id	sid	eid	entity	type
ejpam-6418	1	1	european journal	ORG
ejpam-6418	1	2	2025	DATE
ejpam-6418	1	3	18	CARDINAL
ejpam-6418	1	4	4	CARDINAL
ejpam-6418	1	5	6418	CARDINAL
ejpam-6418	1	6	1307-5543	DATE
ejpam-6418	1	7	new york	GPE
ejpam-6418	1	8	sirisetti1	GPE
ejpam-6418	1	9	gunda2	GPE
ejpam-6418	1	10	ravikumar bandaru3	PERSON
ejpam-6418	1	11	1	CARDINAL
ejpam-6418	1	12	aditya university	ORG
ejpam-6418	1	13	surampalem	GPE
ejpam-6418	1	14	kakinada	GPE
ejpam-6418	1	15	andhra pradesh 533437	ORG
ejpam-6418	1	16	india 2 department of bs & h	ORG
ejpam-6418	1	17	aditya institute of technology	ORG
ejpam-6418	1	18	srikakulam	NORP
ejpam-6418	1	19	andhra	GPE
ejpam-6418	1	20	530021	DATE
ejpam-6418	1	21	india 3	ORG
ejpam-6418	1	22	vit-ap university	ORG
ejpam-6418	1	23	522237	DATE
ejpam-6418	1	24	india	GPE
ejpam-6418	1	25	4	CARDINAL
ejpam-6418	1	26	university of phayao	ORG
ejpam-6418	1	27	56000	CARDINAL
ejpam-6418	1	28	thailand	GPE
ejpam-6418	6	1	2020	DATE
ejpam-6418	6	2	1	CARDINAL
ejpam-6418	8	1	1	CARDINAL
ejpam-6418	8	2	bandaru	ORG
ejpam-6418	8	3	ajjarapu	GPE
ejpam-6418	8	4	2	CARDINAL
ejpam-6418	8	5	2	DATE
ejpam-6418	8	6	1	CARDINAL
ejpam-6418	8	7	1	CARDINAL
ejpam-6418	8	8	generalized algebraic	PERSON
ejpam-6418	11	1	r.	NORP
ejpam-6418	11	2	j. gunda	PERSON
ejpam-6418	11	3	r. bandaru	PERSON
ejpam-6418	11	4	thiti.ga@up.ac.th	DATE
ejpam-6418	11	5	1	CARDINAL
ejpam-6418	12	1	2025	CARDINAL
ejpam-6418	14	1	j. pure	PERSON
ejpam-6418	14	2	18	CARDINAL
ejpam-6418	14	3	4	CARDINAL
ejpam-6418	14	4	2025	CARDINAL
ejpam-6418	14	5	6418 2	DATE
ejpam-6418	14	6	13	CARDINAL
ejpam-6418	18	1	2	CARDINAL
ejpam-6418	18	2	3	CARDINAL
ejpam-6418	20	1	4	CARDINAL
ejpam-6418	20	2	5	CARDINAL
ejpam-6418	21	1	2	CARDINAL
ejpam-6418	22	1	6	CARDINAL
ejpam-6418	24	1	2	CARDINAL
ejpam-6418	24	2	1	CARDINAL
ejpam-6418	25	1	2.1	CARDINAL
ejpam-6418	26	1	1	CARDINAL
ejpam-6418	26	2	v,∨,∧	NORP
ejpam-6418	26	3	1	CARDINAL
ejpam-6418	26	4	2	CARDINAL
ejpam-6418	26	5	2	DATE
ejpam-6418	26	6	1	CARDINAL
ejpam-6418	26	7	1	CARDINAL
ejpam-6418	26	8	∈	ORG
ejpam-6418	27	1	1	CARDINAL
ejpam-6418	28	1	1	CARDINAL
ejpam-6418	29	1	r. sirisetti	PERSON
ejpam-6418	30	1	j. pure	PERSON
ejpam-6418	30	2	18	CARDINAL
ejpam-6418	30	3	4	CARDINAL
ejpam-6418	30	4	2025	CARDINAL
ejpam-6418	30	5	6418 3	DATE
ejpam-6418	30	6	13	CARDINAL
ejpam-6418	30	7	2.2	CARDINAL
