id	sid	eid	entity	type
ejpam-6178	1	1	european journal	ORG
ejpam-6178	1	2	2025	DATE
ejpam-6178	1	3	18	CARDINAL
ejpam-6178	1	4	4	CARDINAL
ejpam-6178	1	5	6178	DATE
ejpam-6178	1	6	1307-5543	DATE
ejpam-6178	1	7	new york	GPE
ejpam-6178	1	8	nuñez1,∗	ORG
ejpam-6178	1	9	katrina	PERSON
ejpam-6178	1	10	fuentes1 1	FAC
ejpam-6178	1	11	university of san carlos	ORG
ejpam-6178	1	12	6000	CARDINAL
ejpam-6178	1	13	cebu city	GPE
ejpam-6178	1	14	philippines	GPE
ejpam-6178	8	1	2020	DATE
ejpam-6178	8	2	54a05	CARDINAL
ejpam-6178	8	3	54c05	DATE
ejpam-6178	8	4	54c10	CARDINAL
ejpam-6178	8	5	1	CARDINAL
ejpam-6178	9	1	the years	DATE
ejpam-6178	9	2	2,0	CARDINAL
ejpam-6178	9	3	algebras	ORG
ejpam-6178	9	4	1	CARDINAL
ejpam-6178	9	5	2	CARDINAL
ejpam-6178	9	6	3	CARDINAL
ejpam-6178	9	7	4	CARDINAL
ejpam-6178	10	1	j. neggers	PERSON
ejpam-6178	10	2	h.s. kim	PERSON
ejpam-6178	10	3	5	CARDINAL
ejpam-6178	11	1	6	CARDINAL
ejpam-6178	11	2	8	CARDINAL
ejpam-6178	11	3	9	CARDINAL
ejpam-6178	12	1	2022	CARDINAL
ejpam-6178	12	2	k. belleza	PERSON
ejpam-6178	12	3	j.r.	PERSON
ejpam-6178	12	4	albaracin	PERSON
ejpam-6178	13	1	10	CARDINAL
ejpam-6178	14	1	j.e bolima	LOC
ejpam-6178	14	2	k.b.	PERSON
ejpam-6178	16	1	11	CARDINAL
ejpam-6178	17	1	2,0	CARDINAL
ejpam-6178	17	2	2,0	CARDINAL
ejpam-6178	17	3	12	CARDINAL
ejpam-6178	18	1	13	CARDINAL
ejpam-6178	19	1	r. nuñez	PERSON
ejpam-6178	19	2	kebelleza@usc.edu.ph	PERSON
ejpam-6178	19	3	k. b. fuentes	PERSON
ejpam-6178	20	1	1	CARDINAL
ejpam-6178	20	2	2025	CARDINAL
ejpam-6178	21	1	r. nuñez	PERSON
ejpam-6178	21	2	k. b. fuentes	PERSON
ejpam-6178	22	1	j. pure	PERSON
ejpam-6178	22	2	18	CARDINAL
ejpam-6178	22	3	4	CARDINAL
ejpam-6178	22	4	2025	CARDINAL
ejpam-6178	22	5	6178 2	DATE
ejpam-6178	22	6	4	CARDINAL
ejpam-6178	22	7	14	CARDINAL
ejpam-6178	23	1	8	CARDINAL
ejpam-6178	24	1	15	CARDINAL
ejpam-6178	25	1	topological	ORG
ejpam-6178	25	2	14	CARDINAL
ejpam-6178	26	1	a. satirad	PERSON
ejpam-6178	26	2	a. iampan	PERSON
ejpam-6178	26	3	topological	ORG
ejpam-6178	26	4	16	CARDINAL
ejpam-6178	29	1	algebras	ORG
ejpam-6178	29	2	algebraic	PERSON
ejpam-6178	31	1	2	CARDINAL
ejpam-6178	31	2	1	CARDINAL
ejpam-6178	32	1	17	CARDINAL
ejpam-6178	32	2	1	CARDINAL
ejpam-6178	32	3	1	CARDINAL
ejpam-6178	33	1	1	CARDINAL
ejpam-6178	33	2	1	CARDINAL
ejpam-6178	34	1	1	CARDINAL
ejpam-6178	34	2	z. example	PERSON
ejpam-6178	36	1	10	CARDINAL
ejpam-6178	36	2	1	CARDINAL
ejpam-6178	36	3	1	CARDINAL
ejpam-6178	36	4	1 1	CARDINAL
ejpam-6178	36	5	1	CARDINAL
ejpam-6178	36	6	1	CARDINAL
ejpam-6178	36	7	1	CARDINAL
ejpam-6178	36	8	1	CARDINAL
ejpam-6178	37	1	2	CARDINAL
ejpam-6178	38	1	10	CARDINAL
ejpam-6178	38	2	x.	ORG
ejpam-6178	38	3	s.	PERSON
