id	sid	eid	entity	type
cana-727	1	1	1074	CARDINAL
cana-727	2	1	3s	CARDINAL
cana-727	2	2	2024	CARDINAL
cana-727	2	3	9	CARDINAL
cana-727	2	4	goldie	PERSON
cana-727	2	5	abdallah shihadeh department	PERSON
cana-727	2	6	the hashemite university	ORG
cana-727	2	7	13133	DATE
cana-727	2	8	330127	DATE
cana-727	2	9	jordan abdallaha_ka@hu.edu.jo	PERSON
cana-727	2	10	12-04-2024	CARDINAL
cana-727	2	11	18-05-2024	CARDINAL
cana-727	2	12	01-06-2024	CARDINAL
cana-727	4	1	𝐺𝑝extending	PERSON
cana-727	5	1	𝐺𝑝extending	PERSON
cana-727	6	1	𝐺𝑝extending	PERSON
cana-727	8	1	1	CARDINAL
cana-727	9	1	𝐴 ∩ 𝐵	ORG
cana-727	9	2	𝐴 ∩ 𝐵	ORG
cana-727	11	1	1,2	CARDINAL
cana-727	13	1	1	CARDINAL
cana-727	15	1	3,4	CARDINAL
cana-727	21	1	section 2	LAW
cana-727	22	1	𝐺𝑝extending	PERSON
cana-727	23	1	1074	CARDINAL
cana-727	24	1	3s	CARDINAL
cana-727	24	2	2024	CARDINAL
cana-727	24	3	10	CARDINAL
cana-727	25	1	𝐺𝑝extending	PERSON
cana-727	26	1	𝐺𝑝extending	PERSON
cana-727	27	1	section 4	DATE
cana-727	28	1	section 4	LAW
cana-727	29	1	5	CARDINAL
cana-727	29	2	m. 2	PERSON
cana-727	30	1	two	CARDINAL
cana-727	31	1	first	ORDINAL
cana-727	31	2	1	CARDINAL
cana-727	32	1	𝐴𝛽𝐵	CARDINAL
cana-727	32	2	𝐴 ∩ 𝐵	ORG
cana-727	33	1	𝐴 ∩ 𝐵	ORG
cana-727	36	1	2.1	CARDINAL
cana-727	38	1	d.	NORP
cana-727	39	1	2.1	CARDINAL
cana-727	39	2	tercan	ORG
cana-727	39	3	1	CARDINAL
cana-727	40	1	6	CARDINAL
cana-727	41	1	2.2	CARDINAL
cana-727	44	1	2.3	CARDINAL
cana-727	49	1	1074	CARDINAL
cana-727	50	1	3s	CARDINAL
cana-727	50	2	2024	CARDINAL
cana-727	50	3	11	CARDINAL
cana-727	54	1	𝑀ℤ	GPE
cana-727	54	2	1	CARDINAL
cana-727	54	3	3.3	CARDINAL
cana-727	55	1	𝑀ℤ	GPE
cana-727	55	2	8	CARDINAL
cana-727	55	3	10	CARDINAL
cana-727	56	1	9	CARDINAL
cana-727	56	2	13.8	CARDINAL
cana-727	57	1	a von neumann	PERSON
cana-727	58	1	10	CARDINAL
cana-727	58	2	2.7	CARDINAL
cana-727	58	3	von neumann	PERSON
cana-727	58	4	1	CARDINAL
cana-727	58	5	1.8	CARDINAL
cana-727	61	1	𝑀ℤ	GPE
cana-727	61	2	1	CARDINAL
cana-727	61	3	3.3	CARDINAL
cana-727	63	1	2.4	CARDINAL
cana-727	70	1	𝐴 ∩	ORG
cana-727	70	2	𝐴 ∩ 𝐷)𝛼𝐷.	ORG
cana-727	72	1	𝐴 ≤ 𝐷.	ORG
cana-727	72	2	𝐴+𝐷	NORP
cana-727	72	3	𝐴+𝐷 𝐷	FAC
cana-727	72	4	𝐴 ≤ 𝐷.	ORG
cana-727	75	1	2.5	CARDINAL
cana-727	79	1	1074	CARDINAL
cana-727	80	1	3s	CARDINAL
cana-727	80	2	2024	CARDINAL
cana-727	80	3	12	CARDINAL
cana-727	81	1	2.6	CARDINAL
cana-727	85	1	3	CARDINAL
cana-727	87	1	3.1	CARDINAL
cana-727	87	2	𝐴 ∩ 𝐷	ORG
cana-727	87	3	𝐴 ∩	ORG
