id	sid	eid	entity	type
ejpam-1242	1	1	6_xxx_tekir.dvi	CARDINAL
ejpam-1242	1	2	european	NORP
ejpam-1242	2	1	4	CARDINAL
ejpam-1242	2	2	3, 2011	DATE
ejpam-1242	2	3	251	CARDINAL
ejpam-1242	2	4	semimodules shahabaddin ebrahimi atani1	PERSON
ejpam-1242	2	5	reza ebrahimi atani2	PERSON
ejpam-1242	2	6	1	CARDINAL
ejpam-1242	2	7	university of guilan	ORG
ejpam-1242	2	8	1914	DATE
ejpam-1242	2	9	iran	GPE
ejpam-1242	2	10	2	CARDINAL
ejpam-1242	2	11	university of guilan	ORG
ejpam-1242	2	12	p.o.	GPE
ejpam-1242	2	13	3756	CARDINAL
ejpam-1242	2	14	iran 3	FAC
ejpam-1242	2	15	istanbul	GPE
ejpam-1242	2	16	turkey	GPE
ejpam-1242	5	1	2000	CARDINAL
ejpam-1242	5	2	16y60	CARDINAL
ejpam-1242	5	3	1	CARDINAL
ejpam-1242	7	1	golan	PERSON
ejpam-1242	7	2	16	CARDINAL
ejpam-1242	8	1	17	CARDINAL
ejpam-1242	8	2	weinert	PERSON
ejpam-1242	9	1	18	CARDINAL
ejpam-1242	9	2	23	CARDINAL
ejpam-1242	13	1	14	CARDINAL
ejpam-1242	15	1	algebraic geometry	ORG
ejpam-1242	17	1	251	CARDINAL
ejpam-1242	17	2	2011	DATE
ejpam-1242	18	1	s. atani	PERSON
ejpam-1242	18	2	r. atrani	PERSON
ejpam-1242	19	1	j. pure	PERSON
ejpam-1242	19	2	4 (2011	DATE
ejpam-1242	19	3	251	CARDINAL
ejpam-1242	20	1	lu[19	NORP
ejpam-1242	21	1	20	CARDINAL
ejpam-1242	22	1	21	CARDINAL
ejpam-1242	22	2	moore	PERSON
ejpam-1242	23	1	22	CARDINAL
ejpam-1242	25	1	two	CARDINAL
ejpam-1242	26	1	section 3	LAW
ejpam-1242	28	1	section 4	LAW
ejpam-1242	31	1	2	CARDINAL
ejpam-1242	33	1	monoid	ORG
ejpam-1242	33	2	16	CARDINAL
ejpam-1242	33	3	18	DATE
ejpam-1242	33	4	13	DATE
ejpam-1242	33	5	7	CARDINAL
ejpam-1242	35	1	1	CARDINAL
ejpam-1242	36	1	1	CARDINAL
ejpam-1242	36	2	k-subsemimodule	ORG
ejpam-1242	37	1	y ∈ n	ORG
ejpam-1242	37	2	0	CARDINAL
ejpam-1242	38	1	2	CARDINAL
ejpam-1242	40	1	3	CARDINAL
ejpam-1242	40	2	m. (4)	ORG
ejpam-1242	40	3	m.	PERSON
ejpam-1242	41	1	semiprime k-subsemimodule	PERSON
ejpam-1242	41	2	m.	PERSON
ejpam-1242	41	3	5	CARDINAL
ejpam-1242	41	4	⊆	CARDINAL
ejpam-1242	41	5	⊆	CARDINAL
ejpam-1242	41	6	6	CARDINAL
ejpam-1242	42	1	m. s. atani	PERSON
ejpam-1242	42	2	r. atrani	PERSON
ejpam-1242	43	1	j. pure	PERSON
ejpam-1242	43	2	4 (2011	DATE
ejpam-1242	43	3	251	CARDINAL
ejpam-1242	43	4	7	CARDINAL
ejpam-1242	43	5	zero	CARDINAL
ejpam-1242	43	6	∈	ORG
ejpam-1242	43	7	0	CARDINAL
ejpam-1242	43	8	14	CARDINAL
ejpam-1242	43	9	2.3	CARDINAL
ejpam-1242	44	1	11	CARDINAL
ejpam-1242	46	1	allen	PERSON
ejpam-1242	47	1	1	CARDINAL
ejpam-1242	49	1	r1 ∼ r2	ORG
ejpam-1242	49	2	∈	ORG
ejpam-1242	51	1	golan	PERSON
ejpam-1242	56	1	multiplicative	NORP
ejpam-1242	56	2	1+	CARDINAL
ejpam-1242	57	1	golan	PERSON
ejpam-1242	57	2	16	CARDINAL
