id	sid	eid	entity	type
ejpam-1598	1	1	3_dutta.dvi	CARDINAL
ejpam-1598	1	2	european	NORP
ejpam-1598	1	3	5	CARDINAL
ejpam-1598	1	4	2, 2012	DATE
ejpam-1598	1	5	116	CARDINAL
ejpam-1598	1	6	1307-5543	CARDINAL
ejpam-1598	1	7	k. dutta1	PERSON
ejpam-1598	1	8	kar ping shum 2,∗	PERSON
ejpam-1598	2	1	1	CARDINAL
ejpam-1598	2	2	university of calcutta	ORG
ejpam-1598	2	3	35	DATE
ejpam-1598	2	4	2	CARDINAL
ejpam-1598	2	5	yunnan university	ORG
ejpam-1598	2	6	kunming	GPE
ejpam-1598	2	7	650091	DATE
ejpam-1598	2	8	people republic of china 3	GPE
ejpam-1598	2	9	university of calcutta	ORG
ejpam-1598	2	10	35	DATE
ejpam-1598	2	11	kolkata710019	GPE
ejpam-1598	2	12	india	GPE
ejpam-1598	7	1	2010	DATE
ejpam-1598	7	2	16y60	CARDINAL
ejpam-1598	7	3	16y99	DATE
ejpam-1598	9	1	1	CARDINAL
ejpam-1598	9	2	m. ferrero	PERSON
ejpam-1598	9	3	e. r. puczylowski	PERSON
ejpam-1598	9	4	10	CARDINAL
ejpam-1598	10	1	t. k. dutta	PERSON
ejpam-1598	10	2	s. kar	PERSON
ejpam-1598	10	3	1	CARDINAL
ejpam-1598	11	1	2003	DATE
ejpam-1598	12	1	1932	DATE
ejpam-1598	12	2	13	CARDINAL
ejpam-1598	12	3	abelian	NORP
ejpam-1598	14	1	los 15	FAC
ejpam-1598	15	1	w. g. lister	PERSON
ejpam-1598	16	1	14	CARDINAL
ejpam-1598	17	1	abelian	NORP
ejpam-1598	17	2	tuv	ORG
ejpam-1598	19	1	w. g. lister	PERSON
ejpam-1598	19	2	1971	DATE
ejpam-1598	21	1	∗corresponding	PERSON
ejpam-1598	24	1	o.in	PERSON
ejpam-1598	26	1	s. mandal	PERSON
ejpam-1598	27	1	116	CARDINAL
ejpam-1598	28	1	2012	DATE
ejpam-1598	29	1	t. dutta	ORG
ejpam-1598	29	2	k. shum	PERSON
ejpam-1598	29	3	s. mandal / eur	PERSON
ejpam-1598	30	1	j. pure	PERSON
ejpam-1598	30	2	5	CARDINAL
ejpam-1598	30	3	2012	DATE
ejpam-1598	30	4	116	CARDINAL
ejpam-1598	30	5	1	CARDINAL
ejpam-1598	30	6	2	DATE
ejpam-1598	30	7	3	DATE
ejpam-1598	30	8	4	DATE
ejpam-1598	30	9	5	DATE
ejpam-1598	30	10	6	DATE
ejpam-1598	30	11	7	DATE
ejpam-1598	30	12	8	DATE
ejpam-1598	30	13	11	CARDINAL
ejpam-1598	34	1	first	ORDINAL
ejpam-1598	38	1	w	GPE
ejpam-1598	39	1	g. lister	PERSON
ejpam-1598	40	1	14	CARDINAL
ejpam-1598	41	1	2	CARDINAL
ejpam-1598	41	2	first	ORDINAL
ejpam-1598	42	1	1	CARDINAL
ejpam-1598	43	1	1	CARDINAL
ejpam-1598	43	2	= acd + bcd	PERSON
ejpam-1598	44	1	abd + acd	PERSON
ejpam-1598	44	2	+ abd	PERSON
ejpam-1598	44	3	2	CARDINAL
ejpam-1598	45	1	1	CARDINAL
ejpam-1598	47	1	0x	CARDINAL
ejpam-1598	48	1	y ∈	PERSON
ejpam-1598	49	1	zero	CARDINAL
ejpam-1598	49	2	zero	CARDINAL
ejpam-1598	49	3	zero	CARDINAL
ejpam-1598	51	1	3	CARDINAL
ejpam-1598	52	1	4	CARDINAL
ejpam-1598	52	2	1,2	CARDINAL
ejpam-1598	56	1	i=1 ei x	PERSON
ejpam-1598	59	1	1,2	CARDINAL
ejpam-1598	60	1	= xee =	PERSON
ejpam-1598	61	1	∈	ORG
ejpam-1598	62	1	x(e ye)e	PERSON
ejpam-1598	62	2	xe(yee	PERSON
ejpam-1598	64	1	t. dutta	PERSON
ejpam-1598	64	2	k. shum	PERSON
ejpam-1598	64	3	s. mandal / eur	PERSON
ejpam-1598	65	1	j. pure	PERSON
