List questions from projective-module

77

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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 14 Apr 2026 - 9:16

306

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A consequence of Schanuel's lemma

Published on 14 May 2026 - 6:59

86

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

Published on 10 May 2026 - 22:05

240

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

Published on 16 Apr 2026 - 15:11

86

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projective module, The module not projective

Published on 15 Apr 2026 - 6:22

156

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When are indecomposable projective modules finitely generated?

Published on 10 May 2026 - 18:41

133

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

Published on 14 May 2026 - 11:42

443

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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 11 May 2026 - 2:50

384

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Submodules of modules of finite projective dimension over regular ring

Published on 29 Apr 2026 - 12:42

532

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Projective module vs. Free module: dual basis lemma

Published on 12 Apr 2026 - 19:18

99

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About lattice of finitely generated projective module

Published on 09 Apr 2026 - 3:40

77

Views

About Inner product space

Published on 10 Apr 2026 - 20:19

98

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About symmetric inner product space

Published on 12 Apr 2026 - 23:25

4.5k

Views

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

Published on 13 Apr 2026 - 18:38

82

Views

On a special type of Noetherian regular rings

Published on 06 May 2026 - 22:36

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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