id	sid	eid	entity	type
ejpam-6974	1	1	european journal	ORG
ejpam-6974	1	2	2025	DATE
ejpam-6974	1	3	18	CARDINAL
ejpam-6974	1	4	4	CARDINAL
ejpam-6974	1	5	6974	CARDINAL
ejpam-6974	1	6	1307-5543	DATE
ejpam-6974	1	7	new york	GPE
ejpam-6974	1	8	clive martin g. chan1,∗	PERSON
ejpam-6974	1	9	1	CARDINAL
ejpam-6974	1	10	university of san carlos	ORG
ejpam-6974	1	11	cebu city	GPE
ejpam-6974	1	12	cebu	GPE
ejpam-6974	1	13	philippines	GPE
ejpam-6974	6	1	at least 3	CARDINAL
ejpam-6974	9	1	2020	DATE
ejpam-6974	9	2	06f35	CARDINAL
ejpam-6974	9	3	47l45	CARDINAL
ejpam-6974	9	4	08c05	CARDINAL
ejpam-6974	9	5	20a05	CARDINAL
ejpam-6974	9	6	20f14	CARDINAL
ejpam-6974	9	7	1	CARDINAL
ejpam-6974	9	8	the 1960s	DATE
ejpam-6974	9	9	algebras	ORG
ejpam-6974	10	1	1	CARDINAL
ejpam-6974	10	2	bch	GPE
ejpam-6974	11	1	2	CARDINAL
ejpam-6974	11	2	3	CARDINAL
ejpam-6974	11	3	bh-algebras	ORG
ejpam-6974	11	4	4	CARDINAL
ejpam-6974	12	1	kim	PERSON
ejpam-6974	13	1	5	CARDINAL
ejpam-6974	14	1	6	CARDINAL
ejpam-6974	14	2	kim	PERSON
ejpam-6974	14	3	kim	PERSON
ejpam-6974	14	4	bg-algebras	PERSON
ejpam-6974	15	1	7	CARDINAL
ejpam-6974	16	1	algebras	ORG
ejpam-6974	17	1	kim	PERSON
ejpam-6974	17	2	8	CARDINAL
ejpam-6974	17	3	kim	PERSON
ejpam-6974	17	4	kim	PERSON
ejpam-6974	18	1	9	CARDINAL
ejpam-6974	18	2	walendziak	ORG
ejpam-6974	19	1	10	CARDINAL
ejpam-6974	19	2	meng	PERSON
ejpam-6974	19	3	ci-algebras	PERSON
ejpam-6974	20	1	11	CARDINAL
ejpam-6974	20	2	saeid	PERSON
ejpam-6974	20	3	ci-algebras	ORG
ejpam-6974	21	1	12	CARDINAL
ejpam-6974	21	2	13	CARDINAL
ejpam-6974	22	1	algebras	ORG
ejpam-6974	23	1	bg-algebras	ORG
ejpam-6974	26	1	c.m. chan	PERSON
ejpam-6974	26	2	kebelleza@usc.edu.ph	PERSON
ejpam-6974	26	3	k. fuentes	PERSON
ejpam-6974	27	1	1	CARDINAL
ejpam-6974	27	2	2025	CARDINAL
ejpam-6974	28	1	chan	ORG
ejpam-6974	28	2	k. fuentes	PERSON
ejpam-6974	29	1	j. pure	PERSON
ejpam-6974	29	2	18	CARDINAL
ejpam-6974	29	3	4	CARDINAL
ejpam-6974	29	4	2025	CARDINAL
ejpam-6974	29	5	6974 2	DATE
ejpam-6974	29	6	16 2	CARDINAL
ejpam-6974	29	7	1	CARDINAL
ejpam-6974	30	1	14	CARDINAL
ejpam-6974	30	2	∗	CARDINAL
ejpam-6974	31	1	2	CARDINAL
ejpam-6974	32	1	14	CARDINAL
ejpam-6974	32	2	∗	CARDINAL
ejpam-6974	32	3	∗	CARDINAL
ejpam-6974	32	4	∗	CARDINAL
ejpam-6974	32	5	∈	ORG
ejpam-6974	32	6	|g|	GPE
ejpam-6974	33	1	1	CARDINAL
ejpam-6974	34	1	14	CARDINAL
ejpam-6974	34	2	∈	ORG
ejpam-6974	35	1	∈	ORG
ejpam-6974	35	2	∗	CARDINAL
ejpam-6974	35	3	∗	CARDINAL
ejpam-6974	35	4	∗	CARDINAL
ejpam-6974	35	5	−1	DATE
ejpam-6974	36	1	∈	ORG
ejpam-6974	36	2	3	CARDINAL
ejpam-6974	37	1	13	CARDINAL
ejpam-6974	37	2	1	CARDINAL
ejpam-6974	37	3	1	CARDINAL
ejpam-6974	40	1	1	CARDINAL
ejpam-6974	40	2	1	CARDINAL
ejpam-6974	40	3	1	CARDINAL
ejpam-6974	40	4	1	CARDINAL
ejpam-6974	41	1	13	CARDINAL
ejpam-6974	41	2	1	CARDINAL
ejpam-6974	42	1	c.m. chan	PERSON
ejpam-6974	42	2	k. fuentes	PERSON
ejpam-6974	43	1	j. pure	PERSON
ejpam-6974	43	2	18	CARDINAL
ejpam-6974	43	3	4	CARDINAL
ejpam-6974	43	4	2025	CARDINAL
