id	sid	eid	entity	type
ap-3980	1	1	acta polytechnica doi:10.14311	PERSON
ap-3980	1	2	57(6):467–469	CARDINAL
ap-3980	1	3	2017	DATE
ap-3980	1	4	czech technical university	ORG
ap-3980	1	5	prague	GPE
ap-3980	1	6	2017	CARDINAL
ap-3980	1	7	http://ojs.cvut.cz/ojs/index.php/ap	PRODUCT
ap-3980	1	8	kummer	PERSON
ap-3980	1	9	algebraic	PERSON
ap-3980	1	10	r. sinuvasana	PERSON
ap-3980	1	11	c,∗	ORG
ap-3980	1	12	k. krishnakumara	PERSON
ap-3980	1	13	k. m.	PERSON
ap-3980	2	1	p. g. l. leachb a department of mathematics	PERSON
ap-3980	2	2	pondicherry university	ORG
ap-3980	2	3	kalapet	GPE
ap-3980	2	4	india	GPE
ap-3980	2	5	605 014	QUANTITY
ap-3980	2	6	university of kwazulu-natal	ORG
ap-3980	2	7	4000	CARDINAL
ap-3980	2	8	republic of south africa	ORG
ap-3980	2	9	institute for systems science	ORG
ap-3980	2	10	durban university of technology	ORG
ap-3980	2	11	pob 1334,	ORG
ap-3980	2	12	4000	CARDINAL
ap-3980	2	13	republic of south africa c	ORG
ap-3980	2	14	sastra deemed university	ORG
ap-3980	2	15	thanjavur	GPE
ap-3980	2	16	india	GPE
ap-3980	2	17	613	CARDINAL
ap-3980	4	1	kummer	PERSON
ap-3980	4	2	schwarz	DATE
ap-3980	4	3	3(y′′)2	CARDINAL
ap-3980	4	4	0	CARDINAL
ap-3980	4	5	0	CARDINAL
ap-3980	4	6	k m &	ORG
ap-3980	4	7	schwarz	DATE
ap-3980	4	8	equ dyn syst	PERSON
ap-3980	4	9	2016	DATE
ap-3980	4	10	doi:10.1007	GPE
ap-3980	7	1	kummer	PERSON
ap-3980	7	2	symmetries	ORG
ap-3980	8	1	1	CARDINAL
ap-3980	8	2	12	CARDINAL
ap-3980	8	3	0	CARDINAL
ap-3980	8	4	2	CARDINAL
ap-3980	8	5	3	DATE
ap-3980	9	1	1	CARDINAL
ap-3980	10	1	1	CARDINAL
ap-3980	10	2	one	CARDINAL
ap-3980	10	3	2	CARDINAL
ap-3980	11	1	schwarz	DATE
ap-3980	11	2	4	CARDINAL
ap-3980	11	3	two	CARDINAL
ap-3980	11	4	six	CARDINAL
ap-3980	11	5	two	CARDINAL
ap-3980	12	1	q− 2)y(n−2)y(n	DATE
ap-3980	13	1	q− 1)y(n−1)2	DATE
ap-3980	13	2	0	CARDINAL
ap-3980	13	3	2	CARDINAL
ap-3980	13	4	3	DATE
ap-3980	14	1	2	CARDINAL
ap-3980	15	1	2	CARDINAL
ap-3980	16	1	2	CARDINAL
ap-3980	17	1	2	CARDINAL
ap-3980	19	1	2	CARDINAL
ap-3980	20	1	10	CARDINAL
ap-3980	20	2	14	CARDINAL
ap-3980	21	1	1	CARDINAL
ap-3980	22	1	q− 2)y(n−2)y(n	DATE
ap-3980	22	2	1)(y(n−1))2	CARDINAL
ap-3980	23	1	0	CARDINAL
ap-3980	23	2	n ∈ n	ORG
ap-3980	23	3	1	CARDINAL
ap-3980	23	4	3	CARDINAL
