id	sid	eid	entity	type
iajs-2429	1	1	microsoft	ORG
iajs-2429	1	2	81-94	CARDINAL
iajs-2429	1	3	81	CARDINAL
iajs-2429	1	4	ibn al-haitham jour	PERSON
iajs-2429	3	1	sci	ORG
iajs-2429	4	1	33	CARDINAL
iajs-2429	4	2	2	CARDINAL
iajs-2429	4	3	semisecond submodules zainab saadi      	ORG
iajs-2429	4	4	ghaleb ahmed	PERSON
iajs-2429	6	1	𝑁𝑎 𝑁𝑎	PERSON
iajs-2429	7	1	semisecond submodules	PERSON
iajs-2429	7	2	semisecond submodules	PERSON
iajs-2429	8	1	1	CARDINAL
iajs-2429	8	2	𝑆 𝐸𝑛𝑑 𝑀	PERSON
iajs-2429	8	3	⊆	CARDINAL
iajs-2429	9	1	second	ORDINAL
iajs-2429	9	2	zero	CARDINAL
iajs-2429	9	3	𝐼𝑚𝑓 𝑁𝑎 𝑁	PERSON
iajs-2429	9	4	𝐼𝑚𝑓 𝑁𝑎 0	PERSON
iajs-2429	10	1	1	CARDINAL
iajs-2429	12	1	second	ORDINAL
iajs-2429	12	2	𝑁𝐼	ORG
iajs-2429	12	3	𝑁𝐼	ORG
iajs-2429	12	4	𝐼 of 𝑅 [1	ORG
iajs-2429	13	1	𝑅[1	ORG
iajs-2429	14	1	second	ORDINAL
iajs-2429	14	2	second	ORDINAL
iajs-2429	14	3	1	CARDINAL
iajs-2429	15	1	second	ORDINAL
iajs-2429	15	2	second	ORDINAL
iajs-2429	15	3	2	CARDINAL
iajs-2429	16	1	second	ORDINAL
iajs-2429	16	2	𝑁𝑎 ⊆ 𝐾 or	PERSON
iajs-2429	17	1	2	CARDINAL
iajs-2429	18	1	second	ORDINAL
iajs-2429	18	2	𝑁𝑎𝑏 𝑁𝑎	PERSON
iajs-2429	18	3	2	CARDINAL
iajs-2429	19	1	second	ORDINAL
iajs-2429	19	2	3	CARDINAL
iajs-2429	21	1	⊆	CARDINAL
iajs-2429	21	2	4	CARDINAL
iajs-2429	22	1	5	CARDINAL
iajs-2429	23	1	second	ORDINAL
iajs-2429	24	1	al haitham	ORG
iajs-2429	24	2	10.30526/33.2.2429 zoozaih89@gmail.com	EVENT
iajs-2429	24	3	2	CARDINAL
iajs-2429	24	4	june 2019	DATE
iajs-2429	24	5	15 july 2019	DATE
iajs-2429	24	6	april 2020	DATE
iajs-2429	25	1	university of mustansiriyah	ORG
iajs-2429	25	2	82	CARDINAL
iajs-2429	25	3	ibn al-haitham jour	PERSON
iajs-2429	26	1	sci	ORG
iajs-2429	27	1	33	CARDINAL
iajs-2429	27	2	2	CARDINAL
iajs-2429	28	1	𝑁𝑎 ⊆ 𝐾 or	PERSON
iajs-2429	28	2	integer 𝑡.	PERSON
iajs-2429	28	3	𝐼𝑚𝑓 𝑁𝑎 𝑁	PERSON
iajs-2429	28	4	𝐼𝑚𝑓 𝑁𝑎 0	PERSON
iajs-2429	29	1	1	CARDINAL
iajs-2429	31	1	𝐼 of 𝑅	ORG
iajs-2429	31	2	𝑁𝐼	ORG
iajs-2429	31	3	1	CARDINAL
iajs-2429	33	1	1	CARDINAL
iajs-2429	34	1	𝑁𝑎𝑏 ⊆	ORG
iajs-2429	35	1	6	CARDINAL
iajs-2429	36	1	2	CARDINAL
iajs-2429	37	1	zero	CARDINAL
iajs-2429	38	1	0	CARDINAL
iajs-2429	39	1	7	CARDINAL
iajs-2429	40	1	coquasi	PERSON
iajs-2429	41	1	8	CARDINAL
iajs-2429	42	1	𝑀𝑎 𝑀	PERSON
iajs-2429	42	2	0	CARDINAL
iajs-2429	45	1	9	CARDINAL
iajs-2429	46	1	zero	CARDINAL
iajs-2429	46	2	submodule	ORG
iajs-2429	47	1	𝐼	ORG
iajs-2429	47	2	10	CARDINAL
iajs-2429	48	1	𝐼	ORG
iajs-2429	48	2	⊆	CARDINAL
iajs-2429	48	3	10	CARDINAL
iajs-2429	49	1	11	CARDINAL
iajs-2429	51	1	𝐼 𝐼	PERSON
iajs-2429	51	2	11	CARDINAL
iajs-2429	52	1	∈	ORG
iajs-2429	52	2	6	CARDINAL
iajs-2429	53	1	zero	CARDINAL
iajs-2429	54	1	𝐼	ORG
iajs-2429	55	1	6	CARDINAL
iajs-2429	56	1	𝑆-second	PERSON
iajs-2429	57	1	12	CARDINAL
iajs-2429	58	1	second	ORDINAL
iajs-2429	59	1	3	CARDINAL
iajs-2429	60	1	second	ORDINAL
iajs-2429	61	1	3	CARDINAL
iajs-2429	62	1	𝐼 of 𝑅	ORG
iajs-2429	63	1	13	CARDINAL
iajs-2429	64	1	13	CARDINAL
iajs-2429	67	1	14	CARDINAL
iajs-2429	68	1	semisecond submodules	ORG
iajs-2429	69	1	𝑁𝑎 𝑁𝑎	PERSON
iajs-2429	70	1	2	CARDINAL
iajs-2429	71	1	𝑀	PERSON
iajs-2429	74	1	∈	ORG
iajs-2429	74	2	9	CARDINAL
iajs-2429	75	1	7	CARDINAL
iajs-2429	76	1	𝐴 ⊆ 𝐼	ORG
iajs-2429	76	2	𝐴 ⊆ 𝐼	PRODUCT
iajs-2429	77	1	83	CARDINAL
iajs-2429	77	2	ibn al-haitham jour	PERSON
iajs-2429	79	1	sci	ORG
iajs-2429	80	1	33	CARDINAL
iajs-2429	80	2	2	CARDINAL