ejpam-6974	43	5	6974 3	DATE
ejpam-6974	43	6	16	CARDINAL
ejpam-6974	43	7	1	CARDINAL
ejpam-6974	44	1	13	CARDINAL
ejpam-6974	45	1	1	CARDINAL
ejpam-6974	45	2	4	CARDINAL
ejpam-6974	46	1	7	CARDINAL
ejpam-6974	49	1	2	CARDINAL
ejpam-6974	50	1	0	CARDINAL
ejpam-6974	50	2	1	DATE
ejpam-6974	50	3	2	CARDINAL
ejpam-6974	50	4	2	CARDINAL
ejpam-6974	50	5	∗	CARDINAL
ejpam-6974	51	1	0	CARDINAL
ejpam-6974	51	2	∗	CARDINAL
ejpam-6974	52	1	3	CARDINAL
ejpam-6974	53	1	5	CARDINAL
ejpam-6974	54	1	1	CARDINAL
ejpam-6974	54	2	1	CARDINAL
ejpam-6974	55	1	1	CARDINAL
ejpam-6974	55	2	1	CARDINAL
ejpam-6974	55	3	1	CARDINAL
ejpam-6974	56	1	3	CARDINAL
ejpam-6974	57	1	1	CARDINAL
ejpam-6974	57	2	3	CARDINAL
ejpam-6974	57	3	1	CARDINAL
ejpam-6974	57	4	1	CARDINAL
ejpam-6974	57	5	1	CARDINAL
ejpam-6974	57	6	1	CARDINAL
ejpam-6974	57	7	1	CARDINAL
ejpam-6974	57	8	1	CARDINAL
ejpam-6974	58	1	4	CARDINAL
ejpam-6974	59	1	1	CARDINAL
ejpam-6974	59	2	dbg2	ORG
ejpam-6974	59	3	1	CARDINAL
ejpam-6974	59	4	1	CARDINAL
ejpam-6974	59	5	1	CARDINAL
ejpam-6974	60	1	1	CARDINAL
ejpam-6974	60	2	1	CARDINAL
ejpam-6974	60	3	1	CARDINAL
ejpam-6974	60	4	1	CARDINAL
ejpam-6974	61	1	c.m. chan	PERSON
ejpam-6974	61	2	k. fuentes	PERSON
ejpam-6974	62	1	j. pure	PERSON
ejpam-6974	62	2	18	CARDINAL
ejpam-6974	62	3	4	CARDINAL
ejpam-6974	62	4	2025	CARDINAL
ejpam-6974	62	5	6974 4	DATE
ejpam-6974	62	6	16	CARDINAL
ejpam-6974	62	7	5	CARDINAL
ejpam-6974	63	1	5	CARDINAL
ejpam-6974	63	2	1	CARDINAL
ejpam-6974	63	3	1	CARDINAL
ejpam-6974	64	1	2	CARDINAL
ejpam-6974	64	2	1	CARDINAL
ejpam-6974	64	3	3	CARDINAL
ejpam-6974	64	4	1	CARDINAL
ejpam-6974	64	5	1	CARDINAL
ejpam-6974	65	1	1	CARDINAL
ejpam-6974	65	2	2	CARDINAL
ejpam-6974	65	3	3	CARDINAL
ejpam-6974	65	4	4	CARDINAL
ejpam-6974	65	5	4	CARDINAL
ejpam-6974	65	6	x3	GPE
ejpam-6974	65	7	1 1	CARDINAL
ejpam-6974	65	8	1	CARDINAL
ejpam-6974	65	9	1	CARDINAL
ejpam-6974	65	10	2 1	DATE
ejpam-6974	65	11	1 1	CARDINAL
ejpam-6974	65	12	1	CARDINAL
ejpam-6974	65	13	1	CARDINAL
ejpam-6974	65	14	1 1	CARDINAL
ejpam-6974	65	15	1	CARDINAL
ejpam-6974	65	16	1	CARDINAL
ejpam-6974	65	17	1	CARDINAL
ejpam-6974	65	18	dbg2	ORG
ejpam-6974	66	1	1	CARDINAL
ejpam-6974	66	2	1	CARDINAL
ejpam-6974	67	1	dbg2	ORG
ejpam-6974	67	2	1	CARDINAL
ejpam-6974	67	3	dbg2	ORG
ejpam-6974	67	4	3 1	DATE
ejpam-6974	67	5	3	CARDINAL
ejpam-6974	67	6	3	CARDINAL
ejpam-6974	68	1	3	CARDINAL
ejpam-6974	68	2	6	CARDINAL
ejpam-6974	69	1	1	CARDINAL
ejpam-6974	69	2	3	CARDINAL
ejpam-6974	69	3	1	CARDINAL
ejpam-6974	71	1	∗	CARDINAL
ejpam-6974	71	2	1	CARDINAL
ejpam-6974	72	1	5	CARDINAL
ejpam-6974	72	2	∗	CARDINAL
ejpam-6974	72	3	1	CARDINAL
ejpam-6974	72	4	1	CARDINAL
ejpam-6974	72	5	1	CARDINAL
ejpam-6974	72	6	1	CARDINAL
ejpam-6974	72	7	1	CARDINAL
ejpam-6974	72	8	∗	CARDINAL
ejpam-6974	72	9	1	CARDINAL
ejpam-6974	72	10	bg1	ORG
ejpam-6974	72	11	x∗x	DATE
ejpam-6974	72	12	1	CARDINAL
ejpam-6974	72	13	bg2	ORG
ejpam-6974	73	1	1	CARDINAL
ejpam-6974	73	2	dbg2	ORG
ejpam-6974	73	3	x∗y)∗	ORG
ejpam-6974	73	4	1∗y	CARDINAL
