id	sid	eid	entity	type
ejpam-3559	1	1	european journal	ORG
ejpam-3559	2	1	12	CARDINAL
ejpam-3559	2	2	4, 2019	DATE
ejpam-3559	2	3	1524-1532	DATE
ejpam-3559	2	4	1307-5543	DATE
ejpam-3559	2	5	new york	GPE
ejpam-3559	2	6	two	CARDINAL
ejpam-3559	2	7	rachel m. patangan1	PERSON
ejpam-3559	2	8	sergio r. canoy	PERSON
ejpam-3559	2	9	jr.2,∗ 1	CARDINAL
ejpam-3559	2	10	del sur state college of agriculture and technology	ORG
ejpam-3559	2	11	bunawan	GPE
ejpam-3559	2	12	del sur	ORG
ejpam-3559	2	13	philippines 2 department	ORG
ejpam-3559	2	14	mindanao state university iligan institute of technology	ORG
ejpam-3559	2	15	9200	CARDINAL
ejpam-3559	2	16	iligan city	GPE
ejpam-3559	2	17	philippines	GPE
ejpam-3559	3	1	∗	CARDINAL
ejpam-3559	3	2	6=	CARDINAL
ejpam-3559	3	3	⊆	CARDINAL
ejpam-3559	3	4	6=	CARDINAL
ejpam-3559	3	5	⊆	CARDINAL
ejpam-3559	4	1	01	DATE
ejpam-3559	4	2	two	CARDINAL
ejpam-3559	5	1	2010	DATE
ejpam-3559	5	2	06f35	CARDINAL
ejpam-3559	5	3	03g25	CARDINAL
ejpam-3559	5	4	1	CARDINAL
ejpam-3559	6	1	2	CARDINAL
ejpam-3559	6	2	algebraic	PERSON
ejpam-3559	10	1	topological	ORG
ejpam-3559	11	1	y. imai	PERSON
ejpam-3559	11	2	k. iséki	PERSON
ejpam-3559	12	1	5	CARDINAL
ejpam-3559	12	2	1966	DATE
ejpam-3559	14	1	r. patangan	PERSON
ejpam-3559	14	2	sergio.canoy@g.msuiit.edu.ph	ORG
ejpam-3559	14	3	s. canoy, jr.	PERSON
ejpam-3559	14	4	1524	CARDINAL
ejpam-3559	15	1	2019	DATE
ejpam-3559	16	1	r. patangan	PERSON
ejpam-3559	16	2	s. canoy, jr.	PERSON
ejpam-3559	17	1	j. pure	PERSON
ejpam-3559	17	2	12	CARDINAL
ejpam-3559	17	3	4	CARDINAL
ejpam-3559	17	4	2019	CARDINAL
ejpam-3559	17	5	1524-1532 1525	DATE
ejpam-3559	17	6	f. marty	PERSON
ejpam-3559	18	1	8th	ORDINAL
ejpam-3559	18	2	congress	ORG
ejpam-3559	18	3	scandinavian	NORP
ejpam-3559	18	4	1934	DATE
ejpam-3559	19	1	y.b.	PERSON
ejpam-3559	19	2	jun et al	PERSON
ejpam-3559	20	1	6	CARDINAL
ejpam-3559	21	1	8	CARDINAL
ejpam-3559	21	2	6=	CARDINAL
ejpam-3559	21	3	⊆	CARDINAL
ejpam-3559	21	4	6=	CARDINAL
ejpam-3559	21	5	⊆	CARDINAL
ejpam-3559	22	1	∗	CARDINAL
ejpam-3559	23	1	two	CARDINAL
ejpam-3559	24	1	0	CARDINAL
ejpam-3559	24	2	∈	ORG
