Question

Is a complete Noetherian local ring a homomorphic image of a Gorenstein local ring of the same dimension?

score 332 · Answer 1 · 2026-04-14 01:24:34

332

Views

Is a complete Noetherian local ring a homomorphic image of a Gorenstein local ring of the same dimension?

Published on 14 Apr 2026 - 1:24

score 58 · Answer 2 · 2026-04-13 09:04:13

58

Views

induced sequence exact

Published on 13 Apr 2026 - 9:04

score 205 · Answer 3 · 2026-04-14 03:42:02

205

Views

Symmetric powers of ideal quotients in a local ring.

Published on 14 Apr 2026 - 3:42

score 455 · Answer 4 · 2026-04-07 20:30:00

455

Views

Scheme: Countable union of affine lines

Published on 07 Apr 2026 - 20:30

score 1.3k · Answer 5 · 2026-04-16 00:13:58

1.3k

Views

How to prove Ass$(R/Q)=\{P\}$ if and only if $Q$ is $P$-primary when $R$ is Noetherian?

Published on 16 Apr 2026 - 0:13

score 206 · Answer 6 · 2026-04-16 08:51:44

206

Views

Length of a composition series of a module

Published on 16 Apr 2026 - 8:51

score 441 · Answer 7 · 2026-04-15 19:39:14

441

Views

Exact sequence induced by decomposition of a variety

Published on 15 Apr 2026 - 19:39

score 986 · Answer 8 · 2026-04-12 00:03:14

986

Views

What is $R$-algebra and do I need to understand $R$-modules for it?

Published on 12 Apr 2026 - 0:03

score 157 · Answer 9 · 2026-04-11 21:38:51

157

Views

What can be said about the relation between $\mathbb{Z}_p$ and $\mathbb{Z}_{(p)}$?

Published on 11 Apr 2026 - 21:38

score 2k · Answer 10 · 2026-04-16 12:37:41

2k

Views

Local ring of Krull dimension zero

Published on 16 Apr 2026 - 12:37

score 61 · Answer 11 · 2026-04-13 21:12:10

61

Views

Does there always exist finitely presented submodules?

Published on 13 Apr 2026 - 21:12

score 148 · Answer 12 · 2026-04-10 09:53:10

148

Views

Ideal of an integral domain all of whose exterior powers are nonzero.

Published on 10 Apr 2026 - 9:53

score 97 · Answer 13 · 2026-04-16 05:58:58

97

Views

Rings having the same characters but not isomorphic.

Published on 16 Apr 2026 - 5:58

score 70 · Answer 14 · 2026-04-14 18:32:42

70

Views

$\mathcal{O}_{X_y,x}=\mathcal{O}_{X,x}/\mathfrak{m}_y\mathcal{O}_{X,x}$

Published on 14 Apr 2026 - 18:32

score 1.5k · Answer 15 · 2026-04-16 09:45:47

1.5k

Views

Exercise from Rotman: formal power series ring as inverse limit

Published on 16 Apr 2026 - 9:45

List Question

Is a complete Noetherian local ring a homomorphic image of a Gorenstein local ring of the same dimension?

induced sequence exact

Symmetric powers of ideal quotients in a local ring.

Scheme: Countable union of affine lines

How to prove Ass$(R/Q)=\{P\}$ if and only if $Q$ is $P$-primary when $R$ is Noetherian?

Length of a composition series of a module

Exact sequence induced by decomposition of a variety

What is $R$-algebra and do I need to understand $R$-modules for it?

What can be said about the relation between $\mathbb{Z}_p$ and $\mathbb{Z}_{(p)}$?

Local ring of Krull dimension zero

Does there always exist finitely presented submodules?

Ideal of an integral domain all of whose exterior powers are nonzero.

Rings having the same characters but not isomorphic.

$\mathcal{O}_{X_y,x}=\mathcal{O}_{X,x}/\mathfrak{m}_y\mathcal{O}_{X,x}$

Exercise from Rotman: formal power series ring as inverse limit

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