id	sid	eid	entity	type
ejpam-3283	1	1	european journal	ORG
ejpam-3283	2	1	11	CARDINAL
ejpam-3283	2	2	3, 2018	DATE
ejpam-3283	2	3	762	CARDINAL
ejpam-3283	2	4	1307-5543	DATE
ejpam-3283	2	5	new york	GPE
ejpam-3283	2	6	pattarawan petchkaew1	PERSON
ejpam-3283	2	7	1	CARDINAL
ejpam-3283	2	8	90000	CARDINAL
ejpam-3283	2	9	thailand 2	ORG
ejpam-3283	2	10	90110	DATE
ejpam-3283	2	11	thailand 3 centre of	ORG
ejpam-3283	2	12	si ayuthaya road	ORG
ejpam-3283	2	13	bangkok 10400	ORG
ejpam-3283	2	14	thailand	GPE
ejpam-3283	6	1	2010	DATE
ejpam-3283	6	2	20n15	CARDINAL
ejpam-3283	6	3	20m12	CARDINAL
ejpam-3283	6	4	0-n	QUANTITY
ejpam-3283	7	1	1	CARDINAL
ejpam-3283	7	2	10	CARDINAL
ejpam-3283	7	3	1904	DATE
ejpam-3283	8	1	12	CARDINAL
ejpam-3283	9	1	3	CARDINAL
ejpam-3283	9	2	dudek	NORP
ejpam-3283	9	3	4	CARDINAL
ejpam-3283	9	4	5	CARDINAL
ejpam-3283	9	5	6	CARDINAL
ejpam-3283	10	1	dudek	ORG
ejpam-3283	11	1	15	CARDINAL
ejpam-3283	11	2	wang	PERSON
ejpam-3283	11	3	zhou	PERSON
ejpam-3283	11	4	zhan	PERSON
ejpam-3283	12	1	11	CARDINAL
ejpam-3283	12	2	14	CARDINAL
ejpam-3283	12	3	8	CARDINAL
ejpam-3283	13	1	solano	GPE
ejpam-3283	13	2	13	CARDINAL
ejpam-3283	15	1	r. chinram	PERSON
ejpam-3283	16	1	762	CARDINAL
ejpam-3283	16	2	2018	DATE
ejpam-3283	17	1	petchkaew	NORP
ejpam-3283	17	2	r. chinram	PERSON
ejpam-3283	18	1	j. pure	PERSON
ejpam-3283	18	2	11	CARDINAL
ejpam-3283	18	3	3	CARDINAL
ejpam-3283	18	4	2018	DATE
ejpam-3283	18	5	762	CARDINAL
ejpam-3283	18	6	2000	DATE
ejpam-3283	18	7	xu	PERSON
ejpam-3283	18	8	2	CARDINAL
ejpam-3283	19	1	1	CARDINAL
ejpam-3283	19	2	arslanov	GPE
ejpam-3283	19	3	kehayopulu	PERSON
ejpam-3283	20	1	2010	DATE
ejpam-3283	20	2	iampan	GPE
ejpam-3283	20	3	9	CARDINAL
ejpam-3283	21	1	9	CARDINAL
ejpam-3283	23	1	2	CARDINAL
ejpam-3283	23	2	15	CARDINAL
ejpam-3283	23	3	9	CARDINAL
ejpam-3283	24	1	first	ORDINAL
ejpam-3283	24	2	15	CARDINAL
ejpam-3283	24	3	sn → s	ORG
ejpam-3283	24	4	n-ary groupoid	ORG
ejpam-3283	26	1	xj	ORG
ejpam-3283	29	1	= xi+t	PERSON
ejpam-3283	31	1	xi+ti+1	ORG
ejpam-3283	38	1	n-ary groupoid	ORG
ejpam-3283	38	2	1	CARDINAL
ejpam-3283	39	1	1	CARDINAL
ejpam-3283	41	1	∈	ORG
ejpam-3283	43	1	nonempty	ORG
ejpam-3283	45	1	∈	ORG
ejpam-3283	45	2	∈	ORG
ejpam-3283	46	1	1	CARDINAL
ejpam-3283	46	2	nonempty	ORG
ejpam-3283	46	3	every 1 ≤	MONEY
ejpam-3283	49	1	1	CARDINAL
ejpam-3283	49	2	2	DATE
ejpam-3283	52	1	an2	ORG
ejpam-3283	52	2	2	CARDINAL
ejpam-3283	53	1	a.	PERSON
ejpam-3283	53	2	petchkaew	NORP
ejpam-3283	53	3	r. chinram	PERSON
ejpam-3283	54	1	j. pure	PERSON
ejpam-3283	54	2	11	CARDINAL
ejpam-3283	54	3	3	CARDINAL
ejpam-3283	54	4	2018	DATE
ejpam-3283	54	5	762	CARDINAL
ejpam-3283	54	6	h(a	ORG
ejpam-3283	55	1	s(a	PERSON
ejpam-3283	56	1	at least two	CARDINAL
ejpam-3283	56	2	zero	CARDINAL