ejpam-3559	24	3	∗	CARDINAL
ejpam-3559	24	4	∗	CARDINAL
ejpam-3559	24	5	⊆	CARDINAL
ejpam-3559	25	1	∈	ORG
ejpam-3559	25	2	∗	CARDINAL
ejpam-3559	25	3	01	DATE
ejpam-3559	25	4	02	DATE
ejpam-3559	26	1	⊆	CARDINAL
ejpam-3559	29	1	∈	ORG
ejpam-3559	30	1	∗	CARDINAL
ejpam-3559	31	1	∈	ORG
ejpam-3559	36	1	0	DATE
ejpam-3559	36	2	∗2	GPE
ejpam-3559	36	3	0	CARDINAL
ejpam-3559	36	4	0	CARDINAL
ejpam-3559	37	1	∗	CARDINAL
ejpam-3559	37	2	⊕	GPE
ejpam-3559	39	1	01	DATE
ejpam-3559	40	1	∈	ORG
ejpam-3559	41	1	a1 ∗1 a2	PRODUCT
ejpam-3559	42	1	⊆	CARDINAL
ejpam-3559	42	2	⊆	CARDINAL
ejpam-3559	42	3	∈	ORG
ejpam-3559	42	4	0	CARDINAL
ejpam-3559	42	5	01, 02	DATE
ejpam-3559	43	1	∗	CARDINAL
ejpam-3559	44	1	2	CARDINAL
ejpam-3559	44	2	2.1	CARDINAL
ejpam-3559	45	1	1	CARDINAL
ejpam-3559	45	2	r. patangan	PERSON
ejpam-3559	45	3	s. canoy, jr.	PERSON
ejpam-3559	46	1	j. pure	PERSON
ejpam-3559	46	2	12	CARDINAL
ejpam-3559	46	3	4	CARDINAL
ejpam-3559	46	4	2019	CARDINAL
ejpam-3559	46	5	1524-1532 1526	DATE
ejpam-3559	50	1	⊆	CARDINAL
ejpam-3559	50	2	0	CARDINAL
ejpam-3559	50	3	∈	ORG
ejpam-3559	51	1	0 ∈	CARDINAL
ejpam-3559	51	2	0	CARDINAL
ejpam-3559	52	1	2.2	CARDINAL
ejpam-3559	53	1	8	CARDINAL
ejpam-3559	53	2	⊆	CARDINAL
ejpam-3559	56	1	⊆	CARDINAL
ejpam-3559	56	2	6=	CARDINAL
ejpam-3559	56	3	0	CARDINAL
ejpam-3559	56	4	0	CARDINAL
ejpam-3559	58	1	6=	CARDINAL
ejpam-3559	58	2	∈	ORG
ejpam-3559	61	1	∀x	ORG
ejpam-3559	61	2	∈	PRODUCT
ejpam-3559	61	3	2.3	CARDINAL
ejpam-3559	62	1	9	CARDINAL
ejpam-3559	62	2	6=	CARDINAL
ejpam-3559	62	3	⊆	CARDINAL
ejpam-3559	62	4	h. theorem 2.4	ORG
ejpam-3559	63	1	8	CARDINAL
ejpam-3559	64	1	6=	CARDINAL
ejpam-3559	64	2	⊆	CARDINAL
ejpam-3559	64	3	h. 3	DATE
ejpam-3559	64	4	3.1	CARDINAL
ejpam-3559	65	1	2	CARDINAL
ejpam-3559	65	2	2	CARDINAL
ejpam-3559	67	1	⊆	CARDINAL
ejpam-3559	67	2	⊆	CARDINAL
ejpam-3559	67	3	⊆	CARDINAL
ejpam-3559	69	1	⊆	CARDINAL
ejpam-3559	70	1	∩h1	GPE
ejpam-3559	72	1	0	CARDINAL
ejpam-3559	72	2	∈	ORG
ejpam-3559	73	1	6=	CARDINAL
ejpam-3559	73	2	0	CARDINAL
ejpam-3559	74	1	6=	CARDINAL
ejpam-3559	74	2	6=	CARDINAL
ejpam-3559	74	3	∈	ORG
ejpam-3559	75	1	0	CARDINAL