ejpam-6418	31	1	1	CARDINAL
ejpam-6418	32	1	∨	ORG
ejpam-6418	33	1	v,∨,∧	NORP
ejpam-6418	34	1	2.3	CARDINAL
ejpam-6418	35	1	1	CARDINAL
ejpam-6418	35	2	a. lemma 2.4	PERSON
ejpam-6418	36	1	1	CARDINAL
ejpam-6418	36	2	1	CARDINAL
ejpam-6418	36	3	1	CARDINAL
ejpam-6418	36	4	1 ∨	CARDINAL
ejpam-6418	36	5	1	CARDINAL
ejpam-6418	38	1	1	CARDINAL
ejpam-6418	38	2	2.5	CARDINAL
ejpam-6418	39	1	1	CARDINAL
ejpam-6418	39	2	∈	ORG
ejpam-6418	39	3	∈	ORG
ejpam-6418	39	4	= a. lemma 2.6	PERSON
ejpam-6418	40	1	1	CARDINAL
ejpam-6418	40	2	∈	ORG
ejpam-6418	40	3	∈	ORG
ejpam-6418	40	4	∈	ORG
ejpam-6418	40	5	r. sirisetti et al	PERSON
ejpam-6418	41	1	j. pure	PERSON
ejpam-6418	41	2	18	CARDINAL
ejpam-6418	41	3	4	CARDINAL
ejpam-6418	41	4	2025	CARDINAL
ejpam-6418	41	5	6418 4	DATE
ejpam-6418	41	6	∈	ORG
ejpam-6418	41	7	∈	ORG
ejpam-6418	43	1	∈	ORG
ejpam-6418	43	2	1 ≤	QUANTITY
ejpam-6418	43	3	s.	PERSON
ejpam-6418	44	1	two	CARDINAL
ejpam-6418	44	2	f ∧ g	PRODUCT
ejpam-6418	45	1	g ∈	PERSON
ejpam-6418	46	1	2.7	CARDINAL
ejpam-6418	47	1	1	CARDINAL
ejpam-6418	49	1	∈	ORG
ejpam-6418	57	1	2.8	CARDINAL
ejpam-6418	58	1	1	CARDINAL
ejpam-6418	58	2	2.9	CARDINAL
ejpam-6418	59	1	1	CARDINAL
ejpam-6418	59	2	v,∨,∧	NORP
ejpam-6418	59	3	1	CARDINAL
ejpam-6418	59	4	∈	ORG
ejpam-6418	61	1	r. sirisetti	PERSON
ejpam-6418	62	1	j. pure	PERSON
ejpam-6418	62	2	18	CARDINAL
ejpam-6418	62	3	4	CARDINAL
ejpam-6418	62	4	2025	CARDINAL
ejpam-6418	62	5	6418 5	DATE
ejpam-6418	62	6	13 3	CARDINAL
ejpam-6418	66	1	3.1	CARDINAL
ejpam-6418	67	1	∈	ORG
ejpam-6418	67	2	s. lemma	PERSON
ejpam-6418	67	3	3.2	CARDINAL
ejpam-6418	68	1	∈	ORG
ejpam-6418	68	2	1	CARDINAL
ejpam-6418	69	1	∨ c. proof	PERSON
ejpam-6418	70	1	c,∈	CARDINAL
ejpam-6418	71	1	1	CARDINAL
ejpam-6418	71	2	1	CARDINAL
ejpam-6418	71	3	1	CARDINAL
ejpam-6418	71	4	lemma 2.4((i) & (ii	ORG
ejpam-6418	72	1	lemma 2.3(i	ORG
ejpam-6418	75	1	b∧a	GPE
ejpam-6418	75	2	2.8(vi	CARDINAL
ejpam-6418	77	1	2.1(i	CARDINAL
ejpam-6418	79	1	2.1(i	CARDINAL
ejpam-6418	80	1	2.4(iv	CARDINAL
ejpam-6418	83	1	2.4(iv	CARDINAL
ejpam-6418	86	1	2.1(ii	CARDINAL
ejpam-6418	87	1	r. sirisetti	PERSON
ejpam-6418	88	1	j. pure	PERSON
ejpam-6418	88	2	18	CARDINAL
ejpam-6418	88	3	4	CARDINAL
ejpam-6418	88	4	2025	CARDINAL
ejpam-6418	88	5	6418 6	DATE
ejpam-6418	88	6	13	CARDINAL
ejpam-6418	88	7	∨	CARDINAL
ejpam-6418	88	8	3.3	CARDINAL
