id	sid	eid	entity	type
iajs-828	1	1	ibn alhaitham j.	PERSON
iajs-828	2	1	sci.	ORG
iajs-828	2	2	3) 2011	DATE
iajs-828	2	3	i. a. saed university of technology	PERSON
iajs-828	2	4	30 november 2010	DATE
iajs-828	2	5	27 february 2011	DATE
iajs-828	3	1	jordan	PERSON
iajs-828	5	1	two	CARDINAL
iajs-828	5	2	r.	NORP
iajs-828	5	3	jordan	PERSON
iajs-828	6	1	1	CARDINAL
iajs-828	6	2	1.1	CARDINAL
iajs-828	7	1	1	CARDINAL
iajs-828	7	2	two	CARDINAL
iajs-828	8	1	1a +	CARDINAL
iajs-828	8	2	2a	CARDINAL
iajs-828	8	3	3(a+b	CARDINAL
iajs-828	10	1	5there	CARDINAL
iajs-828	10	2	6a	CARDINAL
iajs-828	11	1	7a	CARDINAL
iajs-828	13	1	8a	CARDINAL
iajs-828	14	1	a.b + a.c	PERSON
iajs-828	14	2	b.a + c.a deinition 1.2	ORG
iajs-828	15	1	1	CARDINAL
iajs-828	15	2	0	CARDINAL
iajs-828	15	3	b=0	NORP
iajs-828	16	1	1.3:[1	DATE
iajs-828	16	2	ara =	PERSON
iajs-828	16	3	0	CARDINAL
iajs-828	16	4	1.4:[1	CARDINAL
iajs-828	18	1	ibn alhaitham j.	PERSON
iajs-828	19	1	sci.	ORG
iajs-828	19	2	3) 2011	DATE
iajs-828	19	3	1.5	CARDINAL
iajs-828	20	1	1	CARDINAL
iajs-828	21	1	0	CARDINAL
iajs-828	21	2	2	CARDINAL
iajs-828	21	3	0	CARDINAL
iajs-828	22	1	20 and 30	DATE
iajs-828	22	2	2r3	CARDINAL
iajs-828	22	3	0	CARDINAL
iajs-828	23	1	1.6:[2	CARDINAL
iajs-828	24	1	1.7:[2	CARDINAL
iajs-828	25	1	y 	PERSON
iajs-828	25	2	r.	PERSON
iajs-828	25	3	1.8:[2	DATE
iajs-828	26	1	d(xy)= d(x)y + xd(y	PERSON
iajs-828	26	2	jordan	GPE
iajs-828	26	3	d(x	ORG
iajs-828	26	4	2)=d(x)x+xd(x	PRODUCT
iajs-828	27	1	two	CARDINAL
iajs-828	27	2	d(xy)=	NORP
iajs-828	28	1	2	CARDINAL
iajs-828	29	1	r.	PERSON
iajs-828	29	2	1.10:[4	CARDINAL
iajs-828	30	1	r. g(xy)= g(x)y + xd(y	PERSON
iajs-828	30	2	y 	PERSON
iajs-828	30	3	jordan s-derivation	PERSON
iajs-828	30	4	d(x 2)=d(x)x	ORG
iajs-828	30	5	r. g(x2)=g(x)x	PERSON
iajs-828	30	6	r.	PERSON
iajs-828	31	1	1.11:[4	CARDINAL
iajs-828	31	2	xa	ORG
iajs-828	31	3	r.	PERSON
iajs-828	31	4	d(x	ORG
iajs-828	33	1	r.	NORP
iajs-828	33	2	1.12:[4	CARDINAL
iajs-828	35	1	ibn alhaitham j.	PERSON
iajs-828	36	1	sci.	ORG
iajs-828	36	2	3) 2011	DATE
iajs-828	36	3	1.13:[4	CARDINAL
iajs-828	36	4	2	CARDINAL
iajs-828	36	5	xax	PERSON
iajs-828	36	6	xay ≠ 0	PERSON
iajs-828	36	7	r.	NORP
iajs-828	36	8	d(x	ORG
iajs-828	39	1	jordan s	PERSON
