List questions from noetherian

Published on 01 Apr 2020 - 6:18

238

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A corollary to Krull's Principal Ideal Theorem

Published on 25 Mar 2026 - 21:48

140

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$R$ is a Noetherian ring if and only if both $I$ and $J$ are Noetherian $R$-modules, where $I,J$ are distinct maximal ideals

Published on 04 Apr 2020 - 14:05

413

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Non-Noetherian 0-dimensional ring

Published on 09 Apr 2020 - 16:43

552

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Finite Dimensional Vector Space Over a Field is a Noetherian and Artinian $F$-module

Published on 25 Mar 2026 - 12:15

354

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When Rees algebra is Noetherian?

Published on 25 Mar 2026 - 19:51

1.1k

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Prove that all ideals in $\mathbb{Z}[x]$ are generated by two elements.

Published on 17 Apr 2020 - 4:53

127

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(Left) Noetherian domains and Torsion submodules

Published on 20 Apr 2020 - 6:01

342

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Noether's Normalization Lemma on $\mathbb{C}[x,y,z]/(xy+xz+yz)$: how to prove the algebraic independence?

Published on 28 Apr 2020 - 19:57

206

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'Contain is to divide' doesn't imply Dedekind Domain

Published on 25 Mar 2026 - 17:38

194

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Proof of Chow's Lemma, where is proper necessary?

Published on 07 May 2020 - 6:07

273

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Is $\mathbb{C}[x,e^x]$ Noetherian?

Published on 07 May 2020 - 7:28

31

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Computing local dimensions of affine and projective space

Published on 26 Mar 2026 - 4:51

1.6k

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Examples of rings that are Noetherian but not finitely generated?

Published on 18 May 2020 - 19:57

205

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If $I$ is a proper ideal not prime, there exists $J,K$ such that $J\subsetneq I$, $K\subsetneq I$ and $JK\subseteq I$

Published on 20 May 2020 - 19:15

List Question

Noetherian modules and Noetherian rings

A corollary to Krull's Principal Ideal Theorem

$R$ is a Noetherian ring if and only if both $I$ and $J$ are Noetherian $R$-modules, where $I,J$ are distinct maximal ideals

Non-Noetherian 0-dimensional ring

Finite Dimensional Vector Space Over a Field is a Noetherian and Artinian $F$-module

When Rees algebra is Noetherian?

Prove that all ideals in $\mathbb{Z}[x]$ are generated by two elements.

(Left) Noetherian domains and Torsion submodules

Noether's Normalization Lemma on $\mathbb{C}[x,y,z]/(xy+xz+yz)$: how to prove the algebraic independence?

'Contain is to divide' doesn't imply Dedekind Domain

Proof of Chow's Lemma, where is proper necessary?

Is $\mathbb{C}[x,e^x]$ Noetherian?

Computing local dimensions of affine and projective space

Examples of rings that are Noetherian but not finitely generated?

If $I$ is a proper ideal not prime, there exists $J,K$ such that $J\subsetneq I$, $K\subsetneq I$ and $JK\subseteq I$

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