ejpam-6178	38	4	3	CARDINAL
ejpam-6178	39	1	10	CARDINAL
ejpam-6178	39	2	x.	GPE
ejpam-6178	39	3	y ∈ n	PERSON
ejpam-6178	40	1	x. r. nuñez	PERSON
ejpam-6178	40	2	k. b. fuentes	PERSON
ejpam-6178	41	1	j. pure	PERSON
ejpam-6178	41	2	18	CARDINAL
ejpam-6178	41	3	4	CARDINAL
ejpam-6178	41	4	2025	CARDINAL
ejpam-6178	41	5	6178 3	DATE
ejpam-6178	41	6	15	CARDINAL
ejpam-6178	41	7	1	CARDINAL
ejpam-6178	42	1	10	CARDINAL
ejpam-6178	42	2	1	CARDINAL
ejpam-6178	42	3	4	CARDINAL
ejpam-6178	43	1	10	CARDINAL
ejpam-6178	43	2	1	CARDINAL
ejpam-6178	43	3	x.	ORG
ejpam-6178	45	1	∈	ORG
ejpam-6178	46	1	1	CARDINAL
ejpam-6178	47	1	11	CARDINAL
ejpam-6178	48	1	1	CARDINAL
ejpam-6178	48	2	y ∈	PERSON
ejpam-6178	50	1	2	CARDINAL
ejpam-6178	51	1	11	CARDINAL
ejpam-6178	51	2	1	CARDINAL
ejpam-6178	52	1	∗	CARDINAL
ejpam-6178	52	2	1]s	CARDINAL
ejpam-6178	54	1	s.	PERSON
ejpam-6178	54	2	5	CARDINAL
ejpam-6178	55	1	11	CARDINAL
ejpam-6178	55	2	1x	CARDINAL
ejpam-6178	56	1	∗	CARDINAL
ejpam-6178	56	2	1y	CARDINAL
ejpam-6178	58	1	y ∈	PERSON
ejpam-6178	58	2	φ	ORG
ejpam-6178	58	3	φ	ORG
ejpam-6178	58	4	one	CARDINAL
ejpam-6178	59	1	φ	ORG
ejpam-6178	59	2	1y	CARDINAL
ejpam-6178	60	1	3	CARDINAL
ejpam-6178	61	1	11	CARDINAL
ejpam-6178	61	2	1x	CARDINAL
ejpam-6178	61	3	∗	CARDINAL
ejpam-6178	61	4	1y	CARDINAL
ejpam-6178	61	5	φ	ORG
ejpam-6178	61	6	1x	CARDINAL
ejpam-6178	62	1	4	CARDINAL
ejpam-6178	63	1	11	CARDINAL
ejpam-6178	63	2	1	CARDINAL
ejpam-6178	64	1	∗	CARDINAL
ejpam-6178	64	2	1]s	CARDINAL
ejpam-6178	65	1	kerφ =	PERSON
ejpam-6178	66	1	1	CARDINAL
ejpam-6178	67	1	11	CARDINAL
ejpam-6178	67	2	1x	CARDINAL
ejpam-6178	67	3	∗	CARDINAL
ejpam-6178	67	4	1y	CARDINAL
ejpam-6178	68	1	φ	PERSON
ejpam-6178	68	2	1]kerφ	CARDINAL
ejpam-6178	69	1	6	CARDINAL
ejpam-6178	70	1	18	CARDINAL
ejpam-6178	74	1	7	CARDINAL
ejpam-6178	75	1	18	CARDINAL
ejpam-6178	78	1	r. nuñez	PERSON
ejpam-6178	78	2	k. b. fuentes	PERSON
ejpam-6178	79	1	j. pure	PERSON
ejpam-6178	79	2	18	CARDINAL
ejpam-6178	79	3	4	CARDINAL
ejpam-6178	79	4	2025	CARDINAL
ejpam-6178	79	5	6178 4	DATE
ejpam-6178	79	6	15	CARDINAL
ejpam-6178	79	7	5	CARDINAL
ejpam-6178	80	1	18	CARDINAL
ejpam-6178	80	2	⊆	CARDINAL
ejpam-6178	81	1	∈	ORG
ejpam-6178	81	2	⊆	CARDINAL
ejpam-6178	81	3	∈	ORG
ejpam-6178	81	4	⊆	CARDINAL
ejpam-6178	81	5	8	DATE
ejpam-6178	82	1	18	CARDINAL
ejpam-6178	85	1	6	CARDINAL
ejpam-6178	86	1	18	CARDINAL
ejpam-6178	87	1	f(x	ORG
ejpam-6178	87	2	w ⊆	ORG
ejpam-6178	88	1	7	CARDINAL
ejpam-6178	89	1	18	CARDINAL
ejpam-6178	90	1	⊆	CARDINAL
ejpam-6178	91	1	9	CARDINAL
ejpam-6178	92	1	18	CARDINAL
ejpam-6178	95	1	∏ α	GPE
ejpam-6178	96	1	10	CARDINAL
ejpam-6178	97	1	10	CARDINAL
ejpam-6178	99	1	2	CARDINAL
ejpam-6178	101	1	∈	ORG