ejpam-6418	89	1	∈	ORG
ejpam-6418	90	1	3.4	CARDINAL
ejpam-6418	91	1	1	CARDINAL
ejpam-6418	91	2	∨	CARDINAL
ejpam-6418	91	3	1	CARDINAL
ejpam-6418	91	4	1 1 1	DATE
ejpam-6418	91	5	1	CARDINAL
ejpam-6418	91	6	1	CARDINAL
ejpam-6418	92	1	1	CARDINAL
ejpam-6418	92	2	1	CARDINAL
ejpam-6418	92	3	1	CARDINAL
ejpam-6418	93	1	v,∨,∧	NORP
ejpam-6418	93	2	1	CARDINAL
ejpam-6418	93	3	1	CARDINAL
ejpam-6418	93	4	1)∨	ORDINAL
ejpam-6418	93	5	1	CARDINAL
ejpam-6418	94	1	3.5	CARDINAL
ejpam-6418	96	1	∈	ORG
ejpam-6418	98	1	1	CARDINAL
ejpam-6418	98	2	1	CARDINAL
ejpam-6418	98	3	1	CARDINAL
ejpam-6418	99	1	2.1(v	CARDINAL
ejpam-6418	99	2	2.9	CARDINAL
ejpam-6418	100	1	3.6	CARDINAL
ejpam-6418	102	1	1	CARDINAL
ejpam-6418	102	2	1̄(i	CARDINAL
ejpam-6418	102	3	1	CARDINAL
ejpam-6418	103	1	x||x|∩|y|	CARDINAL
ejpam-6418	105	1	3.7	CARDINAL
ejpam-6418	106	1	1	CARDINAL
ejpam-6418	107	1	∈	ORG
ejpam-6418	107	2	ab2 = a2b	PERSON
ejpam-6418	110	1	a2b = ab2 ⇒	ORG
ejpam-6418	110	2	0	CARDINAL
ejpam-6418	111	1	bb0	PERSON
ejpam-6418	111	2	aa0	NORP
ejpam-6418	111	3	a. r.	PERSON
ejpam-6418	112	1	j. pure	PERSON
ejpam-6418	112	2	18	CARDINAL
ejpam-6418	112	3	4	CARDINAL
ejpam-6418	112	4	2025	CARDINAL
ejpam-6418	112	5	6418 7	DATE
ejpam-6418	112	6	13	CARDINAL
ejpam-6418	112	7	3.8	CARDINAL
ejpam-6418	114	1	3.9	CARDINAL
ejpam-6418	115	1	2.2	CARDINAL
ejpam-6418	115	2	1	CARDINAL
ejpam-6418	116	1	3.10	CARDINAL
ejpam-6418	121	1	l,∨,∧	NORP
ejpam-6418	121	2	1	CARDINAL
ejpam-6418	121	3	1̄(i	CARDINAL
ejpam-6418	121	4	1	CARDINAL
ejpam-6418	121	5	this l	DATE
ejpam-6418	122	1	i0 ∈	ORG
ejpam-6418	123	1	i0	ORG
ejpam-6418	125	1	x(i	PERSON
ejpam-6418	126	1	1	CARDINAL
ejpam-6418	129	1	0})i	CARDINAL
ejpam-6418	130	1	∈	ORG
ejpam-6418	130	2	1	CARDINAL
ejpam-6418	131	1	two	CARDINAL
ejpam-6418	133	1	ps1 ∧ ps2)(i	PRODUCT
ejpam-6418	133	2	ps2 ∧ ps1)(i	PERSON
ejpam-6418	134	1	1	CARDINAL
ejpam-6418	134	2	ps1 ∧ ps2 = ps2 ∧ ps1	ORG
ejpam-6418	135	1	i.	PERSON
ejpam-6418	136	1	∈	ORG
ejpam-6418	137	1	mp	PERSON
ejpam-6418	138	1	3.11	CARDINAL
ejpam-6418	139	1	mm	PERSON
ejpam-6418	139	2	∈	ORG
ejpam-6418	139	3	∈ mm	PERSON
ejpam-6418	140	1	mm	PERSON
ejpam-6418	142	1	= m.	PERSON
ejpam-6418	142	2	m∨a)∧	ORG
ejpam-6418	143	1	b∧a	NORP
ejpam-6418	145	1	mm	PERSON
ejpam-6418	146	1	mm ⊆	ORG
ejpam-6418	146	2	mm ⊆ s	ORG
ejpam-6418	146	3	m∧ a.	PERSON
