List questions from dimension-theory-algebra

Published on 25 Mar 2026 - 9:37

247

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Dimension, graph of functions of several variable and it's visualization.

Published on 25 Mar 2026 - 9:38

48

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If each number line also has the Imaginary number line in it, does that mean x, y, z is six dimensions?

Published on 25 Mar 2026 - 9:40

172

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Finite dimension quotient ring

Published on 06 Apr 2026 - 4:37

130

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Krull dimension of affine algebra is equal to maximum of transcendence degrees

Published on 25 Mar 2026 - 9:43

48

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We have to prove that $H=${$(x_1,...,x_n)\in{\mathbb{R^n}}|a_1x_1+...+a_nx_n=0$} is an hyperplane of $\mathbb{R^n}$.

Published on 25 Mar 2026 - 9:43

38

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norm and projections on inner product space

Published on 11 Apr 2026 - 18:31

265

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Dimension of a vector space/ subspace with a finite basis

Published on 25 Mar 2026 - 9:37

56

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Is it true that $\dim_k R/(IJ) \leq \dim_k R/I + \dim_k R/J$ for ideals $I,J$ of the $k$-algebra $R$ of Krull dimension one?

Published on 25 Mar 2026 - 9:43

163

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Does locally DVR implies Dedekind Domain when it is 1-dimensional, semi-local domain but Noetherian not given

Published on 25 Mar 2026 - 9:38

75

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Gabber's analogue of Bernstein inequality for category $\mathcal{O}$

Published on 26 Apr 2026 - 14:00

480

Views

Is there a thing as a "Negative Dimensional Space"?

Published on 25 Mar 2026 - 9:35

1.2k

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Codimension 1 points

Published on 05 Apr 2026 - 11:02

190

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Dimension of a Variety defined by the Weierstrass Equation

Published on 25 Mar 2026 - 11:13

823

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Criterion for a locally factorial domain

Published on 25 Mar 2026 - 9:36

List Question

Using rank-nullity for rankA + rank(adj(A)) = n iff col(adj(A)) = nullA

Dimension, graph of functions of several variable and it's visualization.

If each number line also has the Imaginary number line in it, does that mean x, y, z is six dimensions?

Finite dimension quotient ring

Krull dimension of affine algebra is equal to maximum of transcendence degrees

We have to prove that $H=${$(x_1,...,x_n)\in{\mathbb{R^n}}|a_1x_1+...+a_nx_n=0$} is an hyperplane of $\mathbb{R^n}$.

norm and projections on inner product space

Dimension of a vector space/ subspace with a finite basis

Is it true that $\dim_k R/(IJ) \leq \dim_k R/I + \dim_k R/J$ for ideals $I,J$ of the $k$-algebra $R$ of Krull dimension one?

Does locally DVR implies Dedekind Domain when it is 1-dimensional, semi-local domain but Noetherian not given

Gabber's analogue of Bernstein inequality for category $\mathcal{O}$

Is there a thing as a "Negative Dimensional Space"?

Codimension 1 points

Dimension of a Variety defined by the Weierstrass Equation

Criterion for a locally factorial domain

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