ejpam-1598	65	2	5	CARDINAL
ejpam-1598	65	3	2012	DATE
ejpam-1598	65	4	116	CARDINAL
ejpam-1598	65	5	118	CARDINAL
ejpam-1598	65	6	1	CARDINAL
ejpam-1598	67	1	4	CARDINAL
ejpam-1598	68	1	1	CARDINAL
ejpam-1598	68	2	∈	PRODUCT
ejpam-1598	68	3	5	CARDINAL
ejpam-1598	69	1	1	CARDINAL
ejpam-1598	70	1	is2	ORG
ejpam-1598	70	2	∈	ORG
ejpam-1598	74	1	2	CARDINAL
ejpam-1598	75	1	1	CARDINAL
ejpam-1598	75	2	∈	ORG
ejpam-1598	75	3	〈a〉l	PERSON
ejpam-1598	75	4	〈a〉r	PERSON
ejpam-1598	75	5	two	CARDINAL
ejpam-1598	75	6	〈a〉m = sas +	PERSON
ejpam-1598	76	1	sas + ssass	ORG
ejpam-1598	76	2	zero	CARDINAL
ejpam-1598	78	1	6	CARDINAL
ejpam-1598	81	1	∈	ORG
ejpam-1598	82	1	∈	ORG
ejpam-1598	83	1	7	CARDINAL
ejpam-1598	84	1	4	CARDINAL
ejpam-1598	84	2	zero	CARDINAL
ejpam-1598	84	3	zdf	ORG
ejpam-1598	84	4	∈	ORG
ejpam-1598	84	5	abc	ORG
ejpam-1598	84	6	0	CARDINAL
ejpam-1598	84	7	0	CARDINAL
ejpam-1598	84	8	0	CARDINAL
ejpam-1598	84	9	8	DATE
ejpam-1598	85	1	4	CARDINAL
ejpam-1598	85	2	abc	ORG
ejpam-1598	85	3	bac = bca	PERSON
ejpam-1598	85	4	9	DATE
ejpam-1598	86	1	4	CARDINAL
ejpam-1598	86	2	zero	CARDINAL
ejpam-1598	86	3	zdf	ORG
ejpam-1598	87	1	10	CARDINAL
ejpam-1598	88	1	2	CARDINAL
ejpam-1598	88	2	three	CARDINAL
ejpam-1598	88	3	abc ⊆ p	ORG
ejpam-1598	88	4	⊆	CARDINAL
ejpam-1598	88	5	⊆	CARDINAL
ejpam-1598	88	6	11	CARDINAL
ejpam-1598	89	1	2	CARDINAL
ejpam-1598	89	2	zero	CARDINAL
ejpam-1598	89	3	0	CARDINAL
ejpam-1598	89	4	s. definition 12	ORG
ejpam-1598	90	1	3	CARDINAL
ejpam-1598	90	2	⊆	CARDINAL
ejpam-1598	90	3	p. t. dutta	PERSON
ejpam-1598	90	4	k. shum	PERSON
ejpam-1598	90	5	s. mandal / eur	PERSON
ejpam-1598	91	1	j. pure	PERSON
ejpam-1598	91	2	5	CARDINAL
ejpam-1598	91	3	2012	DATE
ejpam-1598	91	4	116	CARDINAL
ejpam-1598	91	5	13	CARDINAL
ejpam-1598	92	1	3	CARDINAL
ejpam-1598	92	2	zero	CARDINAL
ejpam-1598	92	3	14	DATE
ejpam-1598	93	1	5	CARDINAL
ejpam-1598	93	2	zero	CARDINAL
ejpam-1598	93	3	0	CARDINAL
ejpam-1598	93	4	∈	ORG
ejpam-1598	96	1	0	CARDINAL
ejpam-1598	98	1	15	CARDINAL
ejpam-1598	99	1	5	CARDINAL
ejpam-1598	100	1	ast ∈ n	PERSON
ejpam-1598	100	2	∈	ORG
ejpam-1598	100	3	16	DATE
ejpam-1598	101	1	zero	CARDINAL
ejpam-1598	101	2	j of s	WORK_OF_ART
ejpam-1598	102	1	17	CARDINAL
ejpam-1598	103	1	∈	ORG
ejpam-1598	103	2	18	CARDINAL
ejpam-1598	104	1	1	CARDINAL
ejpam-1598	104	2	two	CARDINAL
ejpam-1598	106	1	abc	ORG
ejpam-1598	108	1	zeros 0s	CARDINAL
ejpam-1598	108	2	0	CARDINAL
ejpam-1598	108	3	0s	CARDINAL
ejpam-1598	109	1	0	CARDINAL
ejpam-1598	112	1	zero	CARDINAL
ejpam-1598	112	2	0	CARDINAL
ejpam-1598	113	1	zero	CARDINAL
ejpam-1598	114	1	3	CARDINAL
ejpam-1598	115	1	∈	ORG
ejpam-1598	117	1	annihilator rs(m	PERSON
ejpam-1598	118	1	t. dutta	ORG
ejpam-1598	118	2	k. shum	PERSON
ejpam-1598	118	3	s. mandal / eur	PERSON
ejpam-1598	119	1	j. pure	PERSON
ejpam-1598	119	2	5	CARDINAL
