id	sid	eid	entity	type
ejpam-5403	1	1	european journal	ORG
ejpam-5403	2	1	17	CARDINAL
ejpam-5403	2	2	4	CARDINAL
ejpam-5403	2	3	2024	DATE
ejpam-5403	2	4	3268	CARDINAL
ejpam-5403	2	5	new york	GPE
ejpam-5403	2	6	ananya	ORG
ejpam-5403	2	7	anantayasethi1,∗	PRODUCT
ejpam-5403	2	8	kunawat1	PERSON
ejpam-5403	2	9	moonnipa1 1	ORG
ejpam-5403	2	10	44150	DATE
ejpam-5403	2	11	thailand	GPE
ejpam-5403	6	1	abelian	NORP
ejpam-5403	7	1	2020	DATE
ejpam-5403	7	2	03g25	CARDINAL
ejpam-5403	7	3	06f35	DATE
ejpam-5403	7	4	20k01	DATE
ejpam-5403	7	5	a(x	PERSON
ejpam-5403	7	6	abelian	NORP
ejpam-5403	7	7	1	CARDINAL
ejpam-5403	7	8	1996	DATE
ejpam-5403	7	9	two	CARDINAL
ejpam-5403	7	10	japanese	NORP
ejpam-5403	7	11	y. imai	PERSON
ejpam-5403	7	12	k. iseki	PERSON
ejpam-5403	8	1	6	CARDINAL
ejpam-5403	9	1	the same year	DATE
ejpam-5403	9	2	k. iseki	PERSON
ejpam-5403	11	1	16	CARDINAL
ejpam-5403	14	1	bch	GPE
ejpam-5403	14	2	1983	DATE
ejpam-5403	14	3	q. p. hu	PERSON
ejpam-5403	15	1	x. li	PERSON
ejpam-5403	16	1	j. neggers et al	PERSON
ejpam-5403	16	2	qalgebra	ORG
ejpam-5403	18	1	2001	DATE
ejpam-5403	18	2	j. neggers et al	PERSON
ejpam-5403	19	1	9	CARDINAL
ejpam-5403	20	1	bch	GPE
ejpam-5403	21	1	9	CARDINAL
ejpam-5403	22	1	9	CARDINAL
ejpam-5403	24	1	∗corresponding	PERSON
ejpam-5403	25	1	a. anantayasethi	PERSON
ejpam-5403	25	2	64010213029@msu.ac.th	CARDINAL
ejpam-5403	25	3	t. kunawat	GPE
ejpam-5403	25	4	64010213047@msu.ac.th	CARDINAL
ejpam-5403	26	1	3268	CARDINAL
ejpam-5403	26	2	2024	CARDINAL
ejpam-5403	27	1	a. anantayasethi	PERSON
ejpam-5403	27	2	t. kunawat	GPE
ejpam-5403	28	1	j. pure	PERSON
ejpam-5403	28	2	17	CARDINAL
ejpam-5403	28	3	4	CARDINAL
ejpam-5403	28	4	2024	CARDINAL
ejpam-5403	28	5	3268	CARDINAL
ejpam-5403	30	1	q3	ORG
ejpam-5403	30	2	∗	CARDINAL
ejpam-5403	30	3	2	CARDINAL
ejpam-5403	31	1	1	CARDINAL
ejpam-5403	31	2	3	CARDINAL
ejpam-5403	31	3	14	CARDINAL
ejpam-5403	31	4	12	CARDINAL
ejpam-5403	31	5	10	CARDINAL
ejpam-5403	32	1	11	CARDINAL
ejpam-5403	32	2	13	CARDINAL
ejpam-5403	33	1	9	CARDINAL
ejpam-5403	39	1	x.	GPE
ejpam-5403	39	2	0x	CARDINAL
ejpam-5403	39	3	x.	GPE
ejpam-5403	39	4	2004	DATE
ejpam-5403	39	5	s. s. ahn et al	PERSON
ejpam-5403	40	1	14	CARDINAL
ejpam-5403	41	1	korea	GPE
ejpam-5403	41	2	egypt	GPE
ejpam-5403	41	3	11	CARDINAL
ejpam-5403	41	4	14	CARDINAL
ejpam-5403	41	5	13	CARDINAL
ejpam-5403	42	1	2010	DATE