iajs-828	40	1	1.14:[5	CARDINAL
iajs-828	41	1	c[a	PERSON
iajs-828	42	1	0	CARDINAL
iajs-828	43	1	r. §2	PERSON
iajs-828	43	2	,)-s	NORP
iajs-828	43	3	,)-s	NORP
iajs-828	43	4	jordan	PERSON
iajs-828	43	5	jordan	PERSON
iajs-828	43	6	,)-s	NORP
iajs-828	44	1	two	CARDINAL
iajs-828	44	2	r.	NORP
iajs-828	45	1	2.1	CARDINAL
iajs-828	46	1	,)-s	NORP
iajs-828	46	2	two	CARDINAL
iajs-828	47	1	y 	PERSON
iajs-828	47	2	r. g(xy)=g(x)σ(y	PERSON
iajs-828	48	1	y 	PERSON
iajs-828	48	2	jordan	PERSON
iajs-828	48	3	,)-s	NORP
iajs-828	48	4	r. g(x2)=g(x)σ(x	PERSON
iajs-828	48	5	r. the	PERSON
iajs-828	48	6	2.2	CARDINAL
iajs-828	48	7	0	CARDINAL
iajs-828	48	8	r.	PERSON
iajs-828	49	1	d(x	ORG
iajs-828	50	1	two	CARDINAL
iajs-828	51	1	,)-s	NORP
iajs-828	51	2	r.	NORP
iajs-828	54	1	ibn alhaitham j.	PERSON
iajs-828	55	1	sci.	ORG
iajs-828	55	2	3) 2011	DATE
iajs-828	55	3	,)-s	NORP
iajs-828	56	1	2.3	CARDINAL
iajs-828	56	2	,)-s	NORP
iajs-828	56	3	,)-s	NORP
iajs-828	57	1	2.4	CARDINAL
iajs-828	57	2	2	CARDINAL
iajs-828	57	3	0	CARDINAL
iajs-828	57	4	but(x	ORG
iajs-828	57	5	r.	PERSON
iajs-828	58	1	d(x	ORG
iajs-828	59	1	r.	NORP
iajs-828	59	2	two	CARDINAL
iajs-828	60	1	,)-s	NORP
iajs-828	60	2	,)-s	NORP
iajs-828	61	1	d(x	ORG
iajs-828	63	1	σ(x	ORG
iajs-828	64	1	(x)aσ(x	ORG
iajs-828	66	1	(x)aσ(x	ORG
iajs-828	67	1	2	CARDINAL
iajs-828	67	2	jordan	PERSON
iajs-828	67	3	,)-s	NORP
iajs-828	68	1	,)-s	NORP
iajs-828	72	1	σ(y	PERSON
iajs-828	73	1	σ(y	PERSON
iajs-828	76	1	σ(y	PERSON
iajs-828	81	1	(x)aσ(y)≠0	GPE
iajs-828	81	2	two	CARDINAL
iajs-828	81	3	,)-s	NORP
iajs-828	82	1	ibn alhaitham j.	PERSON
iajs-828	83	1	sci.	ORG
iajs-828	83	2	3) 2011	DATE
iajs-828	83	3	2.5	CARDINAL
iajs-828	84	1	r.	NORP
iajs-828	84	2	d(x	ORG
iajs-828	88	1	1	CARDINAL
iajs-828	88	2	1	CARDINAL
iajs-828	88	3	r. d(x)(g(y)σ(x	PERSON
iajs-828	89	1	r. d(x)g(y)σ(x	PERSON
iajs-828	90	1	2	CARDINAL
iajs-828	91	1	3	CARDINAL
iajs-828	91	2	3	CARDINAL
iajs-828	91	3	y r. g(x)(d(y)σ(x	PERSON
iajs-828	92	1	r. g(x)d(y)σ(x	PERSON
iajs-828	93	1	r. g(x)(y)g(x)=0	PERSON
iajs-828	93	2	y 	PERSON
iajs-828	93	3	4	CARDINAL
iajs-828	93	4	r. proposition 2.6	WORK_OF_ART
iajs-828	94	1	r.	NORP
iajs-828	94	2	± (x	TIME
iajs-828	95	1	g(x)=± (x	PERSON
iajs-828	97	1	xy	ORG
iajs-828	97	2	1	CARDINAL
