List questions from commutative-algebra

Published on 08 Apr 2026 - 17:52

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Maximal ideals of polynomials in two variables

Published on 13 Apr 2026 - 5:36

295

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If a filtration of a module $M$ splits, then $M$ is locally free (Görtz & Wedhorn)

Published on 25 Mar 2026 - 23:42

87

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How to show an ideal isn't radical

Published on 10 Apr 2026 - 19:51

392

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Is an epimorphic endomorphism of a noetherian commutative ring necessarily an isomorphism?

Published on 12 Apr 2026 - 1:56

107

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Induced homomorphism between two quotients

Published on 10 Apr 2026 - 18:08

80

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Boundary Homomorphism (2)

Published on 10 Apr 2026 - 23:20

187

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Does the Cantor-Schröder-Bernstein Theorem hold in the category opposite to the category of noetherian commutative rings?

Published on 25 Mar 2026 - 18:50

98

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Definition of finitely presented $R$-module

Published on 10 Apr 2026 - 12:17

297

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Note or book on Examples of regular, Gorenstein, Cohen Macaulay, ... rings

Published on 09 Apr 2026 - 2:03

479

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Localization of an integer quotient is a field

Published on 13 Apr 2026 - 14:01

67

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Eisenbud 3.11(d) - A Uniform Bound on the Length of Certain Modules

Published on 12 Mar 2014 - 18:37

160

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Ideal in $k[x,y]$ generated by two elements

Published on 11 Apr 2026 - 6:14

215

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Why are $(X_1), (X_1,X_2), \ldots$ prime ideals?

Published on 12 Mar 2014 - 21:50

208

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$\mathbb{Z}/n\mathbb{Z}$ is not flat

Published on 09 Apr 2026 - 3:50

List Question

How to check if a ring is Artinian?

Maximal ideals of polynomials in two variables

If a filtration of a module $M$ splits, then $M$ is locally free (Görtz & Wedhorn)

How to show an ideal isn't radical

Is an epimorphic endomorphism of a noetherian commutative ring necessarily an isomorphism?

Induced homomorphism between two quotients

Boundary Homomorphism (2)

Does the Cantor-Schröder-Bernstein Theorem hold in the category opposite to the category of noetherian commutative rings?

Definition of finitely presented $R$-module

Note or book on Examples of regular, Gorenstein, Cohen Macaulay, ... rings

Localization of an integer quotient is a field

Eisenbud 3.11(d) - A Uniform Bound on the Length of Certain Modules

Ideal in $k[x,y]$ generated by two elements

Why are $(X_1), (X_1,X_2), \ldots$ prime ideals?

$\mathbb{Z}/n\mathbb{Z}$ is not flat

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