id	sid	eid	entity	type
iajs-2009	1	1	microsoft	ORG
iajs-2009	1	2	160	CARDINAL
iajs-2009	1	3	160	CARDINAL
iajs-2009	1	4	ibn al-haitham jour	PERSON
iajs-2009	3	1	sci	ORG
iajs-2009	3	2	ihjpas	PERSON
iajs-2009	4	1	31	CARDINAL
iajs-2009	5	1	3	CARDINAL
iajs-2009	5	2	2018	DATE
iajs-2009	5	3	two	CARDINAL
iajs-2009	5	4	ku	PERSON
iajs-2009	5	5	r. hasan	PERSON
iajs-2009	6	1	fatema f. kareem fa_sa20072000@yahoo.com department	PERSON
iajs-2009	6	2	al-haitham	ORG
iajs-2009	6	3	university of baghdad	ORG
iajs-2009	6	4	baghdad	GPE
iajs-2009	6	5	iraq	GPE
iajs-2009	7	1	25	CARDINAL
iajs-2009	7	2	june 2018	DATE
iajs-2009	7	3	18 july 2018	DATE
iajs-2009	7	4	december 2018	DATE
iajs-2009	7	5	ku	NORP
iajs-2009	7	6	ˑproperties areˑ	PERSON
iajs-2009	9	1	ˑwe showˑ	PERSON
iajs-2009	10	1	ku	PERSON
iajs-2009	10	2	ku	PERSON
iajs-2009	11	1	1.introduction	CARDINAL
iajs-2009	12	1	1	CARDINAL
iajs-2009	12	2	whichˑ isˑ calledˑˑku	PERSON
iajs-2009	14	1	3	CARDINAL
iajs-2009	14	2	ku-algebras	PERSON
iajs-2009	14	3	ku	NORP
iajs-2009	16	1	algebraic structures	ORG
iajs-2009	17	1	beck	PERSON
iajs-2009	17	2	4	CARDINAL
iajs-2009	18	1	510	CARDINAL
iajs-2009	19	1	11	CARDINAL
iajs-2009	22	1	12	CARDINAL
iajs-2009	24	1	13	CARDINAL
iajs-2009	24	2	x.	GPE
iajs-2009	26	1		ORG
iajs-2009	26	2	ˑproperties areˑ	PERSON
iajs-2009	27	1	2.preliminaries	CARDINAL
iajs-2009	27	2	kusemigroup	NORP
iajs-2009	28	1	1[1-2	CARDINAL
iajs-2009	29	1	0	CARDINAL
iajs-2009	29	2	x	PERSON
iajs-2009	29	3	ku	NORP
iajs-2009	29	4	161	CARDINAL
iajs-2009	29	5	ibn al-haitham jour	PERSON
iajs-2009	31	1	sci	ORG
iajs-2009	31	2	ihjpas	PERSON
iajs-2009	32	1	31	CARDINAL
iajs-2009	33	1	3) 2018	DATE
iajs-2009	33	2	1ku	ORDINAL
iajs-2009	34	1	2ku	ORDINAL
iajs-2009	34	2	00	CARDINAL
iajs-2009	35	1	3ku	ORDINAL
iajs-2009	35	2	4ku	ORDINAL
iajs-2009	35	3	0	CARDINAL
iajs-2009	35	4	0	CARDINAL
iajs-2009	36	1	ku-algebraˑ	PERSON
iajs-2009	37	1	ˑthen	GPE
iajs-2009	37	2	0	CARDINAL
iajs-2009	38	1	thusˑ	PERSON
iajs-2009	38	2	0	DATE
iajs-2009	38	3	x	PERSON
iajs-2009	39	1	xzyx 	PERSON
iajs-2009	39	2	\2 ku	PERSON
iajs-2009	39	3	\3 ku	PERSON
iajs-2009	40	1	\4 ku	PERSON
iajs-2009	40	2	xxy 	PERSON
iajs-2009	41	1	2	CARDINAL
iajs-2009	41	2	xzyx 	PERSON
iajs-2009	41	3	3	CARDINAL
iajs-2009	41	4		DATE
iajs-2009	42	1	3	CARDINAL
iajs-2009	42	2	1	CARDINAL
iajs-2009	44	1	ku	NORP
iajs-2009	44	2	0	CARDINAL
