id	sid	eid	entity	type
ejpam-3495	1	1	european journal	ORG
ejpam-3495	2	1	12	CARDINAL
ejpam-3495	2	2	3, 2019	DATE
ejpam-3495	2	3	1248	CARDINAL
ejpam-3495	2	4	1307-5543	DATE
ejpam-3495	2	5	new york	GPE
ejpam-3495	2	6	d. naingue1,∗	PERSON
ejpam-3495	2	7	jocelyn p. vilela1	PERSON
ejpam-3495	3	1	1	CARDINAL
ejpam-3495	3	2	mindanao	GPE
ejpam-3495	3	3	institute of technology	ORG
ejpam-3495	3	4	9200	CARDINAL
ejpam-3495	3	5	iligan city	GPE
ejpam-3495	3	6	philippines	GPE
ejpam-3495	7	1	2010	DATE
ejpam-3495	7	2	08c99	CARDINAL
ejpam-3495	7	3	08a05	CARDINAL
ejpam-3495	7	4	08a30	CARDINAL
ejpam-3495	7	5	1	CARDINAL
ejpam-3495	7	6	introduction y. imai	PERSON
ejpam-3495	7	7	k. iséki	PERSON
ejpam-3495	8	1	7	CARDINAL
ejpam-3495	8	2	first	ORDINAL
ejpam-3495	8	3	1966	DATE
ejpam-3495	9	1	the same year	DATE
ejpam-3495	9	2	k. iséki	PERSON
ejpam-3495	10	1	6	CARDINAL
ejpam-3495	10	2	algebras	ORG
ejpam-3495	11	1	1999	DATE
ejpam-3495	11	2	j. neggers	PERSON
ejpam-3495	11	3	h. s. kim	PERSON
ejpam-3495	12	1	9	CARDINAL
ejpam-3495	13	1	2007	DATE
ejpam-3495	13	2	j. allen	PERSON
ejpam-3495	13	3	h. s. kim	PERSON
ejpam-3495	13	4	j. neggers	PERSON
ejpam-3495	14	1	3	CARDINAL
ejpam-3495	15	1	2002	DATE
ejpam-3495	15	2	j. neggers	PERSON
ejpam-3495	15	3	h. s. kim	PERSON
ejpam-3495	16	1	11	CARDINAL
ejpam-3495	16	2	algebras	ORG
ejpam-3495	17	1	j. allen	PERSON
ejpam-3495	17	2	j. neggers	PERSON
ejpam-3495	17	3	h. s. kim	PERSON
ejpam-3495	18	1	2	CARDINAL
ejpam-3495	19	1	m. kondo	PERSON
ejpam-3495	19	2	y. b. jun [8	PERSON
ejpam-3495	23	1	l.d. naingue	PERSON
ejpam-3495	23	2	jocelyn.vilela@g.msuiit.edu.ph	GPE
ejpam-3495	24	1	1248	CARDINAL
ejpam-3495	24	2	2019	CARDINAL
ejpam-3495	25	1	l.d. naingue	PERSON
ejpam-3495	25	2	j.p. vilela	ORG
ejpam-3495	26	1	j. pure	PERSON
ejpam-3495	26	2	12	CARDINAL
ejpam-3495	26	3	3	CARDINAL
ejpam-3495	26	4	2019	DATE
ejpam-3495	26	5	1248	CARDINAL
ejpam-3495	26	6	2.1	CARDINAL
ejpam-3495	27	1	11	CARDINAL
ejpam-3495	27	2	∗	CARDINAL
ejpam-3495	29	1	∗	CARDINAL
ejpam-3495	30	1	2.2	CARDINAL
ejpam-3495	32	1	2.3	CARDINAL
ejpam-3495	33	1	11	CARDINAL
ejpam-3495	33	2	∗	CARDINAL
ejpam-3495	34	1	y ∗ z	PERSON
ejpam-3495	35	1	y ∗	PERSON
ejpam-3495	35	2	0 ∗	CARDINAL
ejpam-3495	35	3	0 ∗ z	QUANTITY
ejpam-3495	36	1	0 ∗ z	QUANTITY
ejpam-3495	36	2	∗	CARDINAL
ejpam-3495	37	1	0	CARDINAL
ejpam-3495	37	2	0 ∗	QUANTITY
ejpam-3495	37	3	0 ∗	CARDINAL
ejpam-3495	37	4	0 ∗ x	QUANTITY
ejpam-3495	37	5	2.4	DATE
ejpam-3495	38	1	13	CARDINAL
ejpam-3495	38	2	∗	CARDINAL
