List questions from noetherian

Published on 06 Nov 2016 - 3:34

68

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In noetherian domains, do we have $x \in P^{n-1} \setminus P^n,xy \in P^n \implies y \in P$?

Published on 06 Nov 2016 - 10:00

47

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Prove R/J is noetherian

Published on 09 Nov 2016 - 11:32

77

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Is the direct product of quotient rings left Noetherian?

Published on 10 Nov 2016 - 19:41

97

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$M$ Noetherian $\implies $ $M'$ and $M''$ are noetherian.

Published on 13 Nov 2016 - 10:55

33

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A noetherian $R$-module $M$ with submodules $L,N$ s.t $L\cap N={0}$ and $M/N\cong L$

Published on 14 Nov 2016 - 17:31

286

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Different version of the Hilbert basis theorem

Published on 16 Nov 2016 - 5:00

372

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a Noetherian , semi-Artinian module is Artinian.

Published on 18 Nov 2016 - 17:15

156

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Does Cantor–Schröder–Bernstein theorem hold in the category of Noetherian modules?

Published on 20 Nov 2016 - 16:14

690

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Over an artinian ring every nonzero module has a simple submodule?

Published on 25 Mar 2026 - 10:59

159

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When is $RS^{-1}$ a local ring?

Published on 25 Mar 2026 - 13:51

165

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Check whether $\mathbb{Q}[X_{1},X_{2},...]/(f_{1},f_{2},...)$ is a Bézout domain, Noetherian, Factorial, or PID

Published on 27 Nov 2016 - 22:25

249

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Zero divisors of a reduced Noetherian ring

Published on 25 Mar 2026 - 12:49

1.2k

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A graded ring is Noetherian equivalence

Published on 26 Mar 2026 - 0:10

45

Views

Having a hard time wrapping my head around "submodules of quotient modules"

Published on 07 Dec 2016 - 21:49

List Question

$\mathbb{Z}$ is Noetherian but not Artinian

In noetherian domains, do we have $x \in P^{n-1} \setminus P^n,xy \in P^n \implies y \in P$?

Prove R/J is noetherian

Is the direct product of quotient rings left Noetherian?

$M$ Noetherian $\implies $ $M'$ and $M''$ are noetherian.

A noetherian $R$-module $M$ with submodules $L,N$ s.t $L\cap N={0}$ and $M/N\cong L$

Different version of the Hilbert basis theorem

a Noetherian , semi-Artinian module is Artinian.

Does Cantor–Schröder–Bernstein theorem hold in the category of Noetherian modules?

Over an artinian ring every nonzero module has a simple submodule?

When is $RS^{-1}$ a local ring?

Check whether $\mathbb{Q}[X_{1},X_{2},...]/(f_{1},f_{2},...)$ is a Bézout domain, Noetherian, Factorial, or PID

Zero divisors of a reduced Noetherian ring

A graded ring is Noetherian equivalence

Having a hard time wrapping my head around "submodules of quotient modules"

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