ejpam-6178	101	2	⊆	CARDINAL
ejpam-6178	101	3	11	DATE
ejpam-6178	102	1	10	CARDINAL
ejpam-6178	103	1	3	CARDINAL
ejpam-6178	104	1	10	CARDINAL
ejpam-6178	104	2	nonempty	ORG
ejpam-6178	104	3	x.	PERSON
ejpam-6178	104	4	∈	ORG
ejpam-6178	105	1	4	CARDINAL
ejpam-6178	106	1	nonempty	ORG
ejpam-6178	106	2	x.	DATE
ejpam-6178	106	3	8	DATE
ejpam-6178	107	1	10	CARDINAL
ejpam-6178	108	1	u(x	ORG
ejpam-6178	108	2	u(x	ORG
ejpam-6178	109	1	r. nuñez	PERSON
ejpam-6178	109	2	k. b. fuentes	PERSON
ejpam-6178	110	1	j. pure	PERSON
ejpam-6178	110	2	18	CARDINAL
ejpam-6178	110	3	4	CARDINAL
ejpam-6178	110	4	2025	CARDINAL
ejpam-6178	110	5	6178 5	DATE
ejpam-6178	110	6	15	CARDINAL
ejpam-6178	110	7	2	CARDINAL
ejpam-6178	111	1	10	CARDINAL
ejpam-6178	111	2	1	CARDINAL
ejpam-6178	111	3	x,∅	ORG
ejpam-6178	111	4	1	CARDINAL
ejpam-6178	113	1	8	CARDINAL
ejpam-6178	114	1	9	CARDINAL
ejpam-6178	115	1	19	CARDINAL
ejpam-6178	115	2	⊆	CARDINAL
ejpam-6178	116	1	⊆	CARDINAL
ejpam-6178	117	1	⊆	CARDINAL
ejpam-6178	118	1	⊆	CARDINAL
ejpam-6178	118	2	⊆	CARDINAL
ejpam-6178	118	3	⊆	CARDINAL
ejpam-6178	119	1	10	CARDINAL
ejpam-6178	120	1	19	CARDINAL
ejpam-6178	123	1	∪i∈i f−1(ai	PERSON
ejpam-6178	123	2	f−1(ai	PERSON
ejpam-6178	124	1	3	CARDINAL
ejpam-6178	127	1	first	ORDINAL
ejpam-6178	128	1	3	CARDINAL
ejpam-6178	129	1	4	CARDINAL
ejpam-6178	131	1	11	CARDINAL
ejpam-6178	132	1	φ	ORG
ejpam-6178	133	1	x/s. furthermore	ORG
ejpam-6178	133	2	φ	ORG
ejpam-6178	136	1	4	DATE
ejpam-6178	136	2	φ	ORG
ejpam-6178	137	1	⊆	CARDINAL
ejpam-6178	143	1	10 (ii	CARDINAL
ejpam-6178	143	2	φ−1(z1	GPE
ejpam-6178	143	3	∩z2	GPE
ejpam-6178	147	1	φ−1(zi	PERSON
ejpam-6178	147	2	10	CARDINAL
ejpam-6178	147	3	φ−1(zi	PERSON
ejpam-6178	147	4	∈	ORG
ejpam-6178	148	1	∪i∈i zi ∈	PERSON
ejpam-6178	149	1	x/s. furthermore	ORG
ejpam-6178	149	2	φ	ORG
ejpam-6178	150	1	3	CARDINAL
ejpam-6178	150	2	11	CARDINAL
ejpam-6178	151	1	3	CARDINAL
ejpam-6178	151	2	2	CARDINAL
ejpam-6178	151	3	1	CARDINAL
ejpam-6178	151	4	x.	EVENT
ejpam-6178	152	1	1]s	CARDINAL
ejpam-6178	152	2	1	CARDINAL
ejpam-6178	153	1	1	CARDINAL
ejpam-6178	154	1	1	CARDINAL
ejpam-6178	155	1	r. nuñez	PERSON
ejpam-6178	155	2	k. b. fuentes	PERSON
ejpam-6178	156	1	j. pure	PERSON
ejpam-6178	156	2	18	CARDINAL
ejpam-6178	156	3	4	CARDINAL
ejpam-6178	156	4	2025	CARDINAL
ejpam-6178	156	5	6178 6	DATE
ejpam-6178	156	6	11	DATE
ejpam-6178	156	7	∗	CARDINAL
ejpam-6178	157	1	∗	CARDINAL
ejpam-6178	158	1	3	CARDINAL
ejpam-6178	162	1	12	CARDINAL
ejpam-6178	163	1	∗	CARDINAL
ejpam-6178	165	1	φ	ORG
ejpam-6178	167	1	∈ x	QUANTITY
ejpam-6178	167	2	w	ORG
ejpam-6178	169	1	φ	ORG
ejpam-6178	169	2	11	CARDINAL
ejpam-6178	172	1	a]s	ORG
ejpam-6178	172	2	∈ w	ORG
