List questions from zariski-topology

Published on 22 Apr 2018 - 22:13

1.5k

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If there exists an irreducible open covering, then the space is irreducible.

Published on 24 Apr 2018 - 11:04

49

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Showing a property of the zariski topology

Published on 22 Mar 2026 - 9:55

69

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Let $R$ be a commutative ring with unity such that for some $n\ge 2$, $\prod_{1\le i <j\le n} (x_i-x_j)=0$ for every $x_1,...,x_n \in R$

Published on 21 May 2018 - 20:18

462

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Irreducible Hausdorff Topological Spaces

Published on 22 Mar 2026 - 15:25

203

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Commutative, infinite, Noetherian ring with no non-trivial nilpotent and no non-trivial idempotent

Published on 25 Mar 2026 - 1:28

78

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Does there exist $m\ne n$ such that some open subset of $\mathbb A^m_k$ is homeomorphic with some open subset of $\mathbb A^n_k$?

Published on 25 Mar 2026 - 4:43

51

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Description of irreducible closed subsets of $\mathbb A^m_k \times \mathbb A^n_k$

Published on 25 Mar 2026 - 3:03

229

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left hull-kernel topology

Published on 21 Mar 2026 - 23:39

397

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Let $X$ be an affine variety and U ⊆ X a dense open set. Then dim X \ U < dim X.

Published on 25 Mar 2026 - 3:03

299

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Locales as spaces of ideal/imaginary points

Published on 22 Mar 2026 - 18:31

69

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An exercise of commutative algebra.

Published on 22 Mar 2026 - 5:37

1.6k

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Proof of Theorem of Dimension of Fibres

Published on 22 Mar 2026 - 16:00

155

Views

$Mat_{ \infty,n }(\mathbb C)$ of max rank is contractible

Published on 25 Mar 2026 - 6:03

416

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Zariski topology and product topology on $\mathbb A_k^m \times \mathbb A_k^n$

Published on 25 Mar 2026 - 6:12

List Question

Zariski Topology: $V(S)=V(\langle S\rangle)$

If there exists an irreducible open covering, then the space is irreducible.

Showing a property of the zariski topology

Let $R$ be a commutative ring with unity such that for some $n\ge 2$, $\prod_{1\le i <j\le n} (x_i-x_j)=0$ for every $x_1,...,x_n \in R$

Irreducible Hausdorff Topological Spaces

Commutative, infinite, Noetherian ring with no non-trivial nilpotent and no non-trivial idempotent

Does there exist $m\ne n$ such that some open subset of $\mathbb A^m_k$ is homeomorphic with some open subset of $\mathbb A^n_k$?

Description of irreducible closed subsets of $\mathbb A^m_k \times \mathbb A^n_k$

left hull-kernel topology

Let $X$ be an affine variety and U ⊆ X a dense open set. Then dim X \ U < dim X.

Locales as spaces of ideal/imaginary points

An exercise of commutative algebra.

Proof of Theorem of Dimension of Fibres

$Mat_{ \infty,n }(\mathbb C)$ of max rank is contractible

Zariski topology and product topology on $\mathbb A_k^m \times \mathbb A_k^n$

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