List questions from commutative-algebra

Published on 12 Apr 2026 - 20:50

101

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If $f_n, f_{n-1}$ are irreducible homogenous polynomials, then $I := \langle f_n + f_{n-1}\rangle$ is prime.

Published on 09 Sep 2019 - 19:26

62

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Meaning of a Sentence in the Construction of a Ring

Published on 25 Mar 2026 - 4:40

42

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Can we conclude that $v|_{K^*}$ is surjective?

Published on 12 Apr 2026 - 17:01

90

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Which definition of discrete valuation should I choose?

Published on 11 Apr 2026 - 4:11

237

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Are these strengthenings of Serre-Swan and Gelfand-Naimark true?

Published on 25 Mar 2026 - 1:18

313

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Ideal of $k[x,y]$ invariant under an involution

Published on 11 Apr 2026 - 21:24

17

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What's the corresponding monomorphism $Y\to X$ and epimorphism $Y\to Z_i$ which are stated in Proposition 1.2.1?

Published on 16 Mar 2026 - 10:41

330

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Given a commutative diagram, show that $\delta$ is isomorphism

Published on 12 Apr 2026 - 18:10

171

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On Isomorphism of stalk of a line bundle

Published on 25 Mar 2026 - 9:39

414

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Regular Function Constant on Projective Plane Minus a Point

Published on 10 Apr 2026 - 17:50

269

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Zariski topology - closed sets of $\mathbb{A}_\mathbb{C}^2$

Published on 25 Mar 2026 - 13:55

39

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spec is surjective for ring hom which is a free module?

Published on 12 Apr 2026 - 20:50

223

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Examples of perfect Valuation rings, of finite Krull dimension, with non-finitely generated maximal ideal

Published on 12 Apr 2026 - 11:47

110

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A doubt in the proof of Heller's localization theorem in algebraic K-theory

Published on 25 Mar 2026 - 1:17

List Question

Atiyah Macdonald chapter 1, question 21 iii

If $f_n, f_{n-1}$ are irreducible homogenous polynomials, then $I := \langle f_n + f_{n-1}\rangle$ is prime.

Meaning of a Sentence in the Construction of a Ring

Can we conclude that $v|_{K^*}$ is surjective?

Which definition of discrete valuation should I choose?

Are these strengthenings of Serre-Swan and Gelfand-Naimark true?

Ideal of $k[x,y]$ invariant under an involution

What's the corresponding monomorphism $Y\to X$ and epimorphism $Y\to Z_i$ which are stated in Proposition 1.2.1?

Given a commutative diagram, show that $\delta$ is isomorphism

On Isomorphism of stalk of a line bundle

Regular Function Constant on Projective Plane Minus a Point

Zariski topology - closed sets of $\mathbb{A}_\mathbb{C}^2$

spec is surjective for ring hom which is a free module?

Examples of perfect Valuation rings, of finite Krull dimension, with non-finitely generated maximal ideal

A doubt in the proof of Heller's localization theorem in algebraic K-theory

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