id	sid	eid	entity	type
ejpam-3229	1	1	european journal	ORG
ejpam-3229	2	1	11	CARDINAL
ejpam-3229	2	2	2, 2018	DATE
ejpam-3229	2	3	431	CARDINAL
ejpam-3229	2	4	new york	GPE
ejpam-3229	2	5	javed hussain1,∗	PERSON
ejpam-3229	2	6	muhammad shabir2 1	PERSON
ejpam-3229	2	7	sukkur iba university	ORG
ejpam-3229	2	8	sukkur	GPE
ejpam-3229	2	9	pakistan 2	ORG
ejpam-3229	2	10	quaid-i-azam university	PERSON
ejpam-3229	2	11	islamabad	GPE
ejpam-3229	2	12	pakistan	GPE
ejpam-3229	3	1	wherem	PERSON
ejpam-3229	5	1	2010	DATE
ejpam-3229	5	2	20m30, 08a60	CARDINAL
ejpam-3229	5	3	08b30 key words	ORG
ejpam-3229	6	1	1	CARDINAL
ejpam-3229	7	1	a. k. suschkewitsch	PERSON
ejpam-3229	7	2	russian	NORP
ejpam-3229	7	3	1992	DATE
ejpam-3229	8	1	abelian	NORP
ejpam-3229	9	1	first	ORDINAL
ejpam-3229	9	2	two	CARDINAL
ejpam-3229	9	3	h. j. hoehnke	PERSON
ejpam-3229	13	1	11	CARDINAL
ejpam-3229	13	2	c. s. johnson & f. mc	PERSON
ejpam-3229	13	3	morris	PERSON
ejpam-3229	14	1	3	CARDINAL
ejpam-3229	14	2	b.m schein	GPE
ejpam-3229	15	1	10	CARDINAL
ejpam-3229	16	1	monoids	NORP
ejpam-3229	17	1	t .g mustfin	ORG
ejpam-3229	17	2	j. ∗corresponding	ORG
ejpam-3229	19	1	j. hussain	PERSON
ejpam-3229	19	2	mshabirbhatti@yahoo.co.uk (m. shabir	ORG
ejpam-3229	20	1	2018	DATE
ejpam-3229	21	1	j. hussain	PERSON
ejpam-3229	22	1	j. pure	PERSON
ejpam-3229	22	2	11	CARDINAL
ejpam-3229	22	3	2	CARDINAL
ejpam-3229	22	4	2018	DATE
ejpam-3229	22	5	431	CARDINAL
ejpam-3229	22	6	443 432	CARDINAL
ejpam-3229	22	7	v. gould	PERSON
ejpam-3229	23	1	first	ORDINAL
ejpam-3229	23	2	j. luedeman	PERSON
ejpam-3229	24	1	8	CARDINAL
ejpam-3229	24	2	f. mc	PERSON
ejpam-3229	24	3	morris	PERSON
ejpam-3229	24	4	s. k. sim	PERSON
ejpam-3229	25	1	13	CARDINAL
ejpam-3229	26	1	11	CARDINAL
ejpam-3229	27	1	m. shabir	PERSON
ejpam-3229	27	2	j. ahsan	PERSON
ejpam-3229	27	3	2	CARDINAL
ejpam-3229	29	1	theorems 9,	ORG
ejpam-3229	29	2	10	DATE
ejpam-3229	29	3	11	DATE
ejpam-3229	29	4	14	DATE
ejpam-3229	29	5	4	CARDINAL
ejpam-3229	30	1	wherem	PERSON
ejpam-3229	31	1	4	CARDINAL
ejpam-3229	33	1	first	ORDINAL
ejpam-3229	34	1	section 2	LAW
ejpam-3229	36	1	section 2	LAW
ejpam-3229	38	1	section 4	LAW