ejpam-1242	58	1	golan	PERSON
ejpam-1242	59	1	13	CARDINAL
ejpam-1242	60	1	q1,q2 ∈ qm	PERSON
ejpam-1242	62	1	⊙	ORG
ejpam-1242	62	2	q3 ∈ qm	PERSON
ejpam-1242	62	3	⊙	LAW
ejpam-1242	62	4	∈	ORG
ejpam-1242	62	5	q4 ∈ qm	PERSON
ejpam-1242	62	6	rq1 + n ⊆	ORG
ejpam-1242	64	1	7	CARDINAL
ejpam-1242	64	2	2.3	CARDINAL
ejpam-1242	65	1	zero	CARDINAL
ejpam-1242	65	2	m/n	FAC
ejpam-1242	66	1	7	CARDINAL
ejpam-1242	66	2	7	CARDINAL
ejpam-1242	66	3	2.6	CARDINAL
ejpam-1242	67	1	1	CARDINAL
ejpam-1242	68	1	∑ i∈λmi	PERSON
ejpam-1242	68	2	i∈λmi	PERSON
ejpam-1242	68	3	m. 3	ORG
ejpam-1242	71	1	2	CARDINAL
ejpam-1242	75	1	∈	ORG
ejpam-1242	76	1	r(q + n	LOC
ejpam-1242	80	1	⊆	CARDINAL
ejpam-1242	81	1	∈	ORG
ejpam-1242	81	2	∈	ORG
ejpam-1242	82	1	n ∈ n	PRODUCT
ejpam-1242	82	2	aq1 + n ⊆ q2	ORG
ejpam-1242	83	1	aq1 ∈	ORG
ejpam-1242	84	1	∈	ORG
ejpam-1242	84	2	∈	ORG
ejpam-1242	85	1	s. atani	PERSON
ejpam-1242	85	2	r. atrani	PERSON
ejpam-1242	86	1	j. pure	PERSON
ejpam-1242	86	2	4 (2011	DATE
ejpam-1242	86	3	251	CARDINAL
ejpam-1242	86	4	1	CARDINAL
ejpam-1242	87	1	one	CARDINAL
ejpam-1242	88	1	k-subsemimodule	ORG
ejpam-1242	89	1	7	CARDINAL
ejpam-1242	89	2	3.6	CARDINAL
ejpam-1242	89	3	m/n	FAC
ejpam-1242	92	1	∈	ORG
ejpam-1242	92	2	aq1 + n	ORG
ejpam-1242	92	3	aq1 ∈	ORG
ejpam-1242	93	1	∈	ORG
ejpam-1242	93	2	∈	ORG
ejpam-1242	93	3	lemma 2.	ORG
ejpam-1242	94	1	k-subsemimodule	ORG
ejpam-1242	94	2	m/n	FAC
ejpam-1242	95	1	k-subsemimodule	ORG
ejpam-1242	95	2	m/n	FAC
ejpam-1242	96	1	k-subsemimodule	ORG
ejpam-1242	96	2	∈	ORG
ejpam-1242	96	3	∈	ORG
ejpam-1242	98	1	n ∈ n	PRODUCT
ejpam-1242	98	2	rn ∈	ORG
ejpam-1242	100	1	r(q+ n	PERSON
ejpam-1242	101	1	q+ n ∈	ORG
ejpam-1242	101	2	∈	ORG
ejpam-1242	101	3	∈	ORG
ejpam-1242	103	1	1	CARDINAL
ejpam-1242	104	1	one	CARDINAL
ejpam-1242	106	1	1	CARDINAL
ejpam-1242	106	2	2	CARDINAL
ejpam-1242	108	1	0	CARDINAL
ejpam-1242	109	1	1	CARDINAL
ejpam-1242	109	2	1	CARDINAL
ejpam-1242	110	1	2	CARDINAL
ejpam-1242	110	2	6	CARDINAL
ejpam-1242	111	1	16	CARDINAL
ejpam-1242	111	2	151	CARDINAL
ejpam-1242	111	3	2̄	CARDINAL
ejpam-1242	111	4	3	CARDINAL
ejpam-1242	112	1	4	CARDINAL
ejpam-1242	113	1	∈	ORG
ejpam-1242	113	2	∈	ORG
ejpam-1242	114	1	r.	NORP
ejpam-1242	114	2	5	DATE
ejpam-1242	117	1	s. atani	PERSON
ejpam-1242	117	2	r. atrani	PERSON
ejpam-1242	118	1	j. pure	PERSON
ejpam-1242	118	2	4 (2011	DATE
ejpam-1242	118	3	251	CARDINAL
ejpam-1242	118	4	n + l	LOC
ejpam-1242	118	5	i(m/n	ORG
ejpam-1242	120	1	∈	ORG
ejpam-1242	122	1	a′	ORG
ejpam-1242	122	2	∈	ORG
ejpam-1242	124	1	i=1 rimi ∈	PERSON
ejpam-1242	128	1	1	CARDINAL
ejpam-1242	131	1	0	CARDINAL