ejpam-3495	38	3	0 ∗	QUANTITY
ejpam-3495	39	1	2.5	CARDINAL
ejpam-3495	40	1	11	CARDINAL
ejpam-3495	40	2	∗	CARDINAL
ejpam-3495	40	3	0∗y	CARDINAL
ejpam-3495	40	4	0 ∗ x	QUANTITY
ejpam-3495	41	1	2.6	CARDINAL
ejpam-3495	42	1	2	CARDINAL
ejpam-3495	42	2	∗	CARDINAL
ejpam-3495	44	1	2.7	CARDINAL
ejpam-3495	45	1	11	CARDINAL
ejpam-3495	46	1	2.8	CARDINAL
ejpam-3495	47	1	12	CARDINAL
ejpam-3495	47	2	∗	CARDINAL
ejpam-3495	48	1	nonempty	ORG
ejpam-3495	48	2	2.9	CARDINAL
ejpam-3495	49	1	5	CARDINAL
ejpam-3495	49	2	∗	CARDINAL
ejpam-3495	50	1	nonempty	ORG
ejpam-3495	53	1	i.	PERSON
ejpam-3495	53	2	2.10	CARDINAL
ejpam-3495	54	1	1	CARDINAL
ejpam-3495	55	1	2.11	CARDINAL
ejpam-3495	56	1	10	CARDINAL
ejpam-3495	56	2	0a	CARDINAL
ejpam-3495	56	3	0b	CARDINAL
ejpam-3495	57	1	φ	ORG
ejpam-3495	57	2	φ(x ∗a	GPE
ejpam-3495	57	3	φ(y	ORG
ejpam-3495	57	4	y ∈ a.	PERSON
ejpam-3495	57	5	0b	CARDINAL
ejpam-3495	58	1	l.d.	PERSON
ejpam-3495	58	2	naingue	ORG
ejpam-3495	58	3	j.p. vilela	ORG
ejpam-3495	59	1	j. pure	PERSON
ejpam-3495	59	2	12	CARDINAL
ejpam-3495	59	3	3	CARDINAL
ejpam-3495	59	4	2019	DATE
ejpam-3495	59	5	1248	CARDINAL
ejpam-3495	59	6	3.1	CARDINAL
ejpam-3495	60	1	∗	CARDINAL
ejpam-3495	61	1	0	CARDINAL
ejpam-3495	62	1	0	CARDINAL
ejpam-3495	63	1	∗	CARDINAL
ejpam-3495	63	2	3.2	CARDINAL
ejpam-3495	64	1	∗	CARDINAL
ejpam-3495	64	2	11	CARDINAL
ejpam-3495	66	1	2 1 3	DATE
ejpam-3495	66	2	0	CARDINAL
ejpam-3495	66	3	3.3	CARDINAL
ejpam-3495	67	1	z,−	PERSON
ejpam-3495	71	1	z.	PERSON
ejpam-3495	71	2	0	DATE
ejpam-3495	72	1	3.4	CARDINAL
ejpam-3495	73	1	∗	CARDINAL
ejpam-3495	77	1	2	CARDINAL
ejpam-3495	78	1	2	CARDINAL
ejpam-3495	78	2	1	CARDINAL
ejpam-3495	78	3	2	CARDINAL
ejpam-3495	79	1	3.5	CARDINAL
ejpam-3495	87	1	2.1(i	CARDINAL
ejpam-3495	96	1	0	CARDINAL
ejpam-3495	97	1	3.4	CARDINAL
ejpam-3495	99	1	3.6	CARDINAL
ejpam-3495	100	1	0	CARDINAL
ejpam-3495	100	2	1	DATE
ejpam-3495	100	3	2	DATE
ejpam-3495	100	4	3	CARDINAL
ejpam-3495	100	5	l.d.	ORG
ejpam-3495	100	6	naingue	ORG
ejpam-3495	100	7	j.p. vilela	ORG
ejpam-3495	101	1	j. pure	PERSON
ejpam-3495	101	2	12	CARDINAL
ejpam-3495	101	3	3	CARDINAL
ejpam-3495	101	4	2019	DATE
ejpam-3495	101	5	1248	CARDINAL
ejpam-3495	101	6	0	CARDINAL
ejpam-3495	101	7	0	CARDINAL
ejpam-3495	101	8	∗	CARDINAL
ejpam-3495	101	9	2	CARDINAL
ejpam-3495	102	1	1	CARDINAL
ejpam-3495	102	2	3	CARDINAL
ejpam-3495	102	3	1∗3)∗1)∗3	CARDINAL
ejpam-3495	102	4	2 6=	DATE
ejpam-3495	102	5	0	CARDINAL
ejpam-3495	104	1	3.7	CARDINAL
ejpam-3495	105	1	∗	CARDINAL