ap-3980	23	5	−1	DATE
ap-3980	23	6	0	CARDINAL
ap-3980	23	7	1 +	CARDINAL
ap-3980	25	1	3 + q. proof	DATE
ap-3980	26	1	− x0	PERSON
ap-3980	26	2	x0	ORG
ap-3980	28	1	2	CARDINAL
ap-3980	30	1	2)(p−n+ 1)−	DATE
ap-3980	30	2	q− 1)(p−n+ 2	DATE
ap-3980	30	3	zero	CARDINAL
ap-3980	31	1	αχ−q	CARDINAL
ap-3980	31	2	3	CARDINAL
ap-3980	32	1	χ−2	ORG
ap-3980	32	2	−q−n+3)(−q+s)(−q+s−1	ORG
ap-3980	33	1	+ 1	DATE
ap-3980	36	1	3	CARDINAL
ap-3980	37	1	q−	DATE
ap-3980	37	2	2)(−q−n+	CARDINAL
ap-3980	37	3	1	CARDINAL
ap-3980	38	1	q−	DATE
ap-3980	41	1	s−n+ 2	ORG
ap-3980	42	1	467	CARDINAL
ap-3980	42	2	k. krishnakumar	PERSON
ap-3980	42	3	k. m. tamizhmani	PERSON
ap-3980	42	4	p. g. l. leach acta polytechnica	PERSON
ap-3980	42	5	zero	CARDINAL
ap-3980	42	6	two	CARDINAL
ap-3980	42	7	−1	DATE
ap-3980	42	8	0	CARDINAL
ap-3980	43	1	−1	DATE
ap-3980	43	2	2	CARDINAL
ap-3980	44	1	fifth	ORDINAL
ap-3980	44	2	q+	GPE
ap-3980	44	3	3)y′′′y(5	DATE
ap-3980	45	1	4)(y(4))2	CARDINAL
ap-3980	45	2	0	CARDINAL
ap-3980	46	1	4	CARDINAL
ap-3980	46	2	x0	ORG
ap-3980	47	1	3)α2p2(p−	CARDINAL
ap-3980	47	2	1)2(p−	ORDINAL
ap-3980	47	3	2)2(p−	CARDINAL
ap-3980	47	4	4)χ2p−8	CARDINAL
ap-3980	48	1	q+	GPE
ap-3980	48	2	4)α2p2(p−	ORDINAL
ap-3980	48	3	1)2(p−	ORDINAL
ap-3980	48	4	3)2χ2p−8	CARDINAL
ap-3980	48	5	zero	CARDINAL
ap-3980	51	1	αχ−q	CARDINAL
ap-3980	53	1	fifth	ORDINAL
ap-3980	53	2	−1	DATE
ap-3980	53	3	0	CARDINAL
ap-3980	53	4	1 +	CARDINAL
ap-3980	53	5	2 + q. 3	DATE
ap-3980	53	6	2	CARDINAL
ap-3980	53	7	1	CARDINAL
ap-3980	53	8	0	CARDINAL
ap-3980	53	9	2	CARDINAL
ap-3980	53	10	3)(n−3	CARDINAL
ap-3980	54	1	i=0 cix	PERSON
ap-3980	54	2	5	CARDINAL
ap-3980	54	3	q+n−	PERSON
ap-3980	54	4	3)(n−3	CARDINAL
ap-3980	55	1	2	CARDINAL
ap-3980	56	1	4	CARDINAL
ap-3980	56	2	2	CARDINAL
ap-3980	57	1	2	CARDINAL
ap-3980	57	2	1	CARDINAL
ap-3980	59	1	1	CARDINAL
ap-3980	60	1	second	ORDINAL
ap-3980	62	1	third	ORDINAL
ap-3980	62	2	3	CARDINAL
ap-3980	62	3	four	CARDINAL
ap-3980	64	1	+ 2xy	DATE
ap-3980	64	2	2xy	CARDINAL
ap-3980	65	1	1	CARDINAL
ap-3980	66	1	1 2	DATE
ap-3980	67	1	two	CARDINAL
ap-3980	68	1	a2 ⊕ a2	ORG
ap-3980	68	2	2a2	CARDINAL
ap-3980	69	1	9	CARDINAL
ap-3980	69	2	11	DATE
ap-3980	69	3	13	CARDINAL
ap-3980	70	1	1	CARDINAL
ap-3980	70	2	2sl(2	CARDINAL
