id	sid	eid	entity	type
ejpam-5003	1	1	european journal	ORG
ejpam-5003	2	1	17	CARDINAL
ejpam-5003	2	2	1	CARDINAL
ejpam-5003	2	3	2024	DATE
ejpam-5003	2	4	222	CARDINAL
ejpam-5003	3	1	new york	GPE
ejpam-5003	3	2	two	CARDINAL
ejpam-5003	4	1	gaudencio c. petalcorin	PERSON
ejpam-5003	4	2	1	CARDINAL
ejpam-5003	4	3	mindanao state university iligan institute of technology	ORG
ejpam-5003	4	4	iligan city	GPE
ejpam-5003	4	5	lanao del norte	PERSON
ejpam-5003	4	6	2	CARDINAL
ejpam-5003	4	7	institute of science	ORG
ejpam-5003	4	8	mindanao state university iligan institute of technology	ORG
ejpam-5003	4	9	iligan city	GPE
ejpam-5003	4	10	lanao del norte	PERSON
ejpam-5003	4	11	philippines	GPE
ejpam-5003	5	1	∈	ORG
ejpam-5003	10	1	two	CARDINAL
ejpam-5003	10	2	two	CARDINAL
ejpam-5003	11	1	2020	DATE
ejpam-5003	11	2	08a05	CARDINAL
ejpam-5003	11	3	08a30	CARDINAL
ejpam-5003	11	4	1	CARDINAL
ejpam-5003	12	1	two	CARDINAL
ejpam-5003	12	2	third	ORDINAL
ejpam-5003	14	1	two	CARDINAL
ejpam-5003	16	1	algebraic hyperstructure	PERSON
ejpam-5003	16	2	f. marty	PERSON
ejpam-5003	17	1	9	CARDINAL
ejpam-5003	17	2	8th	ORDINAL
ejpam-5003	17	3	congress	ORG
ejpam-5003	17	4	scandinavian	NORP
ejpam-5003	17	5	1934	DATE
ejpam-5003	18	1	one	CARDINAL
ejpam-5003	19	1	l.r	DATE
ejpam-5003	19	2	cabardo	PERSON
ejpam-5003	19	3	gaudencio.petalcorin@g.msuiit.edu.ph	PERSON
ejpam-5003	20	1	222	CARDINAL
ejpam-5003	20	2	2024	CARDINAL
ejpam-5003	21	1	l.r	DATE
ejpam-5003	21	2	cabardo	PERSON
ejpam-5003	21	3	g. petalcorin	PERSON
ejpam-5003	22	1	j. pure	PERSON
ejpam-5003	22	2	17	CARDINAL
ejpam-5003	22	3	1	CARDINAL
ejpam-5003	22	4	2024	CARDINAL
ejpam-5003	22	5	222	CARDINAL
ejpam-5003	24	1	nonempty	CARDINAL
ejpam-5003	25	1	algebraic hyperstructures: hyper	PERSON
ejpam-5003	26	1	10	CARDINAL
ejpam-5003	26	2	bcc	ORG
ejpam-5003	27	1	1	CARDINAL
ejpam-5003	27	2	7	CARDINAL
ejpam-5003	28	1	5	CARDINAL
ejpam-5003	28	2	2022	CARDINAL
ejpam-5003	28	3	8	CARDINAL
ejpam-5003	29	1	3	CARDINAL
ejpam-5003	30	1	algebraic structures	ORG
ejpam-5003	33	1	10	CARDINAL
ejpam-5003	34	1	2	CARDINAL
ejpam-5003	36	1	algebras	ORG
ejpam-5003	40	1	two	CARDINAL
ejpam-5003	41	1	2	CARDINAL
ejpam-5003	42	1	1	CARDINAL
ejpam-5003	43	1	6	CARDINAL
ejpam-5003	44	1	2	CARDINAL
ejpam-5003	45	1	6	CARDINAL
ejpam-5003	47	1	z.	PERSON
ejpam-5003	47	2	a. l.r. cabardo	PERSON
ejpam-5003	47	3	g. petalcorin	PERSON
ejpam-5003	48	1	j. pure	PERSON
ejpam-5003	48	2	17	CARDINAL
ejpam-5003	48	3	1	CARDINAL
ejpam-5003	48	4	2024	CARDINAL
ejpam-5003	48	5	222	CARDINAL
ejpam-5003	48	6	3	CARDINAL
ejpam-5003	49	1	6	CARDINAL
ejpam-5003	49	2	x]∼.	ORG
ejpam-5003	49	3	4	CARDINAL
ejpam-5003	50	1	4	CARDINAL
ejpam-5003	50	2	p(h	PERSON
ejpam-5003	52	1	h × h → p∗(h	ORG
ejpam-5003	54	1	∈	ORG
ejpam-5003	54	2	⊆	CARDINAL
ejpam-5003	54	3	⋃	DATE
ejpam-5003	54	4	b∈b a⊛	PERSON
ejpam-5003	54	5	x}⊛b	PERSON
ejpam-5003	55	1	3	CARDINAL
ejpam-5003	56	1	5	CARDINAL
ejpam-5003	57	1	∈	ORG
ejpam-5003	57	2	∈	ORG
ejpam-5003	59	1	z)⊛	PERSON
ejpam-5003	62	1	1	CARDINAL
ejpam-5003	62	2	0	CARDINAL
ejpam-5003	63	1	0	CARDINAL
ejpam-5003	63	2	0	CARDINAL
ejpam-5003	63	3	0	CARDINAL
ejpam-5003	63	4	0	CARDINAL
ejpam-5003	64	1	2	CARDINAL
ejpam-5003	65	1	0	CARDINAL
ejpam-5003	65	2	1	DATE
ejpam-5003	65	3	2	CARDINAL
ejpam-5003	66	1	0 1 2	QUANTITY
ejpam-5003	66	2	0	CARDINAL
ejpam-5003	66	3	1	CARDINAL
ejpam-5003	66	4	2	CARDINAL
ejpam-5003	66	5	1	CARDINAL
ejpam-5003	66	6	1	CARDINAL
ejpam-5003	66	7	0	CARDINAL
ejpam-5003	66	8	2	CARDINAL
ejpam-5003	66	9	0	CARDINAL
ejpam-5003	66	10	1	CARDINAL
ejpam-5003	66	11	2	CARDINAL
ejpam-5003	66	12	2	CARDINAL
ejpam-5003	66	13	0	CARDINAL
ejpam-5003	66	14	1	CARDINAL
ejpam-5003	66	15	0	CARDINAL
ejpam-5003	66	16	1	CARDINAL
ejpam-5003	67	1	3	CARDINAL
ejpam-5003	67	2	0	CARDINAL
ejpam-5003	67	3	1	DATE
ejpam-5003	67	4	2	DATE
ejpam-5003	67	5	3	CARDINAL
ejpam-5003	68	1	l.r	TIME
ejpam-5003	68	2	cabardo	PERSON
ejpam-5003	68	3	g. petalcorin	PERSON
ejpam-5003	69	1	j. pure	PERSON
ejpam-5003	69	2	17	CARDINAL
ejpam-5003	69	3	1	CARDINAL
ejpam-5003	69	4	2024	CARDINAL
ejpam-5003	69	5	222	CARDINAL
ejpam-5003	69	6	0 1 2 3	QUANTITY
ejpam-5003	69	7	0	CARDINAL
ejpam-5003	69	8	1	CARDINAL
ejpam-5003	69	9	3	CARDINAL
ejpam-5003	69	10	2	CARDINAL
ejpam-5003	69	11	1	CARDINAL
ejpam-5003	69	12	1	CARDINAL
ejpam-5003	69	13	0	CARDINAL
ejpam-5003	69	14	1	CARDINAL
ejpam-5003	69	15	0	CARDINAL
ejpam-5003	69	16	1	DATE
ejpam-5003	69	17	2	CARDINAL
ejpam-5003	69	18	0	CARDINAL
ejpam-5003	69	19	1	DATE
ejpam-5003	69	20	3	CARDINAL
ejpam-5003	69	21	2	CARDINAL
ejpam-5003	69	22	2	CARDINAL
ejpam-5003	69	23	0	CARDINAL
ejpam-5003	69	24	1	DATE
ejpam-5003	69	25	3	CARDINAL
ejpam-5003	69	26	0	CARDINAL
ejpam-5003	69	27	1	DATE
ejpam-5003	69	28	2	DATE
ejpam-5003	69	29	3	CARDINAL
ejpam-5003	69	30	0	CARDINAL
ejpam-5003	69	31	2	CARDINAL
ejpam-5003	69	32	3	CARDINAL
ejpam-5003	69	33	3	CARDINAL
ejpam-5003	69	34	0	CARDINAL
ejpam-5003	69	35	1	DATE
ejpam-5003	69	36	2	CARDINAL
ejpam-5003	69	37	0	CARDINAL
ejpam-5003	69	38	3	CARDINAL
ejpam-5003	69	39	0	CARDINAL
ejpam-5003	69	40	1	DATE
ejpam-5003	69	41	2	DATE
ejpam-5003	69	42	3	CARDINAL
ejpam-5003	70	1	4	CARDINAL
ejpam-5003	72	1	z,⊛	ORG
ejpam-5003	72	2	0	DATE