ejpam-3283	56	3	1	CARDINAL
ejpam-3283	58	1	xn−1	GPE
ejpam-3283	59	1	0	CARDINAL
ejpam-3283	60	1	zero	CARDINAL
ejpam-3283	60	2	zero	CARDINAL
ejpam-3283	61	1	s without zero	CARDINAL
ejpam-3283	62	1	zero	CARDINAL
ejpam-3283	62	2	0-n	QUANTITY
ejpam-3283	62	3	6=	CARDINAL
ejpam-3283	62	4	0	CARDINAL
ejpam-3283	63	1	s without zero	CARDINAL
ejpam-3283	63	2	j ( i.	ORG
ejpam-3283	63	3	j = i.	PERSON
ejpam-3283	63	4	zero	CARDINAL
ejpam-3283	63	5	0-minimal n	QUANTITY
ejpam-3283	63	6	j ( i. equivalently	ORG
ejpam-3283	64	1	0	CARDINAL
ejpam-3283	65	1	j = s. equivalently	PERSON
ejpam-3283	65	2	⊆	CARDINAL
ejpam-3283	65	3	j = i. 3	PERSON
ejpam-3283	66	1	0-n	QUANTITY
ejpam-3283	67	1	1	CARDINAL
ejpam-3283	68	1	s.	ORG
ejpam-3283	68	2	a. proof	PERSON
ejpam-3283	69	1	first	ORDINAL
ejpam-3283	69	2	∪a	CARDINAL
ejpam-3283	70	1	xn−1 ∈ s	PERSON
ejpam-3283	70	2	y ∈	PERSON
ejpam-3283	70	3	∪a	CARDINAL
ejpam-3283	71	1	two	CARDINAL
ejpam-3283	72	1	1	CARDINAL
ejpam-3283	72	2	y ∈	PERSON
ejpam-3283	72	3	1	CARDINAL
ejpam-3283	73	1	1	CARDINAL
ejpam-3283	73	2	1	CARDINAL
ejpam-3283	73	3	1	CARDINAL
ejpam-3283	73	4	2	CARDINAL
ejpam-3283	73	5	⊆	CARDINAL
ejpam-3283	73	6	∪a	CARDINAL
ejpam-3283	74	1	2	CARDINAL
ejpam-3283	75	1	1	CARDINAL
ejpam-3283	75	2	⊆	CARDINAL
ejpam-3283	75	3	∪a	CARDINAL
ejpam-3283	76	1	1	CARDINAL
ejpam-3283	76	2	2	CARDINAL
ejpam-3283	76	3	∪a	CARDINAL
ejpam-3283	76	4	s. next	ORG
ejpam-3283	76	5	a.	PERSON
ejpam-3283	77	1	⊆	CARDINAL
ejpam-3283	77	2	i.	PERSON
ejpam-3283	77	3	y ∈	PERSON
ejpam-3283	77	4	1	CARDINAL
ejpam-3283	78	1	∈	ORG
ejpam-3283	78	2	∈	ORG
ejpam-3283	78	3	⊆	CARDINAL
ejpam-3283	78	4	y = f(sn−1 1	PERSON
ejpam-3283	79	1	⊆	CARDINAL
ejpam-3283	79	2	i.	PERSON
ejpam-3283	79	3	∪a	CARDINAL
ejpam-3283	79	4	s containing a. corollary 1.	ORG
ejpam-3283	82	1	1	CARDINAL
ejpam-3283	83	1	petchkaew	NORP
ejpam-3283	83	2	r. chinram	PERSON
ejpam-3283	84	1	j. pure	PERSON
ejpam-3283	84	2	11	CARDINAL
ejpam-3283	84	3	3	CARDINAL
ejpam-3283	84	4	2018	DATE
ejpam-3283	84	5	762	CARDINAL
ejpam-3283	84	6	2	CARDINAL
ejpam-3283	84	7	s.	ORG
ejpam-3283	84	8	s. proof	ORG
ejpam-3283	85	1	one	CARDINAL
ejpam-3283	85	2	1	CARDINAL
ejpam-3283	86	1	3	CARDINAL
ejpam-3283	87	1	zero	CARDINAL
ejpam-3283	87	2	1	CARDINAL
ejpam-3283	88	1	2	CARDINAL
ejpam-3283	88	2	∈	ORG
ejpam-3283	88	3	3	CARDINAL
ejpam-3283	89	1	∈	ORG
ejpam-3283	90	1	first	ORDINAL
ejpam-3283	90	2	2	CARDINAL
ejpam-3283	92	1	lemma 2	ORG
ejpam-3283	92	2	∈	ORG
ejpam-3283	92	3	∈	ORG
ejpam-3283	93	1	3	CARDINAL
ejpam-3283	94	1	∈	ORG
ejpam-3283	94	2	1	CARDINAL
ejpam-3283	94	3	3	CARDINAL
ejpam-3283	94	4	1	CARDINAL
ejpam-3283	95	1	3	CARDINAL
ejpam-3283	96	1	⊆	CARDINAL
ejpam-3283	96	2	⊆	CARDINAL
ejpam-3283	97	1	1	CARDINAL
ejpam-3283	98	1	z30	PERSON
