id	sid	eid	entity	type
easat-4026	1	1	2576-8484	DATE
easat-4026	1	2	8	CARDINAL
easat-4026	1	3	6	CARDINAL
easat-4026	1	4	9472-9486	DATE
easat-4026	1	5	2024	CARDINAL
easat-4026	1	6	10.55214/25768484.v8i6.4026 ©	CARDINAL
easat-4026	1	7	2024	CARDINAL
easat-4026	1	8	2024	CARDINAL
easat-4026	1	9	karar1	ORG
easat-4026	1	10	fatma elzhraa ahmed mohammed2*	PERSON
easat-4026	1	11	a. a. el fattah3	PERSON
easat-4026	2	1	science	ORG
easat-4026	2	2	aswan university	ORG
easat-4026	2	3	aswan	GPE
easat-4026	2	4	egypt	GPE
easat-4026	3	1	2,3mathematics	CARDINAL
easat-4026	3	2	fatma.elzhraa6590@gmail.com (f.a.m.	ORG
easat-4026	3	3	a.a.e.f	NORP
easat-4026	5	1	a_∞-algebras	PERSON
easat-4026	5	2	homotopy	ORG
easat-4026	7	1	a_∞-algebras	PERSON
easat-4026	8	1	two	CARDINAL
easat-4026	14	1	a_∞-algebras	PERSON
easat-4026	15	1	1	CARDINAL
easat-4026	15	2	riemann	PERSON
easat-4026	17	1	two	CARDINAL
easat-4026	18	1	algebraic topology	ORG
easat-4026	19	1	gerhard	ORG
easat-4026	19	2	1	CARDINAL
easat-4026	20	1	henri cartan	PERSON
easat-4026	20	2	samuel eilenberg	PERSON
easat-4026	21	1	2	CARDINAL
easat-4026	22	1	3	CARDINAL
easat-4026	26	1	4	CARDINAL
easat-4026	26	2	5	CARDINAL
easat-4026	27	1	6	CARDINAL
easat-4026	28	1	j. huebschmann	PERSON
easat-4026	28	2	9473	DATE
easat-4026	28	3	2576-8484	DATE
easat-4026	29	1	8	CARDINAL
easat-4026	30	1	6	CARDINAL
easat-4026	30	2	9472-9486	DATE
easat-4026	30	3	2024	CARDINAL
easat-4026	30	4	10.55214/25768484.v8i6.4026 ©	CARDINAL
easat-4026	30	5	2024	CARDINAL
easat-4026	31	1	7	CARDINAL
easat-4026	32	1	john d. s. jones	PERSON
easat-4026	32	2	e. getzler	PERSON
easat-4026	33	1	8	CARDINAL
easat-4026	34	1	kenji fukaya's	PERSON
easat-4026	34	2	9	CARDINAL
easat-4026	34	3	kontsevich	PERSON
easat-4026	34	4	1994	DATE
easat-4026	34	5	10	CARDINAL
easat-4026	35	1	11	CARDINAL
easat-4026	35	2	keller	PERSON
easat-4026	35	3	grothendieck	PERSON
easat-4026	36	1	p. seidel	PERSON
easat-4026	36	2	12	CARDINAL
easat-4026	36	3	alaa h.	PERSON
easat-4026	37	1	13,14	CARDINAL
easat-4026	40	1	ℋ𝐵𝑛(ℐ	GPE
easat-4026	40	2	ℛ ⊗	ORG
easat-4026	40	3	ℛ ⊗	ORG
easat-4026	40	4	⊗𝒜⨂∗	DATE
easat-4026	40	5	𝜌∗	ORG
easat-4026	40	6	two	CARDINAL
easat-4026	41	1	0 0	CARDINAL
easat-4026	41	2	⊗ 𝒢	PERSON
easat-4026	42	1	⊗ 𝒢	PERSON
easat-4026	43	1	⊗ 𝒢	PERSON
easat-4026	44	1	2	CARDINAL
easat-4026	44	2	𝓐∞-algebras	ORG
easat-4026	47	1	firstly	ORDINAL
easat-4026	48	1	2.1	CARDINAL
easat-4026	48	2	2	CARDINAL
easat-4026	48	3	𝒯	ORG
easat-4026	48	4	two	CARDINAL
easat-4026	53	1	2.2	CARDINAL
easat-4026	53	2	3	CARDINAL
easat-4026	54	1	ℐ-graded	ORG
easat-4026	54	2	𝒳𝚤	PERSON
easat-4026	54	3	9474	CARDINAL
easat-4026	54	4	2576-8484	DATE
easat-4026	54	5	8	CARDINAL
easat-4026	55	1	6	CARDINAL
easat-4026	55	2	9472-9486	DATE
easat-4026	55	3	2024	CARDINAL
easat-4026	55	4	10.55214/25768484.v8i6.4026 ©	CARDINAL
easat-4026	55	5	2024	CARDINAL
easat-4026	57	1	|𝓍|	PRODUCT
easat-4026	57	2	𝔉.	PERSON
easat-4026	58	1	2.3	CARDINAL
easat-4026	58	2	3	CARDINAL
easat-4026	58	3	𝔉	ORG
easat-4026	58	4	𝔉	ORG
easat-4026	58	5	∀𝚤 ∈ ℐ	ORG