ejpam-3229	39	1	2.	CARDINAL
ejpam-3229	40	1	γ ∈ e. definition 1.	ORG
ejpam-3229	41	1	m. lemma 1	PERSON
ejpam-3229	42	1	m.	PERSON
ejpam-3229	43	1	1	CARDINAL
ejpam-3229	45	1	1)⇒ 2	DATE
ejpam-3229	46	1	2)⇒1	CARDINAL
ejpam-3229	46	2	k = kerα	PERSON
ejpam-3229	47	1	φ	PERSON
ejpam-3229	47	2	m)→ m/k	ORG
ejpam-3229	49	1	m]k	ORG
ejpam-3229	50	1	φ	ORG
ejpam-3229	51	1	lemma	ORG
ejpam-3229	51	2	1	CARDINAL
ejpam-3229	51	3	m. j. hussain	PERSON
ejpam-3229	52	1	j. pure	PERSON
ejpam-3229	52	2	11	CARDINAL
ejpam-3229	52	3	2	CARDINAL
ejpam-3229	52	4	2018	DATE
ejpam-3229	52	5	431	CARDINAL
ejpam-3229	52	6	443 433	CARDINAL
ejpam-3229	52	7	2	CARDINAL
ejpam-3229	55	1	3	CARDINAL
ejpam-3229	57	1	4	CARDINAL
ejpam-3229	59	1	1	CARDINAL
ejpam-3229	60	1	∈	ORG
ejpam-3229	60	2	2	CARDINAL
ejpam-3229	60	3	3	CARDINAL
ejpam-3229	64	1	1	CARDINAL
ejpam-3229	64	2	m)→	ORG
ejpam-3229	69	1	jf = gi	PERSON
ejpam-3229	70	1	⊆	CARDINAL
ejpam-3229	71	1	φ	PERSON
ejpam-3229	71	2	φ(uβ	ORG
ejpam-3229	73	1	φ	ORG
ejpam-3229	74	1	φ	ORG
ejpam-3229	74	2	∈	ORG
ejpam-3229	74	3	6=	CARDINAL
ejpam-3229	74	4	∈	ORG
ejpam-3229	74	5	ugα(m	ORG
ejpam-3229	74	6	6=	CARDINAL
ejpam-3229	74	7	6=	CARDINAL
ejpam-3229	76	1	∈	ORG
ejpam-3229	76	2	φ(γ(uβ	WORK_OF_ART
ejpam-3229	77	1	γ ∈ e.	ORG
ejpam-3229	77	2	φ	PERSON
ejpam-3229	78	1	φ	ORG
ejpam-3229	78	2	∈	ORG
ejpam-3229	78	3	α	PERSON
ejpam-3229	78	4	→m	ORG
ejpam-3229	78	5	φ(γβ	NORP
ejpam-3229	81	1	φ	PERSON
ejpam-3229	82	1	2	CARDINAL
ejpam-3229	82	2	1	CARDINAL
ejpam-3229	84	1	φ	PERSON
ejpam-3229	84	2	φ(uβ	ORG
ejpam-3229	85	1	1	CARDINAL
ejpam-3229	87	1	φ	ORG
ejpam-3229	87	2	∈	ORG
ejpam-3229	87	3	6=	CARDINAL
ejpam-3229	87	4	6=	CARDINAL
ejpam-3229	88	1	gα(m	ORG
ejpam-3229	89	1	∈	ORG
ejpam-3229	89	2	ugα(m	ORG
ejpam-3229	89	3	6=	CARDINAL
ejpam-3229	90	1	6=	CARDINAL
ejpam-3229	90	2	6=	CARDINAL
ejpam-3229	91	1	3	CARDINAL
ejpam-3229	91	2	1	CARDINAL
ejpam-3229	91	3	2	CARDINAL
ejpam-3229	93	1	j. hussain	PERSON
ejpam-3229	94	1	j. pure	PERSON
ejpam-3229	94	2	11	CARDINAL
ejpam-3229	94	3	2	CARDINAL
ejpam-3229	94	4	2018	DATE
ejpam-3229	94	5	431	CARDINAL
ejpam-3229	94	6	443 434	CARDINAL