ejpam-3283	98	2	5	CARDINAL
ejpam-3283	98	3	25	DATE
ejpam-3283	99	1	sn → s	ORG
ejpam-3283	105	1	4	CARDINAL
ejpam-3283	106	1	zero	CARDINAL
ejpam-3283	106	2	1	CARDINAL
ejpam-3283	106	3	0-n	QUANTITY
ejpam-3283	107	1	∈	ORG
ejpam-3283	108	1	2	CARDINAL
ejpam-3283	108	2	∈	ORG
ejpam-3283	108	3	0	CARDINAL
ejpam-3283	108	4	0-n	QUANTITY
ejpam-3283	110	1	1	CARDINAL
ejpam-3283	110	2	0-n	QUANTITY
ejpam-3283	111	1	∈	ORG
ejpam-3283	111	2	∈	ORG
ejpam-3283	112	1	2	CARDINAL
ejpam-3283	112	2	∈	ORG
ejpam-3283	112	3	6=	CARDINAL
ejpam-3283	112	4	0	CARDINAL
ejpam-3283	115	1	⊆	CARDINAL
ejpam-3283	115	2	⊆	CARDINAL
ejpam-3283	115	3	0-n	QUANTITY
ejpam-3283	116	1	2	CARDINAL
ejpam-3283	116	2	z30	PERSON
ejpam-3283	116	3	0	CARDINAL
ejpam-3283	116	4	5	DATE
ejpam-3283	116	5	25	CARDINAL
ejpam-3283	117	1	sn → s	ORG
ejpam-3283	122	1	0-n	QUANTITY
ejpam-3283	123	1	5	CARDINAL
ejpam-3283	124	1	γ ∈	FAC
ejpam-3283	124	2	⋃	DATE
ejpam-3283	125	1	petchkaew	NORP
ejpam-3283	125	2	r. chinram	PERSON
ejpam-3283	126	1	j. pure	PERSON
ejpam-3283	126	2	11	CARDINAL
ejpam-3283	126	3	3	CARDINAL
ejpam-3283	126	4	2018	DATE
ejpam-3283	126	5	762	CARDINAL
ejpam-3283	128	1	6	CARDINAL
ejpam-3283	129	1	1	CARDINAL
ejpam-3283	129	2	6=	CARDINAL
ejpam-3283	129	3	⊆	CARDINAL
ejpam-3283	129	4	2	CARDINAL
ejpam-3283	129	5	0-n	QUANTITY
ejpam-3283	130	1	6=	CARDINAL
ejpam-3283	130	2	⊆	CARDINAL
ejpam-3283	131	1	1	CARDINAL
ejpam-3283	132	1	∈	ORG
ejpam-3283	133	1	lemma 2	ORG
ejpam-3283	133	2	f(hn−1	PERSON
ejpam-3283	133	3	f(hn−1	PERSON
ejpam-3283	133	4	∩	PERSON
ejpam-3283	133	5	⊆	CARDINAL
ejpam-3283	133	6	f(hn−1	PERSON
ejpam-3283	134	1	⊆	CARDINAL
ejpam-3283	134	2	⊆	CARDINAL
ejpam-3283	134	3	i.	PERSON
ejpam-3283	134	4	⊆	CARDINAL
ejpam-3283	134	5	2	CARDINAL
ejpam-3283	134	6	0-n	QUANTITY
ejpam-3283	135	1	6=	CARDINAL
ejpam-3283	135	2	∈	ORG
ejpam-3283	136	1	lemma 4(1	PERSON
ejpam-3283	136	2	1	CARDINAL
ejpam-3283	136	3	h(a	ORG
ejpam-3283	137	1	f(hn−1	ORG
ejpam-3283	137	2	⊆	CARDINAL
ejpam-3283	137	3	⊆	CARDINAL
ejpam-3283	137	4	i.	PERSON
ejpam-3283	138	1	7	CARDINAL
ejpam-3283	139	1	s. proof	ORG
ejpam-3283	143	1	1	CARDINAL
ejpam-3283	144	1	xn−1 ∈	PERSON
ejpam-3283	145	1	1	CARDINAL
ejpam-3283	145	2	f(xn−1	GPE
ejpam-3283	147	1	xn−1 2	PERSON
ejpam-3283	147	2	∈	ORG
ejpam-3283	148	1	1	CARDINAL
ejpam-3283	148	2	2	DATE
ejpam-3283	149	1	1	CARDINAL
ejpam-3283	150	1	s. 4	ORG
ejpam-3283	150	2	minimality of n	PERSON
ejpam-3283	151	1	1	CARDINAL
ejpam-3283	152	1	without zero	CARDINAL
ejpam-3283	157	1	1	CARDINAL
ejpam-3283	157	2	s. let j	ORG
ejpam-3283	157	3	i.	PERSON
ejpam-3283	158	1	⊆	CARDINAL
ejpam-3283	158	2	j ⊆ i.	PERSON
ejpam-3283	158	3	lemma 7	ORG
ejpam-3283	158	4	⊆	CARDINAL
ejpam-3283	160	1	j ⊆ i.	ORG
ejpam-3283	161	1	6=	CARDINAL
