id	sid	eid	entity	type
ejpam-1224	1	1	7_wang.dvi	ORDINAL
ejpam-1224	1	2	european	NORP
ejpam-1224	2	1	5	CARDINAL
ejpam-1224	2	2	4, 2012	DATE
ejpam-1224	2	3	511	CARDINAL
ejpam-1224	2	4	f. t. hawwa	PERSON
ejpam-1224	3	1	j. william hoffman1	PERSON
ejpam-1224	3	2	haohao wang	PERSON
ejpam-1224	3	3	2,∗	CARDINAL
ejpam-1224	3	4	1	CARDINAL
ejpam-1224	3	5	louisiana state university, baton rouge	ORG
ejpam-1224	3	6	la	GPE
ejpam-1224	3	7	usa 2	ORG
ejpam-1224	3	8	southeast missouri	ORG
ejpam-1224	3	9	cape girardeau	GPE
ejpam-1224	3	10	mo	GPE
ejpam-1224	7	1	two	CARDINAL
ejpam-1224	7	2	first	ORDINAL
ejpam-1224	7	3	abelian	NORP
ejpam-1224	8	1	second	ORDINAL
ejpam-1224	8	2	algebras	ORG
ejpam-1224	10	1	2010	DATE
ejpam-1224	10	2	14f05	CARDINAL
ejpam-1224	10	3	16e05	CARDINAL
ejpam-1224	10	4	13d25	DATE
ejpam-1224	10	5	13d02	DATE
ejpam-1224	10	6	18e30	CARDINAL
ejpam-1224	11	1	1	CARDINAL
ejpam-1224	12	1	bernstein-gelfand-gelfand	ORG
ejpam-1224	12	2	2	CARDINAL
ejpam-1224	12	3	the mid 1970s	DATE
ejpam-1224	17	1	k. bernstein-gelfand-gelfand	PERSON
ejpam-1224	20	1	si ⊗ en→	ORG
ejpam-1224	20	2	⊗ en−1→	PERSON
ejpam-1224	21	1	∗corresponding	PERSON
ejpam-1224	22	1	f. hawwa	PERSON
ejpam-1224	22	2	j. hoffman	PERSON
ejpam-1224	22	3	h. wang	PERSON
ejpam-1224	23	1	511	CARDINAL
ejpam-1224	23	2	2012	DATE
ejpam-1224	24	1	f. hawwa	PERSON
ejpam-1224	24	2	j. hoffman	PERSON
ejpam-1224	24	3	h. wang	PERSON
ejpam-1224	25	1	j. pure	PERSON
ejpam-1224	25	2	5	CARDINAL
ejpam-1224	25	3	2012	DATE
ejpam-1224	25	4	511-539 512	MONEY
ejpam-1224	27	1	∧ eim	PERSON
ejpam-1224	28	1	j ∧	PERSON
ejpam-1224	29	1	∧ eim	PERSON
ejpam-1224	32	1	5	CARDINAL
ejpam-1224	42	1	j x	PERSON
ejpam-1224	44	1	0	CARDINAL
ejpam-1224	51	1	2	CARDINAL
ejpam-1224	51	2	1	CARDINAL
ejpam-1224	56	1	⊕	PERSON
ejpam-1224	60	1	x0	ORG
ejpam-1224	66	1	0	CARDINAL
ejpam-1224	67	1	∗	CARDINAL
ejpam-1224	67	2	1	CARDINAL
ejpam-1224	67	3	2	CARDINAL
ejpam-1224	67	4	2q(ξ	TIME
ejpam-1224	67	5	η ∈	PERSON
ejpam-1224	67	6	f. hawwa	PERSON
ejpam-1224	67	7	j. hoffman	PERSON
ejpam-1224	67	8	h. wang	PERSON
ejpam-1224	68	1	j. pure	PERSON
ejpam-1224	68	2	5	CARDINAL
ejpam-1224	68	3	2012	DATE
ejpam-1224	68	4	511	CARDINAL
ejpam-1224	68	5	4	CARDINAL
ejpam-1224	76	1	d(x	ORG
ejpam-1224	77	1	±	CARDINAL
ejpam-1224	78	1	±	CARDINAL
ejpam-1224	78	2	∈	ORG
ejpam-1224	78	3	2	CARDINAL
ejpam-1224	80	1	two	CARDINAL
ejpam-1224	82	1	u = k	PERSON
ejpam-1224	86	1	η	PERSON
ejpam-1224	86	2	0, dξ=	PERCENT
ejpam-1224	86	3	0	DATE
ejpam-1224	90	1	abelian	NORP
ejpam-1224	92	1	two	CARDINAL
ejpam-1224	93	1	6=	CARDINAL
ejpam-1224	93	2	z.	PERSON
ejpam-1224	93	3	⊕	PERSON
ejpam-1224	96	1	f. hawwa	PERSON
ejpam-1224	96	2	j. hoffman	PERSON
ejpam-1224	96	3	h. wang	PERSON
ejpam-1224	97	1	j. pure	PERSON
ejpam-1224	97	2	5	CARDINAL
ejpam-1224	97	3	2012	DATE
ejpam-1224	97	4	511	CARDINAL
ejpam-1224	106	1	a!)lλ l ∈ z	DATE
ejpam-1224	106	2	∈	ORG
ejpam-1224	108	1	two	CARDINAL
ejpam-1224	109	1	first	ORDINAL
ejpam-1224	109	2	second	ORDINAL
ejpam-1224	113	1	3	CARDINAL
ejpam-1224	116	1	f(n	ORG
ejpam-1224	116	2	⊗k n p ν g(m	ORG
ejpam-1224	123	1	f(x	ORG
ejpam-1224	130	1	4	CARDINAL
ejpam-1224	132	1	2	CARDINAL
ejpam-1224	135	1	g f. hawwa	PERSON
ejpam-1224	135	2	j. hoffman	PERSON
ejpam-1224	135	3	h. wang	PERSON