ejpam-3559	76	1	∈	ORG
ejpam-3559	77	1	∈	ORG
ejpam-3559	79	1	⊆	CARDINAL
ejpam-3559	82	1	3.2	CARDINAL
ejpam-3559	83	1	2	CARDINAL
ejpam-3559	83	2	2	CARDINAL
ejpam-3559	85	1	∈	ORG
ejpam-3559	86	1	6=	CARDINAL
ejpam-3559	86	2	2.2(iii	TIME
ejpam-3559	86	3	⊆	CARDINAL
ejpam-3559	86	4	0	CARDINAL
ejpam-3559	87	1	⊆	CARDINAL
ejpam-3559	87	2	0	CARDINAL
ejpam-3559	87	3	⊆	CARDINAL
ejpam-3559	88	1	0	CARDINAL
ejpam-3559	88	2	6=	CARDINAL
ejpam-3559	88	3	2.2(iii	TIME
ejpam-3559	88	4	6=	CARDINAL
ejpam-3559	88	5	6=	CARDINAL
ejpam-3559	88	6	∈	ORG
ejpam-3559	89	1	6=	CARDINAL
ejpam-3559	89	2	∈	ORG
ejpam-3559	91	1	⊆	CARDINAL
ejpam-3559	92	1	r. patangan	PERSON
ejpam-3559	92	2	s. canoy, jr.	PERSON
ejpam-3559	93	1	j. pure	PERSON
ejpam-3559	93	2	12	CARDINAL
ejpam-3559	93	3	4	CARDINAL
ejpam-3559	93	4	2019	CARDINAL
ejpam-3559	93	5	1524-1532 1527	DATE
ejpam-3559	93	6	∈	ORG
ejpam-3559	94	1	2.2(iii	TIME
ejpam-3559	95	1	⊆	CARDINAL
ejpam-3559	95	2	0	CARDINAL
ejpam-3559	95	3	u = rh(d	ORG
ejpam-3559	97	1	6=	CARDINAL
ejpam-3559	98	1	∈	ORG
ejpam-3559	99	1	w ∈	PERSON
ejpam-3559	100	1	w ∈	PERSON
ejpam-3559	101	1	6	CARDINAL
ejpam-3559	101	2	6	CARDINAL
ejpam-3559	104	1	6=	CARDINAL
ejpam-3559	104	2	0	CARDINAL
ejpam-3559	104	3	6=	CARDINAL
ejpam-3559	104	4	2.2(iii	TIME
ejpam-3559	104	5	6=	CARDINAL
ejpam-3559	104	6	6=	CARDINAL
ejpam-3559	105	1	∈	ORG
ejpam-3559	105	2	⊆	CARDINAL
ejpam-3559	106	1	⊆	CARDINAL
ejpam-3559	108	1	4	CARDINAL
ejpam-3559	108	2	∈	ORG
ejpam-3559	109	1	dh2	NORP
ejpam-3559	109	2	∈	ORG
ejpam-3559	111	1	tx	ORG
ejpam-3559	111	2	y ∈ dh2	ORG
ejpam-3559	113	1	⋃	PERSON
ejpam-3559	115	1	4.1	CARDINAL
ejpam-3559	120	1	∈	ORG
ejpam-3559	120	2	∈	ORG
ejpam-3559	120	3	⇔ x	PERSON
ejpam-3559	122	1	4.2	CARDINAL
ejpam-3559	124	1	⊆	CARDINAL
ejpam-3559	124	2	⊆	CARDINAL
ejpam-3559	130	1	r. patangan	PERSON
ejpam-3559	130	2	s. canoy, jr.	PERSON
ejpam-3559	131	1	j. pure	PERSON
ejpam-3559	131	2	12	CARDINAL
ejpam-3559	131	3	4	CARDINAL
ejpam-3559	131	4	2019	CARDINAL
ejpam-3559	131	5	1524-1532 1528	DATE
ejpam-3559	131	6	⋃	PERSON
ejpam-3559	131	7	⊆	CARDINAL
ejpam-3559	131	8	tx	ORG