ejpam-1598	119	3	2012	DATE
ejpam-1598	119	4	116	CARDINAL
ejpam-1598	119	5	120	CARDINAL
ejpam-1598	119	6	3	CARDINAL
ejpam-1598	122	1	0s	CARDINAL
ejpam-1598	122	2	∈	ORG
ejpam-1598	123	1	∈	ORG
ejpam-1598	124	1	∈	ORG
ejpam-1598	125	1	∈	ORG
ejpam-1598	125	2	∈	ORG
ejpam-1598	126	1	0	CARDINAL
ejpam-1598	126	2	∈	ORG
ejpam-1598	127	1	∈	ORG
ejpam-1598	128	1	∈	ORG
ejpam-1598	128	2	∈	ORG
ejpam-1598	130	1	∈	ORG
ejpam-1598	130	2	4	CARDINAL
ejpam-1598	130	3	m. proof	PERSON
ejpam-1598	131	1	0	CARDINAL
ejpam-1598	132	1	s. so zs(m	ORG
ejpam-1598	134	1	two	CARDINAL
ejpam-1598	134	2	∩ rs(m2	PERSON
ejpam-1598	134	3	s. let h	ORG
ejpam-1598	134	4	s.	ORG
ejpam-1598	134	5	∩ rs(m2	PERSON
ejpam-1598	134	6	⊆	CARDINAL
ejpam-1598	134	7	+m2	PERSON
ejpam-1598	134	8	∩	PERSON
ejpam-1598	134	9	rs(m1+m2	ORG
ejpam-1598	135	1	rs(m1+m2	ORG
ejpam-1598	135	2	m1 +m2 ∈ zs(m	PRODUCT
ejpam-1598	136	1	s. let h	ORG
ejpam-1598	136	2	s.	ORG
ejpam-1598	136	3	0	CARDINAL
ejpam-1598	136	4	⊆	CARDINAL
ejpam-1598	137	1	0	CARDINAL
ejpam-1598	139	1	∩	PERSON
ejpam-1598	139	2	6=	DATE
ejpam-1598	139	3	∈ rs(ms1s2)∩h	ORG
ejpam-1598	139	4	0	CARDINAL
ejpam-1598	141	1	m.	PERSON
ejpam-1598	142	1	19	DATE
ejpam-1598	143	1	z(s	GPE
ejpam-1598	143	2	z(s	GPE
ejpam-1598	144	1	∈	ORG
ejpam-1598	145	1	6=	DATE
ejpam-1598	145	2	0	CARDINAL
ejpam-1598	147	1	1	CARDINAL
ejpam-1598	150	1	2	CARDINAL
ejpam-1598	152	1	3	CARDINAL
ejpam-1598	153	1	4	CARDINAL
ejpam-1598	155	1	t. dutta	PERSON
ejpam-1598	155	2	k. shum	PERSON
ejpam-1598	155	3	s. mandal / eur	PERSON
ejpam-1598	156	1	j. pure	PERSON
ejpam-1598	156	2	5	CARDINAL
ejpam-1598	156	3	2012	DATE
ejpam-1598	156	4	116	CARDINAL
ejpam-1598	159	1	z(s	GPE
ejpam-1598	159	2	s. proof.	ORG
ejpam-1598	160	1	4	CARDINAL
ejpam-1598	160	2	z(s	GPE
ejpam-1598	160	3	s.	PERSON
ejpam-1598	160	4	s.	PERSON
ejpam-1598	161	1	∩	PERSON
ejpam-1598	161	2	6=	CARDINAL
ejpam-1598	161	3	⊆	CARDINAL
ejpam-1598	162	1	6=	CARDINAL
ejpam-1598	162	2	∩	PERSON
ejpam-1598	162	3	⊆	CARDINAL
ejpam-1598	162	4	∩ h.	PERSON
ejpam-1598	162	5	0	CARDINAL
ejpam-1598	163	1	∈ z(s	ORG
ejpam-1598	164	1	z(s	GPE
ejpam-1598	164	2	s. next	ORG
ejpam-1598	165	1	⊆	CARDINAL
ejpam-1598	165	2	⊆	CARDINAL
ejpam-1598	166	1	6=	CARDINAL
ejpam-1598	167	1	6=	CARDINAL
ejpam-1598	167	2	s.	PERSON
ejpam-1598	168	1	s2h1s3	GPE
ejpam-1598	168	2	6=	DATE
ejpam-1598	168	3	6=	DATE
ejpam-1598	168	4	6=	CARDINAL
ejpam-1598	168	5	0	CARDINAL
ejpam-1598	168	6	∈ s.	PERSON
ejpam-1598	169	1	∈	ORG
ejpam-1598	169	2	∈	ORG
ejpam-1598	169	3	⊆	CARDINAL
ejpam-1598	170	1	s2h1s3	GPE
ejpam-1598	170	2	0	CARDINAL
ejpam-1598	171	1	6=	CARDINAL
ejpam-1598	171	2	6=	CARDINAL
ejpam-1598	172	1	∈ z(s	ORG
ejpam-1598	173	1	z(s	GPE
ejpam-1598	173	2	z(s	GPE
ejpam-1598	173	3	s.	PERSON
ejpam-1598	174	1	6=	CARDINAL
ejpam-1598	174	2	6=	CARDINAL
ejpam-1598	174	3	0=	CARDINAL
ejpam-1598	174	4	∈	ORG
