id	sid	eid	entity	type
ejpam-6259	1	1	european journal	ORG
ejpam-6259	1	2	2025	DATE
ejpam-6259	1	3	18	CARDINAL
ejpam-6259	1	4	3	CARDINAL
ejpam-6259	1	5	6259	CARDINAL
ejpam-6259	1	6	1307-5543	DATE
ejpam-6259	1	7	new york	GPE
ejpam-6259	1	8	1	CARDINAL
ejpam-6259	1	9	90110	DATE
ejpam-6259	1	10	thailand 2	ORG
ejpam-6259	1	11	90000	CARDINAL
ejpam-6259	1	12	thailand	GPE
ejpam-6259	3	1	3	CARDINAL
ejpam-6259	6	1	2020	DATE
ejpam-6259	6	2	20n15	CARDINAL
ejpam-6259	6	3	03e72	CARDINAL
ejpam-6259	7	1	1	CARDINAL
ejpam-6259	8	1	0	CARDINAL
ejpam-6259	8	2	1	CARDINAL
ejpam-6259	10	1	1	CARDINAL
ejpam-6259	10	2	1965	DATE
ejpam-6259	11	1	zadeh	ORG
ejpam-6259	13	1	first	ORDINAL
ejpam-6259	13	2	2	CARDINAL
ejpam-6259	13	3	1904	DATE
ejpam-6259	15	1	3	CARDINAL
ejpam-6259	16	1	n-ary semigroups	ORG
ejpam-6259	18	1	r. chinram	PERSON
ejpam-6259	19	1	1	CARDINAL
ejpam-6259	19	2	2025	CARDINAL
ejpam-6259	20	1	r. chinram	PERSON
ejpam-6259	21	1	j. pure	PERSON
ejpam-6259	21	2	18	CARDINAL
ejpam-6259	21	3	3	CARDINAL
ejpam-6259	21	4	2025	CARDINAL
ejpam-6259	21	5	6259 2	DATE
ejpam-6259	21	6	10	CARDINAL
ejpam-6259	22	1	n ≥ 3	DATE
ejpam-6259	23	1	3	CARDINAL
ejpam-6259	24	1	2018	DATE
ejpam-6259	25	1	4	CARDINAL
ejpam-6259	26	1	the next year	DATE
ejpam-6259	26	2	5	CARDINAL
ejpam-6259	27	1	2020	DATE
ejpam-6259	27	2	somsup	GPE
ejpam-6259	27	3	6	CARDINAL
ejpam-6259	30	1	the same year	DATE
ejpam-6259	30	2	8	CARDINAL
ejpam-6259	31	1	2023	CARDINAL
ejpam-6259	31	2	9	CARDINAL
ejpam-6259	32	1	first	ORDINAL
ejpam-6259	33	1	10	CARDINAL
ejpam-6259	33	2	1980	DATE
ejpam-6259	35	1	11	CARDINAL
ejpam-6259	37	1	12	CARDINAL
ejpam-6259	37	2	13	CARDINAL
ejpam-6259	39	1	14	CARDINAL
ejpam-6259	40	1	15	CARDINAL
ejpam-6259	40	2	16	CARDINAL
ejpam-6259	40	3	17	CARDINAL
ejpam-6259	41	1	14	CARDINAL
ejpam-6259	41	2	15	CARDINAL
ejpam-6259	42	1	section 2	LAW
ejpam-6259	43	1	section 3	LAW
ejpam-6259	46	1	2	CARDINAL
ejpam-6259	47	1	2.1	CARDINAL
ejpam-6259	47	2	3	CARDINAL
ejpam-6259	47	3	18	CARDINAL
ejpam-6259	48	1	first	ORDINAL
ejpam-6259	48	2	n ≥ 2	ORG
ejpam-6259	49	1	n-ary groupoid	ORG
ejpam-6259	52	1	aj	PERSON
ejpam-6259	55	1	ai+t	ORG
ejpam-6259	56	1	r. chinram	PERSON
