id	sid	eid	entity	type
ejpam-5511	1	1	european journal	ORG
ejpam-5511	2	1	17	CARDINAL
ejpam-5511	2	2	4	CARDINAL
ejpam-5511	2	3	2024	DATE
ejpam-5511	2	4	4180-4194	CARDINAL
ejpam-5511	2	5	new york	GPE
ejpam-5511	2	6	luangchaisri1	PERSON
ejpam-5511	2	7	1	CARDINAL
ejpam-5511	2	8	kaen university	ORG
ejpam-5511	2	9	kaen 40002	PERSON
ejpam-5511	2	10	thailand	GPE
ejpam-5511	4	1	multiplicative	NORP
ejpam-5511	10	1	η	ORG
ejpam-5511	11	1	2020	DATE
ejpam-5511	11	2	20m12	CARDINAL
ejpam-5511	11	3	06f99	DATE
ejpam-5511	11	4	06a06	DATE
ejpam-5511	11	5	06a12	CARDINAL
ejpam-5511	12	1	1	CARDINAL
ejpam-5511	12	2	y ⇔	PERSON
ejpam-5511	12	3	w. c. nemitz	PERSON
ejpam-5511	12	4	13	CARDINAL
ejpam-5511	13	1	t. s. blyth	PERSON
ejpam-5511	13	2	1	CARDINAL
ejpam-5511	14	1	blyth	GPE
ejpam-5511	14	2	1	CARDINAL
ejpam-5511	14	3	m. f. janowitz	PERSON
ejpam-5511	14	4	c. s. johnson jr	PERSON
ejpam-5511	14	5	9	CARDINAL
ejpam-5511	15	1	10	CARDINAL
ejpam-5511	15	2	y. b. jun	PERSON
ejpam-5511	16	1	https://doi.org/10.29020/nybg.ejpam.v17i4.5511	GPE
ejpam-5511	16	2	kansada.n@kkumail.com	PERSON
ejpam-5511	16	3	k. nakwan	PERSON
ejpam-5511	16	4	4180	CARDINAL
ejpam-5511	17	1	2024	CARDINAL
ejpam-5511	18	1	k. nakwan	PERSON
ejpam-5511	18	2	t. changphas	ORG
ejpam-5511	19	1	j. pure	PERSON
ejpam-5511	19	2	17	CARDINAL
ejpam-5511	19	3	4	CARDINAL
ejpam-5511	19	4	2024	CARDINAL
ejpam-5511	19	5	4180-4194 4181	QUANTITY
ejpam-5511	21	1	14	CARDINAL
ejpam-5511	21	2	d. a. romano	PERSON
ejpam-5511	22	1	6	CARDINAL
ejpam-5511	26	1	semigroup	PERSON
ejpam-5511	26	2	y ⇔	PERSON
ejpam-5511	27	1	semigroup	PERSON
ejpam-5511	29	1	13	CARDINAL
ejpam-5511	30	1	1	CARDINAL
ejpam-5511	30	2	2	CARDINAL
ejpam-5511	30	3	m. w. chan	PERSON
ejpam-5511	30	4	k. p. shum	PERSON
ejpam-5511	35	1	∈	ORG
ejpam-5511	36	1	s. banach	PERSON
ejpam-5511	37	1	j. los	PERSON
ejpam-5511	38	1	12	CARDINAL
ejpam-5511	39	1	d. h. lehmer	ORG
ejpam-5511	39	2	11	CARDINAL
ejpam-5511	40	1	j. los	PERSON
ejpam-5511	40	2	12	CARDINAL
ejpam-5511	41	1	f. m. sioson	PERSON
ejpam-5511	41	2	17	CARDINAL
ejpam-5511	42	1	a. chronowski	PERSON
ejpam-5511	42	2	3	CARDINAL
ejpam-5511	42	3	ternary algebras	ORG
ejpam-5511	43	1	v. n. dixit	PERSON
ejpam-5511	43	2	s. dewan	PERSON
ejpam-5511	43	3	5	CARDINAL
ejpam-5511	45	1	m. l. santiago	PERSON
ejpam-5511	45	2	s. sri bala	PERSON
ejpam-5511	45	3	15	CARDINAL
ejpam-5511	49	1	a. iampan	PERSON
ejpam-5511	49	2	7	CARDINAL
ejpam-5511	50	1	8	CARDINAL
ejpam-5511	51	1	r. daddi	PERSON
ejpam-5511	51	2	y. s. pawar	PERSON