ejpam-1242	133	1	∈	ORG
ejpam-1242	133	2	∈	ORG
ejpam-1242	135	1	0	CARDINAL
ejpam-1242	136	1	n + l	FAC
ejpam-1242	138	1	first	ORDINAL
ejpam-1242	138	2	i(m/n	ORG
ejpam-1242	139	1	∈	ORG
ejpam-1242	142	1	⊆	CARDINAL
ejpam-1242	142	2	q′+	ORG
ejpam-1242	144	1	r.(q+ n	PRODUCT
ejpam-1242	148	1	ri ∈	PERSON
ejpam-1242	148	2	n ∈	PRODUCT
ejpam-1242	157	1	zero	CARDINAL
ejpam-1242	159	1	y ∈ n	PERSON
ejpam-1242	160	1	7	CARDINAL
ejpam-1242	160	2	2.3	CARDINAL
ejpam-1242	162	1	0	CARDINAL
ejpam-1242	166	1	x+a+	PERSON
ejpam-1242	166	2	∈	ORG
ejpam-1242	167	1	i=1 ri.(q	PERSON
ejpam-1242	170	1	⊆	CARDINAL
ejpam-1242	171	1	2	CARDINAL
ejpam-1242	174	1	m/n	FAC
ejpam-1242	175	1	7	CARDINAL
ejpam-1242	175	2	3.6	CARDINAL
ejpam-1242	175	3	⊆	CARDINAL
ejpam-1242	177	1	i(m/n	ORG
ejpam-1242	178	1	3	CARDINAL
ejpam-1242	181	1	2	CARDINAL
ejpam-1242	181	2	5	CARDINAL
ejpam-1242	182	1	∈	ORG
ejpam-1242	182	2	r.	NORP
ejpam-1242	182	3	∈	ORG
ejpam-1242	183	1	q1,q2	PERSON
ejpam-1242	183	2	s. atani	PERSON
ejpam-1242	183	3	r. atrani	PERSON
ejpam-1242	184	1	j. pure	PERSON
ejpam-1242	184	2	4 (2011	DATE
ejpam-1242	184	3	251	CARDINAL
ejpam-1242	184	4	∈ i(m/n	ORG
ejpam-1242	184	5	q1+n	PERSON
ejpam-1242	187	1	∈	ORG
ejpam-1242	188	1	∈	ORG
ejpam-1242	189	1	j	PERSON
ejpam-1242	189	2	r.	NORP
ejpam-1242	189	3	∈	ORG
ejpam-1242	192	1	∈	ORG
ejpam-1242	193	1	∈	ORG
ejpam-1242	193	2	∈	ORG
ejpam-1242	194	1	j ⊆	PERSON
ejpam-1242	196	1	2	CARDINAL
ejpam-1242	197	1	6= 0	DATE
ejpam-1242	198	1	at least one	CARDINAL
ejpam-1242	200	1	0	CARDINAL
ejpam-1242	200	2	0	CARDINAL
ejpam-1242	201	1	⊆	CARDINAL
ejpam-1242	203	1	zorn	ORG
ejpam-1242	204	1	4	CARDINAL
ejpam-1242	205	1	6= 0	DATE
ejpam-1242	206	1	6=	CARDINAL
ejpam-1242	208	1	2	CARDINAL
ejpam-1242	208	2	13	CARDINAL
ejpam-1242	208	3	14	CARDINAL
ejpam-1242	208	4	7	CARDINAL
ejpam-1242	208	5	3.2	CARDINAL
ejpam-1242	209	1	golan	PERSON
ejpam-1242	210	1	3	CARDINAL
ejpam-1242	211	1	1 6=	CARDINAL
ejpam-1242	211	2	0	CARDINAL
ejpam-1242	212	1	j of r. (ii	PERSON
ejpam-1242	212	2	⊆	CARDINAL
ejpam-1242	213	1	at least one	CARDINAL
ejpam-1242	214	1	j ⊆ p	ORG
ejpam-1242	214	2	r.	NORP
ejpam-1242	215	1	∈	ORG
ejpam-1242	215	2	∈	ORG
ejpam-1242	219	1	∈	ORG
ejpam-1242	220	1	∈	ORG
ejpam-1242	221	1	j	PERSON
ejpam-1242	221	2	r.	NORP
ejpam-1242	223	1	j = r.	PERSON
ejpam-1242	226	1	s. atani	PERSON
ejpam-1242	226	2	r. atrani	PERSON
ejpam-1242	227	1	j. pure	PERSON
ejpam-1242	227	2	4 (2011	DATE
ejpam-1242	227	3	251	CARDINAL
ejpam-1242	228	1	zorn	ORG
ejpam-1242	228	2	⊆	CARDINAL
ejpam-1242	229	1	⊆	CARDINAL
ejpam-1242	229	2	r.	NORP
ejpam-1242	229	3	r.	NORP