ejpam-1224	136	1	j. pure	PERSON
ejpam-1224	136	2	5	CARDINAL
ejpam-1224	136	3	2012	DATE
ejpam-1224	136	4	511	CARDINAL
ejpam-1224	145	1	first	ORDINAL
ejpam-1224	146	1	1	CARDINAL
ejpam-1224	148	1	⊕	GPE
ejpam-1224	148	2	⊂	GPE
ejpam-1224	148	3	aλ+µ.	PERSON
ejpam-1224	148	4	2	CARDINAL
ejpam-1224	150	1	⊂	GPE
ejpam-1224	151	1	⊂	GPE
ejpam-1224	151	2	⊂ u	PERSON
ejpam-1224	151	3	⋃	DATE
ejpam-1224	152	1	n ∈ n	ORG
ejpam-1224	152	2	⊂ fn+m	ORG
ejpam-1224	153	1	λ∈λ (fi ∩	PRODUCT
ejpam-1224	154	1	3	CARDINAL
ejpam-1224	155	1	⊕	PERSON
ejpam-1224	155	2	⊂	GPE
ejpam-1224	155	3	1	CARDINAL
ejpam-1224	158	1	4	CARDINAL
ejpam-1224	160	1	u-linear	ORG
ejpam-1224	163	1	f. hawwa	PERSON
ejpam-1224	163	2	j. hoffman	PERSON
ejpam-1224	163	3	h. wang	PERSON
ejpam-1224	164	1	j. pure	PERSON
ejpam-1224	164	2	5	CARDINAL
ejpam-1224	164	3	2012	DATE
ejpam-1224	164	4	511-539 516	QUANTITY
ejpam-1224	165	1	abelian	NORP
ejpam-1224	165	2	⊕	PERSON
ejpam-1224	167	1	⊕	PERSON
ejpam-1224	167	2	⊗ v	FAC
ejpam-1224	167	3	⊕	PERSON
ejpam-1224	167	4	⊕	PERSON
ejpam-1224	169	1	∈	ORG
ejpam-1224	169	2	k⊕ v ⊕	GPE
ejpam-1224	169	3	k⊕	PERSON
ejpam-1224	173	1	φ	PERSON
ejpam-1224	175	1	φ	PERSON
ejpam-1224	176	1	5	CARDINAL
ejpam-1224	177	1	⊗	CARDINAL
ejpam-1224	177	2	0→	CARDINAL
ejpam-1224	177	3	∗ ⊗	ORG
ejpam-1224	177	4	0	CARDINAL
ejpam-1224	179	1	a.	PERSON
ejpam-1224	179	2	k ⊕	PERSON
ejpam-1224	179	3	0	CARDINAL
ejpam-1224	179	4	r→ k	PERSON
ejpam-1224	179	5	2−−−→	CARDINAL
ejpam-1224	179	6	2−−−→	CARDINAL
ejpam-1224	179	7	k.	PERSON
ejpam-1224	180	1	∈	ORG
ejpam-1224	182	1	1	CARDINAL
ejpam-1224	182	2	2	CARDINAL
ejpam-1224	182	3	k β∗	PERSON
ejpam-1224	182	4	2	CARDINAL
ejpam-1224	182	5	1	CARDINAL
ejpam-1224	183	1	first	ORDINAL
ejpam-1224	184	1	λ = z.	PERSON
ejpam-1224	184	2	1	CARDINAL
ejpam-1224	186	1	⊗	CARDINAL
ejpam-1224	187	1	f. hawwa	PERSON
ejpam-1224	187	2	j. hoffman	PERSON
ejpam-1224	187	3	h. wang	PERSON
ejpam-1224	188	1	j. pure	PERSON
ejpam-1224	188	2	5	CARDINAL
ejpam-1224	188	3	2012	DATE
ejpam-1224	188	4	511	CARDINAL
ejpam-1224	188	5	539 517	CARDINAL
ejpam-1224	188	6	2	CARDINAL
ejpam-1224	190	1	gµ]⊂ gλ+µ	PERSON
ejpam-1224	193	1	x⊗ y−	PERSON
ejpam-1224	194	1	∈	ORG
ejpam-1224	194	2	∈	ORG
ejpam-1224	195	1	tg	PERSON
ejpam-1224	199	1	3	CARDINAL
ejpam-1224	200	1	p∈z bp	PERSON
ejpam-1224	200	2	bp = ⊕ λ∈λ	PERSON
ejpam-1224	200	3	bq ⊂ bp+q	PERSON
ejpam-1224	201	1	bp+1	GPE
ejpam-1224	201	2	d2(b	GPE
ejpam-1224	204	1	zero	CARDINAL
ejpam-1224	205	1	6	CARDINAL
ejpam-1224	210	1	−1)|b|bdn	PERSON
ejpam-1224	210	2	∈	ORG
ejpam-1224	210	3	n ∈ n	ORG
ejpam-1224	215	1	f. hawwa	PERSON
ejpam-1224	215	2	j. hoffman	PERSON
ejpam-1224	215	3	h. wang	PERSON
ejpam-1224	216	1	j. pure	PERSON
ejpam-1224	216	2	5	CARDINAL
ejpam-1224	216	3	2012	DATE
ejpam-1224	216	4	511	CARDINAL
ejpam-1224	216	5	539 518	CARDINAL
ejpam-1224	217	1	3	CARDINAL
ejpam-1224	218	1	u = k[x]/(x2−	PERSON
ejpam-1224	221	1	5	CARDINAL
ejpam-1224	221	2	6	DATE
ejpam-1224	221	3	4	CARDINAL
ejpam-1224	224	1	t (v ∗)/(r⊥	ORG
ejpam-1224	224	2	∗⊗	ORG
ejpam-1224	225	1	∗.	PERSON
ejpam-1224	227	1	2	CARDINAL
ejpam-1224	227	2	1	CARDINAL
ejpam-1224	229	1	1	CARDINAL
ejpam-1224	229	2	∗	CARDINAL
ejpam-1224	229	3	2	CARDINAL
ejpam-1224	229	4	∗ ⊗	ORG
ejpam-1224	230	1	r∗	PERSON