ejpam-6178	173	1	8	CARDINAL
ejpam-6178	173	2	⊆	CARDINAL
ejpam-6178	176	1	φ	PERSON
ejpam-6178	181	1	∈	ORG
ejpam-6178	182	1	⊆	CARDINAL
ejpam-6178	183	1	φ	ORG
ejpam-6178	184	1	8	CARDINAL
ejpam-6178	184	2	∗	CARDINAL
ejpam-6178	186	1	4	CARDINAL
ejpam-6178	187	1	3	CARDINAL
ejpam-6178	189	1	13	CARDINAL
ejpam-6178	191	1	φ(a	ORG
ejpam-6178	191	2	φ	PERSON
ejpam-6178	192	1	φ	ORG
ejpam-6178	194	1	φ(a	ORG
ejpam-6178	195	1	∈	ORG
ejpam-6178	197	1	∈	ORG
ejpam-6178	199	1	a]s	ORG
ejpam-6178	199	2	∈	ORG
ejpam-6178	199	3	1	CARDINAL
ejpam-6178	199	4	⊆	CARDINAL
ejpam-6178	199	5	⊆	CARDINAL
ejpam-6178	199	6	8)	CARDINAL
ejpam-6178	201	1	⊆	CARDINAL
ejpam-6178	201	2	r. nuñez	PERSON
ejpam-6178	201	3	k. b. fuentes	PERSON
ejpam-6178	202	1	j. pure	PERSON
ejpam-6178	202	2	18	CARDINAL
ejpam-6178	202	3	4	CARDINAL
ejpam-6178	202	4	2025	CARDINAL
ejpam-6178	202	5	6178 7	DATE
ejpam-6178	202	6	15 u1(x)◦	PERCENT
ejpam-6178	202	7	⊆	CARDINAL
ejpam-6178	203	1	⊆	CARDINAL
ejpam-6178	203	2	⊆	CARDINAL
ejpam-6178	206	1	y ∼s a.	PERSON
ejpam-6178	206	2	φ(y	ORG
ejpam-6178	208	1	∈	ORG
ejpam-6178	211	1	⊆	CARDINAL
ejpam-6178	212	1	2	CARDINAL
ejpam-6178	212	2	φ(a	ORG
ejpam-6178	212	3	φ	ORG
ejpam-6178	213	1	1	CARDINAL
ejpam-6178	213	2	13	CARDINAL
ejpam-6178	213	3	12	CARDINAL
ejpam-6178	216	1	∗	CARDINAL
ejpam-6178	217	1	12	CARDINAL
ejpam-6178	219	1	1x	CARDINAL
ejpam-6178	219	2	∗	CARDINAL
ejpam-6178	219	3	1y	CARDINAL
ejpam-6178	219	4	φ	PERSON
ejpam-6178	220	1	5	CARDINAL
ejpam-6178	220	2	2	CARDINAL
ejpam-6178	220	3	1	CARDINAL
ejpam-6178	221	1	φ	ORG
ejpam-6178	222	1	φ	ORG
ejpam-6178	223	1	φ	PERSON
ejpam-6178	224	1	13	CARDINAL
ejpam-6178	225	1	φ	ORG
ejpam-6178	225	2	φ	ORG
ejpam-6178	226	1	6	CARDINAL
ejpam-6178	227	1	example 5	DATE
ejpam-6178	227	2	φ	ORG
ejpam-6178	229	1	14	DATE
ejpam-6178	230	1	φ	ORG
ejpam-6178	230	2	φ	ORG
ejpam-6178	230	3	φ	ORG
ejpam-6178	232	1	φ	ORG
ejpam-6178	232	2	11	DATE
ejpam-6178	232	3	φ	ORG
ejpam-6178	233	1	12	CARDINAL
ejpam-6178	234	1	12	CARDINAL
ejpam-6178	234	2	φ	ORG
ejpam-6178	236	1	13	CARDINAL
ejpam-6178	236	2	1	CARDINAL
ejpam-6178	236	3	φ	ORG
ejpam-6178	237	1	φ	PERSON
ejpam-6178	238	1	two	CARDINAL
ejpam-6178	239	1	r. nuñez	PERSON
ejpam-6178	239	2	k. b. fuentes	PERSON
ejpam-6178	240	1	j. pure	PERSON
ejpam-6178	240	2	18	CARDINAL
ejpam-6178	240	3	4	CARDINAL
ejpam-6178	240	4	2025	CARDINAL
ejpam-6178	240	5	6178 8	DATE
ejpam-6178	240	6	15	CARDINAL
ejpam-6178	243	1	∗	CARDINAL
ejpam-6178	246	1	1	CARDINAL
ejpam-6178	250	1	1	CARDINAL
ejpam-6178	257	1	2	CARDINAL
ejpam-6178	264	1	3	CARDINAL
ejpam-6178	264	2	φ	ORG
ejpam-6178	265	1	12	CARDINAL
ejpam-6178	268	1	⊆	CARDINAL
ejpam-6178	269	1	∈	ORG
ejpam-6178	271	1	w ⊆	ORG
