id	sid	eid	entity	type
ejpam-4618	1	1	european journal	ORG
ejpam-4618	2	1	16	CARDINAL
ejpam-4618	2	2	1	CARDINAL
ejpam-4618	2	3	2023	CARDINAL
ejpam-4618	2	4	253	CARDINAL
ejpam-4618	3	1	new york	GPE
ejpam-4618	3	2	ku	GPE
ejpam-4618	3	3	halimah alshehri department of computer science	ORG
ejpam-4618	3	4	king saud university	ORG
ejpam-4618	3	5	riyadh	GPE
ejpam-4618	3	6	saudi arabia	GPE
ejpam-4618	4	1	ku	NORP
ejpam-4618	5	1	ku	NORP
ejpam-4618	5	2	ku	NORP
ejpam-4618	5	3	2020	DATE
ejpam-4618	5	4	03b52, 03e72	CARDINAL
ejpam-4618	5	5	08a72	CARDINAL
ejpam-4618	5	6	ku-algebras	PERSON
ejpam-4618	5	7	ku	NORP
ejpam-4618	5	8	ku	NORP
ejpam-4618	5	9	1	CARDINAL
ejpam-4618	7	1	11	CARDINAL
ejpam-4618	9	1	8	CARDINAL
ejpam-4618	9	2	9	CARDINAL
ejpam-4618	9	3	ku-algebras	ORG
ejpam-4618	10	1	mostafa et al	PERSON
ejpam-4618	11	1	ku	NORP
ejpam-4618	11	2	ku-algebras	ORG
ejpam-4618	11	3	ku	NORP
ejpam-4618	12	1	akram	PERSON
ejpam-4618	13	1	3	CARDINAL
ejpam-4618	14	1	ahmad	PERSON
ejpam-4618	17	1	ku	NORP
ejpam-4618	17	2	ku-algebras	GPE
ejpam-4618	18	1	ku	NORP
ejpam-4618	19	1	ku	NORP
ejpam-4618	19	2	ku	NORP
ejpam-4618	20	1	ku	NORP
ejpam-4618	21	1	haalshehri@ksu.edu.sa	PERSON
ejpam-4618	21	2	h. alshehri	PERSON
ejpam-4618	22	1	253	CARDINAL
ejpam-4618	22	2	2023	CARDINAL
ejpam-4618	23	1	h. alshehri	PERSON
ejpam-4618	24	1	j. pure	PERSON
ejpam-4618	24	2	16	CARDINAL
ejpam-4618	24	3	1	CARDINAL
ejpam-4618	24	4	2023	CARDINAL
ejpam-4618	24	5	253-260	QUANTITY
ejpam-4618	24	6	first	ORDINAL
ejpam-4618	25	1	ku	NORP
ejpam-4618	26	1	1	CARDINAL
ejpam-4618	27	1	∗	CARDINAL
ejpam-4618	27	2	ku	PERSON
ejpam-4618	28	1	∗	CARDINAL
ejpam-4618	28	2	∗ w	ORG
ejpam-4618	29	1	0	CARDINAL
ejpam-4618	29	2	∗	CARDINAL
ejpam-4618	29	3	∗	CARDINAL
ejpam-4618	29	4	0	CARDINAL
ejpam-4618	29	5	0	CARDINAL
ejpam-4618	29	6	∗	CARDINAL
ejpam-4618	29	7	u ≤ v ⇐⇒ v ∗	LAW
ejpam-4618	29	8	0	CARDINAL
ejpam-4618	30	1	0	CARDINAL
ejpam-4618	31	1	∗	CARDINAL
ejpam-4618	31	2	w ∈	PERSON
ejpam-4618	31	3	1	CARDINAL
ejpam-4618	31	4	∗ w	ORG
ejpam-4618	31	5	∗	CARDINAL
ejpam-4618	31	6	2	CARDINAL
ejpam-4618	31	7	0 ≤	MONEY
ejpam-4618	31	8	3	CARDINAL
ejpam-4618	31	9	4	CARDINAL
ejpam-4618	31	10	∗	CARDINAL
ejpam-4618	31	11	ku	PERSON
ejpam-4618	31	12	∈	ORG
ejpam-4618	31	13	nonempty	ORG
ejpam-4618	31	14	ku	NORP
ejpam-4618	32	1	∗ w	ORG
ejpam-4618	32	2	∈	ORG
ejpam-4618	35	1	w ∈	PERSON
ejpam-4618	35	2	1	CARDINAL
ejpam-4618	35	3	7	CARDINAL
ejpam-4618	36	1	ku	NORP
ejpam-4618	36	2	∗	CARDINAL
