List questions from dimension-theory-algebra

Published on 25 Mar 2026 - 7:42

149

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Hochschild dimension

Published on 30 Apr 2026 - 10:14

1.5k

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Krull dimension of localization

Published on 01 Apr 2026 - 8:39

133

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Depth and kernel of multiplication map

Published on 01 Apr 2026 - 13:28

73

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Global dimension of the center

Published on 30 Apr 2026 - 9:56

804

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Dimension of vector space of all matrices satisfying AB=BA

Published on 05 Apr 2026 - 3:19

114

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On the dimension of a linear transformation

Published on 01 Apr 2026 - 18:29

178

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How can the height of a non zero prime ideal be $0$?

Published on 30 Mar 2026 - 5:14

49

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If $R = k[T_0,\cdots,T_n]/I$ is integral, then $\text{dim Proj R}=\text{dim D}_+(T_i)$ for some $i$

Published on 25 Mar 2026 - 7:46

80

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Do linear independent sets of a central (Lie-)algebra remain linear independent in scalar extensions?

Published on 25 Mar 2026 - 7:45

87

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On reduction of ideals

Published on 10 May 2026 - 11:32

106

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Explicit computation of projective dimension

Published on 25 Mar 2026 - 9:22

536

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Hilbert-Samuel multiplicity of a local ring of positive dimension is positive?

Published on 25 Mar 2026 - 7:44

420

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Proof verification: determining the dimension of a polynomial ring from the going up theorem.

Published on 25 Mar 2026 - 7:43

4.8k

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Find the dimension of the subspace of R^4 spanned by the set {(1,0,0,0),(0,1,0,0),(1,2,0,1),(0,0,0,1)}. Hence find a basis for the subspace

Published on 25 Mar 2026 - 7:46

List Question

prove $\dim\mathbb{Z}[X_1,X_2]=3$ from first principles

Hochschild dimension

Krull dimension of localization

Depth and kernel of multiplication map

Global dimension of the center

Dimension of vector space of all matrices satisfying AB=BA

On the dimension of a linear transformation

How can the height of a non zero prime ideal be $0$?

If $R = k[T_0,\cdots,T_n]/I$ is integral, then $\text{dim Proj R}=\text{dim D}_+(T_i)$ for some $i$

Do linear independent sets of a central (Lie-)algebra remain linear independent in scalar extensions?

On reduction of ideals

Explicit computation of projective dimension

Hilbert-Samuel multiplicity of a local ring of positive dimension is positive?

Proof verification: determining the dimension of a polynomial ring from the going up theorem.

Find the dimension of the subspace of R^4 spanned by the set {(1,0,0,0),(0,1,0,0),(1,2,0,1),(0,0,0,1)}. Hence find a basis for the subspace

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