iajs-2429	80	3	2020	DATE
iajs-2429	81	1	von neumann	PERSON
iajs-2429	82	1	15	CARDINAL
iajs-2429	83	1	von neumann	PERSON
iajs-2429	85	1	𝑁𝐼	ORG
iajs-2429	85	2	𝐼 of 𝑅	ORG
iajs-2429	86	1	15	CARDINAL
iajs-2429	88	1	von neumann	PERSON
iajs-2429	90	1	16	CARDINAL
iajs-2429	92	1	16	CARDINAL
iajs-2429	93	1	von neumann	PERSON
iajs-2429	94	1	𝑅module	GPE
iajs-2429	95	1	𝑁𝑎 ⊆	PERSON
iajs-2429	95	2	𝑁𝑎 ⊆ 𝐾	PERSON
iajs-2429	96	1	17	CARDINAL
iajs-2429	97	1	2	CARDINAL
iajs-2429	97	2	second	ORDINAL
iajs-2429	97	3	𝑁𝑎𝑏 𝑁𝑎	PERSON
iajs-2429	97	4	𝑁𝑎𝑏 𝑁𝑏 or 𝑁𝑎𝑏 0	ORG
iajs-2429	98	1	18	CARDINAL
iajs-2429	99	1	𝑀𝐼	ORG
iajs-2429	100	1	19	CARDINAL
iajs-2429	101	1	20-23	CARDINAL
iajs-2429	103	1	five	CARDINAL
iajs-2429	104	1	second	ORDINAL
iajs-2429	104	2	2.2	CARDINAL
iajs-2429	104	3	2.4	DATE
iajs-2429	104	4	2.8	CARDINAL
iajs-2429	105	1	2.3	CARDINAL
iajs-2429	106	1	2.5	CARDINAL
iajs-2429	106	2	2.6	CARDINAL
iajs-2429	107	1	section three	LAW
iajs-2429	107	2	3.1	CARDINAL
iajs-2429	107	3	semisecond submodules	PERSON
iajs-2429	108	1	3.9	CARDINAL
iajs-2429	108	2	3.12	CARDINAL
iajs-2429	109	1	section four	LAW
iajs-2429	109	2	semisecond submodules	PERSON
iajs-2429	110	1	semisecond	ORG
iajs-2429	110	2	4.1	CARDINAL
iajs-2429	111	1	semisecond	ORG
iajs-2429	111	2	von neumann	PERSON
iajs-2429	111	3	4.7	CARDINAL
iajs-2429	112	1	section five	LAW
iajs-2429	113	1	ℤ	ORG
iajs-2429	113	2	ℤ	ORG
iajs-2429	113	3	ℤ ℤ ℤ	PERSON
iajs-2429	113	4	𝑀𝑎𝑡 𝑅	PERSON
iajs-2429	114	1	semisecond submodules	PERSON
iajs-2429	114	2	semisecond submodules	ORG
iajs-2429	114	3	first	ORDINAL
iajs-2429	115	1	2.1	CARDINAL
iajs-2429	116	1	2	CARDINAL
iajs-2429	117	1	𝑁𝑎 𝑁𝑎	PERSON
iajs-2429	117	2	2.2	CARDINAL
iajs-2429	117	3	2	CARDINAL
iajs-2429	118	1	𝑁𝑎 ⊆	PERSON
iajs-2429	118	2	𝑁𝑎 ⊆	PERSON
iajs-2429	118	3	84	CARDINAL
iajs-2429	118	4	ibn al-haitham jour	PERSON
iajs-2429	120	1	sci	ORG
iajs-2429	121	1	33	CARDINAL
iajs-2429	121	2	2	CARDINAL
iajs-2429	121	3	2020	DATE
iajs-2429	122	1	1	CARDINAL
iajs-2429	122	2	2	CARDINAL
iajs-2429	122	3	𝑁𝑎 𝑁𝑎	PERSON
iajs-2429	122	4	𝑁𝑎 𝑁𝑎	PERSON
iajs-2429	122	5	⊆	CARDINAL
iajs-2429	123	1	3	CARDINAL
iajs-2429	123	2	1	CARDINAL
iajs-2429	123	3	𝑁𝑎	GPE
iajs-2429	124	1	𝑁𝑎 ⊆ 𝑁𝑎	PERSON
iajs-2429	124	2	𝑁𝑎 𝑁𝑎	PERSON
iajs-2429	125	1	2.3	CARDINAL
iajs-2429	125	2	1	CARDINAL
iajs-2429	125	3	semisecond submodules	ORG
iajs-2429	125	4	17	CARDINAL
iajs-2429	126	1	2	CARDINAL
iajs-2429	126	2	second	ORDINAL
iajs-2429	127	1	ℤ	ORG
iajs-2429	127	2	ℤ-module	ORG
iajs-2429	127	3	ℤ	ORG
iajs-2429	128	1	ℤ	ORG
iajs-2429	129	1	ℤ	ORG
iajs-2429	129	2	second	ORDINAL
iajs-2429	129	3	ℤ	ORG
iajs-2429	129	4	3	CARDINAL
iajs-2429	130	1	2.3	CARDINAL
iajs-2429	131	1	2	CARDINAL
iajs-2429	131	2	3	CARDINAL
iajs-2429	131	3	2	CARDINAL
iajs-2429	131	4	⊕ ℤ	PERSON
iajs-2429	131	5	𝑀 ℤ ⊕ ℤ	ORG
iajs-2429	131	6	ℤ-module	ORG
iajs-2429	132	1	𝑁𝑎 𝑁𝑎	PERSON
iajs-2429	132	2	second	ORDINAL
iajs-2429	133	1	𝑁.	NORP
iajs-2429	133	2	𝑁.	ORG
iajs-2429	133	3	0 ⊕ ℤ	ORG
iajs-2429	133	4	ℤ	ORG
iajs-2429	135	1	4	CARDINAL
iajs-2429	135	2	semisecond.	ORG
iajs-2429	136	1	5	CARDINAL
iajs-2429	136	2	semisecond.	ORG
iajs-2429	137	1	ℤ	ORG
iajs-2429	137	2	ℤ-module	ORG
iajs-2429	138	1	4	CARDINAL
iajs-2429	139	1	ℤ	ORG
iajs-2429	139	2	2	CARDINAL
iajs-2429	139	3	2	CARDINAL
iajs-2429	140	1	6	CARDINAL
iajs-2429	140	2	semisecond submodules	PERSON