ejpam-4618	36	3	1	CARDINAL
ejpam-4618	36	4	∗ w ≤	ORG
ejpam-4618	36	5	2	CARDINAL
ejpam-4618	36	6	∗ w	ORG
ejpam-4618	36	7	∗	CARDINAL
ejpam-4618	36	8	3	CARDINAL
ejpam-4618	36	9	∗	CARDINAL
ejpam-4618	36	10	2	CARDINAL
ejpam-4618	36	11	7	CARDINAL
ejpam-4618	37	1	ku	NORP
ejpam-4618	37	2	µ(u ∗	PERSON
ejpam-4618	37	3	min{µ(u	CARDINAL
ejpam-4618	37	4	µ(v	PERSON
ejpam-4618	38	1	3	CARDINAL
ejpam-4618	39	1	ku	NORP
ejpam-4618	40	1	ku	NORP
ejpam-4618	40	2	∗ w	ORG
ejpam-4618	40	3	µ(v	PERSON
ejpam-4618	40	4	w ∈	PERSON
ejpam-4618	41	1	1	CARDINAL
ejpam-4618	41	2	7	CARDINAL
ejpam-4618	42	1	ku	NORP
ejpam-4618	42	2	1	CARDINAL
ejpam-4618	42	3	7	CARDINAL
ejpam-4618	43	1	ku	NORP
ejpam-4618	43	2	µ(u	GPE
ejpam-4618	43	3	h. alshehri	PERSON
ejpam-4618	44	1	j. pure	PERSON
ejpam-4618	44	2	16	CARDINAL
ejpam-4618	44	3	1	CARDINAL
ejpam-4618	44	4	2023	CARDINAL
ejpam-4618	44	5	253-260 255	QUANTITY
ejpam-4618	44	6	2	CARDINAL
ejpam-4618	44	7	7	CARDINAL
ejpam-4618	45	1	ku	NORP
ejpam-4618	45	2	ku	NORP
ejpam-4618	45	3	5	CARDINAL
ejpam-4618	46	1	0	CARDINAL
ejpam-4618	46	2	1]m	CARDINAL
ejpam-4618	49	1	0	CARDINAL
ejpam-4618	49	2	1	CARDINAL
ejpam-4618	49	3	0	CARDINAL
ejpam-4618	49	4	1	CARDINAL
ejpam-4618	49	5	1	CARDINAL
ejpam-4618	49	6	2	DATE
ejpam-4618	49	7	m.	PERSON
ejpam-4618	49	8	u(ô	ORG
ejpam-4618	49	9	r̂	PERSON
ejpam-4618	50	1	∈	ORG
ejpam-4618	50	2	u(ô	ORG
ejpam-4618	50	3	r̂	PERSON
ejpam-4618	50	4	∈	PRODUCT
ejpam-4618	50	5	1	CARDINAL
ejpam-4618	50	6	2	DATE
ejpam-4618	50	7	ô.	PERSON
ejpam-4618	50	8	0	CARDINAL
ejpam-4618	50	9	1]m	CARDINAL
ejpam-4618	50	10	0̂	CARDINAL
ejpam-4618	50	11	0	CARDINAL
ejpam-4618	50	12	0	DATE
ejpam-4618	50	13	ut̂	ORG
ejpam-4618	50	14	ut̂ ∈	ORG
ejpam-4618	51	1	1	CARDINAL
ejpam-4618	51	2	2	DATE
ejpam-4618	51	3	m. definition	PERSON
ejpam-4618	51	4	4 (	PERCENT
ejpam-4618	51	5	4	CARDINAL
ejpam-4618	53	1	1	CARDINAL
ejpam-4618	53	2	2	DATE
ejpam-4618	53	3	m. definition	PERSON
ejpam-4618	53	4	5	CARDINAL
ejpam-4618	53	5	4	CARDINAL
ejpam-4618	54	1	min{(πi	DATE
ejpam-4618	54	2	1	CARDINAL
ejpam-4618	54	3	2	DATE
ejpam-4618	54	4	m. h. alshehri	PERSON
ejpam-4618	55	1	j. pure	PERSON
ejpam-4618	55	2	16	CARDINAL
ejpam-4618	55	3	1	CARDINAL
ejpam-4618	55	4	2023	CARDINAL
ejpam-4618	55	5	253-260	QUANTITY
ejpam-4618	56	1	ku	NORP
ejpam-4618	56	2	ku	PERSON
ejpam-4618	56	3	ku	NORP
ejpam-4618	56	4	ku	NORP
ejpam-4618	56	5	ku-algebras	GPE
ejpam-4618	57	1	6	CARDINAL
ejpam-4618	58	1	ku	NORP
ejpam-4618	58	2	x.	PRODUCT