ejpam-5403	42	2	s. s. ahn	PERSON
ejpam-5403	42	3	k.	PERSON
ejpam-5403	43	1	4	CARDINAL
ejpam-5403	44	1	4	CARDINAL
ejpam-5403	47	1	2	CARDINAL
ejpam-5403	48	1	12	CARDINAL
ejpam-5403	49	1	10	CARDINAL
ejpam-5403	49	2	13	CARDINAL
ejpam-5403	50	1	the year 2001	DATE
ejpam-5403	50	2	d. sun	PERSON
ejpam-5403	50	3	15	CARDINAL
ejpam-5403	51	1	zero	CARDINAL
ejpam-5403	51	2	2010	DATE
ejpam-5403	52	1	s. s. ahn	PERSON
ejpam-5403	52	2	s. e. kang	PERSON
ejpam-5403	53	1	3	CARDINAL
ejpam-5403	54	1	∈	ORG
ejpam-5403	54	2	0	CARDINAL
ejpam-5403	56	1	3	CARDINAL
ejpam-5403	58	1	ab ∈	ORG
ejpam-5403	59	1	3	CARDINAL
ejpam-5403	59	2	x.	ORG
ejpam-5403	60	1	1	CARDINAL
ejpam-5403	61	1	0	CARDINAL
ejpam-5403	61	2	0	CARDINAL
ejpam-5403	62	1	∗	CARDINAL
ejpam-5403	62	2	•	CARDINAL
ejpam-5403	63	1	0	CARDINAL
ejpam-5403	63	2	0	CARDINAL
ejpam-5403	65	1	∗	CARDINAL
ejpam-5403	65	2	•	CARDINAL
ejpam-5403	65	3	0	CARDINAL
ejpam-5403	67	1	0	CARDINAL
ejpam-5403	67	2	0	CARDINAL
ejpam-5403	68	1	0	CARDINAL
ejpam-5403	68	2	a(y	PERSON
ejpam-5403	68	3	0	CARDINAL
ejpam-5403	72	1	9	CARDINAL
ejpam-5403	72	2	3	CARDINAL
ejpam-5403	72	3	1	CARDINAL
ejpam-5403	73	1	9	CARDINAL
ejpam-5403	74	1	ab = ac	ORG
ejpam-5403	74	2	0b	CARDINAL
ejpam-5403	74	3	0c	CARDINAL
ejpam-5403	74	4	a. anantayasethi	PERSON
ejpam-5403	74	5	t. kunawat	GPE
ejpam-5403	75	1	j. pure	PERSON
ejpam-5403	75	2	17	CARDINAL
ejpam-5403	75	3	4	CARDINAL
ejpam-5403	75	4	2024	CARDINAL
ejpam-5403	75	5	3268	CARDINAL
ejpam-5403	75	6	1	CARDINAL
ejpam-5403	76	1	9	CARDINAL
ejpam-5403	76	2	i. e.	PERSON
ejpam-5403	76	3	ab = ac	ORG
ejpam-5403	76	4	c. lemma 2	PERSON
ejpam-5403	77	1	3	CARDINAL
ejpam-5403	78	1	0x)(0y	CARDINAL
ejpam-5403	78	2	y ∈	PERSON
ejpam-5403	78	3	10	CARDINAL
ejpam-5403	79	1	1	CARDINAL
ejpam-5403	80	1	10	CARDINAL
ejpam-5403	80	2	0x	CARDINAL
ejpam-5403	81	1	0	CARDINAL
ejpam-5403	81	2	2	CARDINAL
ejpam-5403	82	1	10	CARDINAL
ejpam-5403	83	1	3	CARDINAL
ejpam-5403	84	1	10	CARDINAL
ejpam-5403	84	2	∈	ORG
ejpam-5403	85	1	three	CARDINAL
ejpam-5403	86	1	0	CARDINAL
ejpam-5403	88	1	bc = a.	ORG
ejpam-5403	89	1	2	CARDINAL
ejpam-5403	90	1	first	ORDINAL
ejpam-5403	90	2	3	CARDINAL
ejpam-5403	91	1	1	CARDINAL
ejpam-5403	92	1	3	CARDINAL
ejpam-5403	94	1	xu	PERSON
ejpam-5403	94	2	2	CARDINAL
ejpam-5403	95	1	3	CARDINAL
ejpam-5403	96	1	0(0x	CARDINAL
ejpam-5403	97	1	2	CARDINAL
ejpam-5403	99	1	2	CARDINAL
ejpam-5403	99	2	1	CARDINAL
