List questions from commutative-algebra

Published on 15 Sep 2019 - 18:13

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Dimension of $m/m^2$, where $m$ is the maximal ideal of $\mathcal{O}_{X\times Y,(x,y)}$

Published on 15 Sep 2019 - 19:01

242

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When is a faithful ideal of a unital commutative ring a regular ideal?

Published on 13 Apr 2026 - 2:39

151

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A dual of the result " every finitely generated module over a commutative ring is Hopfian"

Published on 10 Apr 2026 - 2:44

37

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Does $k(s_1,s_2)=k(x,y^2)$ imply that $k[s_1,s_2]=k[x,y^2]$, where $s_1,s_2$ are symmetric w.r.t. $(x,y) \mapsto (x,-y)$?

Published on 25 Mar 2026 - 6:13

234

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Can every set (of sets) be ordered by inclusion?

Published on 12 Apr 2026 - 15:10

609

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About Nilradical and Localization

Published on 10 Apr 2026 - 15:09

211

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Can an indecomposable module be neither torsion nor torsion-free?

Published on 11 Apr 2026 - 19:30

43

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Question about Module "localization"

Published on 10 Apr 2026 - 9:37

299

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Atiyah Macdonald- Commutative algebra Chapter 2 Question 13

Published on 12 Apr 2026 - 2:56

76

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localised ring $\mathbb{Z}_{(2)}$ is an integral domain

Published on 09 Apr 2026 - 17:12

125

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Completion of a stalk not integral domain

Published on 09 Apr 2026 - 3:53

85

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Isomorphism of quotient of ideals

Published on 13 Apr 2026 - 2:39

351

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Projective module of constant rank $1$ is finitely generated (K-Book)

Published on 27 Mar 2026 - 12:08

278

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Vakil's Exercise 1.3.K.(a): Ring homomorphism and induced module structure on tensor product

Published on 03 Apr 2026 - 20:15

List Question

Zero divisors in polynomial rings with several indeterminants.

Dimension of $m/m^2$, where $m$ is the maximal ideal of $\mathcal{O}_{X\times Y,(x,y)}$

When is a faithful ideal of a unital commutative ring a regular ideal?

A dual of the result " every finitely generated module over a commutative ring is Hopfian"

Does $k(s_1,s_2)=k(x,y^2)$ imply that $k[s_1,s_2]=k[x,y^2]$, where $s_1,s_2$ are symmetric w.r.t. $(x,y) \mapsto (x,-y)$?

Can every set (of sets) be ordered by inclusion?

About Nilradical and Localization

Can an indecomposable module be neither torsion nor torsion-free?

Question about Module "localization"

Atiyah Macdonald- Commutative algebra Chapter 2 Question 13

localised ring $\mathbb{Z}_{(2)}$ is an integral domain

Completion of a stalk not integral domain

Isomorphism of quotient of ideals

Projective module of constant rank $1$ is finitely generated (K-Book)

Vakil's Exercise 1.3.K.(a): Ring homomorphism and induced module structure on tensor product

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