ejpam-1598	175	1	∩ h i.e. rs(b	ORG
ejpam-1598	175	2	∩	ORG
ejpam-1598	175	3	0	CARDINAL
ejpam-1598	176	1	∈ z(s	ORG
ejpam-1598	177	1	z(s	GPE
ejpam-1598	177	2	s. remark 1.	ORG
ejpam-1598	178	1	z(s	GPE
ejpam-1598	178	2	z(s	GPE
ejpam-1598	178	3	2	CARDINAL
ejpam-1598	179	1	nonsingular semiprime	EVENT
ejpam-1598	179	2	2	CARDINAL
ejpam-1598	181	1	z(s	GPE
ejpam-1598	187	1	∈ z(s	ORG
ejpam-1598	187	2	j = rs(x	PERSON
ejpam-1598	188	1	s.	ORG
ejpam-1598	188	2	xjs	ORG
ejpam-1598	190	1	0	CARDINAL
ejpam-1598	193	1	⊆	CARDINAL
ejpam-1598	194	1	s.	ORG
ejpam-1598	195	1	⊆	CARDINAL
ejpam-1598	195	2	∈ z(s	ORG
ejpam-1598	198	1	z(s	GPE
ejpam-1598	200	1	k. shum	PERSON
ejpam-1598	200	2	s. mandal / eur	PERSON
ejpam-1598	201	1	j. pure	PERSON
ejpam-1598	201	2	5	CARDINAL
ejpam-1598	201	3	2012	DATE
ejpam-1598	201	4	116	CARDINAL
ejpam-1598	205	1	6	CARDINAL
ejpam-1598	206	1	j = rs(x	PERSON
ejpam-1598	207	1	s.	PERSON
ejpam-1598	207	2	∈	ORG
ejpam-1598	210	1	b)s	GPE
ejpam-1598	212	1	j	PERSON
ejpam-1598	212	2	s.	ORG
ejpam-1598	212	3	xjs	ORG
ejpam-1598	212	4	0	CARDINAL
ejpam-1598	213	1	∈	ORG
ejpam-1598	213	2	z(s)⊆ z	ORG
ejpam-1598	215	1	20	CARDINAL
ejpam-1598	216	1	z(s	GPE
ejpam-1598	217	1	z(s	GPE
ejpam-1598	224	1	0	CARDINAL
ejpam-1598	226	1	s. hence a ∈ z(s	ORG
ejpam-1598	227	1	z(s	GPE
ejpam-1598	229	1	0	CARDINAL
ejpam-1598	231	1	21	DATE
ejpam-1598	232	1	5	CARDINAL
ejpam-1598	232	2	∈	ORG
ejpam-1598	232	3	n(depending	LANGUAGE
ejpam-1598	232	4	0	CARDINAL
ejpam-1598	233	1	22	DATE
ejpam-1598	236	1	9	CARDINAL
ejpam-1598	239	1	6=	DATE
ejpam-1598	239	2	0	CARDINAL
ejpam-1598	239	3	6=	CARDINAL
ejpam-1598	240	1	n(depending	LANGUAGE
ejpam-1598	240	2	0	CARDINAL
ejpam-1598	240	3	0	CARDINAL
ejpam-1598	241	1	a(ea)n	GPE
ejpam-1598	241	2	0	CARDINAL
ejpam-1598	242	1	0	CARDINAL
ejpam-1598	243	1	∈	ORG
ejpam-1598	244	1	∈	ORG
ejpam-1598	244	2	0⇒	CARDINAL
ejpam-1598	244	3	0	CARDINAL
ejpam-1598	245	1	∩	PERSON
ejpam-1598	245	2	6=	CARDINAL
ejpam-1598	247	1	z(s	GPE
ejpam-1598	249	1	23	CARDINAL
ejpam-1598	250	1	12	CARDINAL
ejpam-1598	250	2	∈	ORG
ejpam-1598	250	3	f2	ORG
ejpam-1598	251	1	1	CARDINAL
ejpam-1598	254	1	∈	ORG
ejpam-1598	255	1	t. dutta	PERSON
ejpam-1598	255	2	k. shum	PERSON
ejpam-1598	255	3	s. mandal / eur	PERSON
ejpam-1598	256	1	j. pure	PERSON
ejpam-1598	256	2	5	CARDINAL
ejpam-1598	256	3	2012	DATE
ejpam-1598	256	4	116	CARDINAL
ejpam-1598	257	1	1,2	CARDINAL
ejpam-1598	261	1	i=1 ei x	PERSON
ejpam-1598	265	1	f2	ORG
ejpam-1598	265	2	1,2	CARDINAL
ejpam-1598	268	1	1,2	CARDINAL
ejpam-1598	272	1	∈	ORG
ejpam-1598	274	1	0	CARDINAL
ejpam-1598	274	2	10	CARDINAL
ejpam-1598	277	1	z(s	GPE
ejpam-1598	278	1	z(s	GPE
ejpam-1598	278	2	s. since s	ORG
ejpam-1598	278	3	1	CARDINAL
ejpam-1598	280	1	z(s	GPE
ejpam-1598	281	1	0 i.e. rs(t1)∩ rs(t2)∩	CARDINAL
ejpam-1598	284	1	0	CARDINAL