ejpam-3495	106	1	3.6	CARDINAL
ejpam-3495	106	2	0 ∗ x	QUANTITY
ejpam-3495	107	1	3.8	CARDINAL
ejpam-3495	108	1	klein	PERSON
ejpam-3495	108	2	0	CARDINAL
ejpam-3495	108	3	1	DATE
ejpam-3495	108	4	2	DATE
ejpam-3495	108	5	3	CARDINAL
ejpam-3495	108	6	4	CARDINAL
ejpam-3495	108	7	0 1 2 3	QUANTITY
ejpam-3495	108	8	0 ∗ x	QUANTITY
ejpam-3495	108	9	∗	CARDINAL
ejpam-3495	109	1	3.8	CARDINAL
ejpam-3495	110	1	3.9	CARDINAL
ejpam-3495	111	1	∗	CARDINAL
ejpam-3495	112	1	x∗y	DATE
ejpam-3495	112	2	0∗x	CARDINAL
ejpam-3495	113	1	x∗y	DATE
ejpam-3495	113	2	0∗x	CARDINAL
ejpam-3495	114	1	2.1(iii	CARDINAL
ejpam-3495	114	2	2.1(i	CARDINAL
ejpam-3495	114	3	0 ∗ x	QUANTITY
ejpam-3495	116	1	0	CARDINAL
ejpam-3495	117	1	2.1(iii	CARDINAL
ejpam-3495	117	2	0 ∗ x	QUANTITY
ejpam-3495	122	1	3.1	CARDINAL
ejpam-3495	122	2	∗	CARDINAL
ejpam-3495	123	1	y ∈	PERSON
ejpam-3495	126	1	2.1(iii	CARDINAL
ejpam-3495	126	2	0 ∗ x	QUANTITY
ejpam-3495	128	1	0 ∗ x	QUANTITY
ejpam-3495	129	1	3.10	CARDINAL
ejpam-3495	131	1	0 ∗ x	QUANTITY
ejpam-3495	132	1	∗	CARDINAL
ejpam-3495	133	1	l.d.	PERSON
ejpam-3495	133	2	naingue	ORG
ejpam-3495	133	3	j.p. vilela	ORG
ejpam-3495	134	1	j. pure	PERSON
ejpam-3495	134	2	12	CARDINAL
ejpam-3495	134	3	3	CARDINAL
ejpam-3495	134	4	2019	DATE
ejpam-3495	134	5	1248	CARDINAL
ejpam-3495	134	6	0	CARDINAL
ejpam-3495	134	7	0	CARDINAL
ejpam-3495	136	1	0	CARDINAL
ejpam-3495	140	1	2.1(iii	CARDINAL
ejpam-3495	140	2	0 ∗ x	QUANTITY
ejpam-3495	141	1	0	CARDINAL
ejpam-3495	141	2	0 ∗ x	QUANTITY
ejpam-3495	142	1	∗	CARDINAL
ejpam-3495	145	1	3.10(b	CARDINAL
ejpam-3495	145	2	2.1(iii	CARDINAL
ejpam-3495	145	3	0 ∗	QUANTITY
ejpam-3495	146	1	0 ∗	QUANTITY
ejpam-3495	146	2	0 ∗ x	QUANTITY
ejpam-3495	147	1	0 ∗ x	QUANTITY
ejpam-3495	147	2	0 ∗ x	QUANTITY
ejpam-3495	147	3	y � z	PERSON
ejpam-3495	147	4	0 ∗ x	QUANTITY
ejpam-3495	149	1	2.3(f	PRODUCT
ejpam-3495	149	2	2.1(i	CARDINAL
ejpam-3495	149	3	2.1(iii	CARDINAL
ejpam-3495	149	4	2.4	CARDINAL
ejpam-3495	149	5	3.10(b	CARDINAL
ejpam-3495	150	1	0 ∗	CARDINAL
ejpam-3495	150	2	0 ∗ x	QUANTITY
ejpam-3495	150	3	0 ∗ x	QUANTITY
ejpam-3495	150	4	0 ∗	QUANTITY
ejpam-3495	150	5	0 ∗ x	QUANTITY
ejpam-3495	150	6	0 ∗	CARDINAL
ejpam-3495	151	1	0 ∗	QUANTITY
ejpam-3495	151	2	0 ∗ x	QUANTITY
ejpam-3495	151	3	0 ∗	QUANTITY
ejpam-3495	151	4	0 ∗	QUANTITY
ejpam-3495	151	5	0 ∗ x	QUANTITY
ejpam-3495	152	1	0 ∗	QUANTITY
ejpam-3495	152	2	0 ∗	QUANTITY
ejpam-3495	155	1	∗	CARDINAL
ejpam-3495	156	1	lemma 3.10(b	ORG
ejpam-3495	156	2	2.5	CARDINAL
ejpam-3495	156	3	0 ∗ x	QUANTITY