ejpam-5511	51	3	4	CARDINAL
ejpam-5511	54	1	2	CARDINAL
ejpam-5511	61	1	k. nakwan	PERSON
ejpam-5511	61	2	t. changphas	ORG
ejpam-5511	62	1	j. pure	PERSON
ejpam-5511	62	2	17	CARDINAL
ejpam-5511	62	3	4	CARDINAL
ejpam-5511	62	4	2024	CARDINAL
ejpam-5511	62	5	4180-4194	CARDINAL
ejpam-5511	64	1	1	CARDINAL
ejpam-5511	66	1	∈	ORG
ejpam-5511	66	2	1	CARDINAL
ejpam-5511	69	1	2	CARDINAL
ejpam-5511	72	1	3	CARDINAL
ejpam-5511	73	1	2	CARDINAL
ejpam-5511	75	1	u ≤	ORG
ejpam-5511	76	1	∈	ORG
ejpam-5511	79	1	1	CARDINAL
ejpam-5511	79	2	11x	CARDINAL
ejpam-5511	80	1	1x1	CARDINAL
ejpam-5511	81	1	∈	ORG
ejpam-5511	84	1	1	CARDINAL
ejpam-5511	85	1	1	CARDINAL
ejpam-5511	87	1	1	CARDINAL
ejpam-5511	87	2	0	CARDINAL
ejpam-5511	87	3	1a	CARDINAL
ejpam-5511	87	4	10	CARDINAL
ejpam-5511	88	1	1	CARDINAL
ejpam-5511	88	2	0	CARDINAL
ejpam-5511	88	3	0	CARDINAL
ejpam-5511	88	4	0	CARDINAL
ejpam-5511	88	5	0	CARDINAL
ejpam-5511	89	1	1	CARDINAL
ejpam-5511	89	2	0	CARDINAL
ejpam-5511	89	3	0	CARDINAL
ejpam-5511	89	4	0a	CARDINAL
ejpam-5511	90	1	0	CARDINAL
ejpam-5511	90	2	∗ 1	DATE
ejpam-5511	90	3	0	CARDINAL
ejpam-5511	90	4	∗ 1	DATE
ejpam-5511	90	5	0	CARDINAL
ejpam-5511	90	6	0	CARDINAL
ejpam-5511	90	7	0	DATE
ejpam-5511	90	8	1	CARDINAL
ejpam-5511	90	9	1	CARDINAL
ejpam-5511	90	10	1	CARDINAL
ejpam-5511	90	11	0	CARDINAL
ejpam-5511	90	12	0	CARDINAL
ejpam-5511	90	13	1	CARDINAL
ejpam-5511	92	1	first	ORDINAL
ejpam-5511	92	2	x3	PERSON
ejpam-5511	92	3	the first row	DATE
ejpam-5511	93	1	1	CARDINAL
ejpam-5511	94	1	1	CARDINAL
ejpam-5511	94	2	11a	CARDINAL
ejpam-5511	94	3	a. k. nakwan	PERSON
ejpam-5511	94	4	t. changphas	ORG
ejpam-5511	95	1	j. pure	PERSON
ejpam-5511	95	2	17	CARDINAL
ejpam-5511	95	3	4	CARDINAL
ejpam-5511	95	4	2024	CARDINAL
ejpam-5511	95	5	4180-4194	CARDINAL
ejpam-5511	95	6	4183	DATE
ejpam-5511	99	1	2	CARDINAL
ejpam-5511	99	2	0	CARDINAL
ejpam-5511	99	3	1	DATE
ejpam-5511	101	1	1	CARDINAL
ejpam-5511	101	2	0 11 1	CARDINAL
ejpam-5511	101	3	0 1a	CARDINAL
ejpam-5511	101	4	0	CARDINAL
ejpam-5511	101	5	1b	CARDINAL
ejpam-5511	101	6	0	CARDINAL
ejpam-5511	101	7	0	CARDINAL
ejpam-5511	102	1	1	CARDINAL
ejpam-5511	102	2	0	CARDINAL
ejpam-5511	102	3	0	CARDINAL
ejpam-5511	102	4	0	CARDINAL
ejpam-5511	103	1	0	CARDINAL
ejpam-5511	103	2	0	CARDINAL
ejpam-5511	104	1	1	CARDINAL
ejpam-5511	104	2	0	CARDINAL
ejpam-5511	104	3	0	CARDINAL
ejpam-5511	104	4	0	CARDINAL
ejpam-5511	104	5	0	CARDINAL
ejpam-5511	104	6	0	CARDINAL
ejpam-5511	105	1	1	CARDINAL
ejpam-5511	105	2	0	CARDINAL
ejpam-5511	105	3	0	CARDINAL