ejpam-5403	101	1	2(iv	DATE
ejpam-5403	102	1	0b	CARDINAL
ejpam-5403	104	1	2	CARDINAL
ejpam-5403	104	2	0	CARDINAL
ejpam-5403	104	3	a. anantayasethi	PERSON
ejpam-5403	104	4	t. kunawat	GPE
ejpam-5403	105	1	j. pure	PERSON
ejpam-5403	105	2	17	CARDINAL
ejpam-5403	105	3	4	CARDINAL
ejpam-5403	105	4	2024	CARDINAL
ejpam-5403	105	5	3268	CARDINAL
ejpam-5403	105	6	2	CARDINAL
ejpam-5403	107	1	0x	CARDINAL
ejpam-5403	110	1	x.	GPE
ejpam-5403	112	1	x.	EVENT
ejpam-5403	112	2	x(xb	TIME
ejpam-5403	115	1	y ∈	PERSON
ejpam-5403	117	1	4	CARDINAL
ejpam-5403	119	1	3	CARDINAL
ejpam-5403	119	2	1	CARDINAL
ejpam-5403	121	1	4(i	CARDINAL
ejpam-5403	125	1	4(i	CARDINAL
ejpam-5403	126	1	z(xx	GPE
ejpam-5403	127	1	x(xz	ORG
ejpam-5403	128	1	x(xz	ORG
ejpam-5403	128	2	x.	GPE
ejpam-5403	128	3	2001	DATE
ejpam-5403	128	4	d. sun	PERSON
ejpam-5403	129	1	15	CARDINAL
ejpam-5403	131	1	∈	ORG
ejpam-5403	131	2	0	CARDINAL
ejpam-5403	132	1	x.	GPE
ejpam-5403	132	2	2	CARDINAL
ejpam-5403	133	1	first	ORDINAL
ejpam-5403	133	2	6	CARDINAL
ejpam-5403	134	1	5	CARDINAL
ejpam-5403	134	2	|x| = n and g(x	PERSON
ejpam-5403	137	1	2	CARDINAL
ejpam-5403	137	2	0	CARDINAL
ejpam-5403	140	1	2	CARDINAL
ejpam-5403	141	1	0	CARDINAL
ejpam-5403	141	2	ofx.	GPE
ejpam-5403	142	1	a. anantayasethi	PERSON
ejpam-5403	142	2	t. kunawat	GPE
ejpam-5403	143	1	j. pure	PERSON
ejpam-5403	143	2	17	CARDINAL
ejpam-5403	143	3	4	CARDINAL
ejpam-5403	143	4	2024	CARDINAL
ejpam-5403	143	5	3268-3276 3272	CARDINAL
ejpam-5403	143	6	2	CARDINAL
ejpam-5403	144	1	4	CARDINAL
ejpam-5403	145	1	ab = a.	ORG
ejpam-5403	146	1	0b	CARDINAL
ejpam-5403	147	1	∈	ORG
ejpam-5403	149	1	3(iii	CARDINAL
ejpam-5403	150	1	0	CARDINAL
ejpam-5403	151	1	∈	ORG
ejpam-5403	153	1	0	CARDINAL
ejpam-5403	154	1	0a	CARDINAL
ejpam-5403	155	1	0b	CARDINAL
ejpam-5403	155	2	0	CARDINAL
ejpam-5403	158	1	∈	ORG
ejpam-5403	158	2	3(iii	CARDINAL
ejpam-5403	160	1	0	CARDINAL
ejpam-5403	163	1	3	CARDINAL
ejpam-5403	163	2	0	CARDINAL
ejpam-5403	165	1	3	CARDINAL
ejpam-5403	167	1	0	CARDINAL
ejpam-5403	167	2	3(i	CARDINAL
ejpam-5403	169	1	3(i	CARDINAL
ejpam-5403	169	2	xa ̸= x.	PERSON
ejpam-5403	170	1	0	CARDINAL
ejpam-5403	171	1	3	CARDINAL
ejpam-5403	173	1	0	CARDINAL
ejpam-5403	176	1	x.	EVENT
ejpam-5403	176	2	9	CARDINAL
ejpam-5403	180	1	3	CARDINAL
ejpam-5403	181	1	∈	ORG
ejpam-5403	182	1	0	CARDINAL
ejpam-5403	182	2	∈	ORG
ejpam-5403	184	1	ab	ORG
ejpam-5403	184	2	∈	ORG