ejpam-4618	58	3	∗	CARDINAL
ejpam-4618	58	4	1	CARDINAL
ejpam-4618	59	1	1	CARDINAL
ejpam-4618	59	2	2	DATE
ejpam-4618	59	3	m. example 1	PERSON
ejpam-4618	60	1	0	CARDINAL
ejpam-4618	60	2	1	DATE
ejpam-4618	60	3	2	DATE
ejpam-4618	60	4	3	DATE
ejpam-4618	60	5	4	CARDINAL
ejpam-4618	60	6	0	CARDINAL
ejpam-4618	61	1	2 3 3 2	TIME
ejpam-4618	61	2	0 1 4 3	DATE
ejpam-4618	61	3	3-polar	QUANTITY
ejpam-4618	61	4	0	CARDINAL
ejpam-4618	61	5	1]3	CARDINAL
ejpam-4618	61	6		CARDINAL
ejpam-4618	61	7	0.3	CARDINAL
ejpam-4618	61	8	0.4	CARDINAL
ejpam-4618	61	9	0.6	CARDINAL
ejpam-4618	61	10	0.2	CARDINAL
ejpam-4618	61	11	0.3	CARDINAL
ejpam-4618	61	12	0.2	CARDINAL
ejpam-4618	61	13	1 (	CARDINAL
ejpam-4618	61	14	0.1	CARDINAL
ejpam-4618	61	15	0.2	CARDINAL
ejpam-4618	61	16	0.3	CARDINAL
ejpam-4618	61	17	2	CARDINAL
ejpam-4618	61	18	0.2	CARDINAL
ejpam-4618	61	19	0.3	CARDINAL
ejpam-4618	61	20	0.4	CARDINAL
ejpam-4618	61	21	3	CARDINAL
ejpam-4618	61	22	0.2	CARDINAL
ejpam-4618	61	23	0.3	CARDINAL
ejpam-4618	61	24	0.5	CARDINAL
ejpam-4618	61	25	4	CARDINAL
ejpam-4618	61	26	3-polar	QUANTITY
ejpam-4618	61	27	ku	NORP
ejpam-4618	61	28	3	CARDINAL
ejpam-4618	62	1	x.	GPE
ejpam-4618	62	2	u(ô	ORG
ejpam-4618	63	1	0	CARDINAL
ejpam-4618	63	2	1]m	DATE
ejpam-4618	65	1	0	CARDINAL
ejpam-4618	65	2	1]m	CARDINAL
ejpam-4618	65	3	u(ô	ORG
ejpam-4618	65	4	r̂	PERSON
ejpam-4618	66	1	6	CARDINAL
ejpam-4618	66	2	r̂	PERSON
ejpam-4618	67	1	u(ô	ORG
ejpam-4618	67	2	r̂	PERSON
ejpam-4618	67	3	u(ô	ORG
ejpam-4618	67	4	r̂	PERSON
ejpam-4618	69	1	r̂ =	PERSON
ejpam-4618	70	1	0	CARDINAL
ejpam-4618	70	2	1]m	CARDINAL
ejpam-4618	71	1	r̂	PERSON
ejpam-4618	71	2	u ∗ v /∈	PERSON
ejpam-4618	71	3	r̂	PERSON
ejpam-4618	72	1	∀u	ORG
ejpam-4618	72	2	ku	NORP
ejpam-4618	72	3	h. alshehri	PERSON
ejpam-4618	73	1	j. pure	PERSON
ejpam-4618	73	2	16	CARDINAL
ejpam-4618	73	3	1	CARDINAL
ejpam-4618	73	4	2023	CARDINAL
ejpam-4618	73	5	253-260 257	QUANTITY
ejpam-4618	73	6	2	CARDINAL
ejpam-4618	74	1	∀u ∈ x)(ô(0	ORG
ejpam-4618	74	2	2	CARDINAL
ejpam-4618	74	3	1	CARDINAL
ejpam-4618	74	4	2	DATE
ejpam-4618	74	5	m. proof	PERSON
ejpam-4618	76	1	6	CARDINAL
ejpam-4618	77	1	∗ u	PERCENT
ejpam-4618	77	2	min{ô(u	ORG
ejpam-4618	78	1	2	CARDINAL
ejpam-4618	79	1	∀u	ORG
ejpam-4618	79	2	∈	ORG
ejpam-4618	80	1	3	CARDINAL
ejpam-4618	81	1	1	CARDINAL
ejpam-4618	81	2	2	DATE
ejpam-4618	81	3	m. proof	PERSON
ejpam-4618	82	1	3	CARDINAL
ejpam-4618	83	1	lemma 2	ORG
ejpam-4618	84	1	7	DATE
ejpam-4618	85	1	ku	NORP
ejpam-4618	85	2	∀u ∈ x)(ô(0	ORG