ejpam-1598	285	1	1,2	CARDINAL
ejpam-1598	287	1	k. therefore rs(f	PERSON
ejpam-1598	287	2	s. consequently	PERSON
ejpam-1598	287	3	0	CARDINAL
ejpam-1598	290	1	24	DATE
ejpam-1598	292	1	0	CARDINAL
ejpam-1598	293	1	25	DATE
ejpam-1598	296	1	11	CARDINAL
ejpam-1598	299	1	∈	ORG
ejpam-1598	299	2	∈	ORG
ejpam-1598	302	1	0	CARDINAL
ejpam-1598	303	1	0	CARDINAL
ejpam-1598	304	1	0	CARDINAL
ejpam-1598	304	2	xssxsxs	PERSON
ejpam-1598	304	3	0	CARDINAL
ejpam-1598	307	1	0	CARDINAL
ejpam-1598	311	1	0	CARDINAL
ejpam-1598	313	1	0	CARDINAL
ejpam-1598	314	1	rs(a)∩	GPE
ejpam-1598	314	2	0	CARDINAL
ejpam-1598	315	1	∈	ORG
ejpam-1598	315	2	z(s	GPE
ejpam-1598	316	1	0	CARDINAL
ejpam-1598	317	1	2	CARDINAL
ejpam-1598	321	1	xα)α∈λ	CARDINAL
ejpam-1598	321	2	∈	ORG
ejpam-1598	321	3	⇔	PERSON
ejpam-1598	321	4	∈	ORG
ejpam-1598	321	5	∈	ORG
ejpam-1598	321	6	0α	CARDINAL
ejpam-1598	321	7	∈	ORG
ejpam-1598	321	8	∈	ORG
ejpam-1598	323	1	∈	ORG
ejpam-1598	325	1	t. dutta	PERSON
ejpam-1598	325	2	k. shum	PERSON
ejpam-1598	325	3	s. mandal / eur	PERSON
ejpam-1598	326	1	j. pure	PERSON
ejpam-1598	326	2	5	CARDINAL
ejpam-1598	326	3	2012	DATE
ejpam-1598	326	4	116	CARDINAL
ejpam-1598	326	5	3	CARDINAL
ejpam-1598	328	1	∏	CARDINAL
ejpam-1598	333	1	⊆	CARDINAL
ejpam-1598	334	1	aα)α∈λ	CARDINAL
ejpam-1598	335	1	∈	ORG
ejpam-1598	337	1	1,2	CARDINAL
ejpam-1598	339	1	i=1	GPE
ejpam-1598	339	2	∏	CARDINAL
ejpam-1598	341	1	aα)α∈λ	CARDINAL
ejpam-1598	341	2	∏	CARDINAL
ejpam-1598	342	1	12	CARDINAL
ejpam-1598	343	1	⊕	PERSON
ejpam-1598	343	2	⊕	PERSON
ejpam-1598	347	1	rs((xα)α∈λ	GPE
ejpam-1598	348	1	∏ α∈λ	PERCENT
ejpam-1598	348	2	6=	CARDINAL
ejpam-1598	348	3	6=	CARDINAL
ejpam-1598	348	4	lemma 2	ORG
ejpam-1598	349	1	6= 0α	CARDINAL
ejpam-1598	351	1	⊆	CARDINAL
ejpam-1598	351	2	0α	CARDINAL
ejpam-1598	352	1	6= 0α	CARDINAL
ejpam-1598	354	1	∏	GPE
ejpam-1598	354	2	rs((xα)α∈λ)∩	ORG
ejpam-1598	355	1	∏ α∈λ−i	ORG
ejpam-1598	357	1	z(sα)⇒ xα	PERSON
ejpam-1598	359	1	s. now	ORG
ejpam-1598	360	1	at least one	CARDINAL
ejpam-1598	361	1	3	CARDINAL
ejpam-1598	362	1	6= 0α	CARDINAL
ejpam-1598	362	2	at least one	CARDINAL
ejpam-1598	362	3	6=	CARDINAL
ejpam-1598	362	4	6=	CARDINAL
ejpam-1598	362	5	0α)α∈λ⇒	CARDINAL
ejpam-1598	363	1	t. dutta	PERSON
ejpam-1598	363	2	k. shum	PERSON
ejpam-1598	363	3	s. mandal / eur	PERSON
ejpam-1598	364	1	j. pure	PERSON
ejpam-1598	364	2	5	CARDINAL
ejpam-1598	364	3	2012	DATE
ejpam-1598	364	4	116	CARDINAL
ejpam-1598	364	5	128 125	CARDINAL
ejpam-1598	364	6	z(s	GPE
ejpam-1598	365	1	⊕	PERSON
ejpam-1598	365	2	⊕	PERSON
ejpam-1598	367	1	1	CARDINAL
ejpam-1598	369	1	26	CARDINAL
ejpam-1598	370	1	0	CARDINAL
ejpam-1598	371	1	4	CARDINAL
ejpam-1598	372	1	z(s	GPE
ejpam-1598	377	1	γ(s	ORG
ejpam-1598	379	1	0	CARDINAL
ejpam-1598	381	1	∈	ORG
ejpam-1598	381	2	γ(b) ∈ h ′	ORG
ejpam-1598	385	1	∈	ORG
ejpam-1598	385	2	∈	ORG