ap-3980	70	3	2a3,8	CARDINAL
ap-3980	71	1	third	ORDINAL
ap-3980	72	1	0	CARDINAL
ap-3980	73	1	1 2	CARDINAL
ap-3980	74	1	fourth	ORDINAL
ap-3980	75	1	+ 1 2y	DATE
ap-3980	77	1	+ 3 2y	DATE
ap-3980	79	1	five	CARDINAL
ap-3980	81	1	six	CARDINAL
ap-3980	81	2	a3,3 ⊕s sl(2	ORG
ap-3980	82	1	y′′	ORG
ap-3980	83	1	two	CARDINAL
ap-3980	83	2	second	ORDINAL
ap-3980	83	3	3	CARDINAL
ap-3980	84	1	468	CARDINAL
ap-3980	84	2	57	CARDINAL
ap-3980	85	1	6/2017	CARDINAL
ap-3980	85	2	kummer	PERSON
ap-3980	85	3	eight	CARDINAL
ap-3980	88	1	2	CARDINAL
ap-3980	89	1	third	ORDINAL
ap-3980	89	2	3	CARDINAL
ap-3980	91	1	three	CARDINAL
ap-3980	91	2	n + 1	PRODUCT
ap-3980	91	3	n + 2	PRODUCT
ap-3980	93	1	third	ORDINAL
ap-3980	94	1	5	CARDINAL
ap-3980	94	2	12	CARDINAL
ap-3980	94	3	1)y(n−2)y(n	CARDINAL
ap-3980	94	4	3(y′′)2	CARDINAL
ap-3980	94	5	0	CARDINAL
ap-3980	96	1	kummer	PERSON
ap-3980	96	2	six	CARDINAL
ap-3980	96	3	third	ORDINAL
ap-3980	97	1	kummer	PERSON
ap-3980	97	2	q− 2)y(n−2)y(n	DATE
ap-3980	98	1	1)(y(n−1))2	CARDINAL
ap-3980	99	1	0	CARDINAL
ap-3980	100	1	q.	PERSON
ap-3980	100	2	3	CARDINAL
ap-3980	100	3	symmetries	ORG
ap-3980	100	4	q.	PERSON
ap-3980	102	1	0	CARDINAL
ap-3980	104	1	the university grants commission	ORG
ap-3980	105	1	km tamizhmani	PERSON
ap-3980	105	2	university of pondicherry	ORG
ap-3980	106	1	the university of kwazulu-natal	ORG
ap-3980	106	2	the national research foundation	ORG
ap-3980	106	3	south africa	GPE
ap-3980	107	1	two	CARDINAL
ap-3980	108	1	1	CARDINAL
ap-3980	108	2	k.	PERSON
ap-3980	108	3	p. g. l.:	PERSON
ap-3980	109	1	359, 2006	DATE
ap-3980	109	2	199	CARDINAL
ap-3980	110	1	2006.06.026	CARDINAL
ap-3980	111	1	2	CARDINAL
ap-3980	111	2	m. r.	PERSON
ap-3980	111	3	p. g. l.	PERSON
ap-3980	111	4	r. l.	PERSON
ap-3980	112	1	1997	DATE
ap-3980	112	2	7437-7461	DATE
ap-3980	114	1	3	CARDINAL
ap-3980	114	2	l.	GPE
ap-3980	114	3	kamran	GPE
ap-3980	114	4	second	ORDINAL
ap-3980	115	1	london	GPE
ap-3980	115	2	58, 1989	DATE
ap-3980	115	3	387	CARDINAL
ap-3980	117	1	4	CARDINAL
ap-3980	117	2	kummer	PERSON
ap-3980	117	3	e. e.: de generali	PERSON
ap-3980	117	4	æquatione differentiali tertii ordinis.	ORG
ap-3980	118	1	reine und angewandte mathematik	PERSON
ap-3980	118	2	100, 1887	DATE
