List questions from modules

Published on 15 Apr 2026 - 12:26

39

Views

Why can we assume the constant in the linear factors of the elementary divisors of a $F[x]$-module $V$ is an eigenvalue?

Published on 11 Apr 2026 - 22:33

61

Views

Showing an abelian pro-$p$ group is a $\mathbb{Z}_p$ module

Published on 13 Apr 2026 - 9:12

47

Views

Showing that M is a simple left R-module iff there exists a maximal left ideal $I_M$ of R such that M and $_RR/I_M$ are isomorphic as left R-modules

Published on 17 Apr 2026 - 13:57

45

Views

Help with relation between $G$-modules and representations.

Published on 12 Apr 2026 - 7:24

81

Views

Composition Series and Composition Factors.

Published on 09 Apr 2026 - 3:53

66

Views

Presentation of $(xy)$ as a $\mathbb{Z}[x,y]$-module.

Published on 15 Apr 2026 - 4:23

49

Views

If Ann(n)=P where P is a prime ideal, then there exists $a \in R-P$ such that $an=0$

Published on 15 Apr 2026 - 13:04

36

Views

Problem about submodule of $Frac(A)$ generated by inverses of powers of $x$ being finitely generated

Published on 11 Apr 2026 - 7:04

44

Views

Prove if $S \subseteq Ass_N(M)$ then their exist a submodule $N$ such that $Ass_R(N)=S$.

Published on 16 Apr 2026 - 18:48

119

Views

Is $C$ projective as $C[x]$ module?

Published on 11 Apr 2026 - 16:12

29

Views

Name for module that's a product of all nontrivial prime ideals

Published on 13 Apr 2026 - 6:58

53

Views

A Noetherian-as-a-module ring is Noetherian as a ring?

Published on 14 Apr 2026 - 23:55

43

Views

How to understand the period in submodules

Published on 09 Apr 2026 - 18:14

101

Views

Examples of decomposition of torsion modules

Published on 14 Apr 2026 - 21:21

List Question

Finite Dimensional Simple Modules

Why can we assume the constant in the linear factors of the elementary divisors of a $F[x]$-module $V$ is an eigenvalue?

Showing an abelian pro-$p$ group is a $\mathbb{Z}_p$ module

Showing that M is a simple left R-module iff there exists a maximal left ideal $I_M$ of R such that M and $_RR/I_M$ are isomorphic as left R-modules

Help with relation between $G$-modules and representations.

Composition Series and Composition Factors.

Presentation of $(xy)$ as a $\mathbb{Z}[x,y]$-module.

If Ann(n)=P where P is a prime ideal, then there exists $a \in R-P$ such that $an=0$

Problem about submodule of $Frac(A)$ generated by inverses of powers of $x$ being finitely generated

Prove if $S \subseteq Ass_N(M)$ then their exist a submodule $N$ such that $Ass_R(N)=S$.

Is $C$ projective as $C[x]$ module?

Name for module that's a product of all nontrivial prime ideals

A Noetherian-as-a-module ring is Noetherian as a ring?

How to understand the period in submodules

Examples of decomposition of torsion modules

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