ejpam-3229	94	7	1	CARDINAL
ejpam-3229	95	1	∈	ORG
ejpam-3229	95	2	1	CARDINAL
ejpam-3229	95	3	2	CARDINAL
ejpam-3229	96	1	3	CARDINAL
ejpam-3229	96	2	2	CARDINAL
ejpam-3229	97	1	∈	ORG
ejpam-3229	98	1	1	CARDINAL
ejpam-3229	99	1	2	CARDINAL
ejpam-3229	100	1	∈	ORG
ejpam-3229	100	2	kerα ⊆	PRODUCT
ejpam-3229	100	3	3	CARDINAL
ejpam-3229	100	4	kerβ ⊆	ORG
ejpam-3229	100	5	kerα	PRODUCT
ejpam-3229	100	6	⊆	CARDINAL
ejpam-3229	102	1	1)⇒2	CARDINAL
ejpam-3229	102	2	⊆	PRODUCT
ejpam-3229	104	1	kerα	ORG
ejpam-3229	104	2	⊆	PRODUCT
ejpam-3229	104	3	∈	ORG
ejpam-3229	105	1	⊆	PRODUCT
ejpam-3229	105	2	kerβ	PRODUCT
ejpam-3229	109	1	α′	FAC
ejpam-3229	109	2	φ	PERSON
ejpam-3229	111	1	∈	ORG
ejpam-3229	114	1	∈	ORG
ejpam-3229	115	1	2)⇒3	TIME
ejpam-3229	115	2	kerβ ⊆	ORG
ejpam-3229	115	3	kerα	PRODUCT
ejpam-3229	116	1	⊆	CARDINAL
ejpam-3229	117	1	⊆	PRODUCT
ejpam-3229	117	2	kerβ ⊆	ORG
ejpam-3229	118	1	u ∈ anne(kerβ	ORG
ejpam-3229	119	1	⊆	CARDINAL
ejpam-3229	120	1	3)⇒1	CARDINAL
ejpam-3229	120	2	m)→m	ORG
ejpam-3229	122	1	kerα ⊆ ker	PRODUCT
ejpam-3229	122	2	φα′.	ORG
ejpam-3229	123	1	∈	ORG
ejpam-3229	123	2	⊆	MONEY
ejpam-3229	124	1	annls(a	PERSON
ejpam-3229	124	2	2	CARDINAL
ejpam-3229	124	3	2	CARDINAL
ejpam-3229	126	1	annls(a	PERSON
ejpam-3229	128	1	⊆	CARDINAL
ejpam-3229	128	2	⊆	CARDINAL
ejpam-3229	131	1	2	CARDINAL
ejpam-3229	132	1	two	CARDINAL
ejpam-3229	132	2	∈	ORG
ejpam-3229	132	3	⊆	PRODUCT
ejpam-3229	133	1	j. hussain	PERSON
ejpam-3229	134	1	j. pure	PERSON
ejpam-3229	134	2	11	CARDINAL
ejpam-3229	134	3	2	CARDINAL
ejpam-3229	134	4	2018	DATE
ejpam-3229	134	5	431	CARDINAL
ejpam-3229	135	1	kerα	PERSON
ejpam-3229	135	2	⊆	PRODUCT
ejpam-3229	136	1	∈	ORG
ejpam-3229	137	1	⊆	PRODUCT
ejpam-3229	138	1	φ	PERSON
ejpam-3229	140	1	φ	PERSON
ejpam-3229	141	1	φ	PERSON
ejpam-3229	141	2	γ extendsφ	GPE
ejpam-3229	145	1	∈	ORG
ejpam-3229	145	2	∈ homs	PERSON
ejpam-3229	147	1	kerα ⊆	ORG
ejpam-3229	147	2	keruα.	GPE
ejpam-3229	148	1	kerα	PRODUCT
ejpam-3229	148	2	⊆	PRODUCT
ejpam-3229	149	1	= k.	PERSON
ejpam-3229	150	1	∈	ORG
ejpam-3229	151	1	⊆	CARDINAL
ejpam-3229	153	1	∈	ORG
ejpam-3229	155	1	3	CARDINAL
ejpam-3229	156	1	m. proof.	PERSON