ejpam-3283	161	2	⊆	CARDINAL
ejpam-3283	161	3	6(1	CARDINAL
ejpam-3283	162	1	j = i.	PERSON
ejpam-3283	162	2	s. example	ORG
ejpam-3283	163	1	3	CARDINAL
ejpam-3283	163	2	z30	PERSON
ejpam-3283	163	3	1	CARDINAL
ejpam-3283	163	4	5	DATE
ejpam-3283	163	5	25	CARDINAL
ejpam-3283	164	1	sn → s	ORG
ejpam-3283	169	1	5	CARDINAL
ejpam-3283	169	2	25	DATE
ejpam-3283	169	3	s. p. petchkaew	ORG
ejpam-3283	169	4	r. chinram	PERSON
ejpam-3283	170	1	j. pure	PERSON
ejpam-3283	170	2	11	CARDINAL
ejpam-3283	170	3	3	CARDINAL
ejpam-3283	170	4	2018	DATE
ejpam-3283	170	5	762	CARDINAL
ejpam-3283	170	6	2	CARDINAL
ejpam-3283	171	1	zero	CARDINAL
ejpam-3283	171	2	1	CARDINAL
ejpam-3283	171	3	0-minimal n	QUANTITY
ejpam-3283	171	4	0	CARDINAL
ejpam-3283	171	5	0-n	QUANTITY
ejpam-3283	172	1	2	CARDINAL
ejpam-3283	172	2	0-n	QUANTITY
ejpam-3283	172	3	0-minimal n	QUANTITY
ejpam-3283	172	4	s. proof	ORG
ejpam-3283	173	1	1	CARDINAL
ejpam-3283	173	2	0-minimal n	QUANTITY
ejpam-3283	173	3	6=	CARDINAL
ejpam-3283	173	4	0	CARDINAL
ejpam-3283	173	5	i.	PERSON
ejpam-3283	173	6	⊆	CARDINAL
ejpam-3283	173	7	⊆	CARDINAL
ejpam-3283	173	8	7	CARDINAL
ejpam-3283	174	1	0-minimal n	QUANTITY
ejpam-3283	174	2	⊆	CARDINAL
ejpam-3283	177	1	2	CARDINAL
ejpam-3283	177	2	0-n	QUANTITY
ejpam-3283	178	1	j ⊆ i.	ORG
ejpam-3283	178	2	6(2	CARDINAL
ejpam-3283	179	1	j = i.	PERSON
ejpam-3283	179	2	0-minimal n	QUANTITY
ejpam-3283	179	3	s. example 4.	ORG
ejpam-3283	179	4	z30	PERSON
ejpam-3283	179	5	0	CARDINAL
ejpam-3283	179	6	1	DATE
ejpam-3283	179	7	5	DATE
ejpam-3283	179	8	25	CARDINAL
ejpam-3283	180	1	sn → s	ORG
ejpam-3283	185	1	0	CARDINAL
ejpam-3283	185	2	5	DATE
ejpam-3283	185	3	25	CARDINAL
ejpam-3283	185	4	0-minimal n	QUANTITY
ejpam-3283	185	5	s. theorem 3	ORG
ejpam-3283	186	1	zero	CARDINAL
ejpam-3283	186	2	one	CARDINAL
ejpam-3283	186	3	two	CARDINAL
ejpam-3283	189	1	two	CARDINAL
ejpam-3283	189	2	1	CARDINAL
ejpam-3283	189	3	∈	ORG
ejpam-3283	190	1	6=	CARDINAL
ejpam-3283	190	2	∈	ORG
ejpam-3283	191	1	⊆	CARDINAL
ejpam-3283	191	2	i.	PERSON
ejpam-3283	191	3	⊆	CARDINAL
ejpam-3283	191	4	j ⊆ s.	PERSON
ejpam-3283	191	5	j = s	PERSON
ejpam-3283	192	1	j = i.	PERSON
ejpam-3283	192	2	one	CARDINAL
ejpam-3283	192	3	2	CARDINAL
ejpam-3283	192	4	∈	ORG
ejpam-3283	192	5	6=	CARDINAL
ejpam-3283	194	1	5	CARDINAL
ejpam-3283	201	1	in(a)∩i	PRODUCT
ejpam-3283	201	2	in(a)∩i	NORP
ejpam-3283	201	3	two	CARDINAL
ejpam-3283	204	1	∩	PERSON
ejpam-3283	204	2	6=	CARDINAL
ejpam-3283	204	3	∩	PERSON
ejpam-3283	204	4	∩ in(a	PERSON
ejpam-3283	205	1	∩ in(a	PERSON
ejpam-3283	206	1	6=	CARDINAL
ejpam-3283	206	2	two	CARDINAL
ejpam-3283	207	1	r. chinram	PERSON
ejpam-3283	208	1	j. pure	PERSON
ejpam-3283	208	2	11	CARDINAL
ejpam-3283	208	3	3	CARDINAL
ejpam-3283	208	4	2018	DATE
ejpam-3283	208	5	762-773 768	MONEY
