List questions from krull-dimension

Published on 25 Mar 2026 - 20:10

231

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Krull dimension of $A[x]/\langle x^2 + 1 \rangle$

Published on 17 Jun 2015 - 9:27

2k

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Example: Krull dimension 1 but not a PID

Published on 22 Jun 2015 - 8:26

74

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How does one find the Krull dimension of a composite ring?

Published on 23 Jun 2015 - 4:27

166

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Is the dimension of a finitely generated $K$-subalgebra of $K[X_1,\ldots,X_n]$ bounded above by $n$?

Published on 24 Jun 2015 - 19:37

731

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What is the convention for the codimension of an empty set?

Published on 02 Jul 2015 - 19:41

323

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Finding the Krull dimension of a quotient ring $\mathbb{C}[x,y,z]/I$

Published on 04 Jul 2015 - 2:13

118

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Why the dimension of $R/(a)$ is $0$?

Published on 14 Jul 2015 - 9:06

217

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Extension of rings decreasing Krull dimension

Published on 17 Jul 2015 - 13:38

309

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Non-domain of Krull dimension zero

Published on 18 Jul 2015 - 18:14

476

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Is the ring $A[x_1, \ldots, x_n]$ Cohen-Macaulay? Does the dimension formula hold?

Published on 25 Mar 2026 - 22:03

318

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When will $A[x_1, \ldots, x_n]$ satisfy the dimension formula?

Published on 22 Jul 2015 - 6:57

447

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What is the Krull dimension of $A[x,y,z]/\langle xy,xz \rangle$

Published on 27 Mar 2026 - 17:57

204

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A doubt on Krull's Principal Ideal Theorem Proof

Published on 27 Mar 2026 - 17:51

1.8k

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Dimension of a quotient ring

Published on 06 Aug 2015 - 1:16

List Question

How can one show that an ideal with some property is zero-dimensional?

Krull dimension of $A[x]/\langle x^2 + 1 \rangle$

Example: Krull dimension 1 but not a PID

How does one find the Krull dimension of a composite ring?

Is the dimension of a finitely generated $K$-subalgebra of $K[X_1,\ldots,X_n]$ bounded above by $n$?

What is the convention for the codimension of an empty set?

Finding the Krull dimension of a quotient ring $\mathbb{C}[x,y,z]/I$

Why the dimension of $R/(a)$ is $0$?

Extension of rings decreasing Krull dimension

Non-domain of Krull dimension zero

Is the ring $A[x_1, \ldots, x_n]$ Cohen-Macaulay? Does the dimension formula hold?

When will $A[x_1, \ldots, x_n]$ satisfy the dimension formula?

What is the Krull dimension of $A[x,y,z]/\langle xy,xz \rangle$

A doubt on Krull's Principal Ideal Theorem Proof

Dimension of a quotient ring

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