List questions from noetherian

Published on 21 Oct 2015 - 8:13

619

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Examples of Noetherian Domains of Dimension One

Published on 21 Mar 2026 - 21:50

156

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Noetherian criterion and principal ideals.

Published on 30 Oct 2015 - 16:22

116

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Goldbach property for polynomials with base ring a PID with infinitely many maximal ideals

Published on 21 Mar 2026 - 21:54

111

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Characterization of Noetherian module

Published on 08 Nov 2015 - 23:35

607

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$x$ is integral over $R$ if and only if for every minimal prime $\mathfrak q$ of $S$, $x$ is integral over the residue domains

Published on 14 Nov 2015 - 19:03

224

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Can anybody show how primary decomposition of ideals is useful. Any application?

Published on 17 Nov 2015 - 9:41

289

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For finitely generated $B$ all modules in exact sequence are finitely generated in PID

Published on 22 Nov 2015 - 13:06

156

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Noetherian local domain $A$ with a prime $P$ so that $\operatorname{ht}P+\dim A/P<\dim A$

Published on 25 Nov 2015 - 13:13

618

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Is this ring R both noetherian and artinian?

Published on 09 Dec 2015 - 13:04

1k

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matrix ring Noetherian, Artinian, semisimple?

Published on 23 Feb 2026 - 7:39

1k

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Intersection of height one prime ideals

Published on 12 Dec 2015 - 20:58

769

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Equivalence of definitions of Noetherian Ring, another proof.

Published on 18 Dec 2015 - 23:22

105

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Normal Noetherian rings of dimension at least 1

Published on 26 Dec 2015 - 22:57

778

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If $R$ is a noetherian ring, then minimal primes of $R[x]$ are exactly the ideals $P[x]$ of $R[x]$ where $P$ is a minimal prime of $R$

Published on 30 Dec 2015 - 3:58

List Question

Localization of a one-dimensional noetherian integral domain

Examples of Noetherian Domains of Dimension One

Noetherian criterion and principal ideals.

Goldbach property for polynomials with base ring a PID with infinitely many maximal ideals

Characterization of Noetherian module

$x$ is integral over $R$ if and only if for every minimal prime $\mathfrak q$ of $S$, $x$ is integral over the residue domains

Can anybody show how primary decomposition of ideals is useful. Any application?

For finitely generated $B$ all modules in exact sequence are finitely generated in PID

Noetherian local domain $A$ with a prime $P$ so that $\operatorname{ht}P+\dim A/P<\dim A$

Is this ring R both noetherian and artinian?

matrix ring Noetherian, Artinian, semisimple?

Intersection of height one prime ideals

Equivalence of definitions of Noetherian Ring, another proof.

Normal Noetherian rings of dimension at least 1

If $R$ is a noetherian ring, then minimal primes of $R[x]$ are exactly the ideals $P[x]$ of $R[x]$ where $P$ is a minimal prime of $R$

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