id	sid	eid	entity	type
ejpam-6501	1	1	european journal	ORG
ejpam-6501	1	2	2025	DATE
ejpam-6501	1	3	18	CARDINAL
ejpam-6501	1	4	4	CARDINAL
ejpam-6501	1	5	6501	CARDINAL
ejpam-6501	1	6	1307-5543	DATE
ejpam-6501	1	7	new york	GPE
ejpam-6501	1	8	maliwan	PERSON
ejpam-6501	1	9	phattarachaleekul department	ORG
ejpam-6501	1	10	science, mahasarakham university	ORG
ejpam-6501	1	11	thailand	GPE
ejpam-6501	2	1	∗	CARDINAL
ejpam-6501	5	1	⊙	ORG
ejpam-6501	6	1	⊙	ORG
ejpam-6501	8	1	∈ x	QUANTITY
ejpam-6501	9	1	2020	DATE
ejpam-6501	9	2	06f35	CARDINAL
ejpam-6501	9	3	03g25	CARDINAL
ejpam-6501	10	1	algebraic systems	ORG
ejpam-6501	14	1	algebraic systems	ORG
ejpam-6501	15	1	algebraic structures	ORG
ejpam-6501	15	2	quotient algebras	ORG
ejpam-6501	16	1	2002	DATE
ejpam-6501	16	2	j. neggers	PERSON
ejpam-6501	16	3	h. s. kim	PERSON
ejpam-6501	17	1	1	CARDINAL
ejpam-6501	18	1	one	CARDINAL
ejpam-6501	18	2	2017	CARDINAL
ejpam-6501	18	3	2	CARDINAL
ejpam-6501	18	4	kaviyarasu	PERSON
ejpam-6501	20	1	m. phattarachaleekul	PERSON
ejpam-6501	20	2	1	CARDINAL
ejpam-6501	20	3	2025	CARDINAL
ejpam-6501	21	1	m. phattarachaleekul	PERSON
ejpam-6501	22	1	j. pure	PERSON
ejpam-6501	22	2	18	CARDINAL
ejpam-6501	22	3	4	CARDINAL
ejpam-6501	22	4	2025	CARDINAL
ejpam-6501	22	5	6501 2	CARDINAL
ejpam-6501	22	6	8	CARDINAL
ejpam-6501	26	1	∗	CARDINAL
ejpam-6501	26	2	ofx	ORG
ejpam-6501	26	3	onx	GPE
ejpam-6501	30	1	algebraic systems	ORG
ejpam-6501	33	1	section 2	LAW
ejpam-6501	34	1	section 3	LAW
ejpam-6501	35	1	section 4 explores	LAW
ejpam-6501	36	1	2	CARDINAL
ejpam-6501	36	2	first	ORDINAL
ejpam-6501	37	1	∗	CARDINAL
ejpam-6501	38	1	1	CARDINAL
ejpam-6501	39	1	2	CARDINAL
ejpam-6501	39	2	∗	CARDINAL
ejpam-6501	40	1	0	CARDINAL
ejpam-6501	42	1	0	CARDINAL
ejpam-6501	42	2	be3	ORG
ejpam-6501	42	3	0 ∗	QUANTITY
ejpam-6501	44	1	∗	CARDINAL
ejpam-6501	45	1	y ∗	PERSON
ejpam-6501	45	2	2	CARDINAL
ejpam-6501	46	1	3	CARDINAL
ejpam-6501	46	2	∗	CARDINAL
ejpam-6501	47	1	∗	CARDINAL
ejpam-6501	47	2	0	CARDINAL
ejpam-6501	47	3	∗	CARDINAL
ejpam-6501	47	4	0	CARDINAL
ejpam-6501	48	1	m. phattarachaleekul	PERSON
ejpam-6501	49	1	j. pure	PERSON
ejpam-6501	49	2	18	CARDINAL
ejpam-6501	49	3	4	CARDINAL
ejpam-6501	49	4	2025	CARDINAL
ejpam-6501	49	5	6501 3	DATE