ejpam-6974	73	5	1∗y	CARDINAL
ejpam-6974	73	6	1	CARDINAL
ejpam-6974	74	1	∗	CARDINAL
ejpam-6974	74	2	1	CARDINAL
ejpam-6974	74	3	1	CARDINAL
ejpam-6974	75	1	7	CARDINAL
ejpam-6974	75	2	∗	CARDINAL
ejpam-6974	75	3	1	CARDINAL
ejpam-6974	75	4	6	CARDINAL
ejpam-6974	75	5	1	CARDINAL
ejpam-6974	77	1	y ∈	PERSON
ejpam-6974	77	2	1	CARDINAL
ejpam-6974	77	3	3	CARDINAL
ejpam-6974	77	4	1	CARDINAL
ejpam-6974	80	1	1	CARDINAL
ejpam-6974	81	1	1	CARDINAL
ejpam-6974	82	1	∗	CARDINAL
ejpam-6974	82	2	1	CARDINAL
ejpam-6974	82	3	1	CARDINAL
ejpam-6974	83	1	c.m. chan	PERSON
ejpam-6974	83	2	k. fuentes	PERSON
ejpam-6974	84	1	j. pure	PERSON
ejpam-6974	84	2	18	CARDINAL
ejpam-6974	84	3	4	CARDINAL
ejpam-6974	84	4	2025	CARDINAL
ejpam-6974	84	5	6974 5	DATE
ejpam-6974	84	6	16	CARDINAL
ejpam-6974	85	1	1	CARDINAL
ejpam-6974	85	2	x.	GPE
ejpam-6974	85	3	1	CARDINAL
ejpam-6974	85	4	1	CARDINAL
ejpam-6974	85	5	bg2	ORG
ejpam-6974	86	1	1	CARDINAL
ejpam-6974	86	2	dbg2	ORG
ejpam-6974	86	3	1)	CARDINAL
ejpam-6974	87	1	∗	CARDINAL
ejpam-6974	87	2	1	CARDINAL
ejpam-6974	88	1	8	CARDINAL
ejpam-6974	89	1	1	CARDINAL
ejpam-6974	89	2	r\{0}	GPE
ejpam-6974	89	3	4	CARDINAL
ejpam-6974	89	4	1	CARDINAL
ejpam-6974	90	1	8	CARDINAL
ejpam-6974	91	1	1	CARDINAL
ejpam-6974	93	1	9	CARDINAL
ejpam-6974	94	1	1	CARDINAL
ejpam-6974	96	1	1	CARDINAL
ejpam-6974	97	1	6	CARDINAL
ejpam-6974	97	2	1	CARDINAL
ejpam-6974	97	3	1 1	CARDINAL
ejpam-6974	97	4	1	CARDINAL
ejpam-6974	97	5	1	CARDINAL
ejpam-6974	97	6	1	CARDINAL
ejpam-6974	97	7	x.	GPE
ejpam-6974	97	8	∗	CARDINAL
ejpam-6974	97	9	1	CARDINAL
ejpam-6974	97	10	1	CARDINAL
ejpam-6974	98	1	1	CARDINAL
ejpam-6974	100	1	2	CARDINAL
ejpam-6974	101	1	1	CARDINAL
ejpam-6974	101	2	x.	GPE
ejpam-6974	101	3	1	CARDINAL
ejpam-6974	103	1	1	CARDINAL
ejpam-6974	103	2	x.	GPE
ejpam-6974	103	3	1	CARDINAL
ejpam-6974	103	4	1	CARDINAL
ejpam-6974	103	5	bg2	ORG
ejpam-6974	103	6	1	CARDINAL
ejpam-6974	103	7	1	CARDINAL
ejpam-6974	103	8	dbg2	ORG
ejpam-6974	103	9	1	CARDINAL
ejpam-6974	104	1	1	CARDINAL
ejpam-6974	105	1	1	CARDINAL
ejpam-6974	106	1	1	CARDINAL
ejpam-6974	106	2	10	CARDINAL
ejpam-6974	107	1	∗	CARDINAL
ejpam-6974	108	1	2	CARDINAL
ejpam-6974	109	1	2 ∗	CARDINAL
ejpam-6974	109	2	∗	CARDINAL
ejpam-6974	109	3	2	CARDINAL
ejpam-6974	109	4	2	CARDINAL
ejpam-6974	109	5	2	CARDINAL
ejpam-6974	111	1	10	CARDINAL
ejpam-6974	112	1	2	CARDINAL
ejpam-6974	113	1	2	CARDINAL
ejpam-6974	114	1	2	CARDINAL
ejpam-6974	115	1	1	CARDINAL
ejpam-6974	116	1	chan	PERSON
ejpam-6974	116	2	k. fuentes	PERSON
ejpam-6974	117	1	j. pure	PERSON
ejpam-6974	117	2	18	CARDINAL
ejpam-6974	117	3	4	CARDINAL
ejpam-6974	117	4	2025	CARDINAL
ejpam-6974	117	5	6974 6	DATE
ejpam-6974	118	1	1	CARDINAL
ejpam-6974	118	2	1	CARDINAL
ejpam-6974	120	1	1	CARDINAL
ejpam-6974	120	2	1	CARDINAL
ejpam-6974	120	3	1	CARDINAL
ejpam-6974	120	4	1	CARDINAL
ejpam-6974	120	5	1	CARDINAL
ejpam-6974	120	6	1	CARDINAL
ejpam-6974	122	1	1	CARDINAL
ejpam-6974	122	2	x.	GPE
ejpam-6974	122	3	1	CARDINAL
ejpam-6974	123	1	1	CARDINAL
ejpam-6974	124	1	1	CARDINAL