ejpam-1598	385	3	∈	ORG
ejpam-1598	385	4	0	CARDINAL
ejpam-1598	386	1	γ(h	ORG
ejpam-1598	386	2	γ(h	ORG
ejpam-1598	386	3	h ′	DATE
ejpam-1598	386	4	γ(h	ORG
ejpam-1598	387	1	0	CARDINAL
ejpam-1598	388	1	0	CARDINAL
ejpam-1598	391	1	5	CARDINAL
ejpam-1598	393	1	z(s	GPE
ejpam-1598	394	1	= s. proof	PERSON
ejpam-1598	395	1	z(s	GPE
ejpam-1598	396	1	⊂ s.	PERSON
ejpam-1598	396	2	6=	DATE
ejpam-1598	396	3	6∈	CARDINAL
ejpam-1598	397	1	0	CARDINAL
ejpam-1598	398	1	γ(h	ORG
ejpam-1598	398	2	γ(s	PRODUCT
ejpam-1598	399	1	6=	DATE
ejpam-1598	399	2	γ(s	PRODUCT
ejpam-1598	401	1	0⇒	CARDINAL
ejpam-1598	401	2	γ(s	PRODUCT
ejpam-1598	403	1	0	CARDINAL
ejpam-1598	404	1	6=	DATE
ejpam-1598	404	2	h′	PERSON
ejpam-1598	404	3	6=	DATE
ejpam-1598	406	1	h′	PERSON
ejpam-1598	406	2	0	CARDINAL
ejpam-1598	407	1	t′	CARDINAL
ejpam-1598	407	2	0	CARDINAL
ejpam-1598	407	3	∈	ORG
ejpam-1598	407	4	h′ ∈ γ(h	ORG
ejpam-1598	409	1	t′	CARDINAL
ejpam-1598	409	2	0	CARDINAL
ejpam-1598	409	3	∈	ORG
ejpam-1598	410	1	∈	ORG
ejpam-1598	410	2	∈	ORG
ejpam-1598	411	1	γ(h	ORG
ejpam-1598	412	1	0	CARDINAL
ejpam-1598	414	1	z(s	GPE
ejpam-1598	416	1	s. lemma 6	PERSON
ejpam-1598	417	1	0	CARDINAL
ejpam-1598	417	2	z(s	GPE
ejpam-1598	420	1	z(s	GPE
ejpam-1598	421	1	6=	DATE
ejpam-1598	421	2	s ∈ z(s	ORG
ejpam-1598	422	1	γ(s	PRODUCT
ejpam-1598	423	1	6=	DATE
ejpam-1598	423	2	γ(s	PRODUCT
ejpam-1598	425	1	0⇒	CARDINAL
ejpam-1598	425	2	0	CARDINAL
ejpam-1598	426	1	γ(s	PRODUCT
ejpam-1598	426	2	6∈	CARDINAL
ejpam-1598	430	1	0	CARDINAL
ejpam-1598	430	2	γ(s	PRODUCT
ejpam-1598	431	1	∈	ORG
ejpam-1598	432	1	∩	PERSON
ejpam-1598	432	2	0	CARDINAL
ejpam-1598	434	1	∈	ORG
ejpam-1598	434	2	∈	ORG
ejpam-1598	434	3	∈	ORG
ejpam-1598	435	1	0	CARDINAL
ejpam-1598	438	1	γ(h	ORG
ejpam-1598	438	2	0	CARDINAL
ejpam-1598	439	1	0	CARDINAL
ejpam-1598	440	1	0	CARDINAL
ejpam-1598	441	1	z(s	GPE
ejpam-1598	442	1	0	CARDINAL
ejpam-1598	443	1	7	CARDINAL
ejpam-1598	444	1	z(s	GPE
ejpam-1598	446	1	0	CARDINAL
ejpam-1598	447	1	t. dutta	PERSON
ejpam-1598	447	2	k. shum	PERSON
ejpam-1598	447	3	s. mandal / eur	PERSON
ejpam-1598	448	1	j. pure	PERSON
ejpam-1598	448	2	5	CARDINAL
ejpam-1598	448	3	2012	DATE
ejpam-1598	448	4	116	CARDINAL
ejpam-1598	449	1	6=	DATE
ejpam-1598	449	2	6=	CARDINAL
ejpam-1598	449	3	∈	ORG
ejpam-1598	450	1	γ	GPE
ejpam-1598	450	2	γ(s	ORG
ejpam-1598	451	1	z(s	GPE
ejpam-1598	452	1	6∈	CARDINAL
ejpam-1598	453	1	∩	PERSON
ejpam-1598	453	2	0	CARDINAL
ejpam-1598	454	1	γ(h	ORG
ejpam-1598	454	2	∩ γ(h	PERSON
ejpam-1598	455	1	0	CARDINAL
ejpam-1598	456	1	∩ γ(h	PERSON
ejpam-1598	456	2	6=	DATE
ejpam-1598	456	3	h′	PERSON
ejpam-1598	456	4	6=	DATE
ejpam-1598	458	1	h′	PERSON
ejpam-1598	458	2	0	CARDINAL
ejpam-1598	459	1	t′	CARDINAL
ejpam-1598	459	2	0	CARDINAL
ejpam-1598	459	3	∈	ORG
ejpam-1598	459	4	h′ ∈ γ(h	ORG
ejpam-1598	461	1	t′	CARDINAL
ejpam-1598	461	2	0	CARDINAL