iajs-828	97	3	1	CARDINAL
iajs-828	97	4	r. d(x)σ(y	PERSON
iajs-828	97	5	y  r. σ(x)σ(y)+(x)g(y)= σ(x)σ(y	PERSON
iajs-828	97	6	r. (x)g(y)=0	PERSON
iajs-828	100	1	2	CARDINAL
iajs-828	100	2	2	CARDINAL
iajs-828	104	1	3	CARDINAL
iajs-828	104	2	3	CARDINAL
iajs-828	104	3	r. ibn alhaitham j.	PERSON
iajs-828	105	1	sci.	ORG
iajs-828	105	2	3) 2011	DATE
iajs-828	105	3	2.7	CARDINAL
iajs-828	105	4	two	CARDINAL
iajs-828	105	5	r.	NORP
iajs-828	105	6	1if	ORDINAL
iajs-828	106	1	,)-s	NORP
iajs-828	107	1	,)-s	NORP
iajs-828	108	1	,)-s	NORP
iajs-828	108	2	d(xy)= d(x	PERSON
iajs-828	112	1	1	CARDINAL
iajs-828	117	1	2	CARDINAL
iajs-828	117	2	1	CARDINAL
iajs-828	117	3	2	CARDINAL
iajs-828	117	4	,)-derivation 2we	LAW
iajs-828	117	5	,)-s	NORP
iajs-828	118	1	d(x	ORG
iajs-828	127	1	4	CARDINAL
iajs-828	127	2	3	CARDINAL
iajs-828	127	3	2	CARDINAL
iajs-828	127	4	r. hence	PERSON
iajs-828	127	5	d+g	PERSON
iajs-828	128	1	3	CARDINAL
iajs-828	128	2	nonzero divisor	ORG
iajs-828	128	3	,)-s	NORP
iajs-828	129	1	3.1	CARDINAL
iajs-828	129	2	2	CARDINAL
iajs-828	129	3	,)-s	NORP
iajs-828	131	1	r.	NORP
iajs-828	131	2	,)-s	NORP
iajs-828	138	1	1	CARDINAL
iajs-828	139	1	y 	PERSON
iajs-828	139	2	ibn alhaitham j.	PERSON
iajs-828	140	1	sci.	ORG
iajs-828	140	2	3) 2011	CARDINAL
iajs-828	141	1	2	CARDINAL
iajs-828	141	2	4	CARDINAL
iajs-828	141	3	5	CARDINAL
iajs-828	141	4	y 	PERSON
iajs-828	142	1	2	CARDINAL
iajs-828	142	2	r_____(8	PERSON
iajs-828	142	3	3	CARDINAL
iajs-828	142	4	2.3.7	CARDINAL
iajs-828	142	5	r.	NORP
iajs-828	142	6	3.2	CARDINAL
iajs-828	142	7	,)-s	NORP
iajs-828	143	1	r.	NORP
iajs-828	143	2	,)-s	NORP
iajs-828	143	3	5	CARDINAL
iajs-828	143	4	1	CARDINAL
iajs-828	143	5	3.1	CARDINAL
iajs-828	143	6	r.	NORP
iajs-828	143	7	3.3	CARDINAL
iajs-828	143	8	nonzero divisor	ORG
iajs-828	143	9	,)-s	NORP
iajs-828	143	10	r.	NORP
iajs-828	144	1	2	CARDINAL
iajs-828	144	2	y  r____(1	PERSON
iajs-828	144	3	3	CARDINAL
iajs-828	145	1	4	CARDINAL
iajs-828	146	1	d(y)(x 2	PERSON
iajs-828	146	2	5	CARDINAL
iajs-828	147	1	6	CARDINAL
iajs-828	147	2	2)=d(yx)(x)+	DATE
iajs-828	147	3	7	CARDINAL
iajs-828	147	4	8	CARDINAL
iajs-828	148	1	d(y)(x 2	PERSON
iajs-828	148	2	y 	PERSON
iajs-828	148	3	9	CARDINAL
iajs-828	148	4	2	CARDINAL
iajs-828	148	5	4	CARDINAL
