List questions from projective-module

Published on 29 Mar 2026 - 6:28

469

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Showing that the character module $P^*$ is injective whenever $P$ is projective

Published on 27 Mar 2026 - 15:07

97

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How to show: $\text{Hom}_\Lambda(P,M) \neq 0 \iff P/\underline{r}P \text{ is a composition factor of $M$}$

Published on 06 Jun 2017 - 10:11

323

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Analogue of Baer's Criterion for Projective Modules

Published on 27 Mar 2026 - 11:46

22

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Fibrewise characterization of projectives

Published on 08 Jun 2017 - 20:55

54

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$P_R$ is projective and local $\implies$ $End_R(P)$ is local

Published on 11 Jun 2017 - 10:59

90

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A projective simplicial object

Published on 29 Mar 2026 - 3:44

91

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Coefficients of characteristic polynomials for projective modules

Published on 18 Jun 2017 - 22:30

430

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Projective resolution of $\mathbb{Z}/(d)$ as a $\mathbb{Z}/(n)$-module

Published on 19 Jun 2017 - 6:42

921

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Is every $S^{-1}A$-module the localization of an $A$-module?

Published on 25 Jun 2017 - 0:08

263

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Projective Modules problems

Published on 25 Jun 2017 - 23:23

1k

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Prove that $\mathbb{Q}$ is not projective using the Hom functor

Published on 01 Jul 2017 - 4:54

54

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Projective linear space and a notion of generating property

Published on 09 Jul 2017 - 23:36

259

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Projective dimension 2 and maps out of torsion module

Published on 10 Jul 2017 - 6:50

63

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A certain property of a separable ring extension $A \subseteq B$ with $Q(A) \cap B=A$

Published on 20 Jul 2017 - 0:11

List Question

Tensor product of free modules

Showing that the character module $P^*$ is injective whenever $P$ is projective

How to show: $\text{Hom}_\Lambda(P,M) \neq 0 \iff P/\underline{r}P \text{ is a composition factor of $M$}$

Analogue of Baer's Criterion for Projective Modules

Fibrewise characterization of projectives

$P_R$ is projective and local $\implies$ $End_R(P)$ is local

A projective simplicial object

Coefficients of characteristic polynomials for projective modules

Projective resolution of $\mathbb{Z}/(d)$ as a $\mathbb{Z}/(n)$-module

Is every $S^{-1}A$-module the localization of an $A$-module?

Projective Modules problems

Prove that $\mathbb{Q}$ is not projective using the Hom functor

Projective linear space and a notion of generating property

Projective dimension 2 and maps out of torsion module

A certain property of a separable ring extension $A \subseteq B$ with $Q(A) \cap B=A$

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