List questions from modules

Published on 27 Sep 2019 - 12:04

406

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Module is semisimple if and only if M is the sum of simple submodules.

Published on 23 Feb 2026 - 2:11

36

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Prove the modules isomorphism theorem

Published on 25 Mar 2026 - 9:45

101

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Prove ${\sqrt {\operatorname {ann}_{R}(M)}}=\bigcap _{{{\mathfrak {p}}\in \operatorname {supp}M}}{\mathfrak {p}}$ for a finitely generated module $M$

Published on 28 Sep 2019 - 19:58

294

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Help in understanding a sheaf of modules over $\mathcal{R}$

Published on 28 Mar 2026 - 1:35

211

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Projection of Submodules

Published on 26 Mar 2026 - 10:56

181

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Associated basis of a free module

Published on 25 Mar 2026 - 15:11

37

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Basis for the set of functions $f$ that vanish for $n \geq N_f \in \Bbb{N}$.

Published on 27 Mar 2026 - 17:53

337

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Is the Image of a projective module still a projective module?

Published on 27 Mar 2026 - 12:03

78

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Boundary Homomorphism (2)

Published on 25 Mar 2026 - 12:52

95

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Definition of finitely presented $R$-module

Published on 01 Oct 2019 - 15:16

39

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characterization of the torsion module over a module

Published on 01 Oct 2019 - 15:52

95

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$Rx/R\alpha x $ is isomorphic to $R/\alpha R$

Published on 01 Oct 2019 - 22:19

183

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associated $\mathbb{C}[t]$- module is cyclic iff cyclic vector exists

Published on 11 Mar 2014 - 21:00

149

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Simple $R$-module

Published on 31 Mar 2026 - 10:09

List Question

Application of Module theory

Module is semisimple if and only if M is the sum of simple submodules.

Prove the modules isomorphism theorem

Prove ${\sqrt {\operatorname {ann}_{R}(M)}}=\bigcap _{{{\mathfrak {p}}\in \operatorname {supp}M}}{\mathfrak {p}}$ for a finitely generated module $M$

Help in understanding a sheaf of modules over $\mathcal{R}$

Projection of Submodules

Associated basis of a free module

Basis for the set of functions $f$ that vanish for $n \geq N_f \in \Bbb{N}$.

Is the Image of a projective module still a projective module?

Boundary Homomorphism (2)

Definition of finitely presented $R$-module

characterization of the torsion module over a module

$Rx/R\alpha x $ is isomorphic to $R/\alpha R$

associated $\mathbb{C}[t]$- module is cyclic iff cyclic vector exists

Simple $R$-module

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