cana-727	87	4	0	CARDINAL
cana-727	88	1	𝐴 ∩	ORG
cana-727	88	2	0	CARDINAL
cana-727	89	1	𝐴 ∩ 𝐷	ORG
cana-727	93	1	3.2	CARDINAL
cana-727	94	1	𝐴 ∩ 𝐷	ORG
cana-727	94	2	𝐴 ∩ 𝐷	ORG
cana-727	95	1	11	CARDINAL
cana-727	95	2	3.97	CARDINAL
cana-727	95	3	𝐺𝑝extending	PERSON
cana-727	96	1	1074	CARDINAL
cana-727	97	1	3s	CARDINAL
cana-727	97	2	2024	CARDINAL
cana-727	97	3	13	CARDINAL
cana-727	97	4	3.3	CARDINAL
cana-727	97	5	𝐴 ∩ 𝑀	ORG
cana-727	97	6	𝐴 ∩ 𝑀)𝛽𝐷.	ORG
cana-727	97	7	e(m	GPE
cana-727	98	1	∩ 𝑀	PERSON
cana-727	98	2	∩ 𝑀	PERSON
cana-727	98	3	3.4	CARDINAL
cana-727	101	1	m. m = dd'	PERSON
cana-727	103	1	i)(ii)"let	NORP
cana-727	103	2	12	CARDINAL
cana-727	103	3	1.4	CARDINAL
cana-727	111	1	kβm	PERSON
cana-727	111	2	lk)βd	NORP
cana-727	113	1	3.5	CARDINAL
cana-727	115	1	4	CARDINAL
cana-727	116	1	𝑀1	CARDINAL
cana-727	116	2	𝑀2	LOC
cana-727	117	1	1	CARDINAL
cana-727	117	2	2.4	CARDINAL
cana-727	119	1	1074	CARDINAL
cana-727	120	1	3s	CARDINAL
cana-727	120	2	2024	CARDINAL
cana-727	120	3	14	CARDINAL
cana-727	120	4	4.1	CARDINAL
cana-727	120	5	m1 and m2	PRODUCT
cana-727	122	1	m1 and m2	PRODUCT
cana-727	123	1	m1 and m2	PERSON
cana-727	123	2	𝑀1	DATE
cana-727	123	3	𝐷2	CARDINAL
cana-727	123	4	12	CARDINAL
cana-727	123	5	1.4	CARDINAL
cana-727	124	1	𝐺𝑝extending	PERSON
cana-727	126	1	4.2	CARDINAL
cana-727	127	1	4.3	CARDINAL
cana-727	127	2	annm1+annm2	PERSON
cana-727	128	1	4.4	CARDINAL
cana-727	132	1	𝐺𝑝extending	PERSON
cana-727	133	1	4.5	CARDINAL
cana-727	134	1	a∩m2≠0	PERSON
cana-727	134	2	a∩m2≠0	PERSON
cana-727	134	3	0	CARDINAL
cana-727	135	1	2	CARDINAL
cana-727	136	1	m'≅	DATE
cana-727	137	1	𝐺𝑝extending	PERSON
cana-727	139	1	4.6:"let	CARDINAL
cana-727	143	1	1074	CARDINAL
cana-727	144	1	3s	CARDINAL
cana-727	144	2	2024	CARDINAL
cana-727	144	3	15	CARDINAL
cana-727	145	1	∈	ORG
cana-727	145	2	𝐴 ∩	ORG
cana-727	146	1	∈	ORG
cana-727	146	2	𝑒𝑀𝛽𝑓𝑀	NORP
cana-727	146	3	⊆	CARDINAL
cana-727	147	1	3.2	CARDINAL
cana-727	149	1	∈	ORG
cana-727	153	1	4.8:"let	CARDINAL
cana-727	156	1	− 𝑒)𝐾	ORG
cana-727	156	2	1	CARDINAL
cana-727	158	1	1 − 𝑒)𝑀.	QUANTITY
cana-727	158	2	4.7	CARDINAL
cana-727	158	3	4.9	CARDINAL
cana-727	161	1	𝐶3	ORG
cana-727	164	1	𝐶3	CARDINAL
cana-727	165	1	11	CARDINAL
cana-727	165	2	2.71	CARDINAL
cana-727	166	1	∈ 𝐾 ∩ 𝜋(𝐿	ORG
cana-727	167	1	𝐾 ∩ 𝜋(𝐿	ORG
cana-727	171	1	𝐾 ∩ 𝜋(𝐿	ORG
cana-727	176	1	∈	ORG
cana-727	176	2	1	CARDINAL
cana-727	177	1	4.10	CARDINAL
cana-727	177	2	𝑀1	CARDINAL
cana-727	177	3	𝑀2	LOC
