List questions from projective-module

74

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If $R$ is a domain which is not a field and $M$ is an $R$-module for which $\bigcap_{r\in R\setminus \{0\}} rM \neq 0$, show $M$ is not projective.

Published on 03 Mar 2019 - 20:01

302

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A consequence of Schanuel's lemma

Published on 26 Mar 2026 - 1:28

83

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Why is $\Omega (M)$ a superfluous submodule?

Published on 25 Mar 2026 - 13:53

237

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Vanishing of $\mathrm{Ext}$ and finite projective dimension

Published on 13 Mar 2019 - 21:34

83

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projective module, The module not projective

Published on 16 Mar 2019 - 9:51

153

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When are indecomposable projective modules finitely generated?

Published on 25 Mar 2026 - 23:35

128

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Projective Resolution of exterior algebra as a module over divided polynomial algebra

Published on 26 Mar 2026 - 8:21

440

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If the dual of a module is finitely generated and projective, can we claim that the module itself is?

Published on 25 Mar 2026 - 13:56

375

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Submodules of modules of finite projective dimension over regular ring

Published on 20 Mar 2026 - 9:01

529

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Projective module vs. Free module: dual basis lemma

Published on 26 Mar 2019 - 14:58

96

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About lattice of finitely generated projective module

Published on 27 Mar 2019 - 12:09

74

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About Inner product space

Published on 27 Mar 2019 - 16:48

94

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About symmetric inner product space

Published on 28 Mar 2019 - 15:13

4.5k

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$M$ is projective iff $M$ is locally free

Published on 30 Mar 2019 - 1:27

70

Views

On a special type of Noetherian regular rings

Published on 22 Mar 2026 - 15:29

List Question

If $R$ is a domain which is not a field and $M$ is an $R$-module for which $\bigcap_{r\in R\setminus \{0\}} rM \neq 0$, show $M$ is not projective.

A consequence of Schanuel's lemma

Why is $\Omega (M)$ a superfluous submodule?

Vanishing of $\mathrm{Ext}$ and finite projective dimension

projective module, The module not projective

When are indecomposable projective modules finitely generated?

Projective Resolution of exterior algebra as a module over divided polynomial algebra

If the dual of a module is finitely generated and projective, can we claim that the module itself is?

Submodules of modules of finite projective dimension over regular ring

Projective module vs. Free module: dual basis lemma

About lattice of finitely generated projective module

About Inner product space

About symmetric inner product space

$M$ is projective iff $M$ is locally free

On a special type of Noetherian regular rings

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