ejpam-5511	105	4	0a	CARDINAL
ejpam-5511	105	5	0b	CARDINAL
ejpam-5511	105	6	0	CARDINAL
ejpam-5511	105	7	0	DATE
ejpam-5511	105	8	1	CARDINAL
ejpam-5511	105	9	1	CARDINAL
ejpam-5511	105	10	0	CARDINAL
ejpam-5511	105	11	0	CARDINAL
ejpam-5511	105	12	0	CARDINAL
ejpam-5511	105	13	1	CARDINAL
ejpam-5511	105	14	1	CARDINAL
ejpam-5511	105	15	1	CARDINAL
ejpam-5511	106	1	1	CARDINAL
ejpam-5511	111	1	1ab]∗	CARDINAL
ejpam-5511	112	1	1ab]∗	CARDINAL
ejpam-5511	112	2	0 ≤	CARDINAL
ejpam-5511	113	1	0 ≤	CARDINAL
ejpam-5511	115	1	1ab]∗	CARDINAL
ejpam-5511	115	2	1	CARDINAL
ejpam-5511	117	1	1ab]∗	CARDINAL
ejpam-5511	117	2	11a	CARDINAL
ejpam-5511	120	1	16	CARDINAL
ejpam-5511	124	1	zyx	ORG
ejpam-5511	127	1	1	CARDINAL
ejpam-5511	129	1	3	CARDINAL
ejpam-5511	130	1	z+	ORG
ejpam-5511	131	1	z+	ORG
ejpam-5511	131	2	z+	ORG
ejpam-5511	131	3	z+	ORG
ejpam-5511	132	1	1	CARDINAL
ejpam-5511	133	1	z+	ORG
ejpam-5511	136	1	xuv = q(yuv	PERSON
ejpam-5511	136	2	yuv |xuv	ORG
ejpam-5511	146	1	1	CARDINAL
ejpam-5511	147	1	1	CARDINAL
ejpam-5511	148	1	z+	ORG
ejpam-5511	148	2	xyz]∗	ORG
ejpam-5511	148	3	k. nakwan	PERSON
ejpam-5511	148	4	t. changphas	ORG
ejpam-5511	149	1	j. pure	PERSON
ejpam-5511	149	2	17	CARDINAL
ejpam-5511	149	3	4	CARDINAL
ejpam-5511	149	4	2024	CARDINAL
ejpam-5511	149	5	4180-4194 4184	CARDINAL
ejpam-5511	151	1	1	CARDINAL
ejpam-5511	153	1	zd	ORG
ejpam-5511	154	1	z.	PERSON
ejpam-5511	158	1	1	CARDINAL
ejpam-5511	162	1	xxx]∗	ORG
ejpam-5511	162	2	2	CARDINAL
ejpam-5511	163	1	yyy]∗	PERSON
ejpam-5511	163	2	3	CARDINAL
ejpam-5511	163	3	xxx]∗	ORG
ejpam-5511	166	1	xxx]∗	ORG
ejpam-5511	166	2	1	CARDINAL
ejpam-5511	169	1	xxx]∗.	ORG
ejpam-5511	169	2	2	CARDINAL
ejpam-5511	172	1	xxx]∗	ORG
ejpam-5511	172	2	3	CARDINAL
ejpam-5511	173	1	1	CARDINAL
ejpam-5511	175	1	1	CARDINAL
ejpam-5511	175	2	multiplicative	NORP
ejpam-5511	175	3	1	CARDINAL
ejpam-5511	175	4	1	CARDINAL
ejpam-5511	175	5	∈	ORG
ejpam-5511	176	1	∈	ORG
ejpam-5511	177	1	1	CARDINAL
ejpam-5511	177	2	1	CARDINAL
ejpam-5511	178	1	1	CARDINAL
ejpam-5511	178	2	1	CARDINAL
ejpam-5511	178	3	1	CARDINAL
ejpam-5511	179	1	1	CARDINAL
ejpam-5511	180	1	1	CARDINAL
ejpam-5511	181	1	1	CARDINAL
ejpam-5511	181	2	multiplicative	NORP
ejpam-5511	184	1	2	CARDINAL
ejpam-5511	187	1	∈	ORG
ejpam-5511	187	2	1	CARDINAL
ejpam-5511	187	3	1	CARDINAL
ejpam-5511	188	1	11x]∗	CARDINAL
ejpam-5511	188	2	2	CARDINAL
ejpam-5511	189	1	3	CARDINAL
ejpam-5511	190	1	4	CARDINAL
ejpam-5511	191	1	5	CARDINAL
ejpam-5511	192	1	xuv]∗	PERSON
ejpam-5511	193	1	uvy]∗	ORG
