List questions from modules

Published on 16 Oct 2018 - 14:35

63

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commutative Noetherian ring whose every maximal ideal is projective

Published on 25 Mar 2026 - 4:36

64

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When $P\otimes_R M \to R \otimes_R M$ is injective for every (finitely generated) prime ideals $P$ of $R$?

Published on 25 Mar 2026 - 6:22

29

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On ideal and tensor product , retaining injectivity

Published on 18 Oct 2018 - 22:40

60

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Another question on ideal and tensor product

Published on 18 Oct 2018 - 22:42

167

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Trivial module functor is $\text{Hom}_\Bbb Z(\Bbb Z,-)$

Published on 28 Mar 2026 - 14:55

634

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how to prove a graded version of Nakayama's lemma

Published on 21 Oct 2018 - 14:55

535

Views

Is the category of finite-dimensional $k[x]$-modules a comodule category?

Published on 25 Mar 2026 - 12:54

36

Views

What is $S^{-1}N$ in $S^{-1}M$?

Published on 26 Mar 2026 - 1:10

464

Views

Nilpotent Action of an Ad-Nilpotent Element of $\mathfrak{sl}_2(\mathbb{C})$

Published on 28 Mar 2026 - 0:56

116

Views

faithful $R$-module same as $R$ acting faithfully?

Published on 24 Oct 2018 - 14:23

255

Views

Proving an $R$-module isomorphism is in fact an $R/I$-module isomorphism using universal properties.

Published on 24 Oct 2018 - 20:15

779

Views

Finitely generated module over $\mathbb Z$

Published on 27 Mar 2026 - 12:02

1.1k

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Intuition for definition of projective module

Published on 26 Mar 2026 - 19:37

46

Views

Polynomial Dividing a Series

Published on 25 Oct 2018 - 2:43

List Question

Sub-$\mathbb{Z}$-modules of $\mathbb{Q}$

commutative Noetherian ring whose every maximal ideal is projective

When $P\otimes_R M \to R \otimes_R M$ is injective for every (finitely generated) prime ideals $P$ of $R$?

On ideal and tensor product , retaining injectivity

Another question on ideal and tensor product

Trivial module functor is $\text{Hom}_\Bbb Z(\Bbb Z,-)$

how to prove a graded version of Nakayama's lemma

Is the category of finite-dimensional $k[x]$-modules a comodule category?

What is $S^{-1}N$ in $S^{-1}M$?

Nilpotent Action of an Ad-Nilpotent Element of $\mathfrak{sl}_2(\mathbb{C})$

faithful $R$-module same as $R$ acting faithfully?

Proving an $R$-module isomorphism is in fact an $R/I$-module isomorphism using universal properties.

Finitely generated module over $\mathbb Z$

Intuition for definition of projective module

Polynomial Dividing a Series

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