id	sid	eid	entity	type
cana-610	1	1	1074	CARDINAL
cana-610	1	2	31	CARDINAL
cana-610	1	3	2	CARDINAL
cana-610	1	4	2024	CARDINAL
cana-610	1	5	409	CARDINAL
cana-610	1	6	sherpa1	PERSON
cana-610	1	7	vilas kharat2	GPE
cana-610	1	8	manish agalave3	PERSON
cana-610	1	9	gandal4	PERSON
cana-610	1	10	phadatare5	GPE
cana-610	2	1	savitribai phule pune university, pune-411 007 (	ORG
cana-610	3	1	3department	CARDINAL
cana-610	3	2	fergusson college(autonomus	ORG
cana-610	3	3	pune-411 004 (	ORG
cana-610	3	4	india	GPE
cana-610	3	5	4smt	CARDINAL
cana-610	3	6	kashibai navale college of engineering	EVENT
cana-610	3	7	pune	GPE
cana-610	3	8	india	GPE
cana-610	4	1	5bharati	CARDINAL
cana-610	4	2	vidyapeeth	PERSON
cana-610	4	3	043	CARDINAL
cana-610	5	1	18-02-2024	CARDINAL
cana-610	5	2	20-04-2024	CARDINAL
cana-610	5	3	12-05-2024	CARDINAL
cana-610	11	1	1	CARDINAL
cana-610	12	1	1988	DATE
cana-610	12	2	i. beck	PERSON
cana-610	13	1	i. beck	PERSON
cana-610	13	2	zero	CARDINAL
cana-610	13	3	two	CARDINAL
cana-610	13	4	zero	CARDINAL
cana-610	13	5	5	CARDINAL
cana-610	15	1	9]-[10	CARDINAL
cana-610	15	2	12	CARDINAL
cana-610	17	1	m. behboodi et	PERSON
cana-610	18	1	al	PERSON
cana-610	18	2	6]-[7	CARDINAL
cana-610	20	1	multiplicative	NORP
cana-610	21	1	1.1	CARDINAL
cana-610	22	1	multiplicative	NORP
cana-610	22	2	0,1,∗	DATE
cana-610	22	3	0	CARDINAL
cana-610	22	4	1	CARDINAL
cana-610	22	5	∈	ORG
cana-610	23	1	1	CARDINAL
cana-610	23	2	∗	CARDINAL
cana-610	23	3	2	CARDINAL
cana-610	23	4	∗	CARDINAL
cana-610	23	5	∗ a.	ORG
cana-610	23	6	1074	CARDINAL
cana-610	23	7	31	CARDINAL
cana-610	23	8	2	CARDINAL
cana-610	23	9	2024	CARDINAL
cana-610	23	10	410	CARDINAL
cana-610	23	11	3	CARDINAL
cana-610	24	1	∗	CARDINAL
cana-610	24	2	∗	CARDINAL
cana-610	25	1	4.	CARDINAL
cana-610	26	1	∈ £	MONEY
cana-610	28	1	5	CARDINAL
cana-610	28	2	1	CARDINAL
cana-610	29	1	∈	ORG
cana-610	32	1	multiplicative	NORP
cana-610	32	2	multiplicative	NORP
cana-610	32	3	1	CARDINAL
cana-610	32	4	multiplicative	NORP
cana-610	33	1	1	CARDINAL
cana-610	34	1	multiplicative	NORP
cana-610	34	2	m(£	PERSON
cana-610	35	1	multiplicative	NORP
cana-610	35	2	1	CARDINAL
cana-610	35	3	∈	PERSON
cana-610	37	1	£	MONEY
cana-610	37	2	ab ≤ p	ORG
cana-610	38	1	⊆	CARDINAL
cana-610	39	1	multiplicative	NORP
cana-610	40	1	£ and two	CARDINAL
cana-610	40	2	∈ s.	PERSON
cana-610	41	1	multiplicative lattice £	ORG
cana-610	41	2	m(£	PERSON
cana-610	42	1	2	CARDINAL
cana-610	43	1	deg(b	PERSON