ap-3980	118	3	1-9	CARDINAL
ap-3980	119	1	und stadtgymnasiums	PERSON
ap-3980	119	2	the year 1834	DATE
ap-3980	120	1	doi.org/10.1515/crll.1887.100.1	NORP
ap-3980	121	1	5	CARDINAL
ap-3980	121	2	six	CARDINAL
ap-3980	121	3	algebras	ORG
ap-3980	122	1	zavendenĭı	GPE
ap-3980	122	2	5, 1958	DATE
ap-3980	122	3	161	CARDINAL
ap-3980	123	1	6] mubarakzyanov	DATE
ap-3980	123	2	g. m.:	PERSON
ap-3980	123	3	algebras	ORG
ap-3980	124	1	zavendenĭı	GPE
ap-3980	124	2	32	DATE
ap-3980	124	3	114	CARDINAL
ap-3980	125	1	7] mubarakzyanov	DATE
ap-3980	125	2	g. m.:	PERSON
ap-3980	125	3	five	CARDINAL
ap-3980	126	1	zavendenĭı	GPE
ap-3980	126	2	34	DATE
ap-3980	126	3	1963	DATE
ap-3980	126	4	99	CARDINAL
ap-3980	127	1	8] mubarakzyanov	DATE
ap-3980	127	2	g. m.:	PERSON
ap-3980	127	3	six	CARDINAL
ap-3980	127	4	one	CARDINAL
ap-3980	128	1	zavendenĭı	GPE
ap-3980	128	2	35	DATE
ap-3980	128	3	1963	DATE
ap-3980	128	4	104	CARDINAL
ap-3980	129	1	9	CARDINAL
ap-3980	129	2	j.	PERSON
ap-3980	129	3	r. t.	PERSON
ap-3980	129	4	zassenhaus, h.:	ORG
ap-3980	129	5	algebras	ORG
ap-3980	129	6	journal of mathematical physics	ORG
ap-3980	129	7	1976	DATE
ap-3980	129	8	986	CARDINAL
ap-3980	129	9	10	CARDINAL
ap-3980	129	10	ramani	NORP
ap-3980	129	11	grammaticos	PERSON
ap-3980	129	12	bountis	GPE
ap-3980	130	1	180, 1989	DATE
ap-3980	130	2	159	CARDINAL
ap-3980	132	1	11	CARDINAL
ap-3980	132	2	a.	GPE
ap-3980	132	3	thompson	PERSON
ap-3980	132	4	six	CARDINAL
ap-3980	132	5	five	CARDINAL
ap-3980	133	1	23(2	CARDINAL
ap-3980	133	2	2013	DATE
ap-3980	133	3	313	CARDINAL
ap-3980	134	1	12	CARDINAL
ap-3980	134	2	r.	NORP
ap-3980	134	3	k. m.	PERSON
ap-3980	134	4	p. g. l.:	PERSON
ap-3980	135	1	algebraic	PERSON
ap-3980	135	2	kummer	PERSON
ap-3980	136	1	2016	DATE
ap-3980	136	2	doi:10.1007	GPE
ap-3980	137	1	13	CARDINAL
ap-3980	137	2	algebras 33	LAW
ap-3980	138	1	american mathematical society	ORG
ap-3980	139	1	r.i.	GPE
ap-3980	139	2	2014	DATE
ap-3980	140	1	14	CARDINAL
ap-3980	141	1	new york	GPE
ap-3980	142	1	john wiley	PERSON
ap-3980	142	2	1989	DATE
ap-3980	143	1	469	CARDINAL
ap-3980	143	2	57(6):467–469	CARDINAL
ap-3980	143	3	2017 1	DATE
ap-3980	143	4	2	CARDINAL
ap-3980	143	5	3	CARDINAL
ap-3980	143	6	4	CARDINAL
ap-3980	143	7	5	CARDINAL