List questions from artinian

Published on 15 Oct 2021 - 2:21

83

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Any finite Abelian group is Artinian module over any ring $R$?

Published on 27 Oct 2021 - 6:35

63

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Are monomorphisms in the category of Artinian rings injective?

Published on 25 Mar 2026 - 19:11

154

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Question about lengths in graded rings

Published on 19 Dec 2021 - 17:56

101

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Direct Proof that Artinian Rings have Stable Range 1

Published on 25 Mar 2026 - 19:02

52

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Is $f^n(A)$ eventually constant if $f\colon A \to A$ is a ring-endomorphism of the commutative Artinian ring $A$?

Published on 10 Mar 2022 - 21:28

309

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Reduced noetherian local ring of depth zero is artinian?

Published on 27 Apr 2022 - 4:32

117

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Are all Artinian Rings Jacobson?

Published on 03 May 2022 - 14:42

113

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Showing that $R/\operatorname{ann}(A)$ is artinian

Published on 16 May 2022 - 13:24

168

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A is noetherian and every prime ideal of A is maximal then...

Published on 22 May 2022 - 12:12

135

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Finite modules over Artinian Rings are Artinian

Published on 26 May 2022 - 15:20

29

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Examples?? Surjective (resp. Injective) ring endomorphisms which aren't isomorphisms

Published on 28 May 2022 - 13:10

80

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How to check whether a module is Artinian?

Published on 15 Sep 2022 - 9:04

60

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Is the following module flat over $A$?

Published on 18 Sep 2022 - 15:28

62

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On $\bigcap_{I \lhd R} (I+\text{ann}_R I)$ in Artinian Gorenstein local ring

Published on 25 Mar 2026 - 10:57

List Question

Dimension of localizations as complex vector spaces.

Any finite Abelian group is Artinian module over any ring $R$?

Are monomorphisms in the category of Artinian rings injective?

Question about lengths in graded rings

Direct Proof that Artinian Rings have Stable Range 1

Is $f^n(A)$ eventually constant if $f\colon A \to A$ is a ring-endomorphism of the commutative Artinian ring $A$?

Reduced noetherian local ring of depth zero is artinian?

Are all Artinian Rings Jacobson?

Showing that $R/\operatorname{ann}(A)$ is artinian

A is noetherian and every prime ideal of A is maximal then...

Finite modules over Artinian Rings are Artinian

Examples?? Surjective (resp. Injective) ring endomorphisms which aren't isomorphisms

How to check whether a module is Artinian?

Is the following module flat over $A$?

On $\bigcap_{I \lhd R} (I+\text{ann}_R I)$ in Artinian Gorenstein local ring

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