ejpam-6501	51	1	0	CARDINAL
ejpam-6501	52	1	1	CARDINAL
ejpam-6501	53	1	4	CARDINAL
ejpam-6501	53	2	0	CARDINAL
ejpam-6501	53	3	1	DATE
ejpam-6501	53	4	2	DATE
ejpam-6501	53	5	3	CARDINAL
ejpam-6501	54	1	0	CARDINAL
ejpam-6501	54	2	∗	CARDINAL
ejpam-6501	54	3	2	CARDINAL
ejpam-6501	55	1	2	CARDINAL
ejpam-6501	56	1	5	CARDINAL
ejpam-6501	56	2	1	CARDINAL
ejpam-6501	57	1	1 1	CARDINAL
ejpam-6501	57	2	1	CARDINAL
ejpam-6501	57	3	1 1	CARDINAL
ejpam-6501	57	4	1	CARDINAL
ejpam-6501	57	5	∗	CARDINAL
ejpam-6501	57	6	1 ̸= a.	CARDINAL
ejpam-6501	57	7	3	CARDINAL
ejpam-6501	58	1	3	CARDINAL
ejpam-6501	58	2	∗	CARDINAL
ejpam-6501	59	1	nonempty	ORG
ejpam-6501	64	1	1	CARDINAL
ejpam-6501	65	1	2	CARDINAL
ejpam-6501	65	2	∗	CARDINAL
ejpam-6501	67	1	0	CARDINAL
ejpam-6501	68	1	0 ∗ x	QUANTITY
ejpam-6501	68	2	m. phattarachaleekul	PERSON
ejpam-6501	69	1	j. pure	PERSON
ejpam-6501	69	2	18	CARDINAL
ejpam-6501	69	3	4	CARDINAL
ejpam-6501	69	4	2025	CARDINAL
ejpam-6501	69	5	6501 4	DATE
ejpam-6501	70	1	0	CARDINAL
ejpam-6501	70	2	∗	CARDINAL
ejpam-6501	70	3	3	CARDINAL
ejpam-6501	70	4	algebraic structures	ORG
ejpam-6501	72	1	4	CARDINAL
ejpam-6501	75	1	∗	CARDINAL
ejpam-6501	75	2	y ∈	PERSON
ejpam-6501	77	1	x.	ORG
ejpam-6501	77	2	3	CARDINAL
ejpam-6501	78	1	3	CARDINAL
ejpam-6501	78	2	0	CARDINAL
ejpam-6501	78	3	1	DATE
ejpam-6501	78	4	0 1	CARDINAL
ejpam-6501	78	5	0	CARDINAL
ejpam-6501	79	1	1 0	DATE
ejpam-6501	79	2	∗	CARDINAL
ejpam-6501	80	1	0	CARDINAL
ejpam-6501	80	2	x.	GPE
ejpam-6501	80	3	2	CARDINAL
ejpam-6501	81	1	∗	CARDINAL
ejpam-6501	82	1	x.	GPE
ejpam-6501	90	1	m. phattarachaleekul	PERSON
ejpam-6501	91	1	j. pure	PERSON
ejpam-6501	91	2	18	CARDINAL
ejpam-6501	91	3	4	CARDINAL
ejpam-6501	91	4	2025	CARDINAL
ejpam-6501	91	5	6501 5	DATE
ejpam-6501	91	6	8	CARDINAL
ejpam-6501	91	7	∗	CARDINAL
ejpam-6501	93	1	∗	CARDINAL
ejpam-6501	93	2	i.	PERSON
ejpam-6501	93	3	∗	CARDINAL
ejpam-6501	96	1	∈	ORG
ejpam-6501	96	2	y∗w	ORG
ejpam-6501	96	3	∈	PRODUCT
ejpam-6501	97	1	x∗z ∈	PERSON
ejpam-6501	97	2	z∗x	PERSON
ejpam-6501	97	3	i.	PERSON
ejpam-6501	104	1	∗	CARDINAL
ejpam-6501	105	1	1(iv	CARDINAL
ejpam-6501	105	2	y ∗ z	PERSON
ejpam-6501	105	3	∗	CARDINAL
ejpam-6501	105	4	y ∗ z	PERSON
ejpam-6501	106	1	y ∗ z	PERSON
ejpam-6501	107	1	1	CARDINAL
