List questions from regular-rings

Published on 28 Apr 2021 - 12:40

172

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Why the image of any $A$-regular sequence under $f$ is a $B$-regular sequence, $f: A \to B$ is flat.

Published on 02 May 2021 - 1:31

133

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Zero is a regular ring or it is not?

Published on 12 Jul 2021 - 8:09

309

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Completion (as a module) of the integral closure of a Cohen-Macaulay local ring whose completion is reduced

Published on 25 Jul 2021 - 6:58

207

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How to prove this ring is regular?

Published on 27 Jul 2021 - 11:52

100

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How to show this tensor product is regular?

Published on 30 Jul 2021 - 8:36

198

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UFD such that power series are not

Published on 01 Sep 2021 - 2:17

46

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Regularity of $\mathbb Z/ n \mathbb Z$.

Published on 17 Oct 2021 - 18:24

182

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Question on the Proof of Proposition 2.2.4 of Bruns and Herzog

Published on 30 Oct 2021 - 0:22

205

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Regularity vs smoothness in positive characteristic

Published on 04 Nov 2021 - 14:57

218

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Regular Noetherian Local Ring is Integral Domain

Published on 17 Nov 2021 - 15:59

45

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Prove that if $M=f(M)+\ker(f)$ and $S=\text{End}_R(M)$ is a reduced ring, then $S$ is regular

Published on 08 Feb 2022 - 23:12

175

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Localization of a maximal ideal in a multivariate polynomial ring is regular

Published on 06 Mar 2022 - 11:48

71

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$K[t^2,t^3]_{(t^2,t^3)}$ is not regular

Published on 31 Mar 2022 - 19:19

263

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If the global dimension is equal to the krull dimension of a ring R, then R is regular

Published on 11 Apr 2022 - 10:58

List Question

Flat extension of local domains

Why the image of any $A$-regular sequence under $f$ is a $B$-regular sequence, $f: A \to B$ is flat.

Zero is a regular ring or it is not?

Completion (as a module) of the integral closure of a Cohen-Macaulay local ring whose completion is reduced

How to prove this ring is regular?

How to show this tensor product is regular?

UFD such that power series are not

Regularity of $\mathbb Z/ n \mathbb Z$.

Question on the Proof of Proposition 2.2.4 of Bruns and Herzog

Regularity vs smoothness in positive characteristic

Regular Noetherian Local Ring is Integral Domain

Prove that if $M=f(M)+\ker(f)$ and $S=\text{End}_R(M)$ is a reduced ring, then $S$ is regular

Localization of a maximal ideal in a multivariate polynomial ring is regular

$K[t^2,t^3]_{(t^2,t^3)}$ is not regular

If the global dimension is equal to the krull dimension of a ring R, then R is regular

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