List questions from regular-rings

Published on 05 Apr 2026 - 19:24

173

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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 25 Mar 2026 - 11:06

135

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Zero is a regular ring or it is not?

Published on 06 Apr 2026 - 7:23

310

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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 Mar 2026 - 11:06

209

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How to prove this ring is regular?

Published on 06 Apr 2026 - 0:01

103

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How to show this tensor product is regular?

Published on 12 Apr 2026 - 10:24

199

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UFD such that power series are not

Published on 25 Mar 2026 - 11:01

47

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

Published on 25 Mar 2026 - 11:01

183

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Question on the Proof of Proposition 2.2.4 of Bruns and Herzog

Published on 25 Mar 2026 - 11:04

206

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Regularity vs smoothness in positive characteristic

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219

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Regular Noetherian Local Ring is Integral Domain

Published on 25 Mar 2026 - 11:00

46

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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 25 Mar 2026 - 11:04

176

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

Published on 25 Mar 2026 - 11:01

72

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

Published on 25 Mar 2026 - 11:01

264

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

Published on 25 Mar 2026 - 11:04

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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