ejpam-3495	157	1	3.6	CARDINAL
ejpam-3495	157	2	1	CARDINAL
ejpam-3495	157	3	2	CARDINAL
ejpam-3495	157	4	0	CARDINAL
ejpam-3495	158	1	0	CARDINAL
ejpam-3495	159	1	1 6=	CARDINAL
ejpam-3495	159	2	3	CARDINAL
ejpam-3495	161	1	3.11	CARDINAL
ejpam-3495	163	1	l.d. naingue	PERSON
ejpam-3495	163	2	j.p. vilela	ORG
ejpam-3495	164	1	j. pure	PERSON
ejpam-3495	164	2	12	CARDINAL
ejpam-3495	164	3	3	CARDINAL
ejpam-3495	164	4	2019	DATE
ejpam-3495	164	5	1248	CARDINAL
ejpam-3495	164	6	3.12	CARDINAL
ejpam-3495	166	1	∗	CARDINAL
ejpam-3495	167	1	∗	CARDINAL
ejpam-3495	167	2	3.10(b	CARDINAL
ejpam-3495	167	3	2.5	CARDINAL
ejpam-3495	167	4	0 ∗ x	QUANTITY
ejpam-3495	168	1	∗	CARDINAL
ejpam-3495	169	1	3.13	CARDINAL
ejpam-3495	170	1	3.2	CARDINAL
ejpam-3495	171	1	2.6	CARDINAL
ejpam-3495	171	2	0	DATE
ejpam-3495	171	3	x∗(0∗y	ORG
ejpam-3495	172	1	1	CARDINAL
ejpam-3495	172	2	4	CARDINAL
ejpam-3495	172	3	3	CARDINAL
ejpam-3495	172	4	5	CARDINAL
ejpam-3495	173	1	6=	CARDINAL
ejpam-3495	174	1	2.6	CARDINAL
ejpam-3495	176	1	3.14	CARDINAL
ejpam-3495	179	1	6=	CARDINAL
ejpam-3495	179	2	lemma 3.10(d	ORG
ejpam-3495	180	1	3.10(a	CARDINAL
ejpam-3495	180	2	0	CARDINAL
ejpam-3495	183	1	3.10(b	CARDINAL
ejpam-3495	183	2	0 ∗ x	QUANTITY
ejpam-3495	185	1	3.10(b	CARDINAL
ejpam-3495	185	2	2.3(f	PRODUCT
ejpam-3495	185	3	0 ∗	CARDINAL
ejpam-3495	185	4	0 ∗	CARDINAL
ejpam-3495	185	5	0 ∗ x	QUANTITY
ejpam-3495	186	1	x−1	PERSON
ejpam-3495	188	1	3.15	CARDINAL
ejpam-3495	189	1	0∗x	CARDINAL
ejpam-3495	190	1	3.16	DATE
ejpam-3495	191	1	∗,⊗	GPE
ejpam-3495	191	2	y ∗ x−1	PERSON
ejpam-3495	192	1	two	CARDINAL
ejpam-3495	192	2	∗	CARDINAL
ejpam-3495	192	3	y ∗ x−1	PERSON
ejpam-3495	193	1	2.7	CARDINAL
ejpam-3495	195	1	l.d.	GPE
ejpam-3495	195	2	naingue	ORG
ejpam-3495	195	3	j.p. vilela	ORG
ejpam-3495	196	1	j. pure	PERSON
ejpam-3495	196	2	12	CARDINAL
ejpam-3495	196	3	3	CARDINAL
ejpam-3495	196	4	2019	DATE
ejpam-3495	196	5	1248	CARDINAL
ejpam-3495	196	6	y ∗ x−1	PERSON
ejpam-3495	199	1	⊗	ORG
ejpam-3495	206	1	⊗	ORG
ejpam-3495	206	2	∗,⊗	GPE
ejpam-3495	207	1	3.2	CARDINAL
ejpam-3495	208	1	3	CARDINAL
ejpam-3495	208	2	4	CARDINAL
ejpam-3495	208	3	3∗(0∗4	CARDINAL
ejpam-3495	209	1	2	CARDINAL
ejpam-3495	209	2	1	CARDINAL
ejpam-3495	209	3	4∗(0∗3	CARDINAL
ejpam-3495	210	1	x∗(0∗y	ORG
ejpam-3495	211	1	3	CARDINAL
ejpam-3495	211	2	2	CARDINAL
ejpam-3495	211	3	2 6=	DATE
ejpam-3495	211	4	0	CARDINAL
ejpam-3495	213	1	3.17	CARDINAL
ejpam-3495	214	1	∗	CARDINAL
ejpam-3495	214	2	∗	CARDINAL
ejpam-3495	214	3	0	CARDINAL