ejpam-6418	148	1	mm = s.	PERSON
ejpam-6418	148	2	mm	PERSON
ejpam-6418	148	3	r. sirisetti	PERSON
ejpam-6418	149	1	j. pure	PERSON
ejpam-6418	149	2	18	CARDINAL
ejpam-6418	149	3	4	CARDINAL
ejpam-6418	149	4	2025	CARDINAL
ejpam-6418	149	5	6418 8	DATE
ejpam-6418	149	6	13	CARDINAL
ejpam-6418	150	1	∏ i∈∆vi	CARDINAL
ejpam-6418	151	1	3.12	CARDINAL
ejpam-6418	152	1	∏ i∈∆vi	CARDINAL
ejpam-6418	153	1	i∈∆mi	GPE
ejpam-6418	153	2	vi	PERSON
ejpam-6418	157	1	i∈∆mi	GPE
ejpam-6418	159	1	∈	ORG
ejpam-6418	159	2	vi	PERSON
ejpam-6418	160	1	∈	ORG
ejpam-6418	161	1	∈ ∏ j∈∆vj	ORG
ejpam-6418	162	1	1j	CARDINAL
ejpam-6418	162	2	∈	ORG
ejpam-6418	162	3	j ∈	PERSON
ejpam-6418	162	4	d(j	PERSON
ejpam-6418	164	1	∈	ORG
ejpam-6418	165	1	∈	ORG
ejpam-6418	165	2	∈	ORG
ejpam-6418	166	1	i∈∆mi	GPE
ejpam-6418	167	1	i∈∆mi	GPE
ejpam-6418	168	1	3.13	CARDINAL
ejpam-6418	169	1	∈	ORG
ejpam-6418	170	1	∈	ORG
ejpam-6418	173	1	⊆	CARDINAL
ejpam-6418	174	1	∈	ORG
ejpam-6418	175	1	3.14	CARDINAL
ejpam-6418	178	1	1	CARDINAL
ejpam-6418	180	1	∈	ORG
ejpam-6418	181	1	1	CARDINAL
ejpam-6418	181	2	1	CARDINAL
ejpam-6418	181	3	1	CARDINAL
ejpam-6418	181	4	∈	ORG
ejpam-6418	182	1	3.13	CARDINAL
ejpam-6418	182	2	1	CARDINAL
ejpam-6418	182	3	∈	ORG
ejpam-6418	183	1	∈	ORG
ejpam-6418	184	1	3.13	CARDINAL
ejpam-6418	185	1	a = a.	PERSON
ejpam-6418	185	2	∨	ORG
ejpam-6418	185	3	∧.	CARDINAL
ejpam-6418	185	4	2.9	CARDINAL
ejpam-6418	185	5	1	CARDINAL
ejpam-6418	186	1	∈	ORG
ejpam-6418	188	1	2.8(vi	CARDINAL
ejpam-6418	189	1	∈	ORG
ejpam-6418	190	1	3.13	CARDINAL
ejpam-6418	190	2	∈	ORG
ejpam-6418	192	1	3.15	CARDINAL
ejpam-6418	193	1	∈	ORG
ejpam-6418	194	1	3.16	DATE
ejpam-6418	196	1	∈	ORG
ejpam-6418	196	2	3.13	CARDINAL
ejpam-6418	197	1	⊆	CARDINAL
ejpam-6418	197	2	∈	ORG
ejpam-6418	198	1	⊆	CARDINAL
ejpam-6418	198	2	∈	ORG
ejpam-6418	200	1	r.	NORP
ejpam-6418	201	1	j. pure	PERSON
ejpam-6418	201	2	18	CARDINAL
ejpam-6418	201	3	4	CARDINAL
ejpam-6418	201	4	2025	CARDINAL
ejpam-6418	201	5	6418 9	DATE
ejpam-6418	201	6	13	CARDINAL
ejpam-6418	201	7	⊆	CARDINAL
ejpam-6418	201	8	⊆	CARDINAL
ejpam-6418	201	9	⊆	CARDINAL
ejpam-6418	202	1	⊆	CARDINAL
ejpam-6418	202	2	⊆	CARDINAL
ejpam-6418	202	3	∈	ORG
ejpam-6418	203	1	∈	ORG
ejpam-6418	203	2	∈	ORG
ejpam-6418	203	3	ci ⊆	PERSON
ejpam-6418	203	4	⊆	CARDINAL
ejpam-6418	206	1	zorn	ORG
ejpam-6418	206	2	lemma	ORG
ejpam-6418	206	3	q.	PERSON