iajs-2429	141	1	ℤ	ORG
iajs-2429	141	2	ℤ-module	ORG
iajs-2429	141	3	2	CARDINAL
iajs-2429	141	4	ℤ	ORG
iajs-2429	141	5	4	CARDINAL
iajs-2429	142	1	7	CARDINAL
iajs-2429	142	2	coquasi	PERSON
iajs-2429	142	3	submodule 	ORG
iajs-2429	142	4	second	ORDINAL
iajs-2429	142	5	submodule 	ORG
iajs-2429	142	6	2	CARDINAL
iajs-2429	142	7	second	ORDINAL
iajs-2429	142	8	second	ORDINAL
iajs-2429	142	9	semisecond submodules	ORG
iajs-2429	143	1	𝑀 ℤ ⊕ ℤ	PERSON
iajs-2429	143	2	ℤ-module	ORG
iajs-2429	143	3	2	CARDINAL
iajs-2429	143	4	second	ORDINAL
iajs-2429	143	5	3	CARDINAL
iajs-2429	143	6	⊕ ℤ	PERSON
iajs-2429	143	7	2	CARDINAL
iajs-2429	145	1	ℤ	ORG
iajs-2429	145	2	𝑁𝑎 𝑁𝑎	PERSON
iajs-2429	145	3	9	CARDINAL
iajs-2429	145	4	𝑁and 𝐻	PERSON
iajs-2429	145	5	⊆	CARDINAL
iajs-2429	145	6	⊆	CARDINAL
iajs-2429	145	7	2	CARDINAL
iajs-2429	145	8	𝐻 ℤ 𝑀	ORG
iajs-2429	145	9	𝑀 ℤ	ORG
iajs-2429	145	10	5	CARDINAL
iajs-2429	146	1	10	CARDINAL
iajs-2429	146	2	⊆	CARDINAL
iajs-2429	146	3	⊆	CARDINAL
iajs-2429	146	4	𝑀 ℤ	ORG
iajs-2429	146	5	ℤ-module	ORG
iajs-2429	147	1	𝑁.	ORG
iajs-2429	148	1	11	CARDINAL
iajs-2429	148	2	10	CARDINAL
iajs-2429	148	3	ℤ-module	ORG
iajs-2429	148	4	85	CARDINAL
iajs-2429	148	5	ibn al-haitham jour	PERSON
iajs-2429	150	1	sci	ORG
iajs-2429	151	1	33	CARDINAL
iajs-2429	151	2	2	CARDINAL
iajs-2429	151	3	2020	DATE
iajs-2429	151	4	2.4	DATE
iajs-2429	151	5	1	CARDINAL
iajs-2429	151	6	2	CARDINAL
iajs-2429	151	7	⊆	CARDINAL
iajs-2429	151	8	𝑁𝑎 ⊆ 𝐾.	PERSON
iajs-2429	152	1	1	CARDINAL
iajs-2429	152	2	2	CARDINAL
iajs-2429	153	1	3	CARDINAL
iajs-2429	153	2	1	CARDINAL
iajs-2429	154	1	𝑁𝑎	PERSON
iajs-2429	154	2	𝑁𝑎 ⊈∩ ∈∧ 𝐻	PERSON
iajs-2429	155	1	𝑁𝑎	PERSON
iajs-2429	156	1	𝑁𝑎 ⊆ 𝐾 ∩	PERSON
iajs-2429	156	2	⊆	CARDINAL
iajs-2429	156	3	⊆	CARDINAL
iajs-2429	156	4	⊆	CARDINAL
iajs-2429	156	5	𝑁𝑎 ⊆ ⋂	ORG
iajs-2429	156	6	𝐻 .then	ORG
iajs-2429	158	1	2.5	CARDINAL
iajs-2429	158	2	semisecond submodule	ORG
iajs-2429	160	1	𝑅-homomorphism	NORP
iajs-2429	161	1	0	CARDINAL
iajs-2429	163	1	2.6	CARDINAL
iajs-2429	164	1	𝑁 𝑁 ⊕ 𝑁	PERSON
iajs-2429	164	2	𝑀 𝑀 ⊕ 𝑀	ORG
iajs-2429	168	1		ORG
iajs-2429	169	1	2.7	CARDINAL
iajs-2429	170	1	2.8	CARDINAL
iajs-2429	170	2	2	CARDINAL
iajs-2429	170	3	semisecond submodule of 𝑅-module	ORG
iajs-2429	170	4	𝑁.	NORP
iajs-2429	171	1	1	CARDINAL
iajs-2429	171	2	2	CARDINAL
iajs-2429	171	3	𝜋 𝑁	PERSON
iajs-2429	172	1	2	CARDINAL
iajs-2429	172	2	1	CARDINAL
iajs-2429	172	3	0	CARDINAL
iajs-2429	173	1	3	CARDINAL
iajs-2429	174	1	semisecond submodules theorem	PERSON
iajs-2429	174	2	3.1	CARDINAL
iajs-2429	174	3	2	CARDINAL
iajs-2429	174	4	𝑀.	NORP
iajs-2429	175	1	1	CARDINAL
iajs-2429	175	2	2	CARDINAL
iajs-2429	175	3	𝑁𝑎 ⊆	PERSON
iajs-2429	175	4	𝑁𝑎 ⊆	PERSON
iajs-2429	176	1	86	CARDINAL
iajs-2429	176	2	ibn al-haitham jour	PERSON
iajs-2429	177	1	sci	ORG
iajs-2429	178	1	33	CARDINAL
iajs-2429	178	2	2) 2020	DATE
iajs-2429	178	3	2	CARDINAL
iajs-2429	178	4	1	CARDINAL
iajs-2429	178	5	𝑁𝑎 ⊆	ORG
iajs-2429	178	6	⊆	CARDINAL
iajs-2429	178	7	𝑁𝑎 ⊆ 𝐾.	PERSON
iajs-2429	178	8	𝑁𝑎 ⊆	PERSON
iajs-2429	179	1	3.2	CARDINAL
iajs-2429	179	2	von neumann	PERSON
iajs-2429	181	1	3.1	CARDINAL
iajs-2429	181	2	3.3	CARDINAL
iajs-2429	182	1	3.1	CARDINAL
iajs-2429	182	2	3.4	CARDINAL
iajs-2429	182	3	ℤ	ORG
iajs-2429	183	1	3.5	CARDINAL
iajs-2429	184	1	⊆	CARDINAL
iajs-2429	186	1	3.1	CARDINAL
iajs-2429	187	1	3.6	CARDINAL
iajs-2429	188	1	3.5	CARDINAL
