List questions from dimension-theory-algebra

Published on 23 Mar 2026 - 1:21

146

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Hochschild dimension

Published on 23 Mar 2026 - 10:10

1.5k

Views

Krull dimension of localization

Published on 22 Mar 2026 - 19:21

131

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Depth and kernel of multiplication map

Published on 22 Mar 2026 - 17:37

70

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Global dimension of the center

Published on 23 Mar 2026 - 6:06

803

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Dimension of vector space of all matrices satisfying AB=BA

Published on 08 Oct 2019 - 17:16

113

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On the dimension of a linear transformation

Published on 03 Nov 2019 - 16:31

177

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

Published on 12 Nov 2019 - 16:49

48

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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 16 Nov 2019 - 15:58

79

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

Published on 25 Nov 2019 - 0:49

84

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On reduction of ideals

Published on 03 Dec 2019 - 5:57

105

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Explicit computation of projective dimension

Published on 03 Dec 2019 - 20:11

535

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

Published on 04 Dec 2019 - 5:48

419

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

Published on 08 Mar 2020 - 4:51

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 24 Mar 2020 - 18:17

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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