List questions from krull-dimension

Published on 27 Mar 2026 - 13:27

515

Views

When does the equality $\mathrm{ht}\:\mathfrak{p}+\mathrm{coht}\:\mathfrak{p}=\dim R$ happen?

Published on 16 Apr 2016 - 21:51

421

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Fibers of extension of scalars to algebraic closure of an affine variety is of dimension 0.

Published on 24 Apr 2016 - 0:47

139

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Krull dimension of affine $\Bbbk$-algebra

Published on 25 Apr 2016 - 12:11

507

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Krull dimension of a $\Bbbk$-algebra

Published on 25 Apr 2016 - 16:08

203

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Krull dimension of an algebra

Published on 26 Apr 2016 - 7:59

643

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Height of prime ideal containing the variable of a polynomial ring

Published on 26 Apr 2016 - 21:29

750

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Krull dimension on localization

Published on 28 Apr 2016 - 7:17

67

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Krull dimension localization with coefficients

Published on 28 Apr 2016 - 10:33

761

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System of parameters in Noetherian local rings

Published on 28 Mar 2026 - 5:26

256

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Dimension of the stalk at the point in the closure of an open subscheme

Published on 04 May 2016 - 12:48

323

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Dimension of irreducible component of reduced ring

Published on 06 May 2016 - 12:32

875

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$A$ is an affine $K$-algebra and $f$ a non-zero divisor of $A$. Can one say that $\dim A=\dim A_f$?

Published on 13 May 2016 - 20:44

1.7k

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Dimension of product of affine varieties

Published on 14 May 2016 - 9:30

702

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Can I use Krull dimension to test if a sequence of polynomials is regular?

Published on 15 May 2016 - 19:12

List Question

Valuation rings of dim 1,2

When does the equality $\mathrm{ht}\:\mathfrak{p}+\mathrm{coht}\:\mathfrak{p}=\dim R$ happen?

Fibers of extension of scalars to algebraic closure of an affine variety is of dimension 0.

Krull dimension of affine $\Bbbk$-algebra

Krull dimension of a $\Bbbk$-algebra

Krull dimension of an algebra

Height of prime ideal containing the variable of a polynomial ring

Krull dimension on localization

Krull dimension localization with coefficients

System of parameters in Noetherian local rings

Dimension of the stalk at the point in the closure of an open subscheme

Dimension of irreducible component of reduced ring

$A$ is an affine $K$-algebra and $f$ a non-zero divisor of $A$. Can one say that $\dim A=\dim A_f$?

Dimension of product of affine varieties

Can I use Krull dimension to test if a sequence of polynomials is regular?

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