ejpam-3229	158	1	γ ∈	ORG
ejpam-3229	159	1	3	CARDINAL
ejpam-3229	160	1	m. proof	PERSON
ejpam-3229	161	1	γ ∈ e.	ORG
ejpam-3229	161	2	α(x	CARDINAL
ejpam-3229	164	1	φ	PERSON
ejpam-3229	165	1	φ	GPE
ejpam-3229	168	1	4	CARDINAL
ejpam-3229	169	1	n = ⊕	PERSON
ejpam-3229	169	2	inj	ORG
ejpam-3229	169	3	nj	ORG
ejpam-3229	170	1	4	CARDINAL
ejpam-3229	170	2	∈	ORG
ejpam-3229	171	1	α	PERSON
ejpam-3229	171	2	m)→ nj	ORG
ejpam-3229	171	3	m)→m	ORG
ejpam-3229	172	1	m→nj	GPE
ejpam-3229	174	1	j. hussain	PERSON
ejpam-3229	175	1	j. pure	PERSON
ejpam-3229	175	2	11	CARDINAL
ejpam-3229	175	3	2	CARDINAL
ejpam-3229	175	4	2018	DATE
ejpam-3229	175	5	431	CARDINAL
ejpam-3229	176	1	m)→ nj	ORG
ejpam-3229	177	1	nj	ORG
ejpam-3229	183	1	γ	GPE
ejpam-3229	183	2	φ	GPE
ejpam-3229	184	1	3	CARDINAL
ejpam-3229	185	1	3	CARDINAL
ejpam-3229	188	1	3.1	CARDINAL
ejpam-3229	189	1	5	CARDINAL
ejpam-3229	190	1	m. lemma 4	PERSON
ejpam-3229	191	1	homs	GPE
ejpam-3229	194	1	∈	ORG
ejpam-3229	195	1	homs	GPE
ejpam-3229	196	1	φ ∈	PERSON
ejpam-3229	198	1	φ	ORG
ejpam-3229	198	2	φ ∈ αhoms	PERSON
ejpam-3229	200	1	homs	GPE
ejpam-3229	203	1	5	CARDINAL
ejpam-3229	204	1	k ∼= n	PERSON
ejpam-3229	207	1	5	CARDINAL
ejpam-3229	208	1	two	CARDINAL
ejpam-3229	208	2	m. j. hussain	PERSON
ejpam-3229	209	1	j. pure	PERSON
ejpam-3229	209	2	11	CARDINAL
ejpam-3229	209	3	2	CARDINAL
ejpam-3229	209	4	2018	DATE
ejpam-3229	209	5	431	CARDINAL
ejpam-3229	212	1	n → β(x	ORG
ejpam-3229	212	2	∈	ORG
ejpam-3229	213	1	φ	PERSON
ejpam-3229	215	1	αφ	PERSON
ejpam-3229	218	1	converse	PERSON
ejpam-3229	218	2	m. theorem 6	PERSON
ejpam-3229	220	1	φ	ORG
ejpam-3229	220	2	φ2 = φ	ORG
ejpam-3229	227	1	α(θi	ORG
ejpam-3229	228	1	φ(n	PERSON
ejpam-3229	229	1	7	CARDINAL
ejpam-3229	229	2	letm	PERSON
ejpam-3229	233	1	∈ e.	PERSON
ejpam-3229	233	2	β(n	CARDINAL
ejpam-3229	234	1	β(n	CARDINAL
ejpam-3229	237	1	φ	PERSON
ejpam-3229	237	2	α	PERSON
ejpam-3229	237	3	= γ.	PERSON
ejpam-3229	240	1	β(n	CARDINAL
ejpam-3229	241	1	φ	PERSON
ejpam-3229	241	2	α	PERSON
ejpam-3229	242	1	= γ.	PERSON
ejpam-3229	243	1	8	CARDINAL
ejpam-3229	244	1	∈	ORG
ejpam-3229	245	1	4	CARDINAL
ejpam-3229	245	2	j. hussain	PERSON
