id	sid	eid	entity	type
ejpam-5258	1	1	european journal	ORG
ejpam-5258	2	1	17	CARDINAL
ejpam-5258	2	2	3	CARDINAL
ejpam-5258	2	3	2024	DATE
ejpam-5258	2	4	2329	CARDINAL
ejpam-5258	2	5	1307-5543	DATE
ejpam-5258	2	6	new york	GPE
ejpam-5258	2	7	abdulaziz mutlaq alotaibi1	PERSON
ejpam-5258	2	8	mustafa aljamal2,∗ 1	ORG
ejpam-5258	2	9	al-kharj	GPE
ejpam-5258	2	10	prince sattam bin abdulaziz university	PERSON
ejpam-5258	2	11	al-kharj 11942	ORG
ejpam-5258	3	1	saudi arabia	GPE
ejpam-5258	3	2	2	CARDINAL
ejpam-5258	3	3	malaysia terengganu	PERSON
ejpam-5258	3	4	21030	CARDINAL
ejpam-5258	3	5	kuala	GPE
ejpam-5258	3	6	terengganu	ORG
ejpam-5258	6	1	g1	ORG
ejpam-5258	8	1	gn	ORG
ejpam-5258	9	1	∗	CARDINAL
ejpam-5258	12	1	g1	ORG
ejpam-5258	15	1	h(f ∗ g	PERSON
ejpam-5258	16	1	2020	DATE
ejpam-5258	16	2	16u60	CARDINAL
ejpam-5258	16	3	20c05	DATE
ejpam-5258	16	4	16s34	DATE
ejpam-5258	16	5	20e06	CARDINAL
ejpam-5258	17	1	1.	CARDINAL
ejpam-5258	17	2	1	CARDINAL
ejpam-5258	18	1	1	CARDINAL
ejpam-5258	19	1	i.	PERSON
ejpam-5258	19	2	two	CARDINAL
ejpam-5258	19	3	∈	ORG
ejpam-5258	21	1	g′	PERSON
ejpam-5258	21	2	8	CARDINAL
ejpam-5258	23	1	⊆	CARDINAL
ejpam-5258	26	1	a. m. alotaibi	PERSON
ejpam-5258	26	2	khaled	PERSON
ejpam-5258	27	1	k. m. aljamal	PERSON
ejpam-5258	27	2	2329	CARDINAL
ejpam-5258	28	1	2024	CARDINAL
ejpam-5258	29	1	a. m. alotaibi	PERSON
ejpam-5258	29	2	k. m. aljamal	PERSON
ejpam-5258	30	1	j. pure	PERSON
ejpam-5258	30	2	17	CARDINAL
ejpam-5258	30	3	3	CARDINAL
ejpam-5258	30	4	2024	CARDINAL
ejpam-5258	30	5	2329-2335 2330	CARDINAL
ejpam-5258	30	6	2	CARDINAL
ejpam-5258	30	7	x.	ORG
ejpam-5258	32	1	∈	ORG
ejpam-5258	32	2	±1	PERSON
ejpam-5258	32	3	1	CARDINAL
ejpam-5258	32	4	2	DATE
ejpam-5258	33	1	⊆	CARDINAL
ejpam-5258	36	1	4	CARDINAL
ejpam-5258	36	2	φ	PERSON
ejpam-5258	36	3	∈	ORG
ejpam-5258	37	1	φ	ORG
ejpam-5258	37	2	f(s	EVENT
ejpam-5258	37	3	3	CARDINAL
ejpam-5258	37	4	⊆	CARDINAL
ejpam-5258	43	1	f(x	ORG
ejpam-5258	43	2	rfx = ker(φ	ORG
ejpam-5258	43	3	φ	ORG
ejpam-5258	44	1	2	CARDINAL
ejpam-5258	44	2	3	CARDINAL
ejpam-5258	44	3	6	CARDINAL
ejpam-5258	46	1	f⟨g	CARDINAL
ejpam-5258	47	1	yi+1⟩αi+1 ̸=	ORG
ejpam-5258	47	2	yi⟩−αi	GPE
ejpam-5258	47	3	±1	PERSON
ejpam-5258	47	4	1	CARDINAL
ejpam-5258	47	5	2	DATE
ejpam-5258	48	1	n. proposition	PERSON
ejpam-5258	48	2	1	CARDINAL
ejpam-5258	49	1	f⟨g	CARDINAL
ejpam-5258	51	1	f(⟨x, y⟩	ORG
ejpam-5258	52	1	f⟨g	CARDINAL
ejpam-5258	52	2	⟨x1, y1⟩φg(⟨x	DATE
ejpam-5258	54	1	= f(⟨x	GPE
ejpam-5258	59	1	f⟨g	CARDINAL
ejpam-5258	59	2	φ(⟨x, y⟩	ORG
ejpam-5258	62	1	a. m. alotaibi	PERSON
ejpam-5258	62	2	k. m. aljamal	PERSON
