List questions from homological-algebra

Published on 13 Apr 2026 - 21:08

284

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Finitely generated free module is projective.

Published on 10 May 2026 - 19:13

70

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How to recover an extension via the Ext functor

Published on 14 Apr 2026 - 11:41

533

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The derived category is additive

Published on 26 Apr 2026 - 1:08

298

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How does one define projective dimension in terms of the Ext functor?

Published on 16 Apr 2026 - 22:12

45

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Let $R=\mathbb{Z}[x]$. Calculate $\operatorname{Hom}_R(R/(2x),R/(4))$

Published on 12 Apr 2026 - 1:09

648

Views

The homology of the Klein bottle and the projective plane: relation between homotopy of paths and homology classes

Published on 14 Apr 2026 - 13:01

121

Views

Inverse limit of epics in abelian category

Published on 17 Apr 2026 - 0:11

551

Views

Is every homology map induced by a chain map

Published on 11 Apr 2026 - 14:42

196

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Odd tangent bundle is the same as mapping stack from shifted affine line?

Published on 15 Apr 2026 - 0:27

112

Views

On cohomology of flasque sheaves of abelian groups

Published on 11 May 2026 - 4:23

165

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On the $H^{\ast}$-module structure on homology group

Published on 09 Apr 2026 - 13:24

61

Views

Cohen-Macaulay ring without non-trivial idempotent is homomorphic image of Noetherian domain?

Published on 10 May 2026 - 21:32

1.2k

Views

Homological algebra using nonabelian groups

Published on 11 Apr 2026 - 3:24

79

Views

Filtration in crystalline Poincaré Lemma

Published on 10 May 2026 - 16:01

List Question

How to prove snake lemma in abelian categories without invoking Mitchell's embedding theorem?

Finitely generated free module is projective.

How to recover an extension via the Ext functor

The derived category is additive

How does one define projective dimension in terms of the Ext functor?

Let $R=\mathbb{Z}[x]$. Calculate $\operatorname{Hom}_R(R/(2x),R/(4))$

The homology of the Klein bottle and the projective plane: relation between homotopy of paths and homology classes

Inverse limit of epics in abelian category

Is every homology map induced by a chain map

Odd tangent bundle is the same as mapping stack from shifted affine line?

On cohomology of flasque sheaves of abelian groups

On the $H^{\ast}$-module structure on homology group

Cohen-Macaulay ring without non-trivial idempotent is homomorphic image of Noetherian domain?

Homological algebra using nonabelian groups

Filtration in crystalline Poincaré Lemma

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