Question

Artinian local ring with every non-maximal ideal being principal

score 68 · Answer 1 · 2026-05-10 11:04:14

68

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Artinian local ring with every non-maximal ideal being principal

Published on 10 May 2026 - 11:04

score 200 · Answer 2 · 2026-04-22 04:30:31

200

Views

Local ring of a surface: polynomial expression

Published on 22 Apr 2026 - 4:30

score 68 · Answer 3 · 2026-04-22 04:30:29

68

Views

Calculate $\dim_k(\mathfrak{m}^i/ \mathfrak{m}^{i+1})$ for the local ring $\mathbb{Z}_{(2)}[\sqrt{-3}]$

Published on 22 Apr 2026 - 4:30

score 80 · Answer 4 · 2026-04-22 04:29:05

80

Views

Completion and endmorphism ring of injective envelope

Published on 22 Apr 2026 - 4:29

score 190 · Answer 5 · 2026-04-22 04:30:34

190

Views

Example for being an integral domain is not a local property.

Published on 22 Apr 2026 - 4:30

score 72 · Answer 6 · 2026-04-22 04:30:28

72

Views

$R$ is artinian $\implies$ $(eR)_R$ is local $R$-module for an idempotent $e \in R$

Published on 22 Apr 2026 - 4:30

score 84 · Answer 7 · 2026-05-07 12:27:47

84

Views

Corollary 4.19 from "Homological methods in commutative algebra"

Published on 07 May 2026 - 12:27

score 74 · Answer 8 · 2026-04-22 04:28:56

74

Views

Do we have a nice classification of injective modules over a local ring?

Published on 22 Apr 2026 - 4:28

score 806 · Answer 9 · 2026-04-22 04:30:02

806

Views

Multiplicity of point of algebraic plane curve

Published on 22 Apr 2026 - 4:30

score 751 · Answer 10 · 2026-04-22 04:28:59

751

Views

Is a subring of a local ring still local?

Published on 22 Apr 2026 - 4:28

score 822 · Answer 11 · 2026-04-22 04:30:30

822

Views

Quotients of powers of maximal ideal in a local ring.

Published on 22 Apr 2026 - 4:30

score 172 · Answer 12 · 2026-05-07 17:48:38

172

Views

Is a complete intersection ring, which is a quotient of a maximal $A$-sequence, Artinian?

Published on 07 May 2026 - 17:48

score 103 · Answer 13 · 2026-04-29 12:42:54

103

Views

How to find a regular parameter system of the local ring $ \mathbb{C} [X_0, \dots, X_n]_{(P \ )} $?

Published on 29 Apr 2026 - 12:42

score 80 · Answer 14 · 2026-04-22 04:30:31

80

Views

Is there a nonzero module $M$ over an artinian local ring $(R,\mathfrak m)$ such that $\mathfrak mM=M\ ?$

Published on 22 Apr 2026 - 4:30

score 38 · Answer 15 · 2026-04-22 04:30:27

38

Views

On a special type of ideal in local Artinian ring

Published on 22 Apr 2026 - 4:30

List Question

Artinian local ring with every non-maximal ideal being principal

Local ring of a surface: polynomial expression

Calculate $\dim_k(\mathfrak{m}^i/ \mathfrak{m}^{i+1})$ for the local ring $\mathbb{Z}_{(2)}[\sqrt{-3}]$

Completion and endmorphism ring of injective envelope

Example for being an integral domain is not a local property.

$R$ is artinian $\implies$ $(eR)_R$ is local $R$-module for an idempotent $e \in R$

Corollary 4.19 from "Homological methods in commutative algebra"

Do we have a nice classification of injective modules over a local ring?

Multiplicity of point of algebraic plane curve

Is a subring of a local ring still local?

Quotients of powers of maximal ideal in a local ring.

Is a complete intersection ring, which is a quotient of a maximal $A$-sequence, Artinian?

How to find a regular parameter system of the local ring $ \mathbb{C} [X_0, \dots, X_n]_{(P \ )} $?

Is there a nonzero module $M$ over an artinian local ring $(R,\mathfrak m)$ such that $\mathfrak mM=M\ ?$

On a special type of ideal in local Artinian ring

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