ejpam-5258	63	1	j. pure	PERSON
ejpam-5258	63	2	17	CARDINAL
ejpam-5258	63	3	3	CARDINAL
ejpam-5258	63	4	2024	CARDINAL
ejpam-5258	63	5	2329-2335 2331	CARDINAL
ejpam-5258	66	1	1	CARDINAL
ejpam-5258	67	1	f⟨g	CARDINAL
ejpam-5258	67	2	1	CARDINAL
ejpam-5258	68	1	= kerφg	PERSON
ejpam-5258	69	1	f⟨g	CARDINAL
ejpam-5258	69	2	2	CARDINAL
ejpam-5258	70	1	⊆ f⟨g	DATE
ejpam-5258	71	1	z⟩−1⟨x	GPE
ejpam-5258	71	2	xzx−1	GPE
ejpam-5258	72	1	1	CARDINAL
ejpam-5258	75	1	3	CARDINAL
ejpam-5258	76	1	1	CARDINAL
ejpam-5258	77	1	r(g)]f	NORP
ejpam-5258	77	2	r(g	NORP
ejpam-5258	77	3	f⟨g	DATE
ejpam-5258	77	4	c(g	GPE
ejpam-5258	79	1	first	ORDINAL
ejpam-5258	80	1	∈ r(g	PERSON
ejpam-5258	80	2	f⟨g	CARDINAL
ejpam-5258	80	3	1	CARDINAL
ejpam-5258	80	4	1	CARDINAL
ejpam-5258	81	1	∈	ORG
ejpam-5258	83	1	1	CARDINAL
ejpam-5258	83	2	2	CARDINAL
ejpam-5258	83	3	∈	PRODUCT
ejpam-5258	83	4	z⟩−1	ORG
ejpam-5258	83	5	f⟨g	DATE
ejpam-5258	83	6	zx⟨x	PRODUCT
ejpam-5258	84	1	z⟩)φg	GPE
ejpam-5258	84	2	z⟩−1	ORG
ejpam-5258	85	1	′′	ORG
ejpam-5258	85	2	3	CARDINAL
ejpam-5258	85	3	∈	PRODUCT
ejpam-5258	85	4	z⟩−1	PRODUCT
ejpam-5258	85	5	z⟩−1⟨x	GPE
ejpam-5258	85	6	f⟨g	DATE
ejpam-5258	85	7	z⟩−1⟨x	GPE
ejpam-5258	87	1	f⟨g	CARDINAL
ejpam-5258	88	1	r(g	ORG
ejpam-5258	88	2	f⟨g	DATE
ejpam-5258	90	1	3	CARDINAL
ejpam-5258	91	1	3	CARDINAL
ejpam-5258	93	1	r(g)]f	NORP
ejpam-5258	93	2	f⟨g	DATE
ejpam-5258	93	3	b(g	ORG
ejpam-5258	93	4	2	CARDINAL
ejpam-5258	95	1	a. m. alotaibi	PERSON
ejpam-5258	95	2	k. m. aljamal	PERSON
ejpam-5258	96	1	j. pure	PERSON
ejpam-5258	96	2	17	CARDINAL
ejpam-5258	96	3	3	CARDINAL
ejpam-5258	96	4	2024	CARDINAL
ejpam-5258	96	5	2329	CARDINAL
ejpam-5258	98	1	1	CARDINAL
ejpam-5258	98	2	1	CARDINAL
ejpam-5258	99	1	1}/{1	CARDINAL
ejpam-5258	99	2	1	CARDINAL
ejpam-5258	100	1	1	CARDINAL
ejpam-5258	102	1	2	CARDINAL
ejpam-5258	102	2	two	CARDINAL
ejpam-5258	102	3	two	CARDINAL
ejpam-5258	103	1	two	CARDINAL
ejpam-5258	103	2	h(k ∗ l	PERSON
ejpam-5258	105	1	3	CARDINAL
ejpam-5258	106	1	1	CARDINAL
ejpam-5258	107	1	2	CARDINAL
ejpam-5258	109	1	k and l	FAC
ejpam-5258	109	2	5	CARDINAL
ejpam-5258	109	3	k ∗ l	PERSON
ejpam-5258	109	4	k ∗ l	PERSON
ejpam-5258	109	5	s⟩.	PRODUCT
ejpam-5258	110	1	k =	PERSON
ejpam-5258	112	1	k ∗ l	PERSON
ejpam-5258	115	1	1	CARDINAL
ejpam-5258	115	2	h(k	PERSON
ejpam-5258	116	1	∪	ORG
ejpam-5258	116	2	s)∩[fx∪y	GPE
ejpam-5258	117	1	1	CARDINAL
ejpam-5258	124	1	rn⟩.	PERSON
ejpam-5258	126	1	5	CARDINAL
ejpam-5258	127	1	1	CARDINAL
ejpam-5258	127	2	2 h(p	PERSON
ejpam-5258	128	1	1	CARDINAL
ejpam-5258	131	1	3	CARDINAL
ejpam-5258	133	1	first	ORDINAL
ejpam-5258	134	1	8	CARDINAL
ejpam-5258	134	2	14	CARDINAL