iajs-2009	44	3	x	PERSON
iajs-2009	44	4	xyx 	PERSON
iajs-2009	45	1	4	CARDINAL
iajs-2009	45	2	1	CARDINAL
iajs-2009	45	3	ku	NORP
iajs-2009	46	1	1i	CARDINAL
iajs-2009	46	2	2i	CARDINAL
iajs-2009	47	1	5[15].ˑa	CARDINAL
iajs-2009	47	2	0	DATE
iajs-2009	47	3	beˑa commutativeˑifˑitˑsatisfiesˑ:	PERSON
iajs-2009	47	4	xyyx	GPE
iajs-2009	48	1	6ˑ[15	CARDINAL
iajs-2009	49	1	ku	PERSON
iajs-2009	50	1	7[15	CARDINAL
iajs-2009	51	1	a,0,{x	CARDINAL
iajs-2009	52	1	162 ibn al-haitham jour	QUANTITY
iajs-2009	53	1	sci	ORG
iajs-2009	53	2	ihjpas	PERSON
iajs-2009	54	1	31	CARDINAL
iajs-2009	55	1	3) 2018 thenˑ	DATE
iajs-2009	55	2	0	DATE
iajs-2009	55	3	x	PERSON
iajs-2009	56	1	8	CARDINAL
iajs-2009	57	1	3	CARDINAL
iajs-2009	58	1	ku	NORP
iajs-2009	59	1	0	CARDINAL
iajs-2009	60	1	0	CARDINAL
iajs-2009	60	2	x isˑˑa	PERSON
iajs-2009	60	3	x	GPE
iajs-2009	60	4	zyzxzyxandzxyxzyx 	ORG
iajs-2009	62	1	3,2,1,0{x	CARDINAL
iajs-2009	62	2	beˑa	ORG
iajs-2009	63	1		GPE
iajs-2009	63	2	 -ˑoperation	PERSON
iajs-2009	63	3	0	CARDINAL
iajs-2009	63	4	x	LAW
iajs-2009	64	1	10[3	CARDINAL
iajs-2009	65	1	0	CARDINAL
iajs-2009	65	2	ku	NORP
iajs-2009	67	1	1	CARDINAL
iajs-2009	67	2	2	CARDINAL
iajs-2009	67	3		ORG
iajs-2009	67	4		PRODUCT
iajs-2009	67	5	3	CARDINAL
iajs-2009	67	6	zyzxzyxandzxyxzyx  	ORG
iajs-2009	68	1	3.a	CARDINAL
iajs-2009	68	2	graph ku-semigroupsˑ	PERSON
iajs-2009	70	1	ˑof g ˑasˑ	PERSON
iajs-2009	70	2	ˑof edgesˑ	PERSON
iajs-2009	70	3	ge	ORG
iajs-2009	71	1	0	CARDINAL
iajs-2009	71	2	0ˑ	CARDINAL
iajs-2009	71	3	0	CARDINAL
iajs-2009	72	1	0	CARDINAL
iajs-2009	73	1	0	CARDINAL
iajs-2009	74	1	0	CARDINAL
iajs-2009	74	2	2	CARDINAL
iajs-2009	74	3	1	CARDINAL
iajs-2009	74	4	1	CARDINAL
iajs-2009	74	5	163	CARDINAL
iajs-2009	74	6	al-haitham jour	ORG
iajs-2009	75	1	sci	ORG
iajs-2009	75	2	ihjpas	PERSON
iajs-2009	76	1	31	CARDINAL
iajs-2009	77	1	3) 2018	CARDINAL
iajs-2009	78	1	more than one	CARDINAL
iajs-2009	79	1	two	CARDINAL
iajs-2009	79	2	ˑvertices areˑ	PERSON
iajs-2009	79	3	byˑ	ORG
iajs-2009	79	4	one	CARDINAL
iajs-2009	80	1	1v	CARDINAL
iajs-2009	80	2	2v	CARDINAL
iajs-2009	80	3	1v	CARDINAL
iajs-2009	80	4	2v	CARDINAL
iajs-2009	81	1	ˑone of theˑˑbipartition	ORG
iajs-2009	81	2	subsetˑ isˑ	PERSON
iajs-2009	82	1	1v	CARDINAL
iajs-2009	82	2	2v	CARDINAL
iajs-2009	82	3	ˑgraphˑ	ORG
iajs-2009	83	1	1	CARDINAL
iajs-2009	84	1	ˑby	ORG
iajs-2009	85	1	gehe	PERSON
iajs-2009	86	1	two	CARDINAL