ejpam-1242	229	4	∈	ORG
ejpam-1242	236	1	∈	ORG
ejpam-1242	236	2	0	CARDINAL
ejpam-1242	237	1	5	CARDINAL
ejpam-1242	238	1	k-subsemimodule	ORG
ejpam-1242	238	2	m. proof	PERSON
ejpam-1242	239	1	zero	CARDINAL
ejpam-1242	241	1	7	CARDINAL
ejpam-1242	241	2	3.2	CARDINAL
ejpam-1242	241	3	n ∈ n	ORG
ejpam-1242	245	1	∈	ORG
ejpam-1242	246	1	0	CARDINAL
ejpam-1242	246	2	∈	ORG
ejpam-1242	246	3	3	CARDINAL
ejpam-1242	247	1	t pm	TIME
ejpam-1242	247	2	∈	ORG
ejpam-1242	247	3	∈	PRODUCT
ejpam-1242	247	4	0	CARDINAL
ejpam-1242	248	1	1+	CARDINAL
ejpam-1242	248	2	0	CARDINAL
ejpam-1242	248	3	1+	CARDINAL
ejpam-1242	248	4	∈	ORG
ejpam-1242	248	5	⊆	CARDINAL
ejpam-1242	249	1	6=	DATE
ejpam-1242	251	1	⊆	CARDINAL
ejpam-1242	251	2	r.	NORP
ejpam-1242	252	1	∈	ORG
ejpam-1242	252	2	1	CARDINAL
ejpam-1242	252	3	∈	ORG
ejpam-1242	253	1	k-subsemimodule	ORG
ejpam-1242	254	1	6	CARDINAL
ejpam-1242	255	1	k-subsemimodule	ORG
ejpam-1242	255	2	m. theorem 6	ORG
ejpam-1242	256	1	∈	ORG
ejpam-1242	259	1	k-subsemimodule	ORG
ejpam-1242	259	2	5	CARDINAL
ejpam-1242	259	3	r.	NORP
ejpam-1242	259	4	∈	ORG
ejpam-1242	259	5	1+p)m	CARDINAL
ejpam-1242	260	1	∈	ORG
ejpam-1242	260	2	1+	QUANTITY
ejpam-1242	261	1	z. el-bast	PERSON
ejpam-1242	261	2	p. f. smith	PERSON
ejpam-1242	261	3	6	CARDINAL
ejpam-1242	263	1	s. atani	PERSON
ejpam-1242	263	2	r. atrani	PERSON
ejpam-1242	264	1	j. pure	PERSON
ejpam-1242	264	2	4 (2011	DATE
ejpam-1242	264	3	251	CARDINAL
ejpam-1242	264	4	3	CARDINAL
ejpam-1242	267	1	r.	NORP
ejpam-1242	267	2	r.	NORP
ejpam-1242	267	3	∈	ORG
ejpam-1242	267	4	∈	ORG
ejpam-1242	267	5	∈	ORG
ejpam-1242	268	1	∈	ORG
ejpam-1242	269	1	6=	DATE
ejpam-1242	269	2	m. proof	PERSON
ejpam-1242	270	1	r.	NORP
ejpam-1242	271	1	∈	ORG
ejpam-1242	273	1	15	CARDINAL
ejpam-1242	278	1	∈	PRODUCT
ejpam-1242	278	2	1+	CARDINAL
ejpam-1242	281	1	6=	CARDINAL
ejpam-1242	282	1	∈	ORG
ejpam-1242	287	1	∈	ORG
ejpam-1242	288	1	0	CARDINAL
ejpam-1242	288	2	1+ q′	CARDINAL
ejpam-1242	289	1	1+	CARDINAL
ejpam-1242	290	1	r.	NORP
ejpam-1242	291	1	i∈λ ii	PERSON
ejpam-1242	292	1	⊆	CARDINAL
ejpam-1242	293	1	∈	ORG
ejpam-1242	294	1	∈	ORG
ejpam-1242	294	2	r.	NORP
ejpam-1242	294	3	k 6= r.	PERSON
ejpam-1242	294	4	3	CARDINAL
ejpam-1242	294	5	k ⊆	ORG
ejpam-1242	298	1	∈	ORG
ejpam-1242	298	2	1+ p)m	CARDINAL
ejpam-1242	298	3	⊆	CARDINAL
ejpam-1242	299	1	∈	ORG
ejpam-1242	300	1	∈	ORG
ejpam-1242	301	1	∈	PERSON
ejpam-1242	304	1	0	CARDINAL
ejpam-1242	304	2	0	CARDINAL
ejpam-1242	305	1	⊆	CARDINAL
ejpam-1242	306	1	0	CARDINAL
ejpam-1242	306	2	1+ p)(a j + a′i	DATE
ejpam-1242	307	1	0	CARDINAL
ejpam-1242	310	1	0	CARDINAL
ejpam-1242	310	2	1+	CARDINAL