iajs-2429	189	1	3.7	CARDINAL
iajs-2429	189	2	2	CARDINAL
iajs-2429	189	3	𝑁𝐼	ORG
iajs-2429	189	4	⊆	PRODUCT
iajs-2429	189	5	𝑁𝐼	ORG
iajs-2429	189	6	⊆	CARDINAL
iajs-2429	190	1	1	CARDINAL
iajs-2429	190	2	2	CARDINAL
iajs-2429	192	1	𝑁𝐼	ORG
iajs-2429	192	2	𝑁𝐼	ORG
iajs-2429	192	3	⊆	PRODUCT
iajs-2429	192	4	⊆	CARDINAL
iajs-2429	192	5	3.1	CARDINAL
iajs-2429	192	6	𝑅 so 𝐼 ⊆	ORG
iajs-2429	192	7	𝑁𝐼	ORG
iajs-2429	192	8	⊆	CARDINAL
iajs-2429	193	1	2	CARDINAL
iajs-2429	193	2	1	CARDINAL
iajs-2429	193	3	⊆	CARDINAL
iajs-2429	193	4	𝑁𝑎 ⊆	PERSON
iajs-2429	194	1	3.8	CARDINAL
iajs-2429	194	2	2	CARDINAL
iajs-2429	194	3	𝐼 of 𝑅 and 𝐾	ORG
iajs-2429	194	4	⊆	CARDINAL
iajs-2429	196	1	3.7	CARDINAL
iajs-2429	197	1	3.9	CARDINAL
iajs-2429	197	2	2	CARDINAL
iajs-2429	197	3	𝑁𝐼	ORG
iajs-2429	198	1	1	CARDINAL
iajs-2429	198	2	2	CARDINAL
iajs-2429	199	1	𝑁𝐼	ORG
iajs-2429	199	2	𝑁𝐼	ORG
iajs-2429	199	3	3.7	CARDINAL
iajs-2429	199	4	𝑁𝐼	ORG
iajs-2429	199	5	𝑁𝐼	ORG
iajs-2429	199	6	𝑁𝐼	ORG
iajs-2429	199	7	87	CARDINAL
iajs-2429	199	8	ibn al-haitham jour	PERSON
iajs-2429	201	1	sci	ORG
iajs-2429	202	1	33	CARDINAL
iajs-2429	202	2	2) 2020	DATE
iajs-2429	202	3	2	CARDINAL
iajs-2429	202	4	1	CARDINAL
iajs-2429	203	1	theorem	PERSON
iajs-2429	203	2	3.10	CARDINAL
iajs-2429	205	1	∈	ORG
iajs-2429	205	2	𝑁𝑎 𝑁𝑎.	PERSON
iajs-2429	205	3	3.11	CARDINAL
iajs-2429	207	1	𝑁𝑎 𝑁𝑎	PERSON
iajs-2429	210	1	23	CARDINAL
iajs-2429	210	2	2.5	CARDINAL
iajs-2429	210	3	1 ∈ 𝑅𝑎	QUANTITY
iajs-2429	211	1	1	CARDINAL
iajs-2429	211	2	1	CARDINAL
iajs-2429	211	3	1	CARDINAL
iajs-2429	212	1	⊆	CARDINAL
iajs-2429	214	1	3.12	CARDINAL
iajs-2429	215	1	2	CARDINAL
iajs-2429	215	2	∈	ORG
iajs-2429	216	1	1	CARDINAL
iajs-2429	216	2	2	CARDINAL
iajs-2429	216	3	3.11	CARDINAL
iajs-2429	218	1	1	CARDINAL
iajs-2429	219	1	⊆	CARDINAL
iajs-2429	219	2	⊆	CARDINAL
iajs-2429	220	1	∈	ORG
iajs-2429	221	1	𝑁𝑎 𝑁𝑟	PERSON
iajs-2429	221	2	∈	ORG
iajs-2429	221	3	𝑁𝑎 𝑁𝑟 𝑁𝑟	PERSON
iajs-2429	222	1	2	CARDINAL
iajs-2429	222	2	1	CARDINAL
iajs-2429	222	3	𝑁𝑎 𝑁𝑎𝑎 𝑁𝑟𝑎 𝑁𝑎𝑟 𝑁𝑟𝑟 𝑁𝑟 𝑁𝑎	PERSON
iajs-2429	223	1	4	CARDINAL
iajs-2429	223	2	semisecond submodules	PERSON
iajs-2429	223	3	4.1	CARDINAL
iajs-2429	225	1	𝑅-module	GPE
iajs-2429	226	1	𝑀𝑎 𝑀𝑎	PERSON
iajs-2429	226	2	∈ 𝑀𝑎	ORG
iajs-2429	226	3	∈	ORG
iajs-2429	226	4	4.2	CARDINAL
iajs-2429	226	5	1	CARDINAL
iajs-2429	226	6	𝑅-module	GPE
iajs-2429	227	1	2	CARDINAL
iajs-2429	227	2	semisecond	ORG
iajs-2429	228	1	4.3	CARDINAL
iajs-2429	228	2	von neumann	PERSON
iajs-2429	230	1	von neumann	PERSON
iajs-2429	230	2	4.1	CARDINAL
iajs-2429	230	3	4.4	CARDINAL
iajs-2429	232	1	4.1	CARDINAL
iajs-2429	233	1	88	CARDINAL
iajs-2429	233	2	ibn al-haitham jour	PERSON
iajs-2429	234	1	sci	ORG
iajs-2429	235	1	33	CARDINAL
iajs-2429	235	2	2	CARDINAL
iajs-2429	235	3	2020	DATE
iajs-2429	235	4	4.5	CARDINAL
iajs-2429	235	5	semisecond	ORG
iajs-2429	236	1	4.6	CARDINAL
iajs-2429	236	2	semisecond	GPE
iajs-2429	237	1	theorem	PERSON
iajs-2429	237	2	4.7	CARDINAL
iajs-2429	237	3	the von neumann	PERSON
iajs-2429	237	4	semisecond	ORG
iajs-2429	240	1	4.8	CARDINAL
iajs-2429	240	2	1	CARDINAL
iajs-2429	242	1	von neumann	PERSON
iajs-2429	244	1	2	CARDINAL
iajs-2429	244	2	1	CARDINAL
iajs-2429	244	3	0	CARDINAL
iajs-2429	244	4	𝑅module	GPE
iajs-2429	245	1	von neumann	PERSON
iajs-2429	245	2	0 1	CARDINAL
iajs-2429	245	3	0	CARDINAL
iajs-2429	245	4	3	CARDINAL
