Question

Is there always an automorphism distinct from identity in a simple module?

score 70 · Answer 1 · 2026-04-11 18:07:36

70

Views

Is there always an automorphism distinct from identity in a simple module?

Published on 11 Apr 2026 - 18:07

score 27 · Answer 2 · 2026-04-13 06:14:47

27

Views

The tensor product of two simple module of a group algebra

Published on 13 Apr 2026 - 6:14

score 18 · Answer 3 · 2026-04-16 19:46:38

18

Views

$M$ a Hopf-module, is $M^*$ a Hopf comodule?

Published on 16 Apr 2026 - 19:46

score 47 · Answer 4 · 2026-04-13 16:51:19

47

Views

Extending scalars to get $\mathbb{C}\bigotimes_\mathbb{R} \mathbb{R}^{2n}\cong \mathbb{C}^{2n}$ as $\mathbb{C}$-modules

Published on 13 Apr 2026 - 16:51

score 35 · Answer 5 · 2026-04-15 18:35:38

35

Views

Noether normalization and free modules

Published on 15 Apr 2026 - 18:35

score 17 · Answer 6 · 2026-04-26 01:33:19

17

Views

Does a distribution uniquely determine a (the) submodule of vector fields which generates it?

Published on 26 Apr 2026 - 1:33

score 24 · Answer 7 · 2026-04-14 14:43:20

24

Views

$V(\mathrm{Ann}_A(M)^e)=V(\mathrm{Ann}_B(B\otimes_A M))$

Published on 14 Apr 2026 - 14:43

score 46 · Answer 8 · 2026-04-13 12:56:56

46

Views

If $R$ is a ring that is finitely generated as an additive group, then R is Noetherian

Published on 13 Apr 2026 - 12:56

score 48 · Answer 9 · 2026-04-15 13:03:21

48

Views

If $A$ is a semisimple algebra, then every $A$-module short exact sequence splits

Published on 15 Apr 2026 - 13:03

score 876 · Answer 10 · 2026-03-25 09:24:20

876

Views

Direct-Sum Decomposition of an Artinian module

Published on 25 Mar 2026 - 9:24

score 422 · Answer 11 · 2026-04-15 08:15:06

422

Views

Fiber as vector space over residue field.

Published on 15 Apr 2026 - 8:15

score 194 · Answer 12 · 2026-03-25 20:34:01

194

Views

David Eisenbud, Hilbert theorem

Published on 25 Mar 2026 - 20:34

score 198 · Answer 13 · 2026-03-25 16:14:00

198

Views

what inequalities can one have between $\operatorname{depth} R$ and $\operatorname{depth} M$?

Published on 25 Mar 2026 - 16:14

score 145 · Answer 14 · 2026-04-17 11:49:10

145

Views

Over a PID, $\text{rank}(F/N)=0 \Longleftrightarrow\text{rank}(F)=\text{rank}(N)$?

Published on 17 Apr 2026 - 11:49

score 224 · Answer 15 · 2026-04-17 02:44:54

224

Views

Does $\text{rank}(M/M')=\text{rank}(M)-\text{rank}(M')$ hold for a free module over a PID?

Published on 17 Apr 2026 - 2:44

List Question

Is there always an automorphism distinct from identity in a simple module?

The tensor product of two simple module of a group algebra

$M$ a Hopf-module, is $M^*$ a Hopf comodule?

Extending scalars to get $\mathbb{C}\bigotimes_\mathbb{R} \mathbb{R}^{2n}\cong \mathbb{C}^{2n}$ as $\mathbb{C}$-modules

Noether normalization and free modules

Does a distribution uniquely determine a (the) submodule of vector fields which generates it?

$V(\mathrm{Ann}_A(M)^e)=V(\mathrm{Ann}_B(B\otimes_A M))$

If $R$ is a ring that is finitely generated as an additive group, then R is Noetherian

If $A$ is a semisimple algebra, then every $A$-module short exact sequence splits

Direct-Sum Decomposition of an Artinian module

Fiber as vector space over residue field.

David Eisenbud, Hilbert theorem

what inequalities can one have between $\operatorname{depth} R$ and $\operatorname{depth} M$?

Over a PID, $\text{rank}(F/N)=0 \Longleftrightarrow\text{rank}(F)=\text{rank}(N)$?

Does $\text{rank}(M/M')=\text{rank}(M)-\text{rank}(M')$ hold for a free module over a PID?

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