iajs-2009	86	2	1	CARDINAL
iajs-2009	86	3	2	CARDINAL
iajs-2009	86	4	21	CARDINAL
iajs-2009	86	5	1geyx	CARDINAL
iajs-2009	86	6	2geyfxf	CARDINAL
iajs-2009	88	1	16	CARDINAL
iajs-2009	88	2	definitionˑ11	ORG
iajs-2009	89	1	letˑ	PERSON
iajs-2009	89	2	kusemigroup	NORP
iajs-2009	89	3	0	CARDINAL
iajs-2009	92	1	al	PERSON
iajs-2009	93	1	0	DATE
iajs-2009	93	2	areˑ	PERSON
iajs-2009	93	3	1	CARDINAL
iajs-2009	94	1	alra	ORG
iajs-2009	94	2	2	CARDINAL
iajs-2009	94	3	thenˑ	ORG
iajs-2009	94	4	3	CARDINAL
iajs-2009	97	1	4	CARDINAL
iajs-2009	98	1	ˑˑandˑ	PERSON
iajs-2009	98	2	5	CARDINAL
iajs-2009	99	1	1	CARDINAL
iajs-2009	99	2	0,0	CARDINAL
iajs-2009	99	3	axax 	PERSON
iajs-2009	101	1	alra	ORG
iajs-2009	103	1	2	CARDINAL
iajs-2009	103	2	brx	GPE
iajs-2009	103	3	0,0	CARDINAL
iajs-2009	103	4	xbxb 	PERSON
iajs-2009	104	1	abxbxbtherforebabut	PERSON
iajs-2009	107	1	3	CARDINAL
iajs-2009	107	2	1	CARDINAL
iajs-2009	107	3	2	CARDINAL
iajs-2009	107	4	alra	ORG
iajs-2009	107	5	byˑ	ORG
iajs-2009	107	6	2	CARDINAL
iajs-2009	109	1	ˑˑweˑ	PERSON
iajs-2009	109	2	1	CARDINAL
iajs-2009	109	3	164 ibn al-haitham jour	QUANTITY
iajs-2009	110	1	sci	ORG
iajs-2009	110	2	ihjpas	PERSON
iajs-2009	111	1	31	CARDINAL
iajs-2009	112	1	3) 2018	DATE
iajs-2009	118	1	4	CARDINAL
iajs-2009	118	2	bab 	ORG
iajs-2009	118	3	ˑpart	ORG
iajs-2009	118	4	2	CARDINAL
iajs-2009	118	5	3.2	CARDINAL
iajs-2009	118	6		PRODUCT
iajs-2009	118	7		PRODUCT
iajs-2009	118	8	0,0	CARDINAL
iajs-2009	118	9	0,0 	QUANTITY
iajs-2009	119	1	0,0	CARDINAL
iajs-2009	119	2	henceˑ	PERSON
iajs-2009	120	1	5	CARDINAL
iajs-2009	120	2	bab 	PERSON
iajs-2009	120	3	2	CARDINAL
iajs-2009	121	1	barar 	PERSON
iajs-2009	121	2	impliesˑ	PERSON
iajs-2009	123	1	3,2,1,0{x	CARDINAL
iajs-2009	123	2	beˑa ˑsetˑ.	ORG
iajs-2009	123	3		GPE
iajs-2009	123	4	 -ˑoperation	PERSON
iajs-2009	123	5	0	CARDINAL
iajs-2009	123	6	x	LAW
iajs-2009	124	1	3,0{})2,1({})2,0({})1,0	CARDINAL
iajs-2009	124	2	2,0{})3,0	CARDINAL
iajs-2009	124	3		ORG
iajs-2009	125	1	llll	PERSON
iajs-2009	125	2		ORG
iajs-2009	126	1	14	CARDINAL
iajs-2009	127	1	0	CARDINAL
iajs-2009	127	2	x	LAW
iajs-2009	128	1	0({})0	CARDINAL
iajs-2009	128	2	xrxl	PERSON
iajs-2009	131	1	0	CARDINAL
iajs-2009	131	2	x	LAW
iajs-2009	131	3	ku	PERSON
iajs-2009	132	1	0ba	CARDINAL
iajs-2009	133	1	ˑthat 0ba	PERSON
iajs-2009	134	1	6	CARDINAL
iajs-2009	134	2	0)()()(0	CARDINAL
iajs-2009	134	3	0 1 2 3	QUANTITY
