Question

Is the $F [X]$ module $V$ finitely generated?

score 586 · Answer 1 · 2026-03-22 20:09:36

586

Views

Is the $F [X]$ module $V$ finitely generated?

Published on 22 Mar 2026 - 20:09

score 52 · Answer 2 · 2018-03-18 17:06:44

52

Views

On finite generation of $IM$ where $M$ is an $R$-module and $I=Ann_R (M/N)$ , where $N$ is a finitely generated submodule of $M$

Published on 18 Mar 2018 - 17:06

score 52 · Answer 3 · 2018-03-19 09:42:27

52

Views

On finite generation of a submodule $N$ of a finitely generated $R$-module $M$, such that $IM$ is finitely generated, where $I=Ann_R (M/N)$

Published on 19 Mar 2018 - 9:42

score 1.1k · Answer 4 · 2018-03-22 03:32:55

1.1k

Views

Is $\mathbb Q$ finitely generated as a $\mathbb Z$-module?

Published on 22 Mar 2018 - 3:32

score 314 · Answer 5 · 2018-03-22 17:02:22

314

Views

How can I find a finite generating set for the ideal $I \subset \mathbb C[x,y]$ generated by the set $\{y -x,y - x^2, y-x^3,\dots\}$?

Published on 22 Mar 2018 - 17:02

score 226 · Answer 6 · 2018-03-28 09:36:48

226

Views

For a finitely generated $K$ algebra $A$ is $S^{-1}A$ also finitely generated $K$ algebra?

Published on 28 Mar 2018 - 9:36

score 169 · Answer 7 · 2018-04-01 17:01:38

169

Views

Is $\mathbb{Z}[x]/(2x^2)$ a finitely generated $\mathbb{Z}$ module?

Published on 01 Apr 2018 - 17:01

score 38 · Answer 8 · 2026-03-25 04:36:03

38

Views

Vector space dimension after nonlinearly mapping spanning vectors

Published on 25 Mar 2026 - 4:36

score 190 · Answer 9 · 2018-04-09 19:56:08

190

Views

"Dimension inequality" preserving linear map for vector spaces

Published on 09 Apr 2018 - 19:56

score 579 · Answer 10 · 2018-04-11 03:16:18

579

Views

$M$ is a cyclic module if and only if it has a single invariant factor

Published on 11 Apr 2018 - 3:16

score 361 · Answer 11 · 2018-04-19 14:40:35

361

Views

Cancellation for finitely generated abelian groups

Published on 19 Apr 2018 - 14:40

score 550 · Answer 12 · 2018-04-21 17:45:54

550

Views

If the $R$-module $M$ is finitely generated, but some generating set is not linearly independent, is $M$ not free?

Published on 21 Apr 2018 - 17:45

score 112 · Answer 13 · 2026-03-22 09:52:06

112

Views

Prime decomposition in a Dedekind domain

Published on 22 Mar 2026 - 9:52

score 141 · Answer 14 · 2026-03-25 01:15:01

141

Views

Noether normalization: what is a finite map?

Published on 25 Mar 2026 - 1:15

score 142 · Answer 15 · 2018-05-05 18:57:07

142

Views

Showing that $\sqrt[3]{2}\notin\Bbb Q(\alpha_1,...,\alpha_k)$ where $\alpha_i^2\in\Bbb Q\ \forall i$

Published on 05 May 2018 - 18:57

List Question

Is the $F [X]$ module $V$ finitely generated?

On finite generation of $IM$ where $M$ is an $R$-module and $I=Ann_R (M/N)$ , where $N$ is a finitely generated submodule of $M$

On finite generation of a submodule $N$ of a finitely generated $R$-module $M$, such that $IM$ is finitely generated, where $I=Ann_R (M/N)$

Is $\mathbb Q$ finitely generated as a $\mathbb Z$-module?

How can I find a finite generating set for the ideal $I \subset \mathbb C[x,y]$ generated by the set $\{y -x,y - x^2, y-x^3,\dots\}$?

For a finitely generated $K$ algebra $A$ is $S^{-1}A$ also finitely generated $K$ algebra?

Is $\mathbb{Z}[x]/(2x^2)$ a finitely generated $\mathbb{Z}$ module?

Vector space dimension after nonlinearly mapping spanning vectors

"Dimension inequality" preserving linear map for vector spaces

$M$ is a cyclic module if and only if it has a single invariant factor

Cancellation for finitely generated abelian groups

If the $R$-module $M$ is finitely generated, but some generating set is not linearly independent, is $M$ not free?

Prime decomposition in a Dedekind domain

Noether normalization: what is a finite map?

Showing that $\sqrt[3]{2}\notin\Bbb Q(\alpha_1,...,\alpha_k)$ where $\alpha_i^2\in\Bbb Q\ \forall i$

Trending Questions

Popular # Hahtags

Popular Questions