ejpam-3495	215	1	3.18	CARDINAL
ejpam-3495	216	1	0	CARDINAL
ejpam-3495	216	2	1	DATE
ejpam-3495	216	3	2	CARDINAL
ejpam-3495	216	4	2 1 1 1	TIME
ejpam-3495	217	1	0	CARDINAL
ejpam-3495	217	2	0	CARDINAL
ejpam-3495	217	3	∗	CARDINAL
ejpam-3495	217	4	∗	CARDINAL
ejpam-3495	217	5	0	CARDINAL
ejpam-3495	218	1	3.19	CARDINAL
ejpam-3495	219	1	∗	CARDINAL
ejpam-3495	219	2	∗	CARDINAL
ejpam-3495	219	3	0	CARDINAL
ejpam-3495	220	1	∗	CARDINAL
ejpam-3495	221	1	2.1(iii	CARDINAL
ejpam-3495	221	2	2.5	CARDINAL
ejpam-3495	222	1	0 ∗ x	QUANTITY
ejpam-3495	224	1	0 ∗ x	QUANTITY
ejpam-3495	225	1	0 ∗ x	QUANTITY
ejpam-3495	225	2	0 ∗ x	QUANTITY
ejpam-3495	226	1	0	CARDINAL
ejpam-3495	228	1	2.5	CARDINAL
ejpam-3495	228	2	2.1(iii	CARDINAL
ejpam-3495	230	1	0 ∗ x	QUANTITY
ejpam-3495	234	1	∗	CARDINAL
ejpam-3495	234	2	0	CARDINAL
ejpam-3495	235	1	l.d.	PERSON
ejpam-3495	235	2	j.p. vilela	ORG
ejpam-3495	236	1	j. pure	PERSON
ejpam-3495	236	2	12	CARDINAL
ejpam-3495	236	3	3	CARDINAL
ejpam-3495	236	4	2019	DATE
ejpam-3495	236	5	1248	CARDINAL
ejpam-3495	237	1	4.1	CARDINAL
ejpam-3495	239	1	x.	ORG
ejpam-3495	240	1	y,∈ i.	PERSON
ejpam-3495	240	2	4.2	CARDINAL
ejpam-3495	241	1	3.2	CARDINAL
ejpam-3495	241	2	0	CARDINAL
ejpam-3495	241	3	1	DATE
ejpam-3495	241	4	2	CARDINAL
ejpam-3495	241	5	3	CARDINAL
ejpam-3495	241	6	4	DATE
ejpam-3495	241	7	5	CARDINAL
ejpam-3495	241	8	3	CARDINAL
ejpam-3495	241	9	1	CARDINAL
ejpam-3495	242	1	4.3	CARDINAL
ejpam-3495	244	1	x.	ORG
ejpam-3495	244	2	i.	PERSON
ejpam-3495	245	1	2.9	CARDINAL
ejpam-3495	246	1	y ∈ i.	PERSON
ejpam-3495	246	2	4.3	CARDINAL
ejpam-3495	247	1	0	CARDINAL
ejpam-3495	247	2	3.3	CARDINAL
ejpam-3495	248	1	z+	ORG
ejpam-3495	253	1	4.4	CARDINAL
ejpam-3495	255	1	3.3	CARDINAL
ejpam-3495	256	1	z+	ORG
ejpam-3495	257	1	0	CARDINAL
ejpam-3495	257	2	0	CARDINAL
ejpam-3495	262	1	4.5	CARDINAL
ejpam-3495	264	1	0	CARDINAL
ejpam-3495	266	1	3.10(b	CARDINAL
ejpam-3495	266	2	0 ∗	QUANTITY
ejpam-3495	266	3	i.	PERSON
ejpam-3495	267	1	4.3	CARDINAL
ejpam-3495	267	2	2.10	CARDINAL
ejpam-3495	268	1	4.6	CARDINAL
ejpam-3495	270	1	x.	ORG
ejpam-3495	270	2	0	DATE
ejpam-3495	270	3	3−5	CARDINAL
ejpam-3495	272	1	4.7	CARDINAL
ejpam-3495	274	1	4.8	CARDINAL
ejpam-3495	275	1	3.2	CARDINAL
ejpam-3495	275	2	0	CARDINAL
ejpam-3495	275	3	1	DATE
ejpam-3495	275	4	2	CARDINAL
ejpam-3495	276	1	0 ∗	CARDINAL
ejpam-3495	277	1	∈	ORG
ejpam-3495	277	2	4.9	CARDINAL
ejpam-3495	279	1	0 ∗	CARDINAL
ejpam-3495	280	1	∈	ORG
ejpam-3495	281	1	l.d. naingue	PERSON
ejpam-3495	281	2	j.p. vilela	ORG