ejpam-5258	134	3	m(g	PERSON
ejpam-5258	134	4	second	ORDINAL
ejpam-5258	134	5	c∗	PERSON
ejpam-5258	135	1	3	CARDINAL
ejpam-5258	139	1	1	CARDINAL
ejpam-5258	141	1	2	CARDINAL
ejpam-5258	142	1	3	CARDINAL
ejpam-5258	143	1	1	CARDINAL
ejpam-5258	143	2	1	CARDINAL
ejpam-5258	144	1	m(g	PERSON
ejpam-5258	147	1	a. m. alotaibi	PERSON
ejpam-5258	147	2	k. m. aljamal	PERSON
ejpam-5258	148	1	j. pure	PERSON
ejpam-5258	148	2	17	CARDINAL
ejpam-5258	148	3	3	CARDINAL
ejpam-5258	148	4	2024	CARDINAL
ejpam-5258	148	5	2329	CARDINAL
ejpam-5258	148	6	2	CARDINAL
ejpam-5258	153	1	1	CARDINAL
ejpam-5258	154	1	one	CARDINAL
ejpam-5258	154	2	one	CARDINAL
ejpam-5258	155	1	1	CARDINAL
ejpam-5258	156	1	1	CARDINAL
ejpam-5258	156	2	3	CARDINAL
ejpam-5258	156	3	1	CARDINAL
ejpam-5258	158	1	3	CARDINAL
ejpam-5258	162	1	h(f	PERSON
ejpam-5258	163	1	1	CARDINAL
ejpam-5258	163	2	h(f	PERSON
ejpam-5258	169	1	q−	DATE
ejpam-5258	173	1	1	CARDINAL
ejpam-5258	173	2	2	CARDINAL
ejpam-5258	173	3	h(f	PERSON
ejpam-5258	174	1	1)×	CARDINAL
ejpam-5258	174	2	1)×	CARDINAL
ejpam-5258	175	1	1)︸	CARDINAL
ejpam-5258	175	2	1)×	CARDINAL
ejpam-5258	175	3	1)×	CARDINAL
ejpam-5258	176	1	1)︸	CARDINAL
ejpam-5258	176	2	q−	DATE
ejpam-5258	176	3	1	CARDINAL
ejpam-5258	178	1	2	CARDINAL
ejpam-5258	180	1	0	DATE
ejpam-5258	180	2	1	CARDINAL
ejpam-5258	180	3	2	DATE
ejpam-5258	180	4	3	DATE
ejpam-5258	181	1	0	CARDINAL
ejpam-5258	181	2	1	CARDINAL
ejpam-5258	183	1	1	CARDINAL
ejpam-5258	183	2	integers modulo n.	PERSON
ejpam-5258	183	3	1	CARDINAL
ejpam-5258	183	4	1	CARDINAL
ejpam-5258	184	1	3	CARDINAL
ejpam-5258	185	1	1	CARDINAL
ejpam-5258	185	2	h(f	PERSON
ejpam-5258	185	3	1	CARDINAL
ejpam-5258	187	1	1	CARDINAL
ejpam-5258	187	2	linear	ORG
ejpam-5258	187	3	2	CARDINAL
ejpam-5258	188	1	∗	CARDINAL
ejpam-5258	188	2	2	CARDINAL
ejpam-5258	188	3	3	CARDINAL
ejpam-5258	188	4	3	CARDINAL
ejpam-5258	188	5	h(f	PERSON
ejpam-5258	188	6	1	CARDINAL
ejpam-5258	189	1	4	CARDINAL
ejpam-5258	189	2	8	CARDINAL
ejpam-5258	192	1	1	CARDINAL
ejpam-5258	194	1	a. m. alotaibi	PERSON
ejpam-5258	194	2	k. m. aljamal	PERSON
ejpam-5258	195	1	j. pure	PERSON
ejpam-5258	195	2	17	CARDINAL
ejpam-5258	195	3	3	CARDINAL
ejpam-5258	195	4	2024	CARDINAL
ejpam-5258	195	5	2329	CARDINAL
ejpam-5258	196	1	1	CARDINAL
ejpam-5258	196	2	two	CARDINAL
ejpam-5258	196	3	two	CARDINAL
ejpam-5258	196	4	1 or	CARDINAL
ejpam-5258	196	5	-1	ORG
ejpam-5258	197	1	1	CARDINAL
ejpam-5258	197	2	1 1	CARDINAL
ejpam-5258	197	3	1	CARDINAL
ejpam-5258	197	4	0	CARDINAL
ejpam-5258	198	1	2	CARDINAL
ejpam-5258	198	2	3.1	CARDINAL
ejpam-5258	198	3	1	CARDINAL
ejpam-5258	199	1	2	CARDINAL
