Question

Two steps in proving that $\operatorname{Ass }M\subset \operatorname{Ass} M'\cup\operatorname{Ass} M''$

score 90 · Answer 1 · 2026-03-29 08:16:10

90

Views

Two steps in proving that $\operatorname{Ass }M\subset \operatorname{Ass} M'\cup\operatorname{Ass} M''$

Published on 29 Mar 2026 - 8:16

score 691 · Answer 2 · 2026-03-25 06:07:05

691

Views

Direct limit of directed system of modules commutes with right derived functors of additive, covariant, left exact functor?

Published on 25 Mar 2026 - 6:07

score 164 · Answer 3 · 2026-04-01 00:47:48

164

Views

On the natural isomorphism between $I$-torsion functor and direct limit of $\mathrm{Hom}$ functor

Published on 01 Apr 2026 - 0:47

score 167 · Answer 4 · 2026-03-26 07:57:14

167

Views

On modules in which tensor of each two elements is commutative

Published on 26 Mar 2026 - 7:57

score 107 · Answer 5 · 2026-03-25 19:25:27

107

Views

$M$ be a complete $R$-module and $N$ be a closed submodule of $M.$ Then $M/N$ is complete.

Published on 25 Mar 2026 - 19:25

score 94 · Answer 6 · 2026-03-25 06:50:38

94

Views

When $M\simeq Ker \oplus Im$? Where $M$ is a Module

Published on 25 Mar 2026 - 6:50

score 119 · Answer 7 · 2026-03-25 06:39:29

119

Views

Need help understanding a step in a proof about modules over PIDs

Published on 25 Mar 2026 - 6:39

score 229 · Answer 8 · 2026-03-25 07:41:48

229

Views

Consequence of epimorphism from Noetherian $R$-module

Published on 25 Mar 2026 - 7:41

score 113 · Answer 9 · 2026-03-25 10:58:56

113

Views

Let R be noetherian. If ideal $I$ is maximal with respect to the property that $R/I$ is not of finite length, prove $I$ is prime.

Published on 25 Mar 2026 - 10:58

score 110 · Answer 10 · 2019-03-09 01:00:15

110

Views

Confusion about the definition of semisimple rings

Published on 09 Mar 2019 - 1:00

score 1.4k · Answer 11 · 2019-03-09 15:21:42

1.4k

Views

Kernel is a submodule

Published on 09 Mar 2019 - 15:21

score 29 · Answer 12 · 2026-03-29 11:18:33

29

Views

Question regarding the definition of the action of $sl_2$ on a vector space

Published on 29 Mar 2026 - 11:18

score 189 · Answer 13 · 2026-03-25 09:28:52

189

Views

The localization of the ring $\mathbb{Z} \times \mathbb{Z}$ at every prime ideal is an integral domain

Published on 25 Mar 2026 - 9:28

score 248 · Answer 14 · 2026-03-26 01:25:12

248

Views

if $M \otimes_A (A_m/mA_m)=0$ for every maximal ideal $m \subset A$, then $M=0$, $M$ finitely generated

Published on 26 Mar 2026 - 1:25

score 210 · Answer 15 · 2026-03-26 22:16:14

210

Views

References on the submodules of a direct sum of copies of $\mathbb{Z}$

Published on 26 Mar 2026 - 22:16

List Question

Two steps in proving that $\operatorname{Ass }M\subset \operatorname{Ass} M'\cup\operatorname{Ass} M''$

Direct limit of directed system of modules commutes with right derived functors of additive, covariant, left exact functor?

On the natural isomorphism between $I$-torsion functor and direct limit of $\mathrm{Hom}$ functor

On modules in which tensor of each two elements is commutative

$M$ be a complete $R$-module and $N$ be a closed submodule of $M.$ Then $M/N$ is complete.

When $M\simeq Ker \oplus Im$? Where $M$ is a Module

Need help understanding a step in a proof about modules over PIDs

Consequence of epimorphism from Noetherian $R$-module

Let R be noetherian. If ideal $I$ is maximal with respect to the property that $R/I$ is not of finite length, prove $I$ is prime.

Confusion about the definition of semisimple rings

Kernel is a submodule

Question regarding the definition of the action of $sl_2$ on a vector space

The localization of the ring $\mathbb{Z} \times \mathbb{Z}$ at every prime ideal is an integral domain

if $M \otimes_A (A_m/mA_m)=0$ for every maximal ideal $m \subset A$, then $M=0$, $M$ finitely generated

References on the submodules of a direct sum of copies of $\mathbb{Z}$

Trending Questions

Popular # Hahtags

Popular Questions