id	sid	eid	entity	type
ejpam-1373	1	1	6_xxx_sankar.dvi	CARDINAL
ejpam-1373	1	2	european	NORP
ejpam-1373	2	1	4	CARDINAL
ejpam-1373	2	2	4, 2011	DATE
ejpam-1373	2	3	424	CARDINAL
ejpam-1373	2	4	1307-5543	DATE
ejpam-1373	2	5	z+	ORG
ejpam-1373	3	1	sagi	ORG
ejpam-1373	3	2	1	CARDINAL
ejpam-1373	3	3	visakhapatnam	GPE
ejpam-1373	3	4	india	GPE
ejpam-1373	4	1	2	CARDINAL
ejpam-1373	4	2	india	GPE
ejpam-1373	6	1	z+	ORG
ejpam-1373	6	2	c(n	ORG
ejpam-1373	6	3	d(n	GPE
ejpam-1373	7	1	z+	ORG
ejpam-1373	8	1	z+	ORG
ejpam-1373	8	2	∈ c(n	ORG
ejpam-1373	9	1	z+	ORG
ejpam-1373	10	1	2000	CARDINAL
ejpam-1373	10	2	06b99,11a99	CARDINAL
ejpam-1373	11	1	multiplicative	ORG
ejpam-1373	12	1	1	CARDINAL
ejpam-1373	12	2	z+	ORG
ejpam-1373	13	1	⋃ m∈c	PERSON
ejpam-1373	13	2	n ∈ z+	ORG
ejpam-1373	14	1	d(n	PERSON
ejpam-1373	15	1	n ∈ z+	ORG
ejpam-1373	16	1	z+	ORG
ejpam-1373	16	2	∈	ORG
ejpam-1373	16	3	z+	ORG
ejpam-1373	16	4	3	CARDINAL
ejpam-1373	17	1	z+	ORG
ejpam-1373	17	2	z+	ORG
ejpam-1373	17	3	z+	ORG
ejpam-1373	19	1	yahoo	ORG
ejpam-1373	20	1	o.in	PERSON
ejpam-1373	20	2	s. sankar	PERSON
ejpam-1373	21	1	424	CARDINAL
ejpam-1373	21	2	2011	DATE
ejpam-1373	22	1	s. sankar	PERSON
ejpam-1373	23	1	j. pure	PERSON
ejpam-1373	23	2	4 (2011	DATE
ejpam-1373	23	3	424	CARDINAL
ejpam-1373	24	1	z+	ORG
ejpam-1373	26	1	∈	PRODUCT
ejpam-1373	26	2	⊆	CARDINAL
ejpam-1373	27	1	z+	ORG
ejpam-1373	28	1	2	CARDINAL
ejpam-1373	30	1	⊆	CARDINAL
ejpam-1373	31	1	a(lub of a	ORG
ejpam-1373	31	2	a1 ∧ a2 ∧ ·	PRODUCT
ejpam-1373	33	1	∈	ORG
ejpam-1373	34	1	∈	ORG
ejpam-1373	36	1	commutative	ORG
ejpam-1373	39	1	z+	ORG
ejpam-1373	40	1	1	CARDINAL
ejpam-1373	41	1	z+	ORG
ejpam-1373	41	2	z+	ORG
ejpam-1373	41	3	n ∈ z+	ORG
ejpam-1373	42	1	1	CARDINAL
ejpam-1373	43	1	2	CARDINAL
ejpam-1373	44	1	3	CARDINAL
ejpam-1373	45	1	⋃ m∈c	PERSON
ejpam-1373	46	1	2	CARDINAL
ejpam-1373	47	1	n ∈ z+	ORG
ejpam-1373	48	1	∈	ORG
ejpam-1373	48	2	z+	ORG
ejpam-1373	48	3	z+	ORG
ejpam-1373	49	1	s. sankar	PERSON
ejpam-1373	50	1	j. pure	PERSON
ejpam-1373	50	2	4 (2011	DATE