ejpam-6178	271	2	2	CARDINAL
ejpam-6178	273	1	f−1(w	ORG
ejpam-6178	278	1	x′ ∈ ψ−1(w	TIME
ejpam-6178	278	2	x′ ∈ ψ−1(w	TIME
ejpam-6178	278	3	w	GPE
ejpam-6178	278	4	11	CARDINAL
ejpam-6178	278	5	x.	GPE
ejpam-6178	278	6	φ	ORG
ejpam-6178	279	1	w ⊆	ORG
ejpam-6178	279	2	f−1(w	ORG
ejpam-6178	279	3	⊆	CARDINAL
ejpam-6178	280	1	2	CARDINAL
ejpam-6178	280	2	⊆	CARDINAL
ejpam-6178	282	1	1,2,3	CARDINAL
ejpam-6178	283	1	13	CARDINAL
ejpam-6178	283	2	15	CARDINAL
ejpam-6178	284	1	13	CARDINAL
ejpam-6178	284	2	15	CARDINAL
ejpam-6178	284	3	2	CARDINAL
ejpam-6178	287	1	∗	CARDINAL
ejpam-6178	289	1	13	CARDINAL
ejpam-6178	289	2	2	CARDINAL
ejpam-6178	289	3	13	CARDINAL
ejpam-6178	289	4	2	CARDINAL
ejpam-6178	289	5	3	CARDINAL
ejpam-6178	292	1	∗	CARDINAL
ejpam-6178	294	1	r. nuñez	PERSON
ejpam-6178	294	2	k. b. fuentes	PERSON
ejpam-6178	295	1	j. pure	PERSON
ejpam-6178	295	2	18	CARDINAL
ejpam-6178	295	3	4	CARDINAL
ejpam-6178	295	4	2025	CARDINAL
ejpam-6178	295	5	6178 9	DATE
ejpam-6178	296	1	14	DATE
ejpam-6178	299	1	lemma 2.	ORG
ejpam-6178	300	1	x.	GPE
ejpam-6178	305	1	x.	GPE
ejpam-6178	306	1	x.	GPE
ejpam-6178	306	2	two	CARDINAL
ejpam-6178	307	1	16	CARDINAL
ejpam-6178	308	1	1x	CARDINAL
ejpam-6178	308	2	∗	CARDINAL
ejpam-6178	308	3	1y	CARDINAL
ejpam-6178	309	1	1y	CARDINAL
ejpam-6178	309	2	1x	CARDINAL
ejpam-6178	309	3	g(v	ORG
ejpam-6178	309	4	⊆	CARDINAL
ejpam-6178	310	1	1x	CARDINAL
ejpam-6178	310	2	1y	CARDINAL
ejpam-6178	310	3	⊆	CARDINAL
ejpam-6178	313	1	x.	GPE
ejpam-6178	315	1	∈	ORG
ejpam-6178	316	1	2	CARDINAL
ejpam-6178	318	1	db2, g(x	ORG
ejpam-6178	319	1	1y ∗	QUANTITY
ejpam-6178	319	2	1y	CARDINAL
ejpam-6178	319	3	∈	PRODUCT
ejpam-6178	319	4	1y	CARDINAL
ejpam-6178	320	1	1x	CARDINAL
ejpam-6178	320	2	g(v	ORG
ejpam-6178	320	3	⊆	CARDINAL
ejpam-6178	321	1	2	CARDINAL
ejpam-6178	322	1	db2	ORG
ejpam-6178	322	2	1x	CARDINAL
ejpam-6178	322	3	x.	GPE
ejpam-6178	322	4	∈	ORG
ejpam-6178	324	1	⊆	CARDINAL
ejpam-6178	324	2	⊆	CARDINAL
ejpam-6178	324	3	∗	CARDINAL
ejpam-6178	324	4	⊆	CARDINAL
ejpam-6178	324	5	⊆	CARDINAL
ejpam-6178	325	1	⊆	CARDINAL
ejpam-6178	326	1	r. nuñez	PERSON
ejpam-6178	326	2	k. b. fuentes	PERSON
ejpam-6178	327	1	j. pure	PERSON
ejpam-6178	327	2	18	CARDINAL
ejpam-6178	327	3	4	CARDINAL
ejpam-6178	327	4	2025	CARDINAL
ejpam-6178	327	5	6178 10	DATE
ejpam-6178	327	6	15	CARDINAL
ejpam-6178	327	7	⊆	CARDINAL
ejpam-6178	328	1	2	CARDINAL
ejpam-6178	328	2	x.	GPE
ejpam-6178	329	1	x.	GPE
ejpam-6178	330	1	2	CARDINAL
ejpam-6178	331	1	db2	ORG
ejpam-6178	331	2	1x	CARDINAL
ejpam-6178	331	3	1x	CARDINAL
ejpam-6178	333	1	1y	CARDINAL
ejpam-6178	333	2	u ⊆	ORG
ejpam-6178	333	3	g(b	GPE
ejpam-6178	334	1	2	CARDINAL
ejpam-6178	335	1	db2	ORG
ejpam-6178	335	2	1y ∗	QUANTITY