ejpam-5003	74	1	∈	ORG
ejpam-5003	74	2	⊆	CARDINAL
ejpam-5003	75	1	0	CARDINAL
ejpam-5003	76	1	0	CARDINAL
ejpam-5003	76	2	0⊛	CARDINAL
ejpam-5003	76	3	0⊛	CARDINAL
ejpam-5003	78	1	0⊛ y)⊛	MONEY
ejpam-5003	78	2	0⊛	CARDINAL
ejpam-5003	78	3	x)⊛	ORG
ejpam-5003	79	1	0⊛	CARDINAL
ejpam-5003	79	2	0⊛	CARDINAL
ejpam-5003	79	3	0⊛	CARDINAL
ejpam-5003	79	4	y ⇒	PERSON
ejpam-5003	79	5	z)⊛	PERSON
ejpam-5003	79	6	⊆	CARDINAL
ejpam-5003	79	7	⊆	CARDINAL
ejpam-5003	79	8	0	CARDINAL
ejpam-5003	79	9	0	CARDINAL
ejpam-5003	80	1	0⊛	CARDINAL
ejpam-5003	81	1	6	CARDINAL
ejpam-5003	82	1	x.	PERSON
ejpam-5003	82	2	5	CARDINAL
ejpam-5003	83	1	1	CARDINAL
ejpam-5003	83	2	2	CARDINAL
ejpam-5003	83	3	3	CARDINAL
ejpam-5003	83	4	2⊛	CARDINAL
ejpam-5003	83	5	2	CARDINAL
ejpam-5003	83	6	3	CARDINAL
ejpam-5003	83	7	0⊛ 2	CARDINAL
ejpam-5003	83	8	2	CARDINAL
ejpam-5003	86	1	3	CARDINAL
ejpam-5003	87	1	l.r	DATE
ejpam-5003	87	2	cabardo	PERSON
ejpam-5003	87	3	g. petalcorin	PERSON
ejpam-5003	88	1	j. pure	PERSON
ejpam-5003	88	2	17	CARDINAL
ejpam-5003	88	3	1	CARDINAL
ejpam-5003	88	4	2024	CARDINAL
ejpam-5003	88	5	222	CARDINAL
ejpam-5003	88	6	7	CARDINAL
ejpam-5003	90	1	6	CARDINAL
ejpam-5003	91	1	1	CARDINAL
ejpam-5003	92	1	0	CARDINAL
ejpam-5003	92	2	0	CARDINAL
ejpam-5003	93	1	2	CARDINAL
ejpam-5003	93	2	0	CARDINAL
ejpam-5003	93	3	1	CARDINAL
ejpam-5003	93	4	0	CARDINAL
ejpam-5003	93	5	2	CARDINAL
ejpam-5003	93	6	h. theorem 3	ORG
ejpam-5003	95	1	⊆	CARDINAL
ejpam-5003	95	2	8	DATE
ejpam-5003	97	1	⊆	CARDINAL
ejpam-5003	97	2	⊆	CARDINAL
ejpam-5003	97	3	7	CARDINAL
ejpam-5003	97	4	0	CARDINAL
ejpam-5003	98	1	1	CARDINAL
ejpam-5003	98	2	0	CARDINAL
ejpam-5003	98	3	0	CARDINAL
ejpam-5003	100	1	0⊛	CARDINAL
ejpam-5003	100	2	⊆ n2	QUANTITY
ejpam-5003	100	3	⊆	CARDINAL
ejpam-5003	100	4	0⊛	CARDINAL
ejpam-5003	100	5	b⊛	ORDINAL
ejpam-5003	101	1	9	CARDINAL
ejpam-5003	102	1	⊆	CARDINAL
ejpam-5003	102	2	∈	ORG
ejpam-5003	102	3	8	CARDINAL
ejpam-5003	103	1	0	CARDINAL
ejpam-5003	103	2	1	DATE
ejpam-5003	103	3	2	CARDINAL
ejpam-5003	103	4	0 1 2	QUANTITY
ejpam-5003	103	5	0	CARDINAL
ejpam-5003	103	6	1	CARDINAL
ejpam-5003	103	7	2	CARDINAL
ejpam-5003	103	8	1	CARDINAL
ejpam-5003	103	9	1	CARDINAL
ejpam-5003	103	10	0	CARDINAL
ejpam-5003	103	11	1	CARDINAL
ejpam-5003	103	12	2	CARDINAL
ejpam-5003	103	13	2	CARDINAL
ejpam-5003	103	14	2	CARDINAL
ejpam-5003	103	15	2	CARDINAL
ejpam-5003	103	16	0	CARDINAL
ejpam-5003	103	17	1	CARDINAL
ejpam-5003	104	1	0	CARDINAL
ejpam-5003	104	2	1	CARDINAL
ejpam-5003	105	1	⊆	CARDINAL
ejpam-5003	105	2	0	CARDINAL
ejpam-5003	105	3	1	CARDINAL
ejpam-5003	105	4	2	CARDINAL
ejpam-5003	106	1	0	CARDINAL
ejpam-5003	106	2	2	CARDINAL
ejpam-5003	107	1	1⊛ 1	DATE
ejpam-5003	108	1	4	CARDINAL
ejpam-5003	109	1	10	CARDINAL
ejpam-5003	114	1	9	CARDINAL
ejpam-5003	114	2	0	CARDINAL
ejpam-5003	114	3	1	DATE
ejpam-5003	114	4	2	DATE
ejpam-5003	114	5	3	DATE
ejpam-5003	114	6	4	CARDINAL
ejpam-5003	115	1	0 1 2 3 4	QUANTITY
ejpam-5003	115	2	0	CARDINAL
ejpam-5003	115	3	1	CARDINAL
ejpam-5003	115	4	2	CARDINAL
ejpam-5003	115	5	3	CARDINAL
ejpam-5003	115	6	4	CARDINAL
ejpam-5003	115	7	1	CARDINAL
ejpam-5003	115	8	1	CARDINAL
ejpam-5003	115	9	0	CARDINAL
ejpam-5003	115	10	3	CARDINAL
ejpam-5003	115	11	3	CARDINAL
ejpam-5003	115	12	1	CARDINAL
ejpam-5003	115	13	4	CARDINAL
ejpam-5003	115	14	2	CARDINAL
ejpam-5003	115	15	2	CARDINAL
ejpam-5003	115	16	3	CARDINAL
ejpam-5003	115	17	0	CARDINAL
ejpam-5003	115	18	3	CARDINAL
ejpam-5003	115	19	3	CARDINAL
ejpam-5003	115	20	4	CARDINAL
ejpam-5003	115	21	3	CARDINAL
ejpam-5003	115	22	3	CARDINAL
ejpam-5003	115	23	1	CARDINAL
ejpam-5003	115	24	3	CARDINAL
ejpam-5003	115	25	0	CARDINAL
ejpam-5003	115	26	3	CARDINAL
ejpam-5003	115	27	4	CARDINAL
ejpam-5003	115	28	4	CARDINAL
ejpam-5003	115	29	4	CARDINAL
ejpam-5003	115	30	4	CARDINAL
ejpam-5003	115	31	4	CARDINAL
ejpam-5003	115	32	4	CARDINAL
ejpam-5003	115	33	0	CARDINAL
ejpam-5003	115	34	3	CARDINAL
ejpam-5003	115	35	cabardo	PERSON
ejpam-5003	115	36	g. petalcorin	PERSON
ejpam-5003	116	1	j. pure	PERSON
ejpam-5003	116	2	17	CARDINAL
ejpam-5003	116	3	1	CARDINAL
ejpam-5003	116	4	2024	CARDINAL
ejpam-5003	116	5	222	CARDINAL
ejpam-5003	117	1	0	CARDINAL
ejpam-5003	117	2	3	CARDINAL
ejpam-5003	118	1	h. theorem 5	ORG
ejpam-5003	119	1	h. 3	ORG
ejpam-5003	122	1	3.1	CARDINAL
ejpam-5003	126	1	11	DATE
ejpam-5003	129	1	⊆	CARDINAL
ejpam-5003	130	1	i.	PERSON
ejpam-5003	130	2	∈	ORG
ejpam-5003	130	3	i.	PERSON
ejpam-5003	130	4	10	CARDINAL
ejpam-5003	131	1	example 1	DATE
ejpam-5003	132	1	0	CARDINAL
ejpam-5003	132	2	0	CARDINAL
ejpam-5003	133	1	2	CARDINAL
ejpam-5003	133	2	0	CARDINAL
ejpam-5003	133	3	0	CARDINAL
ejpam-5003	133	4	1	CARDINAL
ejpam-5003	133	5	2⊛1	ORG
ejpam-5003	133	6	0	CARDINAL
ejpam-5003	133	7	1	CARDINAL
ejpam-5003	133	8	1	CARDINAL
ejpam-5003	133	9	2	CARDINAL
ejpam-5003	134	1	j2	ORG
ejpam-5003	134	2	0	CARDINAL
ejpam-5003	134	3	2	CARDINAL
ejpam-5003	134	4	1	CARDINAL
ejpam-5003	134	5	2	CARDINAL
ejpam-5003	134	6	0	CARDINAL
ejpam-5003	134	7	1	CARDINAL
ejpam-5003	134	8	j2	ORG
ejpam-5003	134	9	2	CARDINAL
ejpam-5003	134	10	∈	ORG
ejpam-5003	134	11	1	CARDINAL
ejpam-5003	135	1	11	CARDINAL
ejpam-5003	136	1	z,⊛	ORG
ejpam-5003	136	2	0	DATE