easat-4026	59	1	𝒳⊗𝒴	GPE
easat-4026	59	2	two	CARDINAL
easat-4026	59	3	𝒶𝚤𝓍𝚤𝚤	PERSON
easat-4026	59	4	∑ 𝒷ℓ𝓎ℓℓ	PERSON
easat-4026	59	5	∑ 𝒶𝚤𝓍𝚤𝚤	PERSON
easat-4026	60	1	∑ 𝒷ℓ𝓎ℓℓ	PERSON
easat-4026	64	1	2.4	CARDINAL
easat-4026	65	1	∘	DATE
easat-4026	65	2	𝜙	ORG
easat-4026	65	3	𝒳 ×𝒴	ORG
easat-4026	66	1	ℜ′(𝓍𝚤	PRODUCT
easat-4026	67	1	𝒳⊗𝒴	GPE
easat-4026	67	2	ℜ′.	GPE
easat-4026	67	3	ℜ′ ∘ 𝜙.	PERSON
easat-4026	68	1	ℜ′ ∘ 𝜙.	PERSON
easat-4026	68	2	𝒳⊗𝒴	GPE
easat-4026	68	3	ℜ′ ∘ 𝜙.	PERSON
easat-4026	69	1	∘ 𝜙	DATE
easat-4026	70	1	∘ 𝜙. therefore	PERSON
easat-4026	71	1	2.5	CARDINAL
easat-4026	72	1	14	CARDINAL
easat-4026	72	2	∈	ORG
easat-4026	72	3	ℐ ℳ𝚤	PERSON
easat-4026	72	4	∈	ORG
easat-4026	74	1	2.6	CARDINAL
easat-4026	74	2	15	CARDINAL
easat-4026	76	1	linear morphisms	ORG
easat-4026	77	1	9475	DATE
easat-4026	77	2	2576-8484	DATE
easat-4026	77	3	8	CARDINAL
easat-4026	78	1	6	CARDINAL
easat-4026	78	2	9472-9486	DATE
easat-4026	78	3	2024	CARDINAL
easat-4026	78	4	10.55214/25768484.v8i6.4026 ©	CARDINAL
easat-4026	78	5	2024	CARDINAL
easat-4026	78	6	2.7	CARDINAL
easat-4026	79	1	15	CARDINAL
easat-4026	79	2	ℤ-graded	ORG
easat-4026	82	1	∈	ORG
easat-4026	83	1	|𝑓(𝓂1⊗𝓂2⊗	ORG
easat-4026	86	1	2.8	CARDINAL
easat-4026	87	1	⨁𝑛𝑉𝑛	ORG
easat-4026	89	1	2.9	CARDINAL
easat-4026	89	2	13	CARDINAL
easat-4026	89	3	two	CARDINAL
easat-4026	89	4	𝛽:𝒳 → 𝒳	ORG
easat-4026	89	5	𝒴 → 𝒴. next	ORG
easat-4026	89	6	𝒳⊗𝒴	GPE
easat-4026	91	1	1	CARDINAL
easat-4026	92	1	two	CARDINAL
easat-4026	92	2	−1)|𝓈||𝓇|	ORG
easat-4026	93	1	⊗ 𝛾)(𝓍 ⊗𝓎	NORP
easat-4026	95	1	algebras (dgas	ORG
easat-4026	96	1	2.10	CARDINAL
easat-4026	96	2	15	CARDINAL
easat-4026	96	3	0	CARDINAL
easat-4026	98	1	∈	ORG
easat-4026	99	1	2	CARDINAL
easat-4026	99	2	1	CARDINAL
easat-4026	99	3	−1)|𝓂||𝓃|𝓃𝓂	GPE
easat-4026	99	4	∈	ORG
easat-4026	100	1	1/2	CARDINAL
easat-4026	101	1	ℳ-module	PRODUCT
easat-4026	101	2	ℳ-module	PRODUCT
easat-4026	101	3	2	CARDINAL
easat-4026	103	1	9476	CARDINAL
easat-4026	103	2	2576-8484	DATE
easat-4026	103	3	8	CARDINAL
easat-4026	104	1	6	CARDINAL
easat-4026	104	2	9472-9486	DATE
easat-4026	104	3	2024	CARDINAL
easat-4026	104	4	10.55214/25768484.v8i6.4026 ©	CARDINAL
easat-4026	104	5	2024	CARDINAL
easat-4026	104	6	2.11	CARDINAL
easat-4026	105	1	16	CARDINAL
easat-4026	106	1	ℳmodule	GPE
easat-4026	107	1	∈	ORG
easat-4026	108	1	ℳ-module	ORG
easat-4026	109	1	ℳ-module	PRODUCT
easat-4026	111	1	2.12	CARDINAL
easat-4026	111	2	16	CARDINAL
easat-4026	111	3	ℳ-homomorphisms	ORG
easat-4026	112	1	𝐻𝑜𝑚ℳ 𝐺𝑟(𝑅	ORG
easat-4026	112	2	𝑆)𝚤	PRODUCT
easat-4026	112	3	𝒹𝐻𝑜𝑚	ORG
easat-4026	112	4	∈	ORG
easat-4026	115	1	2.13	CARDINAL
easat-4026	115	2	17	CARDINAL
easat-4026	116	1	−1)|𝑟|𝑟	PRODUCT
easat-4026	117	1	𝐻𝑜𝑚ℳ	ORG
easat-4026	120	1	2.14	CARDINAL
easat-4026	121	1	18	CARDINAL
easat-4026	121	2	ℤ	ORG
easat-4026	121	3	𝑀-linear	ORG
easat-4026	121	4	𝑟𝑛:𝒜 ⊗𝑛 →	DATE
easat-4026	121	5	1	CARDINAL
easat-4026	121	6	2	CARDINAL
easat-4026	121	7	𝑛)-degree	CARDINAL
easat-4026	121	8	∈ ℕ	ORG
easat-4026	122	1	⊗ 𝑟𝑠⊗	PERSON
easat-4026	122	2	0	CARDINAL
easat-4026	123	1	3	CARDINAL