iajs-2009	134	4	0	CARDINAL
iajs-2009	134	5	1	CARDINAL
iajs-2009	134	6	1	CARDINAL
iajs-2009	134	7	2	CARDINAL
iajs-2009	134	8	2	CARDINAL
iajs-2009	134	9	3	CARDINAL
iajs-2009	134	10	3	CARDINAL
iajs-2009	134	11	165	CARDINAL
iajs-2009	134	12	ibn al-haitham jour	PERSON
iajs-2009	136	1	sci	ORG
iajs-2009	136	2	ihjpas	PERSON
iajs-2009	137	1	31	CARDINAL
iajs-2009	138	1	3) 2018	DATE
iajs-2009	139	1	0)()()(0	CARDINAL
iajs-2009	139	2	bxbxbxaxbax 	ORG
iajs-2009	140	1	blx	ORG
iajs-2009	141	1	lemma16	ORG
iajs-2009	142	1	0	CARDINAL
iajs-2009	142	2	commutative	ORG
iajs-2009	144	1	0)0(0	LAW
iajs-2009	144	2	00	CARDINAL
iajs-2009	145	1	0	CARDINAL
iajs-2009	146	1		PERSON
iajs-2009	146	2	0	CARDINAL
iajs-2009	146	3	0	DATE
iajs-2009	146	4	lemma6 0	ORG
iajs-2009	146	5	0	CARDINAL
iajs-2009	147	1		NORP
iajs-2009	147	2	0)(0	CARDINAL
iajs-2009	147	3		NORP
iajs-2009	147	4	ya 	PERSON
iajs-2009	147	5	0ya 	PERSON
iajs-2009	147	6	ary	ORG
iajs-2009	149	1	17.ˑ	CARDINAL
iajs-2009	149	2	ku	PERSON
iajs-2009	149	3	vertices areˑ	PERSON
iajs-2009	150	1	xyx 	PERSON
iajs-2009	150	2	areˑ adjacentˑ	PERSON
iajs-2009	150	3		ORG
iajs-2009	151	1	18.ˑ	CARDINAL
iajs-2009	151	2	0	CARDINAL
iajs-2009	151	3		GPE
iajs-2009	151	4	 -ˑoperation	PERSON
iajs-2009	151	5	0	DATE
iajs-2009	151	6	x	LAW
iajs-2009	152	1	0{}),0	CARDINAL
iajs-2009	152	2	0{}),({}),0	DATE
iajs-2009	152	3	0{}),0	CARDINAL
iajs-2009	152	4	0{}),({}),({}),({}),({}),({}),0	CARDINAL
iajs-2009	153	1	0{}),({}),({}),({}),({}),({}),0	CARDINAL
iajs-2009	155	1	byˑ definition17	PERSON
iajs-2009	155	2	followsˑ	ORG
iajs-2009	155	3	0	CARDINAL
iajs-2009	155	4	dcbaxv	GPE
iajs-2009	155	5	ˑˑandˑˑˑ theˑ	PERSON
iajs-2009	155	6	ˑof ˑedgesˑˑis	PERSON
iajs-2009	155	7	0	CARDINAL
iajs-2009	156	1	1	CARDINAL
iajs-2009	156	2	ˑshowsˑ the	ORG
iajs-2009	156	3	ω 𝑋	PRODUCT
iajs-2009	158	1	0ˑ	CARDINAL
iajs-2009	158	2	0	CARDINAL
iajs-2009	159	1	0	CARDINAL
iajs-2009	160	1	0	CARDINAL
iajs-2009	161	1	0	CARDINAL
iajs-2009	162	1	166	CARDINAL
iajs-2009	162	2	ibn al-haitham jour	PERSON
iajs-2009	164	1	sci	ORG
iajs-2009	164	2	ihjpas	PERSON
iajs-2009	165	1	31	CARDINAL
iajs-2009	166	1	3) 2018	DATE
iajs-2009	166	2	19	CARDINAL
iajs-2009	167	1	ˑlet	PERSON
iajs-2009	168	1	3,2,1,0{x	CARDINAL
iajs-2009	169	1	3,2,1,0	CARDINAL
iajs-2009	169	2	1 3	CARDINAL
iajs-2009	170	1	2	CARDINAL
iajs-2009	171	1	2	CARDINAL
