List questions from homological-algebra

Published on 25 Mar 2026 - 18:44

73

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Why do the finitely generated subsheaves of a sheaf form a directed system?

Published on 23 Mar 2026 - 2:29

261

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Example of a nongraded chain complex

Published on 23 Mar 2026 - 13:07

99

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Questions about tensor products

Published on 25 Mar 2026 - 20:12

115

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Unclear step on the calculation of a homology group.

Published on 25 Mar 2026 - 19:51

225

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Proof of equivalence of two definitions of a projective module

Published on 22 Mar 2026 - 15:56

571

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composition series and short exact sequences

Published on 25 Mar 2026 - 21:46

97

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Induced isomorphism of cohomology group implies induced isomorphism of cohomology with any coefficient

Published on 25 Mar 2026 - 23:11

386

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Showing induced action of G by conjugation on Hochschild-Serre $H_i(G/N, H_j(N,M))$ is trivial

Published on 23 Mar 2026 - 11:06

115

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First part of the restriction map $H_{j}(G,A)\to H_{j}(H,A)$ on group homology

Published on 25 Mar 2026 - 17:32

606

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Significance of adjoint relationship with Ext instead of Hom

Published on 27 Mar 2026 - 6:32

497

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Is the direct sum of a quotient space with its quotient isomorphic to the original space?

Published on 19 Feb 2018 - 19:43

64

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Opposite effective classes in a Grothendieck group

Published on 22 Mar 2026 - 18:38

109

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A question over Gorenstein local rings

Published on 28 Mar 2026 - 10:17

300

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Motivation for the standard resolution in group cohomology

Published on 25 Mar 2026 - 15:42

List Question

completion of Ext

Why do the finitely generated subsheaves of a sheaf form a directed system?

Example of a nongraded chain complex

Questions about tensor products

Unclear step on the calculation of a homology group.

Proof of equivalence of two definitions of a projective module

composition series and short exact sequences

Induced isomorphism of cohomology group implies induced isomorphism of cohomology with any coefficient

Showing induced action of G by conjugation on Hochschild-Serre $H_i(G/N, H_j(N,M))$ is trivial

First part of the restriction map $H_{j}(G,A)\to H_{j}(H,A)$ on group homology

Significance of adjoint relationship with Ext instead of Hom

Is the direct sum of a quotient space with its quotient isomorphic to the original space?

Opposite effective classes in a Grothendieck group

A question over Gorenstein local rings

Motivation for the standard resolution in group cohomology

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