ejpam-5511	193	2	6	CARDINAL
ejpam-5511	193	3	y ⇔	PERSON
ejpam-5511	193	4	1 ⇔	CARDINAL
ejpam-5511	193	5	1xy]∗	CARDINAL
ejpam-5511	193	6	1	CARDINAL
ejpam-5511	193	7	7	CARDINAL
ejpam-5511	196	1	x[yzu]v]∗. k. nakwan	PERSON
ejpam-5511	196	2	t. changphas	ORG
ejpam-5511	197	1	j. pure	PERSON
ejpam-5511	197	2	17	CARDINAL
ejpam-5511	197	3	4	CARDINAL
ejpam-5511	197	4	2024	CARDINAL
ejpam-5511	197	5	4180-4194 4185	CARDINAL
ejpam-5511	198	1	1	CARDINAL
ejpam-5511	198	2	1	CARDINAL
ejpam-5511	200	1	11x]∗.	CARDINAL
ejpam-5511	200	2	11x]∗ ≤	QUANTITY
ejpam-5511	201	1	11x]∗11	CARDINAL
ejpam-5511	201	2	2	CARDINAL
ejpam-5511	202	1	3	CARDINAL
ejpam-5511	202	2	2	CARDINAL
ejpam-5511	203	1	4	CARDINAL
ejpam-5511	203	2	5	CARDINAL
ejpam-5511	208	1	6	CARDINAL
ejpam-5511	209	1	11y	DATE
ejpam-5511	210	1	1 ≤	QUANTITY
ejpam-5511	211	1	x1y]∗ ≤ 1	DATE
ejpam-5511	212	1	1	CARDINAL
ejpam-5511	212	2	1	CARDINAL
ejpam-5511	212	3	1xy]∗	CARDINAL
ejpam-5511	212	4	1	CARDINAL
ejpam-5511	213	1	1xy]∗	CARDINAL
ejpam-5511	213	2	1	CARDINAL
ejpam-5511	213	3	1 ≤	QUANTITY
ejpam-5511	214	1	1xy]∗	CARDINAL
ejpam-5511	214	2	11x	CARDINAL
ejpam-5511	215	1	xy[zuv]∗]∗	PERSON
ejpam-5511	225	1	xy[zuv]∗]∗	PERSON
ejpam-5511	229	1	w.	PERSON
ejpam-5511	232	1	w. 3	PERSON
ejpam-5511	234	1	3	CARDINAL
ejpam-5511	235	1	1,≤1	CARDINAL
ejpam-5511	235	2	2,≤2	DATE
ejpam-5511	237	1	φ	ORG
ejpam-5511	241	1	4	CARDINAL
ejpam-5511	244	1	1	CARDINAL
ejpam-5511	244	2	∈	ORG
ejpam-5511	244	3	2	CARDINAL
ejpam-5511	246	1	4	CARDINAL
ejpam-5511	247	1	1	CARDINAL
ejpam-5511	249	1	k. nakwan	PERSON
ejpam-5511	249	2	t. changphas	ORG
ejpam-5511	250	1	j. pure	PERSON
ejpam-5511	250	2	17	CARDINAL
ejpam-5511	250	3	4	CARDINAL
ejpam-5511	250	4	2024	CARDINAL
ejpam-5511	250	5	4180-4194 4186	DATE
ejpam-5511	250	6	1	CARDINAL
ejpam-5511	250	7	11 1	CARDINAL
ejpam-5511	251	1	1a	CARDINAL
ejpam-5511	251	2	1b	CARDINAL
ejpam-5511	251	3	1	CARDINAL
ejpam-5511	256	1	1	CARDINAL
ejpam-5511	260	1	1	CARDINAL
ejpam-5511	265	1	1	CARDINAL
ejpam-5511	270	1	1	CARDINAL
ejpam-5511	270	2	1	CARDINAL
ejpam-5511	270	3	1	CARDINAL
ejpam-5511	270	4	1	CARDINAL
ejpam-5511	270	5	1	CARDINAL
ejpam-5511	270	6	1	CARDINAL
ejpam-5511	271	1	1	CARDINAL
ejpam-5511	272	1	1	CARDINAL
ejpam-5511	272	2	1	CARDINAL
ejpam-5511	272	3	1	CARDINAL
ejpam-5511	272	4	f4	CARDINAL
ejpam-5511	272	5	1	CARDINAL
ejpam-5511	272	6	1	CARDINAL
ejpam-5511	274	1	3	CARDINAL
ejpam-5511	275	1	1,≤1	CARDINAL
ejpam-5511	275	2	2,≤2	DATE
ejpam-5511	278	1	1	CARDINAL
ejpam-5511	279	1	1′	DATE