ejpam-6974	124	2	1	CARDINAL
ejpam-6974	125	1	1	CARDINAL
ejpam-6974	126	1	1	CARDINAL
ejpam-6974	127	1	1	CARDINAL
ejpam-6974	128	1	1	CARDINAL
ejpam-6974	130	1	1	CARDINAL
ejpam-6974	132	1	1)	CARDINAL
ejpam-6974	132	2	1)	CARDINAL
ejpam-6974	134	1	1	CARDINAL
ejpam-6974	136	1	1	CARDINAL
ejpam-6974	137	1	1	CARDINAL
ejpam-6974	137	2	1	CARDINAL
ejpam-6974	139	1	1	CARDINAL
ejpam-6974	141	1	1	CARDINAL
ejpam-6974	142	1	2(ii	CARDINAL
ejpam-6974	143	1	1	CARDINAL
ejpam-6974	144	1	2(i	CARDINAL
ejpam-6974	145	1	1	CARDINAL
ejpam-6974	147	1	3	CARDINAL
ejpam-6974	148	1	1	CARDINAL
ejpam-6974	150	1	1	CARDINAL
ejpam-6974	151	1	1	CARDINAL
ejpam-6974	151	2	2	CARDINAL
ejpam-6974	152	1	3	CARDINAL
ejpam-6974	153	1	1	CARDINAL
ejpam-6974	153	2	2	CARDINAL
ejpam-6974	154	1	1	CARDINAL
ejpam-6974	154	2	1	CARDINAL
ejpam-6974	154	3	1	CARDINAL
ejpam-6974	155	1	1	CARDINAL
ejpam-6974	156	1	1	CARDINAL
ejpam-6974	157	1	dbg2	ORG
ejpam-6974	158	1	1	CARDINAL
ejpam-6974	159	1	1	CARDINAL
ejpam-6974	162	1	dbg2	ORG
ejpam-6974	163	1	1	CARDINAL
ejpam-6974	166	1	2	CARDINAL
ejpam-6974	167	1	∗	CARDINAL
ejpam-6974	167	2	1	CARDINAL
ejpam-6974	167	3	1	CARDINAL
ejpam-6974	168	1	1	CARDINAL
ejpam-6974	169	1	1	CARDINAL
ejpam-6974	171	1	∗	CARDINAL
ejpam-6974	171	2	1	CARDINAL
ejpam-6974	172	1	x.	GPE
ejpam-6974	172	2	1	CARDINAL
ejpam-6974	172	3	x−1 ∗	PERSON
ejpam-6974	172	4	1	CARDINAL
ejpam-6974	172	5	dbg2	ORG
ejpam-6974	172	6	1	CARDINAL
ejpam-6974	172	7	1−1 ∗	QUANTITY
ejpam-6974	172	8	1 ∗	QUANTITY
ejpam-6974	172	9	1	CARDINAL
ejpam-6974	172	10	chan	ORG
ejpam-6974	172	11	k. fuentes	PERSON
ejpam-6974	173	1	j. pure	PERSON
ejpam-6974	173	2	18	CARDINAL
ejpam-6974	173	3	4	CARDINAL
ejpam-6974	173	4	2025	CARDINAL
ejpam-6974	173	5	6974 7	DATE
ejpam-6974	173	6	1)−1 ∗	QUANTITY
ejpam-6974	174	1	∗ 1	DATE
ejpam-6974	174	2	∗ x	PERSON
ejpam-6974	174	3	y ∗	PERSON
ejpam-6974	174	4	∗ x	PERSON
ejpam-6974	174	5	y ∗ y−1	PERSON
ejpam-6974	174	6	1 ∗	QUANTITY
ejpam-6974	174	7	x.	PERSON
ejpam-6974	174	8	1	CARDINAL
ejpam-6974	175	1	11	CARDINAL
ejpam-6974	176	1	11	CARDINAL
ejpam-6974	177	1	1	CARDINAL
ejpam-6974	177	2	7	CARDINAL
ejpam-6974	177	3	1	CARDINAL
ejpam-6974	177	4	1	CARDINAL
ejpam-6974	177	5	1 1	CARDINAL
ejpam-6974	177	6	1	CARDINAL
ejpam-6974	177	7	1	CARDINAL
ejpam-6974	177	8	1	CARDINAL
ejpam-6974	178	1	first	ORDINAL
ejpam-6974	178	2	1	CARDINAL
ejpam-6974	179	1	∗	CARDINAL
ejpam-6974	179	2	1	CARDINAL
ejpam-6974	179	3	1	CARDINAL
ejpam-6974	180	1	only 3	CARDINAL
ejpam-6974	180	2	∗	CARDINAL
ejpam-6974	181	1	11	CARDINAL
ejpam-6974	182	1	4	CARDINAL
ejpam-6974	182	2	bg-algebras	ORG
ejpam-6974	184	1	2	CARDINAL
ejpam-6974	184	2	4	CARDINAL
ejpam-6974	185	1	1	CARDINAL
ejpam-6974	185	2	1	CARDINAL
ejpam-6974	186	1	1	CARDINAL
ejpam-6974	186	2	1	CARDINAL
ejpam-6974	188	1	1	CARDINAL
ejpam-6974	188	2	1	CARDINAL
ejpam-6974	188	3	1	CARDINAL
ejpam-6974	188	4	lemma 2(i	ORG
ejpam-6974	188	5	1 ∗	QUANTITY
ejpam-6974	188	6	1	CARDINAL
ejpam-6974	188	7	1	CARDINAL
