id	sid	eid	entity	type
iajs-966	1	1	ibn alhaitham j.	PERSON
iajs-966	3	1	sc i. vo l.23	ORG
iajs-966	3	2	2) 2010	DATE
iajs-966	3	3	b. n.shihab department	ORG
iajs-966	3	4	al-haitham	ORG
iajs-966	3	5	univers ity	PERSON
iajs-966	3	6	baghdad	GPE
iajs-966	13	1	two	CARDINAL
iajs-966	19	1	1basic	CARDINAL
iajs-966	21	1	first	ORDINAL
iajs-966	22	1	1.1	CARDINAL
iajs-966	24	1	1.2	CARDINAL
iajs-966	24	2	1	CARDINAL
iajs-966	24	3	n=2z0	CARDINAL
iajs-966	24	4	m. then n	ORG
iajs-966	25	1	2	CARDINAL
iajs-966	27	1	ihjpas ibn alhaitham	PERSON
iajs-966	30	1	sc i. vo l.23	ORG
iajs-966	30	2	2) 2010 3	DATE
iajs-966	31	1	z	ORG
iajs-966	33	1	4	CARDINAL
iajs-966	34	1	5	CARDINAL
iajs-966	34	2	2	CARDINAL
iajs-966	36	1	6	CARDINAL
iajs-966	37	1	z	ORG
iajs-966	39	1	1.3	CARDINAL
iajs-966	41	1	k=0zp	ORG
iajs-966	42	1	1.4	CARDINAL
iajs-966	42	2	2	CARDINAL
iajs-966	42	3	two	CARDINAL
iajs-966	42	4	1m 2	DATE
iajs-966	43	1	m. proof	PERSON
iajs-966	43	2	1	CARDINAL
iajs-966	43	3	2	CARDINAL
iajs-966	44	1	1	CARDINAL
iajs-966	44	2	annrn1	PERSON
iajs-966	44	3	ym 2	PERSON
iajs-966	44	4	annrn2	PERSON
iajs-966	45	1	1m 2	DATE
iajs-966	46	1	annr(x	TIME
iajs-966	46	2	annrn2	PERSON
iajs-966	47	1	1.4	CARDINAL
iajs-966	48	1	1.5	CARDINAL
iajs-966	49	1	3	CARDINAL
iajs-966	50	1	 	PRODUCT
iajs-966	51	1	m. then n	ORG
iajs-966	51	2	3 2	CARDINAL
iajs-966	52	1	 	PRODUCT
iajs-966	53	1	2	CARDINAL
iajs-966	54	1	2z6z=6z	CARDINAL
iajs-966	54	2	2,2)m	CARDINAL
iajs-966	54	3	2,2)n	CARDINAL
iajs-966	54	4	2,2	CARDINAL
iajs-966	54	5	2	CARDINAL
iajs-966	54	6	2)	CARDINAL
iajs-966	54	7	3z6z=6z	CARDINAL
iajs-966	55	1	n1=	NORP
iajs-966	55	2	3	CARDINAL
iajs-966	56	1	2	CARDINAL
iajs-966	56	2	3z	CARDINAL
iajs-966	56	3	4	CARDINAL
iajs-966	56	4	3z	CARDINAL
iajs-966	56	5	6z	CARDINAL
iajs-966	58	1	3	CARDINAL
iajs-966	58	2	2z	CARDINAL
iajs-966	62	1	1.6	CARDINAL
iajs-966	62	2	1	CARDINAL
iajs-966	62	3	2	DATE
iajs-966	62	4	1m 2	DATE
iajs-966	62	5	1	CARDINAL
iajs-966	62	6	2	DATE
iajs-966	62	7	m.	PERSON
iajs-966	62	8	1.4	CARDINAL
iajs-966	62	9	1.7	CARDINAL
iajs-966	62	10	two	CARDINAL
iajs-966	62	11	mm	PRODUCT
iajs-966	63	1	haven1	LOC
iajs-966	63	2	annrn1	PERSON
iajs-966	63	3	ym	PERSON
iajs-966	63	4	annrn2	PERSON
iajs-966	63	5	y)n1n2.	GPE
iajs-966	66	1	r(x	GPE
iajs-966	67	1	annrn1	PERSON