ejpam-1373	50	3	424	CARDINAL
ejpam-1373	50	4	z+	ORG
ejpam-1373	50	5	z+	ORG
ejpam-1373	50	6	z+	ORG
ejpam-1373	51	1	z+,≤c	ORG
ejpam-1373	51	2	z+	ORG
ejpam-1373	52	1	3	CARDINAL
ejpam-1373	52	2	semilattice structures	ORG
ejpam-1373	52	3	z+	ORG
ejpam-1373	52	4	z+	ORG
ejpam-1373	53	1	z+	ORG
ejpam-1373	53	2	z+	ORG
ejpam-1373	54	1	3	CARDINAL
ejpam-1373	56	1	1	CARDINAL
ejpam-1373	57	1	n2)∩ ·	DATE
ejpam-1373	58	1	6=	CARDINAL
ejpam-1373	58	2	2	CARDINAL
ejpam-1373	60	1	n ∈ z+	ORG
ejpam-1373	60	2	n2)∩ ·	DATE
ejpam-1373	63	1	3	CARDINAL
ejpam-1373	64	1	z+	ORG
ejpam-1373	64	2	n ∈ z+	ORG
ejpam-1373	65	1	1	CARDINAL
ejpam-1373	66	1	z+	ORG
ejpam-1373	68	1	1	CARDINAL
ejpam-1373	69	1	z+,≤c	ORG
ejpam-1373	69	2	2	CARDINAL
ejpam-1373	70	1	3	CARDINAL
ejpam-1373	71	1	4	CARDINAL
ejpam-1373	72	1	z+	ORG
ejpam-1373	72	2	z+,≤c	ORG
ejpam-1373	74	1	1	CARDINAL
ejpam-1373	74	2	2	CARDINAL
ejpam-1373	74	3	z+,≤c	ORG
ejpam-1373	75	1	z+,≤c	ORG
ejpam-1373	77	1	∈	ORG
ejpam-1373	78	1	n= gl b{n1	PERSON
ejpam-1373	78	2	n2	PRODUCT
ejpam-1373	78	3	∈	ORG
ejpam-1373	78	4	s. sankar	PERSON
ejpam-1373	79	1	j. pure	PERSON
ejpam-1373	79	2	4 (2011	DATE
ejpam-1373	79	3	424	CARDINAL
ejpam-1373	82	1	2	CARDINAL
ejpam-1373	82	2	3	CARDINAL
ejpam-1373	83	1	z+	ORG
ejpam-1373	86	1	z+	ORG
ejpam-1373	87	1	∈	ORG
ejpam-1373	90	1	∈	ORG
ejpam-1373	91	1	r+1	PERSON
ejpam-1373	91	2	i=1 c	ORG
ejpam-1373	91	3	∈	ORG
ejpam-1373	93	1	z+,≤c	ORG
ejpam-1373	93	2	n.	PERSON
ejpam-1373	93	3	br+k	PRODUCT
ejpam-1373	93	4	br+k	NORP
ejpam-1373	96	1	∩	PERSON
ejpam-1373	99	1	3	CARDINAL
ejpam-1373	99	2	4	CARDINAL
ejpam-1373	99	3	1	CARDINAL
ejpam-1373	99	4	2	CARDINAL
ejpam-1373	100	1	4	CARDINAL
ejpam-1373	100	2	1	CARDINAL
ejpam-1373	101	1	z+,≤c	ORG
ejpam-1373	103	1	2	CARDINAL
ejpam-1373	104	1	n ∈ z+	ORG
ejpam-1373	105	1	n)⊆	CARDINAL
ejpam-1373	107	1	∪c	CARDINAL
ejpam-1373	107	2	∈	ORG
ejpam-1373	107	3	∪c	CARDINAL
ejpam-1373	107	4	∈	ORG
ejpam-1373	107	5	∈	ORG
ejpam-1373	107	6	n)⊆	CARDINAL
ejpam-1373	110	1	two	CARDINAL