ejpam-3283	208	6	one	CARDINAL
ejpam-3283	209	1	two	CARDINAL
ejpam-3283	209	2	6⊆	DATE
ejpam-3283	209	3	6⊆	DATE
ejpam-3283	210	1	s.	PERSON
ejpam-3283	212	1	4	CARDINAL
ejpam-3283	213	1	zero	CARDINAL
ejpam-3283	213	2	nonzero proper n	ORG
ejpam-3283	213	3	one	CARDINAL
ejpam-3283	213	4	two	CARDINAL
ejpam-3283	213	5	0	CARDINAL
ejpam-3283	215	1	3	CARDINAL
ejpam-3283	215	2	zero	CARDINAL
ejpam-3283	216	1	5	CARDINAL
ejpam-3283	216	2	maximality of n	ORG
ejpam-3283	217	1	5	CARDINAL
ejpam-3283	218	1	zero	CARDINAL
ejpam-3283	218	2	one	CARDINAL
ejpam-3283	218	3	two	CARDINAL
ejpam-3283	221	1	two	CARDINAL
ejpam-3283	221	2	1	CARDINAL
ejpam-3283	221	3	∈	ORG
ejpam-3283	222	1	∈	ORG
ejpam-3283	224	1	⊆	CARDINAL
ejpam-3283	224	2	i.	PERSON
ejpam-3283	224	3	⊆	CARDINAL
ejpam-3283	224	4	j ⊆ s	PERSON
ejpam-3283	224	5	j = s	PERSON
ejpam-3283	225	1	j = i.	PERSON
ejpam-3283	225	2	2	CARDINAL
ejpam-3283	225	3	∈	ORG
ejpam-3283	225	4	6=	CARDINAL
ejpam-3283	227	1	5	CARDINAL
ejpam-3283	228	1	two	CARDINAL
ejpam-3283	230	1	∩	PERSON
ejpam-3283	230	2	∩	PERSON
ejpam-3283	231	1	∩ in(a	PERSON
ejpam-3283	231	2	∩	PERSON
ejpam-3283	232	1	∩	PERSON
ejpam-3283	232	2	6=	CARDINAL
ejpam-3283	232	3	∩	PERSON
ejpam-3283	232	4	∩ in(a	PERSON
ejpam-3283	233	1	6=	CARDINAL
ejpam-3283	233	2	two	CARDINAL
ejpam-3283	234	1	r. chinram	PERSON
ejpam-3283	235	1	j. pure	PERSON
ejpam-3283	235	2	11	CARDINAL
ejpam-3283	235	3	3	CARDINAL
ejpam-3283	235	4	2018	DATE
ejpam-3283	235	5	762	CARDINAL
ejpam-3283	235	6	one	CARDINAL
ejpam-3283	236	1	two	CARDINAL
ejpam-3283	236	2	6⊆	DATE
ejpam-3283	236	3	6⊆	DATE
ejpam-3283	238	1	6	CARDINAL
ejpam-3283	239	1	zero	CARDINAL
ejpam-3283	239	2	nonzero proper n	ORG
ejpam-3283	239	3	one	CARDINAL
ejpam-3283	239	4	two	CARDINAL
ejpam-3283	239	5	0	CARDINAL
ejpam-3283	241	1	zero	CARDINAL
ejpam-3283	244	1	1	CARDINAL
ejpam-3283	244	2	f(a	ORG
ejpam-3283	244	3	⊆	CARDINAL
ejpam-3283	244	4	∈	ORG
ejpam-3283	244	5	2	CARDINAL
ejpam-3283	244	6	⊆	CARDINAL
ejpam-3283	244	7	∈	ORG
ejpam-3283	244	8	i. proof	PERSON
ejpam-3283	245	1	two	CARDINAL
ejpam-3283	245	2	1	CARDINAL
ejpam-3283	245	3	∈	ORG
ejpam-3283	245	4	⊆	CARDINAL
ejpam-3283	245	5	i.	PERSON
ejpam-3283	245	6	f(a	ORG
ejpam-3283	246	1	⊆	CARDINAL
ejpam-3283	246	2	⊆	CARDINAL
ejpam-3283	246	3	i.	PERSON
ejpam-3283	246	4	1	CARDINAL
ejpam-3283	250	1	f(a	ORG
ejpam-3283	250	2	⊆	CARDINAL
ejpam-3283	250	3	∈	ORG
ejpam-3283	251	1	1	CARDINAL
ejpam-3283	252	1	2	CARDINAL
ejpam-3283	252	2	6⊆	DATE
ejpam-3283	252	3	∈	ORG
ejpam-3283	252	4	∈	ORG
ejpam-3283	252	5	6⊆	CARDINAL
ejpam-3283	252	6	lemma 2.	ORG
ejpam-3283	252	7	lemma 5	ORG
ejpam-3283	253	1	∈	ORG
ejpam-3283	253	2	sr	ORG
ejpam-3283	253	3	⊆	CARDINAL
ejpam-3283	253	4	∈	ORG
ejpam-3283	253	5	i. hence	PERSON