iajs-2009	172	1	20	CARDINAL
iajs-2009	174	1	1	CARDINAL
iajs-2009	175	1	ω 𝑋	PERSON
iajs-2009	175	2	2gy	CARDINAL
iajs-2009	175	3	2gb	CARDINAL
iajs-2009	175	4	1gx	CARDINAL
iajs-2009	175	5	2gy	CARDINAL
iajs-2009	178	1	𝑦  𝑏	PERSON
iajs-2009	178	2	0	CARDINAL
iajs-2009	180	1	 𝑏	PERSON
iajs-2009	180	2	𝑧𝑥 0	DATE
iajs-2009	180	3	0	DATE
iajs-2009	180	4	0	CARDINAL
iajs-2009	183	1	ku	NORP
iajs-2009	184	1	xx	ORG
iajs-2009	186	1	22	CARDINAL
iajs-2009	187	1	ku	NORP
iajs-2009	187	2	xann	GPE
iajs-2009	189	1	167	CARDINAL
iajs-2009	189	2	al-haitham jour	ORG
iajs-2009	191	1	sci	ORG
iajs-2009	191	2	ihjpas	PERSON
iajs-2009	192	1	31	CARDINAL
iajs-2009	193	1	3	CARDINAL
iajs-2009	193	2	2018	DATE
iajs-2009	194	1	17	CARDINAL
iajs-2009	195	1		DATE
iajs-2009	196	1	connectingˑ x	PERSON
iajs-2009	198	1		ORG
iajs-2009	199	1	ˑan edgeˑ connectingˑ x	PRODUCT
iajs-2009	200	1	23.ˑ	CARDINAL
iajs-2009	200	2	followsˑ	ORG
iajs-2009	200	3	2121	CARDINAL
iajs-2009	201	1	24	CARDINAL
iajs-2009	204	1	4	CARDINAL
iajs-2009	204	2	nowˑ	ORG
iajs-2009	204	3	introduceˑ ˑthe graphˑ	ORG
iajs-2009	204	4	classesˑ	PERSON
iajs-2009	204	5	23	CARDINAL
iajs-2009	205	1	xyx 	PERSON
iajs-2009	206	1	4	CARDINAL
iajs-2009	208	1	furthermoreˑ	PERSON
iajs-2009	210	1	yxyx	PERSON
iajs-2009	211	1	ku	PERSON
iajs-2009	212	1	26.ˑ	CARDINAL
iajs-2009	212	2	0	CARDINAL
iajs-2009	212	3	cbax	GPE
iajs-2009	213	1		GPE
iajs-2009	213	2	0	DATE
iajs-2009	213	3	x	LAW
iajs-2009	214	1	ω 𝑋 0	ORG
iajs-2009	214	2	ˑe ω	ORG
iajs-2009	215	1	ˑof vertices ˑof	PERSON
iajs-2009	215	2	0	CARDINAL
iajs-2009	215	3	0	CARDINAL
iajs-2009	215	4	0	CARDINAL
iajs-2009	215	5	0	CARDINAL
iajs-2009	215	6	bacann	ORG
iajs-2009	216	1	ω 𝑋	PRODUCT
iajs-2009	217	1	0ˑ	CARDINAL
iajs-2009	217	2	0ˑ	CARDINAL
iajs-2009	217	3	0	CARDINAL
iajs-2009	217	4	0ˑˑ	TIME
iajs-2009	217	5	0ˑˑ	ORDINAL
iajs-2009	218	1	0	CARDINAL
iajs-2009	218	2	0	CARDINAL
iajs-2009	220	1	0	CARDINAL
iajs-2009	222	1	168	CARDINAL
iajs-2009	222	2	al-haitham jour	ORG
iajs-2009	223	1	sci	ORG
iajs-2009	223	2	ihjpas	PERSON
iajs-2009	224	1	31	CARDINAL
iajs-2009	225	1	3) 2018	CARDINAL
iajs-2009	225	2	3	CARDINAL
iajs-2009	226	1	and	ORG
iajs-2009	226	2	0	CARDINAL
iajs-2009	226	3	setˑ	PERSON
iajs-2009	226	4	18	CARDINAL
iajs-2009	226	5	0	CARDINAL
iajs-2009	226	6	4	CARDINAL
iajs-2009	227	1	4	CARDINAL
iajs-2009	228	1	28	CARDINAL
iajs-2009	230	1	1	CARDINAL
iajs-2009	230	2	ω 𝑋	ORG