ejpam-3229	246	1	j. pure	PERSON
ejpam-3229	246	2	11	CARDINAL
ejpam-3229	246	3	2	CARDINAL
ejpam-3229	246	4	2018	DATE
ejpam-3229	246	5	431	CARDINAL
ejpam-3229	246	6	443 438	CARDINAL
ejpam-3229	246	7	6	CARDINAL
ejpam-3229	248	1	→m	ORG
ejpam-3229	249	1	9	CARDINAL
ejpam-3229	250	1	two	CARDINAL
ejpam-3229	254	1	sincen	PERSON
ejpam-3229	255	1	∈ e.	PERSON
ejpam-3229	255	2	n ′	ORG
ejpam-3229	256	1	n ′	ORG
ejpam-3229	258	1	φ	PERSON
ejpam-3229	258	2	αφ	PERSON
ejpam-3229	269	1	n ′	ORG
ejpam-3229	270	1	10	CARDINAL
ejpam-3229	272	1	2	CARDINAL
ejpam-3229	273	1	3	CARDINAL
ejpam-3229	275	1	1)⇒2	CARDINAL
ejpam-3229	276	1	φ	PERSON
ejpam-3229	276	2	n → n/ρ	ORG
ejpam-3229	277	1	φ	ORG
ejpam-3229	278	1	φ	ORG
ejpam-3229	279	1	n/ρ	ORG
ejpam-3229	280	1	2)⇒3	CARDINAL
ejpam-3229	283	1	n/ρ	ORG
ejpam-3229	284	1	3)⇒1	CARDINAL
ejpam-3229	286	1	2.1.2	CARDINAL
ejpam-3229	286	2	1	CARDINAL
ejpam-3229	287	1	φ	ORG
ejpam-3229	289	1	k = kerh	PERSON
ejpam-3229	289	2	φ	PERSON
ejpam-3229	292	1	4q	CARDINAL
ejpam-3229	292	2	4q	CARDINAL
ejpam-3229	292	3	m)→	ORG
ejpam-3229	292	4	j. hussain	PERSON
ejpam-3229	293	1	j. pure	PERSON
ejpam-3229	293	2	11	CARDINAL
ejpam-3229	293	3	2	CARDINAL
ejpam-3229	293	4	2018	DATE
ejpam-3229	293	5	431	CARDINAL
ejpam-3229	293	6	443 439	CARDINAL
ejpam-3229	294	1	γ(α	PERSON
ejpam-3229	294	2	γ(α	PERSON
ejpam-3229	295	1	⊆	CARDINAL
ejpam-3229	296	1	4	CARDINAL
ejpam-3229	297	1	s. 1	PERSON
ejpam-3229	298	1	2	CARDINAL
ejpam-3229	299	1	3	CARDINAL
ejpam-3229	300	1	11	CARDINAL
ejpam-3229	304	1	5	CARDINAL
ejpam-3229	305	1	∈	ORG
ejpam-3229	306	1	lemma 1	ORG
ejpam-3229	307	1	kerα	PRODUCT
ejpam-3229	308	1	kerα	PERSON
ejpam-3229	309	1	4	CARDINAL
ejpam-3229	309	2	φ	ORG
ejpam-3229	310	1	⊂m/ρ '	EVENT
ejpam-3229	310	2	φ	PERSON
ejpam-3229	314	1	⊂	GPE
ejpam-3229	314	2	kerα	PRODUCT
ejpam-3229	314	3	β(n	CARDINAL
ejpam-3229	321	1	= φ	PERSON
ejpam-3229	323	1	12	CARDINAL
ejpam-3229	326	1	∈	ORG
ejpam-3229	327	1	m)→ β(e	ORG
ejpam-3229	327	2	e. clearly β(e	PERSON
ejpam-3229	329	1	φ	PERSON
ejpam-3229	332	1	= γ.	PERSON
ejpam-3229	333	1	11	CARDINAL
ejpam-3229	334	1	j. hussain	PERSON
ejpam-3229	335	1	j. pure	PERSON