ejpam-6974	188	8	dbg2	ORG
ejpam-6974	189	1	1	CARDINAL
ejpam-6974	190	1	1	CARDINAL
ejpam-6974	190	2	1	CARDINAL
ejpam-6974	190	3	1	CARDINAL
ejpam-6974	190	4	1	CARDINAL
ejpam-6974	190	5	1	CARDINAL
ejpam-6974	190	6	1	CARDINAL
ejpam-6974	190	7	1	CARDINAL
ejpam-6974	190	8	1	CARDINAL
ejpam-6974	190	9	lemma 2(i	ORG
ejpam-6974	191	1	1	CARDINAL
ejpam-6974	191	2	x.	EVENT
ejpam-6974	191	3	x∗(y∗z	CARDINAL
ejpam-6974	192	1	1)	DATE
ejpam-6974	192	2	1	CARDINAL
ejpam-6974	193	1	1	CARDINAL
ejpam-6974	194	1	1	CARDINAL
ejpam-6974	195	1	1	CARDINAL
ejpam-6974	195	2	1]	CARDINAL
ejpam-6974	195	3	1	CARDINAL
ejpam-6974	196	1	lemma 2(i	ORG
ejpam-6974	196	2	∗	CARDINAL
ejpam-6974	197	1	1	CARDINAL
ejpam-6974	197	2	1	CARDINAL
ejpam-6974	198	1	∗	CARDINAL
ejpam-6974	199	1	1	CARDINAL
ejpam-6974	199	2	∗ z.	PERSON
ejpam-6974	200	1	∗	CARDINAL
ejpam-6974	200	2	1	CARDINAL
ejpam-6974	200	3	2	CARDINAL
ejpam-6974	200	4	x−1 ∗	PERSON
ejpam-6974	200	5	1	CARDINAL
ejpam-6974	203	1	1	CARDINAL
ejpam-6974	203	2	1	CARDINAL
ejpam-6974	203	3	2	CARDINAL
ejpam-6974	204	1	11	CARDINAL
ejpam-6974	207	1	1	CARDINAL
ejpam-6974	207	2	1	CARDINAL
ejpam-6974	208	1	1	CARDINAL
ejpam-6974	209	1	1	CARDINAL
ejpam-6974	209	2	1	CARDINAL
ejpam-6974	209	3	4	CARDINAL
ejpam-6974	210	1	12	CARDINAL
ejpam-6974	211	1	1	CARDINAL
ejpam-6974	211	2	9	CARDINAL
ejpam-6974	212	1	1	CARDINAL
ejpam-6974	213	1	1	CARDINAL
ejpam-6974	213	2	z. hence	PERSON
ejpam-6974	213	3	1	CARDINAL
ejpam-6974	213	4	4	CARDINAL
ejpam-6974	213	5	c.m. chan	PERSON
ejpam-6974	213	6	k. fuentes	PERSON
ejpam-6974	214	1	j. pure	PERSON
ejpam-6974	214	2	18	CARDINAL
ejpam-6974	214	3	4	CARDINAL
ejpam-6974	214	4	2025	CARDINAL
ejpam-6974	214	5	6974 8	DATE
ejpam-6974	214	6	16	CARDINAL
ejpam-6974	214	7	5	CARDINAL
ejpam-6974	215	1	5	CARDINAL
ejpam-6974	216	1	1	CARDINAL
ejpam-6974	216	2	2	CARDINAL
ejpam-6974	217	1	1	CARDINAL
ejpam-6974	220	1	1	CARDINAL
ejpam-6974	221	1	dbg2	ORG
ejpam-6974	221	2	1	CARDINAL
ejpam-6974	222	1	1	CARDINAL
ejpam-6974	223	1	1)	CARDINAL
ejpam-6974	223	2	1)	CARDINAL
ejpam-6974	223	3	1	CARDINAL
ejpam-6974	223	4	lemma 2(i	ORG
ejpam-6974	223	5	1 ∗	QUANTITY
ejpam-6974	223	6	1	CARDINAL
ejpam-6974	223	7	1	CARDINAL
ejpam-6974	223	8	dbg2	ORG
ejpam-6974	224	1	1	CARDINAL
ejpam-6974	225	1	1	CARDINAL
ejpam-6974	225	2	1	CARDINAL
ejpam-6974	225	3	1	CARDINAL
ejpam-6974	225	4	1	CARDINAL
ejpam-6974	225	5	1	CARDINAL
ejpam-6974	225	6	1	CARDINAL
ejpam-6974	225	7	1	CARDINAL
ejpam-6974	226	1	1	CARDINAL
ejpam-6974	226	2	lemma 2(i	ORG
ejpam-6974	227	1	1	CARDINAL
ejpam-6974	227	2	x.	EVENT
ejpam-6974	228	1	1	CARDINAL
ejpam-6974	228	2	y ∗ z	PERSON
ejpam-6974	229	1	1	CARDINAL
ejpam-6974	230	1	1	CARDINAL
ejpam-6974	232	1	1	CARDINAL
ejpam-6974	232	2	1	CARDINAL
ejpam-6974	233	1	1	CARDINAL
ejpam-6974	234	1	lemma 2(i	ORG
ejpam-6974	234	2	∗	CARDINAL
ejpam-6974	235	1	1	CARDINAL
ejpam-6974	236	1	db3	ORG
ejpam-6974	236	2	1	CARDINAL
ejpam-6974	238	1	1	CARDINAL
ejpam-6974	238	2	1	CARDINAL
ejpam-6974	239	1	1	CARDINAL
ejpam-6974	239	2	1	CARDINAL