ejpam-6178	336	1	g(b	GPE
ejpam-6178	336	2	⊆	CARDINAL
ejpam-6178	337	1	⊆	CARDINAL
ejpam-6178	338	1	⊆	CARDINAL
ejpam-6178	339	1	u ∗ y ⊆ g(a	ORG
ejpam-6178	340	1	2, g(a	DATE
ejpam-6178	342	1	15	CARDINAL
ejpam-6178	344	1	1x	CARDINAL
ejpam-6178	344	2	∗	CARDINAL
ejpam-6178	344	3	1y	CARDINAL
ejpam-6178	344	4	φ	PERSON
ejpam-6178	345	1	15	DATE
ejpam-6178	345	2	two	CARDINAL
ejpam-6178	351	1	15	CARDINAL
ejpam-6178	352	1	7	CARDINAL
ejpam-6178	352	2	5	CARDINAL
ejpam-6178	352	3	6	CARDINAL
ejpam-6178	352	4	φ	ORG
ejpam-6178	352	5	φ	ORG
ejpam-6178	353	1	φ	PERSON
ejpam-6178	354	1	16	CARDINAL
ejpam-6178	356	1	1x	CARDINAL
ejpam-6178	356	2	∗	CARDINAL
ejpam-6178	356	3	1y	CARDINAL
ejpam-6178	357	1	1y	CARDINAL
ejpam-6178	357	2	1x	CARDINAL
ejpam-6178	357	3	g(v	ORG
ejpam-6178	357	4	⊆	CARDINAL
ejpam-6178	357	5	1x	CARDINAL
ejpam-6178	357	6	1y	CARDINAL
ejpam-6178	357	7	⊆	CARDINAL
ejpam-6178	358	1	14 (ii	CARDINAL
ejpam-6178	359	1	4	CARDINAL
ejpam-6178	359	2	one	CARDINAL
ejpam-6178	360	1	one	CARDINAL
ejpam-6178	360	2	15	CARDINAL
ejpam-6178	361	1	14 (ii	CARDINAL
ejpam-6178	362	1	r. nuñez	PERSON
ejpam-6178	362	2	k. b. fuentes	PERSON
ejpam-6178	363	1	j. pure	PERSON
ejpam-6178	363	2	18	CARDINAL
ejpam-6178	363	3	4	CARDINAL
ejpam-6178	363	4	2025	CARDINAL
ejpam-6178	363	5	6178 11	DATE
ejpam-6178	363	6	15	CARDINAL
ejpam-6178	364	1	x.	GPE
ejpam-6178	364	2	φ	ORG
ejpam-6178	364	3	φ	ORG
ejpam-6178	365	1	17	CARDINAL
ejpam-6178	366	1	∗	CARDINAL
ejpam-6178	366	2	1y	CARDINAL
ejpam-6178	368	1	topologically	ORG
ejpam-6178	370	1	1	CARDINAL
ejpam-6178	371	1	1x	CARDINAL
ejpam-6178	371	2	∗	CARDINAL
ejpam-6178	371	3	1y	CARDINAL
ejpam-6178	375	1	⊆	CARDINAL
ejpam-6178	376	1	g(v	ORG
ejpam-6178	376	2	⊆	CARDINAL
ejpam-6178	377	1	1y	CARDINAL
ejpam-6178	378	1	x.	GPE
ejpam-6178	378	2	13	DATE
ejpam-6178	379	1	φ(v	GPE
ejpam-6178	381	1	now	DATE
ejpam-6178	381	2	f(φ(v	ORG
ejpam-6178	386	1	x′	DATE
ejpam-6178	387	1	⊆	CARDINAL
ejpam-6178	389	1	⊆	CARDINAL
ejpam-6178	392	1	⊆	CARDINAL
ejpam-6178	392	2	one	CARDINAL
ejpam-6178	393	1	φ(v	ORG
ejpam-6178	393	2	⊆	CARDINAL
ejpam-6178	394	1	2	CARDINAL
ejpam-6178	396	1	x/s. then f([x]s	ORG
ejpam-6178	400	1	φ	ORG
ejpam-6178	401	1	g(w	ORG
ejpam-6178	402	1	2	CARDINAL
ejpam-6178	402	2	⊆	CARDINAL
ejpam-6178	404	1	⊆ g(w	ORG
ejpam-6178	406	1	a′	ORG
ejpam-6178	411	1	∈	ORG
ejpam-6178	411	2	⊆	CARDINAL
ejpam-6178	413	1	⊆	CARDINAL
ejpam-6178	414	1	6	CARDINAL
ejpam-6178	416	1	17	CARDINAL
ejpam-6178	417	1	1x	CARDINAL
ejpam-6178	417	2	one	CARDINAL
ejpam-6178	417	3	3	CARDINAL
ejpam-6178	417	4	17	DATE
ejpam-6178	418	1	15	DATE
ejpam-6178	419	1	6	CARDINAL
ejpam-6178	420	1	∗	CARDINAL
ejpam-6178	420	2	1y	CARDINAL