cana-727	177	4	zero	CARDINAL
cana-727	178	1	𝑀1	DATE
cana-727	178	2	𝑀2	LOC
cana-727	179	1	1074	CARDINAL
cana-727	180	1	3s	CARDINAL
cana-727	180	2	2024	CARDINAL
cana-727	180	3	16	CARDINAL
cana-727	181	1	𝑀1	CARDINAL
cana-727	182	1	𝑀2	LOC
cana-727	185	1	submodules k	PERSON
cana-727	187	1	k	PERSON
cana-727	187	2	0	CARDINAL
cana-727	189	1	0	CARDINAL
cana-727	190	1	𝑀1	CARDINAL
cana-727	190	2	⊆	CARDINAL
cana-727	192	1	𝜋	PERSON
cana-727	192	2	𝑀2	LOC
cana-727	193	1	𝑀2	PRODUCT
cana-727	193	2	𝑀1	DATE
cana-727	194	1	𝑥(𝑥 − 𝜑(𝑥	PERSON
cana-727	195	1	𝜃(𝑥	PERSON
cana-727	196	1	𝑀1	CARDINAL
cana-727	196	2	𝑀2injective	ORG
cana-727	197	1	4.11	CARDINAL
cana-727	197	2	⨁𝑖=1	PRODUCT
cana-727	197	3	𝑀𝑖	GPE
cana-727	198	1	𝐸(𝑀𝑖	GPE
cana-727	198	2	≇	ORG
cana-727	199	1	𝑀1	CARDINAL
cana-727	199	2	𝑀2 ≤ 𝐸(𝑆	FAC
cana-727	200	1	𝑀2	PRODUCT
cana-727	200	2	ℎ(𝑆	ORG
cana-727	201	1	1	CARDINAL
cana-727	201	2	4.11	CARDINAL
cana-727	201	3	goldie	PERSON
cana-727	202	1	2.3	CARDINAL
cana-727	202	2	𝐺𝑝extending	PERSON
cana-727	203	1	1	CARDINAL
cana-727	203	2	4.14	CARDINAL
cana-727	204	1	2.3	CARDINAL
cana-727	205	1	4.12	CARDINAL
cana-727	205	2	𝕫/𝕫𝑝)⨁ℚ	NORP
cana-727	205	3	the polynomial ring 𝕫[𝑥	ORG
cana-727	206	1	𝑀𝕫	ORG
cana-727	206	2	4.11(i	DATE
cana-727	207	1	𝐺𝑝-extendingt	ORG
cana-727	208	1	≇	ORG
cana-727	208	2	4.11(i	DATE
cana-727	209	1	=k[x	PERSON
cana-727	209	2	see[1	ORG
cana-727	209	3	4.15	CARDINAL
cana-727	209	4	0	CARDINAL
cana-727	211	1	𝑀2	PRODUCT
cana-727	213	1	≠ 0	PERSON
cana-727	214	1	4.11(ii	CARDINAL
cana-727	215	1	4.13	CARDINAL
cana-727	219	1	13	CARDINAL
cana-727	219	2	3.4	CARDINAL
cana-727	220	1	4.14:"let	CARDINAL
cana-727	220	2	𝑆𝑅	ORG
cana-727	221	1	𝑆𝑅	ORG
cana-727	222	1	𝑌𝑅	ORG
cana-727	223	1	3.2	CARDINAL
cana-727	223	2	𝐾𝑅	ORG
cana-727	223	3	𝑋𝑅	ORG
cana-727	223	4	𝐾𝑅	ORG
cana-727	223	5	1074	CARDINAL
cana-727	224	1	3s	CARDINAL
cana-727	224	2	2024	CARDINAL
cana-727	224	3	17	CARDINAL
cana-727	224	4	𝑌𝑅	ORG
cana-727	225	1	𝐾𝑅	ORG
cana-727	225	2	0 ≠ 𝑒𝑠	PERSON
cana-727	227	1	∈	PRODUCT
cana-727	227	2	𝐾𝑅	ORG
cana-727	228	1	3.2	CARDINAL
cana-727	228	2	𝑆𝑅	ORG
cana-727	229	1	𝐾𝑆𝑆	ORG
cana-727	229	2	𝐾𝑆𝑆	ORG
cana-727	230	1	4.15	CARDINAL
cana-727	231	1	𝑇𝑇	LAW
cana-727	231	2	𝑀𝑀	ORG
cana-727	231	3	𝐺𝑝extending	PERSON
cana-727	232	1	4.14	CARDINAL
cana-727	232	2	reality𝑀𝑇	ORG
cana-727	232	3	goldie	ORG
cana-727	235	1	1	CARDINAL
cana-727	235	2	e. akalan	PERSON
cana-727	235	3	g. f. birkenmeier	PERSON