easat-4026	124	1	1	CARDINAL
easat-4026	125	1	algebras	ORG
easat-4026	126	1	1	CARDINAL
easat-4026	126	2	∘	CARDINAL
easat-4026	126	3	0	CARDINAL
easat-4026	126	4	1	CARDINAL
easat-4026	126	5	𝑆𝐿(2	ORG
easat-4026	126	6	∘	DATE
easat-4026	126	7	zero	CARDINAL
easat-4026	127	1	homotopy	ORG
easat-4026	127	2	9477	DATE
easat-4026	127	3	2576-8484	DATE
easat-4026	127	4	8	CARDINAL
easat-4026	127	5	6	CARDINAL
easat-4026	127	6	9472-9486	DATE
easat-4026	127	7	2024	CARDINAL
easat-4026	127	8	10.55214/25768484.v8i6.4026 ©	CARDINAL
easat-4026	127	9	2024	CARDINAL
easat-4026	127	10	⊗	ORG
easat-4026	127	11	𝑟3 + 𝑟3 ∘	DATE
easat-4026	131	1	4	CARDINAL
easat-4026	131	2	pentagonal homotopy	ORG
easat-4026	131	3	𝑟2,	GPE
easat-4026	131	4	⊗ 𝑟3 +	ORG
easat-4026	131	5	𝑟3 ∘	DATE
easat-4026	134	1	⊗ 𝑟2	QUANTITY
easat-4026	135	1	0	CARDINAL
easat-4026	136	1	2.15	CARDINAL
easat-4026	139	1	2.16	CARDINAL
easat-4026	140	1	19	CARDINAL
easat-4026	140	2	𝑀-linear	ORG
easat-4026	140	3	𝒽:𝒜 → ℬ of 𝒜∞-algebras	ORG
easat-4026	140	4	1	CARDINAL
easat-4026	140	5	⊗	PERSON
easat-4026	140	6	−1)𝓆𝑟𝑗	ORG
easat-4026	142	1	1	CARDINAL
easat-4026	142	2	2)(𝑖2	CARDINAL
easat-4026	142	3	1	CARDINAL
easat-4026	142	4	1)(𝑖1	CARDINAL
easat-4026	142	5	1	CARDINAL
easat-4026	143	1	1𝒜	CARDINAL
easat-4026	143	2	1ℬ	CARDINAL
easat-4026	143	3	1	CARDINAL
easat-4026	143	4	ring morphisms	PERSON
easat-4026	144	1	1ℬ. 2	DATE
easat-4026	144	2	1𝒜	CARDINAL
easat-4026	144	3	𝒽𝑛(𝒶1⊗	GPE
easat-4026	145	1	2	CARDINAL
easat-4026	145	2	∈	ORG
easat-4026	145	3	1	CARDINAL
easat-4026	146	1	3	CARDINAL
easat-4026	146	2	𝒽:𝒜 → ℬ	ORG
easat-4026	146	3	2	CARDINAL
easat-4026	146	4	4	CARDINAL
easat-4026	146	5	𝒽:𝒜 → ℬ	ORG
easat-4026	146	6	𝑟𝑛(𝒽1⊗	CARDINAL
easat-4026	148	1	5	CARDINAL
easat-4026	151	1	2.17	CARDINAL
easat-4026	152	1	19	CARDINAL
easat-4026	154	1	𝒽:𝒜 → ℬ	ORG
easat-4026	155	1	9478	CARDINAL
easat-4026	155	2	2576-8484	DATE
easat-4026	155	3	8	CARDINAL
easat-4026	156	1	6	CARDINAL
easat-4026	156	2	9472-9486	DATE
easat-4026	156	3	2024	CARDINAL
easat-4026	156	4	10.55214/25768484.v8i6.4026 ©	CARDINAL
easat-4026	156	5	2024	CARDINAL
easat-4026	158	1	algebras	ORG
easat-4026	159	1	2.18	CARDINAL
easat-4026	159	2	20	CARDINAL
easat-4026	159	3	𝒽:𝒜 → ℬ	ORG
easat-4026	162	1	ℬ.	PERSON
easat-4026	162	2	two	CARDINAL
easat-4026	165	1	zero	CARDINAL
easat-4026	166	1	𝐸𝑥𝑡𝒜 ∗ (𝑀,𝑀	ORG
easat-4026	167	1	2.19	CARDINAL
easat-4026	168	1	21	CARDINAL
easat-4026	168	2	𝐸𝑥𝑡𝒜 ∗ (𝑀,𝑀	ORG
easat-4026	169	1	𝒫 of 𝑀𝒜	ORG
easat-4026	170	1	the yoneda	DATE
easat-4026	170	2	𝐸𝑥𝑡𝒜 ∗ (𝑀,𝑀	ORG
easat-4026	172	1	2.20	CARDINAL
easat-4026	173	1	1	CARDINAL
easat-4026	173	2	2	CARDINAL
easat-4026	178	1	2.21	CARDINAL
easat-4026	178	2	11	CARDINAL
easat-4026	179	1	ℤ-graded	ORG
easat-4026	179	2	𝑅:𝒜⊗𝑛−1⊗𝑅	ORG
easat-4026	179	3	∑(−1)𝑚+𝑠𝑡𝑟𝑚+1+𝑡(𝑖𝑑	PERSON
easat-4026	180	1	0	CARDINAL
easat-4026	181	1	algebras	ORG
easat-4026	182	1	9479	DATE
easat-4026	182	2	2576-8484	DATE
easat-4026	182	3	8	CARDINAL
easat-4026	183	1	6	CARDINAL
easat-4026	183	2	9472-9486	DATE
easat-4026	183	3	2024	CARDINAL
