Question

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

score 89 · Answer 1 · 2026-05-04 01:26:59

89

Views

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

Published on 04 May 2026 - 1:26

score 475 · Answer 2 · 2026-05-04 08:54:56

475

Views

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

Published on 04 May 2026 - 8:54

score 253 · Answer 3 · 2026-05-02 10:57:00

253

Views

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

Published on 02 May 2026 - 10:57

score 317 · Answer 4 · 2026-05-05 11:22:00

317

Views

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

Published on 05 May 2026 - 11:22

score 205 · Answer 5 · 2026-05-05 15:19:39

205

Views

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

Published on 05 May 2026 - 15:19

score 96 · Answer 6 · 2026-05-06 04:14:37

96

Views

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

Published on 06 May 2026 - 4:14

score 93 · Answer 7 · 2026-05-02 02:36:47

93

Views

Notion of simple hypersurface singularity depends on the presentation?

Published on 02 May 2026 - 2:36

score 139 · Answer 8 · 2026-05-03 12:59:25

139

Views

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

Published on 03 May 2026 - 12:59

score 63 · Answer 9 · 2026-05-03 11:31:47

63

Views

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

Published on 03 May 2026 - 11:31

score 130 · Answer 10 · 2026-05-03 08:15:13

130

Views

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

Published on 03 May 2026 - 8:15

score 772 · Answer 11 · 2026-05-03 12:53:52

772

Views

What is "self-dual" about Gorenstein rings?

Published on 03 May 2026 - 12:53

score 360 · Answer 12 · 2026-05-03 11:27:18

360

Views

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

Published on 03 May 2026 - 11:27

score 197 · Answer 13 · 2026-05-03 04:16:55

197

Views

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

Published on 03 May 2026 - 4:16

score 160 · Answer 14 · 2026-05-03 12:57:29

160

Views

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

Published on 03 May 2026 - 12:57

score 157 · Answer 15 · 2026-05-03 10:48:09

157

Views

When homogeneous coordinate ring of an Abelian variety is Gorenstein?

Published on 03 May 2026 - 10:48

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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