iajs-828	148	6	ibn alhaitham j.	PERSON
iajs-828	149	1	sci.	ORG
iajs-828	149	2	3) 2011	DATE
iajs-828	149	3	(y)((x)d(x)-(x)g(x))=0	ORG
iajs-828	149	4	5	CARDINAL
iajs-828	149	5	5	CARDINAL
iajs-828	149	6	(r	ORG
iajs-828	149	7	7	CARDINAL
iajs-828	149	8	6	CARDINAL
iajs-828	150	1	nonzero divisor	ORG
iajs-828	150	2	linearizing	PERSON
iajs-828	150	3	9	CARDINAL
iajs-828	152	1	y 	PERSON
iajs-828	152	2	r_____(11	GPE
iajs-828	152	3	11	CARDINAL
iajs-828	152	4	11	CARDINAL
iajs-828	152	5	(r	ORG
iajs-828	152	6	(r)(x)(d-g)(y	ORG
iajs-828	158	1	13	CARDINAL
iajs-828	158	2	12	CARDINAL
iajs-828	158	3	13	CARDINAL
iajs-828	163	1	14	CARDINAL
iajs-828	163	2	14	CARDINAL
iajs-828	167	1	15	CARDINAL
iajs-828	167	2	14	CARDINAL
iajs-828	167	3	r_____(16	ORG
iajs-828	167	4	16	CARDINAL
iajs-828	167	5	15	CARDINAL
iajs-828	173	1	17	CARDINAL
iajs-828	173	2	nonzero divisor	ORG
iajs-828	173	3	y r_____(18	PERSON
iajs-828	174	1	1	CARDINAL
iajs-828	175	1	herstien	PERSON
iajs-828	175	2	i.n.	GPE
iajs-828	175	3	1969	DATE
iajs-828	175	4	the university of chicago press	ORG
iajs-828	175	5	chicago	GPE
iajs-828	176	1	2	CARDINAL
iajs-828	176	2	ashraf	PERSON
iajs-828	176	3	m., ali	PERSON
iajs-828	176	4	s.	PERSON
iajs-828	176	5	2006	DATE
iajs-828	176	6	the aligarh bull	ORG
iajs-828	176	7	25(2	CARDINAL
iajs-828	176	8	79	CARDINAL
iajs-828	177	1	3	CARDINAL
iajs-828	177	2	hamdi	ORG
iajs-828	177	3	a.d.	GPE
iajs-828	177	4	2007	DATE
iajs-828	177	5	msc	PERSON
iajs-828	178	1	baghdad	GPE
iajs-828	179	1	4	CARDINAL
iajs-828	179	2	yass	ORG
iajs-828	179	3	s.	PERSON
iajs-828	179	4	2010	DATE
iajs-828	179	5	msc	PERSON
iajs-828	180	1	baghdad	GPE
iajs-828	181	1	5	CARDINAL
iajs-828	181	2	cortes	ORG
iajs-828	181	3	w.	PERSON
iajs-828	181	4	jordan	GPE
iajs-828	181	5	turkish	NORP
iajs-828	181	6	29(1),1-10	CARDINAL
iajs-828	181	7	3	CARDINAL
iajs-828	181	8	على الحلقات	PERSON
iajs-828	181	9	,(-األشتقاقات	CARDINAL
iajs-828	181	10	احمد الجامعة التكنولوجیة	PERSON
iajs-828	181	11	30	CARDINAL
iajs-828	181	12	استلم البحث	PRODUCT
iajs-828	181	13	2011شباط 27	DATE
iajs-828	182	1	الخالصة	GPE
iajs-828	183	1	، ندرس الحلقات األولیة، الحلقات شبه األولیة	PERSON
iajs-828	184	1	العالقة	LAW
iajs-828	185	1	على األشتقاق	PERSON
iajs-828	185	2	,(-، األشتقاق	GPE