List questions from projective-module

Published on 13 May 2026 - 18:42

288

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Projective objects of chain category

Published on 27 Apr 2026 - 7:04

194

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Prove that $\operatorname{Ext}^{d+1}(A, B)\cong \operatorname{Ext}^1(M_d,B)$

Published on 29 Mar 2026 - 13:27

880

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projective resolution of finitely generated modules

Published on 29 Mar 2026 - 13:22

2.6k

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Prove that every $\mathbb{Z}/6\mathbb{Z}$-module is projective and injective. Find a $\mathbb{Z}/4\mathbb{Z}$-module that is neither.

Published on 01 Apr 2026 - 0:02

110

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Left vs right projective resolutions and homology of monoids

Published on 27 Mar 2026 - 16:47

48

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On the equivalence condition of p.p. rings

Published on 26 Mar 2026 - 22:15

515

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Grouping Problem

Published on 27 Apr 2026 - 15:40

441

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Are torsion-free modules over principal ideal domains/Dedekind domains projective

Published on 26 Mar 2026 - 12:53

2.2k

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definitition of projective resolution of $R$-modules (with homology)

Published on 29 Mar 2026 - 13:27

148

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How to prove the following sequence is exact?

Published on 27 Mar 2026 - 3:49

187

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Analogue of the trivial extension for higher Ext.

Published on 29 Mar 2026 - 13:27

637

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Is $\mathbb{R}$ a projective $\mathbb{Z}$-module?

Published on 29 Mar 2026 - 13:21

31

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on the splitting of a presentation

Published on 29 Mar 2026 - 13:23

345

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Let $e \in R$ be an idempotent. Show $Re$ is a projective $R$-module.

Published on 29 Mar 2026 - 13:27

List Question

Can you prove that over a division ring , every module is both projective and injective?

Projective objects of chain category

Prove that $\operatorname{Ext}^{d+1}(A, B)\cong \operatorname{Ext}^1(M_d,B)$

projective resolution of finitely generated modules

Prove that every $\mathbb{Z}/6\mathbb{Z}$-module is projective and injective. Find a $\mathbb{Z}/4\mathbb{Z}$-module that is neither.

Left vs right projective resolutions and homology of monoids

On the equivalence condition of p.p. rings

Grouping Problem

Are torsion-free modules over principal ideal domains/Dedekind domains projective

definitition of projective resolution of $R$-modules (with homology)

How to prove the following sequence is exact?

Analogue of the trivial extension for higher Ext.

Is $\mathbb{R}$ a projective $\mathbb{Z}$-module?

on the splitting of a presentation

Let $e \in R$ be an idempotent. Show $Re$ is a projective $R$-module.

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