ejpam-5003	136	3	example 4	DATE
ejpam-5003	137	1	0	CARDINAL
ejpam-5003	138	1	∈	ORG
ejpam-5003	138	2	z.	PERSON
ejpam-5003	138	3	12	CARDINAL
ejpam-5003	139	1	0	CARDINAL
ejpam-5003	139	2	example 1	DATE
ejpam-5003	140	1	0	CARDINAL
ejpam-5003	140	2	0	CARDINAL
ejpam-5003	141	1	13	CARDINAL
ejpam-5003	142	1	0	CARDINAL
ejpam-5003	142	2	1	DATE
ejpam-5003	142	3	2	CARDINAL
ejpam-5003	142	4	2	CARDINAL
ejpam-5003	143	1	0	CARDINAL
ejpam-5003	143	2	1	CARDINAL
ejpam-5003	144	1	i1	ORG
ejpam-5003	144	2	2	CARDINAL
ejpam-5003	144	3	1	CARDINAL
ejpam-5003	144	4	1	CARDINAL
ejpam-5003	144	5	2	CARDINAL
ejpam-5003	145	1	2	CARDINAL
ejpam-5003	145	2	1 ⊆	CARDINAL
ejpam-5003	145	3	1	CARDINAL
ejpam-5003	145	4	2	CARDINAL
ejpam-5003	146	1	l.r	DATE
ejpam-5003	146	2	cabardo	PERSON
ejpam-5003	146	3	g. petalcorin	PERSON
ejpam-5003	147	1	j. pure	PERSON
ejpam-5003	147	2	17	CARDINAL
ejpam-5003	147	3	1	CARDINAL
ejpam-5003	147	4	2024	CARDINAL
ejpam-5003	147	5	222	CARDINAL
ejpam-5003	147	6	1	CARDINAL
ejpam-5003	152	1	i.	PERSON
ejpam-5003	152	2	theorem 1(xi	PERSON
ejpam-5003	152	3	i.	PERSON
ejpam-5003	152	4	i.	PERSON
ejpam-5003	152	5	h. (ii	ORG
ejpam-5003	152	6	i.	PERSON
ejpam-5003	152	7	y ∈ i.	PERSON
ejpam-5003	152	8	∈	ORG
ejpam-5003	152	9	∈	ORG
ejpam-5003	152	10	∈	ORG
ejpam-5003	152	11	⊆	CARDINAL
ejpam-5003	153	1	i.	PERSON
ejpam-5003	153	2	1(i	CARDINAL
ejpam-5003	154	1	14	CARDINAL
ejpam-5003	155	1	2	CARDINAL
ejpam-5003	155	2	0	CARDINAL
ejpam-5003	155	3	2	CARDINAL
ejpam-5003	156	1	j2	ORG
ejpam-5003	157	1	example 10	DATE
ejpam-5003	160	1	15	CARDINAL
ejpam-5003	161	1	0	CARDINAL
ejpam-5003	161	2	1	DATE
ejpam-5003	161	3	2	DATE
ejpam-5003	161	4	3	CARDINAL
ejpam-5003	162	1	0 1 2 3	QUANTITY
ejpam-5003	162	2	0	CARDINAL
ejpam-5003	162	3	1	CARDINAL
ejpam-5003	162	4	2	CARDINAL
ejpam-5003	162	5	3	CARDINAL
ejpam-5003	162	6	1	CARDINAL
ejpam-5003	162	7	1	CARDINAL
ejpam-5003	162	8	0	CARDINAL
ejpam-5003	162	9	1	CARDINAL
ejpam-5003	162	10	1	CARDINAL
ejpam-5003	162	11	2	CARDINAL
ejpam-5003	162	12	1	CARDINAL
ejpam-5003	162	13	3	CARDINAL
ejpam-5003	162	14	2	CARDINAL
ejpam-5003	162	15	2	CARDINAL
ejpam-5003	162	16	1	CARDINAL
ejpam-5003	162	17	2	CARDINAL
ejpam-5003	162	18	0	CARDINAL
ejpam-5003	162	19	2	CARDINAL
ejpam-5003	162	20	2	CARDINAL
ejpam-5003	162	21	3	CARDINAL
ejpam-5003	162	22	3	CARDINAL
ejpam-5003	162	23	3	CARDINAL
ejpam-5003	162	24	1	CARDINAL
ejpam-5003	162	25	3	CARDINAL
ejpam-5003	162	26	2	CARDINAL
ejpam-5003	162	27	3	CARDINAL
ejpam-5003	162	28	0	CARDINAL
ejpam-5003	162	29	3	CARDINAL
ejpam-5003	163	1	0	CARDINAL
ejpam-5003	163	2	1	CARDINAL
ejpam-5003	164	1	2⊛1)∩	CARDINAL
ejpam-5003	164	2	1	CARDINAL
ejpam-5003	164	3	1 ∈	CARDINAL
ejpam-5003	164	4	2	CARDINAL
ejpam-5003	164	5	i. theorem 6.	PERSON
ejpam-5003	168	1	0	CARDINAL
ejpam-5003	170	1	0	CARDINAL
ejpam-5003	170	2	0	CARDINAL
ejpam-5003	170	3	0	CARDINAL
ejpam-5003	170	4	0	CARDINAL
ejpam-5003	171	1	h. l.r. cabardo	PERSON
ejpam-5003	171	2	g. petalcorin	PERSON
ejpam-5003	172	1	j. pure	PERSON
ejpam-5003	172	2	17	CARDINAL
ejpam-5003	172	3	1	CARDINAL
ejpam-5003	172	4	2024	CARDINAL
ejpam-5003	172	5	222	CARDINAL
ejpam-5003	172	6	1	CARDINAL
ejpam-5003	174	1	⊆	CARDINAL
ejpam-5003	175	1	∈	ORG
ejpam-5003	175	2	⊆	CARDINAL
ejpam-5003	177	1	h.	PERSON
ejpam-5003	184	1	h.	PERSON
ejpam-5003	184	2	∈	ORG
ejpam-5003	186	1	∈	ORG
ejpam-5003	187	1	⊆	CARDINAL
ejpam-5003	188	1	1	CARDINAL
ejpam-5003	188	2	∈	ORG
ejpam-5003	190	1	∈	ORG
ejpam-5003	190	2	h. (ii	ORG
ejpam-5003	190	3	∈	ORG
ejpam-5003	192	1	⊆	CARDINAL
ejpam-5003	192	2	∈	ORG
ejpam-5003	193	1	⊆	CARDINAL
ejpam-5003	194	1	⊆	CARDINAL
ejpam-5003	194	2	∈	ORG
ejpam-5003	195	1	∈	ORG
ejpam-5003	195	2	∈	ORG
ejpam-5003	196	1	∈	ORG
ejpam-5003	197	1	⊆	CARDINAL
ejpam-5003	198	1	∈	ORG
ejpam-5003	199	1	∈	ORG
ejpam-5003	199	2	h. l.r. cabardo	PERSON
ejpam-5003	199	3	g. petalcorin	PERSON
ejpam-5003	200	1	j. pure	PERSON
ejpam-5003	200	2	17	CARDINAL
ejpam-5003	200	3	1	CARDINAL
ejpam-5003	200	4	2024	CARDINAL
ejpam-5003	200	5	222-242 230	MONEY
ejpam-5003	201	1	16	CARDINAL
ejpam-5003	202	1	0	CARDINAL
ejpam-5003	202	2	1	DATE
ejpam-5003	202	3	2	DATE
ejpam-5003	202	4	3	CARDINAL
ejpam-5003	203	1	0 1 2 3	QUANTITY
ejpam-5003	203	2	0	CARDINAL
ejpam-5003	203	3	1	CARDINAL
ejpam-5003	203	4	2	CARDINAL
ejpam-5003	203	5	3	CARDINAL
ejpam-5003	203	6	1	CARDINAL
ejpam-5003	203	7	1	CARDINAL
ejpam-5003	203	8	0	CARDINAL
ejpam-5003	203	9	1	CARDINAL
ejpam-5003	203	10	1	CARDINAL
ejpam-5003	203	11	3	CARDINAL
ejpam-5003	203	12	2	CARDINAL
ejpam-5003	203	13	2	CARDINAL
ejpam-5003	203	14	1	CARDINAL
ejpam-5003	203	15	0	CARDINAL
ejpam-5003	203	16	2	CARDINAL
ejpam-5003	203	17	3	CARDINAL
ejpam-5003	203	18	3	CARDINAL
ejpam-5003	203	19	3	CARDINAL
ejpam-5003	203	20	1	CARDINAL
ejpam-5003	203	21	3	CARDINAL
ejpam-5003	203	22	2	CARDINAL
ejpam-5003	203	23	3	CARDINAL
ejpam-5003	203	24	0	CARDINAL
ejpam-5003	203	25	3	CARDINAL
ejpam-5003	204	1	0	CARDINAL
ejpam-5003	204	2	1	CARDINAL
ejpam-5003	205	1	3	CARDINAL
ejpam-5003	205	2	2⊛ 1	DATE
ejpam-5003	205	3	2	CARDINAL
ejpam-5003	205	4	17	CARDINAL
ejpam-5003	206	1	0	CARDINAL
ejpam-5003	206	2	0	CARDINAL
ejpam-5003	206	3	0	CARDINAL
ejpam-5003	206	4	0	CARDINAL
ejpam-5003	206	5	0	CARDINAL