ejpam-5403	185	1	0b	CARDINAL
ejpam-5403	186	1	3	CARDINAL
ejpam-5403	187	1	0	CARDINAL
ejpam-5403	188	1	cb = c.	ORG
ejpam-5403	188	2	4(i	CARDINAL
ejpam-5403	188	3	0b	CARDINAL
ejpam-5403	188	4	0(bc	DATE
ejpam-5403	188	5	∈	ORG
ejpam-5403	189	1	x.	GPE
ejpam-5403	191	1	4	CARDINAL
ejpam-5403	191	2	0	CARDINAL
ejpam-5403	192	1	0	CARDINAL
ejpam-5403	192	2	0	CARDINAL
ejpam-5403	192	3	0	CARDINAL
ejpam-5403	193	1	0	CARDINAL
ejpam-5403	194	1	0	CARDINAL
ejpam-5403	194	2	a. anantayasethi	PERSON
ejpam-5403	194	3	t. kunawat	GPE
ejpam-5403	195	1	j. pure	PERSON
ejpam-5403	195	2	17	CARDINAL
ejpam-5403	195	3	4	CARDINAL
ejpam-5403	195	4	2024	CARDINAL
ejpam-5403	195	5	3268	CARDINAL
ejpam-5403	195	6	∗	CARDINAL
ejpam-5403	196	1	a(x	PERSON
ejpam-5403	196	2	0	CARDINAL
ejpam-5403	197	1	0	CARDINAL
ejpam-5403	197	2	0b	CARDINAL
ejpam-5403	198	1	x.	ORG
ejpam-5403	199	1	4	CARDINAL
ejpam-5403	199	2	3	CARDINAL
ejpam-5403	199	3	3.6	CARDINAL
ejpam-5403	201	1	a(x	PERSON
ejpam-5403	203	1	4	CARDINAL
ejpam-5403	207	1	1	CARDINAL
ejpam-5403	207	2	⊆	CARDINAL
ejpam-5403	207	3	a(y	PERSON
ejpam-5403	208	1	⊆	CARDINAL
ejpam-5403	210	1	x.	EVENT
ejpam-5403	210	2	10	CARDINAL
ejpam-5403	212	1	⊆	CARDINAL
ejpam-5403	212	2	a(x	PERSON
ejpam-5403	214	1	∈	ORG
ejpam-5403	215	1	0	CARDINAL
ejpam-5403	216	1	0	CARDINAL
ejpam-5403	217	1	∈	ORG
ejpam-5403	217	2	0a	CARDINAL
ejpam-5403	218	1	∈	ORG
ejpam-5403	219	1	0	CARDINAL
ejpam-5403	219	2	3(ii	CARDINAL
ejpam-5403	219	3	w.	PERSON
ejpam-5403	220	1	0	CARDINAL
ejpam-5403	220	2	w = a.	PERSON
ejpam-5403	220	3	⊆	CARDINAL
ejpam-5403	221	1	10	CARDINAL
ejpam-5403	221	2	x.	GPE
ejpam-5403	222	1	5	CARDINAL
ejpam-5403	223	1	13	CARDINAL
ejpam-5403	224	1	0	CARDINAL
ejpam-5403	224	2	4 3 3	TIME
ejpam-5403	224	3	3	CARDINAL
ejpam-5403	225	1	0	CARDINAL
ejpam-5403	225	2	4	CARDINAL
ejpam-5403	225	3	0	CARDINAL
ejpam-5403	225	4	4	CARDINAL
ejpam-5403	226	1	⊆	CARDINAL
ejpam-5403	226	2	a(x	PERSON
ejpam-5403	227	1	x.	ORG
ejpam-5403	227	2	2(4	CARDINAL
ejpam-5403	227	3	2	CARDINAL
ejpam-5403	227	4	4	CARDINAL
ejpam-5403	227	5	∈	ORG
ejpam-5403	227	6	2	CARDINAL
ejpam-5403	228	1	ab	ORG
ejpam-5403	228	2	∈	ORG
ejpam-5403	229	1	a(x	PERSON
ejpam-5403	229	2	1	CARDINAL
ejpam-5403	231	1	⊆	CARDINAL
ejpam-5403	231	2	a(x	PERSON
ejpam-5403	231	3	⊆	CARDINAL
ejpam-5403	231	4	⊆	CARDINAL
ejpam-5403	232	1	a. anantayasethi	PERSON
ejpam-5403	232	2	t. kunawat	GPE