ejpam-6259	57	1	j. pure	PERSON
ejpam-6259	57	2	18	CARDINAL
ejpam-6259	57	3	3	CARDINAL
ejpam-6259	57	4	2025	CARDINAL
ejpam-6259	57	5	6259 3	DATE
ejpam-6259	57	6	10	CARDINAL
ejpam-6259	66	1	n-ary groupoid	ORG
ejpam-6259	66	2	1	CARDINAL
ejpam-6259	67	1	f(aj−1 1	DATE
ejpam-6259	69	1	∈	ORG
ejpam-6259	71	1	nonempty	ORG
ejpam-6259	74	1	∈	ORG
ejpam-6259	76	1	sn	ORG
ejpam-6259	76	2	1	CARDINAL
ejpam-6259	78	1	∈	ORG
ejpam-6259	78	2	1	CARDINAL
ejpam-6259	78	3	2	DATE
ejpam-6259	81	1	sn 2	ORG
ejpam-6259	81	2	2	CARDINAL
ejpam-6259	81	3	2	CARDINAL
ejpam-6259	84	1	∈	ORG
ejpam-6259	84	2	f(an	ORG
ejpam-6259	86	1	∈	ORG
ejpam-6259	87	1	2.2	CARDINAL
ejpam-6259	88	1	0	CARDINAL
ejpam-6259	88	2	1	CARDINAL
ejpam-6259	89	1	19	CARDINAL
ejpam-6259	90	1	two	CARDINAL
ejpam-6259	90	2	a. 1	ORG
ejpam-6259	91	1	g and h	ORG
ejpam-6259	91	2	g ∩ h	ORG
ejpam-6259	91	3	g ∩ h)(a	PERSON
ejpam-6259	91	4	∈ a. 2	DATE
ejpam-6259	92	1	g∪h	ORG
ejpam-6259	92	2	∈ a. 3	DATE
ejpam-6259	93	1	⊆	CARDINAL
ejpam-6259	95	1	1	CARDINAL
ejpam-6259	95	2	0	CARDINAL
ejpam-6259	96	1	j. pure	PERSON
ejpam-6259	96	2	18	CARDINAL
ejpam-6259	96	3	3	CARDINAL
ejpam-6259	96	4	2025	CARDINAL
ejpam-6259	96	5	6259 4	DATE
ejpam-6259	100	1	∈	ORG
ejpam-6259	100	2	f(gn1	GPE
ejpam-6259	101	1	gn)(a	PRODUCT
ejpam-6259	104	1	0	CARDINAL
ejpam-6259	104	2	g1	ORG
ejpam-6259	105	1	gn ∈ f(a	PERSON
ejpam-6259	105	2	∈	ORG
ejpam-6259	105	3	1	CARDINAL
ejpam-6259	106	1	⊆	CARDINAL
ejpam-6259	106	2	3	CARDINAL
ejpam-6259	106	3	3.1	CARDINAL
ejpam-6259	108	1	1	CARDINAL
ejpam-6259	109	1	nonempty	ORG
ejpam-6259	109	2	a. example	PERSON
ejpam-6259	110	1	1	CARDINAL
ejpam-6259	111	1	2	CARDINAL
ejpam-6259	111	2	2n	CARDINAL
ejpam-6259	111	3	2n	CARDINAL
ejpam-6259	111	4	2n2	CARDINAL
ejpam-6259	112	1	2n	CARDINAL
ejpam-6259	112	2	1	CARDINAL
ejpam-6259	113	1	1	CARDINAL
ejpam-6259	113	2	a.	PERSON
ejpam-6259	113	3	2	CARDINAL
ejpam-6259	113	4	a. theorem 1	ORG
ejpam-6259	114	1	⊆	CARDINAL
ejpam-6259	114	2	a. proof	PERSON
ejpam-6259	115	1	⊆	CARDINAL
ejpam-6259	116	1	f(sn)∩s ̸=	ORG
ejpam-6259	116	2	⊆	CARDINAL
ejpam-6259	116	3	f(sn)∩s ⊆	CARDINAL
ejpam-6259	117	1	1	CARDINAL
