Question

Length of a finitely generated A-Module and P-coprimary submodules

score 238 · Answer 1 · 2026-03-26 04:31:14

238

Views

Length of a finitely generated A-Module and P-coprimary submodules

Published on 26 Mar 2026 - 4:31

score 179 · Answer 2 · 2026-03-30 01:48:06

179

Views

p is an essential prime ideal of some submodule if and only if it contains an associated prime of the module

Published on 30 Mar 2026 - 1:48

score 77 · Answer 3 · 2026-03-25 15:12:14

77

Views

Showing that $K[[x_1...x_n]] / (f)$ is a free $K[[x_1,....x_{n-1}]]$ module

Published on 25 Mar 2026 - 15:12

score 93 · Answer 4 · 2026-03-26 19:01:56

93

Views

$0\rightarrow \mathbb{Z} \xrightarrow{ f_k} \mathbb{Z}\ \xrightarrow{ \pi } \mathbb{Z}/{k \mathbb{Z} } \rightarrow 0.$ is exact but not split

Published on 26 Mar 2026 - 19:01

score 104 · Answer 5 · 2026-03-30 01:47:56

104

Views

Length of Finitely generated modules and direct sums of coprimary submodules

Published on 30 Mar 2026 - 1:47

score 182 · Answer 6 · 2026-03-25 14:37:39

182

Views

$\varphi:M\to A^n$; $\operatorname{Ker}(\varphi)$ finitely generated

Published on 25 Mar 2026 - 14:37

score 68 · Answer 7 · 2026-03-25 11:10:26

68

Views

is $\mathbb{Q}$ finitely generated as a $\mathbb{Z}_{(p)}$-algebra?

Published on 25 Mar 2026 - 11:10

score 286 · Answer 8 · 2026-04-03 22:05:34

286

Views

(Question in a solution)If $M$ is finitely presented, $L$ is finitely generated

Published on 03 Apr 2026 - 22:05

score 204 · Answer 9 · 2019-10-23 19:35:51

204

Views

Let $M$ be a $R$-module, what is a example of a non-zero submodule $I$ with the following conditions?

Published on 23 Oct 2019 - 19:35

score 58 · Answer 10 · 2019-10-24 08:26:58

58

Views

All submodules of direct sum of modules?

Published on 24 Oct 2019 - 8:26

score 212 · Answer 11 · 2026-03-26 04:13:25

212

Views

Duality Concept: Submodule and Quotient

Published on 26 Mar 2026 - 4:13

score 201 · Answer 12 · 2019-10-25 13:54:30

201

Views

Normal forms for matrices over division rings

Published on 25 Oct 2019 - 13:54

score 1.2k · Answer 13 · 2019-10-25 18:25:53

1.2k

Views

Is there a local ring but not Noetherian?

Published on 25 Oct 2019 - 18:25

score 27 · Answer 14 · 2019-10-26 06:24:24

27

Views

Why is any element in $rad(kG)$ nilpotnet?

Published on 26 Oct 2019 - 6:24

score 31 · Answer 15 · 2019-10-26 10:27:27

31

Views

Conjugacy classes of $\mathop{\mathrm{GL}}_{10}(\mathbb{Q})$ with certain minimal polynomial

Published on 26 Oct 2019 - 10:27

List Question

Length of a finitely generated A-Module and P-coprimary submodules

p is an essential prime ideal of some submodule if and only if it contains an associated prime of the module

Showing that $K[[x_1...x_n]] / (f)$ is a free $K[[x_1,....x_{n-1}]]$ module

$0\rightarrow \mathbb{Z} \xrightarrow{ f_k} \mathbb{Z}\ \xrightarrow{ \pi } \mathbb{Z}/{k \mathbb{Z} } \rightarrow 0.$ is exact but not split

Length of Finitely generated modules and direct sums of coprimary submodules

$\varphi:M\to A^n$; $\operatorname{Ker}(\varphi)$ finitely generated

is $\mathbb{Q}$ finitely generated as a $\mathbb{Z}_{(p)}$-algebra?

(Question in a solution)If $M$ is finitely presented, $L$ is finitely generated

Let $M$ be a $R$-module, what is a example of a non-zero submodule $I$ with the following conditions?

All submodules of direct sum of modules?

Duality Concept: Submodule and Quotient

Normal forms for matrices over division rings

Is there a local ring but not Noetherian?

Why is any element in $rad(kG)$ nilpotnet?

Conjugacy classes of $\mathop{\mathrm{GL}}_{10}(\mathbb{Q})$ with certain minimal polynomial

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