List questions from krull-dimension

Published on 22 Mar 2020 - 20:56

148

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Can a quotient of a polynomial ring by $n-1$ polynomials make $n$ variables $m$th powers?

Published on 27 Mar 2026 - 12:34

77

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Does a closed point of a scheme have an affine open environment with the same dimension?

Published on 25 Mar 2026 - 11:02

39

Views

Why $R[x,y,z,・・・] /（x^2,y^2,z^2,・・・）$ is $0$ dimmensional?

Published on 25 Mar 2026 - 9:27

157

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Existence of system of parameters via prime avoidance

Published on 25 Mar 2026 - 10:57

31

Views

Computing local dimensions of affine and projective space

Published on 26 Mar 2026 - 4:51

130

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Krull dimension of affine algebra is equal to maximum of transcendence degrees

Published on 25 Mar 2026 - 9:43

465

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Injective morphism and dimension of varieties

Published on 23 May 2020 - 17:10

395

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On regular sequence in generating set in a homogeneous ideal in polynomial ring of maximum height

Published on 25 Mar 2026 - 19:58

339

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Describe prime ideals and Krull dimension of $\overline{\mathbb{Q}} \otimes_{\mathbb{Q}} \overline{\mathbb{Q}}$

Published on 30 May 2020 - 18:41

483

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Krull dimension of $K[[x]]$

Published on 06 Jun 2020 - 19:18

636

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Finite dimensional local rings with infinitely many minimal prime ideals

Published on 25 Mar 2026 - 12:29

56

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Is it true that $\dim_k R/(IJ) \leq \dim_k R/I + \dim_k R/J$ for ideals $I,J$ of the $k$-algebra $R$ of Krull dimension one?

Published on 25 Mar 2026 - 9:43

799

Views

Krull dimension of $\mathbb{C}[x,y,z,w]/(xw-yz)$

Published on 08 Jul 2020 - 20:30

400

Views

Krull dimension of $\mathbb{R}[x,x^{-1}]$

Published on 09 Jul 2020 - 20:26

List Question

Krull dimension of $\mathbb{C}[x,y] / (xy)$

Can a quotient of a polynomial ring by $n-1$ polynomials make $n$ variables $m$th powers?

Does a closed point of a scheme have an affine open environment with the same dimension?

Why $R[x,y,z,・・・] /（x^2,y^2,z^2,・・・）$ is $0$ dimmensional?

Existence of system of parameters via prime avoidance

Computing local dimensions of affine and projective space

Krull dimension of affine algebra is equal to maximum of transcendence degrees

Injective morphism and dimension of varieties

On regular sequence in generating set in a homogeneous ideal in polynomial ring of maximum height

Describe prime ideals and Krull dimension of $\overline{\mathbb{Q}} \otimes_{\mathbb{Q}} \overline{\mathbb{Q}}$

Krull dimension of $K[[x]]$

Finite dimensional local rings with infinitely many minimal prime ideals

Is it true that $\dim_k R/(IJ) \leq \dim_k R/I + \dim_k R/J$ for ideals $I,J$ of the $k$-algebra $R$ of Krull dimension one?

Krull dimension of $\mathbb{C}[x,y,z,w]/(xw-yz)$

Krull dimension of $\mathbb{R}[x,x^{-1}]$

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