ejpam-6259	117	2	r. chinram	PERSON
ejpam-6259	118	1	j. pure	PERSON
ejpam-6259	118	2	18	CARDINAL
ejpam-6259	118	3	3	CARDINAL
ejpam-6259	118	4	2025	CARDINAL
ejpam-6259	118	5	6259 5	DATE
ejpam-6259	118	6	10	CARDINAL
ejpam-6259	119	1	f(an	ORG
ejpam-6259	120	1	2	CARDINAL
ejpam-6259	120	2	1	CARDINAL
ejpam-6259	120	3	a.	PERSON
ejpam-6259	120	4	2	CARDINAL
ejpam-6259	120	5	f(an	ORG
ejpam-6259	120	6	a. 3.2	PERSON
ejpam-6259	122	1	zero	CARDINAL
ejpam-6259	123	1	∈	ORG
ejpam-6259	124	1	2	CARDINAL
ejpam-6259	126	1	zero	CARDINAL
ejpam-6259	126	2	zero	CARDINAL
ejpam-6259	126	3	a.	PERSON
ejpam-6259	126	4	1	CARDINAL
ejpam-6259	126	5	⊆	CARDINAL
ejpam-6259	126	6	f(gn	ORG
ejpam-6259	127	1	∈	ORG
ejpam-6259	131	1	a.	PERSON
ejpam-6259	131	2	a.	PERSON
ejpam-6259	131	3	2	CARDINAL
ejpam-6259	133	1	0.5	CARDINAL
ejpam-6259	133	2	2	CARDINAL
ejpam-6259	133	3	2n	CARDINAL
ejpam-6259	133	4	0	CARDINAL
ejpam-6259	133	5	h(a	ORG
ejpam-6259	134	1	0.4	CARDINAL
ejpam-6259	134	2	2n	CARDINAL
ejpam-6259	134	3	2n 2	CARDINAL
ejpam-6259	134	4	0	CARDINAL
ejpam-6259	135	1	g ∩ h	ORG
ejpam-6259	135	2	2	CARDINAL
ejpam-6259	136	1	1	CARDINAL
ejpam-6259	136	2	a. r. chinram	PERSON
ejpam-6259	137	1	j. pure	PERSON
ejpam-6259	137	2	18	CARDINAL
ejpam-6259	137	3	3	CARDINAL
ejpam-6259	137	4	2025	CARDINAL
ejpam-6259	137	5	6259 6	DATE
ejpam-6259	137	6	10	CARDINAL
ejpam-6259	137	7	2	CARDINAL
ejpam-6259	137	8	a. theorem 2	ORG
ejpam-6259	138	1	⊆	CARDINAL
ejpam-6259	138	2	a. proof	PERSON
ejpam-6259	140	1	⊆	CARDINAL
ejpam-6259	140	2	f(gn	ORG
ejpam-6259	140	3	⊆	CARDINAL
ejpam-6259	142	1	2	CARDINAL
ejpam-6259	143	1	2	CARDINAL
ejpam-6259	144	1	a. 3.3	PERSON
ejpam-6259	146	1	3	CARDINAL
ejpam-6259	148	1	a. proof	PERSON
ejpam-6259	149	1	a.	PERSON
ejpam-6259	149	2	∈	ORG
ejpam-6259	151	1	∈	ORG
ejpam-6259	151	2	∈	ORG
ejpam-6259	152	1	n)(a	GPE
ejpam-6259	153	1	1	CARDINAL
ejpam-6259	154	1	1	CARDINAL
ejpam-6259	154	2	1	CARDINAL
ejpam-6259	156	1	a. conversely	PERSON
ejpam-6259	158	1	n)(a	GPE
ejpam-6259	160	1	n)(a	GPE
ejpam-6259	161	1	1	CARDINAL
ejpam-6259	162	1	1.	CARDINAL
ejpam-6259	163	1	∈	ORG
ejpam-6259	163	2	∈	ORG
ejpam-6259	163	3	a. theorem 4	ORG