iajs-2009	230	3	2	CARDINAL
iajs-2009	230	4	xx	PERSON
iajs-2009	230	5	xannxn	ORG
iajs-2009	232	1	ˑ 𝑋	FAC
iajs-2009	233	1	yandx	ORG
iajs-2009	233	2	ˑby ˑanˑ edgeˑ,ˑ thenˑ	ORG
iajs-2009	234	1	thenˑ yx ~	PERSON
iajs-2009	235	1	henceˑ	PERSON
iajs-2009	238	1	exampleˑ27	ORG
iajs-2009	239	1	0	CARDINAL
iajs-2009	240	1	ˑlet	PERSON
iajs-2009	241	1	ω 𝑋	PERSON
iajs-2009	241	2	ω 𝑋	PRODUCT
iajs-2009	242	1	theˑ convers	PERSON
iajs-2009	243	1	ω 𝑋	PRODUCT
iajs-2009	244	1	ω 𝑋	PERSON
iajs-2009	244	2	2	CARDINAL
iajs-2009	244	3	321	CARDINAL
iajs-2009	244	4	3,1	CARDINAL
iajs-2009	244	5	312	CARDINAL
iajs-2009	244	6	121	CARDINAL
iajs-2009	244	7	nn xxxxn	PERSON
iajs-2009	245	1	2211	CARDINAL
iajs-2009	245	2	21	CARDINAL
iajs-2009	245	3		PERSON
iajs-2009	245	4	169	CARDINAL
iajs-2009	245	5	al-haitham jour	ORG
iajs-2009	247	1	sci	ORG
iajs-2009	247	2	ihjpas	PERSON
iajs-2009	248	1	31	CARDINAL
iajs-2009	249	1	3	CARDINAL
iajs-2009	249	2	2018	DATE
iajs-2009	249	3	ˑˑ 𝑋	PERSON
iajs-2009	249	4	ω 𝑋	PRODUCT
iajs-2009	249	5	existˑ	GPE
iajs-2009	249	6	ω 𝑋	ORG
iajs-2009	249	7	2,1	CARDINAL
iajs-2009	249	8	ˑ𝐸 ω	PERSON
iajs-2009	250	1	exampleˑˑ31.ˑˑlet	PERSON
iajs-2009	250	2	0	CARDINAL
iajs-2009	250	3	cbax  beˑˑaˑ	ORG
iajs-2009	251	1		GPE
iajs-2009	251	2		PERSON
iajs-2009	251	3	0	CARDINAL
iajs-2009	251	4	x	LAW
iajs-2009	252	1	ω	PRODUCT
iajs-2009	252	2	ω 𝑋 0	ORG
iajs-2009	254	1	ˑof verticesˑ	PERSON
iajs-2009	254	2	0	CARDINAL
iajs-2009	254	3	0	CARDINAL
iajs-2009	254	4	0	CARDINAL
iajs-2009	254	5	bacann	ORG
iajs-2009	255	1	ω 𝑋	PRODUCT
iajs-2009	256	1	5	CARDINAL
iajs-2009	257	1	ω 𝑋	PERSON
iajs-2009	257	2	ω 𝑋	PRODUCT
iajs-2009	257	3	32.ˑif ω 𝑋	ORG
iajs-2009	257	4	𝑋	PERSON
iajs-2009	258	1	ω	CARDINAL
iajs-2009	259	1	thisˑ	PERSON
iajs-2009	259	2	two	CARDINAL
iajs-2009	259	3	11	CARDINAL
iajs-2009	259	4	22	CARDINAL
iajs-2009	259	5	1v	CARDINAL
iajs-2009	259	6	ˑof 2v	PERSON
iajs-2009	259	7	one	CARDINAL
iajs-2009	260	1	thusˑ	PERSON
iajs-2009	261	1	2321	CARDINAL
iajs-2009	261	2	n 	ORG
iajs-2009	261	3	1312	CARDINAL
iajs-2009	261	4	21	DATE
iajs-2009	261	5	132	CARDINAL
iajs-2009	262	1	two	CARDINAL
iajs-2009	262	2	classesˑ	PERSON
iajs-2009	262	3	1x	CARDINAL
iajs-2009	262	4	2x	CARDINAL
iajs-2009	262	5	𝑋	PERSON
iajs-2009	263	1	33	CARDINAL
iajs-2009	264	1	two	CARDINAL
iajs-2009	264	2	hg 	ORG
iajs-2009	265	1	ynxnf	ORG
iajs-2009	266	1	0ˑ 0ˑ	CARDINAL