ejpam-5511	279	2	1 and 1′	CARDINAL
ejpam-5511	279	3	2	CARDINAL
ejpam-5511	279	4	3	CARDINAL
ejpam-5511	280	1	4	CARDINAL
ejpam-5511	280	2	φ	GPE
ejpam-5511	281	1	5	CARDINAL
ejpam-5511	281	2	1	CARDINAL
ejpam-5511	282	1	k. nakwan	PERSON
ejpam-5511	282	2	t. changphas	ORG
ejpam-5511	283	1	j. pure	PERSON
ejpam-5511	283	2	17	CARDINAL
ejpam-5511	283	3	4	CARDINAL
ejpam-5511	283	4	2024	CARDINAL
ejpam-5511	283	5	4180-4194 4187 proof	QUANTITY
ejpam-5511	284	1	1	CARDINAL
ejpam-5511	284	2	2	CARDINAL
ejpam-5511	284	3	1	CARDINAL
ejpam-5511	284	4	1	CARDINAL
ejpam-5511	285	1	111]∗1	CARDINAL
ejpam-5511	286	1	φ(1	ORG
ejpam-5511	287	1	φ(1)φ(1)φ(1)]∗2	ORG
ejpam-5511	287	2	1′.	CARDINAL
ejpam-5511	287	3	2	CARDINAL
ejpam-5511	287	4	≤1	PERSON
ejpam-5511	287	5	2	CARDINAL
ejpam-5511	287	6	6	CARDINAL
ejpam-5511	288	1	x1y]∗1	DATE
ejpam-5511	288	2	1	CARDINAL
ejpam-5511	290	1	φ(x)φ(1)φ(y)]∗2	NORP
ejpam-5511	290	2	1′.	CARDINAL
ejpam-5511	290	3	2	CARDINAL
ejpam-5511	290	4	6	CARDINAL
ejpam-5511	291	1	3	CARDINAL
ejpam-5511	293	1	φ	PERSON
ejpam-5511	294	1	2	CARDINAL
ejpam-5511	295	1	2	CARDINAL
ejpam-5511	297	1	1′.	DATE
ejpam-5511	297	2	2	CARDINAL
ejpam-5511	297	3	6	CARDINAL
ejpam-5511	299	1	∗ 1	DATE
ejpam-5511	300	1	2	CARDINAL
ejpam-5511	301	1	2	CARDINAL
ejpam-5511	305	1	4	CARDINAL
ejpam-5511	305	2	∈	ORG
ejpam-5511	306	1	1′.	CARDINAL
ejpam-5511	306	2	3	CARDINAL
ejpam-5511	307	1	1′1′1′]2	CARDINAL
ejpam-5511	307	2	1′.	CARDINAL
ejpam-5511	307	3	≤1	PERSON
ejpam-5511	308	1	1′	CARDINAL
ejpam-5511	309	1	φ(x)φ(1)φ(y)]∗2	NORP
ejpam-5511	310	1	1′1′φ(y)]∗2	CARDINAL
ejpam-5511	310	2	φ(y	ORG
ejpam-5511	310	3	∈	ORG
ejpam-5511	312	1	5	CARDINAL
ejpam-5511	312	2	1	CARDINAL
ejpam-5511	315	1	φ(x)φ(1)φ(y)]∗2	NORP
ejpam-5511	316	1	1′.	DATE
ejpam-5511	316	2	x1y]∗1	DATE
ejpam-5511	316	3	1	CARDINAL
ejpam-5511	316	4	2	CARDINAL
ejpam-5511	316	5	6	CARDINAL
ejpam-5511	316	6	1	CARDINAL
ejpam-5511	316	7	φ	ORG
ejpam-5511	317	1	∈	ORG
ejpam-5511	317	2	1′	DATE
ejpam-5511	317	3	1	CARDINAL
ejpam-5511	318	1	1	CARDINAL
ejpam-5511	319	1	k. nakwan	PERSON
ejpam-5511	319	2	t. changphas	ORG
ejpam-5511	320	1	j. pure	PERSON
ejpam-5511	320	2	17	CARDINAL
ejpam-5511	320	3	4	CARDINAL
ejpam-5511	320	4	2024	CARDINAL
ejpam-5511	320	5	4180-4194 4188	PERCENT
ejpam-5511	320	6	commutative implicative n.p.o	ORG
ejpam-5511	321	1	ternary semigroups hereafter	ORG
ejpam-5511	323	1	1	CARDINAL
ejpam-5511	325	1	1	CARDINAL
ejpam-5511	327	1	1	CARDINAL
ejpam-5511	329	1	∈	ORG
ejpam-5511	333	1	5	CARDINAL