ejpam-1373	110	2	q.	PERSON
ejpam-1373	110	3	⊆	CARDINAL
ejpam-1373	110	4	⊆	CARDINAL
ejpam-1373	110	5	6=	CARDINAL
ejpam-1373	110	6	∈	PRODUCT
ejpam-1373	111	1	z+,≤c	ORG
ejpam-1373	112	1	d.	NORP
ejpam-1373	114	1	s. sankar	PERSON
ejpam-1373	115	1	j. pure	PERSON
ejpam-1373	115	2	4 (2011	DATE
ejpam-1373	115	3	424	CARDINAL
ejpam-1373	115	4	428	CARDINAL
ejpam-1373	115	5	3	CARDINAL
ejpam-1373	116	1	z+	ORG
ejpam-1373	117	1	z+,≤c	ORG
ejpam-1373	120	1	1	CARDINAL
ejpam-1373	120	2	z+,≤c	ORG
ejpam-1373	121	1	z+	ORG
ejpam-1373	121	2	z+,≤c	ORG
ejpam-1373	122	1	z+,≤c	ORG
ejpam-1373	123	1	z+	ORG
ejpam-1373	125	1	z+,≤c	ORG
ejpam-1373	127	1	1	CARDINAL
ejpam-1373	127	2	z+,≤c	ORG
ejpam-1373	127	3	z+,≤c	ORG
ejpam-1373	128	1	z+,≤c	ORG
ejpam-1373	129	1	z+	ORG
ejpam-1373	130	1	4	CARDINAL
ejpam-1373	131	1	z+,≤c	ORG
ejpam-1373	132	1	z+,≤c	ORG
ejpam-1373	134	1	4	CARDINAL
ejpam-1373	139	1	5	CARDINAL
ejpam-1373	141	1	1	CARDINAL
ejpam-1373	142	1	z+,≤c	ORG
ejpam-1373	142	2	2	CARDINAL
ejpam-1373	143	1	z+,≤c	ORG
ejpam-1373	146	1	1	CARDINAL
ejpam-1373	146	2	z+	ORG
ejpam-1373	146	3	z+	ORG
ejpam-1373	146	4	1,2,5,10	CARDINAL
ejpam-1373	146	5	n= 10	LAW
ejpam-1373	146	6	1,2,5,20	CARDINAL
ejpam-1373	146	7	n= 20	LAW
ejpam-1373	146	8	1	CARDINAL
ejpam-1373	147	1	1	CARDINAL
ejpam-1373	147	2	two	CARDINAL
ejpam-1373	149	1	z+,≤c	ORG
ejpam-1373	149	2	10,20	CARDINAL
ejpam-1373	149	3	z+,≤c	ORG
ejpam-1373	150	1	s. sankar	PERSON
ejpam-1373	151	1	j. pure	PERSON
ejpam-1373	151	2	4 (2011	DATE
ejpam-1373	151	3	424	CARDINAL
ejpam-1373	151	4	434 429	CARDINAL
ejpam-1373	151	5	5	CARDINAL
ejpam-1373	152	1	4	CARDINAL
ejpam-1373	152	2	multiplicative	ORG
ejpam-1373	153	1	z+	ORG
ejpam-1373	154	1	5	CARDINAL
ejpam-1373	156	1	∈	ORG
ejpam-1373	160	1	∈	ORG
ejpam-1373	161	1	z+	ORG
ejpam-1373	162	1	6	CARDINAL
ejpam-1373	163	1	z+	ORG
ejpam-1373	165	1	θ(n)(p	ORG
ejpam-1373	166	1	z+,≤c	ORG
ejpam-1373	166	2	∑ p n	PERSON
ejpam-1373	166	3	∈	ORG
ejpam-1373	167	1	1	CARDINAL
ejpam-1373	170	1	z+,≤c	ORG
ejpam-1373	171	1	2	CARDINAL