iajs-2009	266	2	0ˑ 0ˑ	CARDINAL
iajs-2009	266	3	0ˑ 0ˑ 0ˑ	MONEY
iajs-2009	267	1	0ˑ	CARDINAL
iajs-2009	267	2	0	CARDINAL
iajs-2009	268	1	0ˑ	CARDINAL
iajs-2009	268	2	0ˑˑ	DATE
iajs-2009	269	1	0ˑ	CARDINAL
iajs-2009	269	2	0	CARDINAL
iajs-2009	269	3	0ˑˑ	TIME
iajs-2009	269	4	0	CARDINAL
iajs-2009	269	5	0	CARDINAL
iajs-2009	269	6	0ˑ	CARDINAL
iajs-2009	269	7	170	CARDINAL
iajs-2009	269	8	ibn al-haitham jour	PERSON
iajs-2009	271	1	sci	ORG
iajs-2009	271	2	ihjpas	PERSON
iajs-2009	272	1	31	CARDINAL
iajs-2009	273	1	3	CARDINAL
iajs-2009	273	2	2018	DATE
iajs-2009	274	1	gvx	PERSON
iajs-2009	275	1	ynzfyzfzfxfzfzxzfxnf 	PERSON
iajs-2009	276	1	34	CARDINAL
iajs-2009	277	1	ˑlet	PERSON
iajs-2009	277	2	two	CARDINAL
iajs-2009	278	1	𝑋  ω 𝑌 ˑ	ORG
iajs-2009	278	2	𝑋  𝑌	PERSON
iajs-2009	279	1	ω 𝑋	PERSON
iajs-2009	280	1	ω 𝑌	ORG
iajs-2009	280	2	ω 𝑋 → ω 𝑌	ORG
iajs-2009	280	3	2,1	CARDINAL
iajs-2009	280	4	ni	LOC
iajs-2009	281	1	ˑbyˑ	GPE
iajs-2009	281	2	33	DATE
iajs-2009	281	3	eachˑ	DATE
iajs-2009	284	1	𝑋 ˑ	WORK_OF_ART
iajs-2009	286	1	27 and 31	DATE
iajs-2009	286	2	𝑋  𝑌 ˑ	PERSON
iajs-2009	286	3	ω 𝑋 ω 𝑌	ORG
iajs-2009	287	1	1	CARDINAL
iajs-2009	288	1	leerawat	ORG
iajs-2009	289	1	ku-algebras	GPE
iajs-2009	290	1	scientia magna journal	ORG
iajs-2009	291	1	2009	DATE
iajs-2009	291	2	5	DATE
iajs-2009	291	3	1	CARDINAL
iajs-2009	291	4	54	CARDINAL
iajs-2009	292	1	2	CARDINAL
iajs-2009	294	1	ku-algebras	ORG
iajs-2009	295	1	scientiamagna	ORG
iajs-2009	296	1	2009	DATE
iajs-2009	296	2	5	DATE
iajs-2009	296	3	3	DATE
iajs-2009	296	4	25-31	DATE
iajs-2009	297	1	3	CARDINAL
iajs-2009	297	2	fatema	PERSON
iajs-2009	298	1	f. kareem	PERSON
iajs-2009	299	1	r. h.	PERSON
iajs-2009	299	2	ku	PERSON
iajs-2009	302	1	nat	PERSON
iajs-2009	303	1	2017	DATE
iajs-2009	303	2	8(4	CARDINAL
iajs-2009	304	1	1 4	CARDINAL
iajs-2009	304	2	beck	PERSON
iajs-2009	304	3	i. coloring	PERSON
iajs-2009	305	1	j. algebra.1988	PERSON
iajs-2009	305	2	116	CARDINAL
iajs-2009	305	3	208	CARDINAL
iajs-2009	306	1	5	CARDINAL
iajs-2009	306	2	akbari	PERSON
iajs-2009	307	1	s.	PERSON
iajs-2009	307	2	kiani	PERSON
iajs-2009	308	1	d.	NORP
iajs-2009	308	2	mohammadi.	PERSON
iajs-2009	310	1	s.	PERSON
iajs-2009	311	1	j. pure	PERSON
iajs-2009	313	1	2009	DATE
iajs-2009	313	2	213	CARDINAL
iajs-2009	313	3	2224-2228	CARDINAL
iajs-2009	314	1	anderson	PERSON
iajs-2009	314	2	d. f.	PERSON
iajs-2009	314	3	badawi.	PERSON