ejpam-1242	310	3	1+	CARDINAL
ejpam-1242	310	4	1+	CARDINAL
ejpam-1242	310	5	j ∈	PERSON
ejpam-1242	312	1	1+ p)2	QUANTITY
ejpam-1242	312	2	1+	DATE
ejpam-1242	314	1	1+ p)2 ∈ k ⊆	QUANTITY
ejpam-1242	319	1	∈	ORG
ejpam-1242	319	2	r.	NORP
ejpam-1242	319	3	k 6= r.	PERSON
ejpam-1242	319	4	k ⊆ p	ORG
ejpam-1242	320	1	∈	ORG
ejpam-1242	322	1	1 + q)m	DATE
ejpam-1242	322	2	⊆	CARDINAL
ejpam-1242	323	1	1 +	DATE
ejpam-1242	323	2	1+	DATE
ejpam-1242	323	3	∈	ORG
ejpam-1242	323	4	1+ q)pm ⊆	QUANTITY
ejpam-1242	324	1	1+	CARDINAL
ejpam-1242	324	2	0	CARDINAL
ejpam-1242	325	1	0	CARDINAL
ejpam-1242	326	1	1+ q)p	DATE
ejpam-1242	327	1	⊆	CARDINAL
ejpam-1242	328	1	1+	DATE
ejpam-1242	329	1	1+	CARDINAL
ejpam-1242	332	1	s. atani	PERSON
ejpam-1242	332	2	r. atrani	PERSON
ejpam-1242	333	1	j. pure	PERSON
ejpam-1242	333	2	4 (2011	DATE
ejpam-1242	333	3	251	CARDINAL
ejpam-1242	333	4	1	CARDINAL
ejpam-1242	334	1	⊆	CARDINAL
ejpam-1242	336	1	∈	ORG
ejpam-1242	338	1	∈ m.	PERSON
ejpam-1242	340	1	zero	CARDINAL
ejpam-1242	342	1	k-subsemimodule	ORG
ejpam-1242	342	2	⊆	CARDINAL
ejpam-1242	345	1	7	CARDINAL
ejpam-1242	346	1	k-subsemimodule n	ORG
ejpam-1242	346	2	m. (ii	ORG
ejpam-1242	346	3	r.	NORP
ejpam-1242	347	1	⊆	CARDINAL
ejpam-1242	349	1	13	CARDINAL
ejpam-1242	349	2	4	CARDINAL
ejpam-1242	349	3	r.	NORP
ejpam-1242	349	4	0 6=	CARDINAL
ejpam-1242	349	5	∈	ORG
ejpam-1242	349	6	∈	ORG
ejpam-1242	349	7	rm ∈	PERSON
ejpam-1242	349	8	⊆	CARDINAL
ejpam-1242	349	9	r.	NORP
ejpam-1242	351	1	6=	CARDINAL
ejpam-1242	351	2	1	CARDINAL
ejpam-1242	351	3	8	CARDINAL
ejpam-1242	356	1	letb	PERSON
ejpam-1242	356	2	⊆	CARDINAL
ejpam-1242	356	3	⊆	CARDINAL
ejpam-1242	356	4	⊆	CARDINAL
ejpam-1242	358	1	p∈c p	ORG
ejpam-1242	359	1	1	CARDINAL
ejpam-1242	359	2	3 (ii	CARDINAL
ejpam-1242	359	3	p∈c (	LAW
ejpam-1242	359	4	⊆	CARDINAL
ejpam-1242	359	5	p∈b pm	TIME
ejpam-1242	360	1	∈	ORG
ejpam-1242	361	1	⊆	CARDINAL
ejpam-1242	362	1	6=	DATE
ejpam-1242	362	2	⊆	CARDINAL
ejpam-1242	362	3	7	CARDINAL
ejpam-1242	366	1	6=	CARDINAL
ejpam-1242	366	2	a⊆ p ′	ORG
ejpam-1242	366	3	13	CARDINAL
ejpam-1242	366	4	⊆	CARDINAL
ejpam-1242	366	5	⊆	CARDINAL
ejpam-1242	366	6	bm ⊆ rad(n	ORG
ejpam-1242	367	1	s. atani	PERSON
ejpam-1242	367	2	r. atrani	PERSON
ejpam-1242	368	1	j. pure	PERSON
ejpam-1242	368	2	4 (2011	DATE
ejpam-1242	368	3	251	CARDINAL
ejpam-1242	370	1	r.	NORP
ejpam-1242	372	1	i2 of r.	ORG
ejpam-1242	373	1	= k ′	PERSON
ejpam-1242	373	2	i2	ORG
ejpam-1242	373	3	j1	ORG
ejpam-1242	373	4	j2 of r. it	ORG
ejpam-1242	373	5	ameri	ORG
ejpam-1242	373	6	4	CARDINAL
ejpam-1242	373	7	3.4	CARDINAL
ejpam-1242	376	1	4	CARDINAL