ejpam-4618	85	3	∀u	ORG
ejpam-4618	85	4	w ∈	PERSON
ejpam-4618	85	5	∗ w	ORG
ejpam-4618	85	6	∗ w	ORG
ejpam-4618	85	7	4	CARDINAL
ejpam-4618	85	8	∀u ∈	ORG
ejpam-4618	85	9	∀u	ORG
ejpam-4618	85	10	w	GPE
ejpam-4618	85	11	x)((πi	GPE
ejpam-4618	85	12	min{(πi	DATE
ejpam-4618	85	13	∗	CARDINAL
ejpam-4618	85	14	∗ w	ORG
ejpam-4618	85	15	1	CARDINAL
ejpam-4618	85	16	2	DATE
ejpam-4618	85	17	m. proposition 3	PERSON
ejpam-4618	86	1	ku	NORP
ejpam-4618	87	1	∈	ORG
ejpam-4618	87	2	5	CARDINAL
ejpam-4618	87	3	h. alshehri	PERSON
ejpam-4618	88	1	j. pure	PERSON
ejpam-4618	88	2	16	CARDINAL
ejpam-4618	88	3	1	CARDINAL
ejpam-4618	88	4	2023	CARDINAL
ejpam-4618	88	5	253-260 258	QUANTITY
ejpam-4618	88	6	1	CARDINAL
ejpam-4618	88	7	2	DATE
ejpam-4618	89	1	∗	CARDINAL
ejpam-4618	90	1	∗	CARDINAL
ejpam-4618	90	2	ku	NORP
ejpam-4618	92	1	4	CARDINAL
ejpam-4618	92	2	ku	NORP
ejpam-4618	92	3	x.	GPE
ejpam-4618	92	4	u ∗ v ≤ w	LAW
ejpam-4618	92	5	6	CARDINAL
ejpam-4618	92	6	min{(πi	DATE
ejpam-4618	93	1	1	CARDINAL
ejpam-4618	93	2	2	DATE
ejpam-4618	94	1	x.	GPE
ejpam-4618	94	2	w ∗	CARDINAL
ejpam-4618	94	3	0	CARDINAL
ejpam-4618	95	1	4	CARDINAL
ejpam-4618	96	1	7	CARDINAL
ejpam-4618	97	1	7	CARDINAL
ejpam-4618	99	1	4	CARDINAL
ejpam-4618	100	1	ku	NORP
ejpam-4618	100	2	4	CARDINAL
ejpam-4618	100	3	ku	NORP
ejpam-4618	100	4	x.	GPE
ejpam-4618	101	1	ku	NORP
ejpam-4618	101	2	4	CARDINAL
ejpam-4618	101	3	lemma 2	ORG
ejpam-4618	102	1	1(3	CARDINAL
ejpam-4618	102	2	∗ w	ORG
ejpam-4618	102	3	w ∈	PERSON
ejpam-4618	103	1	4	CARDINAL
ejpam-4618	103	2	w ∈	PERSON
ejpam-4618	103	3	ku	NORP
ejpam-4618	103	4	x.	ORG
ejpam-4618	103	5	5	CARDINAL
ejpam-4618	104	1	ku	NORP
ejpam-4618	107	1	6	CARDINAL
ejpam-4618	108	1	ku	NORP
ejpam-4618	108	2	∗	CARDINAL
ejpam-4618	108	3	∈	ORG
ejpam-4618	108	4	1	CARDINAL
ejpam-4618	108	5	2	DATE
ejpam-4618	108	6	259	CARDINAL
ejpam-4618	109	1	ku	NORP
ejpam-4618	109	2	ku	NORP
ejpam-4618	109	3	w ∈	PERSON
ejpam-4618	109	4	x.	ORG
ejpam-4618	109	5	w	ORG
ejpam-4618	109	6	∗	CARDINAL
ejpam-4618	109	7	4	CARDINAL
ejpam-4618	109	8	∗	CARDINAL
ejpam-4618	109	9	∗	CARDINAL
ejpam-4618	110	1	∗	CARDINAL
ejpam-4618	111	1	5	CARDINAL
ejpam-4618	112	1	ku	NORP
ejpam-4618	114	1	∈	ORG
ejpam-4618	114	2	u ∗ (	ORG
ejpam-4618	114	3	∗ w	ORG
ejpam-4618	114	4	∈	ORG
ejpam-4618	114	5	∈	ORG
ejpam-4618	114	6	∗	CARDINAL
ejpam-4618	114	7	∗ w	ORG
ejpam-4618	116	1	ku	NORP
ejpam-4618	116	2	∗ w	ORG
ejpam-4618	117	1	ô(u∗w	ORG
ejpam-4618	119	1	ô(u∗w	ORG
ejpam-4618	119	2	∈	ORG