ejpam-1373	172	1	z+,≤c	ORG
ejpam-1373	173	1	s. sankar	PERSON
ejpam-1373	174	1	j. pure	PERSON
ejpam-1373	174	2	4 (2011	DATE
ejpam-1373	174	3	424	CARDINAL
ejpam-1373	174	4	430	CARDINAL
ejpam-1373	174	5	2	CARDINAL
ejpam-1373	174	6	1	CARDINAL
ejpam-1373	175	1	d(n	PERSON
ejpam-1373	177	1	z+	ORG
ejpam-1373	179	1	2	CARDINAL
ejpam-1373	183	1	3	CARDINAL
ejpam-1373	184	1	∈	ORG
ejpam-1373	185	1	f2	ORG
ejpam-1373	186	1	4	CARDINAL
ejpam-1373	187	1	k ∈ z+	ORG
ejpam-1373	188	1	1	CARDINAL
ejpam-1373	189	1	z+,≤c	ORG
ejpam-1373	189	2	z+,≤c	ORG
ejpam-1373	190	1	1	CARDINAL
ejpam-1373	190	2	z+,≤c	ORG
ejpam-1373	191	1	7	CARDINAL
ejpam-1373	192	1	1	CARDINAL
ejpam-1373	193	1	z+,≤c	ORG
ejpam-1373	193	2	mn	GPE
ejpam-1373	194	1	2	CARDINAL
ejpam-1373	200	1	6	CARDINAL
ejpam-1373	200	2	z+,≤c	ORG
ejpam-1373	201	1	n ∈ z+	ORG
ejpam-1373	202	1	1	CARDINAL
ejpam-1373	203	1	mn	ORG
ejpam-1373	203	2	z+,≤c	ORG
ejpam-1373	204	1	∈	ORG
ejpam-1373	204	2	1	CARDINAL
ejpam-1373	205	1	n≤c mn	GPE
ejpam-1373	206	1	z+,≤c	ORG
ejpam-1373	206	2	s. sankar	PERSON
ejpam-1373	207	1	j. pure	PERSON
ejpam-1373	207	2	4 (2011	DATE
ejpam-1373	207	3	424	CARDINAL
ejpam-1373	208	1	0	CARDINAL
ejpam-1373	208	2	θ(n)(p	ORG
ejpam-1373	208	3	0	CARDINAL
ejpam-1373	210	1	θ(n)(p	ORG
ejpam-1373	211	1	θ((mn))(p)≤p	PERSON
ejpam-1373	212	1	r.	NORP
ejpam-1373	212	2	mn	GPE
ejpam-1373	212	3	1	CARDINAL
ejpam-1373	213	1	2	CARDINAL
ejpam-1373	213	2	z+,≤c	ORG
ejpam-1373	214	1	mn	GPE
ejpam-1373	215	1	x ∧ n	ORG
ejpam-1373	215	2	z+,≤c	ORG
ejpam-1373	216	1	θ(n)(p	ORG
ejpam-1373	216	2	θ(n)(p	ORG
ejpam-1373	216	3	since θ(x)(p	TIME
ejpam-1373	217	1	θ(x)(p	TIME
ejpam-1373	218	1	x ∧ n	ORG
ejpam-1373	218	2	z+,≤c	ORG
ejpam-1373	219	1	∈	ORG
ejpam-1373	219	2	⊆	CARDINAL
ejpam-1373	220	1	1	CARDINAL
ejpam-1373	220	2	x ∧ n	ORG
ejpam-1373	220	3	1	CARDINAL
ejpam-1373	220	4	1	CARDINAL
ejpam-1373	220	5	x ∧ n	ORG
ejpam-1373	220	6	z+,≤c	ORG
ejpam-1373	221	1	θ(x	ORG
ejpam-1373	221	2	θ(n)(p	ORG
ejpam-1373	221	3	θ(x	ORG