ejpam-1224	230	2	2	CARDINAL
ejpam-1224	230	3	w ∗	PERSON
ejpam-1224	230	4	φ(λ⊗k v)(w	PERSON
ejpam-1224	237	1	⊕	GPE
ejpam-1224	239	1	⊕	GPE
ejpam-1224	252	1	∈	ORG
ejpam-1224	253	1	∗	CARDINAL
ejpam-1224	254	1	1	CARDINAL
ejpam-1224	256	1	σgβαvβ	DATE
ejpam-1224	256	2	σhεα	TIME
ejpam-1224	257	1	w̌α	PERSON
ejpam-1224	257	2	∑ γ	PERSON
ejpam-1224	257	3	∑ γ	PERSON
ejpam-1224	258	1	f. hawwa	PERSON
ejpam-1224	258	2	j. hoffman	PERSON
ejpam-1224	258	3	h. wang	PERSON
ejpam-1224	259	1	j. pure	PERSON
ejpam-1224	259	2	5	CARDINAL
ejpam-1224	259	3	2012	DATE
ejpam-1224	259	4	511	CARDINAL
ejpam-1224	259	5	∑ γ	PERSON
ejpam-1224	259	6	ε gγβhεα	ORG
ejpam-1224	259	7	∑ γ	PERSON
ejpam-1224	262	1	1	CARDINAL
ejpam-1224	263	1	∑ γ	PERSON
ejpam-1224	263	2	t g)−1	ORG
ejpam-1224	263	3	∑ γ	PERSON
ejpam-1224	263	4	t g)−1	ORG
ejpam-1224	263	5	∑ α	PERSON
ejpam-1224	263	6	γ	GPE
ejpam-1224	263	7	t g)−1	ORG
ejpam-1224	264	1	gβα(g	ORG
ejpam-1224	265	1	a⊗	PERSON
ejpam-1224	265	2	∗	CARDINAL
ejpam-1224	265	3	a⊗	DATE
ejpam-1224	266	1	∗ φ y	ORG
ejpam-1224	266	2	φ y	DATE
ejpam-1224	266	3	hom(a	ORG
ejpam-1224	267	1	i+1	PERSON
ejpam-1224	268	1	hom(a	ORG
ejpam-1224	270	1	f. hawwa	PERSON
ejpam-1224	270	2	j. hoffman	PERSON
ejpam-1224	270	3	h. wang	PERSON
ejpam-1224	271	1	j. pure	PERSON
ejpam-1224	271	2	5	CARDINAL
ejpam-1224	271	3	2012	DATE
ejpam-1224	271	4	511-539 520	QUANTITY
ejpam-1224	271	5	∈	ORG
ejpam-1224	276	1	7→	CARDINAL
ejpam-1224	277	1	⊗ λ	PERSON
ejpam-1224	286	1	0	CARDINAL
ejpam-1224	289	1	∗.	PERSON
ejpam-1224	289	2	δ′	ORG
ejpam-1224	290	1	δ′	ORG
ejpam-1224	291	1	xe	ORG
ejpam-1224	292	1	⊗ a.	PERSON
ejpam-1224	296	1	k-linear	ORG
ejpam-1224	301	1	xe2	PERSON
ejpam-1224	301	2	0	CARDINAL
ejpam-1224	301	3	0	CARDINAL
ejpam-1224	301	4	0	CARDINAL
ejpam-1224	301	5	first	ORDINAL
ejpam-1224	301	6	2 ⊗	QUANTITY
ejpam-1224	301	7	⊗2)∗/r⊥)⊗	DATE
ejpam-1224	301	8	r∗ ⊗	PERSON
ejpam-1224	303	1	1 ⊗ a1	QUANTITY
ejpam-1224	303	2	2 ⊗ a2 p	QUANTITY
ejpam-1224	303	3	hom(v⊗2	PRODUCT
ejpam-1224	303	4	f. hawwa	PERSON
ejpam-1224	303	5	j. hoffman	PERSON
ejpam-1224	303	6	h. wang	PERSON
ejpam-1224	304	1	j. pure	PERSON
ejpam-1224	304	2	5	CARDINAL
ejpam-1224	304	3	2012	DATE
ejpam-1224	304	4	511	CARDINAL
ejpam-1224	304	5	⊗ a1)⊗	ORG
ejpam-1224	305	1	q.	PERSON
ejpam-1224	308	1	0	CARDINAL
ejpam-1224	308	2	hom(v⊗2	PRODUCT
ejpam-1224	308	3	v⊗2/r.	ORG
ejpam-1224	309	1	first	ORDINAL
ejpam-1224	310	1	1 ⊗ a1	QUANTITY
ejpam-1224	310	2	∗ ⊗	ORG
ejpam-1224	310	3	∗ ⊗	ORG
ejpam-1224	311	1	∗ ⊗	ORG
ejpam-1224	312	1	∗ ⊗	ORG
ejpam-1224	313	1	∈	ORG
ejpam-1224	314	1	γ θ	ORG
ejpam-1224	315	1	e⊗	GPE
ejpam-1224	316	1	e⊗	GPE
ejpam-1224	318	1	zero	CARDINAL
ejpam-1224	319	1	φ	PERSON
ejpam-1224	319	2	zero	CARDINAL
ejpam-1224	320	1	2 ⊗	QUANTITY
ejpam-1224	321	1	r∗ ⊗	PERSON
ejpam-1224	323	1	0	CARDINAL
ejpam-1224	324	1	⊗ vδ ∈	ORG
ejpam-1224	324	2	∈	ORG
ejpam-1224	324	3	q(v̌α⊗	GPE
ejpam-1224	324	4	⊗ vδ)(x	FAC
ejpam-1224	327	1	⊗ vδ	PERSON
ejpam-1224	327	2	f. hawwa	PERSON
ejpam-1224	327	3	j. hoffman	PERSON
ejpam-1224	327	4	h. wang	PERSON
ejpam-1224	328	1	j. pure	PERSON
ejpam-1224	328	2	5	CARDINAL
ejpam-1224	328	3	2012	DATE
ejpam-1224	328	4	511	CARDINAL
ejpam-1224	328	5	⊗ v̌γ ∈	PERSON
ejpam-1224	328	6	∗ ⊗	ORG
ejpam-1224	328	7	∗	CARDINAL