ejpam-4618	119	3	w ∈	PERSON
ejpam-4618	120	1	4	CARDINAL
ejpam-4618	121	1	more than one	CARDINAL
ejpam-4618	122	1	ku	PERSON
ejpam-4618	122	2	kualgebras	ORG
ejpam-4618	123	1	ku	NORP
ejpam-4618	123	2	ku	NORP
ejpam-4618	124	1	5	CARDINAL
ejpam-4618	125	1	1	CARDINAL
ejpam-4618	125	2	farooq	PERSON
ejpam-4618	125	3	algebras	ORG
ejpam-4618	126	1	quasigroups relat	PERSON
ejpam-4618	127	1	syst	ORG
ejpam-4618	128	1	141-150	CARDINAL
ejpam-4618	128	2	2016	DATE
ejpam-4618	129	1	2	CARDINAL
ejpam-4618	129	2	farooq	PERSON
ejpam-4618	130	1	j. pure	PERSON
ejpam-4618	131	1	36	CARDINAL
ejpam-4618	131	2	445	CARDINAL
ejpam-4618	131	3	2016	DATE
ejpam-4618	132	1	3	CARDINAL
ejpam-4618	132	2	sarwar.	GPE
ejpam-4618	135	1	nat	PERSON
ejpam-4618	136	1	comput	PERSON
ejpam-4618	136	2	249-276	CARDINAL
ejpam-4618	136	3	2018	DATE
ejpam-4618	137	1	260	CARDINAL
ejpam-4618	138	1	4	CARDINAL
ejpam-4618	138	2	ahmad	PERSON
ejpam-4618	138	3	king saud university science	ORG
ejpam-4618	138	4	31	DATE
ejpam-4618	138	5	1220	CARDINAL
ejpam-4618	139	1	2019	DATE
ejpam-4618	140	1	5	CARDINAL
ejpam-4618	140	2	chen	PERSON
ejpam-4618	140	3	li	PERSON
ejpam-4618	140	4	ma	PERSON
ejpam-4618	140	5	wang	PERSON
ejpam-4618	141	1	sci world j .	ORG
ejpam-4618	141	2	416	CARDINAL
ejpam-4618	142	1	6] gulistan	DATE
ejpam-4618	142	2	shahzad	GPE
ejpam-4618	142	3	ahmed	PERSON
ejpam-4618	142	4	2014).1-11	DATE
ejpam-4618	142	5	kualgebras	GPE
ejpam-4618	142	6	afr.	PERSON
ejpam-4618	142	7	1-11 2014	DATE
ejpam-4618	143	1	abd-elnaby	PERSON
ejpam-4618	143	2	yousef	PERSON
ejpam-4618	143	3	ku-algebras	GPE
ejpam-4618	144	1	6(63	CARDINAL
ejpam-4618	144	2	3139-3149	CARDINAL
ejpam-4618	144	3	2011	DATE
ejpam-4618	145	1	8	CARDINAL
ejpam-4618	145	2	leerawat.	ORG
ejpam-4618	145	3	ku-algebras	GPE
ejpam-4618	145	4	scientia magna	ORG
ejpam-4618	145	5	no.1	ORG
ejpam-4618	145	6	54	CARDINAL
ejpam-4618	145	7	2009	DATE
ejpam-4618	146	1	9	CARDINAL
ejpam-4618	146	2	leerawat .	ORG
ejpam-4618	146	3	ku-algebras	ORG
ejpam-4618	146	4	scientia magna	ORG
ejpam-4618	146	5	5	DATE
ejpam-4618	146	6	25-31	DATE
ejpam-4618	146	7	2009	DATE
ejpam-4618	147	1	10	CARDINAL
ejpam-4618	147	2	mostafa	PERSON
ejpam-4618	147	3	ansari	PERSON
ejpam-4618	147	4	cubic ku-ideals	PERSON
ejpam-4618	147	5	ku-algebras	GPE
ejpam-4618	147	6	article id935905	PERSON
ejpam-4618	147	7	10	CARDINAL
ejpam-4618	147	8	2013	DATE
ejpam-4618	148	1	11	CARDINAL
ejpam-4618	148	2	8	CARDINAL
ejpam-4618	148	3	338	CARDINAL