ejpam-3559	131	9	⊆	PRODUCT
ejpam-3559	131	10	∈	ORG
ejpam-3559	133	1	tx	ORG
ejpam-3559	135	1	∈	ORG
ejpam-3559	135	2	∈	ORG
ejpam-3559	135	3	∈	ORG
ejpam-3559	140	1	lh2(bα) ∀α ∈	ORG
ejpam-3559	142	1	∀α	ORG
ejpam-3559	142	2	⇔ x	PERSON
ejpam-3559	145	1	⋃	PERSON
ejpam-3559	145	2	⊆	CARDINAL
ejpam-3559	145	3	tx	ORG
ejpam-3559	145	4	⊆	PRODUCT
ejpam-3559	145	5	4.1	CARDINAL
ejpam-3559	147	1	⋃	PERSON
ejpam-3559	152	1	tx	ORG
ejpam-3559	153	1	r. patangan	PERSON
ejpam-3559	153	2	s. canoy, jr.	PERSON
ejpam-3559	154	1	j. pure	PERSON
ejpam-3559	154	2	12	CARDINAL
ejpam-3559	154	3	4	CARDINAL
ejpam-3559	154	4	2019	CARDINAL
ejpam-3559	154	5	1524-1532 1529	DATE
ejpam-3559	154	6	4.3	CARDINAL
ejpam-3559	159	1	⊆	CARDINAL
ejpam-3559	160	1	⋃	PERSON
ejpam-3559	160	2	⊆	CARDINAL
ejpam-3559	160	3	tx	ORG
ejpam-3559	160	4	⊆	PRODUCT
ejpam-3559	160	5	⋃	DATE
ejpam-3559	160	6	tx	ORG
ejpam-3559	160	7	4.2(iii	CARDINAL
ejpam-3559	161	1	⊆	CARDINAL
ejpam-3559	162	1	∈	ORG
ejpam-3559	163	1	⊆	CARDINAL
ejpam-3559	163	2	⊆	CARDINAL
ejpam-3559	163	3	= lh(a×b	PERSON
ejpam-3559	163	4	4.2(i	CARDINAL
ejpam-3559	164	1	⊆	CARDINAL
ejpam-3559	166	1	4.4	CARDINAL
ejpam-3559	170	1	∈	ORG
ejpam-3559	170	2	∈	ORG
ejpam-3559	170	3	∈	ORG
ejpam-3559	170	4	⇔ x	PERSON
ejpam-3559	172	1	4.5	CARDINAL
ejpam-3559	174	1	⊆	CARDINAL
ejpam-3559	174	2	⊆	CARDINAL
ejpam-3559	179	1	⊆	CARDINAL
ejpam-3559	179	2	tx	ORG
ejpam-3559	179	3	⊆	PRODUCT
ejpam-3559	179	4	∈	ORG
ejpam-3559	181	1	x∈p tx	PERSON
ejpam-3559	182	1	r. patangan	PERSON
ejpam-3559	182	2	s. canoy, jr.	PERSON
ejpam-3559	183	1	j. pure	PERSON
ejpam-3559	183	2	12	CARDINAL
ejpam-3559	183	3	4	CARDINAL
ejpam-3559	183	4	2019	CARDINAL
ejpam-3559	183	5	1524-1532 1530	DATE
ejpam-3559	184	1	∈	ORG
ejpam-3559	184	2	∈	ORG
ejpam-3559	189	1	y ∈	PERSON
ejpam-3559	190	1	∀α ∈	ORG
ejpam-3559	191	1	⇔ x	PERSON
ejpam-3559	191	2	y ∈ rh2	ORG
ejpam-3559	193	1	⊆	CARDINAL
ejpam-3559	193	2	tx	ORG
ejpam-3559	193	3	⊆	PRODUCT
ejpam-3559	193	4	∈	ORG
ejpam-3559	194	1	4.4	CARDINAL
ejpam-3559	198	1	x∈p tx	PERSON
ejpam-3559	199	1	4.6	CARDINAL
ejpam-3559	202	1	∈	ORG
ejpam-3559	203	1	e ⊆ h	ORG