ejpam-6974	240	1	∗	CARDINAL
ejpam-6974	241	1	1	CARDINAL
ejpam-6974	241	2	∗ z.	PERSON
ejpam-6974	242	1	∗	CARDINAL
ejpam-6974	242	2	1	CARDINAL
ejpam-6974	242	3	2	CARDINAL
ejpam-6974	242	4	x−1 ∗	PERSON
ejpam-6974	243	1	1	CARDINAL
ejpam-6974	244	1	1	CARDINAL
ejpam-6974	244	2	1	CARDINAL
ejpam-6974	244	3	2	CARDINAL
ejpam-6974	245	1	1	CARDINAL
ejpam-6974	246	1	dbg2	ORG
ejpam-6974	247	1	∗	CARDINAL
ejpam-6974	247	2	1	CARDINAL
ejpam-6974	247	3	x−1 ∗	PERSON
ejpam-6974	248	1	y ∈	PERSON
ejpam-6974	249	1	x−1 ∗	PERSON
ejpam-6974	249	2	x−1 ∗	PERSON
ejpam-6974	250	1	x−1 ∗ y−1	PERSON
ejpam-6974	250	2	∗ z.	PERSON
ejpam-6974	250	3	∗	CARDINAL
ejpam-6974	250	4	1	CARDINAL
ejpam-6974	251	1	1	CARDINAL
ejpam-6974	255	1	∗ 1	DATE
ejpam-6974	256	1	1)−1 ∗	QUANTITY
ejpam-6974	258	1	1	CARDINAL
ejpam-6974	258	2	1	CARDINAL
ejpam-6974	258	3	z. hence	PERSON
ejpam-6974	258	4	db3	ORG
ejpam-6974	258	5	1	CARDINAL
ejpam-6974	259	1	13	CARDINAL
ejpam-6974	260	1	1	CARDINAL
ejpam-6974	260	2	9	CARDINAL
ejpam-6974	261	1	example 12	DATE
ejpam-6974	262	1	1	CARDINAL
ejpam-6974	262	2	5	CARDINAL
ejpam-6974	262	3	1	CARDINAL
ejpam-6974	262	4	1	CARDINAL
ejpam-6974	262	5	1	CARDINAL
ejpam-6974	263	1	5	CARDINAL
ejpam-6974	264	1	bg-algebras	ORG
ejpam-6974	265	1	bg-algebras	ORG
ejpam-6974	266	1	bg-algebras	ORG
ejpam-6974	267	1	6	CARDINAL
ejpam-6974	267	2	1 ∈	QUANTITY
ejpam-6974	270	1	1 1	CARDINAL
ejpam-6974	271	1	1	CARDINAL
ejpam-6974	272	1	at least 3	CARDINAL
ejpam-6974	272	2	1	CARDINAL
ejpam-6974	273	1	c.m. chan	PERSON
ejpam-6974	273	2	k. fuentes	PERSON
ejpam-6974	274	1	j. pure	PERSON
ejpam-6974	274	2	18	CARDINAL
ejpam-6974	274	3	4	CARDINAL
ejpam-6974	274	4	2025	CARDINAL
ejpam-6974	274	5	6974 9	DATE
ejpam-6974	274	6	16	CARDINAL
ejpam-6974	275	1	1	CARDINAL
ejpam-6974	275	2	1	CARDINAL
ejpam-6974	275	3	dbg2	ORG
ejpam-6974	275	4	1	CARDINAL
ejpam-6974	277	1	1	CARDINAL
ejpam-6974	277	2	1	CARDINAL
ejpam-6974	278	1	1	CARDINAL
ejpam-6974	278	2	1	CARDINAL
ejpam-6974	278	3	1	CARDINAL
ejpam-6974	278	4	1	CARDINAL
ejpam-6974	280	1	1	CARDINAL
ejpam-6974	281	1	1	CARDINAL
ejpam-6974	282	1	1	CARDINAL
ejpam-6974	282	2	1	CARDINAL
ejpam-6974	283	1	1	CARDINAL
ejpam-6974	284	1	1	CARDINAL
ejpam-6974	285	1	at least 3	CARDINAL
ejpam-6974	287	1	z.	PERSON
ejpam-6974	287	2	1	CARDINAL
ejpam-6974	287	3	x−1 ∗z	PERSON
ejpam-6974	289	1	1	CARDINAL
ejpam-6974	290	1	6	CARDINAL
ejpam-6974	290	2	at least 3	CARDINAL
ejpam-6974	291	1	only one	CARDINAL
ejpam-6974	291	2	1	CARDINAL
ejpam-6974	291	3	1	CARDINAL
ejpam-6974	292	1	two	CARDINAL
ejpam-6974	292	2	1	CARDINAL
ejpam-6974	292	3	1	CARDINAL
ejpam-6974	292	4	1	CARDINAL
ejpam-6974	292	5	1	CARDINAL
ejpam-6974	292	6	1	CARDINAL
ejpam-6974	292	7	1	CARDINAL
ejpam-6974	292	8	1	CARDINAL
ejpam-6974	293	1	1	CARDINAL
ejpam-6974	294	1	1	CARDINAL
ejpam-6974	295	1	1	CARDINAL
ejpam-6974	295	2	z.	PERSON
ejpam-6974	295	3	1	CARDINAL
ejpam-6974	295	4	4	CARDINAL
ejpam-6974	295	5	only 1 or	CARDINAL
ejpam-6974	295	6	2	CARDINAL