ejpam-6259	165	1	a. proof	PERSON
ejpam-6259	166	1	zero	CARDINAL
ejpam-6259	166	2	∈	ORG
ejpam-6259	170	1	∈	ORG
ejpam-6259	170	2	1	CARDINAL
ejpam-6259	170	3	2	DATE
ejpam-6259	174	1	∈	ORG
ejpam-6259	176	1	n)(a	LOC
ejpam-6259	179	1	3	CARDINAL
ejpam-6259	179	2	a. conversely	PERSON
ejpam-6259	179	3	3	CARDINAL
ejpam-6259	179	4	a.	PERSON
ejpam-6259	179	5	r. chinram	PERSON
ejpam-6259	181	1	j. pure	PERSON
ejpam-6259	181	2	18	CARDINAL
ejpam-6259	181	3	3	CARDINAL
ejpam-6259	181	4	2025	CARDINAL
ejpam-6259	181	5	6259 7	DATE
ejpam-6259	181	6	10	CARDINAL
ejpam-6259	182	1	∈	ORG
ejpam-6259	185	1	n)(a	LOC
ejpam-6259	189	1	∈	ORG
ejpam-6259	190	1	1	CARDINAL
ejpam-6259	190	2	2	DATE
ejpam-6259	193	1	a.	PERSON
ejpam-6259	193	2	t = s. next	ORG
ejpam-6259	196	1	5	CARDINAL
ejpam-6259	197	1	nonempty	ORG
ejpam-6259	197	2	a. proof	PERSON
ejpam-6259	199	1	3	CARDINAL
ejpam-6259	199	2	a.	PERSON
ejpam-6259	200	1	4	CARDINAL
ejpam-6259	200	2	⊆	CARDINAL
ejpam-6259	200	3	⊆	CARDINAL
ejpam-6259	200	4	= s.	PERSON
ejpam-6259	203	1	s.	GPE
ejpam-6259	203	2	3	CARDINAL
ejpam-6259	203	3	⊆	CARDINAL
ejpam-6259	206	1	3	CARDINAL
ejpam-6259	207	1	a. proof	PERSON
ejpam-6259	208	1	4	CARDINAL
ejpam-6259	208	2	3	CARDINAL
ejpam-6259	213	1	∈	ORG
ejpam-6259	213	2	∈	ORG
ejpam-6259	213	3	1	CARDINAL
ejpam-6259	213	4	2	DATE
ejpam-6259	215	1	g(f(an1	ORG
ejpam-6259	220	1	6	CARDINAL
ejpam-6259	221	1	nonempty	ORG
ejpam-6259	221	2	a. r. chinram	PERSON
ejpam-6259	222	1	j. pure	PERSON
ejpam-6259	222	2	18	CARDINAL
ejpam-6259	222	3	3	CARDINAL
ejpam-6259	222	4	2025	CARDINAL
ejpam-6259	222	5	6259 8	DATE
ejpam-6259	222	6	10	CARDINAL
ejpam-6259	223	1	3	CARDINAL
ejpam-6259	223	2	a. let a1	PERSON
ejpam-6259	226	1	∈	ORG
ejpam-6259	226	2	1	CARDINAL
ejpam-6259	226	3	2	DATE
ejpam-6259	229	1	1	CARDINAL
ejpam-6259	229	2	1	CARDINAL
ejpam-6259	229	3	2	DATE
ejpam-6259	231	1	≤ 1	CARDINAL
ejpam-6259	233	1	0 ≤	CARDINAL
ejpam-6259	237	1	a.	PERSON
ejpam-6259	237	2	3	CARDINAL
ejpam-6259	237	3	a. let a1	PERSON
ejpam-6259	241	1	1	CARDINAL
ejpam-6259	241	2	1 = χs(f(a n 1	QUANTITY
ejpam-6259	245	1	1	CARDINAL
ejpam-6259	246	1	1	CARDINAL
ejpam-6259	246	2	1	CARDINAL
ejpam-6259	246	3	2	DATE