ejpam-5003	207	1	0	CARDINAL
ejpam-5003	208	1	3	CARDINAL
ejpam-5003	208	2	0	CARDINAL
ejpam-5003	208	3	∈	ORG
ejpam-5003	208	4	i. 3.2	PERSON
ejpam-5003	212	1	12	CARDINAL
ejpam-5003	218	1	l.r	DATE
ejpam-5003	218	2	cabardo	PERSON
ejpam-5003	218	3	g. petalcorin	PERSON
ejpam-5003	219	1	j. pure	PERSON
ejpam-5003	219	2	17	CARDINAL
ejpam-5003	219	3	1	CARDINAL
ejpam-5003	219	4	2024	CARDINAL
ejpam-5003	219	5	222	CARDINAL
ejpam-5003	219	6	231	CARDINAL
ejpam-5003	219	7	18	CARDINAL
ejpam-5003	220	1	example 8	DATE
ejpam-5003	223	1	h. j	PERSON
ejpam-5003	223	2	2	CARDINAL
ejpam-5003	223	3	2	CARDINAL
ejpam-5003	223	4	0	CARDINAL
ejpam-5003	223	5	1	CARDINAL
ejpam-5003	224	1	1	CARDINAL
ejpam-5003	224	2	2 ⊆	CARDINAL
ejpam-5003	224	3	2	CARDINAL
ejpam-5003	224	4	1 ⊆	CARDINAL
ejpam-5003	224	5	1	CARDINAL
ejpam-5003	224	6	2	CARDINAL
ejpam-5003	224	7	2	CARDINAL
ejpam-5003	224	8	0	CARDINAL
ejpam-5003	224	9	1	CARDINAL
ejpam-5003	226	1	1⊛ 2	DATE
ejpam-5003	226	2	j ̸=	PERSON
ejpam-5003	226	3	2	CARDINAL
ejpam-5003	226	4	1	CARDINAL
ejpam-5003	227	1	4	CARDINAL
ejpam-5003	227	2	1	CARDINAL
ejpam-5003	228	1	2	CARDINAL
ejpam-5003	231	1	h.	PERSON
ejpam-5003	231	2	⊆	CARDINAL
ejpam-5003	231	3	0⊛	CARDINAL
ejpam-5003	231	4	0	CARDINAL
ejpam-5003	232	1	⊆	CARDINAL
ejpam-5003	232	2	s.	PERSON
ejpam-5003	232	3	1	CARDINAL
ejpam-5003	232	4	2	CARDINAL
ejpam-5003	235	1	h. theorem 8	ORG
ejpam-5003	236	1	∈	ORG
ejpam-5003	237	1	h.	PERSON
ejpam-5003	238	1	2	CARDINAL
ejpam-5003	238	2	5	CARDINAL
ejpam-5003	239	1	2	CARDINAL
ejpam-5003	241	1	h.	PERSON
ejpam-5003	241	2	∈	ORG
ejpam-5003	241	3	i. proof	PERSON
ejpam-5003	243	1	h.	PERSON
ejpam-5003	243	2	∈	ORG
ejpam-5003	243	3	a′ ∈	PERSON
ejpam-5003	243	4	a′	ORG
ejpam-5003	243	5	⊆	CARDINAL
ejpam-5003	243	6	⋃	PRODUCT
ejpam-5003	244	1	a⊛ x	PERSON
ejpam-5003	244	2	cabardo	PERSON
ejpam-5003	244	3	g. petalcorin	PERSON
ejpam-5003	245	1	j. pure	PERSON
ejpam-5003	245	2	17	CARDINAL
ejpam-5003	245	3	1	CARDINAL
ejpam-5003	245	4	2024	CARDINAL
ejpam-5003	245	5	222-242 232	MONEY
ejpam-5003	245	6	∈	ORG
ejpam-5003	245	7	∈	ORG
ejpam-5003	245	8	⊆	CARDINAL
ejpam-5003	245	9	i.	PERSON
ejpam-5003	245	10	theorem 1(xi	PERSON
ejpam-5003	245	11	i. theorem 9	PERSON
ejpam-5003	246	1	h.	PERSON
ejpam-5003	247	1	∈	ORG
ejpam-5003	248	1	⊆	CARDINAL
ejpam-5003	248	2	⊆	CARDINAL
ejpam-5003	248	3	i.	PERSON
ejpam-5003	248	4	⊆	CARDINAL
ejpam-5003	248	5	i.	PERSON
ejpam-5003	248	6	∈	ORG
ejpam-5003	248	7	∩ i.	PERSON
ejpam-5003	248	8	⊆	CARDINAL
ejpam-5003	248	9	⊆	CARDINAL
ejpam-5003	248	10	i.	PERSON
ejpam-5003	248	11	theorem 1(xi	PERSON
ejpam-5003	248	12	i.	PERSON
ejpam-5003	248	13	∈	ORG
ejpam-5003	248	14	2(ii	CARDINAL
ejpam-5003	249	1	i. theorem 10	PERSON
ejpam-5003	250	1	⊆	CARDINAL
ejpam-5003	250	2	i.	PERSON
ejpam-5003	251	1	0 ∈	CARDINAL
ejpam-5003	251	2	i.	PERSON
ejpam-5003	251	3	⊆	CARDINAL
ejpam-5003	251	4	9	CARDINAL
ejpam-5003	251	5	10	CARDINAL
ejpam-5003	252	1	3	CARDINAL
ejpam-5003	253	1	h.	PERSON
ejpam-5003	255	1	y ∈ i.	ORG
ejpam-5003	256	1	9	CARDINAL
ejpam-5003	257	1	11	CARDINAL
ejpam-5003	258	1	19	CARDINAL
ejpam-5003	259	1	0	CARDINAL
ejpam-5003	259	2	example 1	DATE
ejpam-5003	260	1	0	CARDINAL
ejpam-5003	260	2	0	CARDINAL
ejpam-5003	260	3	12	CARDINAL
ejpam-5003	261	1	i1	ORG
ejpam-5003	261	2	7	CARDINAL
ejpam-5003	261	3	0	CARDINAL
ejpam-5003	261	4	̸⊆	CARDINAL
ejpam-5003	262	1	7	CARDINAL
ejpam-5003	262	2	0	CARDINAL
ejpam-5003	262	3	̸⊆	CARDINAL
ejpam-5003	263	1	11	CARDINAL
ejpam-5003	266	1	h.	PERSON
ejpam-5003	268	1	h. l.r. cabardo	PERSON
ejpam-5003	268	2	g. petalcorin	PERSON
ejpam-5003	269	1	j. pure	PERSON
ejpam-5003	269	2	17	CARDINAL
ejpam-5003	269	3	1	CARDINAL
ejpam-5003	269	4	2024	CARDINAL
ejpam-5003	269	5	222	CARDINAL
ejpam-5003	269	6	4	CARDINAL
ejpam-5003	270	1	two	CARDINAL
ejpam-5003	271	1	4.1	CARDINAL
ejpam-5003	272	1	quotient hyper bn	PERSON
ejpam-5003	273	1	3	CARDINAL
ejpam-5003	277	1	⊆	CARDINAL
ejpam-5003	277	2	⊆	CARDINAL
ejpam-5003	277	3	i.	PERSON
ejpam-5003	280	1	0	CARDINAL
ejpam-5003	280	2	0	CARDINAL
ejpam-5003	280	3	0	CARDINAL
ejpam-5003	280	4	⊆	CARDINAL
ejpam-5003	280	5	i.	PERSON
ejpam-5003	280	6	0	CARDINAL
ejpam-5003	280	7	0	CARDINAL
ejpam-5003	281	1	0⊛	CARDINAL
ejpam-5003	281	2	x)⊛	ORG
ejpam-5003	281	3	0⊛	CARDINAL
ejpam-5003	281	4	⊆	CARDINAL
ejpam-5003	281	5	i.	PERSON
ejpam-5003	281	6	0⊛	CARDINAL
ejpam-5003	281	7	i. (ii	PERSON
ejpam-5003	281	8	i.	PERSON
ejpam-5003	281	9	∈	ORG
ejpam-5003	281	10	∈	ORG
ejpam-5003	281	11	0	CARDINAL
ejpam-5003	281	12	⊆	CARDINAL
ejpam-5003	281	13	∈	ORG
ejpam-5003	281	14	0	CARDINAL
ejpam-5003	281	15	⊆	CARDINAL
ejpam-5003	281	16	i.	PERSON
ejpam-5003	281	17	0	CARDINAL
ejpam-5003	282	1	1(iv	CARDINAL
ejpam-5003	283	1	⊆	CARDINAL
ejpam-5003	283	2	i.	PERSON
ejpam-5003	283	3	13	DATE
ejpam-5003	286	1	⊆	CARDINAL
ejpam-5003	286	2	4	CARDINAL
ejpam-5003	286	3	∼s	ORG
ejpam-5003	288	1	∈	ORG
ejpam-5003	289	1	⊆	CARDINAL
ejpam-5003	289	2	s.	PERSON
ejpam-5003	289	3	∼s	ORG
ejpam-5003	292	1	3(ii	CARDINAL
ejpam-5003	292	2	⊆	CARDINAL
ejpam-5003	292	3	s.	PERSON
ejpam-5003	292	4	y ∼s	PERSON
ejpam-5003	292	5	∼s	ORG
ejpam-5003	293	1	∈	ORG
ejpam-5003	293	2	y ∼s z.	PERSON
ejpam-5003	293	3	⊆	CARDINAL