ejpam-1224	329	1	⊗	CARDINAL
ejpam-1224	330	1	ρ ∈ r⊥	ORG
ejpam-1224	332	1	∈	ORG
ejpam-1224	332	2	r.	NORP
ejpam-1224	332	3	⊗ vβ)⊗	PERSON
ejpam-1224	334	1	⊗ vδ	PERSON
ejpam-1224	338	1	0	CARDINAL
ejpam-1224	338	2	0	CARDINAL
ejpam-1224	342	1	1	CARDINAL
ejpam-1224	343	1	2.9.1	CARDINAL
ejpam-1224	346	1	2	CARDINAL
ejpam-1224	349	1	0	CARDINAL
ejpam-1224	349	2	h0(k(a))0 = k.	PERSON
ejpam-1224	356	1	4	CARDINAL
ejpam-1224	357	1	s(v	ORG
ejpam-1224	358	1	∗	CARDINAL
ejpam-1224	360	1	d1−→ a⊗	PERSON
ejpam-1224	360	2	p(x	PERSON
ejpam-1224	361	1	p(x	PERSON
ejpam-1224	362	1	a⊗ vi1 ∧ vi2 ∧	PERSON
ejpam-1224	363	1	∧ vip → σavi	ORG
ejpam-1224	363	2	−1	DATE
ejpam-1224	365	1	∧ bvi j ∧	PERSON
ejpam-1224	368	1	deg(a	PERSON
ejpam-1224	368	2	1 so deg(a ⊗ v	QUANTITY
ejpam-1224	370	1	h0(k∗)0 = k. f. hawwa	ORG
ejpam-1224	370	2	j. hoffman	PERSON
ejpam-1224	370	3	h. wang	PERSON
ejpam-1224	371	1	j. pure	PERSON
ejpam-1224	371	2	5	CARDINAL
ejpam-1224	371	3	2012	DATE
ejpam-1224	371	4	511	CARDINAL
ejpam-1224	373	1	β(p	ORG
ejpam-1224	373	2	section 2	LAW
ejpam-1224	375	1	2−−−→	CARDINAL
ejpam-1224	375	2	2−−−→	CARDINAL
ejpam-1224	375	3	1	CARDINAL
ejpam-1224	375	4	∗	CARDINAL
ejpam-1224	376	1	1	CARDINAL
ejpam-1224	380	1	0	CARDINAL
ejpam-1224	381	1	⊂	GPE
ejpam-1224	381	2	⊕	GPE
ejpam-1224	382	1	2	CARDINAL
ejpam-1224	383	1	1	CARDINAL
ejpam-1224	386	1	⊆	CARDINAL
ejpam-1224	386	2	∩	PERSON
ejpam-1224	386	3	⊗	CARDINAL
ejpam-1224	387	1	2	CARDINAL
ejpam-1224	394	1	3	CARDINAL
ejpam-1224	397	1	0	CARDINAL
ejpam-1224	398	1	two	CARDINAL
ejpam-1224	400	1	section 6	LAW
ejpam-1224	401	1	1	CARDINAL
ejpam-1224	403	1	⊗ x̌β	PERSON
ejpam-1224	406	1	1	CARDINAL
ejpam-1224	407	1	⊗ 1	ORG
ejpam-1224	410	1	2)⊗	CARDINAL
ejpam-1224	410	2	2	CARDINAL
ejpam-1224	411	1	1	CARDINAL
ejpam-1224	411	2	m,−	PRODUCT
ejpam-1224	411	3	2	CARDINAL
ejpam-1224	411	4	zero	CARDINAL
ejpam-1224	412	1	∑¬	PERSON
ejpam-1224	413	1	⊗ x̌β x̌α	PERSON
ejpam-1224	414	1	2	CARDINAL
ejpam-1224	414	2	x̌β x̌α	FAC
ejpam-1224	416	1	0	CARDINAL
ejpam-1224	417	1	f. hawwa	PERSON
ejpam-1224	417	2	j. hoffman	PERSON
ejpam-1224	417	3	h. wang	PERSON
ejpam-1224	418	1	j. pure	PERSON
ejpam-1224	418	2	5	CARDINAL
ejpam-1224	418	3	2012	DATE
ejpam-1224	418	4	511	CARDINAL
ejpam-1224	418	5	539 524	CARDINAL
ejpam-1224	418	6	5	CARDINAL
ejpam-1224	419	1	first	ORDINAL
ejpam-1224	421	1	0	CARDINAL
ejpam-1224	423	1	6	CARDINAL
ejpam-1224	425	1	0	CARDINAL
ejpam-1224	426	1	7	CARDINAL
ejpam-1224	426	2	s(v	ORG
ejpam-1224	426	3	y∈v	GPE
ejpam-1224	427	1	s(v	ORG
ejpam-1224	427	2	x⊗	DATE
ejpam-1224	428	1	∗ ⊗	ORG
ejpam-1224	428	2	8	CARDINAL
ejpam-1224	428	3	3	CARDINAL
ejpam-1224	428	4	1	CARDINAL
ejpam-1224	428	5	2	CARDINAL
ejpam-1224	432	1	1	CARDINAL
ejpam-1224	436	1	α(x2)>=	ORG
ejpam-1224	438	1	2	CARDINAL
ejpam-1224	442	1	b)ξ2	ORG
ejpam-1224	445	1	ξ−	PERSON
ejpam-1224	445	2	b)ξ2	ORG
ejpam-1224	445	3	ξ+	CARDINAL
ejpam-1224	447	1	0	CARDINAL
ejpam-1224	447	2	6	CARDINAL
ejpam-1224	452	1	u⊗	ORG
ejpam-1224	452	2	x̌αa+	NORP
ejpam-1224	452	3	u⊗	GPE
ejpam-1224	453	1	cgd	ORG
ejpam-1224	454	1	f. hawwa	PERSON
ejpam-1224	454	2	j. hoffman	PERSON
ejpam-1224	454	3	h. wang	PERSON
ejpam-1224	455	1	j. pure	PERSON
ejpam-1224	455	2	5	CARDINAL
ejpam-1224	455	3	2012	DATE
ejpam-1224	455	4	511-539 525	MONEY