ejpam-1242	378	1	⊆	CARDINAL
ejpam-1242	378	2	u ⊆ n	PRODUCT
ejpam-1242	378	3	⊆ n. (ii) n	QUANTITY
ejpam-1242	379	1	⊆	CARDINAL
ejpam-1242	380	1	ameri	ORG
ejpam-1242	380	2	4	CARDINAL
ejpam-1242	380	3	3.16	CARDINAL
ejpam-1242	380	4	3.17	CARDINAL
ejpam-1242	381	1	6= 0	DATE
ejpam-1242	382	1	4	DATE
ejpam-1242	386	1	5	CARDINAL
ejpam-1242	388	1	ni}i∈i	ORG
ejpam-1242	391	1	n ⊆ rad(n	ORG
ejpam-1242	392	1	⊆	CARDINAL
ejpam-1242	395	1	∈	ORG
ejpam-1242	396	1	⊆	CARDINAL
ejpam-1242	397	1	⊆	CARDINAL
ejpam-1242	397	2	ni)⊆	LAW
ejpam-1242	399	1	s. atani	PERSON
ejpam-1242	399	2	r. atrani	PERSON
ejpam-1242	400	1	j. pure	PERSON
ejpam-1242	400	2	4 (2011	DATE
ejpam-1242	400	3	251	CARDINAL
ejpam-1242	400	4	lemma 5 (ii	ORG
ejpam-1242	402	1	moore	PERSON
ejpam-1242	402	2	22	CARDINAL
ejpam-1242	403	1	6	CARDINAL
ejpam-1242	405	1	k-subsemimodule	ORG
ejpam-1242	408	1	k-subsemimodule	ORG
ejpam-1242	408	2	t ∩ l ⊆ n	ORG
ejpam-1242	410	1	k-subsemimodule	ORG
ejpam-1242	411	1	ni ∈	PERSON
ejpam-1242	411	2	⊆	CARDINAL
ejpam-1242	412	1	⊆	CARDINAL
ejpam-1242	413	1	⊆	CARDINAL
ejpam-1242	413	2	⊆	CARDINAL
ejpam-1242	413	3	⊆	CARDINAL
ejpam-1242	413	4	⊆	CARDINAL
ejpam-1242	414	1	t	CARDINAL
ejpam-1242	414	2	⊆	CARDINAL
ejpam-1242	414	3	5	CARDINAL
ejpam-1242	419	1	5	CARDINAL
ejpam-1242	420	1	9	CARDINAL
ejpam-1242	423	1	k-subsemimodule	ORG
ejpam-1242	423	2	m/n	FAC
ejpam-1242	423	3	u/n	EVENT
ejpam-1242	423	4	k-subsemimodule	ORG
ejpam-1242	424	1	k-subsemimodule	ORG
ejpam-1242	424	2	m/n	FAC
ejpam-1242	424	3	u/n and	EVENT
ejpam-1242	424	4	t/n	EVENT
ejpam-1242	425	1	⊆	CARDINAL
ejpam-1242	425	2	t/n	EVENT
ejpam-1242	425	3	u ∩ l ⊆	ORG
ejpam-1242	425	4	⊆	CARDINAL
ejpam-1242	425	5	6	CARDINAL
ejpam-1242	425	6	u/n ⊆	ORG
ejpam-1242	426	1	6	CARDINAL
ejpam-1242	427	1	10	CARDINAL
ejpam-1242	433	1	n)⊆	CARDINAL
ejpam-1242	433	2	l ⊆ rad(n	ORG
ejpam-1242	434	1	s. atani	PERSON
ejpam-1242	434	2	r. atrani	PERSON
ejpam-1242	435	1	j. pure	PERSON
ejpam-1242	435	2	4 (2011	DATE
ejpam-1242	435	3	251	CARDINAL
ejpam-1242	436	1	n ∩ l	ORG
ejpam-1242	438	1	k-subsemimodule	ORG
ejpam-1242	442	1	⊆	CARDINAL
ejpam-1242	442	2	⊆	CARDINAL
ejpam-1242	444	1	⊆	CARDINAL
ejpam-1242	444	2	⊆	CARDINAL
ejpam-1242	444	3	13	CARDINAL
ejpam-1242	445	1	∈	ORG
ejpam-1242	446	1	in)⊆	PERSON
ejpam-1242	450	1	lemma 5	ORG
ejpam-1242	450	2	⊆	CARDINAL
ejpam-1242	450	3	⊆	CARDINAL
ejpam-1242	451	1	⊆	CARDINAL
ejpam-1242	455	1	6	CARDINAL
ejpam-1242	455	2	2	CARDINAL
ejpam-1242	457	1	xm	ORG
ejpam-1242	461	1	xm	ORG
ejpam-1242	462	1	7	CARDINAL
ejpam-1242	464	1	∩ x	PERSON
ejpam-1242	465	1	xm	ORG
ejpam-1242	465	2	∈	ORG