ejpam-3283	253	6	2	CARDINAL
ejpam-3283	255	1	∈	ORG
ejpam-3283	256	1	f(a	ORG
ejpam-3283	256	2	⊆	CARDINAL
ejpam-3283	257	1	⊆	CARDINAL
ejpam-3283	260	1	s. next	ORG
ejpam-3283	260	2	⊆	CARDINAL
ejpam-3283	260	3	∈	ORG
ejpam-3283	260	4	⊆	CARDINAL
ejpam-3283	260	5	⊆	CARDINAL
ejpam-3283	260	6	⊆	CARDINAL
ejpam-3283	260	7	∈	ORG
ejpam-3283	260	8	j r i.	PERSON
ejpam-3283	260	9	⊆	CARDINAL
ejpam-3283	260	10	j = j ⊆ s	PERSON
ejpam-3283	260	11	j = s. therefore	PERSON
ejpam-3283	261	1	5	CARDINAL
ejpam-3283	262	1	1	CARDINAL
ejpam-3283	262	2	sn → s	ORG
ejpam-3283	266	1	petchkaew	NORP
ejpam-3283	266	2	r. chinram	PERSON
ejpam-3283	267	1	j. pure	PERSON
ejpam-3283	267	2	11	CARDINAL
ejpam-3283	267	3	3	CARDINAL
ejpam-3283	267	4	2018	DATE
ejpam-3283	267	5	762	CARDINAL
ejpam-3283	269	1	1	CARDINAL
ejpam-3283	270	1	1	CARDINAL
ejpam-3283	270	2	1	CARDINAL
ejpam-3283	270	3	⊆	CARDINAL
ejpam-3283	270	4	i.	PERSON
ejpam-3283	270	5	7(1	CARDINAL
ejpam-3283	270	6	s.	ORG
ejpam-3283	270	7	2	CARDINAL
ejpam-3283	270	8	0,−1	CARDINAL
ejpam-3283	270	9	1	CARDINAL
ejpam-3283	271	1	sn → s	ORG
ejpam-3283	276	1	0	CARDINAL
ejpam-3283	277	1	1	CARDINAL
ejpam-3283	277	2	sri ⊆	ORG
ejpam-3283	278	1	7(2	CARDINAL
ejpam-3283	278	2	s. for an n-ary semigroup s	ORG
ejpam-3283	279	1	zero	CARDINAL
ejpam-3283	279	2	zero	CARDINAL
ejpam-3283	280	1	8	CARDINAL
ejpam-3283	283	1	6=	CARDINAL
ejpam-3283	283	2	∈	ORG
ejpam-3283	284	1	u = s.	PERSON
ejpam-3283	284	2	∈	ORG
ejpam-3283	284	3	6∈	CARDINAL
ejpam-3283	284	4	6∈	CARDINAL
ejpam-3283	285	1	6=	CARDINAL
ejpam-3283	285	2	6=	CARDINAL
ejpam-3283	285	3	∈	ORG
ejpam-3283	285	4	∈	ORG
ejpam-3283	285	5	a∈s in(a	PERSON
ejpam-3283	285	6	⊆	CARDINAL
ejpam-3283	285	7	⊆	CARDINAL
ejpam-3283	285	8	u = s. theorem 8	PERSON
ejpam-3283	286	1	zero	CARDINAL
ejpam-3283	286	2	1	CARDINAL
ejpam-3283	287	1	2	CARDINAL
ejpam-3283	288	1	6=	CARDINAL
ejpam-3283	288	2	∈	ORG
ejpam-3283	288	3	3	CARDINAL
ejpam-3283	288	4	∈	ORG
ejpam-3283	288	5	f(a	ORG
ejpam-3283	288	6	⊆	CARDINAL
ejpam-3283	288	7	s. (4	ORG
ejpam-3283	288	8	∈	ORG
ejpam-3283	288	9	s. proof	ORG
ejpam-3283	290	1	two	CARDINAL
ejpam-3283	290	2	1	CARDINAL
ejpam-3283	290	3	6=	CARDINAL
ejpam-3283	290	4	∈	ORG
ejpam-3283	290	5	8	CARDINAL
ejpam-3283	291	1	2	CARDINAL
ejpam-3283	292	1	2	CARDINAL
ejpam-3283	292	2	⊆	CARDINAL
ejpam-3283	292	3	s.	PERSON
ejpam-3283	294	1	7	CARDINAL
ejpam-3283	294	2	1	CARDINAL
ejpam-3283	294	3	f(a	ORG
ejpam-3283	294	4	⊆	CARDINAL
ejpam-3283	294	5	∈	ORG
ejpam-3283	294	6	2	CARDINAL
ejpam-3283	294	7	⊆ f(sn−1	QUANTITY
ejpam-3283	294	8	∈	ORG
ejpam-3283	295	1	p. petchkaew	PERSON
ejpam-3283	295	2	r. chinram	PERSON
ejpam-3283	296	1	j. pure	PERSON
ejpam-3283	296	2	11	CARDINAL
ejpam-3283	296	3	3	CARDINAL
ejpam-3283	296	4	2018	DATE
