Question

Local Gorenstein ring such that the square of the maximal ideal contains every minimal prime ideal

score 86 · Answer 1 · 2019-10-19 05:35:21

86

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Local Gorenstein ring such that the square of the maximal ideal contains every minimal prime ideal

Published on 19 Oct 2019 - 5:35

score 473 · Answer 2 · 2019-10-30 00:20:33

473

Views

On relating $\operatorname {Tor}_i^R (k, M)$ and $ \operatorname {Ext}_R^{d-i} (k, M)$

Published on 30 Oct 2019 - 0:20

score 251 · Answer 3 · 2019-11-05 23:10:03

251

Views

A local Cohen-Macaulay ring whose dimension is one less than the minimal no. of generators of its maximal ideal

Published on 05 Nov 2019 - 23:10

score 314 · Answer 4 · 2026-03-11 02:17:22

314

Views

Local Cohen-Macaulay ring over which every finitely generated module of finite injective dimension also has finite projective dimension

Published on 11 Mar 2026 - 2:17

score 203 · Answer 5 · 2019-11-16 03:05:46

203

Views

Does the completion of a local Gorenstein ring has finite injective dimension over the original ring?

Published on 16 Nov 2019 - 3:05

score 94 · Answer 6 · 2020-01-20 10:38:02

94

Views

Algebraic characterization (or sufficient condition) when a (graded) local hypersurface has rational singularity

Published on 20 Jan 2020 - 10:38

score 89 · Answer 7 · 2020-05-30 13:06:55

89

Views

Notion of simple hypersurface singularity depends on the presentation?

Published on 30 May 2020 - 13:06

score 137 · Answer 8 · 2020-06-17 02:40:40

137

Views

$R$ Gorenstein implies $\operatorname{Proj}(R)$ Gorenstein

Published on 17 Jun 2020 - 2:40

score 61 · Answer 9 · 2020-06-28 07:17:05

61

Views

Induced map on the $K_0$ of punctured spectrum of completion

Published on 28 Jun 2020 - 7:17

score 129 · Answer 10 · 2020-07-14 00:40:29

129

Views

Relationship Between the Dimension of an $R / \mathfrak m$-Vector Space and Its Completion in the $\mathfrak m$-adic Topology

Published on 14 Jul 2020 - 0:40

score 770 · Answer 11 · 2026-03-22 06:54:54

770

Views

What is "self-dual" about Gorenstein rings?

Published on 22 Mar 2026 - 6:54

score 358 · Answer 12 · 2020-07-24 00:25:24

358

Views

Proving a duality between Ext and Tor for maximal Cohen-Macaulay modules over Gorenstein ring

Published on 24 Jul 2020 - 0:25

score 194 · Answer 13 · 2020-07-29 08:58:59

194

Views

Second syzygy modules over rings , satisfying $(S_1)$ and $(G_0)$ , are reflexive

Published on 29 Jul 2020 - 8:58

score 158 · Answer 14 · 2016-11-26 08:48:16

158

Views

Annihilators of powers of the maximal ideal in an Artinian Gorenstein ring

Published on 26 Nov 2016 - 8:48

score 155 · Answer 15 · 2017-03-27 17:02:47

155

Views

When homogeneous coordinate ring of an Abelian variety is Gorenstein?

Published on 27 Mar 2017 - 17:02

List Question

Local Gorenstein ring such that the square of the maximal ideal contains every minimal prime ideal

On relating $\operatorname {Tor}_i^R (k, M)$ and $ \operatorname {Ext}_R^{d-i} (k, M)$

A local Cohen-Macaulay ring whose dimension is one less than the minimal no. of generators of its maximal ideal

Local Cohen-Macaulay ring over which every finitely generated module of finite injective dimension also has finite projective dimension

Does the completion of a local Gorenstein ring has finite injective dimension over the original ring?

Algebraic characterization (or sufficient condition) when a (graded) local hypersurface has rational singularity

Notion of simple hypersurface singularity depends on the presentation?

$R$ Gorenstein implies $\operatorname{Proj}(R)$ Gorenstein

Induced map on the $K_0$ of punctured spectrum of completion

Relationship Between the Dimension of an $R / \mathfrak m$-Vector Space and Its Completion in the $\mathfrak m$-adic Topology

What is "self-dual" about Gorenstein rings?

Proving a duality between Ext and Tor for maximal Cohen-Macaulay modules over Gorenstein ring

Second syzygy modules over rings , satisfying $(S_1)$ and $(G_0)$ , are reflexive

Annihilators of powers of the maximal ideal in an Artinian Gorenstein ring

When homogeneous coordinate ring of an Abelian variety is Gorenstein?

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