List questions from commutative-algebra

Published on 25 Apr 2026 - 12:20

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Is the sum of saturated ideals saturated?

Published on 17 Apr 2026 - 3:26

863

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Noether normalization for $k[x]_{x}$

Published on 14 Apr 2026 - 16:51

77

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How to show that ideal is prime in $\mathbb{R}[x,y,z]$ modulo some other ideal

Published on 13 Apr 2026 - 19:53

1.4k

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Local ring and zero divisors

Published on 16 Apr 2026 - 8:02

296

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Graded ring localization. Why is this function bijective?

Published on 13 Apr 2026 - 8:28

156

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Is Spec ($k[x_1,x_2,\ldots])$ a smooth $k$-scheme?

Published on 13 Apr 2026 - 8:15

319

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Is the ring of entire functions coherent?

Published on 25 Mar 2026 - 20:42

213

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A doubt on a proposition involving Goldman domains.

Published on 14 Apr 2026 - 1:07

54

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A property about quasi-primary modules

Published on 12 Apr 2026 - 14:08

365

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Contraction of non-zero prime ideals in the ring of algebraic integers

Published on 16 Apr 2026 - 1:37

1.2k

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If $R{^m}$ is isomorphic to $R{^n}$ as $R$-modules and if $M$ is a maximal ideal of $R$ then how can I show that image of $M{^m}$ is $M{^n}$?

Published on 15 Apr 2026 - 19:50

976

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Non-zero prime ideals are maximal in the ring of algebraic integers

Published on 13 Apr 2026 - 23:52

3.1k

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If a module is nonzero, then a localization module is nonzero

Published on 15 Apr 2026 - 0:27

254

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Elimination theory in Hartshorne

Published on 09 Apr 2026 - 6:47

List Question

Torsion-free module over a PID is flat

Is the sum of saturated ideals saturated?

Noether normalization for $k[x]_{x}$

How to show that ideal is prime in $\mathbb{R}[x,y,z]$ modulo some other ideal

Local ring and zero divisors

Graded ring localization. Why is this function bijective?

Is Spec ($k[x_1,x_2,\ldots])$ a smooth $k$-scheme?

Is the ring of entire functions coherent?

A doubt on a proposition involving Goldman domains.

A property about quasi-primary modules

Contraction of non-zero prime ideals in the ring of algebraic integers

If $R{^m}$ is isomorphic to $R{^n}$ as $R$-modules and if $M$ is a maximal ideal of $R$ then how can I show that image of $M{^m}$ is $M{^n}$?

Non-zero prime ideals are maximal in the ring of algebraic integers

If a module is nonzero, then a localization module is nonzero

Elimination theory in Hartshorne

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