ejpam-3229	335	2	11	CARDINAL
ejpam-3229	335	3	2	CARDINAL
ejpam-3229	335	4	2018	DATE
ejpam-3229	335	5	431	CARDINAL
ejpam-3229	335	6	443 440	CARDINAL
ejpam-3229	335	7	13	CARDINAL
ejpam-3229	336	1	∈	ORG
ejpam-3229	338	1	β(a	GPE
ejpam-3229	341	1	m)→	ORG
ejpam-3229	343	1	m→ β(a	PERSON
ejpam-3229	344	1	β(a	PERSON
ejpam-3229	345	1	φ	PERSON
ejpam-3229	346	1	= φ	PERSON
ejpam-3229	347	1	α(θi	ORG
ejpam-3229	347	2	αθ)i	GPE
ejpam-3229	347	3	= γ.	PERSON
ejpam-3229	347	4	β(a	PERSON
ejpam-3229	348	1	3.2	CARDINAL
ejpam-3229	349	1	1	CARDINAL
ejpam-3229	350	1	1	CARDINAL
ejpam-3229	351	1	7	CARDINAL
ejpam-3229	353	1	8	DATE
ejpam-3229	354	1	npi	ORG
ejpam-3229	355	1	9	CARDINAL
ejpam-3229	357	1	2	CARDINAL
ejpam-3229	358	1	14	DATE
ejpam-3229	363	1	13	CARDINAL
ejpam-3229	363	2	α(a	ORG
ejpam-3229	364	1	5	CARDINAL
ejpam-3229	366	1	j. hussain	PERSON
ejpam-3229	367	1	j. pure	PERSON
ejpam-3229	367	2	11	CARDINAL
ejpam-3229	367	3	2	CARDINAL
ejpam-3229	367	4	2018	DATE
ejpam-3229	367	5	431	CARDINAL
ejpam-3229	368	1	10	CARDINAL
ejpam-3229	369	1	15	CARDINAL
ejpam-3229	371	1	1	CARDINAL
ejpam-3229	372	1	2	CARDINAL
ejpam-3229	373	1	3	CARDINAL
ejpam-3229	373	2	∈	ORG
ejpam-3229	373	3	⊆	CARDINAL
ejpam-3229	373	4	⊆	CARDINAL
ejpam-3229	375	1	1)⇒2	CARDINAL
ejpam-3229	375	2	lemma 4	ORG
ejpam-3229	375	3	m. 2)⇒3	PERSON
ejpam-3229	375	4	⊆	CARDINAL
ejpam-3229	375	5	⊆	CARDINAL
ejpam-3229	375	6	∈	ORG
ejpam-3229	377	1	⊆	CARDINAL
ejpam-3229	377	2	⊆	CARDINAL
ejpam-3229	377	3	3)⇒1	CARDINAL
ejpam-3229	377	4	φ	PERSON
ejpam-3229	377	5	φ	PERSON
ejpam-3229	377	6	⊆	CARDINAL
ejpam-3229	377	7	⊆	CARDINAL
ejpam-3229	378	1	φ ∈	PERSON
ejpam-3229	378	2	⊆	CARDINAL
ejpam-3229	379	1	16	CARDINAL
ejpam-3229	380	1	∈	ORG
ejpam-3229	380	2	1	CARDINAL
ejpam-3229	380	3	2	CARDINAL
ejpam-3229	381	1	3	CARDINAL
ejpam-3229	383	1	1	CARDINAL
ejpam-3229	383	2	m)→	ORG
ejpam-3229	384	1	sincem	PERSON
ejpam-3229	388	1	g ∈ e.	PERSON
ejpam-3229	388	2	φ	PERSON
ejpam-3229	389	1	φ	ORG
ejpam-3229	390	1	fαu =	PERSON
ejpam-3229	393	1	φ(αv	TIME
ejpam-3229	395	1	φ(αv	TIME
ejpam-3229	397	1	fαu = fαv	PERSON
ejpam-3229	398	1	1-1	CARDINAL
ejpam-3229	399	1	φ	PERSON