iajs-2429	245	5	semisecond modules	ORG
iajs-2429	246	1	commutative von neumann	PERSON
iajs-2429	246	2	𝑅 ⊕ ∈∧ 𝔽	ORG
iajs-2429	246	3	4.9	CARDINAL
iajs-2429	246	4	1	CARDINAL
iajs-2429	246	5	von neumann	PERSON
iajs-2429	247	1	2	CARDINAL
iajs-2429	248	1	3	CARDINAL
iajs-2429	249	1	4	CARDINAL
iajs-2429	249	2	𝑅-module	GPE
iajs-2429	250	1	5	CARDINAL
iajs-2429	250	2	6	CARDINAL
iajs-2429	252	1	1	CARDINAL
iajs-2429	252	2	2	CARDINAL
iajs-2429	252	3	3	CARDINAL
iajs-2429	252	4	4	CARDINAL
iajs-2429	252	5	1	CARDINAL
iajs-2429	252	6	5	CARDINAL
iajs-2429	252	7	4.4	CARDINAL
iajs-2429	252	8	1	CARDINAL
iajs-2429	252	9	6	CARDINAL
iajs-2429	252	10	7	CARDINAL
iajs-2429	253	1	4.10	CARDINAL
iajs-2429	253	2	semisecond ring	ORG
iajs-2429	255	1	𝑅𝑎 𝑅𝑎	PERSON
iajs-2429	255	2	𝑀𝑎	PERSON
iajs-2429	255	3	4.11	CARDINAL
iajs-2429	255	4	𝑅 ℤ	ORG
iajs-2429	255	5	𝑀 0	ORG
iajs-2429	256	1	𝑅module	GPE
iajs-2429	256	2	𝑀𝑎 𝑀𝑎	PERSON
iajs-2429	257	1	𝑅𝑎 𝑅𝑎	FAC
iajs-2429	258	1	4.3	CARDINAL
iajs-2429	259	1	0	CARDINAL
iajs-2429	259	2	89	CARDINAL
iajs-2429	259	3	ibn al-haitham jour	PERSON
iajs-2429	261	1	sci	ORG
iajs-2429	262	1	33	CARDINAL
iajs-2429	262	2	2	CARDINAL
iajs-2429	262	3	0	CARDINAL
iajs-2429	265	1	0	CARDINAL
iajs-2429	265	2	𝑀.	NORP
iajs-2429	265	3	4.12	CARDINAL
iajs-2429	268	1	4.10	CARDINAL
iajs-2429	269	1	4.13	CARDINAL
iajs-2429	269	2	𝐼 ⊆	ORG
iajs-2429	273	1	4.14	CARDINAL
iajs-2429	273	2	1	CARDINAL
iajs-2429	273	3	ℤ ℤ ℚ ≅	PERSON
iajs-2429	274	1	2	CARDINAL
iajs-2429	274	2	ℤ	ORG
iajs-2429	274	3	ℤ-module	ORG
iajs-2429	274	4	ℤ ℤ ℤ ℤ	PERSON
iajs-2429	274	5	𝑅 ℤ	PERSON
iajs-2429	275	1	4.15	CARDINAL
iajs-2429	278	1	4.16	CARDINAL
iajs-2429	280	1	𝐼 𝑀 𝐼𝑀	ORG
iajs-2429	280	2	𝐼 of 𝑅.	ORG
iajs-2429	280	3	13	CARDINAL
iajs-2429	280	4	𝐼 𝐼	ORG
iajs-2429	281	1	4.17	CARDINAL
iajs-2429	281	2	semisecond 𝑅-module	ORG
iajs-2429	283	1	4.15	CARDINAL
iajs-2429	283	2	11	CARDINAL
iajs-2429	285	1	4.18	CARDINAL
iajs-2429	286	1	𝑀.	NORP
iajs-2429	288	1	𝑁𝐼 𝑁𝐼	ORG
iajs-2429	289	1	theorem	PERSON
iajs-2429	289	2	4.19	CARDINAL
iajs-2429	291	1	𝑁𝐼	ORG
iajs-2429	291	2	𝑁𝐼	ORG
iajs-2429	293	1	4.20	CARDINAL
iajs-2429	293	2	𝐼	ORG
iajs-2429	295	1	𝐼𝐽	PERSON
iajs-2429	295	2	𝐼𝐽	ORG
iajs-2429	295	3	𝐽of 𝑅	PERSON
iajs-2429	295	4	𝐼 𝐼	PERSON
iajs-2429	296	1	4.21	CARDINAL
iajs-2429	296	2	semisecond	ORG
iajs-2429	297	1	90	CARDINAL
iajs-2429	297	2	ibn al-haitham jour	PERSON
iajs-2429	298	1	sci	ORG
iajs-2429	299	1	33	CARDINAL
iajs-2429	299	2	2	CARDINAL
iajs-2429	299	3	2020	DATE
iajs-2429	300	1	𝑁𝐼 𝑁 ∩	PERSON
iajs-2429	300	2	𝑁𝐼	ORG
iajs-2429	301	1	2	CARDINAL
iajs-2429	302	1	4.22	CARDINAL
iajs-2429	302	2	second	ORDINAL
iajs-2429	304	1	second	ORDINAL
iajs-2429	304	2	𝑁 𝐻 𝑎 𝑁𝑎 𝐻𝑎 𝑁𝑎 𝐻𝑎 𝑁 𝐻	PERSON
iajs-2429	304	3	𝑁 𝐻 𝑎 𝑁𝑎 𝐻𝑎 0	WORK_OF_ART
iajs-2429	305	1	𝑁 𝐻 𝑎 𝑁𝑎 𝐻𝑎 0	WORK_OF_ART
iajs-2429	305	2	𝑁 𝐻 𝑎 𝑁 𝐻	PERSON
iajs-2429	306	1	4.23	CARDINAL
iajs-2429	306	2	second	ORDINAL
iajs-2429	306	3	second	ORDINAL
iajs-2429	307	1	2	CARDINAL
iajs-2429	307	2	ℤ	ORG
iajs-2429	307	3	3	CARDINAL
iajs-2429	307	4	second	ORDINAL
iajs-2429	307	5	ℤ	ORG
iajs-2429	307	6	ℤ-module	ORG
iajs-2429	307	7	ℤ	ORG
iajs-2429	307	8	2	CARDINAL
iajs-2429	308	1	3	CARDINAL
iajs-2429	308	2	second	ORDINAL
iajs-2429	309	1	4.24	CARDINAL
iajs-2429	309	2	every semisecond submodule	ORG
iajs-2429	309	3	second	ORDINAL
iajs-2429	311	1	𝑁𝑎 𝑁𝑎	PERSON
iajs-2429	312	1	0	CARDINAL
iajs-2429	312	2	𝑁 𝑁𝑎	PERSON