ejpam-6259	248	1	∈	ORG
ejpam-6259	248	2	1	CARDINAL
ejpam-6259	248	3	2	DATE
ejpam-6259	251	1	∈	ORG
ejpam-6259	251	2	f(an	ORG
ejpam-6259	251	3	∈	ORG
ejpam-6259	251	4	∈	ORG
ejpam-6259	255	1	7	CARDINAL
ejpam-6259	256	1	nonempty	ORG
ejpam-6259	256	2	a. proof	PERSON
ejpam-6259	257	1	3	CARDINAL
ejpam-6259	257	2	f(an	ORG
ejpam-6259	257	3	∈	ORG
ejpam-6259	257	4	∈	ORG
ejpam-6259	258	1	χs(a	PERSON
ejpam-6259	260	1	1.	CARDINAL
ejpam-6259	262	1	f(an	ORG
ejpam-6259	263	1	0 ≤	QUANTITY
ejpam-6259	264	1	a. conversely	PERSON
ejpam-6259	264	2	3	CARDINAL
ejpam-6259	264	3	f(an	ORG
ejpam-6259	264	4	∈ s.	PERSON
ejpam-6259	265	1	1	CARDINAL
ejpam-6259	266	1	1	CARDINAL
ejpam-6259	266	2	∈	ORG
ejpam-6259	266	3	a. 4	PERSON
ejpam-6259	268	1	two	CARDINAL
ejpam-6259	270	1	two	CARDINAL
ejpam-6259	272	1	j. pure	PERSON
ejpam-6259	272	2	18	CARDINAL
ejpam-6259	272	3	3	CARDINAL
ejpam-6259	272	4	2025	CARDINAL
ejpam-6259	272	5	6259 9	DATE
ejpam-6259	272	6	10	CARDINAL
ejpam-6259	274	1	3-7	CARDINAL
ejpam-6259	278	1	1	CARDINAL
ejpam-6259	278	2	l. a. zadeh	PERSON
ejpam-6259	280	1	8(3):338–353	CARDINAL
ejpam-6259	280	2	1965	DATE
ejpam-6259	281	1	2	CARDINAL
ejpam-6259	281	2	r. kasner	PERSON
ejpam-6259	283	1	american	NORP
ejpam-6259	283	2	10:290–291	CARDINAL
ejpam-6259	283	3	1904	DATE
ejpam-6259	284	1	3	CARDINAL
ejpam-6259	284	2	w. a. dudek	PERSON
ejpam-6259	286	1	southeast asian	NORP
ejpam-6259	286	2	25:97–104, 2011	DATE
ejpam-6259	287	1	4	CARDINAL
ejpam-6259	287	2	j. p. solano	PERSON
ejpam-6259	287	3	s. suebsung	PERSON
ejpam-6259	287	4	r. chinram	PERSON
ejpam-6259	289	1	13(2):179–186	DATE
ejpam-6259	289	2	2018	DATE
ejpam-6259	290	1	5	CARDINAL
ejpam-6259	290	2	m. couceiro	PERSON
ejpam-6259	290	3	j. devillet	PERSON
ejpam-6259	292	1	80(4):51	DATE
ejpam-6259	292	2	2019	DATE
ejpam-6259	293	1	6	CARDINAL
ejpam-6259	294	1	congruences	ORG
ejpam-6259	295	1	2020	DATE
ejpam-6259	296	1	7	CARDINAL
ejpam-6259	297	1	kyungpook mathematical journal	ORG
ejpam-6259	297	2	2022	CARDINAL
ejpam-6259	298	1	8	CARDINAL
ejpam-6259	298	2	j. devillet	PERSON
ejpam-6259	298	3	j. l. marichal and	PERSON
ejpam-6259	300	1	und geometrie	PERSON