cana-610	44	1	d(a	GPE
cana-610	44	2	d(a	GPE
cana-610	46	1	c)|a	ORG
cana-610	46	2	∈	ORG
cana-610	49	1	⊆	CARDINAL
cana-610	49	2	two	CARDINAL
cana-610	50	1	α(g	PERSON
cana-610	50	2	⊆	CARDINAL
cana-610	51	1	γ(g	NORP
cana-610	52	1	11	CARDINAL
cana-610	52	2	14	CARDINAL
cana-610	53	1	1074	CARDINAL
cana-610	53	2	31	CARDINAL
cana-610	53	3	2	CARDINAL
cana-610	53	4	2024	CARDINAL
cana-610	53	5	411	CARDINAL
cana-610	53	6	3	CARDINAL
cana-610	56	1	3.1	CARDINAL
cana-610	59	1	two	CARDINAL
cana-610	59	2	∈ s.	PERSON
cana-610	59	3	3.2	CARDINAL
cana-610	60	1	1	CARDINAL
cana-610	60	2	multiplicative	NORP
cana-610	60	3	2	CARDINAL
cana-610	61	1	1	CARDINAL
cana-610	61	2	3.3	CARDINAL
cana-610	62	1	∈	ORG
cana-610	62	2	3.4	CARDINAL
cana-610	66	1	zero	CARDINAL
cana-610	66	2	£	CARDINAL
cana-610	67	1	m1 ∼ p1 ∼ •••	PRODUCT
cana-610	67	2	m1 and m2	PERSON
cana-610	69	1	p1 ≤	PRODUCT
cana-610	69	2	∈	ORG
cana-610	69	3	m1 ∧ m.	PRODUCT
cana-610	69	4	s is ∧-min	ORG
cana-610	69	5	0	CARDINAL
cana-610	69	6	m1 = m.	PERSON
cana-610	69	7	m1 = m2	PERSON
cana-610	71	1	3.5	CARDINAL
cana-610	76	1	0	CARDINAL
cana-610	76	2	q. hence	PERSON
cana-610	78	1	p1 ∨ p2 ≤ m. therefore,	PRODUCT
cana-610	80	1	1	CARDINAL
cana-610	80	2	1074	CARDINAL
cana-610	80	3	31	CARDINAL
cana-610	80	4	2	CARDINAL
cana-610	80	5	2024	CARDINAL
cana-610	80	6	412	CARDINAL
cana-610	80	7	3.5	CARDINAL
cana-610	81	1	3.6	CARDINAL
cana-610	86	1	3.7	CARDINAL
cana-610	88	1	£	CARDINAL
cana-610	92	1	£	CARDINAL
cana-610	92	2	m1 ∼ m2	PRODUCT
cana-610	92	3	∈	PERSON
cana-610	93	1	≠ 1	PERSON
cana-610	93	2	m1 ∨ m2	PRODUCT
cana-610	93	3	1	CARDINAL
cana-610	94	1	m.	PERSON
cana-610	94	2	p1 ∨ p2 ≤	PRODUCT
cana-610	96	1	3.8	CARDINAL
cana-610	101	1	two	CARDINAL
cana-610	101	2	∈	ORG
cana-610	102	1	∈	ORG
cana-610	102	2	0	CARDINAL
cana-610	102	3	two	CARDINAL
cana-610	105	1	3.9	CARDINAL
cana-610	107	1	£	CARDINAL
cana-610	108	1	3.10	CARDINAL
cana-610	114	1	= m2	PERSON
cana-610	115	1	m1 ∧ m2	PRODUCT
cana-610	116	1	0	CARDINAL
cana-610	117	1	0	DATE
cana-610	117	2	£	CARDINAL
cana-610	118	1	2	CARDINAL
cana-610	118	2	at least two	CARDINAL
cana-610	118	3	p1 ≤ p2 ≤ p3	PRODUCT
cana-610	119	1	0	CARDINAL
cana-610	120	1	∈	ORG
cana-610	120	2	p1 ∨ p2 ≤ m	ORG
cana-610	120	3	p1 ∨	PRODUCT
cana-610	123	1	3.11	CARDINAL
cana-610	127	1	£	CARDINAL
cana-610	129	1	1074	CARDINAL
cana-610	129	2	31	CARDINAL
cana-610	129	3	2	CARDINAL
cana-610	129	4	2024	CARDINAL
cana-610	129	5	413	CARDINAL
cana-610	129	6	∈	PERSON
