List questions from local-rings

Published on 21 Sep 2019 - 12:49

64

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On radical finite generation of the maximal ideal of a local ring

Published on 24 Sep 2019 - 3:35

1.4k

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Local ring and zero divisors

Published on 23 Oct 2014 - 1:03

600

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Is the sheaf of differentials of a smooth morphism locally free?

Published on 02 Oct 2019 - 10:10

190

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Valuation ring which is not a DVR but has finite residue field

Published on 07 Oct 2019 - 11:25

410

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Étale morphism induces isomorphism of tangent spaces

Published on 10 Oct 2019 - 2:23

187

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Local ring with principal maximal ideal and $\cap_{n>0}\mathfrak{m}^n=\{0\}$ is Noetherian?

Published on 15 Oct 2019 - 9:05

314

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Local Cohen-Macaulay ring of minimal multiplicity

Published on 24 Oct 2019 - 3:46

103

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Nonzero-divisor on the associated graded ring at the maximal ideal implies nonzero-divisor on the ring?

Published on 28 Oct 2019 - 8:20

297

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Relationship between the depth of a local Cohen-Macaulay ring and its associated graded ring

Published on 28 Oct 2019 - 9:25

76

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Why are one-sided ideals used for the general notion of local rings?

Published on 10 Nov 2019 - 7:43

955

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Counterexample: Local Artinian ring is not a PID

Published on 18 Nov 2019 - 15:51

410

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Regular local rings are normal

Published on 21 Nov 2019 - 15:53

106

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What is the local ring $\mathscr{O}_P(\mathbb A ^2)$?

Published on 27 Nov 2019 - 12:29

55

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Image of a local map is closed in $m$-adic topology

Published on 22 Mar 2026 - 10:51

List Question

Computing henselization DVR

On radical finite generation of the maximal ideal of a local ring

Local ring and zero divisors

Is the sheaf of differentials of a smooth morphism locally free?

Valuation ring which is not a DVR but has finite residue field

Étale morphism induces isomorphism of tangent spaces

Local ring with principal maximal ideal and $\cap_{n>0}\mathfrak{m}^n=\{0\}$ is Noetherian?

Local Cohen-Macaulay ring of minimal multiplicity

Nonzero-divisor on the associated graded ring at the maximal ideal implies nonzero-divisor on the ring?

Relationship between the depth of a local Cohen-Macaulay ring and its associated graded ring

Why are one-sided ideals used for the general notion of local rings?

Counterexample: Local Artinian ring is not a PID

Regular local rings are normal

What is the local ring $\mathscr{O}_P(\mathbb A ^2)$?

Image of a local map is closed in $m$-adic topology

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