ejpam-3283	296	5	762	CARDINAL
ejpam-3283	296	6	first	ORDINAL
ejpam-3283	296	7	f(a	ORG
ejpam-3283	296	8	⊆	CARDINAL
ejpam-3283	296	9	∈	ORG
ejpam-3283	296	10	⊆	CARDINAL
ejpam-3283	298	1	= s.	PERSON
ejpam-3283	298	2	1	CARDINAL
ejpam-3283	299	1	1	CARDINAL
ejpam-3283	301	1	∈ s.	PERSON
ejpam-3283	301	2	1	CARDINAL
ejpam-3283	301	3	2	CARDINAL
ejpam-3283	302	1	2	CARDINAL
ejpam-3283	302	2	2	CARDINAL
ejpam-3283	303	1	f(a	ORG
ejpam-3283	303	2	⊆	CARDINAL
ejpam-3283	303	3	2	CARDINAL
ejpam-3283	306	1	3	CARDINAL
ejpam-3283	307	1	⊆ f(sn−1	QUANTITY
ejpam-3283	307	2	∈	ORG
ejpam-3283	308	1	∈	ORG
ejpam-3283	309	1	∈	ORG
ejpam-3283	311	1	1	CARDINAL
ejpam-3283	314	1	∈	ORG
ejpam-3283	315	1	∈	ORG
ejpam-3283	316	1	∈	ORG
ejpam-3283	316	2	⊆	CARDINAL
ejpam-3283	316	3	1	CARDINAL
ejpam-3283	317	1	∈	ORG
ejpam-3283	318	1	∈	ORG
ejpam-3283	318	2	⊆	CARDINAL
ejpam-3283	319	1	∈	ORG
ejpam-3283	321	1	4	CARDINAL
ejpam-3283	324	1	6	CARDINAL
ejpam-3283	325	1	1	CARDINAL
ejpam-3283	325	2	−1	CARDINAL
ejpam-3283	325	3	1	CARDINAL
ejpam-3283	326	1	sn → s	ORG
ejpam-3283	331	1	1	CARDINAL
ejpam-3283	331	2	8	CARDINAL
ejpam-3283	332	1	2	CARDINAL
ejpam-3283	332	2	1	CARDINAL
ejpam-3283	333	1	sn → s	ORG
ejpam-3283	338	1	6=	CARDINAL
ejpam-3283	338	2	∈	ORG
ejpam-3283	338	3	2	CARDINAL
ejpam-3283	338	4	8	CARDINAL
ejpam-3283	339	1	3	CARDINAL
ejpam-3283	339	2	0	CARDINAL
ejpam-3283	339	3	2	DATE
ejpam-3283	339	4	2n	CARDINAL
ejpam-3283	340	1	sn → s	ORG
ejpam-3283	345	1	0	CARDINAL
ejpam-3283	345	2	2n	CARDINAL
ejpam-3283	346	1	3	CARDINAL
ejpam-3283	346	2	8	CARDINAL
ejpam-3283	346	3	2	CARDINAL
ejpam-3283	347	1	4	CARDINAL
ejpam-3283	347	2	sn → s	ORG
ejpam-3283	353	1	1	CARDINAL
ejpam-3283	354	1	4	CARDINAL
ejpam-3283	354	2	8	CARDINAL
ejpam-3283	354	3	9	CARDINAL
ejpam-3283	355	1	zero	CARDINAL
ejpam-3283	355	2	6=	CARDINAL
ejpam-3283	355	3	0	CARDINAL
ejpam-3283	355	4	r. chinram	PERSON
ejpam-3283	356	1	j. pure	PERSON
ejpam-3283	356	2	11	CARDINAL
ejpam-3283	356	3	3	CARDINAL
ejpam-3283	356	4	2018	DATE
ejpam-3283	356	5	762	CARDINAL
ejpam-3283	356	6	1	CARDINAL
ejpam-3283	356	7	0-n	QUANTITY
ejpam-3283	357	1	2	CARDINAL
ejpam-3283	358	1	6=	CARDINAL
ejpam-3283	358	2	∈	ORG
ejpam-3283	358	3	3	CARDINAL
ejpam-3283	358	4	∈	ORG
ejpam-3283	358	5	f(a	ORG
ejpam-3283	358	6	⊆	CARDINAL
ejpam-3283	358	7	s. (4	ORG
ejpam-3283	358	8	∈	ORG
ejpam-3283	358	9	s. proof	ORG
ejpam-3283	359	1	8	CARDINAL
ejpam-3283	359	2	6	CARDINAL
ejpam-3283	360	1	0-n	QUANTITY
ejpam-3283	361	1	0-n	QUANTITY
ejpam-3283	361	2	0-minimal n	QUANTITY
ejpam-3283	361	3	2	CARDINAL
ejpam-3283	361	4	3	CARDINAL
ejpam-3283	363	1	1	CARDINAL
ejpam-3283	363	2	1	CARDINAL
ejpam-3283	363	3	0-1simple	DATE
ejpam-3283	363	4	1	CARDINAL
ejpam-3283	363	5	0-minimal 1	QUANTITY
ejpam-3283	363	6	1	CARDINAL