iajs-966	67	2	ihjpas ibn alhaitham j.	PERSON
iajs-966	69	1	sc i. vo l.23	ORG
iajs-966	69	2	2) 2010	DATE
iajs-966	70	1	annrn2	PERSON
iajs-966	71	1	annr(n1n2)= annrn1annrn2	PERSON
iajs-966	73	1	r(a	PERSON
iajs-966	74	1	annrn1	PERSON
iajs-966	74	2	annr(y)=annrn2	PERSON
iajs-966	76	1	r(x	PERSON
iajs-966	77	1	rannr(x	PERSON
iajs-966	79	1	1.4	CARDINAL
iajs-966	80	1	1.8	CARDINAL
iajs-966	80	2	m. then n 2=nn	ORG
iajs-966	81	1	annr(x	TIME
iajs-966	82	1	x)m 2	PERSON
iajs-966	82	2	annr(x	DATE
iajs-966	82	3	x)=annr(x)annr(x)=annrn=annr(nn	PERSON
iajs-966	83	1	x)=annr(nn	ORG
iajs-966	84	1	1.9	CARDINAL
iajs-966	84	2	1m 2	CARDINAL
iajs-966	84	3	two	CARDINAL
iajs-966	84	4	1	CARDINAL
iajs-966	84	5	2	CARDINAL
iajs-966	85	1	1	CARDINAL
iajs-966	85	2	2	CARDINAL
iajs-966	85	3	y≠0	GPE
iajs-966	85	4	l1m 2	DATE
iajs-966	85	5	m. proof	PERSON
iajs-966	85	6	1	CARDINAL
iajs-966	86	1	1	CARDINAL
iajs-966	86	2	annrl1	ORG
iajs-966	86	3	ym 2	PERSON
iajs-966	87	1	1m 2	DATE
iajs-966	87	2	2)=annr(x	CARDINAL
iajs-966	89	1	2)=	CARDINAL
iajs-966	89	2	2	CARDINAL
iajs-966	89	3	2	CARDINAL
iajs-966	89	4	2	CARDINAL
iajs-966	91	1	rx=0	NORP
iajs-966	91	2	r(x	PERSON
iajs-966	93	1	r(x	GPE
iajs-966	94	1	rannr(x)=annrl1	DATE
iajs-966	94	2	2	CARDINAL
iajs-966	94	3	2	CARDINAL
iajs-966	94	4	1	CARDINAL
iajs-966	95	1	2)= annr(x	TIME
iajs-966	97	1	1.10	CARDINAL
iajs-966	99	1	zp	ORG
iajs-966	99	2	zp	ORG
iajs-966	101	1	1.11	CARDINAL
iajs-966	101	2	two	CARDINAL
iajs-966	102	1	1	CARDINAL
iajs-966	102	2	1	CARDINAL
iajs-966	102	3	m. 2.	PERSON
iajs-966	104	1	1	CARDINAL
iajs-966	104	2	annr(y)=annrn	ORG
iajs-966	106	1	1	CARDINAL
iajs-966	107	1	1	CARDINAL
iajs-966	108	1	rx=0	GPE
iajs-966	113	1	ihjpas ibn alhaitham	PERSON
iajs-966	116	1	sc i. vo l.23	ORG
iajs-966	116	2	2) 2010	DATE
iajs-966	116	3	1	CARDINAL
iajs-966	117	1	1	CARDINAL
iajs-966	117	2	1	CARDINAL
iajs-966	119	1	rannrn'=annr(y)=annr((x	PERSON
iajs-966	123	1	2.	CARDINAL
iajs-966	123	2	xm	ORG
iajs-966	129	1	n=0	PERSON
iajs-966	130	1	xn	ORG
iajs-966	141	1	annr((n))= annr((x	ORG
iajs-966	143	1	1.11	CARDINAL
iajs-966	144	1	1.12	CARDINAL
iajs-966	144	2	1	CARDINAL
iajs-966	144	3	y)zz4	PERSON
iajs-966	145	1	2	CARDINAL
iajs-966	146	1	zz4	ORG
iajs-966	147	1	z4	GPE
iajs-966	147	2	1.2	CARDINAL
