List questions from dimension-theory-algebra

Published on 25 Mar 2026 - 14:38

108

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(quasi)coherent rings for which $\dim R[T]\neq \dim R+1$

Published on 07 May 2026 - 8:56

1.4k

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Codimension and height of prime ideals

Published on 04 May 2026 - 8:58

516

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

Published on 29 Mar 2026 - 4:58

158

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Proof of algebraic set involving dimension

Published on 26 Apr 2016 - 11:24

513

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Base change and relative dimension

Published on 25 Mar 2026 - 14:38

667

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Lower bound on dimension of fibres of a dominant mophism of irreducible affine varieties

Published on 23 Mar 2026 - 3:51

47.9k

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A proof of $\dim(R[T])=\dim(R)+1$ without prime ideals?

Published on 25 Mar 2026 - 14:34

509

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Defining the Rank of a Projective Module

Published on 25 Mar 2026 - 14:32

330

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Krull dimension of a $\mathbb Q$-algebra

Published on 25 Mar 2026 - 14:37

154

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Converse of a dimension lemma

Published on 25 Mar 2026 - 14:31

680

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Equivalence of definitions of Krull dimension of a module

Published on 25 Mar 2026 - 14:34

1.9k

Views

Invariant dimension property on a ring without zero divisors

Published on 25 Mar 2026 - 14:30

248

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Vanishing of $\text{Ext}(M,R)$ for Noetherian $R$

Published on 25 Mar 2026 - 14:33

697

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Krull dimension of the ring $K[t^{-1},t]$

Published on 25 Mar 2026 - 14:33

List Question

Finding dimension of a submodule

(quasi)coherent rings for which $\dim R[T]\neq \dim R+1$

Codimension and height of prime ideals

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

Proof of algebraic set involving dimension

Base change and relative dimension

Lower bound on dimension of fibres of a dominant mophism of irreducible affine varieties

A proof of $\dim(R[T])=\dim(R)+1$ without prime ideals?

Defining the Rank of a Projective Module

Krull dimension of a $\mathbb Q$-algebra

Converse of a dimension lemma

Equivalence of definitions of Krull dimension of a module

Invariant dimension property on a ring without zero divisors

Vanishing of $\text{Ext}(M,R)$ for Noetherian $R$

Krull dimension of the ring $K[t^{-1},t]$

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