ejpam-5003	293	4	⊆	CARDINAL
ejpam-5003	293	5	3(ii	CARDINAL
ejpam-5003	293	6	⊆	CARDINAL
ejpam-5003	293	7	⊆	CARDINAL
ejpam-5003	294	1	z)⊛	PERSON
ejpam-5003	294	2	⊆	CARDINAL
ejpam-5003	294	3	s.	PERSON
ejpam-5003	294	4	z.	PERSON
ejpam-5003	294	5	∼s	ORG
ejpam-5003	295	1	∼s	ORG
ejpam-5003	296	1	14	DATE
ejpam-5003	297	1	⊆	CARDINAL
ejpam-5003	297	2	∈	ORG
ejpam-5003	297	3	∼s	NORP
ejpam-5003	297	4	l.r	DATE
ejpam-5003	297	5	cabardo	PERSON
ejpam-5003	297	6	g. petalcorin	PERSON
ejpam-5003	298	1	j. pure	PERSON
ejpam-5003	298	2	17	CARDINAL
ejpam-5003	298	3	1	CARDINAL
ejpam-5003	298	4	2024	CARDINAL
ejpam-5003	298	5	222	CARDINAL
ejpam-5003	298	6	5	CARDINAL
ejpam-5003	299	1	⊆	CARDINAL
ejpam-5003	299	2	∼s	ORG
ejpam-5003	300	1	⊆	CARDINAL
ejpam-5003	301	1	∈	ORG
ejpam-5003	301	2	⊆	CARDINAL
ejpam-5003	301	3	s.	PERSON
ejpam-5003	301	4	⋃	DATE
ejpam-5003	301	5	⊆	CARDINAL
ejpam-5003	301	6	⊆	CARDINAL
ejpam-5003	301	7	∈	ORG
ejpam-5003	301	8	⊆	CARDINAL
ejpam-5003	301	9	⊆	CARDINAL
ejpam-5003	301	10	∼s	NORP
ejpam-5003	301	11	6	CARDINAL
ejpam-5003	302	1	⊆	CARDINAL
ejpam-5003	302	2	= s. proof	PERSON
ejpam-5003	305	1	0 ⊆	CARDINAL
ejpam-5003	305	2	s.	PERSON
ejpam-5003	305	3	∈	ORG
ejpam-5003	306	1	∈	ORG
ejpam-5003	307	1	⊆	CARDINAL
ejpam-5003	307	2	s.	PERSON
ejpam-5003	309	1	⊆	CARDINAL
ejpam-5003	310	1	= s.	PERSON
ejpam-5003	311	1	12	CARDINAL
ejpam-5003	313	1	⊙	ORG
ejpam-5003	319	1	⊆	CARDINAL
ejpam-5003	319	2	⊆	CARDINAL
ejpam-5003	319	3	⊆	CARDINAL
ejpam-5003	319	4	s.	PERSON
ejpam-5003	319	5	5	CARDINAL
ejpam-5003	323	1	⊙	FAC
ejpam-5003	324	1	x.	PERSON
ejpam-5003	327	1	h/s.	ORG
ejpam-5003	327	2	⊙	ORG
ejpam-5003	331	1	∈	ORG
ejpam-5003	332	1	⊙	ORG
ejpam-5003	333	1	∈	ORG
ejpam-5003	333	2	∈	ORG
ejpam-5003	334	1	⊙	ORG
ejpam-5003	336	1	∈	ORG
ejpam-5003	339	1	w′ ∈	PERSON
ejpam-5003	339	2	⊆	CARDINAL
ejpam-5003	340	1	0	CARDINAL
ejpam-5003	341	1	w′ ∈	PERSON
ejpam-5003	341	2	∈	ORG
ejpam-5003	342	1	⊙	ORG
ejpam-5003	344	1	∈	ORG
ejpam-5003	344	2	∈	ORG
ejpam-5003	347	1	∈	ORG
ejpam-5003	351	1	w′]∼s ∈	PERSON
ejpam-5003	352	1	⊙	ORG
ejpam-5003	353	1	⊆	CARDINAL
ejpam-5003	354	1	⊙	ORG
ejpam-5003	357	1	⊙	ORG
ejpam-5003	358	1	⊆	CARDINAL
ejpam-5003	359	1	⊙	ORG
ejpam-5003	362	1	⊙	ORG
ejpam-5003	363	1	∈	ORG
ejpam-5003	363	2	∈	ORG
ejpam-5003	365	1	⊙	ORG
ejpam-5003	369	1	v′]∼s	LOC
ejpam-5003	370	1	⊆	CARDINAL
ejpam-5003	370	2	x⊛y)⊛z	GPE
ejpam-5003	371	1	∈	ORG
ejpam-5003	372	1	∈	ORG
ejpam-5003	375	1	∈	ORG
ejpam-5003	380	1	⊙	ORG
ejpam-5003	381	1	⊆	CARDINAL
ejpam-5003	382	1	⊙	ORG
ejpam-5003	385	1	⊙	ORG
ejpam-5003	387	1	⊆	CARDINAL
ejpam-5003	387	2	l.r	DATE
ejpam-5003	387	3	cabardo	PERSON
ejpam-5003	387	4	g. petalcorin	PERSON
ejpam-5003	388	1	j. pure	PERSON
ejpam-5003	388	2	17	CARDINAL
ejpam-5003	388	3	1	CARDINAL
ejpam-5003	388	4	2024	CARDINAL
ejpam-5003	388	5	222-242 235	MONEY
ejpam-5003	389	1	⊙	ORG
ejpam-5003	392	1	⊙	ORG
ejpam-5003	394	1	⊙	ORG
ejpam-5003	395	1	∈	ORG
ejpam-5003	398	1	20	CARDINAL
ejpam-5003	399	1	0	CARDINAL
ejpam-5003	399	2	1	DATE
ejpam-5003	399	3	2	DATE
ejpam-5003	399	4	3	DATE
ejpam-5003	399	5	4	CARDINAL
ejpam-5003	399	6	example 9	DATE
ejpam-5003	400	1	0	CARDINAL
ejpam-5003	400	2	3	CARDINAL
ejpam-5003	401	1	0	CARDINAL
ejpam-5003	401	2	3	CARDINAL
ejpam-5003	402	1	1	CARDINAL
ejpam-5003	402	2	2	CARDINAL
ejpam-5003	404	1	4	CARDINAL
ejpam-5003	407	1	⊙	ORG
ejpam-5003	407	2	⊙	ORG
ejpam-5003	410	1	4]∼s	CARDINAL
ejpam-5003	412	1	4.2	CARDINAL
ejpam-5003	414	1	4.1	CARDINAL
ejpam-5003	415	1	15	CARDINAL
ejpam-5003	416	1	⊆	CARDINAL
ejpam-5003	416	2	∈	ORG
ejpam-5003	416	3	∈	ORG
ejpam-5003	416	4	x′θy′	ORG
ejpam-5003	416	5	x′	DATE
ejpam-5003	417	1	21	CARDINAL
ejpam-5003	418	1	0	CARDINAL
ejpam-5003	418	2	1	DATE
ejpam-5003	418	3	2	DATE
ejpam-5003	418	4	3	DATE
ejpam-5003	418	5	4	CARDINAL
ejpam-5003	419	1	0 1 2 3 4	QUANTITY
ejpam-5003	419	2	0	CARDINAL
ejpam-5003	419	3	1	CARDINAL
ejpam-5003	419	4	2	CARDINAL
ejpam-5003	419	5	3	CARDINAL
ejpam-5003	419	6	4	CARDINAL
ejpam-5003	419	7	1	CARDINAL
ejpam-5003	419	8	1	CARDINAL
ejpam-5003	419	9	0	CARDINAL
ejpam-5003	419	10	1	CARDINAL
ejpam-5003	419	11	2	CARDINAL
ejpam-5003	419	12	3	CARDINAL
ejpam-5003	419	13	4	CARDINAL
ejpam-5003	419	14	2	CARDINAL
ejpam-5003	419	15	2	CARDINAL
ejpam-5003	419	16	2	CARDINAL
ejpam-5003	419	17	0	CARDINAL
ejpam-5003	419	18	2	CARDINAL
ejpam-5003	419	19	0	CARDINAL
ejpam-5003	419	20	2	DATE
ejpam-5003	419	21	3	CARDINAL
ejpam-5003	419	22	2	CARDINAL
ejpam-5003	419	23	4	CARDINAL
ejpam-5003	419	24	3	CARDINAL
ejpam-5003	419	25	3	CARDINAL
ejpam-5003	419	26	3	CARDINAL
ejpam-5003	419	27	0	CARDINAL
ejpam-5003	419	28	2	DATE
ejpam-5003	419	29	3	CARDINAL
ejpam-5003	419	30	0	CARDINAL
ejpam-5003	419	31	3	CARDINAL
ejpam-5003	419	32	3	CARDINAL
ejpam-5003	419	33	4	CARDINAL
ejpam-5003	419	34	4	CARDINAL
ejpam-5003	419	35	4	CARDINAL
ejpam-5003	419	36	4	CARDINAL
ejpam-5003	419	37	2	CARDINAL
ejpam-5003	419	38	4	DATE
ejpam-5003	419	39	3	CARDINAL
ejpam-5003	419	40	4	CARDINAL
ejpam-5003	419	41	0	CARDINAL
ejpam-5003	419	42	4	DATE
ejpam-5003	419	43	cabardo	PERSON
ejpam-5003	419	44	g. petalcorin	PERSON
ejpam-5003	420	1	j. pure	PERSON
ejpam-5003	420	2	17	CARDINAL
ejpam-5003	420	3	1	CARDINAL
ejpam-5003	420	4	2024	CARDINAL