ejpam-1224	455	5	2	CARDINAL
ejpam-1224	460	1	ac	ORG
ejpam-1224	462	1	x̌αa+	NORP
ejpam-1224	462	2	u⊗	GPE
ejpam-1224	464	1	⊗ x̌β x̌αa+	PERSON
ejpam-1224	464	2	∑ uxα⊗	PERSON
ejpam-1224	464	3	⊗ x̌β x̌αa+	PERSON
ejpam-1224	466	1	u⊗ ca− u⊗	ORG
ejpam-1224	466	2	ac	ORG
ejpam-1224	470	1	f(n	ORG
ejpam-1224	473	1	f(n	ORG
ejpam-1224	474	1	⊗k n	ORG
ejpam-1224	475	1	uxα⊗ x̌αn+	PERSON
ejpam-1224	477	1	2	CARDINAL
ejpam-1224	478	1	x̌αn ∈	PERSON
ejpam-1224	479	1	u-linear	ORG
ejpam-1224	480	1	xαn+ u⊗	PERSON
ejpam-1224	481	1	3	CARDINAL
ejpam-1224	481	2	0	CARDINAL
ejpam-1224	481	3	2	CARDINAL
ejpam-1224	484	1	f(n	ORG
ejpam-1224	485	1	u⊗ n ∈ f(n	ORG
ejpam-1224	486	1	axγ⊗	DATE
ejpam-1224	487	1	f. hawwa	PERSON
ejpam-1224	487	2	j. hoffman	PERSON
ejpam-1224	487	3	h. wang	PERSON
ejpam-1224	488	1	j. pure	PERSON
ejpam-1224	488	2	5	CARDINAL
ejpam-1224	488	3	2012	DATE
ejpam-1224	488	4	511	CARDINAL
ejpam-1224	488	5	x̌αn	ORG
ejpam-1224	488	6	1	CARDINAL
ejpam-1224	497	1	0	CARDINAL
ejpam-1224	501	1	∈	ORG
ejpam-1224	501	2	∈	ORG
ejpam-1224	511	1	3	CARDINAL
ejpam-1224	511	2	3	CARDINAL
ejpam-1224	512	1	9	CARDINAL
ejpam-1224	512	2	3	CARDINAL
ejpam-1224	512	3	two	CARDINAL
ejpam-1224	512	4	1	CARDINAL
ejpam-1224	512	5	kb	ORG
ejpam-1224	513	1	hom(a	ORG
ejpam-1224	516	1	hom(a	ORG
ejpam-1224	518	1	1)→	CARDINAL
ejpam-1224	519	1	∈	ORG
ejpam-1224	521	1	ka→	DATE
ejpam-1224	522	1	∗ ⊗	ORG
ejpam-1224	523	1	ξ̇p ⊗ 1	PERSON
ejpam-1224	523	2	ξ̇p−1	ORG
ejpam-1224	523	3	⊗	CARDINAL
ejpam-1224	523	4	u⊗	ORG
ejpam-1224	523	5	1	CARDINAL
ejpam-1224	525	1	f. hawwa	PERSON
ejpam-1224	525	2	j. hoffman	PERSON
ejpam-1224	525	3	h. wang	PERSON
ejpam-1224	526	1	j. pure	PERSON
ejpam-1224	526	2	5	CARDINAL
ejpam-1224	526	3	2012	DATE
ejpam-1224	526	4	511-539 527	MONEY
ejpam-1224	527	1	4	CARDINAL
ejpam-1224	527	2	3	CARDINAL
ejpam-1224	537	1	first	ORDINAL
ejpam-1224	549	1	∑ γ xγ f	PERSON
ejpam-1224	549	2	∑ δ	PERSON
ejpam-1224	549	3	dm	GPE
ejpam-1224	549	4	x̌δa	PERSON
ejpam-1224	550	1	1	CARDINAL
ejpam-1224	554	1	0	CARDINAL
ejpam-1224	554	2	4	CARDINAL
ejpam-1224	555	1	x̌γ)a−	NORP
ejpam-1224	555	2	∑ xγ f	PERSON
ejpam-1224	557	1	∑ xγ f	PERSON
ejpam-1224	561	1	dm	PERSON
ejpam-1224	561	2	x̌δa	PERSON
ejpam-1224	562	1	second	ORDINAL
ejpam-1224	562	2	d(d	PRODUCT
ejpam-1224	569	1	dm	PERSON
ejpam-1224	571	1	x̌αa	PERSON
ejpam-1224	572	1	dm	PERSON
ejpam-1224	573	1	ac	ORG
ejpam-1224	574	1	third	ORDINAL
ejpam-1224	574	2	d(d	PRODUCT
ejpam-1224	577	1	∑ xαk	PERSON
ejpam-1224	578	1	∑ xαdm	PERSON
ejpam-1224	579	1	∑ xαdm	PERSON
ejpam-1224	581	1	f. hawwa	PERSON
ejpam-1224	581	2	j. hoffman	PERSON
ejpam-1224	581	3	h. wang	PERSON
ejpam-1224	582	1	j. pure	PERSON
ejpam-1224	582	2	5	CARDINAL
ejpam-1224	582	3	2012	DATE
ejpam-1224	582	4	511	CARDINAL
ejpam-1224	582	5	539 528	CARDINAL
ejpam-1224	582	6	dm	ORG
ejpam-1224	582	7	u-linear	ORG
ejpam-1224	582	8	x̌δa	PERSON
ejpam-1224	583	1	x̌δa	PERSON
ejpam-1224	586	1	dm	PERSON
ejpam-1224	586	2	x̌δa	PERSON
ejpam-1224	588	1	x̌αa	PERSON
ejpam-1224	589	1	dm	PERSON
ejpam-1224	590	1	ac	ORG
ejpam-1224	590	2	∑ xαdm	PERSON
ejpam-1224	592	1	ac	ORG
ejpam-1224	593	1	d(a	PERSON
ejpam-1224	597	1	r.	NORP
ejpam-1224	598	1	d(a	PERSON
ejpam-1224	598	2	d(a	PERSON
ejpam-1224	600	1	d(a	PERSON
ejpam-1224	602	1	−1)qp+qr+p+r	ORG