easat-4026	183	4	10.55214/25768484.v8i6.4026 ©	CARDINAL
easat-4026	183	5	2024	CARDINAL
easat-4026	183	6	2.22	CARDINAL
easat-4026	184	1	8	CARDINAL
easat-4026	185	1	𝒽𝑛:𝒜 ⊗𝑛−1⊗𝑅	ORG
easat-4026	186	1	all 𝑛 ≥ 1	DATE
easat-4026	187	1	2	CARDINAL
easat-4026	188	1	two	CARDINAL
easat-4026	190	1	∘	PERSON
easat-4026	190	2	4	CARDINAL
easat-4026	192	1	2.23	CARDINAL
easat-4026	193	1	8	CARDINAL
easat-4026	193	2	𝒽:𝒜 → ℬ	ORG
easat-4026	194	1	𝒜∞(𝒜	ORG
easat-4026	196	1	2.24	CARDINAL
easat-4026	197	1	22	CARDINAL
easat-4026	198	1	𝒜∞(𝒜	ORG
easat-4026	200	1	2.25	CARDINAL
easat-4026	201	1	14	CARDINAL
easat-4026	201	2	ℛ-module	PERSON
easat-4026	201	3	𝑟𝑛:𝒜	GPE
easat-4026	201	4	∑	PERSON
easat-4026	201	5	1⨂𝑚 ⊗ 𝑟𝑠 ⊗1⨂𝑡	QUANTITY
easat-4026	202	1	2.26	CARDINAL
easat-4026	202	2	23	CARDINAL
easat-4026	202	3	ω	GPE
easat-4026	206	1	2.27	CARDINAL
easat-4026	206	2	24	CARDINAL
easat-4026	207	1	0	CARDINAL
easat-4026	208	1	9480	CARDINAL
easat-4026	208	2	2576-8484	DATE
easat-4026	209	1	8	CARDINAL
easat-4026	210	1	6	CARDINAL
easat-4026	210	2	9472-9486	DATE
easat-4026	210	3	2024	CARDINAL
easat-4026	210	4	10.55214/25768484.v8i6.4026 ©	CARDINAL
easat-4026	210	5	2024	CARDINAL
easat-4026	210	6	𝒶(𝒾1,⋯	GPE
easat-4026	210	7	∑ ±𝑟𝑛+ℓ(𝒶⨂ℓ1	PERSON
easat-4026	212	1	𝒩𝒶	ORG
easat-4026	213	1	2.28	CARDINAL
easat-4026	214	1	25	CARDINAL
easat-4026	214	2	𝒳∗	ORG
easat-4026	215	1	𝒳0	CARDINAL
easat-4026	215	2	𝐼𝑚(𝒹𝑛+1	ORG
easat-4026	216	1	5	CARDINAL
easat-4026	216	2	𝐼𝑚 𝒹𝑛+1 ⊂	GPE
easat-4026	218	1	2.29	CARDINAL
easat-4026	218	2	22	CARDINAL
easat-4026	218	3	ℬ-module	ORG
easat-4026	220	1	𝑟2	CARDINAL
easat-4026	220	2	𝐸𝑥𝑡ℬ	ORG
easat-4026	222	1	2.30	CARDINAL
easat-4026	223	1	26	CARDINAL
easat-4026	223	2	𝒮𝑗	NORP
easat-4026	223	3	∈ 𝒮	ORG
easat-4026	224	1	0 𝒮 ⊗𝒜⊗𝑛	PERSON
easat-4026	225	1	⊕𝑗=𝑛−𝑗0−𝑗1−⋯−𝑗𝑛	DATE
easat-4026	226	1	6	CARDINAL
easat-4026	228	1	2.31	CARDINAL
easat-4026	228	2	27	CARDINAL
easat-4026	231	1	∈ 𝒮	ORG
easat-4026	231	2	⊗𝒶1 ⊗	PERSON
easat-4026	231	3	deg(𝓈 ⊗ 𝒶1 ⊗	PERSON
easat-4026	234	1	9481	DATE
easat-4026	234	2	2576-8484	DATE
easat-4026	234	3	8	CARDINAL
easat-4026	235	1	6	CARDINAL
easat-4026	235	2	9472-9486	DATE
easat-4026	235	3	2024	CARDINAL
easat-4026	235	4	10.55214/25768484.v8i6.4026 ©	CARDINAL
easat-4026	235	5	2024	CARDINAL
easat-4026	235	6	1	CARDINAL
easat-4026	236	1	∞ ⊕	PERSON
easat-4026	236	2	0 𝒮	ORG
easat-4026	237	1	algebras	ORG
easat-4026	238	1	2.32	CARDINAL
easat-4026	238	2	28	CARDINAL
easat-4026	239	1	ℋℋ𝑛−1(ℐ	DATE
easat-4026	239	2	ℋℋ𝑛−1(𝒜	DATE
easat-4026	240	1	2.33	CARDINAL
easat-4026	240	2	29	CARDINAL
easat-4026	240	3	ℐ-ideal	GPE
easat-4026	240	4	ℐ ⊂ 𝒜	ORG
easat-4026	240	5	𝑖∗	DATE
easat-4026	241	1	1)-homology	ORDINAL
easat-4026	242	1	3	CARDINAL
easat-4026	243	1	ℋ-unitarity	ORG
easat-4026	245	1	frist	NORP
easat-4026	247	1	3.1	CARDINAL
easat-4026	250	1	30	CARDINAL
easat-4026	250	2	31	CARDINAL
easat-4026	250	3	𝒳.	PRODUCT
easat-4026	251	1	9482	CARDINAL
easat-4026	251	2	2576-8484	DATE
easat-4026	251	3	8	CARDINAL
easat-4026	252	1	6	CARDINAL
easat-4026	252	2	9472-9486	DATE
