List questions from projective-module

Published on 26 Mar 2026 - 2:59

108

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Trouble calculating projective modules

Published on 03 May 2026 - 8:16

396

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Direct sums of modules versus products

Published on 14 Apr 2026 - 20:37

73

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Two quotients of projective modules are equal, prove the crossed direct sums of the projective modules and kernels are isomorphic. (Schanuel's Lemma)

Published on 07 Apr 2026 - 4:58

348

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Proving $\Bbb Z_p$ has no projective cover.

Published on 07 May 2026 - 19:14

176

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If $P$ is projective and $A,B$ are direct summands of $P$ then $A\cap B$ is a direct summand of $P$

Published on 17 Apr 2026 - 8:58

74

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Help/Verification of Ext group calculation

Published on 29 Mar 2026 - 11:45

152

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Different definition of $K_0(R)$. Prove equivalence

Published on 29 Mar 2026 - 11:48

73

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If $M$ and $N$ are simple $R$-modules, and there is nonzero map from projective cover $P_N\to M$, is $N\cong M$?

Published on 23 Apr 2026 - 6:43

44

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Weakest condition on module such that free prime localizations imply projective?

Published on 29 Mar 2026 - 11:42

225

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Dual, Projective Modules, and Isomorphisms

Published on 29 Mar 2026 - 11:42

204

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Are finitely generated projective models of an algebraic theory always finitely presented?

Published on 07 May 2026 - 8:06

171

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$P\cong P^\ast$ iff $P$ is a f.g projective module?

Published on 28 Mar 2026 - 12:14

572

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When is the localization of a commutative ring a finitely generated projective module?

Published on 29 Mar 2026 - 11:43

152

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$k[x]\otimes k[x]$ as a right $k[x]$-module

Published on 29 Mar 2026 - 11:43

List Question

Projective but not free module over groupring

Trouble calculating projective modules

Direct sums of modules versus products

Two quotients of projective modules are equal, prove the crossed direct sums of the projective modules and kernels are isomorphic. (Schanuel's Lemma)

Proving $\Bbb Z_p$ has no projective cover.

If $P$ is projective and $A,B$ are direct summands of $P$ then $A\cap B$ is a direct summand of $P$

Help/Verification of Ext group calculation

Different definition of $K_0(R)$. Prove equivalence

If $M$ and $N$ are simple $R$-modules, and there is nonzero map from projective cover $P_N\to M$, is $N\cong M$?

Weakest condition on module such that free prime localizations imply projective?

Dual, Projective Modules, and Isomorphisms

Are finitely generated projective models of an algebraic theory always finitely presented?

$P\cong P^\ast$ iff $P$ is a f.g projective module?

When is the localization of a commutative ring a finitely generated projective module?

$k[x]\otimes k[x]$ as a right $k[x]$-module

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