ejpam-3283	363	7	2	CARDINAL
ejpam-3283	364	1	1	CARDINAL
ejpam-3283	364	2	1simple	CARDINAL
ejpam-3283	364	3	0	CARDINAL
ejpam-3283	364	4	1	CARDINAL
ejpam-3283	364	5	0-minimal 1	QUANTITY
ejpam-3283	364	6	1	CARDINAL
ejpam-3283	364	7	0-n	QUANTITY
ejpam-3283	364	8	0-minimal n	QUANTITY
ejpam-3283	366	1	3	CARDINAL
ejpam-3283	367	1	2	CARDINAL
ejpam-3283	367	2	3	CARDINAL
ejpam-3283	368	1	1 <	QUANTITY
ejpam-3283	369	1	second	ORDINAL
ejpam-3283	370	1	773	CARDINAL
ejpam-3283	370	2	1	CARDINAL
ejpam-3283	370	3	n kehayopulu	PERSON
ejpam-3283	372	1	lobachevskii journal of mathematics	ORG
ejpam-3283	372	2	11:3–6, 2002	DATE
ejpam-3283	373	1	2	CARDINAL
ejpam-3283	373	2	x xu	PERSON
ejpam-3283	375	1	semigroup	PERSON
ejpam-3283	375	2	60:202–207, 2000	DATE
ejpam-3283	376	1	3	CARDINAL
ejpam-3283	378	1	matematichki bilten	PERSON
ejpam-3283	378	2	4:25–44, 1980	DATE
ejpam-3283	379	1	4	CARDINAL
ejpam-3283	379	2	dudek	NORP
ejpam-3283	381	1	demonstratio mathematica	PERSON
ejpam-3283	381	2	13	CARDINAL
ejpam-3283	381	3	165–181	CARDINAL
ejpam-3283	381	4	1980	DATE
ejpam-3283	382	1	5	CARDINAL
ejpam-3283	382	2	dudek	NORP
ejpam-3283	384	1	annales societatis mathematicae polonae	ORG
ejpam-3283	384	2	commentationes mathematicae	PERSON
ejpam-3283	384	3	23:1–11, 1983	ORG
ejpam-3283	385	1	6	CARDINAL
ejpam-3283	385	2	dudek	NORP
ejpam-3283	387	1	ricerche di matematica	PERSON
ejpam-3283	387	2	35:105–111, 1986	DATE
ejpam-3283	388	1	7	CARDINAL
ejpam-3283	388	2	dudek	NORP
ejpam-3283	389	1	southeast asian	NORP
ejpam-3283	389	2	25:97–104, 2011	DATE
ejpam-3283	390	1	8	CARDINAL
ejpam-3283	391	1	automorphisms	PERSON
ejpam-3283	392	1	16:208–219, 1969	DATE
ejpam-3283	393	1	9	CARDINAL
ejpam-3283	395	1	contemporary mathematical sciences	ORG
ejpam-3283	395	2	5:2409–2417	DATE
ejpam-3283	395	3	2010	DATE
ejpam-3283	396	1	10	CARDINAL
ejpam-3283	398	1	american	NORP
ejpam-3283	398	2	10:290–291	CARDINAL
ejpam-3283	398	3	1904	DATE
ejpam-3283	399	1	11	CARDINAL
ejpam-3283	400	1	generalized hamiltonian	ORG
ejpam-3283	401	1	d7:2405	ORG
ejpam-3283	401	2	2412, 1973	DATE
ejpam-3283	402	1	12	CARDINAL
ejpam-3283	402	2	sioson	PERSON
ejpam-3283	404	1	the japan academy	ORG
ejpam-3283	404	2	286	CARDINAL
ejpam-3283	404	3	1963	DATE
ejpam-3283	405	1	13	CARDINAL
ejpam-3283	405	2	j p solano	PERSON
ejpam-3283	407	1	13:179-186	CARDINAL
ejpam-3283	407	2	2018	DATE
ejpam-3283	408	1	14	CARDINAL
ejpam-3283	408	2	kerner	PERSON
ejpam-3283	409	1	n-algebras	NORP
ejpam-3283	410	1	journal of mathematical physics	ORG
ejpam-3283	410	2	37:2553–2565, 1996	DATE
ejpam-3283	411	1	15	CARDINAL
ejpam-3283	411	2	zhou	PERSON
ejpam-3283	411	3	j zhan	PERSON
ejpam-3283	413	1	italian	NORP
ejpam-3283	413	2	37:583–594	CARDINAL
ejpam-3283	413	3	2017	DATE