ejpam-6178	421	1	kerg	PERSON
ejpam-6178	421	2	1x	CARDINAL
ejpam-6178	423	1	4.	CARDINAL
ejpam-6178	426	1	k. b. fuentes	PERSON
ejpam-6178	427	1	j. pure	PERSON
ejpam-6178	427	2	18	CARDINAL
ejpam-6178	427	3	4	CARDINAL
ejpam-6178	427	4	2025	CARDINAL
ejpam-6178	427	5	6178 12	DATE
ejpam-6178	427	6	15	CARDINAL
ejpam-6178	428	1	tdb-algebras	ORG
ejpam-6178	431	1	university of san carlos	ORG
ejpam-6178	432	1	1	CARDINAL
ejpam-6178	432	2	k. iseki	PERSON
ejpam-6178	434	1	the japan academy	ORG
ejpam-6178	435	1	2	CARDINAL
ejpam-6178	435	2	yasuyuki imai	PERSON
ejpam-6178	435	3	kiyoshi iséki.	PERSON
ejpam-6178	437	1	the japan academy	ORG
ejpam-6178	437	2	22, 1966	DATE
ejpam-6178	438	1	3	CARDINAL
ejpam-6178	438	2	xin li	PERSON
ejpam-6178	439	1	bch	GPE
ejpam-6178	440	1	semin	PERSON
ejpam-6178	441	1	kobe univ.	ORG
ejpam-6178	441	2	11:313–320, 1983	DATE
ejpam-6178	442	1	4	CARDINAL
ejpam-6178	443	1	5(1):35–54	DATE
ejpam-6178	443	2	2017	DATE
ejpam-6178	444	1	5	CARDINAL
ejpam-6178	444	2	j. neggers	PERSON
ejpam-6178	444	3	kim	PERSON
ejpam-6178	446	1	international mathematical journal	ORG
ejpam-6178	446	2	2	CARDINAL
ejpam-6178	446	3	01 2002	DATE
ejpam-6178	447	1	6	CARDINAL
ejpam-6178	447	2	andrzej walendziak	PERSON
ejpam-6178	449	1	scientiae mathematicae japonicae	PERSON
ejpam-6178	449	2	62	DATE
ejpam-6178	449	3	01 2005	DATE
ejpam-6178	450	1	7	CARDINAL
ejpam-6178	450	2	jenette s bantug	PERSON
ejpam-6178	451	1	cauchy	PERSON
ejpam-6178	452	1	sci.	ORG
ejpam-6178	453	1	jpn	PERSON
ejpam-6178	453	2	82(3):221–228	DATE
ejpam-6178	453	3	2019	DATE
ejpam-6178	454	1	8	CARDINAL
ejpam-6178	454	2	j. neggers	PERSON
ejpam-6178	455	1	2002	DATE
ejpam-6178	456	1	9	CARDINAL
ejpam-6178	456	2	jocelyn	PERSON
ejpam-6178	457	1	second	ORDINAL
ejpam-6178	457	2	balgebras	PRODUCT
ejpam-6178	457	3	8(38):1865–1872	CARDINAL
ejpam-6178	457	4	2014	DATE
ejpam-6178	458	1	10	CARDINAL
ejpam-6178	458	2	jimboy albaracin	PERSON
ejpam-6178	460	1	28:1–10	CARDINAL
ejpam-6178	460	2	04 2022	CARDINAL
ejpam-6178	461	1	11	CARDINAL
ejpam-6178	461	2	jethro elijah bolima	PERSON
ejpam-6178	461	3	katrina	EVENT
ejpam-6178	462	1	first	ORDINAL
ejpam-6178	462	2	third	ORDINAL
ejpam-6178	463	1	european journal	ORG
ejpam-6178	463	2	16(1):577–586	DATE
ejpam-6178	463	3	2023	CARDINAL
ejpam-6178	464	1	12	CARDINAL
ejpam-6178	464	2	fuguo ge	PERSON
ejpam-6178	464	3	chenglong wu	PERSON
ejpam-6178	467	1	16(1-4):371–376	CARDINAL
ejpam-6178	468	1	13	CARDINAL
ejpam-6178	468	2	rajesh neelamegarajan vanishree murugesan	PERSON
ejpam-6178	469	1	hilbert algebras	ORG
ejpam-6178	470	1	14(12):1243	CARDINAL
ejpam-6178	470	2	2023	CARDINAL
ejpam-6178	471	1	14	CARDINAL