ejpam-3495	282	1	j. pure	PERSON
ejpam-3495	282	2	12	CARDINAL
ejpam-3495	282	3	3	CARDINAL
ejpam-3495	282	4	2019	DATE
ejpam-3495	282	5	1248	CARDINAL
ejpam-3495	282	6	0 ∗	CARDINAL
ejpam-3495	283	1	∈	ORG
ejpam-3495	283	2	0 ∗	QUANTITY
ejpam-3495	283	3	2.3(b	CARDINAL
ejpam-3495	283	4	3.10(b	CARDINAL
ejpam-3495	284	1	0 ∗	CARDINAL
ejpam-3495	285	1	i.	PERSON
ejpam-3495	286	1	0	DATE
ejpam-3495	287	1	2	CARDINAL
ejpam-3495	287	2	3	CARDINAL
ejpam-3495	291	1	4.10	CARDINAL
ejpam-3495	293	1	0	DATE
ejpam-3495	297	1	4.11	CARDINAL
ejpam-3495	300	1	4.12	CARDINAL
ejpam-3495	301	1	{ik : k ∈ k	PERSON
ejpam-3495	302	1	k∈k ik 6= ∅	ORG
ejpam-3495	303	1	3.2	CARDINAL
ejpam-3495	304	1	0	CARDINAL
ejpam-3495	304	2	3	CARDINAL
ejpam-3495	304	3	0	CARDINAL
ejpam-3495	304	4	4	CARDINAL
ejpam-3495	306	1	0	CARDINAL
ejpam-3495	306	2	3	DATE
ejpam-3495	306	3	4	CARDINAL
ejpam-3495	306	4	3	CARDINAL
ejpam-3495	306	5	1	CARDINAL
ejpam-3495	307	1	4.13	CARDINAL
ejpam-3495	309	1	5	CARDINAL
ejpam-3495	309	2	5.1	CARDINAL
ejpam-3495	311	1	nonempty	ORG
ejpam-3495	315	1	∈	ORG
ejpam-3495	315	2	i.	PERSON
ejpam-3495	315	3	5.2	CARDINAL
ejpam-3495	316	1	3.2	CARDINAL
ejpam-3495	316	2	0	CARDINAL
ejpam-3495	316	3	3	CARDINAL
ejpam-3495	316	4	x.	EVENT
ejpam-3495	316	5	0	CARDINAL
ejpam-3495	316	6	1	CARDINAL
ejpam-3495	316	7	2	CARDINAL
ejpam-3495	316	8	2	CARDINAL
ejpam-3495	316	9	i. lemma	PERSON
ejpam-3495	316	10	5.3	CARDINAL
ejpam-3495	318	1	0 ∗ x	QUANTITY
ejpam-3495	318	2	i.	PERSON
ejpam-3495	318	3	3.15	CARDINAL
ejpam-3495	318	4	x−1	PERSON
ejpam-3495	319	1	0 ∗ x	QUANTITY
ejpam-3495	319	2	x.	ORG
ejpam-3495	319	3	0 ∗ x	QUANTITY
ejpam-3495	319	4	0 ∗ x	QUANTITY
ejpam-3495	319	5	5.4	CARDINAL
ejpam-3495	322	1	l.d. naingue	PERSON
ejpam-3495	322	2	j.p. vilela	ORG
ejpam-3495	323	1	j. pure	PERSON
ejpam-3495	323	2	12	CARDINAL
ejpam-3495	323	3	3	CARDINAL
ejpam-3495	323	4	2019	DATE
ejpam-3495	323	5	1248	CARDINAL
ejpam-3495	323	6	i.	PERSON
ejpam-3495	323	7	5.3	CARDINAL
ejpam-3495	323	8	3.10(b	CARDINAL
ejpam-3495	323	9	theorems 2.4	ORG
ejpam-3495	323	10	2.1(i	CARDINAL
ejpam-3495	323	11	2.3(f	PRODUCT
ejpam-3495	324	1	0 ∗ x	QUANTITY
ejpam-3495	324	2	0 ∗	QUANTITY
ejpam-3495	324	3	0 ∗	QUANTITY
ejpam-3495	324	4	0 ∗ x	QUANTITY
ejpam-3495	325	1	0 ∗	QUANTITY
ejpam-3495	325	2	0 ∗ x	QUANTITY
ejpam-3495	325	3	0 ∗ x	QUANTITY
ejpam-3495	325	4	0 ∗	CARDINAL
ejpam-3495	325	5	0 ∗ x	QUANTITY
ejpam-3495	326	1	∈	ORG
ejpam-3495	326	2	0 ∗ y ∈	QUANTITY
ejpam-3495	327	1	y ∈ i.	PERSON
