List questions from noetherian

Published on 02 Nov 2018 - 19:28

327

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Proving Ascending Ideals Stabilize in PID

Published on 04 Nov 2018 - 2:21

104

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Artin-Rees property in commutative Noetherian rings with unit

Published on 23 Mar 2026 - 12:18

103

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Proof Checking: Elements of Noetherian Domains may be factored into irreducibles

Published on 17 Nov 2018 - 22:50

199

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Example of a Noetherian domain which is not equidimensional

Published on 18 Nov 2018 - 8:16

275

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How could I construct a module $M$ that has exactly $n$ composition series?

Published on 20 Nov 2018 - 17:20

251

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A completely reducible module is Artinian if and only if it is Noetherian.

Published on 23 Nov 2018 - 10:14

94

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Noetherian domain whose fraction field is such that some specific proper submodules are projective

Published on 23 Feb 2026 - 2:28

250

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If the completion of a module is trivial, must the module be trivial?

Published on 04 Dec 2018 - 3:01

78

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$\bigcap_{n\in\mathbb{N}} I^n = (0)$ if and only if no zero divisor of $R$ is of the form $1-z$ with $z\in I$.

Published on 07 Dec 2018 - 18:23

407

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Unique prime ideal factorization in noetherian domains?

Published on 25 Mar 2026 - 4:37

907

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$R$ noetherian, then every finitely generated $R$-module A has a resolution

Published on 27 Dec 2018 - 14:23

55

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Commutative Noetherian ring with distinct ideals having distinct index

Published on 30 Dec 2018 - 5:21

207

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Are unique prime ideal factorization domains noetherian?

Published on 25 Mar 2026 - 4:38

80

Views

Are unique prime ideal factorization domains locally noetherian?

Published on 05 Jan 2019 - 11:47

List Question

An ideal of a Noetherian ring with one associated prime

Proving Ascending Ideals Stabilize in PID

Artin-Rees property in commutative Noetherian rings with unit

Proof Checking: Elements of Noetherian Domains may be factored into irreducibles

Example of a Noetherian domain which is not equidimensional

How could I construct a module $M$ that has exactly $n$ composition series?

A completely reducible module is Artinian if and only if it is Noetherian.

Noetherian domain whose fraction field is such that some specific proper submodules are projective

If the completion of a module is trivial, must the module be trivial?

$\bigcap_{n\in\mathbb{N}} I^n = (0)$ if and only if no zero divisor of $R$ is of the form $1-z$ with $z\in I$.

Unique prime ideal factorization in noetherian domains?

$R$ noetherian, then every finitely generated $R$-module A has a resolution

Commutative Noetherian ring with distinct ideals having distinct index

Are unique prime ideal factorization domains noetherian?

Are unique prime ideal factorization domains locally noetherian?

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