ejpam-1598	461	3	∈	ORG
ejpam-1598	462	1	∈	ORG
ejpam-1598	462	2	∈	ORG
ejpam-1598	462	3	∩	PERSON
ejpam-1598	463	1	∩ γ(h	PERSON
ejpam-1598	464	1	0	CARDINAL
ejpam-1598	467	1	0	CARDINAL
ejpam-1598	467	2	2	CARDINAL
ejpam-1598	468	1	two	CARDINAL
ejpam-1598	471	1	13	CARDINAL
ejpam-1598	472	1	z(i	GPE
ejpam-1598	475	1	0	CARDINAL
ejpam-1598	475	2	0	CARDINAL
ejpam-1598	478	1	0	CARDINAL
ejpam-1598	479	1	⊆	CARDINAL
ejpam-1598	479	2	⊆	CARDINAL
ejpam-1598	482	1	0	CARDINAL
ejpam-1598	485	1	0 6=	CARDINAL
ejpam-1598	485	2	∈	ORG
ejpam-1598	492	1	∈	ORG
ejpam-1598	497	1	0	CARDINAL
ejpam-1598	498	1	aii1 ∈	ORG
ejpam-1598	500	1	aii1 ∈	ORG
ejpam-1598	500	2	⊆	CARDINAL
ejpam-1598	502	1	aii1 ∈	ORG
ejpam-1598	503	1	6=	CARDINAL
ejpam-1598	505	1	∈	ORG
ejpam-1598	508	1	z(i	PERSON
ejpam-1598	508	2	⊆	CARDINAL
ejpam-1598	511	1	s. hence	ORG
ejpam-1598	512	1	⊆	CARDINAL
ejpam-1598	512	2	6=	CARDINAL
ejpam-1598	512	3	0	CARDINAL
ejpam-1598	516	1	z(i	PERSON
ejpam-1598	517	1	3	CARDINAL
ejpam-1598	520	1	13	CARDINAL
ejpam-1598	521	1	1	CARDINAL
ejpam-1598	524	1	3	CARDINAL
ejpam-1598	525	1	14	CARDINAL
ejpam-1598	528	1	i.	PERSON
ejpam-1598	529	1	127	CARDINAL
ejpam-1598	529	2	4	CARDINAL
ejpam-1598	532	1	φ(s	GPE
ejpam-1598	533	1	φ(s	GPE
ejpam-1598	533	2	φ(s	GPE
ejpam-1598	536	1	14	DATE
ejpam-1598	538	1	j ∈	PERSON
ejpam-1598	540	1	3	CARDINAL
ejpam-1598	545	1	13	CARDINAL
ejpam-1598	546	1	z(i	GPE
ejpam-1598	548	1	t.k. dutta	PERSON
ejpam-1598	548	2	m. l. das	PERSON
ejpam-1598	548	3	9	CARDINAL
ejpam-1598	553	1	l. a. shemetkov	PERSON
ejpam-1598	553	2	16	CARDINAL
ejpam-1598	554	1	l.a	GPE
ejpam-1598	554	2	shemetkov	PERSON
ejpam-1598	554	3	a. n. skiba	PERSON
ejpam-1598	555	1	17	CARDINAL
ejpam-1598	557	1	third	ORDINAL
ejpam-1598	557	2	csir	GPE
ejpam-1598	557	3	india	GPE
ejpam-1598	558	1	1	CARDINAL
ejpam-1598	558	2	t. k. dutta	PERSON
ejpam-1598	558	3	s. kar	PERSON
ejpam-1598	559	1	icm	ORG
ejpam-1598	559	2	343 355	CARDINAL
ejpam-1598	559	3	2003	DATE
ejpam-1598	560	1	2	CARDINAL
ejpam-1598	560	2	t. k. dutta	PERSON
ejpam-1598	560	3	s. kar	PERSON
ejpam-1598	561	1	bull.	ORG
ejpam-1598	565	1	97	CARDINAL
ejpam-1598	566	1	5	CARDINAL
ejpam-1598	566	2	445 454	CARDINAL
ejpam-1598	567	1	2005	DATE
ejpam-1598	568	1	128	CARDINAL
ejpam-1598	568	2	3	CARDINAL
ejpam-1598	568	3	s. mandal	PERSON
ejpam-1598	569	1	algebraic structure	ORG
ejpam-1598	569	2	world scientific,inc.	ORG
ejpam-1598	569	3	219	CARDINAL
ejpam-1598	569	4	2010	DATE
ejpam-1598	570	1	4	CARDINAL
ejpam-1598	570	2	t. k. dutta	PERSON
ejpam-1598	570	3	s. kar	PERSON
ejpam-1598	571	1	bull.	ORG
ejpam-1598	575	1	97	CARDINAL
ejpam-1598	575	2	5	CARDINAL
ejpam-1598	575	3	467 476	CARDINAL
ejpam-1598	576	1	2005	DATE
ejpam-1598	577	1	5	CARDINAL
ejpam-1598	577	2	t. k. dutta	PERSON
ejpam-1598	577	3	s. kar	PERSON
ejpam-1598	578	1	discussiones mathematicae	ORG