ejpam-1373	222	1	∧m)(x ∧ n))(p	ORG
ejpam-1373	223	1	x ∧ n))(p	ORG
ejpam-1373	223	2	θ(x	ORG
ejpam-1373	224	1	x ∧ n	ORG
ejpam-1373	225	1	x ∧ n	ORG
ejpam-1373	227	1	2	CARDINAL
ejpam-1373	228	1	1	CARDINAL
ejpam-1373	228	2	2	CARDINAL
ejpam-1373	228	3	n ∈ z+	ORG
ejpam-1373	229	1	1	CARDINAL
ejpam-1373	229	2	1	CARDINAL
ejpam-1373	229	3	1	CARDINAL
ejpam-1373	229	4	y ∨	PERSON
ejpam-1373	229	5	z+,≤c	ORG
ejpam-1373	230	1	2	CARDINAL
ejpam-1373	230	2	x ∧ y)∨	ORG
ejpam-1373	230	3	∈	ORG
ejpam-1373	231	1	x ∧ n	ORG
ejpam-1373	231	2	x ∧ n ∈	ORG
ejpam-1373	232	1	m)c	GPE
ejpam-1373	232	2	s. sankar	PERSON
ejpam-1373	233	1	j. pure	PERSON
ejpam-1373	233	2	4 (2011	DATE
ejpam-1373	233	3	424	CARDINAL
ejpam-1373	234	1	mn)⊆	ORG
ejpam-1373	237	1	y ∨ z	PERSON
ejpam-1373	237	2	y ∨	PERSON
ejpam-1373	237	3	n= mn	ORG
ejpam-1373	238	1	n)⊆	ORG
ejpam-1373	240	1	1	CARDINAL
ejpam-1373	240	2	2	CARDINAL
ejpam-1373	241	1	1= p∧ n	PRODUCT
ejpam-1373	242	1	8	CARDINAL
ejpam-1373	243	1	z+,≤c	ORG
ejpam-1373	244	1	1	CARDINAL
ejpam-1373	245	1	n ∈ z+	ORG
ejpam-1373	245	2	1	CARDINAL
ejpam-1373	245	3	2	CARDINAL
ejpam-1373	246	1	n ∈ z+	ORG
ejpam-1373	248	1	z+	ORG
ejpam-1373	249	1	7	CARDINAL
ejpam-1373	249	2	1	CARDINAL
ejpam-1373	250	1	2	CARDINAL
ejpam-1373	250	2	n ∈ z+	ORG
ejpam-1373	252	1	1	CARDINAL
ejpam-1373	252	2	xm	ORG
ejpam-1373	255	1	θ(x)(p)+ θ(m)(p	DATE
ejpam-1373	255	2	θ(xn)(p	PRODUCT
ejpam-1373	255	3	θ(x)(p	TIME
ejpam-1373	256	1	0	CARDINAL
ejpam-1373	256	2	θ(n)(p	ORG
ejpam-1373	257	1	θ(n)(p	ORG
ejpam-1373	258	1	θ(n)(p	ORG
ejpam-1373	259	1	z+,≤c	ORG
ejpam-1373	260	1	m∧n≤c n	PERSON
ejpam-1373	260	2	m∧n	PERSON
ejpam-1373	260	3	m∧n	PERSON
ejpam-1373	261	1	1	CARDINAL
ejpam-1373	264	1	2	CARDINAL
ejpam-1373	265	1	1	CARDINAL
ejpam-1373	265	2	2	CARDINAL
ejpam-1373	265	3	z+,≤c	ORG
ejpam-1373	266	1	n ∈ z+	ORG
ejpam-1373	267	1	1	CARDINAL
ejpam-1373	267	2	1	CARDINAL
ejpam-1373	267	3	∨ n	PERSON
ejpam-1373	267	4	mn	GPE
ejpam-1373	268	1	m≤c	PERSON
ejpam-1373	268	2	mn	GPE
ejpam-1373	268	3	n≤c mn	GPE