ejpam-6259	300	2	63(1):149–166	CARDINAL
ejpam-6259	300	3	2022	CARDINAL
ejpam-6259	301	1	9	CARDINAL
ejpam-6259	301	2	j. daengsaen	PERSON
ejpam-6259	301	3	s. leeratanavalee	PERSON
ejpam-6259	303	1	semigroup	PERSON
ejpam-6259	303	2	2023	CARDINAL
ejpam-6259	304	1	10	CARDINAL
ejpam-6259	304	2	l. k. satko	PERSON
ejpam-6259	306	1	semigroup	ORG
ejpam-6259	306	2	21(5):233–240	PERSON
ejpam-6259	306	3	1980	DATE
ejpam-6259	307	1	11	CARDINAL
ejpam-6259	307	2	r. chinram	PERSON
ejpam-6259	307	3	t. changphas	PERSON
ejpam-6259	309	1	21(5):1131–1138	CARDINAL
ejpam-6259	309	2	2018	DATE
ejpam-6259	310	1	12	CARDINAL
ejpam-6259	310	2	t. gaketem	PERSON
ejpam-6259	312	1	22	CARDINAL
ejpam-6259	313	1	8, 2024	DATE
ejpam-6259	314	1	13	CARDINAL
ejpam-6259	314	2	t. gaketem	PERSON
ejpam-6259	316	1	27(6):1817–1830	CARDINAL
ejpam-6259	316	2	2024	DATE
ejpam-6259	317	1	14	CARDINAL
ejpam-6259	317	2	a. iampan	PERSON
ejpam-6259	317	3	r. chinram	PERSON
ejpam-6259	319	1	chinram	ORG
ejpam-6259	320	1	j. pure	PERSON
ejpam-6259	320	2	18	CARDINAL
ejpam-6259	320	3	3	CARDINAL
ejpam-6259	320	4	2025	CARDINAL
ejpam-6259	320	5	6259 10	DATE
ejpam-6259	320	6	10	CARDINAL
ejpam-6259	321	1	16(4):1623	CARDINAL
ejpam-6259	321	2	1629	CARDINAL
ejpam-6259	321	3	2021	DATE
ejpam-6259	322	1	15	CARDINAL
ejpam-6259	322	2	r. chinram	PERSON
ejpam-6259	322	3	s. kaewchay	PERSON
ejpam-6259	322	4	a. iampan	PERSON
ejpam-6259	324	1	2022	CARDINAL
ejpam-6259	325	1	16	CARDINAL
ejpam-6259	325	2	a. iampan	PERSON
ejpam-6259	325	3	r. chinram	PERSON
ejpam-6259	327	1	17(4):1491–1497	CARDINAL
ejpam-6259	327	2	2022	CARDINAL
ejpam-6259	328	1	17	CARDINAL
ejpam-6259	328	2	n. sarasit	PERSON
ejpam-6259	328	3	r. chinram	PERSON
ejpam-6259	328	4	a. rattana	PERSON
ejpam-6259	330	1	36(4):497–508	CARDINAL
ejpam-6259	330	2	2023	CARDINAL
ejpam-6259	331	1	18	CARDINAL
ejpam-6259	331	2	r. chinram	PERSON
ejpam-6259	333	1	european journal	ORG
ejpam-6259	333	2	11(3):762–773	DATE
ejpam-6259	333	3	2018	DATE
ejpam-6259	334	1	19	CARDINAL
ejpam-6259	334	2	j. n. mordeson	PERSON
ejpam-6259	334	3	d. s. malik	PERSON
ejpam-6259	334	4	n. kuroki	PERSON
ejpam-6259	335	1	berlin	GPE
ejpam-6259	335	2	2012	DATE