ejpam-3229	400	1	2	CARDINAL
ejpam-3229	400	2	φ	PERSON
ejpam-3229	400	3	1	CARDINAL
ejpam-3229	401	1	∈	ORG
ejpam-3229	401	2	∈	ORG
ejpam-3229	401	3	∈	ORG
ejpam-3229	403	1	γ(m	GPE
ejpam-3229	404	1	∈	ORG
ejpam-3229	407	1	m1 = m2	PERSON
ejpam-3229	407	2	m′′1	PERSON
ejpam-3229	408	1	m′′2	WORK_OF_ART
ejpam-3229	414	1	φ	ORG
ejpam-3229	415	1	3	CARDINAL
ejpam-3229	415	2	1	CARDINAL
ejpam-3229	415	3	2	CARDINAL
ejpam-3229	416	1	j. hussain	PERSON
ejpam-3229	417	1	j. pure	PERSON
ejpam-3229	417	2	11	CARDINAL
ejpam-3229	417	3	2	CARDINAL
ejpam-3229	417	4	2018	DATE
ejpam-3229	417	5	431	CARDINAL
ejpam-3229	417	6	443 442	CARDINAL
ejpam-3229	417	7	17	CARDINAL
ejpam-3229	419	1	one	CARDINAL
ejpam-3229	419	2	e. proof	PERSON
ejpam-3229	420	1	φ	PERSON
ejpam-3229	423	1	φ	PERSON
ejpam-3229	424	1	∈	ORG
ejpam-3229	424	2	homs	GPE
ejpam-3229	425	1	homs	PERSON
ejpam-3229	425	2	φ	PERSON
ejpam-3229	432	1	18	CARDINAL
ejpam-3229	433	1	one	CARDINAL
ejpam-3229	433	2	fαu	PERSON
ejpam-3229	437	1	fαu	PERSON
ejpam-3229	437	2	kerα	PERSON
ejpam-3229	440	1	m)→ homs(αe	PERSON
ejpam-3229	440	2	φ(f	GPE
ejpam-3229	441	1	φ	ORG
ejpam-3229	441	2	one	CARDINAL
ejpam-3229	442	1	φ	ORG
ejpam-3229	443	1	∈	ORG
ejpam-3229	443	2	∈	ORG
ejpam-3229	446	1	φ	ORG
ejpam-3229	446	2	1	CARDINAL
ejpam-3229	447	1	∈	ORG
ejpam-3229	447	2	φ(f	GPE
ejpam-3229	448	1	∈	ORG
ejpam-3229	448	2	fαu	PERSON
ejpam-3229	449	1	1-1	DATE
ejpam-3229	451	1	∈	ORG
ejpam-3229	451	2	φ(f	GPE
ejpam-3229	452	1	1-1	CARDINAL
ejpam-3229	453	1	19	CARDINAL
ejpam-3229	455	1	converse	PERSON
ejpam-3229	458	1	γ ∈	ORG
ejpam-3229	458	2	6=	CARDINAL
ejpam-3229	461	1	γ ∈ e.	PERSON
ejpam-3229	461	2	6=	CARDINAL
ejpam-3229	463	1	20	CARDINAL
ejpam-3229	464	1	n = ⊕	PERSON
ejpam-3229	464	2	∈	ORG
ejpam-3229	464	3	443	CARDINAL
ejpam-3229	464	4	1	CARDINAL
ejpam-3229	464	5	j. ahsan	PERSON
ejpam-3229	464	6	l. zhongkui	PERSON
ejpam-3229	464	7	monoids	NORP
ejpam-3229	465	1	2	CARDINAL
ejpam-3229	465	2	j. ahsan	PERSON
ejpam-3229	465	3	m. f. khan	PERSON
ejpam-3229	465	4	m. shabir	PERSON
ejpam-3229	465	5	m. takahashi	PERSON
ejpam-3229	465	6	kobe j. math	PERSON
ejpam-3229	465	7	1991)8:173-192	DATE