ejpam-5003	420	5	222	CARDINAL
ejpam-5003	421	1	0	CARDINAL
ejpam-5003	421	2	0	DATE
ejpam-5003	421	3	0	CARDINAL
ejpam-5003	421	4	2	CARDINAL
ejpam-5003	421	5	1	CARDINAL
ejpam-5003	421	6	1	CARDINAL
ejpam-5003	421	7	1	CARDINAL
ejpam-5003	421	8	3	CARDINAL
ejpam-5003	421	9	2	CARDINAL
ejpam-5003	421	10	0	DATE
ejpam-5003	421	11	2	CARDINAL
ejpam-5003	421	12	2	DATE
ejpam-5003	421	13	3	CARDINAL
ejpam-5003	421	14	3	CARDINAL
ejpam-5003	421	15	4	CARDINAL
ejpam-5003	421	16	4	DATE
ejpam-5003	422	1	1θ3	CARDINAL
ejpam-5003	422	2	2θ0	CARDINAL
ejpam-5003	422	3	1⊛ 2	CARDINAL
ejpam-5003	422	4	2}̸ θ{3	QUANTITY
ejpam-5003	424	1	2	CARDINAL
ejpam-5003	424	2	lemma	ORG
ejpam-5003	424	3	p∗(h	TIME
ejpam-5003	425	1	7	CARDINAL
ejpam-5003	426	1	⊆	CARDINAL
ejpam-5003	428	1	⊆	CARDINAL
ejpam-5003	429	1	15(ii	CARDINAL
ejpam-5003	429	2	∈	ORG
ejpam-5003	430	1	∈	ORG
ejpam-5003	430	2	∈	ORG
ejpam-5003	431	1	∈	ORG
ejpam-5003	432	1	∈	ORG
ejpam-5003	433	1	∈	ORG
ejpam-5003	433	2	∈	ORG
ejpam-5003	434	1	∈	ORG
ejpam-5003	435	1	cθb	PERSON
ejpam-5003	438	1	8	CARDINAL
ejpam-5003	439	1	h. (ii	PERSON
ejpam-5003	439	2	∈	ORG
ejpam-5003	441	1	aθa	ORG
ejpam-5003	442	1	x′	DATE
ejpam-5003	442	2	x′θy′.	ORG
ejpam-5003	443	1	lemma 7	ORG
ejpam-5003	445	1	∼s	NORP
ejpam-5003	445	2	13	CARDINAL
ejpam-5003	446	1	3	CARDINAL
ejpam-5003	447	1	h.	PERSON
ejpam-5003	447	2	∼s	ORG
ejpam-5003	448	1	lemma 4	ORG
ejpam-5003	448	2	∼s	ORG
ejpam-5003	449	1	∼s	ORG
ejpam-5003	449	2	8	CARDINAL
ejpam-5003	450	1	∈	ORG
ejpam-5003	451	1	⊆	CARDINAL
ejpam-5003	451	2	⊆	CARDINAL
ejpam-5003	451	3	⊆	CARDINAL
ejpam-5003	451	4	⊆	CARDINAL
ejpam-5003	451	5	3(ii	CARDINAL
ejpam-5003	451	6	⊆	CARDINAL
ejpam-5003	451	7	⊆	CARDINAL
ejpam-5003	451	8	⊆	CARDINAL
ejpam-5003	451	9	x⊛a	ORG
ejpam-5003	451	10	⊆	CARDINAL
ejpam-5003	451	11	⊆	CARDINAL
ejpam-5003	451	12	⊆	CARDINAL
ejpam-5003	451	13	⊆	CARDINAL
ejpam-5003	451	14	a. similarly	PERSON
ejpam-5003	451	15	⊆	CARDINAL
ejpam-5003	451	16	y ⊛ a. thus	PERSON
ejpam-5003	452	1	∈	ORG
ejpam-5003	453	1	⊆	CARDINAL
ejpam-5003	453	2	⊆	CARDINAL
ejpam-5003	453	3	∈	ORG
ejpam-5003	453	4	∼s	ORG
ejpam-5003	453	5	3	CARDINAL
ejpam-5003	453	6	l.r	TIME
ejpam-5003	453	7	cabardo	PERSON
ejpam-5003	453	8	g. petalcorin	PERSON
ejpam-5003	454	1	j. pure	PERSON
ejpam-5003	454	2	17	CARDINAL
ejpam-5003	454	3	1	CARDINAL
ejpam-5003	454	4	2024	CARDINAL
ejpam-5003	454	5	222	CARDINAL
ejpam-5003	454	6	22	CARDINAL
ejpam-5003	455	1	0	CARDINAL
ejpam-5003	455	2	1	DATE
ejpam-5003	455	3	2	DATE
ejpam-5003	455	4	3	DATE
ejpam-5003	455	5	4	DATE
ejpam-5003	455	6	5	CARDINAL
ejpam-5003	456	1	0 1 2 3 4 5	QUANTITY
ejpam-5003	456	2	0	CARDINAL
ejpam-5003	456	3	1	CARDINAL
ejpam-5003	456	4	2	CARDINAL
ejpam-5003	456	5	3	CARDINAL
ejpam-5003	456	6	4	CARDINAL
ejpam-5003	456	7	5	CARDINAL
ejpam-5003	456	8	1	CARDINAL
ejpam-5003	456	9	1	CARDINAL
ejpam-5003	456	10	0	CARDINAL
ejpam-5003	456	11	1	CARDINAL
ejpam-5003	456	12	2	CARDINAL
ejpam-5003	456	13	3	CARDINAL
ejpam-5003	456	14	4	CARDINAL
ejpam-5003	456	15	5	CARDINAL
ejpam-5003	456	16	2	CARDINAL
ejpam-5003	456	17	2	CARDINAL
ejpam-5003	456	18	2	CARDINAL
ejpam-5003	456	19	0	CARDINAL
ejpam-5003	456	20	1	CARDINAL
ejpam-5003	456	21	0	CARDINAL
ejpam-5003	456	22	1	CARDINAL
ejpam-5003	456	23	0	CARDINAL
ejpam-5003	456	24	4	CARDINAL
ejpam-5003	456	25	0	CARDINAL
ejpam-5003	456	26	5	CARDINAL
ejpam-5003	456	27	3	CARDINAL
ejpam-5003	456	28	3	CARDINAL
ejpam-5003	456	29	3	CARDINAL
ejpam-5003	456	30	0	CARDINAL
ejpam-5003	456	31	1	CARDINAL
ejpam-5003	456	32	0	CARDINAL
ejpam-5003	456	33	1	CARDINAL
ejpam-5003	456	34	0	CARDINAL
ejpam-5003	456	35	4	CARDINAL
ejpam-5003	456	36	0	CARDINAL
ejpam-5003	456	37	5	CARDINAL
ejpam-5003	456	38	4	CARDINAL
ejpam-5003	456	39	4	CARDINAL
ejpam-5003	456	40	4	CARDINAL
ejpam-5003	456	41	0	CARDINAL
ejpam-5003	456	42	4	CARDINAL
ejpam-5003	456	43	0	CARDINAL
ejpam-5003	456	44	4	CARDINAL
ejpam-5003	456	45	0	CARDINAL
ejpam-5003	456	46	1	CARDINAL
ejpam-5003	456	47	0	CARDINAL
ejpam-5003	456	48	1	CARDINAL
ejpam-5003	456	49	5	CARDINAL
ejpam-5003	456	50	5	CARDINAL
ejpam-5003	456	51	5	CARDINAL
ejpam-5003	456	52	0	CARDINAL
ejpam-5003	456	53	5	CARDINAL
ejpam-5003	456	54	0	CARDINAL
ejpam-5003	456	55	5	CARDINAL
ejpam-5003	456	56	0	CARDINAL
ejpam-5003	456	57	1	CARDINAL
ejpam-5003	456	58	0	CARDINAL
ejpam-5003	456	59	1	CARDINAL
ejpam-5003	457	1	0	CARDINAL
ejpam-5003	457	2	1	CARDINAL
ejpam-5003	457	3	∼s	ORG
ejpam-5003	458	1	⊆	CARDINAL
ejpam-5003	458	2	0	CARDINAL
ejpam-5003	458	3	0	DATE
ejpam-5003	458	4	0	CARDINAL
ejpam-5003	458	5	1	CARDINAL
ejpam-5003	458	6	1	CARDINAL
ejpam-5003	458	7	0	DATE
ejpam-5003	458	8	1	CARDINAL
ejpam-5003	458	9	1	CARDINAL
ejpam-5003	458	10	2	CARDINAL
ejpam-5003	458	11	2	CARDINAL
ejpam-5003	458	12	2	CARDINAL
ejpam-5003	458	13	3	CARDINAL
ejpam-5003	458	14	2	CARDINAL
ejpam-5003	458	15	3	CARDINAL
ejpam-5003	458	16	4	CARDINAL
ejpam-5003	458	17	4	DATE
ejpam-5003	458	18	4	CARDINAL
ejpam-5003	458	19	5	CARDINAL
ejpam-5003	458	20	4	DATE
ejpam-5003	458	21	5	CARDINAL
ejpam-5003	458	22	5	DATE
ejpam-5003	459	1	∼s	ORG
ejpam-5003	460	1	∼s	ORG
ejpam-5003	460	2	8	CARDINAL
ejpam-5003	461	1	∈	ORG
ejpam-5003	461	2	⊆	CARDINAL
ejpam-5003	461	3	2	CARDINAL