ejpam-1224	605	1	first	ORDINAL
ejpam-1224	606	1	−1)qp+qr+p+r	ORG
ejpam-1224	606	2	second	ORDINAL
ejpam-1224	606	3	d(a	PERSON
ejpam-1224	613	1	f. hawwa	PERSON
ejpam-1224	613	2	j. hoffman	PERSON
ejpam-1224	613	3	h. wang	PERSON
ejpam-1224	614	1	j. pure	PERSON
ejpam-1224	614	2	5	CARDINAL
ejpam-1224	614	3	2012	DATE
ejpam-1224	614	4	511	CARDINAL
ejpam-1224	614	5	3	CARDINAL
ejpam-1224	615	1	1	CARDINAL
ejpam-1224	618	1	2	CARDINAL
ejpam-1224	619	1	d)(n ,	ORG
ejpam-1224	620	1	3	CARDINAL
ejpam-1224	622	1	f(n	ORG
ejpam-1224	623	1	first	ORDINAL
ejpam-1224	624	1	n ∈ n	ORG
ejpam-1224	625	1	x̌αn	ORG
ejpam-1224	626	1	two	CARDINAL
ejpam-1224	626	2	0	CARDINAL
ejpam-1224	626	3	first	ORDINAL
ejpam-1224	627	1	f(n	ORG
ejpam-1224	634	1	5	CARDINAL
ejpam-1224	635	1	0	CARDINAL
ejpam-1224	641	1	⊗m± ∑	PERSON
ejpam-1224	641	2	xαm± u⊗ d∗(a∗)⊗m	ORG
ejpam-1224	643	1	3	CARDINAL
ejpam-1224	645	1	fi−2u ⊗	ORG
ejpam-1224	645	2	2	CARDINAL
ejpam-1224	645	3	1	CARDINAL
ejpam-1224	647	1	0	CARDINAL
ejpam-1224	647	2	zero	CARDINAL
ejpam-1224	648	1	0→ fi−1g(m)→	PERSON
ejpam-1224	648	2	f. hawwa	PERSON
ejpam-1224	648	3	j. hoffman	PERSON
ejpam-1224	648	4	h. wang	PERSON
ejpam-1224	649	1	j. pure	PERSON
ejpam-1224	649	2	5	CARDINAL
ejpam-1224	649	3	2012	DATE
ejpam-1224	649	4	511-539 530	QUANTITY
ejpam-1224	649	5	a0 ⊗	ORG
ejpam-1224	651	1	⊗	ORG
ejpam-1224	656	1	i.	PERSON
ejpam-1224	659	1	lim −→ hp(fig(m	PERSON
ejpam-1224	659	2	i.	PERSON
ejpam-1224	663	1	0y	TIME
ejpam-1224	664	1	γ y	DATE
ejpam-1224	664	2	0	DATE
ejpam-1224	666	1	5	CARDINAL
ejpam-1224	667	1	lim −→ fig(m	PERSON
ejpam-1224	668	1	1	CARDINAL
ejpam-1224	669	1	0→	CARDINAL
ejpam-1224	670	1	4	CARDINAL
ejpam-1224	673	1	0→	CARDINAL
ejpam-1224	677	1	one	CARDINAL
ejpam-1224	678	1	0→ σ	QUANTITY
ejpam-1224	679	1	f. hawwa	PERSON
ejpam-1224	679	2	j. hoffman	PERSON
ejpam-1224	679	3	h. wang	PERSON
ejpam-1224	680	1	j. pure	PERSON
ejpam-1224	680	2	5	CARDINAL
ejpam-1224	680	3	2012	DATE
ejpam-1224	680	4	511	CARDINAL
ejpam-1224	680	5	539 531	CARDINAL
ejpam-1224	682	1	0y	TIME
ejpam-1224	683	1	γ y	DATE
ejpam-1224	684	1	0	DATE
ejpam-1224	685	1	5	CARDINAL
ejpam-1224	685	2	5	CARDINAL
ejpam-1224	686	1	= lim −→ σ≥pm	PERSON
ejpam-1224	690	1	= lim −→ σ≤sm	PERSON
ejpam-1224	692	1	lim −→	PERSON
ejpam-1224	694	1	0	CARDINAL
ejpam-1224	695	1	0	CARDINAL
ejpam-1224	699	1	lim −→	PERSON
ejpam-1224	699	2	m)→ lim −→ σ≥p	PERSON
ejpam-1224	699	3	lim −→	PERSON
ejpam-1224	700	1	0→	CARDINAL
ejpam-1224	701	1	5	CARDINAL
ejpam-1224	702	1	first	ORDINAL
ejpam-1224	705	1	⊗ ∏ p≥0	ORG
ejpam-1224	705	2	hom(a	ORG
ejpam-1224	709	1	⊕	GPE
ejpam-1224	709	2	ai+a ⊗	PERSON
ejpam-1224	713	1	i(m	ORG
ejpam-1224	714	1	f. hawwa	PERSON
ejpam-1224	714	2	j. hoffman	PERSON
ejpam-1224	714	3	h. wang	PERSON
ejpam-1224	715	1	j. pure	PERSON
ejpam-1224	715	2	5	CARDINAL
ejpam-1224	715	3	2012	DATE
ejpam-1224	715	4	511	CARDINAL
ejpam-1224	715	5	539 532	CARDINAL
ejpam-1224	719	1	0	CARDINAL
ejpam-1224	721	1	5	CARDINAL
ejpam-1224	723	1	0	CARDINAL
ejpam-1224	723	2	one	CARDINAL
ejpam-1224	723	3	deg b.	PERSON
ejpam-1224	723	4	5	CARDINAL
ejpam-1224	728	1	first	ORDINAL
ejpam-1224	728	2	second	ORDINAL
ejpam-1224	728	3	third	ORDINAL
ejpam-1224	730	1	←− h i(fνg(σ≤pm	ORG
ejpam-1224	731	1	5	CARDINAL
ejpam-1224	733	1	←−	ORG
