List questions from regular-rings

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Polynomial rings are regular

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Is a complete intersection ring, which is a quotient of a maximal $A$-sequence, Artinian?

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Projective Nullstellensatz and regular rings

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How to find a regular parameter system of the local ring $ \mathbb{C} [X_0, \dots, X_n]_{(P \ )} $?

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On cancelling $\mathfrak m$-primary ideal of regular local ring $(R,\mathfrak m)$

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reflexive ideal in regular local ring

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Exercise 4.4.1 in Weibel's 'An Introduction to Homological Algebra'.

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Is the trivial ring regular?

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Prove polynomial ring over a discrete valuation ring quotient by powers of maximal ideal is regular?

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Submodules of modules of finite projective dimension over regular ring

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A question on regular local rings (of positive characteristic ) of dimension $2$

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The group of units of $K_0$ and the Picard group of a finitely generated regular $\mathbb Z$-algebra

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Socle and minimal number of generators of an ideal in a regular local ring

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On a special kind of local Gorenstein ring of dimension $2$

Published on 22 Mar 2026 - 13:12

List Question

$k[[x,y]]/I$ is a Gorenstein ring implies that $I$ is generated by 2 elements

Polynomial rings are regular

Is a complete intersection ring, which is a quotient of a maximal $A$-sequence, Artinian?

Projective Nullstellensatz and regular rings

How to find a regular parameter system of the local ring $ \mathbb{C} [X_0, \dots, X_n]_{(P \ )} $?

On cancelling $\mathfrak m$-primary ideal of regular local ring $(R,\mathfrak m)$

reflexive ideal in regular local ring

Exercise 4.4.1 in Weibel's 'An Introduction to Homological Algebra'.

Is the trivial ring regular?

Prove polynomial ring over a discrete valuation ring quotient by powers of maximal ideal is regular?

Submodules of modules of finite projective dimension over regular ring

A question on regular local rings (of positive characteristic ) of dimension $2$

The group of units of $K_0$ and the Picard group of a finitely generated regular $\mathbb Z$-algebra

Socle and minimal number of generators of an ideal in a regular local ring

On a special kind of local Gorenstein ring of dimension $2$

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