ejpam-5003	461	4	3 ⊆	CARDINAL
ejpam-5003	461	5	4	CARDINAL
ejpam-5003	461	6	4 ⊆	CARDINAL
ejpam-5003	461	7	2	CARDINAL
ejpam-5003	461	8	4	CARDINAL
ejpam-5003	461	9	3	CARDINAL
ejpam-5003	461	10	0	CARDINAL
ejpam-5003	461	11	1	DATE
ejpam-5003	461	12	4	CARDINAL
ejpam-5003	461	13	̸⊆ s. therefore	PERSON
ejpam-5003	463	1	23	CARDINAL
ejpam-5003	464	1	0	CARDINAL
ejpam-5003	464	2	1	DATE
ejpam-5003	464	3	2	DATE
ejpam-5003	464	4	3	DATE
ejpam-5003	464	5	4	CARDINAL
ejpam-5003	465	1	0 1 2 3 4	QUANTITY
ejpam-5003	465	2	0	CARDINAL
ejpam-5003	465	3	1	CARDINAL
ejpam-5003	465	4	3	CARDINAL
ejpam-5003	465	5	2	CARDINAL
ejpam-5003	465	6	4	CARDINAL
ejpam-5003	465	7	1	CARDINAL
ejpam-5003	465	8	1	CARDINAL
ejpam-5003	465	9	0	CARDINAL
ejpam-5003	465	10	1	CARDINAL
ejpam-5003	465	11	2	CARDINAL
ejpam-5003	465	12	3	CARDINAL
ejpam-5003	465	13	4	CARDINAL
ejpam-5003	465	14	2	CARDINAL
ejpam-5003	465	15	2	CARDINAL
ejpam-5003	465	16	3	CARDINAL
ejpam-5003	465	17	0	CARDINAL
ejpam-5003	465	18	2	DATE
ejpam-5003	465	19	3	CARDINAL
ejpam-5003	465	20	1	CARDINAL
ejpam-5003	465	21	2	DATE
ejpam-5003	465	22	3	CARDINAL
ejpam-5003	465	23	0	CARDINAL
ejpam-5003	465	24	1	CARDINAL
ejpam-5003	465	25	3	CARDINAL
ejpam-5003	465	26	3	CARDINAL
ejpam-5003	465	27	2	CARDINAL
ejpam-5003	465	28	1	CARDINAL
ejpam-5003	465	29	2	DATE
ejpam-5003	465	30	3	CARDINAL
ejpam-5003	465	31	0	CARDINAL
ejpam-5003	465	32	2	DATE
ejpam-5003	465	33	3	CARDINAL
ejpam-5003	465	34	0	CARDINAL
ejpam-5003	465	35	1	CARDINAL
ejpam-5003	465	36	4	CARDINAL
ejpam-5003	465	37	4	CARDINAL
ejpam-5003	465	38	4	CARDINAL
ejpam-5003	465	39	0	CARDINAL
ejpam-5003	465	40	1	CARDINAL
ejpam-5003	465	41	0	CARDINAL
ejpam-5003	465	42	1	CARDINAL
ejpam-5003	465	43	0	CARDINAL
ejpam-5003	465	44	4	CARDINAL
ejpam-5003	466	1	0	CARDINAL
ejpam-5003	466	2	0	DATE
ejpam-5003	466	3	0	CARDINAL
ejpam-5003	466	4	1	CARDINAL
ejpam-5003	466	5	1	CARDINAL
ejpam-5003	466	6	0	DATE
ejpam-5003	466	7	1	CARDINAL
ejpam-5003	466	8	1	CARDINAL
ejpam-5003	466	9	2	CARDINAL
ejpam-5003	466	10	2	CARDINAL
ejpam-5003	466	11	2	CARDINAL
ejpam-5003	466	12	3	CARDINAL
ejpam-5003	466	13	2	CARDINAL
ejpam-5003	466	14	3	CARDINAL
ejpam-5003	466	15	4	CARDINAL
ejpam-5003	466	16	4	DATE
ejpam-5003	468	1	8	CARDINAL
ejpam-5003	469	1	0	CARDINAL
ejpam-5003	469	2	1	CARDINAL
ejpam-5003	469	3	2⊛ 2	CARDINAL
ejpam-5003	469	4	0	CARDINAL
ejpam-5003	469	5	2	DATE
ejpam-5003	469	6	3	CARDINAL
ejpam-5003	471	1	4⊛	CARDINAL
ejpam-5003	471	2	3 ⊆	CARDINAL
ejpam-5003	472	1	4⊛	CARDINAL
ejpam-5003	472	2	3	CARDINAL
ejpam-5003	472	3	0	CARDINAL
ejpam-5003	472	4	1	DATE
ejpam-5003	472	5	2	DATE
ejpam-5003	472	6	3	DATE
ejpam-5003	472	7	4	CARDINAL
ejpam-5003	474	1	6	CARDINAL
ejpam-5003	475	1	13	CARDINAL
ejpam-5003	476	1	h.	PERSON
ejpam-5003	477	1	h. l.r. cabardo	PERSON
ejpam-5003	477	2	g. petalcorin	PERSON
ejpam-5003	478	1	j. pure	PERSON
ejpam-5003	478	2	17	CARDINAL
ejpam-5003	478	3	1	CARDINAL
ejpam-5003	478	4	2024	CARDINAL
ejpam-5003	478	5	222	CARDINAL
ejpam-5003	483	1	yθ0	PERSON
ejpam-5003	484	1	yθx	FAC
ejpam-5003	484	2	0θy	ORG
ejpam-5003	484	3	8	CARDINAL
ejpam-5003	485	1	∈	ORG
ejpam-5003	485	2	yθ0	PERSON
ejpam-5003	485	3	∈	ORG
ejpam-5003	486	1	⊆	CARDINAL
ejpam-5003	487	1	3	CARDINAL
ejpam-5003	487	2	h. theorem 14	ORG
ejpam-5003	488	1	h.	PERSON
ejpam-5003	495	1	∈	ORG
ejpam-5003	497	1	y)θ0	GPE
ejpam-5003	498	1	yθ0	PERSON
ejpam-5003	498	2	0θy	ORG
ejpam-5003	499	1	0θy	ORG
ejpam-5003	499	2	8	CARDINAL
ejpam-5003	502	1	xθb′.	ORG
ejpam-5003	507	1	24	CARDINAL
ejpam-5003	508	1	0	CARDINAL
ejpam-5003	508	2	1	DATE
ejpam-5003	508	3	2	DATE
ejpam-5003	508	4	3	DATE
ejpam-5003	508	5	4	CARDINAL
ejpam-5003	508	6	example 23	DATE
ejpam-5003	511	1	0	CARDINAL
ejpam-5003	511	2	1	CARDINAL
ejpam-5003	511	3	2	CARDINAL
ejpam-5003	511	4	3	CARDINAL
ejpam-5003	511	5	4	CARDINAL
ejpam-5003	516	1	15	CARDINAL
ejpam-5003	519	1	0]θ	DATE
ejpam-5003	520	1	∈	ORG
ejpam-5003	524	1	l.r	PERSON
ejpam-5003	524	2	cabardo	PERSON
ejpam-5003	524	3	g. petalcorin	PERSON
ejpam-5003	525	1	j. pure	PERSON
ejpam-5003	525	2	17	CARDINAL
ejpam-5003	525	3	1	CARDINAL
ejpam-5003	525	4	2024	CARDINAL
ejpam-5003	525	5	222	CARDINAL
ejpam-5003	526	1	first	ORDINAL
ejpam-5003	526	2	⊗	ORG
ejpam-5003	526	3	h/i.	ORG
ejpam-5003	526	4	x′	DATE
ejpam-5003	527	1	j ∈	PERSON
ejpam-5003	528	1	xθx′	PRODUCT
ejpam-5003	529	1	z′ ∈	PERSON
ejpam-5003	529	2	uθz′	GPE
ejpam-5003	529	3	j = iu =	PERSON
ejpam-5003	530	1	j ∈	PERSON
ejpam-5003	530	2	⊗	ORG
ejpam-5003	531	1	⊗	ORG
ejpam-5003	532	1	⊗	ORG
ejpam-5003	533	1	x′	DATE
ejpam-5003	536	1	x′	DATE
ejpam-5003	540	1	⊗	ORG
ejpam-5003	540	2	⊆	CARDINAL
ejpam-5003	542	1	⊗	ORG
ejpam-5003	542	2	⊗	ORG
ejpam-5003	542	3	h/i.	ORG
ejpam-5003	542	4	5	CARDINAL
ejpam-5003	542	5	∈	ORG
ejpam-5003	542	6	x.	PERSON
ejpam-5003	544	1	∈	ORG
ejpam-5003	545	1	5(ii	CARDINAL
ejpam-5003	545	2	h/i.	ORG
ejpam-5003	546	1	∈	ORG
ejpam-5003	546	2	⊗	ORG
ejpam-5003	547	1	w′ ∈	PERSON
ejpam-5003	547	2	⊆	CARDINAL
ejpam-5003	547	3	z)⊛	PERSON
ejpam-5003	547	4	∈	ORG
ejpam-5003	547	5	⊗	ORG
ejpam-5003	548	1	iw	ORG
ejpam-5003	550	1	⊆	CARDINAL
ejpam-5003	551	1	∈	ORG
ejpam-5003	552	1	∈	ORG
ejpam-5003	552	2	∈	ORG
ejpam-5003	556	1	∈	ORG
ejpam-5003	557	1	∈	ORG