ejpam-1224	734	1	5	CARDINAL
ejpam-1224	734	2	lim	ORG
ejpam-1224	735	1	←−	ORG
ejpam-1224	737	1	0	CARDINAL
ejpam-1224	740	1	0y	TIME
ejpam-1224	741	1	γ y	DATE
ejpam-1224	741	2	0	DATE
ejpam-1224	745	1	yβ	DATE
ejpam-1224	745	2	yγ	GPE
ejpam-1224	745	3	yα′ h i(σ	ORG
ejpam-1224	745	4	i(m	ORG
ejpam-1224	748	1	5	CARDINAL
ejpam-1224	748	2	f. hawwa	PERSON
ejpam-1224	748	3	j. hoffman	PERSON
ejpam-1224	748	4	h. wang	PERSON
ejpam-1224	749	1	j. pure	PERSON
ejpam-1224	749	2	5	CARDINAL
ejpam-1224	749	3	2012	DATE
ejpam-1224	749	4	511	CARDINAL
ejpam-1224	749	5	539 533	CARDINAL
ejpam-1224	749	6	1	CARDINAL
ejpam-1224	754	1	5	CARDINAL
ejpam-1224	759	1	n = lim −→ σ	PERSON
ejpam-1224	761	1	g lim −→ f(σ	PERSON
ejpam-1224	763	1	first	ORDINAL
ejpam-1224	765	1	+ 1≤	PERCENT
ejpam-1224	769	1	lim −→	PERSON
ejpam-1224	770	1	g lim −→ f(σ	PERSON
ejpam-1224	771	1	g lim −→ f(σ	PERSON
ejpam-1224	774	1	lim −→ u ⊗	PERSON
ejpam-1224	774	2	lim −→ homk((a	PERSON
ejpam-1224	776	1	f. hawwa	PERSON
ejpam-1224	776	2	j. hoffman	PERSON
ejpam-1224	776	3	h. wang	PERSON
ejpam-1224	777	1	j. pure	PERSON
ejpam-1224	777	2	5	CARDINAL
ejpam-1224	777	3	2012	DATE
ejpam-1224	777	4	511	CARDINAL
ejpam-1224	777	5	third	ORDINAL
ejpam-1224	778	1	+ 1≤	PERCENT
ejpam-1224	780	1	g lim −→ f(σ	PERSON
ejpam-1224	781	1	lim −→ t−i⊕	PERSON
ejpam-1224	782	1	g lim −→ f(σ	PERSON
ejpam-1224	785	1	lim	ORG
ejpam-1224	786	1	lemma 7	ORG
ejpam-1224	786	2	lim	PERSON
ejpam-1224	786	3	←−	ORG
ejpam-1224	786	4	←−	PRODUCT
ejpam-1224	786	5	lim	PERSON
ejpam-1224	786	6	←−	PRODUCT
ejpam-1224	786	7	g lim	PERSON
ejpam-1224	790	1	lim	PERSON
ejpam-1224	790	2	u ⊗ n	ORG
ejpam-1224	793	1	k∗p	PERSON
ejpam-1224	795	1	k∗p+1→ k∗p	PERSON
ejpam-1224	796	1	k∗p	PERSON
ejpam-1224	796	2	ha(k∗p	PERSON
ejpam-1224	796	3	dcc	ORG
ejpam-1224	797	1	lim	ORG
ejpam-1224	797	2	ha(k∗p	PERSON
ejpam-1224	798	1	←− p	ORG
ejpam-1224	799	1	f. hawwa	PERSON
ejpam-1224	799	2	j. hoffman	PERSON
ejpam-1224	799	3	h. wang	PERSON
ejpam-1224	800	1	j. pure	PERSON
ejpam-1224	800	2	5	CARDINAL
ejpam-1224	800	3	2012	DATE
ejpam-1224	800	4	511	CARDINAL
ejpam-1224	800	5	539 535	CARDINAL
ejpam-1224	800	6	6	CARDINAL
ejpam-1224	801	1	lim	ORG
ejpam-1224	801	2	←− p ha(fig(σ	ORG
ejpam-1224	803	1	←−	ORG
ejpam-1224	806	1	≤p)m	GPE
ejpam-1224	808	1	≤p)m	GPE
ejpam-1224	809	1	j ⊗ p+1−	PERSON
ejpam-1224	809	2	j+r	TIME
ejpam-1224	810	1	j+r	TIME
ejpam-1224	811	1	j+r	TIME
ejpam-1224	812	1	7	CARDINAL
ejpam-1224	813	1	lim	ORG
ejpam-1224	813	2	←−	PRODUCT
ejpam-1224	813	3	ha(gf(σ≤pn	CARDINAL
ejpam-1224	815	1	←− p	ORG
ejpam-1224	817	1	second	ORDINAL
ejpam-1224	817	2	two	CARDINAL
ejpam-1224	817	3	ha(gf(σ≤pn	DATE
ejpam-1224	819	1	first	ORDINAL
ejpam-1224	819	2	⊗	PERSON
ejpam-1224	819	3	σ≤pn) j+r	TIME
ejpam-1224	819	4	zero	CARDINAL
ejpam-1224	822	1	f. hawwa	PERSON
ejpam-1224	822	2	j. hoffman	PERSON
ejpam-1224	822	3	h. wang	PERSON
ejpam-1224	823	1	j. pure	PERSON
ejpam-1224	823	2	5	CARDINAL
ejpam-1224	823	3	2012	DATE
ejpam-1224	823	4	511	CARDINAL
ejpam-1224	823	5	539 536	CARDINAL
ejpam-1224	823	6	⊗ n j+r)→ p− j−1∏	PERSON
ejpam-1224	824	1	7	CARDINAL
ejpam-1224	828	1	7	CARDINAL
ejpam-1224	830	1	f(x	ORG
ejpam-1224	837	1	3	CARDINAL
ejpam-1224	838	1	3	CARDINAL
ejpam-1224	841	1	3	CARDINAL
