4	0 ≤	MONEY
ejpam-609	246	5	1	CARDINAL
ejpam-609	247	1	∈	ORG
ejpam-609	250	1	σ	ORG
ejpam-609	251	1	∈	ORG
ejpam-609	251	2	σ	ORG
ejpam-609	251	3	σ	ORG
ejpam-609	251	4	σ	ORG
ejpam-609	251	5	σ	CARDINAL
ejpam-609	252	1	σ	ORG
ejpam-609	252	2	σ	ORG
ejpam-609	253	1	i=0 x	PERSON
ejpam-609	255	1	2	CARDINAL
ejpam-609	255	2	noetherian	NORP
ejpam-609	257	1	∈	ORG
ejpam-609	257	2	σ	ORG
ejpam-609	260	1	5	CARDINAL
ejpam-609	261	1	5	CARDINAL
ejpam-609	263	1	σ	ORG
ejpam-609	266	1	1	CARDINAL
ejpam-609	267	1	xa1+ a0)(xσ(a1	DATE
ejpam-609	271	1	+ xσ(a0)σ(a1	PERCENT
ejpam-609	271	2	702 +	CARDINAL
ejpam-609	271	3	∈	ORG
ejpam-609	272	1	1	CARDINAL
ejpam-609	273	1	σ(n(r	PERSON
ejpam-609	274	1	n(r	TIME
ejpam-609	274	2	∈	ORG
ejpam-609	274	3	1	CARDINAL
ejpam-609	275	1	1	CARDINAL
ejpam-609	276	1	∈	ORG
ejpam-609	281	1	+ 1	DATE
ejpam-609	286	1	+ x2k+1(σk(ak+1)σ(ak	PERCENT
ejpam-609	288	1	∈	ORG
ejpam-609	289	1	∈	ORG
ejpam-609	289	2	m.	PERSON
ejpam-609	289	3	noetherian	NORP
ejpam-609	291	1	∈	ORG
ejpam-609	291	2	r.	NORP
ejpam-609	293	1	σ	ORG
ejpam-609	294	1	1	CARDINAL
ejpam-609	294	2	s. annin	PERSON
ejpam-609	295	1	2511-2528	CARDINAL
ejpam-609	296	1	2003k:16037	CARDINAL
ejpam-609	297	1	2002	DATE
ejpam-609	298	1	2	CARDINAL
ejpam-609	298	2	k. bhat	PERSON
ejpam-609	298	3	2	CARDINAL
ejpam-609	298	4	ukrainian	NORP
ejpam-609	299	1	bulletin	PERSON
ejpam-609	299	2	4	CARDINAL
ejpam-609	299	3	173	CARDINAL
ejpam-609	300	1	2010b:16082	CARDINAL
ejpam-609	301	1	2007	DATE
ejpam-609	302	1	3	CARDINAL
ejpam-609	302	2	k. bhat	PERSON
ejpam-609	302	3	49(1	TIME
ejpam-609	302	4	277	CARDINAL
ejpam-609	303	1	mr2410584	PERSON
ejpam-609	303	2	2009e:16046	CARDINAL
ejpam-609	304	1	2008	DATE
ejpam-609	305	1	4	CARDINAL
ejpam-609	305	2	k. bhat	PERSON
ejpam-609	305	3	neetu kumari	PERSON
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ejpam-609	310	1	2008	DATE
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ejpam-609	314	3	881	CARDINAL
ejpam-609	315	1	90k:16003	CARDINAL
ejpam-609	316	1	1990	DATE
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ejpam-609	318	1	28	CARDINAL
ejpam-609	318	2	3983-3986	CARDINAL
ejpam-609	319	1	mr1767601	PERSON
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ejpam-609	320	1	2000	DATE
ejpam-609	321	1	8	CARDINAL
ejpam-609	321	2	k. r. goodearl	PERSON
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ejpam-609	325	1	703	CARDINAL
ejpam-609	326	1	9	CARDINAL
ejpam-609	326	2	k. r. goodearl	PERSON
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ejpam-609	328	1	1994	DATE
ejpam-609	329	1	10	CARDINAL
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ejpam-609	330	1	98e:16027	CARDINAL
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ejpam-609	331	1	11	CARDINAL
ejpam-609	331	2	t. k. kwak	PERSON
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ejpam-609	333	1	sci.	ORG
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ejpam-609	333	3	219227	DATE
ejpam-609	335	1	2003	DATE
ejpam-609	336	1	12	CARDINAL
ejpam-609	336	2	a. leroy	PERSON
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ejpam-609	339	1	2004	DATE
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ejpam-609	343	1	2001	DATE
ejpam-609	344	1	14	CARDINAL
ejpam-609	344	2	j. c. mcconnell	PERSON
ejpam-609	344	3	j. c. robson	PERSON
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ejpam-609	344	6	american mathematical society mr1811901	ORG
ejpam-609	344	7	0980.16019.	DATE
ejpam-609	346	1	15	CARDINAL
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ejpam-609	346	5	69	CARDINAL
ejpam-609	347	1	mr2124809	PERSON
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ejpam-609	349	1	16	CARDINAL
ejpam-609	349	2	l. ouyang	PERSON
ejpam-609	350	1	j. algebra	PERSON
ejpam-609	350	2	3	CARDINAL
ejpam-609	350	3	103116	DATE
ejpam-609	352	1	2008	DATE