cana-610	132	1	3.12	CARDINAL
cana-610	133	1	13	CARDINAL
cana-610	133	2	multiplicative	NORP
cana-610	133	3	1	CARDINAL
cana-610	134	1	∈	ORG
cana-610	134	2	∈	ORG
cana-610	134	3	3.13	CARDINAL
cana-610	136	1	2	CARDINAL
cana-610	137	1	3	CARDINAL
cana-610	139	1	1	CARDINAL
cana-610	140	1	3.12	CARDINAL
cana-610	140	2	a1 ≤ m.	PRODUCT
cana-610	140	3	a0 ∨	LAW
cana-610	140	4	= m. theorem 3.14	PERSON
cana-610	142	1	1	CARDINAL
cana-610	146	1	1	CARDINAL
cana-610	146	2	3.13	CARDINAL
cana-610	147	1	∈	PERSON
cana-610	147	2	σ(£	ORG
cana-610	149	1	1	CARDINAL
cana-610	154	1	3.15	CARDINAL
cana-610	160	1	∈	ORG
cana-610	160	2	at least one	CARDINAL
cana-610	160	3	1 ≤ j ≤	QUANTITY
cana-610	162	1	∉ τ	PERSON
cana-610	163	1	∉	ORG
cana-610	166	1	∈	ORG
cana-610	167	1	∈	ORG
cana-610	167	2	1	CARDINAL
cana-610	167	3	3.12	CARDINAL
cana-610	167	4	∈	PERSON
cana-610	168	1	8	CARDINAL
cana-610	168	2	f. callialp	PERSON
cana-610	169	1	al	PERSON
cana-610	170	1	∈	ORG
cana-610	170	2	∈	ORG
cana-610	171	1	f. callialp	PERSON
cana-610	172	1	al	PERSON
cana-610	173	1	3.16	CARDINAL
cana-610	173	2	8	CARDINAL
cana-610	174	1	3.16	CARDINAL
cana-610	175	1	8	CARDINAL
cana-610	175	2	∈	ORG
cana-610	176	1	1074	CARDINAL
cana-610	176	2	31	CARDINAL
cana-610	176	3	2	CARDINAL
cana-610	176	4	2024	CARDINAL
cana-610	176	5	414	CARDINAL
cana-610	177	1	ϑ(1	ORG
cana-610	177	2	2	CARDINAL
cana-610	178	1	3.	CARDINAL
cana-610	179	1	∈	ORG
cana-610	180	1	3.17	CARDINAL
cana-610	181	1	3.17	CARDINAL
cana-610	182	1	£	CARDINAL
cana-610	187	1	£	MONEY
cana-610	187	2	ϑ(b	PERSON
cana-610	187	3	∈	PRODUCT
cana-610	188	1	q.	PERSON
cana-610	188	2	∈	ORG
cana-610	191	1	∈	PRODUCT
cana-610	192	1	∈	PRODUCT
cana-610	193	1	mn ∈ ϑ(b	ORG
cana-610	195	1	2	CARDINAL
cana-610	197	1	1	CARDINAL
cana-610	197	2	3.12	CARDINAL
cana-610	197	3	4	CARDINAL
cana-610	197	4	2|σmin(£)|	CARDINAL
cana-610	197	5	2	CARDINAL
cana-610	198	1	1 ≤	QUANTITY
cana-610	198	2	∈	ORG
cana-610	198	3	∈	ORG
cana-610	198	4	∉ ϑ(ai	ORG
cana-610	199	1	1 ≤	CARDINAL
cana-610	200	1	ϑ(𝑎𝑖𝑙	CARDINAL
cana-610	200	2	1 ≤ l ≤	QUANTITY
cana-610	200	3	≠ ∅	PERSON
cana-610	200	4	+1 𝑙2	QUANTITY
cana-610	200	5	2|σmin(£)|	CARDINAL
cana-610	201	1	£	CARDINAL
cana-610	203	1	1	CARDINAL
cana-610	203	2	s. akbari	PERSON
cana-610	203	3	a. mohammadian	PERSON
cana-610	203	4	zero	CARDINAL
cana-610	203	5	j. algebra	PERSON
cana-610	203	6	274(2)(2004),847-855	CARDINAL
cana-610	204	1	2	CARDINAL
cana-610	204	2	d. f. anderson	PERSON