ejpam-1242	467	1	10	CARDINAL
ejpam-1242	468	1	263	CARDINAL
ejpam-1242	469	1	k-subsemimodule	ORG
ejpam-1242	471	1	∑	ORG
ejpam-1242	472	1	5	CARDINAL
ejpam-1242	475	1	⋃	PERSON
ejpam-1242	475	2	xmi	ORG
ejpam-1242	480	1	7	CARDINAL
ejpam-1242	480	2	subcover	GPE
ejpam-1242	481	1	xm	ORG
ejpam-1242	481	2	⊆	PRODUCT
ejpam-1242	481	3	⋃	PRODUCT
ejpam-1242	483	1	n)⊆	CARDINAL
ejpam-1242	484	1	⊆	CARDINAL
ejpam-1242	484	2	5	CARDINAL
ejpam-1242	484	3	⊆	CARDINAL
ejpam-1242	484	4	10	CARDINAL
ejpam-1242	485	1	8	CARDINAL
ejpam-1242	486	1	ri ∈ rad(a	PERSON
ejpam-1242	486	2	∈	ORG
ejpam-1242	486	3	t∈j rt mt .	PERSON
ejpam-1242	487	1	ri ∈ rad(a	ORG
ejpam-1242	492	1	3 (ii	CARDINAL
ejpam-1242	494	1	⊆	CARDINAL
ejpam-1242	494	2	∑	ORG
ejpam-1242	494	3	ri ii	PERSON
ejpam-1242	494	4	⊆	CARDINAL
ejpam-1242	495	1	10	CARDINAL
ejpam-1242	498	1	xm	ORG
ejpam-1242	498	2	⊆	CARDINAL
ejpam-1242	498	3	⋃	DATE
ejpam-1242	498	4	xmi	ORG
ejpam-1242	499	1	11	CARDINAL
ejpam-1242	503	1	7	CARDINAL
ejpam-1242	503	2	4	CARDINAL
ejpam-1242	503	3	2	CARDINAL
ejpam-1242	506	1	i=1 rmi	PERSON
ejpam-1242	507	1	xm	ORG
ejpam-1242	508	1	⋃n i=1 xmi	PERSON
ejpam-1242	512	1	1	CARDINAL
ejpam-1242	512	2	a. allen	PERSON
ejpam-1242	512	3	texas christian university, 1967	ORG
ejpam-1242	513	1	2	CARDINAL
ejpam-1242	513	2	a. allen	PERSON
ejpam-1242	514	1	amer	PERSON
ejpam-1242	516	1	21	CARDINAL
ejpam-1242	516	2	412	CARDINAL
ejpam-1242	517	1	1969	DATE
ejpam-1242	518	1	3	CARDINAL
ejpam-1242	518	2	r. ameri	PERSON
ejpam-1242	518	3	houston j.	PERSON
ejpam-1242	519	1	337	CARDINAL
ejpam-1242	519	2	2010	DATE
ejpam-1242	520	1	264	CARDINAL
ejpam-1242	520	2	4	CARDINAL
ejpam-1242	520	3	r. ameri	PERSON
ejpam-1242	521	1	j.	PERSON
ejpam-1242	521	2	27	CARDINAL
ejpam-1242	521	3	1715-1724	CARDINAL
ejpam-1242	522	1	2003	DATE
ejpam-1242	523	1	5	CARDINAL
ejpam-1242	523	2	m. f. atiyah	PERSON
ejpam-1242	523	3	i. g. macdonald	PERSON
ejpam-1242	523	4	addison wesley publishing company	ORG
ejpam-1242	523	5	1969	DATE
ejpam-1242	524	1	6	CARDINAL
ejpam-1242	524	2	z. el-bast	PERSON
ejpam-1242	524	3	p. f. smith	PERSON
ejpam-1242	525	1	16	CARDINAL
ejpam-1242	525	2	755	CARDINAL
ejpam-1242	525	3	1988	DATE
ejpam-1242	526	1	j. n.	PERSON
ejpam-1242	526	2	d. bonde	PERSON
ejpam-1242	527	1	j. 50	PERSON
ejpam-1242	527	2	329	CARDINAL
ejpam-1242	527	3	2010	DATE
ejpam-1242	528	1	8	CARDINAL
ejpam-1242	528	2	s. ebrahimi atani	PERSON
ejpam-1242	528	3	40	CARDINAL
ejpam-1242	528	4	407	CARDINAL
ejpam-1242	528	5	2004	DATE
ejpam-1242	529	1	9	CARDINAL
ejpam-1242	529	2	s. ebrahimi atani	PERSON
ejpam-1242	529	3	taiwanese	NORP