ejpam-1224	842	1	8	CARDINAL
ejpam-1224	843	1	floystad	PERSON
ejpam-1224	845	1	cz(a	ORG
ejpam-1224	847	1	↑ ↓	ORG
ejpam-1224	850	1	f.	PERSON
ejpam-1224	851	1	•	CARDINAL
ejpam-1224	852	1	1	CARDINAL
ejpam-1224	852	2	⊕	PERSON
ejpam-1224	856	1	f. hawwa	PERSON
ejpam-1224	856	2	j. hoffman	PERSON
ejpam-1224	856	3	h. wang	PERSON
ejpam-1224	857	1	j. pure	PERSON
ejpam-1224	857	2	5	CARDINAL
ejpam-1224	857	3	2012	DATE
ejpam-1224	857	4	511	CARDINAL
ejpam-1224	857	5	f̃	PRODUCT
ejpam-1224	857	6	g̃	ORG
ejpam-1224	857	7	half	CARDINAL
ejpam-1224	859	1	•	CARDINAL
ejpam-1224	860	1	φ	PERSON
ejpam-1224	861	1	•	CARDINAL
ejpam-1224	862	1	0	CARDINAL
ejpam-1224	868	1	∈	ORG
ejpam-1224	875	1	−1)sdm	CARDINAL
ejpam-1224	875	2	∈	ORG
ejpam-1224	875	3	ψ(m	ORG
ejpam-1224	876	1	∈	ORG
ejpam-1224	877	1	•	CARDINAL
ejpam-1224	880	1	−1)s+kαdm	NORP
ejpam-1224	882	1	0	CARDINAL
ejpam-1224	885	1	⊂	GPE
ejpam-1224	887	1	ψ(m	ORG
ejpam-1224	888	1	φ(n	PERSON
ejpam-1224	889	1	∈	ORG
ejpam-1224	890	1	•	CARDINAL
ejpam-1224	891	1	φ	ORG
ejpam-1224	892	1	φ(a	ORG
ejpam-1224	898	1	−1)i+ jdn	PERSON
ejpam-1224	900	1	−1)i+ jα(dn	PERSON
ejpam-1224	901	1	α(dm	ORDINAL
ejpam-1224	902	1	f. hawwa	PERSON
ejpam-1224	902	2	j. hoffman	PERSON
ejpam-1224	902	3	h. wang	PERSON
ejpam-1224	903	1	j. pure	PERSON
ejpam-1224	903	2	5	CARDINAL
ejpam-1224	903	3	2012	DATE
ejpam-1224	903	4	511	CARDINAL
ejpam-1224	906	1	φ	ORG
ejpam-1224	906	2	⊗ n	PERSON
ejpam-1224	907	1	φ	ORG
ejpam-1224	909	1	half	CARDINAL
ejpam-1224	909	2	f̃	PERSON
ejpam-1224	909	3	f̃	PERSON
ejpam-1224	915	1	⊕	GPE
ejpam-1224	917	1	⊕	PERSON
ejpam-1224	922	1	fbm	PERSON
ejpam-1224	923	1	j = −s	PERSON
ejpam-1224	928	1	a⊗	DATE
ejpam-1224	931	1	dm	GPE
ejpam-1224	931	2	∈	ORG
ejpam-1224	933	1	dfb	ORG
ejpam-1224	933	2	−1)i+ jσav̌α⊗	PERSON
ejpam-1224	934	1	a⊗ dm	DATE
ejpam-1224	935	1	i+ j	PERSON
ejpam-1224	935	2	dfb	ORG
ejpam-1224	936	1	−1)i+ jdfb	PERSON
ejpam-1224	938	1	⊕	GPE
ejpam-1224	938	2	homk(br	GPE
ejpam-1224	938	3	539	CARDINAL
ejpam-1224	938	4	j = −q−	PERSON
ejpam-1224	938	5	r.	NORP
ejpam-1224	938	6	dgb	ORG
ejpam-1224	939	1	−1)iσv̌α	ORG
ejpam-1224	939	2	vαa	ORG
ejpam-1224	941	1	r−r	PERSON
ejpam-1224	941	2	n p+q+r −q−r	QUANTITY
ejpam-1224	946	1	two	CARDINAL
ejpam-1224	946	2	dgb	ORG
ejpam-1224	947	1	1	CARDINAL
ejpam-1224	947	2	a. beilinson	PERSON
ejpam-1224	947	3	w. soergel	PERSON
ejpam-1224	948	1	american	NORP
ejpam-1224	949	1	9	CARDINAL
ejpam-1224	949	2	1996	DATE
ejpam-1224	950	1	2	CARDINAL
ejpam-1224	950	2	i. bernstein	PERSON
ejpam-1224	950	3	i. gelfand	PERSON
ejpam-1224	950	4	s. gelfand	PERSON
ejpam-1224	951	1	funktsional’nyi	ORG
ejpam-1224	951	2	12	CARDINAL
ejpam-1224	951	3	english	NORP
ejpam-1224	951	4	12	CARDINAL
ejpam-1224	951	5	212	CARDINAL
ejpam-1224	952	1	1978	DATE
ejpam-1224	953	1	3	CARDINAL
ejpam-1224	954	1	american	NORP
ejpam-1224	955	1	358	CARDINAL
ejpam-1224	955	2	2373-2398	CARDINAL
ejpam-1224	956	1	2006	DATE
ejpam-1224	957	1	4	CARDINAL
ejpam-1224	957	2	m. kapranov	PERSON
ejpam-1224	959	1	92	CARDINAL
ejpam-1224	959	2	479	CARDINAL
ejpam-1224	959	3	1988	DATE
ejpam-1224	960	1	5	CARDINAL
ejpam-1224	960	2	l. positselski	PERSON
ejpam-1224	961	1	algebras	ORG
ejpam-1224	962	1	american mathematical society	ORG
ejpam-1224	962	2	ri	GPE
ejpam-1224	962	3	2005	DATE
