List questions from noetherian

Published on 09 Aug 2020 - 10:10

150

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If $I$ and $J$ are ideals and I know an algorithm to find $I : J$, can I use this to find the saturation of $I$ by $J$?

Published on 28 Mar 2026 - 17:04

196

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Subrings of a Noetherian ring which inherits the Noetherian property

Published on 28 Aug 2020 - 16:43

40

Views

Noetherian module over two rings

Published on 29 Aug 2020 - 11:31

288

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Understanding completion of a Noetherian local ring

Published on 28 Mar 2026 - 15:26

2.5k

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Proof of every PID is Noetherian

Published on 04 Sep 2020 - 6:55

206

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Semiprime ideal of non-Noetherian Lie algebra

Published on 16 Sep 2020 - 13:01

169

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Are the generators of the ring $R[x]$ the same as the generators of $R$

Published on 16 Sep 2020 - 17:51

78

Views

Is this Lie algebra Noetherian (satisfy the maximal condition for ideals)?

Published on 01 Oct 2020 - 16:11

32

Views

Ideals of non-Noetherian Lie algebra

Published on 01 Oct 2020 - 20:59

235

Views

Is the completion ring map $A\to \hat{A}$ formally unramified/ramified/weakly etale/etale?

Published on 28 Mar 2026 - 22:27

156

Views

Extension of irreducible ideal of a Noetherian ring is irreducible of rings of fractions

Published on 23 Feb 2026 - 4:43

759

Views

How can one describe the closure of the image of a morphism of schemes?

Published on 03 Nov 2020 - 9:11

45

Views

$\operatorname{Aut_{I}(R)} = \operatorname{End_{I}(R) \cap Aut(R)}$ is a group or not?

Published on 03 Nov 2020 - 16:11

106

Views

Is Socle of evey locally Noetherian module a direct summand

Published on 23 Feb 2026 - 9:30

List Question

Characterization of Noetherian modules

If $I$ and $J$ are ideals and I know an algorithm to find $I : J$, can I use this to find the saturation of $I$ by $J$?

Subrings of a Noetherian ring which inherits the Noetherian property

Noetherian module over two rings

Understanding completion of a Noetherian local ring

Proof of every PID is Noetherian

Semiprime ideal of non-Noetherian Lie algebra

Are the generators of the ring $R[x]$ the same as the generators of $R$

Is this Lie algebra Noetherian (satisfy the maximal condition for ideals)?

Ideals of non-Noetherian Lie algebra

Is the completion ring map $A\to \hat{A}$ formally unramified/ramified/weakly etale/etale?

Extension of irreducible ideal of a Noetherian ring is irreducible of rings of fractions

How can one describe the closure of the image of a morphism of schemes?

$\operatorname{Aut_{I}(R)} = \operatorname{End_{I}(R) \cap Aut(R)}$ is a group or not?

Is Socle of evey locally Noetherian module a direct summand

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