iajs-2429	312	3	𝑁𝑎 0	PERSON
iajs-2429	313	1	4.25	CARDINAL
iajs-2429	313	2	every semisecond submodule of primary	ORG
iajs-2429	315	1	4.24	CARDINAL
iajs-2429	316	1	5	CARDINAL
iajs-2429	317	1	𝑺-semisecond	GPE
iajs-2429	317	2	5.1	CARDINAL
iajs-2429	317	3	𝑅-module 𝑀	NORP
iajs-2429	317	4	𝑆-semisecond	LOC
iajs-2429	317	5	5.2	CARDINAL
iajs-2429	317	6	1	CARDINAL
iajs-2429	318	1	2	CARDINAL
iajs-2429	319	1	𝑓 𝑀 𝑓 𝑀	ORG
iajs-2429	320	1	1	CARDINAL
iajs-2429	320	2	2	CARDINAL
iajs-2429	320	3	𝑆-semisecond 𝑅-module	LOC
iajs-2429	320	4	𝑀 0	ORG
iajs-2429	321	1	𝑓 𝑀 ⊆	ORG
iajs-2429	323	1	2	CARDINAL
iajs-2429	323	2	1	CARDINAL
iajs-2429	324	1	5.3	CARDINAL
iajs-2429	326	1	𝐼𝐼𝑀	ORG
iajs-2429	326	2	𝐼 𝑀 ⊆	ORG
iajs-2429	326	3	3.6	CARDINAL
iajs-2429	326	4	𝐼𝑀	ORG
iajs-2429	326	5	5.4	CARDINAL
iajs-2429	327	1	5.5	CARDINAL
iajs-2429	327	2	1	CARDINAL
iajs-2429	329	1	𝑀 0	ORG
iajs-2429	330	1	𝑀𝑎	PERSON
iajs-2429	330	2	⊆	CARDINAL
iajs-2429	330	3	𝑀.	NORP
iajs-2429	330	4	𝑀𝑎	PERSON
iajs-2429	331	1	2	CARDINAL
iajs-2429	331	2	1	CARDINAL
iajs-2429	332	1	𝑀 ℤ ⊕ ℤ	ORG
iajs-2429	332	2	ℤmodule	ORG
iajs-2429	332	3	91	CARDINAL
iajs-2429	332	4	ibn al-haitham jour	PERSON
iajs-2429	334	1	sci	ORG
iajs-2429	335	1	33	CARDINAL
iajs-2429	335	2	2) 2020	DATE
iajs-2429	335	3	3	CARDINAL
iajs-2429	335	4	⊕ ℤ	PERSON
iajs-2429	335	5	ℤ	ORG
iajs-2429	335	6	ℤ	ORG
iajs-2429	335	7	ℤ ⊕ ℤ ≅	ORG
iajs-2429	335	8	⊕ ℤ	PERSON
iajs-2429	335	9	∈ ℤ	ORG
iajs-2429	336	1	ℤ-module	ORG
iajs-2429	337	1	4	CARDINAL
iajs-2429	337	2	ℤ-module	ORG
iajs-2429	337	3	𝑀 ⊕ 𝑀	ORG
iajs-2429	339	1	ℤ-module	ORG
iajs-2429	339	2	𝑀 ⊕ 𝑀	ORG
iajs-2429	339	3	an 𝑆-semisecond ℤ-module	ORG
iajs-2429	340	1	𝑀 ⊕ 𝑀 → 𝑀 ⊕ 𝑀	ORG
iajs-2429	340	2	𝑀 ⊕ 𝑀	ORG
iajs-2429	340	3	𝑀2 ⊕	FAC
iajs-2429	340	4	𝑀 ⊕ 𝑀	ORG
iajs-2429	341	1	5	CARDINAL
iajs-2429	341	2	1	CARDINAL
iajs-2429	341	3	ℤ ⊕ ℤ	ORG
iajs-2429	341	4	ℤ ⊕ ℤ	ORG
iajs-2429	341	5	2	CARDINAL
iajs-2429	342	1	𝑆	ORG
iajs-2429	342	2	4.10	CARDINAL
iajs-2429	343	1	6	CARDINAL
iajs-2429	344	1	ℤ ⊕ ℤ	ORG
iajs-2429	344	2	ℤ ⊕ ℤ	ORG
iajs-2429	344	3	𝑆-semisecond	LOC
iajs-2429	344	4	7	CARDINAL
iajs-2429	344	5	𝑆-weakly	GPE
iajs-2429	344	6	second	ORDINAL
iajs-2429	344	7	𝑆-semisecond	LOC
iajs-2429	345	1	ℤ	ORG
iajs-2429	345	2	ℤ-module	ORG
iajs-2429	345	3	ℤ	ORG
iajs-2429	345	4	semisecond	ORG
iajs-2429	345	5	second	ORDINAL
iajs-2429	345	6	𝑆weakly	LANGUAGE
iajs-2429	346	1	6	CARDINAL
iajs-2429	346	2	𝑀 ℚ ⊕ ℤ	PERSON
iajs-2429	346	3	ℤ-module	ORG
iajs-2429	347	1	𝑆 𝐸𝑛𝑑ℤ	ORG
iajs-2429	347	2	ℚ ⊕ ℤ	PERSON
iajs-2429	347	3	ℚ 𝐻𝑜𝑚ℤ ℤ	PERSON
iajs-2429	347	4	ℚ 𝐻𝑜𝑚ℤ ℚ	PERSON
iajs-2429	348	1	ℤ	ORG
iajs-2429	348	2	von neumann	PERSON
iajs-2429	348	3	4.10	CARDINAL
iajs-2429	348	4	ℚ ⊕ ℤ	PERSON
iajs-2429	348	5	ℚ ⊕ ℤ	PERSON
iajs-2429	348	6	ℤ-module	ORG
iajs-2429	349	1	ℚ ⊕ ℤ	PERSON
iajs-2429	349	2	𝑆-weakly	GPE
iajs-2429	349	3	second	ORDINAL
iajs-2429	349	4	ℤ-module	ORG
iajs-2429	349	5	1	CARDINAL
iajs-2429	350	1	0 ⊕ ℤ	ORG
iajs-2429	350	2	𝑀 𝑓𝑔 𝑀 1	ORG
iajs-2429	350	3	0	CARDINAL
iajs-2429	350	4		GPE
iajs-2429	350	5	∈	ORG
iajs-2429	351	1	𝑀 ℚ ⊕ 0	PERSON
iajs-2429	352	1	9	CARDINAL
iajs-2429	352	2	coquasi	PERSON
iajs-2429	353	1	𝑆-second	ORG
iajs-2429	354	1	𝑆-weakly	GPE
iajs-2429	354	2	second	ORDINAL
iajs-2429	356	1	5.6	CARDINAL
iajs-2429	358	1	𝑀 𝑀𝑎	ORG
iajs-2429	358	2	𝑀𝑎	PERSON
iajs-2429	358	3	⊆	CARDINAL
iajs-2429	359	1	5.7	CARDINAL