easat-4026	252	3	2024	CARDINAL
easat-4026	252	4	10.55214/25768484.v8i6.4026 ©	CARDINAL
easat-4026	252	5	2024	CARDINAL
easat-4026	255	1	𝔇	ORG
easat-4026	257	1	3.2	CARDINAL
easat-4026	259	1	∩ ℬ	WORK_OF_ART
easat-4026	259	2	7	CARDINAL
easat-4026	260	1	3.3	CARDINAL
easat-4026	262	1	′):= ℛ	PERSON
easat-4026	266	1	⊗𝒶𝑖𝒶𝑖+1⊗	ORG
easat-4026	268	1	3.4	CARDINAL
easat-4026	268	2	ℋℋ∗(ℐ	ORG
easat-4026	271	1	𝜌4	CARDINAL
easat-4026	271	2	9483	CARDINAL
easat-4026	271	3	2576-8484	DATE
easat-4026	271	4	8	CARDINAL
easat-4026	272	1	6	CARDINAL
easat-4026	272	2	9472-9486	DATE
easat-4026	272	3	2024	CARDINAL
easat-4026	272	4	10.55214/25768484.v8i6.4026 ©	CARDINAL
easat-4026	272	5	2024	CARDINAL
easat-4026	272	6	′	CARDINAL
easat-4026	275	1	3.5	CARDINAL
easat-4026	275	2	ℐ̃	CARDINAL
easat-4026	276	1	the 𝐻-homology 𝐻∗(ℐ	ORG
easat-4026	276	2	ℋ∗(ℐ):= ℋ∗(ℐ	ORG
easat-4026	276	3	ℋ𝐵∗(ℐ):=	ORG
easat-4026	276	4	ℋℋ∗(ℐ	ORG
easat-4026	276	5	ℐ̃	CARDINAL
easat-4026	276	6	ℋ̅𝑛(ℐ	PERSON
easat-4026	276	7	ℐ̃	CARDINAL
easat-4026	276	8	ℐ̃	CARDINAL
easat-4026	276	9	ℐ̃	CARDINAL
easat-4026	276	10	ℋℋ∗(ℐ	ORG
easat-4026	276	11	1−𝑡	CARDINAL
easat-4026	277	1	8)	CARDINAL
easat-4026	278	1	ℋ𝐵𝑛(ℐ	GPE
easat-4026	279	1	ℋ-unitarity	ORG
easat-4026	279	2	3.6	CARDINAL
easat-4026	281	1	ℛ ⊗	ORG
easat-4026	282	1	one	CARDINAL
easat-4026	282	2	ℋ-unital	ORG
easat-4026	283	1	ℋ-unital	ORG
easat-4026	284	1	ℋ-unitarity	ORG
easat-4026	284	2	3.7	CARDINAL
easat-4026	285	1	0 → ℐ → 𝒜 → ℬ → 0	ORG
easat-4026	285	2	𝒜-bimodule	GPE
easat-4026	286	1	ℛ ⊗	ORG
easat-4026	287	1	9	CARDINAL
easat-4026	287	2	ℛ ⊗	ORG
easat-4026	287	3	⊗𝒜⨂∗	DATE
easat-4026	287	4	𝜌∗	ORG
easat-4026	287	5	10	CARDINAL
easat-4026	287	6	𝐹0	CARDINAL
easat-4026	287	7	⊗𝒜⨂∗	DATE
easat-4026	287	8	𝜌∗	ORG
easat-4026	287	9	32	CARDINAL
easat-4026	287	10	33	CARDINAL
easat-4026	287	11	ℛ ⊗	ORG
easat-4026	287	12	ℐ⊗2	DATE
easat-4026	287	13	𝒢 𝐹ℓ ⊗𝒢	PERSON
easat-4026	287	14	∗	CARDINAL
easat-4026	287	15	ℛ ⊗	ORG
easat-4026	287	16	ℬ⊗𝒜⊗ℓ ⊗𝒢	PERSON
easat-4026	287	17	11	CARDINAL
easat-4026	288	1	0	CARDINAL
easat-4026	288	2	⊗𝒢	PERSON
easat-4026	288	3	0	CARDINAL
easat-4026	288	4	12	CARDINAL
easat-4026	289	1	3.7	CARDINAL
easat-4026	289	2	two	CARDINAL
easat-4026	290	1	9484	CARDINAL
easat-4026	290	2	2576-8484	DATE
easat-4026	290	3	8	CARDINAL
easat-4026	291	1	6	CARDINAL
easat-4026	291	2	9472-9486	DATE
easat-4026	291	3	2024	CARDINAL
easat-4026	291	4	10.55214/25768484.v8i6.4026 ©	CARDINAL
easat-4026	291	5	2024	CARDINAL
easat-4026	291	6	ℋ-unitarity	ORG
easat-4026	292	1	3.8	CARDINAL
easat-4026	292	2	34	CARDINAL
easat-4026	293	1	𝜋	PERSON
easat-4026	293	2	ℋ-unital	ORG
easat-4026	295	1	𝜋	PERSON
easat-4026	296	1	⊗ 𝒢.	PERSON
easat-4026	296	2	3.7	CARDINAL
easat-4026	298	1	ℬ(ℓ)⊗	PERSON
easat-4026	298	2	⊗ 𝒢	PERSON
easat-4026	298	3	13	CARDINAL
easat-4026	299	1	𝜋′	DATE
easat-4026	301	1	3.9	CARDINAL
easat-4026	301	2	1	CARDINAL
easat-4026	301	3	ℋ-unital	ORG
easat-4026	302	1	2	CARDINAL
easat-4026	303	1	3	CARDINAL
easat-4026	304	1	4	CARDINAL
easat-4026	305	1	1	CARDINAL
easat-4026	305	2	2	CARDINAL