ejpam-1242	530	1	9(3	CARDINAL
ejpam-1242	530	2	385	CARDINAL
ejpam-1242	531	1	2005	DATE
ejpam-1242	532	1	10	CARDINAL
ejpam-1242	532	2	s. ebrahimi atani	PERSON
ejpam-1242	533	1	glas	PERSON
ejpam-1242	535	1	42	CARDINAL
ejpam-1242	535	2	301	CARDINAL
ejpam-1242	536	1	2007	DATE
ejpam-1242	537	1	11	CARDINAL
ejpam-1242	537	2	s. ebrahimi atani	PERSON
ejpam-1242	537	3	r. ebrahimi atani	PERSON
ejpam-1242	538	1	glas	PERSON
ejpam-1242	540	1	45	CARDINAL
ejpam-1242	540	2	395	CARDINAL
ejpam-1242	541	1	2010	DATE
ejpam-1242	542	1	12	CARDINAL
ejpam-1242	542	2	r. ebrahimi atani	PERSON
ejpam-1242	542	3	s. ebrahimi atani	PERSON
ejpam-1242	543	1	bul	PERSON
ejpam-1242	547	1	2	CARDINAL
ejpam-1242	547	2	14-23.	DATE
ejpam-1242	549	1	13	CARDINAL
ejpam-1242	549	2	r. ebrahimi atani	PERSON
ejpam-1242	549	3	s. ebrahimi atani	PERSON
ejpam-1242	554	1	63	CARDINAL
ejpam-1242	554	2	20-30	DATE
ejpam-1242	555	1	2010	DATE
ejpam-1242	556	1	14	CARDINAL
ejpam-1242	556	2	s. ebrahimi atani	PERSON
ejpam-1242	556	3	r. ebrahimi atani	PERSON
ejpam-1242	557	1	st.	GPE
ejpam-1242	557	2	univ	NORP
ejpam-1242	558	1	ovidius constanta 18(1	PERSON
ejpam-1242	558	2	49-62	DATE
ejpam-1242	559	1	2010	DATE
ejpam-1242	560	1	15	CARDINAL
ejpam-1242	560	2	s. ebrahimi atani	PERSON
ejpam-1242	560	3	m. shajari kohan	PERSON
ejpam-1242	562	1	j.	PERSON
ejpam-1242	562	2	4(8	CARDINAL
ejpam-1242	562	3	389	CARDINAL
ejpam-1242	563	1	2010	DATE
ejpam-1242	564	1	16	CARDINAL
ejpam-1242	564	2	j. s. golan	PERSON
ejpam-1242	564	3	kluwer	ORG
ejpam-1242	564	4	dordrecht	ORG
ejpam-1242	564	5	1999	DATE
ejpam-1242	565	1	17	CARDINAL
ejpam-1242	565	2	k. glazek	PERSON
ejpam-1242	565	3	kluwer	ORG
ejpam-1242	566	1	2002	DATE
ejpam-1242	567	1	18	CARDINAL
ejpam-1242	567	2	h. j. weinert	PERSON
ejpam-1242	567	3	algebraic	PERSON
ejpam-1242	567	4	1998	DATE
ejpam-1242	568	1	19	CARDINAL
ejpam-1242	568	2	c. p. lu	PERSON
ejpam-1242	570	1	univ	NORP
ejpam-1242	571	1	st. paul 33	PERSON
ejpam-1242	571	2	61	CARDINAL
ejpam-1242	572	1	20	CARDINAL
ejpam-1242	573	1	3741-3752	DATE
ejpam-1242	574	1	1995	DATE
ejpam-1242	574	2	265	CARDINAL
ejpam-1242	574	3	21	CARDINAL
ejpam-1242	574	4	c. p. lu	PERSON
ejpam-1242	574	5	houston j.	PERSON
ejpam-1242	575	1	33(1	CARDINAL
ejpam-1242	575	2	125	CARDINAL
ejpam-1242	576	1	2007	DATE
ejpam-1242	577	1	22	CARDINAL
ejpam-1242	577	2	r. y. mccasland	PERSON
ejpam-1242	577	3	m. e. moore	PERSON
ejpam-1242	577	4	p. f. smith	PERSON
ejpam-1242	578	1	79	CARDINAL
ejpam-1242	579	1	23	CARDINAL
ejpam-1242	579	2	i. simon	PERSON
ejpam-1242	579	3	paris	GPE
ejpam-1242	579	4	384	CARDINAL
ejpam-1242	579	5	1990	DATE