ejpam-5403	233	1	j. pure	PERSON
ejpam-5403	233	2	17	CARDINAL
ejpam-5403	233	3	4	CARDINAL
ejpam-5403	233	4	2024	CARDINAL
ejpam-5403	233	5	3268-3276 3274	CARDINAL
ejpam-5403	234	1	⊆	CARDINAL
ejpam-5403	234	2	⊆	CARDINAL
ejpam-5403	234	3	⊆	CARDINAL
ejpam-5403	235	1	⊆	CARDINAL
ejpam-5403	236	1	a(x	PERSON
ejpam-5403	236	2	⊆	CARDINAL
ejpam-5403	238	1	a(x	PERSON
ejpam-5403	239	1	1(iv	CARDINAL
ejpam-5403	239	2	⊆	CARDINAL
ejpam-5403	241	1	4	CARDINAL
ejpam-5403	242	1	1(iv	CARDINAL
ejpam-5403	243	1	11	CARDINAL
ejpam-5403	245	1	a(x	PERSON
ejpam-5403	247	1	a(x	PERSON
ejpam-5403	248	1	0a	CARDINAL
ejpam-5403	248	2	za)z	GPE
ejpam-5403	249	1	∈	ORG
ejpam-5403	249	2	⊆	CARDINAL
ejpam-5403	249	3	a(x	PERSON
ejpam-5403	250	1	za ∈	PERSON
ejpam-5403	251	1	a(x	PERSON
ejpam-5403	252	1	⊆	CARDINAL
ejpam-5403	252	2	a(x	PERSON
ejpam-5403	253	1	⊆	CARDINAL
ejpam-5403	253	2	1(iv	CARDINAL
ejpam-5403	254	1	a(x	PERSON
ejpam-5403	255	1	proposition 11	LAW
ejpam-5403	255	2	0b	CARDINAL
ejpam-5403	255	3	x.	EVENT
ejpam-5403	255	4	12	CARDINAL
ejpam-5403	257	1	a(x	PERSON
ejpam-5403	257	2	abelian	NORP
ejpam-5403	260	1	2	CARDINAL
ejpam-5403	261	1	0x)(0y	CARDINAL
ejpam-5403	264	1	11	CARDINAL
ejpam-5403	266	1	2	CARDINAL
ejpam-5403	267	1	x(yz	ORG
ejpam-5403	269	1	∈	ORG
ejpam-5403	273	1	0x	CARDINAL
ejpam-5403	274	1	0	DATE
ejpam-5403	276	1	a(x	PERSON
ejpam-5403	276	2	abelian	NORP
ejpam-5403	277	1	13	CARDINAL
ejpam-5403	279	1	⊆	CARDINAL
ejpam-5403	279	2	a(x	PERSON
ejpam-5403	279	3	a(x	PERSON
ejpam-5403	279	4	abelian	NORP
ejpam-5403	280	1	⊆	CARDINAL
ejpam-5403	281	1	11	CARDINAL
ejpam-5403	283	1	a(x	PERSON
ejpam-5403	283	2	12	CARDINAL
ejpam-5403	283	3	abelian	NORP
ejpam-5403	284	1	3275	CARDINAL
ejpam-5403	284	2	14	CARDINAL
ejpam-5403	286	1	x.	GPE
ejpam-5403	287	1	10	CARDINAL
ejpam-5403	287	2	⊆	CARDINAL
ejpam-5403	287	3	a(x	PERSON
ejpam-5403	288	1	a(x	PERSON
ejpam-5403	289	1	a(x	PERSON
ejpam-5403	290	1	x. 3	DATE
ejpam-5403	295	1	x.	ORG
ejpam-5403	295	2	mahasarakham university	ORG
ejpam-5403	295	3	thailand	GPE
ejpam-5403	296	1	1	CARDINAL
ejpam-5403	296	2	h. k. abdullah	PERSON
ejpam-5403	296	3	m. tach	PERSON
ejpam-5403	298	1	international journal of academic and applied research	ORG
ejpam-5403	298	2	4(10):66–78	CARDINAL
ejpam-5403	298	3	2020	DATE
ejpam-5403	299	1	2	CARDINAL
ejpam-5403	299	2	h. k. abdullah	PERSON
ejpam-5403	299	3	m. tach	PERSON