ejpam-6974	296	1	14	CARDINAL
ejpam-6974	297	1	1	CARDINAL
ejpam-6974	297	2	1	CARDINAL
ejpam-6974	297	3	2	CARDINAL
ejpam-6974	297	4	1	CARDINAL
ejpam-6974	297	5	3	CARDINAL
ejpam-6974	297	6	1	CARDINAL
ejpam-6974	297	7	1	CARDINAL
ejpam-6974	297	8	1	CARDINAL
ejpam-6974	298	1	1	CARDINAL
ejpam-6974	298	2	2	CARDINAL
ejpam-6974	298	3	3	CARDINAL
ejpam-6974	298	4	8	CARDINAL
ejpam-6974	298	5	8	CARDINAL
ejpam-6974	298	6	1 1	CARDINAL
ejpam-6974	298	7	1	CARDINAL
ejpam-6974	298	8	1	CARDINAL
ejpam-6974	298	9	1	CARDINAL
ejpam-6974	299	1	1	CARDINAL
ejpam-6974	299	2	1	CARDINAL
ejpam-6974	299	3	1	CARDINAL
ejpam-6974	299	4	1	CARDINAL
ejpam-6974	299	5	1	CARDINAL
ejpam-6974	299	6	1	CARDINAL
ejpam-6974	299	7	bg-algebras	ORG
ejpam-6974	299	8	6	CARDINAL
ejpam-6974	299	9	14	CARDINAL
ejpam-6974	299	10	bg-algebras	ORG
ejpam-6974	299	11	6	CARDINAL
ejpam-6974	299	12	4	CARDINAL
ejpam-6974	303	1	bg-algebras	ORG
ejpam-6974	304	1	bg-algebras	ORG
ejpam-6974	305	1	c.m. chan	PERSON
ejpam-6974	305	2	k. fuentes	PERSON
ejpam-6974	306	1	j. pure	PERSON
ejpam-6974	306	2	18	CARDINAL
ejpam-6974	306	3	4	CARDINAL
ejpam-6974	306	4	2025	CARDINAL
ejpam-6974	306	5	6974 10	DATE
ejpam-6974	306	6	16 5	CARDINAL
ejpam-6974	306	7	one	CARDINAL
ejpam-6974	307	1	algebras	ORG
ejpam-6974	309	1	1	CARDINAL
ejpam-6974	311	1	the japan academy	ORG
ejpam-6974	311	2	42(1):19–22, 1966	GPE
ejpam-6974	312	1	2	CARDINAL
ejpam-6974	312	2	x li	PERSON
ejpam-6974	312	3	bch	GPE
ejpam-6974	313	1	kobe university	ORG
ejpam-6974	313	2	11(2):313–320, 1983	DATE
ejpam-6974	314	1	3	CARDINAL
ejpam-6974	314	2	x li	PERSON
ejpam-6974	314	3	bch	GPE
ejpam-6974	315	1	mathematica japonica	PERSON
ejpam-6974	315	2	1985	DATE
ejpam-6974	316	1	4	CARDINAL
ejpam-6974	316	2	roh	PERSON
ejpam-6974	316	3	h s kim.	ORG
ejpam-6974	317	1	bh-algebras	ORG
ejpam-6974	318	1	scientiae mathematicae	PERSON
ejpam-6974	318	2	1(3):347–354	CARDINAL
ejpam-6974	318	3	1998	DATE
ejpam-6974	319	1	5	CARDINAL
ejpam-6974	319	2	h s kim.	ORG
ejpam-6974	321	1	mathematica slovaca	PERSON
ejpam-6974	321	2	1999	DATE
ejpam-6974	322	1	6	CARDINAL
ejpam-6974	322	2	h s kim.	ORG
ejpam-6974	324	1	matematički	PERSON
ejpam-6974	324	2	54(1-2):21–29	CARDINAL
ejpam-6974	325	1	kim	PERSON
ejpam-6974	325	2	h s kim	PERSON
ejpam-6974	326	1	bg-algebras	ORG
ejpam-6974	326	2	demonstratio mathematica	PERSON
ejpam-6974	326	3	41(3):497–506, 2008	DATE
ejpam-6974	327	1	8	CARDINAL
ejpam-6974	327	2	k h kim	PERSON
ejpam-6974	327	3	y h yon.	PERSON
ejpam-6974	329	1	scientiae mathematicae	PERSON
ejpam-6974	329	2	66(2):393–399	CARDINAL
ejpam-6974	329	3	2007	DATE
ejpam-6974	330	1	9	CARDINAL
ejpam-6974	330	2	y h kim	PERSON
ejpam-6974	332	1	scientiae mathematicae japonicae	PERSON
ejpam-6974	332	2	66(1):113–116, 2007	DATE
ejpam-6974	333	1	10	CARDINAL
ejpam-6974	335	1	scientiae mathematicae japonicae	PERSON
ejpam-6974	335	2	69(2):281–284	ORG
ejpam-6974	335	3	2009	DATE
ejpam-6974	336	1	11	CARDINAL
ejpam-6974	336	2	l meng	PERSON
ejpam-6974	337	1	ci-algebras	PERSON