cana-610	204	3	r. levy	PERSON
cana-610	204	4	j. shapiro	PERSON
cana-610	204	5	zero	CARDINAL
cana-610	204	6	von neumann	PERSON
cana-610	204	7	boolean algebras	ORG
cana-610	205	1	180(2003	CARDINAL
cana-610	205	2	221	CARDINAL
cana-610	206	1	3	CARDINAL
cana-610	206	2	anderson	PERSON
cana-610	206	3	m. naseer	PERSON
cana-610	206	4	beck	PERSON
cana-610	206	5	j. algebra	PERSON
cana-610	206	6	159(1993	CARDINAL
cana-610	206	7	500	CARDINAL
cana-610	207	1	4	CARDINAL
cana-610	207	2	d. f. anderson	PERSON
cana-610	207	3	p. s. livingston	PERSON
cana-610	207	4	zero	CARDINAL
cana-610	207	5	j. algebra	PERSON
cana-610	207	6	217(2)(1999	CARDINAL
cana-610	207	7	434	CARDINAL
cana-610	208	1	5	CARDINAL
cana-610	208	2	i. beck	PERSON
cana-610	208	3	j. algebra	PERSON
cana-610	208	4	208	CARDINAL
cana-610	209	1	6	CARDINAL
cana-610	209	2	z. rakeei z	PERSON
cana-610	209	3	2011	DATE
cana-610	209	4	727	CARDINAL
cana-610	210	1	7	CARDINAL
cana-610	210	2	m. behboodi	PERSON
cana-610	210	3	z. rakeei z	PERSON
cana-610	210	4	j. algebra	PERSON
cana-610	210	5	2011	DATE
cana-610	210	6	741	CARDINAL
cana-610	211	1	8	CARDINAL
cana-610	211	2	f. callialp	PERSON
cana-610	211	3	turk	GPE
cana-610	212	1	j. math	PERSON
cana-610	212	2	1074	CARDINAL
cana-610	212	3	31	CARDINAL
cana-610	212	4	2	CARDINAL
cana-610	212	5	2024	CARDINAL
cana-610	213	1	415	CARDINAL
cana-610	213	2	41(2017	CARDINAL
cana-610	213	3	326	CARDINAL
cana-610	214	1	9	CARDINAL
cana-610	214	2	r. mary	PERSON
cana-610	214	3	j. maths	PERSON
cana-610	214	4	2022(2022	CARDINAL
cana-610	214	5	article id 2892841	LAW
cana-610	214	6	6	CARDINAL
cana-610	216	1	10	CARDINAL
cana-610	216	2	r. mary	PERSON
cana-610	216	3	maths	ORG
cana-610	216	4	7(2)(2021	DATE
cana-610	216	5	2634–2645	CARDINAL
cana-610	217	1	10.3934/math.2022148	MONEY
cana-610	218	1	11	CARDINAL
cana-610	218	2	f. harary	PERSON
cana-610	218	3	narosa	ORG
cana-610	218	4	new delhi	GPE
cana-610	218	5	1988	DATE
cana-610	219	1	12	CARDINAL
cana-610	219	2	s. ballal	PERSON
cana-610	219	3	23	CARDINAL
cana-610	219	4	2019	DATE
cana-610	219	5	3973	CARDINAL
cana-610	220	1	13	CARDINAL
cana-610	220	2	n. k. thakare	PERSON
cana-610	220	3	c. s. manjarekar	PERSON
cana-610	220	4	s. maeda	PERSON
cana-610	221	1	acta sci.	PERSON
cana-610	221	2	53-67	CARDINAL
cana-610	222	1	14	CARDINAL
cana-610	222	2	d.b. west	PERSON
cana-610	222	3	second	ORDINAL
cana-610	222	4	prentice-hall of india	ORG
cana-610	222	5	new delhi	GPE
cana-610	222	6	2002	DATE