ejpam-5403	301	1	4(10):79–87	CARDINAL
ejpam-5403	301	2	2020	DATE
ejpam-5403	302	1	3	CARDINAL
ejpam-5403	302	2	s. ahn	PERSON
ejpam-5403	302	3	s. e. kang	PERSON
ejpam-5403	303	1	t(x	PERSON
ejpam-5403	304	1	honam mathematical journal	ORG
ejpam-5403	304	2	32(3):515–523	GPE
ejpam-5403	304	3	2010	DATE
ejpam-5403	305	1	4	CARDINAL
ejpam-5403	305	2	s. s. ahn	PERSON
ejpam-5403	305	3	k.	PERSON
ejpam-5403	307	1	the korean mathematical society	ORG
ejpam-5403	307	2	25(3):365–372, 2010	DATE
ejpam-5403	308	1	5	CARDINAL
ejpam-5403	308	2	a. anantayasethi	PERSON
ejpam-5403	308	3	j. koppitz	PERSON
ejpam-5403	309	1	2024	DATE
ejpam-5403	311	1	6	CARDINAL
ejpam-5403	311	2	k. iseki	PERSON
ejpam-5403	314	1	the japan academy	ORG
ejpam-5403	314	2	42:19–22, 1966	DATE
ejpam-5403	315	1	7	CARDINAL
ejpam-5403	315	2	k. iseki	PERSON
ejpam-5403	317	1	the japan academy	ORG
ejpam-5403	317	2	42:26–29, 1966	DATE
ejpam-5403	318	1	3276	CARDINAL
ejpam-5403	318	2	8	CARDINAL
ejpam-5403	318	3	k. iseki	PERSON
ejpam-5403	318	4	s. tanaka	PERSON
ejpam-5403	320	1	mathematica japonica	PERSON
ejpam-5403	320	2	23:1–26, 1978	DATE
ejpam-5403	321	1	9	CARDINAL
ejpam-5403	321	2	s. ahn j. neggers	PERSON
ejpam-5403	321	3	h. s. kim	PERSON
ejpam-5403	323	1	international journal of mathematics	ORG
ejpam-5403	323	2	27(12):749–757, 2001	ORG
ejpam-5403	324	1	10	CARDINAL
ejpam-5403	324	2	j. koppitzs	PERSON
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ejpam-5403	327	1	11	CARDINAL
ejpam-5403	327	2	s. m. lee	PERSON
ejpam-5403	327	3	k. h. kim	PERSON
ejpam-5403	329	1	6(1):31–37, 2011	DATE
ejpam-5403	330	1	12	CARDINAL
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ejpam-5403	332	1	41:52–63	CARDINAL
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ejpam-5403	333	1	13	CARDINAL
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ejpam-5403	335	1	2(2):69–80	CARDINAL
ejpam-5403	335	2	2012	DATE
ejpam-5403	336	1	14	CARDINAL
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ejpam-5403	338	1	12(4):419–425	ORG
ejpam-5403	338	2	2004	DATE
ejpam-5403	339	1	15	CARDINAL
ejpam-5403	341	1	scientiae mathematicae japonicae online	PERSON
ejpam-5403	341	2	2(4):115–124, 2001	DATE
ejpam-5403	342	1	16	CARDINAL
ejpam-5403	342	2	k. iseki y. arai	PERSON
ejpam-5403	342	3	s. tanaka	PERSON
ejpam-5403	344	1	the japan academy	ORG
ejpam-5403	344	2	42:105–107, 1966	DATE