easat-4026	305	3	𝒜∞algebras	LOC
easat-4026	305	4	𝜋	PERSON
easat-4026	305	5	⊗ 𝒢	PERSON
easat-4026	305	6	⊗ 𝒢.	PERSON
easat-4026	306	1	⊗ 𝒢	PERSON
easat-4026	307	1	⊗ 𝒢	PERSON
easat-4026	308	1	⊗ 𝒢	PERSON
easat-4026	308	2	3.8	CARDINAL
easat-4026	310	1	3.7	CARDINAL
easat-4026	311	1	1	CARDINAL
easat-4026	311	2	3	CARDINAL
easat-4026	312	1	2	CARDINAL
easat-4026	313	1	2	CARDINAL
easat-4026	313	2	3	CARDINAL
easat-4026	313	3	4	CARDINAL
easat-4026	314	1	ℋ𝐵𝑛(ℐ	GPE
easat-4026	315	1	2	CARDINAL
easat-4026	315	2	1	CARDINAL
easat-4026	315	3	9485	CARDINAL
easat-4026	315	4	2576-8484	DATE
easat-4026	315	5	8	CARDINAL
easat-4026	315	6	6	CARDINAL
easat-4026	315	7	9472-9486	DATE
easat-4026	315	8	2024	CARDINAL
easat-4026	315	9	10.55214/25768484.v8i6.4026 ©	CARDINAL
easat-4026	315	10	2024	CARDINAL
easat-4026	315	11	𝑣′	DATE
easat-4026	316	1	𝑢𝑢′	ORG
easat-4026	317	1	𝒢 ⊗	ORG
easat-4026	317	2	∗−1	LANGUAGE
easat-4026	318	1	𝒢 ⊗	ORG
easat-4026	318	2	∗−1	LANGUAGE
easat-4026	319	1	3	CARDINAL
easat-4026	319	2	1	CARDINAL
easat-4026	319	3	1	CARDINAL
easat-4026	320	1	4	CARDINAL
easat-4026	320	2	1	CARDINAL
easat-4026	320	3	1	CARDINAL
easat-4026	321	1	𝒞∗∗(𝒜	PERSON
easat-4026	321	2	𝒶0⊗⋯⊗𝒶𝑛	ORG
easat-4026	322	1	⊕	GPE
easat-4026	323	1	ℋ-unital	ORG
easat-4026	323	2	0, 𝑁(𝑥	PERCENT
easat-4026	323	3	3.7	CARDINAL
easat-4026	330	1	2024	CARDINAL
easat-4026	331	1	https://creativecommons.org/licenses/by/4.0/	WORK_OF_ART
easat-4026	332	1	1	CARDINAL
easat-4026	333	1	46	DATE
easat-4026	333	2	1	CARDINAL
easat-4026	336	1	https://doi.org/10.2307/1969145	PERSON
easat-4026	337	1	2	CARDINAL
easat-4026	337	2	h. cartan	PERSON
easat-4026	337	3	s. eilenberg	PERSON
easat-4026	337	4	princeton mathematical	PERSON
easat-4026	337	5	princeton university press	ORG
easat-4026	337	6	19, 1956	DATE
easat-4026	338	1	978	CARDINAL
easat-4026	338	2	0077480	DATE
easat-4026	339	1	3	CARDINAL
easat-4026	339	2	j. d. stasheff	PERSON
easat-4026	340	1	american	NORP
easat-4026	340	2	2	CARDINAL
easat-4026	341	1	293-312	CARDINAL
easat-4026	341	2	1963	DATE
easat-4026	343	1	4	CARDINAL
easat-4026	343	2	kadeishvili	ORG
easat-4026	343	3	harrison cohomologies	PERSON
easat-4026	344	1	a. razmadze	PERSON
easat-4026	345	1	inst	PERSON
easat-4026	345	2	91, 1988	DATE
easat-4026	347	1	5	CARDINAL
easat-4026	347	2	b. keller	PERSON
easat-4026	348	1	67-94	CARDINAL
easat-4026	349	1	arxiv	PERSON
easat-4026	350	1	6	CARDINAL
easat-4026	350	2	différentielles fortement homotopiquement	ORG
easat-4026	350	3	ph.d	ORG
easat-4026	351	1	1986	DATE
easat-4026	352	1	7	CARDINAL
easat-4026	352	2	j. hübschmann	PERSON
easat-4026	352	3	homotopy	ORG
easat-4026	353	1	algebraic 𝐾-theory	PERSON
easat-4026	353	2	i, ii	WORK_OF_ART
easat-4026	353	3	boulder	GPE
easat-4026	353	4	colo.	GPE
easat-4026	353	5	1983	DATE
easat-4026	353	6	487–518	CARDINAL
easat-4026	354	1	amer	PERSON
easat-4026	355	1	ri	GPE
easat-4026	355	2	1986	DATE
easat-4026	356	1	8	CARDINAL
easat-4026	356	2	john d. s. jones	PERSON
easat-4026	359	1	34	CARDINAL
easat-4026	359	2	2	CARDINAL
easat-4026	360	1	256 283	CARDINAL