ejpam-5511	336	1	xρf y ⇔	PERSON
ejpam-5511	338	1	1	CARDINAL
ejpam-5511	343	1	∈	ORG
ejpam-5511	344	1	11x	CARDINAL
ejpam-5511	347	1	yρf z.	PERSON
ejpam-5511	348	1	∈	ORG
ejpam-5511	358	1	xρf z. therefore	PERSON
ejpam-5511	359	1	∈	ORG
ejpam-5511	371	1	∈	ORG
ejpam-5511	373	1	∈	ORG
ejpam-5511	396	1	∈	ORG
ejpam-5511	396	2	b. k. nakwan	PERSON
ejpam-5511	396	3	t. changphas	ORG
ejpam-5511	397	1	j. pure	PERSON
ejpam-5511	397	2	17	CARDINAL
ejpam-5511	397	3	4	CARDINAL
ejpam-5511	397	4	2024	CARDINAL
ejpam-5511	397	5	4180-4194	CARDINAL
ejpam-5511	397	6	2	CARDINAL
ejpam-5511	402	1	x′	CARDINAL
ejpam-5511	402	2	1 ∈	CARDINAL
ejpam-5511	402	3	11x′	CARDINAL
ejpam-5511	418	1	x′	CARDINAL
ejpam-5511	420	1	z′ ∈	PERSON
ejpam-5511	422	1	c3	PERSON
ejpam-5511	422	2	d3, c4	ORG
ejpam-5511	422	3	∈	ORG
ejpam-5511	424	1	c3d3[c4d4x	ORG
ejpam-5511	431	1	3	CARDINAL
ejpam-5511	439	1	lemma 2, ⪯	ORG
ejpam-5511	441	1	∈	ORG
ejpam-5511	443	1	yuv]]ρf	ORG
ejpam-5511	445	1	∈	ORG
ejpam-5511	449	1	c1d1[xuv	NORP
ejpam-5511	452	1	yuv]]ρf	ORG
ejpam-5511	474	1	a′	ORG
ejpam-5511	480	1	xρf b ′	ORG
ejpam-5511	482	1	k. nakwan	PERSON
ejpam-5511	482	2	t. changphas	ORG
ejpam-5511	483	1	j. pure	PERSON
ejpam-5511	483	2	17	CARDINAL
ejpam-5511	483	3	4	CARDINAL
ejpam-5511	483	4	2024	CARDINAL
ejpam-5511	483	5	4180-4194	CARDINAL
ejpam-5511	501	1	4	CARDINAL
ejpam-5511	510	1	first	ORDINAL
ejpam-5511	512	1	x′]ρf	ORG
ejpam-5511	512	2	y′]ρf	ORG
ejpam-5511	512	3	z′]ρf ∈	ORG
ejpam-5511	514	1	x′]ρf	ORG
ejpam-5511	515	1	z′]ρf	ORG
ejpam-5511	516	1	d2, c3	PERSON
ejpam-5511	517	1	xyz]∗	ORG
ejpam-5511	517	2	u ≤	FAC
ejpam-5511	518	1	xyz]∗	ORG
ejpam-5511	524	1	∈	ORG
ejpam-5511	527	1	xyz]∗]ρf	PERSON
ejpam-5511	530	1	xyz]∗]ρf	PERSON
ejpam-5511	531	1	∈	ORG
ejpam-5511	532	1	∈	ORG
ejpam-5511	534	1	xyz]∗]ρf	PERSON
ejpam-5511	549	1	xyz]∗]ρf	PERSON
ejpam-5511	553	1	xyz]∗	ORG
ejpam-5511	554	1	xyz]∗]ρf	PERSON
ejpam-5511	556	1	xyz]∗]ρf	PERSON
ejpam-5511	557	1	d′ ∈	PERSON
ejpam-5511	559	1	c3	PERSON
ejpam-5511	562	1	∈	ORG
ejpam-5511	563	1	c4d4	ORG
ejpam-5511	563	2	z.	PERSON
ejpam-5511	565	1	k. nakwan	PERSON
ejpam-5511	565	2	t. changphas	ORG
ejpam-5511	566	1	j. pure	PERSON
ejpam-5511	566	2	17	CARDINAL
ejpam-5511	566	3	4	CARDINAL
ejpam-5511	566	4	2024	CARDINAL
ejpam-5511	566	5	4180-4194	CARDINAL
ejpam-5511	572	1	lemma 4	ORG
ejpam-5511	572	2	η	ORG
ejpam-5511	572	3	7→	CARDINAL
ejpam-5511	574	1	6	CARDINAL
ejpam-5511	576	1	t1	ORG
ejpam-5511	576	2	1,≤1	CARDINAL
ejpam-5511	577	1	2,≤2	DATE
ejpam-5511	578	1	φ	ORG