ejpam-1373	268	4	∈	ORG
ejpam-1373	269	1	∈	ORG
ejpam-1373	270	1	1	CARDINAL
ejpam-1373	271	1	n= mn	ORG
ejpam-1373	271	2	n)⊆	ORG
ejpam-1373	274	1	1	CARDINAL
ejpam-1373	274	2	1	CARDINAL
ejpam-1373	275	1	433	CARDINAL
ejpam-1373	275	2	∨	PERSON
ejpam-1373	276	1	mn= m∨n	ORG
ejpam-1373	277	1	z.	PERSON
ejpam-1373	277	2	2	CARDINAL
ejpam-1373	278	1	m(z ∧ n	ORG
ejpam-1373	279	1	1	CARDINAL
ejpam-1373	280	1	n≤c n.	DATE
ejpam-1373	281	1	mn)⊆	ORG
ejpam-1373	281	2	m)c	GPE
ejpam-1373	284	1	z+	ORG
ejpam-1373	284	2	two	CARDINAL
ejpam-1373	284	3	1	CARDINAL
ejpam-1373	285	1	9	CARDINAL
ejpam-1373	287	1	1	CARDINAL
ejpam-1373	288	1	z+,≤c	ORG
ejpam-1373	288	2	mn	GPE
ejpam-1373	288	3	z+	CARDINAL
ejpam-1373	289	1	2	CARDINAL
ejpam-1373	290	1	n)⊆	ORG
ejpam-1373	291	1	1	CARDINAL
ejpam-1373	292	1	n ∈ z+	ORG
ejpam-1373	293	1	1	CARDINAL
ejpam-1373	297	1	1	CARDINAL
ejpam-1373	298	1	mn	ORG
ejpam-1373	298	2	∈	ORG
ejpam-1373	298	3	1	CARDINAL
ejpam-1373	299	1	m).c	PERSON
ejpam-1373	299	2	n)⊆	ORG
ejpam-1373	301	1	1	CARDINAL
ejpam-1373	301	2	2)(ii	CARDINAL
ejpam-1373	301	3	m).c	PERSON
ejpam-1373	301	4	n)⊆	ORG
ejpam-1373	301	5	∈	ORG
ejpam-1373	301	6	m).c	PERSON
ejpam-1373	301	7	n)⊆	ORG
ejpam-1373	301	8	n≤c mn	GPE
ejpam-1373	302	1	z+,≤c	ORG
ejpam-1373	302	2	mn=	PERSON
ejpam-1373	303	1	mn	ORG
ejpam-1373	303	2	1	CARDINAL
ejpam-1373	303	3	e. cohen	PERSON
ejpam-1373	304	1	66-80	CARDINAL
ejpam-1373	305	1	1960	DATE
ejpam-1373	306	1	2	CARDINAL
ejpam-1373	306	2	w. narkiewicz	PERSON
ejpam-1373	307	1	colloq	PERSON
ejpam-1373	309	1	81-94	DATE
ejpam-1373	310	1	1963	DATE
ejpam-1373	311	1	434	CARDINAL
ejpam-1373	312	1	3	CARDINAL
ejpam-1373	312	2	u.m. swamy	GPE
ejpam-1373	312	3	g.c. rao	PERSON
ejpam-1373	312	4	v. sita ramaiah	PERSON
ejpam-1373	313	1	indian	NORP
ejpam-1373	313	2	14(12	CARDINAL
ejpam-1373	313	3	1519-1530	CARDINAL
ejpam-1373	314	1	1983	DATE
ejpam-1373	315	1	4	CARDINAL
ejpam-1373	315	2	u.m.	GPE
ejpam-1373	315	3	sagi sankar	PERSON
ejpam-1373	317	1	j. algebra	PERSON
ejpam-1373	318	1	2011	DATE