ejpam-5003	559	1	∈	ORG
ejpam-5003	560	1	⊆	CARDINAL
ejpam-5003	560	2	0⊛z)⊛	DATE
ejpam-5003	560	3	x⊛y)⊛z	DATE
ejpam-5003	561	1	∈	ORG
ejpam-5003	562	1	⊆	CARDINAL
ejpam-5003	563	1	⊗	NORP
ejpam-5003	564	1	⊗	ORG
ejpam-5003	564	2	h/i.	ORG
ejpam-5003	565	1	16	CARDINAL
ejpam-5003	568	1	0]θ	DATE
ejpam-5003	569	1	∈	ORG
ejpam-5003	569	2	h/i. proof.	ORG
ejpam-5003	574	1	16	CARDINAL
ejpam-5003	576	1	24	CARDINAL
ejpam-5003	576	2	0⊛ 3	CARDINAL
ejpam-5003	576	3	2	CARDINAL
ejpam-5003	576	4	3	CARDINAL
ejpam-5003	578	1	9	CARDINAL
ejpam-5003	583	1	∈	ORG
ejpam-5003	585	1	0	CARDINAL
ejpam-5003	585	2	0	CARDINAL
ejpam-5003	585	3	0	CARDINAL
ejpam-5003	587	1	⊆	CARDINAL
ejpam-5003	588	1	1(iii	CARDINAL
ejpam-5003	591	1	l.r	PERSON
ejpam-5003	591	2	cabardo	PERSON
ejpam-5003	591	3	g. petalcorin	PERSON
ejpam-5003	592	1	j. pure	PERSON
ejpam-5003	592	2	17	CARDINAL
ejpam-5003	592	3	1	CARDINAL
ejpam-5003	592	4	2024	CARDINAL
ejpam-5003	592	5	222-242 240	MONEY
ejpam-5003	592	6	9	CARDINAL
ejpam-5003	593	1	16	DATE
ejpam-5003	594	1	17	CARDINAL
ejpam-5003	601	1	8	CARDINAL
ejpam-5003	601	2	x)θ(x	PRODUCT
ejpam-5003	603	1	0θs	ORDINAL
ejpam-5003	608	1	θ′	DATE
ejpam-5003	608	2	xθ′y	PERSON
ejpam-5003	609	1	xθ′y	PERSON
ejpam-5003	611	1	0θ′s	CARDINAL
ejpam-5003	617	1	17	CARDINAL
ejpam-5003	619	1	25	CARDINAL
ejpam-5003	620	1	0	CARDINAL
ejpam-5003	620	2	example 1	DATE
ejpam-5003	622	1	0	CARDINAL
ejpam-5003	622	2	1	DATE
ejpam-5003	622	3	2	DATE
ejpam-5003	622	4	3	CARDINAL
ejpam-5003	622	5	15	CARDINAL
ejpam-5003	623	1	26	CARDINAL
ejpam-5003	624	1	0	CARDINAL
ejpam-5003	624	2	1	DATE
ejpam-5003	624	3	2	CARDINAL
ejpam-5003	624	4	2	CARDINAL
ejpam-5003	624	5	1	CARDINAL
ejpam-5003	624	6	2	CARDINAL
ejpam-5003	624	7	1	CARDINAL
ejpam-5003	625	1	0	CARDINAL
ejpam-5003	625	2	1	DATE
ejpam-5003	625	3	2	DATE
ejpam-5003	625	4	3	CARDINAL
ejpam-5003	625	5	3	CARDINAL
ejpam-5003	625	6	2	CARDINAL
ejpam-5003	625	7	3	CARDINAL
ejpam-5003	625	8	2	CARDINAL
ejpam-5003	625	9	23	CARDINAL
ejpam-5003	625	10	2	CARDINAL
ejpam-5003	625	11	4)θ{0	CARDINAL
ejpam-5003	625	12	2	CARDINAL
ejpam-5003	625	13	4	DATE
ejpam-5003	627	1	24	CARDINAL
ejpam-5003	628	1	i4	ORG
ejpam-5003	629	1	27	CARDINAL
ejpam-5003	630	1	0	CARDINAL
ejpam-5003	630	2	0	DATE
ejpam-5003	630	3	0	CARDINAL
ejpam-5003	630	4	1	CARDINAL
ejpam-5003	630	5	1	CARDINAL
ejpam-5003	630	6	0	DATE
ejpam-5003	630	7	1	CARDINAL
ejpam-5003	630	8	1	CARDINAL
ejpam-5003	630	9	2	CARDINAL
ejpam-5003	630	10	2	CARDINAL
ejpam-5003	630	11	2	CARDINAL
ejpam-5003	630	12	2	CARDINAL
ejpam-5003	630	13	4	DATE
ejpam-5003	630	14	3	CARDINAL
ejpam-5003	630	15	2	CARDINAL
ejpam-5003	630	16	3	CARDINAL
ejpam-5003	630	17	3	CARDINAL
ejpam-5003	630	18	4	CARDINAL
ejpam-5003	630	19	2	DATE
ejpam-5003	630	20	4	CARDINAL
ejpam-5003	630	21	3	DATE
ejpam-5003	630	22	4	CARDINAL
ejpam-5003	630	23	4	DATE
ejpam-5003	630	24	23	CARDINAL
ejpam-5003	633	1	0	CARDINAL
ejpam-5003	633	2	1	CARDINAL
ejpam-5003	634	1	2]θ	DATE
ejpam-5003	634	2	2	CARDINAL
ejpam-5003	634	3	3	DATE
ejpam-5003	634	4	4	CARDINAL
ejpam-5003	635	1	⊗	ORG
ejpam-5003	637	1	27	CARDINAL
ejpam-5003	639	1	241	CARDINAL
ejpam-5003	639	2	18	CARDINAL
ejpam-5003	645	1	15	CARDINAL
ejpam-5003	653	1	5	CARDINAL
ejpam-5003	663	1	the department of science and technology	ORG
ejpam-5003	665	1	1	CARDINAL
ejpam-5003	665	2	borzooei	PERSON
ejpam-5003	665	3	w.a.	GPE
ejpam-5003	665	4	dudek	ORG
ejpam-5003	665	5	n. koohestani	PERSON
ejpam-5003	666	1	bcc	ORG
ejpam-5003	667	1	international journal of mathematics	ORG
ejpam-5003	667	2	2006	DATE
ejpam-5003	668	1	2	CARDINAL
ejpam-5003	668	2	cabardo	PERSON
ejpam-5003	668	3	g. petalcorin	PERSON
ejpam-5003	670	1	16:45–62	CARDINAL
ejpam-5003	670	2	2018	DATE
ejpam-5003	671	1	3	CARDINAL
ejpam-5003	671	2	cabardo	PERSON
ejpam-5003	671	3	g. petalcorin	PERSON
ejpam-5003	673	1	italian	NORP
ejpam-5003	673	2	48:406–422	CARDINAL
ejpam-5003	673	3	2022	CARDINAL
ejpam-5003	674	1	242	CARDINAL
ejpam-5003	674	2	4	CARDINAL
ejpam-5003	674	3	s.	PERSON
ejpam-5003	675	1	krasner hyperrings	ORG
ejpam-5003	676	1	iranian	NORP
ejpam-5003	676	2	2017	DATE
ejpam-5003	677	1	5	CARDINAL
ejpam-5003	677	2	j. endam	PERSON
ejpam-5003	679	1	phd thesis	PERSON
ejpam-5003	679	2	mindanao state university iligan institute of technology	ORG
ejpam-5003	679	3	2019	DATE
ejpam-5003	680	1	6	CARDINAL
ejpam-5003	680	2	hungerford	ORG
ejpam-5003	681	1	new york	GPE
ejpam-5003	681	2	1974	DATE
ejpam-5003	682	1	7	CARDINAL
ejpam-5003	682	2	indangan	PERSON
ejpam-5003	682	3	g. petalcorin	PERSON
ejpam-5003	684	1	14:101–120	CARDINAL
ejpam-5003	684	2	2016	DATE
ejpam-5003	685	1	8	CARDINAL
ejpam-5003	685	2	kim	PERSON
ejpam-5003	685	3	h.s. kim	PERSON
ejpam-5003	686	1	kyungpook mathematical journal	ORG
ejpam-5003	686	2	184	CARDINAL
ejpam-5003	686	3	2013	DATE
ejpam-5003	687	1	9	CARDINAL
ejpam-5003	687	2	f. marty	PERSON
ejpam-5003	688	1	sur une generalization de la	ORG
ejpam-5003	689	1	8th congres	LOC
ejpam-5003	689	2	scandinave	GPE
ejpam-5003	689	3	stockholm	GPE
ejpam-5003	689	4	sweden	GPE
ejpam-5003	689	5	1934	DATE
ejpam-5003	690	1	10	CARDINAL
ejpam-5003	690	2	x.l.	PERSON
ejpam-5003	694	1	gen	PERSON
ejpam-5003	694	2	26:5–19	CARDINAL
ejpam-5003	694	3	2006	DATE