ejpam-6178	473	1	81(2):103–121, 1997	DATE
ejpam-6178	474	1	r. nuñez	PERSON
ejpam-6178	474	2	k. b. fuentes	PERSON
ejpam-6178	475	1	j. pure	PERSON
ejpam-6178	475	2	18	CARDINAL
ejpam-6178	475	3	4	CARDINAL
ejpam-6178	475	4	2025	CARDINAL
ejpam-6178	475	5	6178 13	DATE
ejpam-6178	475	6	15	CARDINAL
ejpam-6178	475	7	15	CARDINAL
ejpam-6178	475	8	gonzaga jr.	PERSON
ejpam-6178	476	1	international journal of mathematics	ORG
ejpam-6178	476	2	2019(1):8683965	CARDINAL
ejpam-6178	476	3	2019	DATE
ejpam-6178	477	1	16	CARDINAL
ejpam-6178	479	1	discussiones mathematicae:	ORG
ejpam-6178	479	2	algebra & applications	ORG
ejpam-6178	479	3	39(2	CARDINAL
ejpam-6178	479	4	2019	DATE
ejpam-6178	480	1	17	CARDINAL
ejpam-6178	480	2	jocelyn	PERSON
ejpam-6178	482	1	european journal	ORG
ejpam-6178	482	2	12(4):1497–1507,	DATE
ejpam-6178	482	3	2019	DATE
ejpam-6178	483	1	18	CARDINAL
ejpam-6178	483	2	james dugundji	PERSON
ejpam-6178	485	1	boston	GPE
ejpam-6178	485	2	mass, 1966	GPE
ejpam-6178	486	1	19	CARDINAL
ejpam-6178	486	2	s. lipschutz	PERSON
ejpam-6178	487	1	schaum	ORG
ejpam-6178	488	1	schaum	ORG
ejpam-6178	489	1	mcgraw-hill	ORG
ejpam-6178	489	2	1965	DATE
ejpam-6178	490	1	∗	CARDINAL
ejpam-6178	490	2	3	CARDINAL
ejpam-6178	490	3	example 2	DATE
ejpam-6178	491	1	1	CARDINAL
ejpam-6178	491	2	1 1	CARDINAL
ejpam-6178	491	3	1	CARDINAL
ejpam-6178	491	4	1	CARDINAL
ejpam-6178	491	5	1	CARDINAL
ejpam-6178	491	6	x,∅	ORG
ejpam-6178	491	7	1	CARDINAL
ejpam-6178	492	1	1	CARDINAL
ejpam-6178	492	2	x.	EVENT
ejpam-6178	493	1	1]s	CARDINAL
ejpam-6178	493	2	1	CARDINAL
ejpam-6178	494	1	1]s	CARDINAL
ejpam-6178	495	1	1]s	CARDINAL
ejpam-6178	498	1	1]s	CARDINAL
ejpam-6178	501	1	1]s	CARDINAL
ejpam-6178	501	2	1]s	CARDINAL
ejpam-6178	504	1	1]s	CARDINAL
ejpam-6178	507	1	1]s	CARDINAL
ejpam-6178	508	1	1]s	CARDINAL
ejpam-6178	509	1	1]s	CARDINAL
ejpam-6178	509	2	1]s	CARDINAL
ejpam-6178	509	3	1]s	CARDINAL
ejpam-6178	509	4	1]s	CARDINAL
ejpam-6178	509	5	x×x	PERSON
ejpam-6178	510	1	∗	CARDINAL
ejpam-6178	511	1	r. nuñez	PERSON
ejpam-6178	511	2	k. b. fuentes	PERSON
ejpam-6178	512	1	j. pure	PERSON
ejpam-6178	512	2	18	CARDINAL
ejpam-6178	512	3	4	CARDINAL
ejpam-6178	512	4	2025	CARDINAL
ejpam-6178	512	5	6178 14	DATE
ejpam-6178	512	6	15	CARDINAL
ejpam-6178	512	7	5	CARDINAL
ejpam-6178	514	1	cay ley_table	PERSON
ejpam-6178	516	1	cay ley_table =	WORK_OF_ART
ejpam-6178	521	1	cay ley_table	WORK_OF_ART
ejpam-6178	538	1	elements_b	CARDINAL
ejpam-6178	539	1	r. nuñez	PERSON
ejpam-6178	539	2	k. b. fuentes	PERSON
ejpam-6178	540	1	j. pure	PERSON
ejpam-6178	540	2	18	CARDINAL
ejpam-6178	540	3	4	CARDINAL
ejpam-6178	540	4	2025	CARDINAL
ejpam-6178	540	5	6178 15	DATE
ejpam-6178	546	1	py	PERSON