List questions from modules

Published on 07 Jun 2018 - 16:42

92

Views

Classification of homomorphism as abelian group

Published on 26 Mar 2026 - 0:12

56

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About equivalent formulations of right exact sequences

Published on 25 Mar 2026 - 4:38

187

Views

I can't really understand the first half of this author's argument

Published on 09 Jun 2018 - 6:23

88

Views

The number of non-zero direct summands in a ring direct decomposition

Published on 27 Mar 2026 - 4:06

647

Views

Isomorphic Free $R$-module has Universal Property

Published on 25 Mar 2026 - 0:00

187

Views

Group cohomology $G$-module $M$, with $M$ non-abelian?

Published on 25 Mar 2026 - 18:56

65

Views

Are the $k[x]$-modules $M = k[x]/\langle x + 1 \rangle \oplus k[x]/\langle x + 1 \rangle $ and $N = k[x]/\langle (x + 1)^2 \rangle$ isomorphic?

Published on 19 Mar 2026 - 17:53

46

Views

On the definition of a module

Published on 12 Jun 2018 - 10:27

125

Views

Show that Jordan Block $\iff V$ isomorphic to $K[X]/(X-\lambda)^{n}$ as a $K[X]$-Module

Published on 25 Mar 2026 - 13:55

769

Views

If $Q$ is injective, then $\text{Hom}_{\mathbb Z}(R, Q)$ is injective.

Published on 25 Mar 2026 - 9:36

30

Views

General version of Cramer's rule

Published on 16 Jun 2018 - 9:58

1.4k

Views

Submodule Criterion for Rings without 1

Published on 16 Jun 2018 - 20:52

2.6k

Views

The mysterious isomorphism between coinduction and induction

Published on 25 Mar 2026 - 1:36

338

Views

Groups $G$ for which every finitely generated $\mathbb{Z}G$-module is Hopfian

Published on 23 Feb 2026 - 13:35

List Question

$K[X]$-Module $K[X]/(p)$ explanation for a beginner

Classification of homomorphism as abelian group

About equivalent formulations of right exact sequences

I can't really understand the first half of this author's argument

The number of non-zero direct summands in a ring direct decomposition

Isomorphic Free $R$-module has Universal Property

Group cohomology $G$-module $M$, with $M$ non-abelian?

Are the $k[x]$-modules $M = k[x]/\langle x + 1 \rangle \oplus k[x]/\langle x + 1 \rangle $ and $N = k[x]/\langle (x + 1)^2 \rangle$ isomorphic?

On the definition of a module

Show that Jordan Block $\iff V$ isomorphic to $K[X]/(X-\lambda)^{n}$ as a $K[X]$-Module

If $Q$ is injective, then $\text{Hom}_{\mathbb Z}(R, Q)$ is injective.

General version of Cramer's rule

Submodule Criterion for Rings without 1

The mysterious isomorphism between coinduction and induction

Groups $G$ for which every finitely generated $\mathbb{Z}G$-module is Hopfian

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