easat-4026	360	2	summer 1990	DATE
easat-4026	361	1	https://doi.org/10.1215/ijm/1255988267	PERSON
easat-4026	362	1	9	CARDINAL
easat-4026	362	2	k. fukaya	PERSON
easat-4026	362	3	morse homotopy	ORG
easat-4026	364	1	18	CARDINAL
easat-4026	365	1	1-102	CARDINAL
easat-4026	365	2	1993	DATE
easat-4026	366	1	10	CARDINAL
easat-4026	366	2	m. kontsevich	PERSON
easat-4026	366	3	120–139	CARDINAL
easat-4026	366	4	1995	DATE
easat-4026	366	5	alggeom/9411018	GPE
easat-4026	367	1	2576-8484	DATE
easat-4026	367	2	8	CARDINAL
easat-4026	368	1	6	CARDINAL
easat-4026	368	2	9472-9486	DATE
easat-4026	368	3	2024	CARDINAL
easat-4026	368	4	10.55214/25768484.v8i6.4026 ©	CARDINAL
easat-4026	368	5	2024	CARDINAL
easat-4026	369	1	11	CARDINAL
easat-4026	369	2	b. keller	PERSON
easat-4026	369	3	algebras	ORG
easat-4026	369	4	1	CARDINAL
easat-4026	369	5	999	CARDINAL
easat-4026	369	6	2, 2001	DATE
easat-4026	371	1	12	CARDINAL
easat-4026	371	2	p. seidel	PERSON
easat-4026	372	1	10	CARDINAL
easat-4026	372	2	3	CARDINAL
easat-4026	373	1	325	CARDINAL
easat-4026	373	2	september 2012	DATE
easat-4026	375	1	13	CARDINAL
easat-4026	375	2	a. h. noreldeen	PERSON
easat-4026	377	1	10	CARDINAL
easat-4026	377	2	3	CARDINAL
easat-4026	378	1	2639-2644, 2013	DATE
easat-4026	379	1	10.7537	CARDINAL
easat-4026	379	2	14	CARDINAL
easat-4026	379	3	a. h. noreldeen	PERSON
easat-4026	379	4	sci	ORG
easat-4026	379	5	afr.	PERSON
easat-4026	379	6	5	CARDINAL
easat-4026	379	7	2019	DATE
easat-4026	380	1	15	CARDINAL
easat-4026	380	2	adhikari	PERSON
easat-4026	380	3	algebraic	PERSON
easat-4026	381	1	new delhi	GPE
easat-4026	381	2	2016	DATE
easat-4026	383	1	16	CARDINAL
easat-4026	383	2	a. h. noreldeen	PERSON
easat-4026	383	3	e∞-algebras	ORG
easat-4026	384	1	14	DATE
easat-4026	384	2	4	CARDINAL
easat-4026	384	3	673-678	CARDINAL
easat-4026	384	4	2020	DATE
easat-4026	385	1	doi:10.18576	GPE
easat-4026	386	1	17	CARDINAL
easat-4026	386	2	a. h. noreldeen	PERSON
easat-4026	386	3	h. m. ali	PERSON
easat-4026	386	4	s. abo quota	PERSON
easat-4026	386	5	aust	GPE
easat-4026	387	1	j. math	PERSON
easat-4026	389	1	17	CARDINAL
easat-4026	389	2	2, 2020	DATE
easat-4026	390	1	1449-5910	DATE
easat-4026	392	1	18	CARDINAL
easat-4026	392	2	a. h. noreldeen	PERSON
easat-4026	392	3	algebras	PERSON
easat-4026	392	4	2012	DATE
easat-4026	392	5	article id 368527	LAW
easat-4026	392	6	13	CARDINAL
easat-4026	392	7	2012	DATE
easat-4026	394	1	19	CARDINAL
easat-4026	394	2	a. h. noreldeen mohamed	PERSON
easat-4026	395	1	14	DATE
easat-4026	395	2	3	CARDINAL
easat-4026	396	1	447	CARDINAL
easat-4026	396	2	2020	DATE
easat-4026	397	1	20	CARDINAL
easat-4026	397	2	s. witherspoon	PERSON
easat-4026	397	3	algebras	ORG
easat-4026	398	1	204	CARDINAL
easat-4026	400	1	2019	DATE
easat-4026	401	1	21	CARDINAL
easat-4026	401	2	a. h. noreldeen	PERSON
easat-4026	401	3	mahmoud saad	PERSON
easat-4026	401	4	z/2	PERSON
easat-4026	401	5	5	CARDINAL
easat-4026	401	6	1	CARDINAL
easat-4026	401	7	31	DATE
easat-4026	401	8	2017	DATE
easat-4026	402	1	e-issn	ORG