ejpam-6501	108	1	∗	CARDINAL
ejpam-6501	108	2	x.	GPE
ejpam-6501	119	1	⊆	CARDINAL
ejpam-6501	120	1	simmilary	PERSON
ejpam-6501	125	1	3	CARDINAL
ejpam-6501	125	2	∗	CARDINAL
ejpam-6501	125	3	x.	GPE
ejpam-6501	131	1	[y]i	PERSON
ejpam-6501	134	1	⊆	CARDINAL
ejpam-6501	134	2	⋃	PERSON
ejpam-6501	136	1	⊆	CARDINAL
ejpam-6501	136	2	x∈x	DATE
ejpam-6501	138	1	x.	ORG
ejpam-6501	139	1	4	CARDINAL
ejpam-6501	139	2	3	CARDINAL
ejpam-6501	139	3	0	CARDINAL
ejpam-6501	139	4	0	CARDINAL
ejpam-6501	139	5	0	DATE
ejpam-6501	139	6	1	CARDINAL
ejpam-6501	139	7	1	CARDINAL
ejpam-6501	139	8	0	CARDINAL
ejpam-6501	139	9	1	CARDINAL
ejpam-6501	139	10	1	CARDINAL
ejpam-6501	140	1	0	CARDINAL
ejpam-6501	141	1	1	CARDINAL
ejpam-6501	142	1	0]i	DATE
ejpam-6501	142	2	x. m. phattarachaleekul	PERSON
ejpam-6501	143	1	j. pure	PERSON
ejpam-6501	143	2	18	CARDINAL
ejpam-6501	143	3	4	CARDINAL
ejpam-6501	143	4	2025	CARDINAL
ejpam-6501	143	5	6501 6	DATE
ejpam-6501	145	1	5	CARDINAL
ejpam-6501	146	1	∗	CARDINAL
ejpam-6501	147	1	nonempty	ORG
ejpam-6501	147	2	4	CARDINAL
ejpam-6501	150	1	∗	CARDINAL
ejpam-6501	150	2	y ∈ n	PERSON
ejpam-6501	153	1	y ∈ n	PERSON
ejpam-6501	155	1	4	CARDINAL
ejpam-6501	156	1	5	CARDINAL
ejpam-6501	157	1	3	CARDINAL
ejpam-6501	157	2	0	CARDINAL
ejpam-6501	157	3	1 ∗	QUANTITY
ejpam-6501	157	4	∈	ORG
ejpam-6501	159	1	1 ∗	CARDINAL
ejpam-6501	159	2	∗	CARDINAL
ejpam-6501	161	1	0	CARDINAL
ejpam-6501	161	2	1	CARDINAL
ejpam-6501	162	1	2	CARDINAL
ejpam-6501	163	1	∗	CARDINAL
ejpam-6501	163	2	∈	ORG
ejpam-6501	164	1	∈	ORG
ejpam-6501	165	1	∈	ORG
ejpam-6501	165	2	0	CARDINAL
ejpam-6501	166	1	0 ∗ x	QUANTITY
ejpam-6501	166	2	0 ∗ x	QUANTITY
ejpam-6501	167	1	s. lemma 3	PERSON
ejpam-6501	168	1	∗	CARDINAL
ejpam-6501	169	1	0 ∗	CARDINAL
ejpam-6501	169	2	∈	ORG
ejpam-6501	172	1	0 ∗	QUANTITY
ejpam-6501	172	2	∗	CARDINAL
ejpam-6501	172	3	i.	PERSON
ejpam-6501	172	4	6	DATE
ejpam-6501	173	1	∗	CARDINAL
ejpam-6501	176	1	⊙	ORG
ejpam-6501	176	2	⊙	ORG
ejpam-6501	177	1	i.	PERSON
ejpam-6501	177	2	2	CARDINAL
ejpam-6501	177	3	5	CARDINAL
ejpam-6501	178	1	∗	CARDINAL
ejpam-6501	180	1	⊙	ORG
ejpam-6501	182	1	b]n	ORG
ejpam-6501	183	1	∈ x/n	QUANTITY
ejpam-6501	188	1	y]n	PERSON
ejpam-6501	188	2	m. phattarachaleekul	PERSON
ejpam-6501	189	1	j. pure	PERSON
