List questions from projective-module

Published on 10 May 2026 - 14:04

179

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Elementary ideals of a module are generated by minor matrices of the relation matrix

Published on 14 Apr 2026 - 4:23

27

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Thus $O[G$ \ $ H]$ is projective as an $O(P × P)$-module.

Published on 15 Apr 2026 - 8:46

312

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$Hom_R(P,P)$ is projective if $P$ is projective.

Published on 15 Apr 2026 - 15:18

75

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Does the notion of projective/injective dimension exist for chain complexes?

Published on 11 May 2026 - 2:47

427

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When do projective modules give generators?

Published on 12 Apr 2026 - 1:54

174

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Are projective modules extended under surjective map

Published on 11 Apr 2026 - 22:30

110

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Projective module of rank n and faithfully flat R-algebra

Published on 16 Apr 2026 - 14:20

45

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If $G=\bigoplus_i\Bbb Z/p_i^{n_i}\Bbb Z$, then for which integers $r\neq\pm 1$ is $G=Gr$?

Published on 15 Apr 2026 - 0:32

96

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Tensor products, projectivity, and subrings

Published on 16 Apr 2026 - 21:22

81

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Link projective resolution and length

Published on 13 Apr 2026 - 17:42

460

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Dual of a finitely generated projective module is again finitely generated and projective.

Published on 11 Apr 2026 - 17:32

71

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Prove that $f_a:M\to M,m\mapsto ma$ is an isomorphism whenever it injective iff there is nonzero linear map $f:Ε\to Μ$ with $Ε$ injective.

Published on 16 Apr 2026 - 16:03

31

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Injectivity or projectivity criterion in modules and model categories

Published on 17 Apr 2026 - 3:22

60

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Understanding the Proof of Maschkes's Theorem

Published on 11 May 2026 - 7:49

List Question

How do projective indecomposable bimodules look like?

Elementary ideals of a module are generated by minor matrices of the relation matrix

Thus $O[G$ \ $ H]$ is projective as an $O(P × P)$-module.

$Hom_R(P,P)$ is projective if $P$ is projective.

Does the notion of projective/injective dimension exist for chain complexes?

When do projective modules give generators?

Are projective modules extended under surjective map

Projective module of rank n and faithfully flat R-algebra

If $G=\bigoplus_i\Bbb Z/p_i^{n_i}\Bbb Z$, then for which integers $r\neq\pm 1$ is $G=Gr$?

Tensor products, projectivity, and subrings

Link projective resolution and length

Dual of a finitely generated projective module is again finitely generated and projective.

Prove that $f_a:M\to M,m\mapsto ma$ is an isomorphism whenever it injective iff there is nonzero linear map $f:Ε\to Μ$ with $Ε$ injective.

Injectivity or projectivity criterion in modules and model categories

Understanding the Proof of Maschkes's Theorem

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