List questions from commutative-algebra

Published on 25 Mar 2026 - 6:01

383

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A finitely generated $S^{-1}R$-module isomorphic to the localization of a finitely generated $R$-module

Published on 26 Mar 2026 - 2:55

244

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About noetherian commutative rings

Published on 09 Apr 2026 - 1:44

150

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Can the length of a module be seen as a specific Krull-dimension?

Published on 03 Apr 2026 - 4:08

78

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Is $\text{Hom}_{\mathbb Z[G]}(M,\mathbb Z[G])$ finitely generated?

Published on 11 Apr 2026 - 6:28

35

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Analogue of the concept of localisation of a module, w.r.t. multiplicative closed set, in the context of Sheaves?

Published on 25 Mar 2026 - 14:35

183

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Local cohomology as direct limit of Ext functors, for not necessarily affine schemes?

Published on 09 Apr 2026 - 14:40

99

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How do we decompose an algebraic set $V(f)$ when $f$ is complicated?

Published on 02 Jul 2019 - 21:48

103

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decompose the radical of an ideal as an intersection of prime ideals

Published on 03 Jul 2019 - 4:09

64

Views

Systematic way to show equality between ideals of $K[x,y]$

Published on 25 Mar 2026 - 18:29

42

Views

zero elements in subalgebra of quotient ring

Published on 03 Jul 2019 - 9:52

120

Views

Maximal Spectrum over finitely generated F - Algebra with finite field F is Hausdorff

Published on 03 Jul 2019 - 16:44

277

Views

On local cohomology and canonical module

Published on 06 Apr 2026 - 15:43

330

Views

Free submodule of finite index over pid

Published on 27 Mar 2026 - 6:56

846

Views

Check whether the quotient ring $R:=\mathbb{C}[x,y,z]/(xy-z^2)$ is a field or an integral domain

Published on 09 Apr 2026 - 7:52

List Question

Some sufficient condition for a Noetherian local ring to be a DVR

A finitely generated $S^{-1}R$-module isomorphic to the localization of a finitely generated $R$-module

About noetherian commutative rings

Can the length of a module be seen as a specific Krull-dimension?

Is $\text{Hom}_{\mathbb Z[G]}(M,\mathbb Z[G])$ finitely generated?

Analogue of the concept of localisation of a module, w.r.t. multiplicative closed set, in the context of Sheaves?

Local cohomology as direct limit of Ext functors, for not necessarily affine schemes?

How do we decompose an algebraic set $V(f)$ when $f$ is complicated?

decompose the radical of an ideal as an intersection of prime ideals

Systematic way to show equality between ideals of $K[x,y]$

zero elements in subalgebra of quotient ring

Maximal Spectrum over finitely generated F - Algebra with finite field F is Hausdorff

On local cohomology and canonical module

Free submodule of finite index over pid

Check whether the quotient ring $R:=\mathbb{C}[x,y,z]/(xy-z^2)$ is a field or an integral domain

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