ejpam-3229	466	1	3	CARDINAL
ejpam-3229	466	2	c. s. johnson	PERSON
ejpam-3229	466	3	jr.	PERSON
ejpam-3229	467	1	amer	PERSON
ejpam-3229	468	1	385	CARDINAL
ejpam-3229	469	1	4	CARDINAL
ejpam-3229	469	2	fakhruddin s.m.	PERSON
ejpam-3229	470	1	acta sci.	PERSON
ejpam-3229	470	2	1988	DATE
ejpam-3229	470	3	52	DATE
ejpam-3229	470	4	85	CARDINAL
ejpam-3229	471	1	5	CARDINAL
ejpam-3229	471	2	johnson	PERSON
ejpam-3229	471	3	j.r.	GPE
ejpam-3229	471	4	mcmorris	PERSON
ejpam-3229	473	1	amer	PERSON
ejpam-3229	474	1	1972	DATE
ejpam-3229	474	2	32	DATE
ejpam-3229	474	3	371	CARDINAL
ejpam-3229	475	1	6	CARDINAL
ejpam-3229	476	1	j. math	PERSON
ejpam-3229	477	1	oxford	NORP
ejpam-3229	477	2	2	CARDINAL
ejpam-3229	477	3	1977	DATE
ejpam-3229	477	4	285-300	CARDINAL
ejpam-3229	478	1	london	GPE
ejpam-3229	480	1	28(1974	CARDINAL
ejpam-3229	480	2	28	CARDINAL
ejpam-3229	481	1	8	CARDINAL
ejpam-3229	481	2	mcmorris	ORG
ejpam-3229	483	1	univ.	ORG
ejpam-3229	484	1	19 (1978	DATE
ejpam-3229	484	2	27–35	CARDINAL
ejpam-3229	485	1	9	CARDINAL
ejpam-3229	486	1	new york	GPE
ejpam-3229	486	2	1979	DATE
ejpam-3229	487	1	10	CARDINAL
ejpam-3229	488	1	semigroup	ORG
ejpam-3229	488	2	1974	DATE
ejpam-3229	488	3	9	DATE
ejpam-3229	488	4	159	CARDINAL
ejpam-3229	489	1	11	CARDINAL
ejpam-3229	489	2	canad	ORG
ejpam-3229	491	1	bull	PERSON
ejpam-3229	492	1	12	CARDINAL
ejpam-3229	492	2	r. wisbauer	PERSON
ejpam-3229	492	3	gordon	PERSON
ejpam-3229	492	4	philadelphia	GPE
ejpam-3229	492	5	1991	DATE
ejpam-3229	493	1	13	CARDINAL
ejpam-3229	493	2	sanh n. v.	PERSON
ejpam-3229	493	3	shum k. p.	PERSON
ejpam-3229	493	4	dhompongsa s.	PERSON
ejpam-3229	493	5	wongwai s.	PERSON
ejpam-3229	494	1	6(3)(1999),269-276	CARDINAL
ejpam-3229	495	1	14	CARDINAL
ejpam-3229	495	2	v. gould	PERSON
ejpam-3229	496	1	edinburgh	GPE
ejpam-3229	498	1	30	CARDINAL
ejpam-3229	498	2	1987	DATE
ejpam-3229	498	3	187–200	CARDINAL
ejpam-3229	499	1	15	CARDINAL
ejpam-3229	499	2	s. wongwai	PERSON
ejpam-3229	499	3	acta math.univ.comenianae	PERSON
ejpam-3229	499	4	16	CARDINAL
ejpam-3229	499	5	wongwai s.	PERSON
ejpam-3229	499	6	j. 42(2002	PERSON
ejpam-3229	499	7	369	CARDINAL