List questions from local-rings

Published on 07 Apr 2021 - 11:23

166

Views

A sandwich theorem for local rings

Published on 25 Mar 2026 - 9:23

302

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When extension of a maximal ideal is maximal

Published on 27 Mar 2026 - 16:55

40

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Pullback on $\mathbb{A}^{n-1}$ of $\pi$ : $Z(F) \rightarrow \mathbb{A}^{n-1}$

Published on 24 Feb 2026 - 4:36

117

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Flat and algebraic (non-integral) local rings extension $R \subseteq S$ with $m_RS=m_S$

Published on 27 Mar 2026 - 16:47

218

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Is a localization at a maximal ideal of a polynomial ring a perfect ring?

Published on 27 Mar 2026 - 16:54

565

Views

Dimension of a scheme $X$ at a closed point $x$ and dimension of its local ring.

Published on 20 Apr 2021 - 0:12

229

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Flat morphism of local rings

Published on 25 Mar 2026 - 9:24

86

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Powers of maximal ideal in local ring with a single prime ideal.

Published on 21 Apr 2021 - 21:52

175

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Finite ring extension of local rings, revisited

Published on 22 Apr 2021 - 0:20

200

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Finitely generated module whose completion has finite length

Published on 25 Mar 2026 - 12:12

48

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Local Cohen-Macaulay rings

Published on 26 Mar 2026 - 1:00

84

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Cohen-Macaulayness and regularity of $A/p$

Published on 25 Mar 2026 - 9:26

70

Views

Ideal $I$ with $\operatorname{depth}(I)=d$ in a local CM ring of dimension $d$

Published on 25 Mar 2026 - 9:28

61

Views

Properties of $k[x(x-1)]_{\langle x(x-1) \rangle} \subseteq k[x]_{\langle x \rangle}$

Published on 23 Feb 2026 - 19:22

List Question

Definition of homomorphism of local rings

A sandwich theorem for local rings

When extension of a maximal ideal is maximal

Pullback on $\mathbb{A}^{n-1}$ of $\pi$ : $Z(F) \rightarrow \mathbb{A}^{n-1}$

Flat and algebraic (non-integral) local rings extension $R \subseteq S$ with $m_RS=m_S$

Is a localization at a maximal ideal of a polynomial ring a perfect ring?

Dimension of a scheme $X$ at a closed point $x$ and dimension of its local ring.

Flat morphism of local rings

Powers of maximal ideal in local ring with a single prime ideal.

Finite ring extension of local rings, revisited

Finitely generated module whose completion has finite length

Local Cohen-Macaulay rings

Cohen-Macaulayness and regularity of $A/p$

Ideal $I$ with $\operatorname{depth}(I)=d$ in a local CM ring of dimension $d$

Properties of $k[x(x-1)]_{\langle x(x-1) \rangle} \subseteq k[x]_{\langle x \rangle}$

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