easat-4026	402	2	2321	CARDINAL
easat-4026	402	3	4767	CARDINAL
easat-4026	402	4	2321-4759	DATE
easat-4026	404	1	22	CARDINAL
easat-4026	404	2	s. v. lapin	PERSON
easat-4026	404	3	193	CARDINAL
easat-4026	404	4	1	CARDINAL
easat-4026	404	5	119142, 2002	DATE
easat-4026	406	1	23	CARDINAL
easat-4026	406	2	a. h. noreldeen	PERSON
easat-4026	406	3	13	CARDINAL
easat-4026	406	4	10, 2019	DATE
easat-4026	407	1	issn 1913-1844	PERSON
easat-4026	407	2	e-issn	ORG
easat-4026	407	3	1913-1852	DATE
easat-4026	409	1	24	CARDINAL
easat-4026	409	2	a. h. noreldeen	PERSON
easat-4026	409	3	w.m. mahmoud	PERSON
easat-4026	409	4	o. h. fathy	PERSON
easat-4026	409	5	9	CARDINAL
easat-4026	409	6	5	CARDINAL
easat-4026	410	1	639 647	CARDINAL
easat-4026	410	2	2021	DATE
easat-4026	411	1	10.13189	CARDINAL
easat-4026	412	1	25	CARDINAL
easat-4026	412	2	m. kozae	PERSON
easat-4026	412	3	samar a. a.	PERSON
easat-4026	412	4	a. h. noreldeen	PERSON
easat-4026	412	5	algebras	PERSON
easat-4026	412	6	10	CARDINAL
easat-4026	412	7	3	CARDINAL
easat-4026	413	1	468-476	CARDINAL
easat-4026	413	2	2022	CARDINAL
easat-4026	414	1	10.13189	CARDINAL
easat-4026	415	1	26	CARDINAL
easat-4026	415	2	r. penner	PERSON
easat-4026	415	3	2020	DATE
easat-4026	417	1	2262	DATE
easat-4026	418	1	cham.	GPE
easat-4026	418	2	2020	DATE
easat-4026	420	1	27	CARDINAL
easat-4026	420	2	a. h. noreldeen	PERSON
easat-4026	421	1	11	CARDINAL
easat-4026	421	2	12	CARDINAL
easat-4026	422	1	698-703	CARDINAL
easat-4026	422	2	2014	DATE
easat-4026	423	1	10.7537	CARDINAL
easat-4026	423	2	28	CARDINAL
easat-4026	423	3	a. h. noreldeen	PERSON
easat-4026	423	4	algebras	ORG
easat-4026	423	5	7	CARDINAL
easat-4026	424	1	1	CARDINAL
easat-4026	424	2	2020	DATE
easat-4026	425	1	29	CARDINAL
easat-4026	425	2	w. johannes	PERSON
easat-4026	425	3	universität regensburg	GPE
easat-4026	425	4	93040	CARDINAL
easat-4026	425	5	regensburg	GPE
easat-4026	425	6	germany	GPE
easat-4026	425	7	1	CARDINAL
easat-4026	425	8	2022	CARDINAL
easat-4026	427	1	30	CARDINAL
easat-4026	427	2	m. wodzicki	PERSON
easat-4026	427	3	algebraic k-theory	PERSON
easat-4026	427	4	129	CARDINAL
easat-4026	427	5	3	CARDINAL
easat-4026	428	1	591–639, 1989	DATE
easat-4026	430	1	31	CARDINAL
easat-4026	430	2	m. wodzicki	PERSON
easat-4026	430	3	algebraic k-theory	PERSON
easat-4026	430	4	129	CARDINAL
easat-4026	430	5	3, 1989	DATE
easat-4026	431	1	591–639	CARDINAL
easat-4026	431	2	2024	DATE
easat-4026	433	1	32	CARDINAL
easat-4026	433	2	2019	DATE
easat-4026	435	1	33	CARDINAL
easat-4026	435	2	w.m. mahmoud	PERSON
easat-4026	435	3	a.h. noreldeen	PERSON
easat-4026	435	4	fathy	GPE
easat-4026	435	5	samar a.a.	PERSON
easat-4026	435	6	algebras	ORG
easat-4026	435	7	african	NORP
easat-4026	435	8	25	CARDINAL
easat-4026	435	9	e02288	NORP
easat-4026	437	1	34	CARDINAL
easat-4026	437	2	a. h. noreldeen	PERSON
easat-4026	437	3	samar a. a.	PERSON
easat-4026	437	4	o. h. fathy	PERSON
easat-4026	437	5	w. m. mahmoud	PERSON
easat-4026	437	6	algebras	PERSON
easat-4026	437	7	african	NORP
easat-4026	437	8	september 2024	DATE