iajs-2429	359	2	𝑆	ORG
iajs-2429	360	1	𝑆module	ORG
iajs-2429	361	1	4.1	CARDINAL
iajs-2429	362	1	5.8	CARDINAL
iajs-2429	362	2	92	CARDINAL
iajs-2429	362	3	ibn al-haitham jour	PERSON
iajs-2429	364	1	sci	ORG
iajs-2429	365	1	33	CARDINAL
iajs-2429	365	2	2	CARDINAL
iajs-2429	365	3	2020	DATE
iajs-2429	366	1	16	CARDINAL
iajs-2429	367	1	von neumann	PERSON
iajs-2429	367	2	5.7	CARDINAL
iajs-2429	368	1	5.9	CARDINAL
iajs-2429	368	2	5.7	CARDINAL
iajs-2429	368	3	5.8	CARDINAL
iajs-2429	368	4	𝑀 ℤ ⊕ ℤ	PERSON
iajs-2429	368	5	ℤ-module	ORG
iajs-2429	369	1	𝑆 𝐸𝑛𝑑ℤ	PERSON
iajs-2429	369	2	⊕ ℤ	PERSON
iajs-2429	369	3	ℤ	ORG
iajs-2429	369	4	ℤ	ORG
iajs-2429	369	5	von neumann	PERSON
iajs-2429	369	6	𝑀𝑎𝑡 ℤ	PERSON
iajs-2429	370	1	ℤ ⊕ ℤ ≅	ORG
iajs-2429	370	2	⊕ ℤ	PERSON
iajs-2429	370	3	∈ ℤ	ORG
iajs-2429	371	1	ℤ-module	ORG
iajs-2429	371	2	5.10	CARDINAL
iajs-2429	371	3	𝑆semisecond	LOC
iajs-2429	372	1	𝑀 𝑁 ⊕	PERSON
iajs-2429	372	2	𝑀 𝑓 𝑁 ⊆	ORG
iajs-2429	372	3	⊆	CARDINAL
iajs-2429	373	1	5.11	CARDINAL
iajs-2429	373	2	1	CARDINAL
iajs-2429	374	1	2	CARDINAL
iajs-2429	375	1	3.1	CARDINAL
iajs-2429	375	2	5.12	CARDINAL
iajs-2429	376	1	5.11	CARDINAL
iajs-2429	376	2	5.13	CARDINAL
iajs-2429	376	3	ℤ	ORG
iajs-2429	377	1	5.14	CARDINAL
iajs-2429	379	1	3.5	CARDINAL
iajs-2429	380	1	5.15	CARDINAL
iajs-2429	381	1	5.14	CARDINAL
iajs-2429	382	1	5.16	DATE
iajs-2429	382	2	1	CARDINAL
iajs-2429	383	1	2	CARDINAL
iajs-2429	384	1	𝐼 𝑀 ⊆ 𝐾	ORG
iajs-2429	384	2	⊆	CARDINAL
iajs-2429	385	1	3.7	CARDINAL
iajs-2429	386	1	5.17	CARDINAL
iajs-2429	386	2	1	CARDINAL
iajs-2429	387	1	2	CARDINAL
iajs-2429	388	1	⊆	CARDINAL
iajs-2429	390	1	5.16	CARDINAL
iajs-2429	390	2	5.18	CARDINAL
iajs-2429	390	3	93	CARDINAL
iajs-2429	390	4	ibn al-haitham jour	PERSON
iajs-2429	392	1	sci	ORG
iajs-2429	393	1	33	CARDINAL
iajs-2429	393	2	2) 2020	DATE
iajs-2429	393	3	1	CARDINAL
iajs-2429	394	1	2	CARDINAL
iajs-2429	396	1	5.10	CARDINAL
iajs-2429	396	2	5.2	CARDINAL
iajs-2429	397	1	6	CARDINAL
iajs-2429	397	2	semisecond submodules	ORG
iajs-2429	398	1	semisecond	ORG
iajs-2429	398	2	semisecond	ORG
iajs-2429	400	1	1	CARDINAL
iajs-2429	400	2	yassemi	PERSON
iajs-2429	400	3	s.	PERSON
iajs-2429	403	1	brno).2001	ORG
iajs-2429	403	2	37	DATE
iajs-2429	403	3	273	CARDINAL
iajs-2429	403	4	278	CARDINAL
iajs-2429	404	1	2	CARDINAL
iajs-2429	404	2	ansari-toroghy	PERSON
iajs-2429	405	1	39	DATE
iajs-2429	405	2	7	CARDINAL
iajs-2429	405	3	2396	CARDINAL
iajs-2429	406	1	3	CARDINAL
iajs-2429	406	2	saadi	PERSON
iajs-2429	406	3	z.; ahmed	PERSON
iajs-2429	406	4	second	ORDINAL
iajs-2429	407	1	iraqi	NORP
iajs-2429	407	2	1791-1801	DATE
iajs-2429	408	1	4	CARDINAL
iajs-2429	408	2	m.; koohi	PERSON
iajs-2429	408	3	vietnam	GPE
iajs-2429	408	4	j. math.2004	PERSON
iajs-2429	408	5	32	DATE
iajs-2429	408	6	2	DATE
iajs-2429	408	7	185	CARDINAL
iajs-2429	408	8	195	CARDINAL
iajs-2429	408	9	5	CARDINAL
iajs-2429	409	1	ahmed	PERSON
iajs-2429	409	2	saadi	GPE
iajs-2429	409	3	z.	PERSON
iajs-2429	411	1	al-qadisiyah	PERSON
iajs-2429	411	2	11	DATE
iajs-2429	411	3	3	DATE
iajs-2429	411	4	50	DATE
iajs-2429	411	5	6	CARDINAL
iajs-2429	411	6	baziar	PERSON
iajs-2429	411	7	m.; behboodi	PERSON
iajs-2429	411	8	m. classical primary submodules	ORG
iajs-2429	411	9	8	CARDINAL
iajs-2429	411	10	3	DATE
iajs-2429	411	11	351	CARDINAL
iajs-2429	412	1	7	CARDINAL
iajs-2429	412	2	wisbauer	PERSON
