List questions from krull-dimension

Published on 03 Jul 2017 - 12:22

272

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What is an example of a noetherian local integral domain $R$ of Krull dimension 1?

Published on 26 Mar 2026 - 2:47

107

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Does finite type preserve finite dimensionality?

Published on 14 Jul 2017 - 18:20

169

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Krull dimension of the ring $\mathbb{Q}[\pi,\sqrt{11},x,y]/I$

Published on 16 Jul 2017 - 21:21

130

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Projective variety $Y\subset P^n,\dim(Y)\geq 1$ and hypersurface $H\subset P^n$. $H\cap Y\neq\emptyset$

Published on 16 Aug 2017 - 21:57

70

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Why are the $Q_i$ unique?

Published on 23 Aug 2017 - 19:29

57

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Why $Q_i=Q'_i$ for $I=⋂_{i=1}^mQ_i'=⋂_{i=1}^nQ_i$

Published on 23 Aug 2017 - 21:03

271

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Polynomial over local ring ( with finite residue field ) of Krull dimension $0$

Published on 28 Mar 2026 - 10:24

80

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Some local ring has positive characteristic

Published on 28 Mar 2026 - 10:17

497

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Intuition on Krull Principal Ideal Theorem Proof's Major Ingredients

Published on 29 Aug 2017 - 17:30

504

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About Hartshorne's Proposition 1.10

Published on 25 Mar 2026 - 16:09

204

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Why is this a corollary of [Noetherian of Krull dimension 0 iff Artinian]?

Published on 09 Sep 2017 - 6:57

99

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Dimension(s) of a module

Published on 28 Sep 2017 - 21:56

716

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Flatness over a regular local ring of dimension $1$

Published on 27 Mar 2026 - 7:14

85

Views

Proving an ideal is prime and calculating dimension of the corresponding quotient ring

Published on 09 Nov 2017 - 18:52

List Question

Krull dimension of $k[x_1,...,x_n]$

What is an example of a noetherian local integral domain $R$ of Krull dimension 1?

Does finite type preserve finite dimensionality?

Krull dimension of the ring $\mathbb{Q}[\pi,\sqrt{11},x,y]/I$

Projective variety $Y\subset P^n,\dim(Y)\geq 1$ and hypersurface $H\subset P^n$. $H\cap Y\neq\emptyset$

Why are the $Q_i$ unique?

Why $Q_i=Q'_i$ for $I=⋂_{i=1}^mQ_i'=⋂_{i=1}^nQ_i$

Polynomial over local ring ( with finite residue field ) of Krull dimension $0$

Some local ring has positive characteristic

Intuition on Krull Principal Ideal Theorem Proof's Major Ingredients

About Hartshorne's Proposition 1.10

Why is this a corollary of [Noetherian of Krull dimension 0 iff Artinian]?

Dimension(s) of a module

Flatness over a regular local ring of dimension $1$

Proving an ideal is prime and calculating dimension of the corresponding quotient ring

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