ejpam-1598	578	2	24	CARDINAL
ejpam-1598	578	3	185 198	CARDINAL
ejpam-1598	578	4	2004	DATE
ejpam-1598	579	1	6	CARDINAL
ejpam-1598	579	2	t. k. dutta	PERSON
ejpam-1598	579	3	s. kar	PERSON
ejpam-1598	580	1	southeast asian	NORP
ejpam-1598	582	1	28	CARDINAL
ejpam-1598	582	2	1	CARDINAL
ejpam-1598	582	3	1 13. 2004	DATE
ejpam-1598	583	1	7	CARDINAL
ejpam-1598	583	2	k. p. shum	PERSON
ejpam-1598	583	3	s. mandal.	PERSON
ejpam-1598	585	1	2012	DATE
ejpam-1598	586	1	8	CARDINAL
ejpam-1598	586	2	t. k. dutta	PERSON
ejpam-1598	586	3	s. kar	PERSON
ejpam-1598	587	1	two	CARDINAL
ejpam-1598	587	2	jacobson	PERSON
ejpam-1598	587	3	southeast asian	NORP
ejpam-1598	589	1	29	CARDINAL
ejpam-1598	589	2	4	CARDINAL
ejpam-1598	589	3	677 687	CARDINAL
ejpam-1598	590	1	2005	DATE
ejpam-1598	591	1	9	CARDINAL
ejpam-1598	591	2	m. l. das	PERSON
ejpam-1598	591	3	southeast asian	NORP
ejpam-1598	594	1	34	CARDINAL
ejpam-1598	594	2	405	CARDINAL
ejpam-1598	595	1	2010	DATE
ejpam-1598	596	1	10	CARDINAL
ejpam-1598	596	2	m. ferrero	PERSON
ejpam-1598	596	3	e. r. puczylowski	PERSON
ejpam-1598	597	1	j. austral	ORG
ejpam-1598	600	1	64	DATE
ejpam-1598	600	2	195	CARDINAL
ejpam-1598	601	1	1998	DATE
ejpam-1598	602	1	11	CARDINAL
ejpam-1598	602	2	s. kar	PERSON
ejpam-1598	603	1	southeast asian	NORP
ejpam-1598	605	1	31	CARDINAL
ejpam-1598	605	2	3	CARDINAL
ejpam-1598	605	3	537 545	CARDINAL
ejpam-1598	606	1	2007	DATE
ejpam-1598	607	1	12	CARDINAL
ejpam-1598	607	2	s. kar	PERSON
ejpam-1598	607	3	j. sircar	PERSON
ejpam-1598	607	4	s. mandal.	PERSON
ejpam-1598	608	1	east-west j.	LOC
ejpam-1598	608	2	12	CARDINAL
ejpam-1598	608	3	1	CARDINAL
ejpam-1598	608	4	59 68. 2010	DATE
ejpam-1598	609	1	13	CARDINAL
ejpam-1598	609	2	d. h. lehmer	ORG
ejpam-1598	610	1	abelian	NORP
ejpam-1598	610	2	amer	PERSON
ejpam-1598	611	1	j. math	PERSON
ejpam-1598	611	2	329	CARDINAL
ejpam-1598	611	3	1932	DATE
ejpam-1598	612	1	14	CARDINAL
ejpam-1598	612	2	w. g. lister	PERSON
ejpam-1598	614	1	amer	PERSON
ejpam-1598	616	1	154	CARDINAL
ejpam-1598	616	2	37	CARDINAL
ejpam-1598	617	1	1971	DATE
ejpam-1598	618	1	15	CARDINAL
ejpam-1598	619	1	s. j. lö	PERSON
ejpam-1598	620	1	fundamenta mathematicae	ORG
ejpam-1598	621	1	,42	ORG
ejpam-1598	621	2	38	CARDINAL
ejpam-1598	622	1	1955	DATE
ejpam-1598	623	1	16	CARDINAL
ejpam-1598	623	2	l. a. shemetkov	PERSON
ejpam-1598	624	1	no.4	GPE
ejpam-1598	624	2	russian	NORP
ejpam-1598	624	3	gomel	GPE
ejpam-1598	624	4	65-67	CARDINAL
ejpam-1598	624	5	russian	NORP
ejpam-1598	624	6	minsk	GPE
ejpam-1598	624	7	1986,1989	DATE
ejpam-1598	625	1	17	CARDINAL
ejpam-1598	625	2	a. n. skiba	PERSON
ejpam-1598	625	3	l. a. shemetkov	PERSON
ejpam-1598	626	1	groups(russian	NORP
ejpam-1598	626	2	akad	PERSON
ejpam-1598	627	1	33	DATE
ejpam-1598	627	2	7	CARDINAL
ejpam-1598	627	3	581	CARDINAL
ejpam-1598	627	4	1989	DATE