iajs-2429	413	1	philadelphia	GPE
iajs-2429	413	2	gordon	PERSON
iajs-2429	413	3	1991	DATE
iajs-2429	414	1	8. yaseen	TIME
iajs-2429	414	2	s.m.	PERSON
iajs-2429	414	3	coquasi	PERSON
iajs-2429	415	1	ph.d thesis	ORG
iajs-2429	415	2	university of baghdad	ORG
iajs-2429	415	3	baghdad	GPE
iajs-2429	415	4	iraq	GPE
iajs-2429	415	5	2003	DATE
iajs-2429	416	1	9	CARDINAL
iajs-2429	416	2	j. prime submodules	ORG
iajs-2429	417	1	j. reine angew	PERSON
iajs-2429	418	1	298	CARDINAL
iajs-2429	418	2	156–181	CARDINAL
iajs-2429	419	1	10	CARDINAL
iajs-2429	420	1	larsen	PERSON
iajs-2429	421	1	m.d.	PERSON
iajs-2429	421	2	mccarthy	PERSON
iajs-2429	421	3	p.j	GPE
iajs-2429	421	4	press1971	PERSON
iajs-2429	422	1	11	DATE
iajs-2429	423	1	tsutsui	ORG
iajs-2429	424	1	24	CARDINAL
iajs-2429	424	2	2981–2989	CARDINAL
iajs-2429	425	1	12	CARDINAL
iajs-2429	426	1	shireen ouda.s-prime	PERSON
iajs-2429	428	1	university of baghdad	ORG
iajs-2429	428	2	baghdad	GPE
iajs-2429	428	3	iraq	GPE
iajs-2429	428	4	2010	DATE
iajs-2429	429	1	13	CARDINAL
iajs-2429	430	1	el-bast	ORG
iajs-2429	430	2	z.a.	GPE
iajs-2429	430	3	smith	GPE
iajs-2429	430	4	6	CARDINAL
iajs-2429	430	5	755	CARDINAL
iajs-2429	431	1	14	DATE
iajs-2429	432	1	shihab	PERSON
iajs-2429	432	2	b.n.	PERSON
iajs-2429	433	1	ph.d	ORG
iajs-2429	434	1	university of baghdad	ORG
iajs-2429	434	2	baghdad	GPE
iajs-2429	434	3	iraq	GPE
iajs-2429	434	4	2004	DATE
iajs-2429	435	1	15	CARDINAL
iajs-2429	435	2	yaseen	PERSON
iajs-2429	435	3	s.m	PERSON
iajs-2429	438	1	university of baghdad	ORG
iajs-2429	438	2	baghdad	GPE
iajs-2429	438	3	iraq	GPE
iajs-2429	439	1	1993	DATE
iajs-2429	440	1	16	CARDINAL
iajs-2429	441	1	lee	PERSON
iajs-2429	441	2	s.t.	PERSON
iajs-2429	441	3	roman	GPE
iajs-2429	441	4	c.s.	GPE
iajs-2429	442	1	39	DATE
iajs-2429	442	2	4036-4058	CARDINAL
iajs-2429	443	1	17	CARDINAL
iajs-2429	443	2	ghaleb ahmed	PERSON
iajs-2429	443	3	zainab saadi	PERSON
iajs-2429	444	1	second	ORDINAL
iajs-2429	445	1	18	CARDINAL
iajs-2429	445	2	ansari-toroghy	PERSON
iajs-2429	446	1	second	ORDINAL
iajs-2429	446	2	arxiv:1609.08054v1	GPE
iajs-2429	446	3	2016	DATE
iajs-2429	447	1	94	CARDINAL
iajs-2429	447	2	ibn al-haitham jour	PERSON
iajs-2429	448	1	sci	ORG
iajs-2429	449	1	33	CARDINAL
iajs-2429	449	2	2	CARDINAL
iajs-2429	449	3	19	CARDINAL
iajs-2429	449	4	ali	PERSON
iajs-2429	449	5	s. mijbass	PERSON
iajs-2429	451	1	university of baghdad	ORG
iajs-2429	451	2	baghdad	GPE
iajs-2429	451	3	iraq	GPE
iajs-2429	451	4	1992	DATE
iajs-2429	452	1	20	CARDINAL
iajs-2429	453	1	al-mothafar	PERSON
iajs-2429	453	2	n.s.	GPE
iajs-2429	453	3	humod	ORG
iajs-2429	453	4	g.a. 2	PERSON
iajs-2429	454	1	ibn al-haitham	PERSON
iajs-2429	454	2	28	CARDINAL
iajs-2429	454	3	3	CARDINAL
iajs-2429	454	4	235	CARDINAL
iajs-2429	455	1	21	CARDINAL
iajs-2429	456	1	nuhad	GPE
iajs-2429	456	2	s. al-mothafar	PERSON
iajs-2429	456	3	g.a. 2	PERSON
iajs-2429	456	4	ibn al-haitham	PERSON
iajs-2429	456	5	28	CARDINAL
iajs-2429	456	6	3	CARDINAL
iajs-2429	456	7	235	CARDINAL
iajs-2429	457	1	22	CARDINAL
iajs-2429	458	1	ahmed	PERSON
iajs-2429	458	2	g. coclosed	PERSON
iajs-2429	459	1	ibn al-haitham	PERSON
iajs-2429	459	2	452	CARDINAL
iajs-2429	459	3	23	CARDINAL
iajs-2429	460	1	atiyah	GPE
iajs-2429	460	2	m.f.	GPE
iajs-2429	460	3	macdonald	PERSON
iajs-2429	460	4	i.g.	GPE
iajs-2429	461	1	ma	PERSON
iajs-2429	461	2	1969	DATE