List questions from commutative-algebra

Published on 25 Mar 2026 - 7:45

676

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An affine scheme is integral if and only if it is connected and all stalks are integral domains.

Published on 21 Jul 2018 - 3:24

291

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Closed Subgroup is Open in a certain Topological Group

Published on 25 Mar 2026 - 6:27

313

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Unramified implies local-etale

Published on 22 Jul 2018 - 16:22

905

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Example of reduced ring which is not integral domain

Published on 22 Jul 2018 - 17:07

389

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An algebraic proof that every finite extension of $\mathbb Q$ is ramified?

Published on 23 Jul 2018 - 4:02

98

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Common zeros of two univariate polynomials over $\mathbb{C}(y)$

Published on 22 Mar 2026 - 16:54

2.8k

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The Jacobson radical of an artinian ring is nilpotent

Published on 24 Jul 2018 - 18:42

157

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A mild version of Bezout's identity in any commutative ring

Published on 24 Jul 2018 - 23:40

855

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How do I show that this quotient is a Noetherian Ring?

Published on 28 Mar 2026 - 1:12

1.1k

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When is length of a module equal to its dimension as a vector space?

Published on 25 Jul 2018 - 15:01

331

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Question about homomorphisms between free modules

Published on 25 Mar 2026 - 1:33

75

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Does $\sum_{n\ge1}x_n^n$ converge $\mathfrak m$-adically in $K[[x_1,x_2,\dots]]\ ?$

Published on 25 Mar 2026 - 17:19

87

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Dual of a vector space coming from a lattice

Published on 25 Mar 2026 - 18:47

56

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Discrete valuation arising from localizations of $R[[t]]$

Published on 25 Mar 2026 - 9:49

List Question

Properties of the first syzygy over Dedekind domains

An affine scheme is integral if and only if it is connected and all stalks are integral domains.

Closed Subgroup is Open in a certain Topological Group

Unramified implies local-etale

Example of reduced ring which is not integral domain

An algebraic proof that every finite extension of $\mathbb Q$ is ramified?

Common zeros of two univariate polynomials over $\mathbb{C}(y)$

The Jacobson radical of an artinian ring is nilpotent

A mild version of Bezout's identity in any commutative ring

How do I show that this quotient is a Noetherian Ring?

When is length of a module equal to its dimension as a vector space?

Question about homomorphisms between free modules

Does $\sum_{n\ge1}x_n^n$ converge $\mathfrak m$-adically in $K[[x_1,x_2,\dots]]\ ?$

Dual of a vector space coming from a lattice

Discrete valuation arising from localizations of $R[[t]]$

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