iajs-2009	317	1	j. algebra	PERSON
iajs-2009	318	1	2008	DATE
iajs-2009	318	2	320	CARDINAL
iajs-2009	318	3	2706	CARDINAL
iajs-2009	319	1	7	CARDINAL
iajs-2009	320	1	m.; rakeei	PERSON
iajs-2009	321	1	z.	PERSON
iajs-2009	322	1	commutative rings ii	ORG
iajs-2009	323	1	2008	DATE
iajs-2009	323	2	10	DATE
iajs-2009	323	3	4	DATE
iajs-2009	323	4	741	CARDINAL
iajs-2009	324	1	8	CARDINAL
iajs-2009	325	1	demeyer.	PERSON
iajs-2009	326	1	f.	PERSON
iajs-2009	329	1	zero	CARDINAL
iajs-2009	330	1	semigroup	ORG
iajs-2009	331	1	2002	DATE
iajs-2009	331	2	65	DATE
iajs-2009	331	3	206	CARDINAL
iajs-2009	332	1	9	CARDINAL
iajs-2009	333	1	s. b.	PERSON
iajs-2009	336	1	2002	DATE
iajs-2009	336	2	7	DATE
iajs-2009	336	3	30	DATE
iajs-2009	336	4	3533-3558	CARDINAL
iajs-2009	337	1	10	CARDINAL
iajs-2009	339	1	zero	CARDINAL
iajs-2009	341	1	j. 2011	PERSON
iajs-2009	341	2	1	CARDINAL
iajs-2009	341	3	12	DATE
iajs-2009	341	4	57	CARDINAL
iajs-2009	343	1	lee	PERSON
iajs-2009	344	1	k.j.	GPE
iajs-2009	346	1	j. math.math	PERSON
iajs-2009	347	1	sci. 2011	ORG
iajs-2009	347	2	1	CARDINAL
iajs-2009	347	3	1	CARDINAL
iajs-2009	347	4	12	CARDINAL
iajs-2009	349	1	borzooei	PERSON
iajs-2009	350	1	r. graph	PERSON
iajs-2009	352	1	j. math	PERSON
iajs-2009	354	1	sci	ORG
iajs-2009	354	2	2012	DATE
iajs-2009	354	3	1	CARDINAL
iajs-2009	354	4	article 1-12	LAW
iajs-2009	354	5	13	CARDINAL
iajs-2009	355	1	s. m.	PERSON
iajs-2009	356	1	f.f.	PERSON
iajs-2009	358	1	2016	CARDINAL
iajs-2009	358	2	4	DATE
iajs-2009	358	3	2	DATE
iajs-2009	358	4	92	CARDINAL
iajs-2009	359	1	14	CARDINAL
iajs-2009	361	1	s. m.	PERSON
iajs-2009	361	2	abd-elnaby	PERSON
iajs-2009	362	1	m. a.	PERSON
iajs-2009	362	2	yousef	PERSON
iajs-2009	362	3	m. m. m.	PERSON
iajs-2009	362	4	ku-algebras	ORG
iajs-2009	364	1	2011	DATE
iajs-2009	364	2	6	CARDINAL
iajs-2009	364	3	63	DATE
iajs-2009	364	4	3139-3149	CARDINAL
iajs-2009	365	1	15	CARDINAL
iajs-2009	366	1	s. m.	PERSON
iajs-2009	366	2	radwan	PERSON
iajs-2009	367	1	a. e.	PERSON
iajs-2009	368	1	f. a.	PERSON
iajs-2009	369	1	f. f.	PERSON
iajs-2009	370	1	ku	PERSON
iajs-2009	371	1	1	CARDINAL
iajs-2009	371	2	2015	DATE
iajs-2009	371	3	1	CARDINAL
iajs-2009	371	4	1	CARDINAL
iajs-2009	372	1	16	CARDINAL
iajs-2009	373	1	wilson	ORG
iajs-2009	373	2	r.j.	PERSON
iajs-2009	374	1	oliver	PERSON
iajs-2009	374	2	boyed	GPE
iajs-2009	374	3	edinburgh	GPE
iajs-2009	374	4	1972	DATE