ejpam-6418	208	1	3.17	CARDINAL
ejpam-6418	210	1	∈	ORG
ejpam-6418	212	1	lemma 2.4(viii	ORG
ejpam-6418	216	1	3.18	CARDINAL
ejpam-6418	219	1	∈	ORG
ejpam-6418	222	1	x(α	PERSON
ejpam-6418	223	1	= s.	PERSON
ejpam-6418	223	2	∈	ORG
ejpam-6418	224	1	a(α ∧ x(α	PERSON
ejpam-6418	224	2	x(α	PERSON
ejpam-6418	226	1	∈	ORG
ejpam-6418	229	1	∈	ORG
ejpam-6418	231	1	x(α	PERSON
ejpam-6418	231	2	∈	ORG
ejpam-6418	232	1	x(α	PERSON
ejpam-6418	232	2	∈	ORG
ejpam-6418	233	1	∈	ORG
ejpam-6418	235	1	3.19	CARDINAL
ejpam-6418	236	1	∈	ORG
ejpam-6418	236	2	3.20	CARDINAL
ejpam-6418	237	1	2.2	CARDINAL
ejpam-6418	237	2	1	CARDINAL
ejpam-6418	239	1	3.21	CARDINAL
ejpam-6418	241	1	mm	PERSON
ejpam-6418	241	2	3.22	CARDINAL
ejpam-6418	242	1	∈	ORG
ejpam-6418	242	2	∈	ORG
ejpam-6418	243	1	= a. r. sirisetti et al	PERSON
ejpam-6418	244	1	j. pure	PERSON
ejpam-6418	244	2	18	CARDINAL
ejpam-6418	244	3	4	CARDINAL
ejpam-6418	244	4	2025	CARDINAL
ejpam-6418	244	5	6418 10	DATE
ejpam-6418	244	6	13	CARDINAL
ejpam-6418	245	1	∈	ORG
ejpam-6418	245	2	∈	ORG
ejpam-6418	247	1	a0 = b∨ a. now	ORG
ejpam-6418	247	2	= a0	PERSON
ejpam-6418	247	3	lemma 2.4(viii	ORG
ejpam-6418	247	4	= a0.	PERSON
ejpam-6418	248	1	a0 ∼ b.	ORG
ejpam-6418	248	2	∈	ORG
ejpam-6418	248	3	∈	ORG
ejpam-6418	251	1	⊆	CARDINAL
ejpam-6418	254	1	2.8(iii	DATE
ejpam-6418	256	1	⊆	CARDINAL
ejpam-6418	260	1	∈	ORG
ejpam-6418	264	1	a0	ORG
ejpam-6418	264	2	∈	ORG
ejpam-6418	264	3	∨ c. therefore	PERSON
ejpam-6418	265	1	a0 ∨	ORG
ejpam-6418	269	1	3.23	CARDINAL
ejpam-6418	270	1	η	ORG
ejpam-6418	271	1	∈	ORG
ejpam-6418	271	2	∈	ORG
ejpam-6418	279	1	η	PERSON
ejpam-6418	289	1	η	PERSON
ejpam-6418	289	2	3.24	CARDINAL
ejpam-6418	290	1	∈	ORG
ejpam-6418	290	2	1	CARDINAL
ejpam-6418	291	1	1	CARDINAL
ejpam-6418	293	1	∈	ORG
ejpam-6418	293	2	∈	ORG
ejpam-6418	293	3	1	CARDINAL
ejpam-6418	295	1	1	CARDINAL
ejpam-6418	296	1	1	CARDINAL
ejpam-6418	297	1	1	CARDINAL
ejpam-6418	298	1	1	CARDINAL
ejpam-6418	298	2	∈	ORG
ejpam-6418	298	3	1	CARDINAL
ejpam-6418	298	4	∈	ORG
ejpam-6418	300	1	1	CARDINAL
ejpam-6418	300	2	∈	ORG
ejpam-6418	300	3	1	CARDINAL
ejpam-6418	300	4	1	CARDINAL
ejpam-6418	301	1	1	CARDINAL
ejpam-6418	302	1	3.25	CARDINAL
ejpam-6418	303	1	1	CARDINAL
ejpam-6418	304	1	η	ORG
ejpam-6418	305	1	3.26	CARDINAL
ejpam-6418	306	1	∈	ORG
ejpam-6418	308	1	∈	ORG
ejpam-6418	308	2	3.22	CARDINAL
