Question

Union of Associated Primes being finite.

score 279 · Answer 1 · 2013-04-17 05:14:30

279

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Union of Associated Primes being finite.

Published on 17 Apr 2013 - 5:14

score 2.1k · Answer 2 · 2026-03-24 02:32:14

2.1k

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How does one prove that the ring of integer-valued polynomials $\text{Int}(\mathbb{Z})$ is not Noetherian?

Published on 24 Mar 2026 - 2:32

score 2.6k · Answer 3 · 2013-08-23 06:39:40

2.6k

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Verification of a proof that the ring of continuous functions on $[0,1]$ is not noetherian

Published on 23 Aug 2013 - 6:39

score 1.8k · Answer 4 · 2013-09-13 18:43:56

1.8k

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Suppose $M$ is a finitely generated module over $R$ where $R$ is a Noetherian ring. Prove that $M$ is a noetherian module.

Published on 13 Sep 2013 - 18:43

score 1.1k · Answer 5 · 2013-10-28 14:55:03

1.1k

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$R\subseteq S$ integral extension and $S$ Noetherian implies $R$ Noetherian?

Published on 28 Oct 2013 - 14:55

score 105 · Answer 6 · 2013-11-03 21:34:18

105

Views

Is Noetherianity necessary for quasi-regularity to imply regularity?

Published on 03 Nov 2013 - 21:34

score 1.2k · Answer 7 · 2026-03-28 01:06:35

1.2k

Views

Is a direct limit of Noetherian rings necessarily Noetherian?

Published on 28 Mar 2026 - 1:06

score 139 · Answer 8 · 2013-11-11 01:02:28

139

Views

Coker of powers of an endomorphism

Published on 11 Nov 2013 - 1:02

score 371 · Answer 9 · 2013-11-25 20:36:22

371

Views

Let $A \subset B$ be faithfully flat and $B$ Noetherian then $A$ is also Noetherian

Published on 25 Nov 2013 - 20:36

score 1.9k · Answer 10 · 2013-11-28 13:12:37

1.9k

Views

Is it true that in a Noetherian ring every descending chain of prime ideals stabilizes?

Published on 28 Nov 2013 - 13:12

score 3k · Answer 11 · 2013-12-08 21:56:32

3k

Views

Why are Noetherian Rings important?

Published on 08 Dec 2013 - 21:56

score 1.3k · Answer 12 · 2026-03-28 06:40:50

1.3k

Views

Noetherian ring and prime ideal contained in an invertible maximal ideal.

Published on 28 Mar 2026 - 6:40

score 970 · Answer 13 · 2013-12-26 10:45:03

970

Views

Associated primes of a quotient module.

Published on 26 Dec 2013 - 10:45

score 215 · Answer 14 · 2014-01-08 11:42:23

215

Views

An equivalence for $\operatorname{grade}(I,M)\ge 2$.

Published on 08 Jan 2014 - 11:42

score 1.1k · Answer 15 · 2014-01-22 11:43:26

1.1k

Views

Krull dimension and localization of a module

Published on 22 Jan 2014 - 11:43

List Question

Union of Associated Primes being finite.

How does one prove that the ring of integer-valued polynomials $\text{Int}(\mathbb{Z})$ is not Noetherian?

Verification of a proof that the ring of continuous functions on $[0,1]$ is not noetherian

Suppose $M$ is a finitely generated module over $R$ where $R$ is a Noetherian ring. Prove that $M$ is a noetherian module.

$R\subseteq S$ integral extension and $S$ Noetherian implies $R$ Noetherian?

Is Noetherianity necessary for quasi-regularity to imply regularity?

Is a direct limit of Noetherian rings necessarily Noetherian?

Coker of powers of an endomorphism

Let $A \subset B$ be faithfully flat and $B$ Noetherian then $A$ is also Noetherian

Is it true that in a Noetherian ring every descending chain of prime ideals stabilizes?

Why are Noetherian Rings important?

Noetherian ring and prime ideal contained in an invertible maximal ideal.

Associated primes of a quotient module.

An equivalence for $\operatorname{grade}(I,M)\ge 2$.

Krull dimension and localization of a module

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