cana-727	235	4	a. tercan	PERSON
cana-727	235	5	goldie	PERSON
cana-727	236	1	2009),:663-683	CARDINAL
cana-727	237	1	2	CARDINAL
cana-727	237	2	n. v. dung	PERSON
cana-727	237	3	d. v. huynh	PERSON
cana-727	237	4	p. f. smith	PERSON
cana-727	237	5	r.	NORP
cana-727	238	1	longman	ORG
cana-727	238	2	1994	DATE
cana-727	239	1	3	CARDINAL
cana-727	239	2	m. a. kamal	PERSON
cana-727	239	3	o. a. elmnophy	PERSON
cana-727	240	1	univ.	ORG
cana-727	240	2	comenianae	PERSON
cana-727	240	3	2005	DATE
cana-727	240	4	279	CARDINAL
cana-727	241	1	4	CARDINAL
cana-727	241	2	c. canan yucel	PERSON
cana-727	241	3	a. tercan	PERSON
cana-727	241	4	ec	ORG
cana-727	241	5	taiwanese	NORP
cana-727	242	1	2009	DATE
cana-727	242	2	1247	CARDINAL
cana-727	243	1	5	CARDINAL
cana-727	243	2	p. f. smith	PERSON
cana-727	243	3	1992	DATE
cana-727	243	4	302	CARDINAL
cana-727	243	5	sci.	ORG
cana-727	243	6	nj	ORG
cana-727	243	7	1993	DATE
cana-727	244	1	6	CARDINAL
cana-727	244	2	a. tercan	PERSON
cana-727	244	3	r. yasar	PERSON
cana-727	244	4	c. c. yucel	PERSON
cana-727	244	5	goldie	PERSON
cana-727	245	1	bull	PERSON
cana-727	246	1	korean	NORP
cana-727	248	1	2022	CARDINAL
cana-727	248	2	453	CARDINAL
cana-727	249	1	7	CARDINAL
cana-727	249	2	a. tercan	PERSON
cana-727	249	3	r. yasar	PERSON
cana-727	249	4	c. c. yucel	PERSON
cana-727	249	5	goldie	PERSON
cana-727	252	1	2022	CARDINAL
cana-727	252	2	1363-1371	CARDINAL
cana-727	253	1	8	CARDINAL
cana-727	253	2	f. smith	PERSON
cana-727	253	3	a. tercan	PERSON
cana-727	253	4	houston j. math	PERSON
cana-727	254	1	18 (1992	DATE
cana-727	254	2	339	CARDINAL
cana-727	255	1	9	CARDINAL
cana-727	255	2	k. r. goodearl	PERSON
cana-727	255	3	von neumann	PERSON
cana-727	255	4	pitman	GPE
cana-727	255	5	london	GPE
cana-727	255	6	1976	DATE
cana-727	256	1	10	CARDINAL
cana-727	256	2	g. f. birkenmeier	PERSON
cana-727	256	3	a. tercan	PERSON
cana-727	257	1	35	CARDINAL
cana-727	257	2	2007	DATE
cana-727	257	3	597-611	CARDINAL
cana-727	258	1	11	CARDINAL
cana-727	258	2	yucel	ORG
cana-727	258	3	2016	DATE
cana-727	259	1	12	CARDINAL
cana-727	259	2	e. m. aljumaily	PERSON
cana-727	259	3	b. h. albahraany	PERSON
cana-727	259	4	iraqi	NORP
cana-727	259	5	science	ORG
cana-727	259	6	2015	DATE
cana-727	259	7	56	CARDINAL
cana-727	259	8	492-498	CARDINAL
cana-727	260	1	13	CARDINAL
cana-727	260	2	a. tercan	PERSON
cana-727	261	1	23(1995	DATE
cana-727	261	2	2	CARDINAL
cana-727	261	3	405	CARDINAL