ejpam-5511	578	2	1′	DATE
ejpam-5511	578	3	1 and 1′	CARDINAL
ejpam-5511	579	1	1	CARDINAL
ejpam-5511	579	2	3	CARDINAL
ejpam-5511	580	1	5	CARDINAL
ejpam-5511	584	1	η	PERSON
ejpam-5511	586	1	∈	ORG
ejpam-5511	586	2	η([xyz]∗	ORG
ejpam-5511	589	1	η([z]ρf	PERSON
ejpam-5511	590	1	4	CARDINAL
ejpam-5511	591	1	1,≤1	CARDINAL
ejpam-5511	591	2	2,≤2	DATE
ejpam-5511	591	3	two	CARDINAL
ejpam-5511	592	1	1	CARDINAL
ejpam-5511	594	1	t1	ORG
ejpam-5511	594	2	1,≤1	CARDINAL
ejpam-5511	594	3	2,≤2	DATE
ejpam-5511	594	4	φ η	PERSON
ejpam-5511	594	5	k. nakwan	PERSON
ejpam-5511	594	6	t. changphas	ORG
ejpam-5511	595	1	j. pure	PERSON
ejpam-5511	595	2	17	CARDINAL
ejpam-5511	595	3	4	CARDINAL
ejpam-5511	595	4	2024	CARDINAL
ejpam-5511	595	5	4180-4194 4192	CARDINAL
ejpam-5511	596	1	ker η = φ−1(1′	PERSON
ejpam-5511	596	2	2,≤2	DATE
ejpam-5511	603	1	∈	ORG
ejpam-5511	604	1	≤1	PERSON
ejpam-5511	604	2	3	CARDINAL
ejpam-5511	605	1	∈	ORG
ejpam-5511	606	1	1′.	DATE
ejpam-5511	607	1	1′1′φ(x)]2	CARDINAL
ejpam-5511	608	1	1′1′φ(y)]2	CARDINAL
ejpam-5511	608	2	φ(y	ORG
ejpam-5511	611	1	ψ([[[x]ρf	DATE
ejpam-5511	613	1	∈	ORG
ejpam-5511	613	2	φ	ORG
ejpam-5511	613	3	φ(s	GPE
ejpam-5511	616	1	φ(s	GPE
ejpam-5511	617	1	η(s	PERSON
ejpam-5511	618	1	φ(s	GPE
ejpam-5511	620	1	ker η = φ−1(1′	PERSON
ejpam-5511	621	1	one	CARDINAL
ejpam-5511	623	1	2	CARDINAL
ejpam-5511	623	2	6	CARDINAL
ejpam-5511	624	1	1′φ(x)φ(x)]∗2	CARDINAL
ejpam-5511	624	2	1′.	CARDINAL
ejpam-5511	624	3	1xy]∗1	CARDINAL
ejpam-5511	624	4	∈	ORG
ejpam-5511	624	5	ker η	PERSON
ejpam-5511	624	6	1yx]∗1	CARDINAL
ejpam-5511	624	7	ker η	PERSON
ejpam-5511	624	8	η	PERSON
ejpam-5511	625	1	1xy]∗1	CARDINAL
ejpam-5511	625	2	1yx]∗1	CARDINAL
ejpam-5511	626	1	1xy]∗1	CARDINAL
ejpam-5511	626	2	1yx]∗1	CARDINAL
ejpam-5511	627	1	1xy]∗1	CARDINAL
ejpam-5511	627	2	1yx]∗1	CARDINAL
ejpam-5511	630	1	c1x]1d1]1 ≤1	PERSON
ejpam-5511	636	1	one	CARDINAL
ejpam-5511	637	1	4193 5	DATE
ejpam-5511	639	1	1	CARDINAL
ejpam-5511	639	2	2	CARDINAL
ejpam-5511	644	1	1	CARDINAL
ejpam-5511	644	2	multiplicative	NORP
ejpam-5511	645	1	two	CARDINAL
ejpam-5511	646	1	3	CARDINAL
ejpam-5511	647	1	3	CARDINAL
ejpam-5511	650	1	4	CARDINAL
ejpam-5511	650	2	khon kaen university	ORG
ejpam-5511	652	1	1	CARDINAL
ejpam-5511	652	2	t. s. blyth	PERSON
ejpam-5511	654	1	london	GPE
ejpam-5511	654	2	1(1):441–454	CARDINAL
ejpam-5511	654	3	1965	DATE
ejpam-5511	655	1	2	CARDINAL
ejpam-5511	655	2	m. w. chan	PERSON
ejpam-5511	655	3	k. p. shum	PERSON
ejpam-5511	657	1	46	CARDINAL
ejpam-5511	658	1	1993	DATE