ejpam-3495	328	1	5.4	CARDINAL
ejpam-3495	330	1	z+	ORG
ejpam-3495	332	1	0	CARDINAL
ejpam-3495	334	1	5.5	CARDINAL
ejpam-3495	336	1	5.6	CARDINAL
ejpam-3495	336	2	3.6	CARDINAL
ejpam-3495	336	3	0	CARDINAL
ejpam-3495	336	4	2	CARDINAL
ejpam-3495	338	1	2	CARDINAL
ejpam-3495	338	2	2 ∈	CARDINAL
ejpam-3495	338	3	0 ∗	CARDINAL
ejpam-3495	339	1	∈	ORG
ejpam-3495	340	1	5.7	CARDINAL
ejpam-3495	342	1	0 ∗	QUANTITY
ejpam-3495	343	1	∈	ORG
ejpam-3495	344	1	0∗a ∈	PERSON
ejpam-3495	344	2	∈	ORG
ejpam-3495	344	3	0∗x	CARDINAL
ejpam-3495	344	4	0 ∗ x	QUANTITY
ejpam-3495	344	5	0 ∗	QUANTITY
ejpam-3495	344	6	lemma 3.10(e	ORG
ejpam-3495	344	7	0 ∗	QUANTITY
ejpam-3495	346	1	5.8	CARDINAL
ejpam-3495	348	1	nonempty	ORG
ejpam-3495	350	1	5.3	CARDINAL
ejpam-3495	350	2	0 ∗	CARDINAL
ejpam-3495	350	3	5.4	CARDINAL
ejpam-3495	351	1	i.	PERSON
ejpam-3495	351	2	0	CARDINAL
ejpam-3495	352	1	∈	ORG
ejpam-3495	353	1	lemma 3.10(e	ORG
ejpam-3495	354	1	5.8	CARDINAL
ejpam-3495	354	2	5.4	CARDINAL
ejpam-3495	355	1	5.9	CARDINAL
ejpam-3495	358	1	5.8	CARDINAL
ejpam-3495	359	1	5.10	CARDINAL
ejpam-3495	360	1	{ik : k ∈ k	PERSON
ejpam-3495	361	1	k∈k ik 6= ∅	ORG
ejpam-3495	362	1	l.d. naingue	PERSON
ejpam-3495	362	2	j.p. vilela	ORG
ejpam-3495	363	1	j. pure	PERSON
ejpam-3495	363	2	12	CARDINAL
ejpam-3495	363	3	3	CARDINAL
ejpam-3495	363	4	2019	DATE
ejpam-3495	363	5	1248	CARDINAL
ejpam-3495	363	6	3.2	CARDINAL
ejpam-3495	363	7	0	CARDINAL
ejpam-3495	363	8	3	CARDINAL
ejpam-3495	363	9	0	CARDINAL
ejpam-3495	363	10	4	CARDINAL
ejpam-3495	364	1	0	CARDINAL
ejpam-3495	364	2	3	DATE
ejpam-3495	364	3	4	CARDINAL
ejpam-3495	365	1	1	CARDINAL
ejpam-3495	365	2	1	CARDINAL
ejpam-3495	366	1	5.11	CARDINAL
ejpam-3495	368	1	6	CARDINAL
ejpam-3495	368	2	6.1	CARDINAL
ejpam-3495	369	1	0y	CARDINAL
ejpam-3495	370	1	f(b	GPE
ejpam-3495	370	2	f(b	GPE
ejpam-3495	371	1	6.2	CARDINAL
ejpam-3495	372	1	∈	ORG
ejpam-3495	373	1	z→ z	PERSON
ejpam-3495	373	2	f(x	ORG
ejpam-3495	374	1	6.3	CARDINAL
ejpam-3495	376	1	6.4	CARDINAL
ejpam-3495	377	1	1	CARDINAL
ejpam-3495	377	2	3.6	CARDINAL
ejpam-3495	377	3	2	CARDINAL
ejpam-3495	377	4	0	DATE
ejpam-3495	377	5	3.8	CARDINAL
ejpam-3495	377	6	2	CARDINAL
ejpam-3495	379	1	0	CARDINAL
ejpam-3495	379	2	0	CARDINAL
ejpam-3495	379	3	2	DATE
ejpam-3495	379	4	3	DATE
ejpam-3495	379	5	1	CARDINAL
ejpam-3495	379	6	3	CARDINAL
ejpam-3495	381	1	6.5	CARDINAL
ejpam-3495	383	1	6.3	CARDINAL
ejpam-3495	383	2	x.	ORG
ejpam-3495	383	3	5.9	CARDINAL
ejpam-3495	385	1	6.6	CARDINAL
ejpam-3495	387	1	f(i	GPE