ejpam-6418	310	1	∈	PRODUCT
ejpam-6418	310	2	∩	ORG
ejpam-6418	311	1	∈	ORG
ejpam-6418	311	2	∩	ORG
ejpam-6418	311	3	∈	ORG
ejpam-6418	312	1	∈	ORG
ejpam-6418	313	1	∈	ORG
ejpam-6418	315	1	∩	PERSON
ejpam-6418	316	1	∩	PERSON
ejpam-6418	316	2	∈	ORG
ejpam-6418	316	3	∈	ORG
ejpam-6418	317	1	∩	PERSON
ejpam-6418	320	1	∈	ORG
ejpam-6418	323	1	∈	ORG
ejpam-6418	323	2	∩	PERSON
ejpam-6418	324	1	∈	ORG
ejpam-6418	327	1	∈	ORG
ejpam-6418	329	1	r. sirisetti	PERSON
ejpam-6418	330	1	j. pure	PERSON
ejpam-6418	330	2	18	CARDINAL
ejpam-6418	330	3	4	CARDINAL
ejpam-6418	330	4	2025	CARDINAL
ejpam-6418	330	5	6418 11	DATE
ejpam-6418	330	6	13	CARDINAL
ejpam-6418	330	7	3.27	CARDINAL
ejpam-6418	332	1	mx	PRODUCT
ejpam-6418	332	2	∈	ORG
ejpam-6418	334	1	∈	ORG
ejpam-6418	336	1	lemma 2.4(viii	ORG
ejpam-6418	338	1	∈	ORG
ejpam-6418	340	1	lemma 2.4(viii	ORG
ejpam-6418	340	2	mx	PRODUCT
ejpam-6418	341	1	3.28	CARDINAL
ejpam-6418	345	1	∈	ORG
ejpam-6418	346	1	f(a∧	ORG
ejpam-6418	346	2	f(b	GPE
ejpam-6418	346	3	f(a ∨	ORG
ejpam-6418	346	4	f(b	GPE
ejpam-6418	346	5	∈	ORG
ejpam-6418	348	1	f(b	GPE
ejpam-6418	349	1	∈	ORG
ejpam-6418	356	1	3.22	CARDINAL
ejpam-6418	359	1	x0	ORG
ejpam-6418	361	1	3.29	CARDINAL
ejpam-6418	365	1	g(f	GPE
ejpam-6418	370	1	∈	ORG
ejpam-6418	371	1	⊆	CARDINAL
ejpam-6418	375	1	x0	ORG
ejpam-6418	375	2	x0	PERSON
ejpam-6418	377	1	⊆	CARDINAL
ejpam-6418	378	1	x0	ORG
ejpam-6418	380	1	x0	ORG
ejpam-6418	380	2	⊆	CARDINAL
ejpam-6418	382	1	⊆	CARDINAL
ejpam-6418	382	2	one-one	CARDINAL
ejpam-6418	383	1	k ∈	PERSON
ejpam-6418	387	1	x0	ORG
ejpam-6418	388	1	y ∈ q.	PERSON
ejpam-6418	388	2	x0	ORG
ejpam-6418	390	1	x0	ORG
ejpam-6418	397	1	x0∧y0	PERSON
ejpam-6418	402	1	∈	ORG
ejpam-6418	409	1	x0 ∨	CARDINAL
ejpam-6418	410	1	x0 ∨	ORG
ejpam-6418	410	2	∈	ORG
ejpam-6418	410	3	g(q	PERSON
ejpam-6418	414	1	3.30	CARDINAL
ejpam-6418	415	1	v,∨,∧	NORP
ejpam-6418	415	2	1	CARDINAL
ejpam-6418	415	3	r. sirisetti et al	PERSON
ejpam-6418	416	1	j. pure	PERSON
ejpam-6418	416	2	18	CARDINAL
ejpam-6418	416	3	4	CARDINAL
ejpam-6418	416	4	2025	CARDINAL
ejpam-6418	416	5	6418 12	DATE
ejpam-6418	416	6	13	CARDINAL
ejpam-6418	416	7	3.31	CARDINAL
ejpam-6418	419	1	∈	ORG
ejpam-6418	421	1	∈	ORG
ejpam-6418	422	1	∈	ORG
ejpam-6418	423	1	⊆	CARDINAL
ejpam-6418	430	1	3.30	CARDINAL
ejpam-6418	432	1	3.32	CARDINAL
ejpam-6418	436	1	∈	ORG
