List questions from homological-algebra

Published on 30 Mar 2026 - 6:48

52

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$(A[1])^{\otimes n}\backsimeq (A^{\otimes n})[n]$?

Published on 26 Feb 2019 - 14:53

101

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The twisted tensor product $BA\otimes_{\tau} A$ as the non-unital Hochschild complex

Published on 20 Mar 2026 - 4:02

243

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Bimodule structure on $\mathrm{Ext}_R^n(M,N)$

Published on 26 Mar 2026 - 9:48

971

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Finding a mistake using Mayer-Vietoris

Published on 28 Feb 2019 - 14:35

133

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Clarifying a step in an answer about exterior products of coherent sheaves

Published on 25 Mar 2026 - 9:43

306

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Describing $\mathrm{Ext}^1_R (R/J, R/J )$

Published on 25 Mar 2026 - 7:42

158

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On $\mathrm{Ext}_R^n(V,M)$ and $\mathrm{Tor}^R_n (V,M)$, where $M$ is an $R$-module with non-zero annihilator and $V$ is a $Q(R)$-vector space

Published on 25 Mar 2026 - 6:06

358

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Regarding condition $AB5$

Published on 05 Mar 2019 - 7:07

674

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Snake lemma without elements – exactness

Published on 05 Mar 2019 - 9:17

104

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On derived functors of certain $\operatorname{Tor}_1$ and $\operatorname{Ext}^1$

Published on 25 Mar 2026 - 6:06

97

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Left derived functors vanish on a projective.

Published on 25 Mar 2026 - 6:00

76

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Creating my own "Category Diagram Database" with query language.

Published on 25 Mar 2026 - 10:52

180

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Can someone please explain the map $S:C_n(X) \to C_n(X)$ from Hatcher's AT page 122?

Published on 06 Mar 2019 - 23:24

691

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Direct limit of directed system of modules commutes with right derived functors of additive, covariant, left exact functor?

Published on 25 Mar 2026 - 6:07

List Question

How do the chain maps $f_\sharp$ induce a homomorphism $f_*:H_n(X) \to H_n(Y)$?

$(A[1])^{\otimes n}\backsimeq (A^{\otimes n})[n]$?

The twisted tensor product $BA\otimes_{\tau} A$ as the non-unital Hochschild complex

Bimodule structure on $\mathrm{Ext}_R^n(M,N)$

Finding a mistake using Mayer-Vietoris

Clarifying a step in an answer about exterior products of coherent sheaves

Describing $\mathrm{Ext}^1_R (R/J, R/J )$

On $\mathrm{Ext}_R^n(V,M)$ and $\mathrm{Tor}^R_n (V,M)$, where $M$ is an $R$-module with non-zero annihilator and $V$ is a $Q(R)$-vector space

Regarding condition $AB5$

Snake lemma without elements – exactness

On derived functors of certain $\operatorname{Tor}_1$ and $\operatorname{Ext}^1$

Left derived functors vanish on a projective.

Creating my own "Category Diagram Database" with query language.

Can someone please explain the map $S:C_n(X) \to C_n(X)$ from Hatcher's AT page 122?

Direct limit of directed system of modules commutes with right derived functors of additive, covariant, left exact functor?

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