ejpam-3495	388	1	6.7	CARDINAL
ejpam-3495	390	1	⊆	CARDINAL
ejpam-3495	391	1	6=	CARDINAL
ejpam-3495	391	2	∈	ORG
ejpam-3495	391	3	f(x	ORG
ejpam-3495	394	1	6=	CARDINAL
ejpam-3495	395	1	∈	ORG
ejpam-3495	395	2	x.	GPE
ejpam-3495	396	1	f(x	ORG
ejpam-3495	398	1	5.8	CARDINAL
ejpam-3495	399	1	6.8	CARDINAL
ejpam-3495	400	1	1259	CARDINAL
ejpam-3495	400	2	f(i	GPE
ejpam-3495	401	1	⊆	CARDINAL
ejpam-3495	401	2	x.	EVENT
ejpam-3495	401	3	1	CARDINAL
ejpam-3495	401	4	abdullah	PERSON
ejpam-3495	401	5	a.a.	GPE
ejpam-3495	403	1	11(35):1705–1713	DATE
ejpam-3495	403	2	2017	DATE
ejpam-3495	404	1	2	CARDINAL
ejpam-3495	404	2	allen	PERSON
ejpam-3495	404	3	h.s. kim	PERSON
ejpam-3495	404	4	j. neggers	PERSON
ejpam-3495	406	1	scientiae mathematicae	PERSON
ejpam-3495	406	2	9:159–165	CARDINAL
ejpam-3495	406	3	2003	DATE
ejpam-3495	407	1	3	CARDINAL
ejpam-3495	407	2	allen	PERSON
ejpam-3495	407	3	h.s. kim	PERSON
ejpam-3495	407	4	j. neggers	PERSON
ejpam-3495	409	1	mathematica slovaca	PERSON
ejpam-3495	409	2	57(2):93–106,	DATE
ejpam-3495	409	3	2007	DATE
ejpam-3495	410	1	4	CARDINAL
ejpam-3495	410	2	endam	PERSON
ejpam-3495	410	3	r.c. teves	ORG
ejpam-3495	412	1	11(8):387–394	DATE
ejpam-3495	412	2	2016	DATE
ejpam-3495	413	1	5	CARDINAL
ejpam-3495	413	2	s. gemawati	PERSON
ejpam-3495	415	1	11(7):301–309	CARDINAL
ejpam-3495	415	2	2017	DATE
ejpam-3495	416	1	6	CARDINAL
ejpam-3495	416	2	k. iséki	PERSON
ejpam-3495	417	1	1980	DATE
ejpam-3495	418	1	7	CARDINAL
ejpam-3495	418	2	k. iséki	PERSON
ejpam-3495	418	3	tanaka	PERSON
ejpam-3495	420	1	japonica	GPE
ejpam-3495	420	2	23:1–26, 1978	DATE
ejpam-3495	421	1	8	CARDINAL
ejpam-3495	421	2	m. kondo	PERSON
ejpam-3495	421	3	y.b. jun	PERSON
ejpam-3495	423	1	scientiae mathematicae	PERSON
ejpam-3495	423	2	2:175–177, 2002	DATE
ejpam-3495	424	1	9	CARDINAL
ejpam-3495	424	2	j. neggers	PERSON
ejpam-3495	424	3	h.s. kim	PERSON
ejpam-3495	425	1	mathematica slovaca	PERSON
ejpam-3495	425	2	1999	DATE
ejpam-3495	426	1	10	CARDINAL
ejpam-3495	426	2	j. neggers	PERSON
ejpam-3495	426	3	h.s. kim	PERSON
ejpam-3495	428	1	2(3):207–214, 2002	DATE
ejpam-3495	429	1	11	CARDINAL
ejpam-3495	429	2	j. neggers	PERSON
ejpam-3495	429	3	h.s. kim	PERSON
ejpam-3495	431	1	54:21–29, 2002	DATE
ejpam-3495	432	1	12	CARDINAL
ejpam-3495	432	2	a. walendziak	PERSON
ejpam-3495	434	1	49–53, 2005	DATE
ejpam-3495	435	1	13	CARDINAL
ejpam-3495	435	2	a. walendziak	PERSON
ejpam-3495	437	1	mathematica slovaca	PERSON
ejpam-3495	437	2	56(3):301	CARDINAL
ejpam-3495	437	3	306, 2006	DATE