iajs-966	147	3	5	CARDINAL
iajs-966	148	1	2	CARDINAL
iajs-966	148	2	2	CARDINAL
iajs-966	149	1	z4	GPE
iajs-966	150	1	1	CARDINAL
iajs-966	150	2	z4	GPE
iajs-966	150	3	1	CARDINAL
iajs-966	150	4	z4	GPE
iajs-966	150	5	1.2	CARDINAL
iajs-966	150	6	5	CARDINAL
iajs-966	153	1	annr(x	TIME
iajs-966	154	1	1	CARDINAL
iajs-966	156	1	2.1	CARDINAL
iajs-966	157	1	2	CARDINAL
iajs-966	159	1	2	CARDINAL
iajs-966	160	1	1	CARDINAL
iajs-966	162	1	2.2	CARDINAL
iajs-966	162	2	m. then n	ORG
iajs-966	163	1	ym	PERSON
iajs-966	176	1	m. ihjpas ibn alhaitham	PERSON
iajs-966	179	1	sc i. vo l.23	ORG
iajs-966	179	2	2) 2010	DATE
iajs-966	179	3	1	CARDINAL
iajs-966	181	1	2.3	CARDINAL
iajs-966	181	2	r.	NORP
iajs-966	181	3	m. then n	ORG
iajs-966	182	1	2,corollary	CARDINAL
iajs-966	182	2	2.2	CARDINAL
iajs-966	184	1	3	CARDINAL
iajs-966	185	1	4	CARDINAL
iajs-966	187	1	2.4	CARDINAL
iajs-966	187	2	1	CARDINAL
iajs-966	189	1	2	CARDINAL
iajs-966	191	1	3	CARDINAL
iajs-966	191	2	r.	NORP
iajs-966	191	3	m. proof:	PERSON
iajs-966	191	4	1.1.9	CARDINAL
iajs-966	191	5	2.7	CARDINAL
iajs-966	193	1	annr(x	TIME
iajs-966	196	1	annr(x	TIME
iajs-966	197	1	first	ORDINAL
iajs-966	198	1	xn	PERSON
iajs-966	198	2	m]=r	DATE
iajs-966	199	1	m]=r	DATE
iajs-966	204	1	1.1.9	CARDINAL
iajs-966	205	1	2	CARDINAL
iajs-966	207	1	annr(x	TIME
iajs-966	207	2	2.4	CARDINAL
iajs-966	208	1	2.5	CARDINAL
iajs-966	209	1	1	CARDINAL
iajs-966	210	1	3.7),(c	CARDINAL
iajs-966	211	1	n1=	NORP
iajs-966	211	2	2	CARDINAL
iajs-966	211	3	3	CARDINAL
iajs-966	213	1	2	CARDINAL
iajs-966	214	1	3	CARDINAL
iajs-966	215	1	4	CARDINAL
iajs-966	216	1	2.4	CARDINAL
iajs-966	217	1	2.6	CARDINAL
iajs-966	217	2	1	CARDINAL
iajs-966	217	3	ihjpas ibn alhaitham	PERSON
iajs-966	220	1	sc i. vo l.23	ORG
iajs-966	220	2	2	CARDINAL
iajs-966	220	3	2	CARDINAL
iajs-966	220	4	r. 3	ORG
iajs-966	222	1	m. proof	PERSON
iajs-966	222	2	4,theorem	CARDINAL
iajs-966	222	3	2.9	CARDINAL
iajs-966	222	4	2.4	CARDINAL
iajs-966	223	1	every nonzero submodule n	GPE
iajs-966	223	2	5	CARDINAL
iajs-966	223	3	6	CARDINAL
iajs-966	224	1	2.7	CARDINAL
iajs-966	224	2	two	CARDINAL
iajs-966	224	3	k	PERSON
iajs-966	224	4	m. then n	ORG
iajs-966	224	5	m. proof:	PERSON
iajs-966	224	6	annrk	ORG
iajs-966	224	7	annr(x	TIME
iajs-966	225	1	xk	GPE
iajs-966	225	2	nk	GPE