ejpam-6501	189	2	18	CARDINAL
ejpam-6501	189	3	4	CARDINAL
ejpam-6501	189	4	2025	CARDINAL
ejpam-6501	189	5	6501 7	DATE
ejpam-6501	189	6	∗	CARDINAL
ejpam-6501	190	1	⊙	PRODUCT
ejpam-6501	191	1	b]n	ORG
ejpam-6501	192	1	⊙	ORG
ejpam-6501	193	1	1	CARDINAL
ejpam-6501	194	1	⊙	ORG
ejpam-6501	195	1	y]n	PERSON
ejpam-6501	195	2	⊙	ORG
ejpam-6501	195	3	⊙	FAC
ejpam-6501	196	1	z]n	GPE
ejpam-6501	196	2	⊙	ORG
ejpam-6501	198	1	⊙	ORG
ejpam-6501	199	1	⊙	ORG
ejpam-6501	204	1	∗	CARDINAL
ejpam-6501	205	1	2	CARDINAL
ejpam-6501	206	1	⊙	FAC
ejpam-6501	207	1	z]n	GPE
ejpam-6501	207	2	⊙	ORG
ejpam-6501	208	1	⊙	FAC
ejpam-6501	209	1	z]n	GPE
ejpam-6501	209	2	⊙	ORG
ejpam-6501	211	1	⊙	ORG
ejpam-6501	212	1	⊙	ORG
ejpam-6501	214	1	∗	CARDINAL
ejpam-6501	217	1	∗	CARDINAL
ejpam-6501	218	1	3	CARDINAL
ejpam-6501	219	1	⊙	ORG
ejpam-6501	222	1	4	CARDINAL
ejpam-6501	222	2	⊙	ORG
ejpam-6501	225	1	x∗y	DATE
ejpam-6501	226	1	5	CARDINAL
ejpam-6501	229	1	∗	CARDINAL
ejpam-6501	231	1	x.	GPE
ejpam-6501	236	1	thailand science	ORG
ejpam-6501	238	1	m. phattarachaleekul	PERSON
ejpam-6501	239	1	j. pure	PERSON
ejpam-6501	239	2	18	CARDINAL
ejpam-6501	239	3	4	CARDINAL
ejpam-6501	239	4	2025	CARDINAL
ejpam-6501	239	5	6501 8	DATE
ejpam-6501	239	6	8	CARDINAL
ejpam-6501	239	7	1	CARDINAL
ejpam-6501	239	8	j. neggers	PERSON
ejpam-6501	239	9	h. s. kim	PERSON
ejpam-6501	241	1	54:21–29, 2002	DATE
ejpam-6501	242	1	2	CARDINAL
ejpam-6501	242	2	m. kaviyarasu	PERSON
ejpam-6501	242	3	k. indhira	PERSON
ejpam-6501	242	4	m. chandrasekaran	PERSON
ejpam-6501	244	1	115(9):1–10	CARDINAL
ejpam-6501	244	2	2017	DATE
ejpam-6501	245	1	3	CARDINAL
ejpam-6501	245	2	m. kaviyarasu	PERSON
ejpam-6501	245	3	k. indhira	PERSON
ejpam-6501	245	4	m. chandrasekaran	PERSON
ejpam-6501	247	1	xi’an university of architecture	ORG
ejpam-6501	247	2	12(3):4746–4752, 2020	DATE
ejpam-6501	248	1	4	CARDINAL
ejpam-6501	248	2	m. kaviyarasu	PERSON
ejpam-6501	248	3	k. indhira	PERSON
ejpam-6501	248	4	m. chandrasekaran	PERSON
ejpam-6501	249	1	neutrosophic	ORG
ejpam-6501	250	1	9(7):4345–4352	CARDINAL
ejpam-6501	250	2	2020	DATE
ejpam-6501	251	1	5	CARDINAL
ejpam-6501	251	2	y. h. yon	PERSON
ejpam-6501	251	3	s. m. lee	PERSON
ejpam-6501	251	4	k. h. kim	PERSON
ejpam-6501	253	1	46(5):2263–2270, 2010	DATE