List questions from modules

Published on 26 Sep 2014 - 20:22

186

Views

Making a module a vector space

Published on 27 Sep 2014 - 5:06

282

Views

Any artinian chain ring is self-injective.

Published on 26 Mar 2026 - 1:00

785

Views

Show that $k[x]/(x^{2})$ is an indecomposable (1), but not irreducible (2) $k[x]$-module.

Published on 27 Sep 2014 - 14:56

102

Views

A question on endomorphisms of an injective module

Published on 26 Mar 2026 - 1:07

531

Views

$0 \to L \to M \to N \to 0$ is a short exact sequence. $M$ is Noetherian $\iff$ $L$ and $N$ are Noetherian

Published on 26 Mar 2026 - 1:04

180

Views

"Adjugate" of an endomorphism of a finite-rank free module

Published on 26 Mar 2026 - 4:53

338

Views

If $P \in \operatorname{Ass}M$, then $R/P \subset M$.

Published on 02 Apr 2026 - 7:33

101

Views

Example of a ring $R$ such that $R\otimes_R R\not\simeq R$

Published on 01 Apr 2026 - 8:42

1.2k

Views

Submodule iff subgroup?

Published on 29 Mar 2026 - 3:18

396

Views

Tensor Product, Exterior Power and Splitting

Published on 26 Mar 2026 - 12:53

227

Views

A relation involving an endomorphism of a finitely generated module

Published on 26 Mar 2026 - 13:01

324

Views

Rings in which every maximal ideal is a direct sum of cyclic modules

Published on 02 Apr 2026 - 7:39

81

Views

A relation in a finitely generated module

Published on 02 Apr 2026 - 7:40

203

Views

Module notation

Published on 01 Oct 2014 - 14:13

List Question

Show the module of continuous functions of antiperiod $\pi$ is not cyclic.

Making a module a vector space

Any artinian chain ring is self-injective.

Show that $k[x]/(x^{2})$ is an indecomposable (1), but not irreducible (2) $k[x]$-module.

A question on endomorphisms of an injective module

$0 \to L \to M \to N \to 0$ is a short exact sequence. $M$ is Noetherian $\iff$ $L$ and $N$ are Noetherian

"Adjugate" of an endomorphism of a finite-rank free module

If $P \in \operatorname{Ass}M$, then $R/P \subset M$.

Example of a ring $R$ such that $R\otimes_R R\not\simeq R$

Submodule iff subgroup?

Tensor Product, Exterior Power and Splitting

A relation involving an endomorphism of a finitely generated module

Rings in which every maximal ideal is a direct sum of cyclic modules

A relation in a finitely generated module

Module notation

Trending Questions

Popular # Hahtags

Popular Questions