ejpam-6418	438	1	3.22	CARDINAL
ejpam-6418	439	1	a0 ∨	ORG
ejpam-6418	439	2	∨ a0	PERSON
ejpam-6418	439	3	∈	ORG
ejpam-6418	439	4	a0 ∨	ORG
ejpam-6418	440	1	lemma 2.4(viii	ORG
ejpam-6418	444	1	a0 ∧	ORG
ejpam-6418	445	1	∈	ORG
ejpam-6418	445	2	1	CARDINAL
ejpam-6418	446	1	∨ 1	CARDINAL
ejpam-6418	446	2	1	CARDINAL
ejpam-6418	446	3	1	CARDINAL
ejpam-6418	446	4	a0 ∧	ORG
ejpam-6418	446	5	2.4(iv	CARDINAL
ejpam-6418	452	1	2.4(vi)(viii	CARDINAL
ejpam-6418	453	1	1	CARDINAL
ejpam-6418	453	2	a0 ∈	ORG
ejpam-6418	454	1	2.4(iv	CARDINAL
ejpam-6418	457	1	≤ 1	CARDINAL
ejpam-6418	458	1	1 and a∧	CARDINAL
ejpam-6418	459	1	r. sirisetti	PERSON
ejpam-6418	460	1	j. pure	PERSON
ejpam-6418	460	2	18	CARDINAL
ejpam-6418	460	3	4	CARDINAL
ejpam-6418	460	4	2025	CARDINAL
ejpam-6418	460	5	6418 13	DATE
ejpam-6418	460	6	13 4	DATE
ejpam-6418	465	1	5	CARDINAL
ejpam-6418	466	1	university of phayao	ORG
ejpam-6418	466	2	thailand science	ORG
ejpam-6418	466	3	2026	CARDINAL
ejpam-6418	466	4	2287/2568	PERSON
ejpam-6418	467	1	1	CARDINAL
ejpam-6418	467	2	ravikumar bandaru	PERSON
ejpam-6418	467	3	suryavardhani ajjarapu	PERSON
ejpam-6418	468	1	paradistributive latticoids	ORG
ejpam-6418	469	1	european	NORP
ejpam-6418	469	2	17:819–834	CARDINAL
ejpam-6418	469	3	2024	DATE
ejpam-6418	470	1	2	CARDINAL
ejpam-6418	470	2	g. birkhoff	PERSON
ejpam-6418	472	1	amer	PERSON
ejpam-6418	474	1	collequium pub, 1967	ORG
ejpam-6418	475	1	3	CARDINAL
ejpam-6418	475	2	y. l. ershov	PERSON
ejpam-6418	477	1	459	CARDINAL
ejpam-6418	477	2	1978	DATE
ejpam-6418	478	1	4	CARDINAL
ejpam-6418	478	2	ravikumar bandaru	PERSON
ejpam-6418	478	3	prashant patel	PERSON
ejpam-6418	478	4	noorbhasha rafi	PERSON
ejpam-6418	478	5	rahul shukla	PERSON
ejpam-6418	478	6	suryavardhani ajjarapu	PERSON
ejpam-6418	480	1	european	NORP
ejpam-6418	480	2	17:1306–1320	DATE
ejpam-6418	480	3	2024	DATE
ejpam-6418	481	1	5	CARDINAL
ejpam-6418	481	2	suryavardhani ajjarapu	PERSON
ejpam-6418	481	3	ravikumar bandaru	PERSON
ejpam-6418	481	4	rahul shukla	PERSON
ejpam-6418	481	5	bae	ORG
ejpam-6418	482	1	european	NORP
ejpam-6418	482	2	17:1129–1145	DATE
ejpam-6418	482	3	2024	DATE
ejpam-6418	483	1	6	CARDINAL
ejpam-6418	483	2	g. boole	PERSON
ejpam-6418	485	1	court publishing co.	ORG
ejpam-6418	485	2	chelsea	GPE
ejpam-6418	485	3	london	GPE
ejpam-6418	485	4	1940	DATE
ejpam-6418	486	1	1854	DATE