ejpam-3559	204	1	⊆	CARDINAL
ejpam-3559	204	2	tx	ORG
ejpam-3559	204	3	⊆	PRODUCT
ejpam-3559	204	4	∈	ORG
ejpam-3559	205	1	1531	DATE
ejpam-3559	206	1	x∈p tx	PERSON
ejpam-3559	206	2	∈	ORG
ejpam-3559	207	1	⊆	CARDINAL
ejpam-3559	209	1	⊆	CARDINAL
ejpam-3559	209	2	⊆	CARDINAL
ejpam-3559	210	1	∈	ORG
ejpam-3559	210	2	⊆	CARDINAL
ejpam-3559	215	1	two	CARDINAL
ejpam-3559	216	1	the philippine department of science and technology	ORG
ejpam-3559	216	2	dostasthrdp	ORG
ejpam-3559	216	3	msu-iligan institute of technology	ORG
ejpam-3559	217	1	1	CARDINAL
ejpam-3559	217	2	j vilela	PERSON
ejpam-3559	218	1	zero	CARDINAL
ejpam-3559	219	1	far east journal of mathematical sciences	ORG
ejpam-3559	219	2	103(4	CARDINAL
ejpam-3559	219	3	743	CARDINAL
ejpam-3559	219	4	2018	DATE
ejpam-3559	220	1	2	CARDINAL
ejpam-3559	222	1	2008	DATE
ejpam-3559	223	1	3	CARDINAL
ejpam-3559	223	2	y jun.	PERSON
ejpam-3559	224	1	k-algebras	ORG
ejpam-3559	225	1	mathematicae japonicae	PERSON
ejpam-3559	225	2	113	CARDINAL
ejpam-3559	225	3	2000	DATE
ejpam-3559	226	1	4	CARDINAL
ejpam-3559	227	1	iranian	NORP
ejpam-3559	227	2	11(2	CARDINAL
ejpam-3559	227	3	43	CARDINAL
ejpam-3559	227	4	2016	DATE
ejpam-3559	228	1	5	CARDINAL
ejpam-3559	228	2	k iséki	PERSON
ejpam-3559	230	1	japan academy	ORG
ejpam-3559	230	2	42	CARDINAL
ejpam-3559	230	3	19-22	CARDINAL
ejpam-3559	231	1	6	CARDINAL
ejpam-3559	231	2	x xin	PERSON
ejpam-3559	233	1	italian	NORP
ejpam-3559	233	2	8	CARDINAL
ejpam-3559	233	3	127-136	CARDINAL
ejpam-3559	233	4	2000	DATE
ejpam-3559	234	1	7	CARDINAL
ejpam-3559	234	2	f. marty	PERSON
ejpam-3559	235	1	sun une	PERSON
ejpam-3559	236	1	stockholm	GPE
ejpam-3559	236	2	8th	ORDINAL
ejpam-3559	236	3	congress	ORG
ejpam-3559	237	1	45-49, 1934	DATE
ejpam-3559	238	1	8	CARDINAL
ejpam-3559	238	2	jr.	PERSON
ejpam-3559	240	1	jp journal	ORG
ejpam-3559	240	2	40	CARDINAL
ejpam-3559	240	3	787-797	CARDINAL
ejpam-3559	240	4	2018	DATE
ejpam-3559	241	1	1532	DATE
ejpam-3559	241	2	9	CARDINAL
ejpam-3559	241	3	jr.	PERSON
ejpam-3559	243	1	jp journal	ORG
ejpam-3559	243	2	40	CARDINAL
ejpam-3559	243	3	321-332	CARDINAL
ejpam-3559	243	4	2018	DATE