ejpam-6974	338	1	scientiae mathematicae japonicae	PERSON
ejpam-6974	338	2	2010	DATE
ejpam-6974	339	1	12	CARDINAL
ejpam-6974	341	1	egyptian	NORP
ejpam-6974	341	2	21(1):1–2	DATE
ejpam-6974	341	3	2013	DATE
ejpam-6974	342	1	13	CARDINAL
ejpam-6974	342	2	j vilela	PERSON
ejpam-6974	344	1	european journal	ORG
ejpam-6974	344	2	12(4):1497–1507,	DATE
ejpam-6974	344	3	2019	DATE
ejpam-6974	345	1	14	CARDINAL
ejpam-6974	347	1	3rd	ORDINAL
ejpam-6974	347	2	2012	DATE
ejpam-6974	348	1	c.m. chan	PERSON
ejpam-6974	348	2	k. fuentes	PERSON
ejpam-6974	349	1	j. pure	PERSON
ejpam-6974	349	2	18	CARDINAL
ejpam-6974	349	3	4	CARDINAL
ejpam-6974	349	4	2025	CARDINAL
ejpam-6974	349	5	6974 11	DATE
ejpam-6974	349	6	16	CARDINAL
ejpam-6974	350	1	3	CARDINAL
ejpam-6974	351	1	# x	MONEY
ejpam-6974	352	1	1	CARDINAL
ejpam-6974	352	2	range(shp	GPE
ejpam-6974	352	3	ctr	GPE
ejpam-6974	353	1	1	CARDINAL
ejpam-6974	356	1	x[i	ORG
ejpam-6974	358	1	x[i	ORG
ejpam-6974	359	1	dbg1	ORG
ejpam-6974	359	2	1	MONEY
ejpam-6974	360	1	chan	ORG
ejpam-6974	360	2	k. fuentes	PERSON
ejpam-6974	361	1	j. pure	PERSON
ejpam-6974	361	2	18	CARDINAL
ejpam-6974	361	3	4	CARDINAL
ejpam-6974	361	4	2025	CARDINAL
ejpam-6974	361	5	6974 12	DATE
ejpam-6974	361	6	16	CARDINAL
ejpam-6974	363	1	range(shp	GPE
ejpam-6974	363	2	ctr	GPE
ejpam-6974	363	3	1	CARDINAL
ejpam-6974	365	1	x[i	ORG
ejpam-6974	367	1	x[i	ORG
ejpam-6974	368	1	dbg2	ORG
ejpam-6974	368	2	dbg3(x	ORG
ejpam-6974	368	3	#	CARDINAL
ejpam-6974	368	4	o 1	DATE
ejpam-6974	369	1	chan	ORG
ejpam-6974	369	2	k. fuentes	PERSON
ejpam-6974	370	1	j. pure	PERSON
ejpam-6974	370	2	18	CARDINAL
ejpam-6974	370	3	4	CARDINAL
ejpam-6974	370	4	2025	CARDINAL
ejpam-6974	370	5	6974 13	DATE
ejpam-6974	370	6	16	CARDINAL
ejpam-6974	372	1	j in range(shp	WORK_OF_ART
ejpam-6974	372	2	ctr	GPE
ejpam-6974	372	3	1 y_0	CARDINAL
ejpam-6974	374	1	x[i	ORG
ejpam-6974	374	2	o	DATE
ejpam-6974	374	3	x[i	ORG
ejpam-6974	374	4	\t{y_0	LANGUAGE
ejpam-6974	375	1	x[i	ORG
ejpam-6974	376	1	o	DATE
ejpam-6974	376	2	x[i	ORG
ejpam-6974	376	3	\t{y_0	LANGUAGE
ejpam-6974	378	1	o	DATE
ejpam-6974	379	1	dbg(x	NORP
ejpam-6974	379	2	chan	ORG
ejpam-6974	379	3	k. fuentes	PERSON
ejpam-6974	380	1	j. pure	PERSON
ejpam-6974	380	2	18	CARDINAL
ejpam-6974	380	3	4	CARDINAL
ejpam-6974	380	4	2025	CARDINAL
ejpam-6974	380	5	6974 14	DATE
ejpam-6974	380	6	16	CARDINAL
ejpam-6974	380	7	dbg2	ORG
ejpam-6974	380	8	\n	ORG
ejpam-6974	382	1	o	DATE
ejpam-6974	383	1	dbg1, dbg2	ORG
ejpam-6974	384	1	dbg_flag c.m. chan	PERSON
ejpam-6974	384	2	k. fuentes	PERSON
ejpam-6974	385	1	j. pure	PERSON
ejpam-6974	385	2	18	CARDINAL
ejpam-6974	385	3	4	CARDINAL
ejpam-6974	385	4	2025	CARDINAL
ejpam-6974	385	5	6974 15	DATE
ejpam-6974	385	6	16	CARDINAL
ejpam-6974	385	7	chan	ORG
ejpam-6974	385	8	k. fuentes	PERSON
ejpam-6974	386	1	j. pure	PERSON
ejpam-6974	386	2	18	CARDINAL
ejpam-6974	386	3	4	CARDINAL
ejpam-6974	386	4	2025	CARDINAL
ejpam-6974	386	5	6974 16	DATE
ejpam-6974	386	6	16 dbg3	QUANTITY
ejpam-6974	386	7	3	CARDINAL