ejpam-5511	659	1	3	CARDINAL
ejpam-5511	661	1	demonstratio mathematica	PERSON
ejpam-5511	661	2	27(34):781–792, 1994	DATE
ejpam-5511	662	1	4	CARDINAL
ejpam-5511	662	2	r. daddi	PERSON
ejpam-5511	662	3	y. s. pawar	PERSON
ejpam-5511	664	1	kyungpook mathematical journal	ORG
ejpam-5511	664	2	52(4):375–381	CARDINAL
ejpam-5511	664	3	2012	DATE
ejpam-5511	665	1	5	CARDINAL
ejpam-5511	665	2	n. dixit	PERSON
ejpam-5511	665	3	s. dewan	PERSON
ejpam-5511	667	1	18(3):501–508, 1995	DATE
ejpam-5511	668	1	6	CARDINAL
ejpam-5511	668	2	l. fuchs	PERSON
ejpam-5511	669	1	algebraic systems	ORG
ejpam-5511	670	1	2014	DATE
ejpam-5511	671	1	7	CARDINAL
ejpam-5511	671	2	a. iampan	PERSON
ejpam-5511	673	1	the korean mathematical society	ORG
ejpam-5511	673	2	46(4):775	DATE
ejpam-5511	673	3	784	CARDINAL
ejpam-5511	673	4	2009	DATE
ejpam-5511	674	1	8	CARDINAL
ejpam-5511	674	2	a. iampan	PERSON
ejpam-5511	676	1	lobachevskii journal	ORG
ejpam-5511	676	2	31:13–17	CARDINAL
ejpam-5511	676	3	2010	DATE
ejpam-5511	677	1	4194	CARDINAL
ejpam-5511	678	1	9	CARDINAL
ejpam-5511	678	2	m. f. janowitz	PERSON
ejpam-5511	678	3	c. s. johnson jr.	PERSON
ejpam-5511	680	1	london	GPE
ejpam-5511	680	2	2(1):733–736	CARDINAL
ejpam-5511	680	3	1969	DATE
ejpam-5511	681	1	10	CARDINAL
ejpam-5511	683	1	26(12):731–735, 2001	DATE
ejpam-5511	684	1	11	CARDINAL
ejpam-5511	684	2	d. h. lehmer	ORG
ejpam-5511	685	1	abelian	NORP
ejpam-5511	686	1	american journal of mathematics	ORG
ejpam-5511	686	2	54(2):329–338	DATE
ejpam-5511	686	3	1932	DATE
ejpam-5511	687	1	12	CARDINAL
ejpam-5511	687	2	j. loś.	PERSON
ejpam-5511	688	1	fundamenta mathematicae	PERSON
ejpam-5511	688	2	42:38–54	CARDINAL
ejpam-5511	688	3	1955	DATE
ejpam-5511	689	1	13	CARDINAL
ejpam-5511	689	2	w. c. nemitz	PERSON
ejpam-5511	691	1	american	NORP
ejpam-5511	691	2	1965	DATE
ejpam-5511	692	1	14	CARDINAL
ejpam-5511	692	2	d. a. romano	PERSON
ejpam-5511	694	1	sarajevo j. math	PERSON
ejpam-5511	694	2	12(2):155–165	CARDINAL
ejpam-5511	694	3	2016	DATE
ejpam-5511	695	1	15	CARDINAL
ejpam-5511	695	2	m. l. santiago	PERSON
ejpam-5511	695	3	s. sri bala	PERSON
ejpam-5511	697	1	81	CARDINAL
ejpam-5511	697	2	380–388	CARDINAL
ejpam-5511	697	3	2010	DATE
ejpam-5511	698	1	16	CARDINAL
ejpam-5511	698	2	a. anjaneyulu	PERSON
ejpam-5511	698	3	d. madhusudhana rao	PERSON
ejpam-5511	700	1	76:848–859	CARDINAL
ejpam-5511	700	2	2013	DATE
ejpam-5511	701	1	17	CARDINAL
ejpam-5511	701	2	f. m. sioson	PERSON
ejpam-5511	704	1	japon	GPE
ejpam-5511	704	2	10(84):63, 1965	DATE