iajs-966	228	1	annr(x)	PERSON
iajs-966	233	1	m.	PERSON
iajs-966	233	2	2.7	CARDINAL
iajs-966	234	1	2.8	CARDINAL
iajs-966	234	2	two	CARDINAL
iajs-966	234	3	m. proof	PERSON
iajs-966	235	1	2.7	CARDINAL
iajs-966	235	2	m.	PERSON
iajs-966	235	3	2.8	CARDINAL
iajs-966	236	1	2.9	CARDINAL
iajs-966	236	2	1{n	CARDINAL
iajs-966	238	1	f m. proof:	PERSON
iajs-966	238	2	2.8	CARDINAL
iajs-966	239	1	m. 2.10	ORG
iajs-966	241	1	rime	PERSON
iajs-966	241	2	z.	PERSON
iajs-966	241	3	1	CARDINAL
iajs-966	241	4	2002	DATE
iajs-966	241	5	university of baghdad	ORG
iajs-966	242	1	2	CARDINAL
iajs-966	242	2	abdul-razak	PERSON
iajs-966	242	3	h.m .	GPE
iajs-966	242	4	1999	DATE
iajs-966	242	5	m.d.	PERSON
iajs-966	242	6	university of baghdad	ORG
iajs-966	243	1	3	CARDINAL
iajs-966	243	2	ansari-toroghy	PERSON
iajs-966	243	3	2008	DATE
iajs-966	243	4	mathematicum	PERSON
iajs-966	243	5	brno	ORG
iajs-966	243	6	tomus 44	GPE
iajs-966	243	7	9	CARDINAL
iajs-966	244	1	4	CARDINAL
iajs-966	244	2	abass	ORG
iajs-966	244	3	m.s.	GPE
iajs-966	244	4	1990	DATE
iajs-966	244	5	ph.d	ORG
iajs-966	245	1	thesis university	ORG
iajs-966	245	2	baghdad	GPE
iajs-966	246	1	5	CARDINAL
iajs-966	246	2	desale	PERSON
iajs-966	246	3	g.,and nicholson	PERSON
iajs-966	246	4	k.w.	GPE
iajs-966	246	5	1981	DATE
iajs-966	246	6	j. algebra,.70	PERSON
iajs-966	246	7	548-560	CARDINAL
iajs-966	246	8	6	CARDINAL
iajs-966	246	9	atani	ORG
iajs-966	246	10	s.	PERSON
iajs-966	246	11	2008	DATE
iajs-966	246	12	thai	NORP
iajs-966	246	13	mathematics,.6(2	PERSON
iajs-966	246	14	369	CARDINAL
iajs-966	247	1	2010	DATE
iajs-966	247	2	2	CARDINAL
iajs-966	247	3	23مجلة	CARDINAL
iajs-966	247	4	المقاسات الجزئیة المقیدة	PERSON
iajs-966	247	5	جامعة بغداد ،	ORG
iajs-966	247	6	التربیة،قسم الریاضیات	PERSON
iajs-966	248	1	mعنصـر محایــد، ولـیكن يحلقـة	ORG
iajs-966	248	2	ابدالیــة	PERSON
iajs-966	249	1	هــذا البحـث قــدمنا	ORG
iajs-966	250	1	mمـن المقــاس nیطلــق	ORG
iajs-966	250	2	جزئــي مقیـد	ORG
iajs-966	250	3	تقریبـ مقیـد تقریبـ xm	ORG
iajs-966	251	1	انannr(n)=annr(x	ORG
iajs-966	252	1	، اعطیت	PERSON
iajs-966	252	2	العدیـد مـن النتـا	PERSON
iajs-966	252	3	ً	DATE
iajs-966	252	4	الجزئیـة المقیـدة تقریبـ الـى هـذا	ORG
iajs-966	252	5	العالقــات بینـه	ORG
iajs-966	252	6	اخـرى	GPE
iajs-966	253	1	.المقاسات	ORG