ejpam-5258	199	2	2n	CARDINAL
ejpam-5258	199	3	two	CARDINAL
ejpam-5258	199	4	two	CARDINAL
ejpam-5258	199	5	integers zn mod n	PERSON
ejpam-5258	199	6	1	CARDINAL
ejpam-5258	199	7	-1	ORG
ejpam-5258	199	8	8	CARDINAL
ejpam-5258	199	9	〈 x	PERSON
ejpam-5258	199	10	xy)2	NORP
ejpam-5258	199	11	2	CARDINAL
ejpam-5258	199	12	3	CARDINAL
ejpam-5258	200	1	3	CARDINAL
ejpam-5258	200	2	2+1	DATE
ejpam-5258	200	3	3	CARDINAL
ejpam-5258	203	1	2	CARDINAL
ejpam-5258	204	1	linear	ORG
ejpam-5258	204	2	2	CARDINAL
ejpam-5258	204	3	5	CARDINAL
ejpam-5258	205	1	2	CARDINAL
ejpam-5258	205	2	3	CARDINAL
ejpam-5258	206	1	2	CARDINAL
ejpam-5258	206	2	〈 x	PERSON
ejpam-5258	206	3	x5, y3	GPE
ejpam-5258	206	4	xy)2	NORP
ejpam-5258	206	5	two	CARDINAL
ejpam-5258	206	6	three	CARDINAL
ejpam-5258	208	1	5	CARDINAL
ejpam-5258	209	1	4n	CARDINAL
ejpam-5258	212	1	4	CARDINAL
ejpam-5258	212	2	1	CARDINAL
ejpam-5258	213	1	2	CARDINAL
ejpam-5258	213	2	3	CARDINAL
ejpam-5258	213	3	3	CARDINAL
ejpam-5258	215	1	5	CARDINAL
ejpam-5258	217	1	g1	ORG
ejpam-5258	217	2	5	CARDINAL
ejpam-5258	218	1	g1	ORG
ejpam-5258	218	2	h(a	ORG
ejpam-5258	219	1	rel(h	NORP
ejpam-5258	219	2	∈	ORG
ejpam-5258	219	3	1	CARDINAL
ejpam-5258	220	1	∈	ORG
ejpam-5258	220	2	2335	CARDINAL
ejpam-5258	220	3	bin abdulaziz university	PERSON
ejpam-5258	221	1	1	CARDINAL
ejpam-5258	221	2	mustafa aljamal	PERSON
ejpam-5258	221	3	ahmad termimi ab ghani	PERSON
ejpam-5258	221	4	rasheed mahmood saleh	PERSON
ejpam-5258	223	1	2021	CARDINAL
ejpam-5258	223	2	2021	CARDINAL
ejpam-5258	224	1	2	CARDINAL
ejpam-5258	224	2	warren dicks	PERSON
ejpam-5258	224	3	martin john dunwoody	PERSON
ejpam-5258	226	1	cambridge university press	ORG
ejpam-5258	226	2	1989	DATE
ejpam-5258	227	1	3	CARDINAL
ejpam-5258	227	2	gregory karpilovsky	PERSON
ejpam-5258	229	1	oxford university press, inc.	ORG
ejpam-5258	229	2	1987	DATE
ejpam-5258	230	1	4	CARDINAL
ejpam-5258	230	2	roger c lyndon	PERSON
ejpam-5258	230	3	paul e schupp	PERSON
ejpam-5258	230	4	rc lyndon	PERSON
ejpam-5258	232	1	1977	DATE
ejpam-5258	233	1	5	CARDINAL
ejpam-5258	233	2	d. solitar	PERSON
ejpam-5258	235	1	dover	GPE
ejpam-5258	235	2	new york	GPE
ejpam-5258	235	3	1976	DATE
ejpam-5258	236	1	6	CARDINAL
ejpam-5258	236	2	clair miller	PERSON
ejpam-5258	237	1	second	ORDINAL
ejpam-5258	238	1	american	NORP
ejpam-5258	238	2	1952	DATE
ejpam-5258	239	1	7	CARDINAL
ejpam-5258	239	2	khaled mustafa al-jamal	PERSON
ejpam-5258	239	3	ahmad termimi ab ghani	PERSON
ejpam-5258	241	1	2019	DATE
ejpam-5258	242	1	8	CARDINAL
ejpam-5258	242	2	j. j. rotman	PERSON
ejpam-5258	244	1	allyn	PERSON
ejpam-5258	244	2	1973	DATE