List questions from commutative-algebra

Published on 14 Apr 2026 - 8:54

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Describing integral closure of quadratic number fields

Published on 25 Apr 2026 - 21:59

90

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Classes of rings C[x,y]/(x²+cy²+ey+f)

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Can a multiplicatively closed subset contain zero?

Published on 10 Apr 2026 - 5:05

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Are any of these rings isomorphic?

Published on 15 Apr 2026 - 0:26

313

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Castelnuovo-Mumford regularity of a Veronese subring

Published on 14 Apr 2026 - 19:21

361

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Atiyah-MacDonald Ch. 4 exercise 20: what's the module analogue of $\sqrt{\mathfrak{a}+\mathfrak{b}} = \sqrt{\sqrt{\mathfrak{a}}+\sqrt{\mathfrak{b}}}$?

Published on 14 Apr 2026 - 18:01

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Is the localization of a ring $R$ at a prime ideal a finitely generated algebra over $R$?

Published on 12 Apr 2026 - 17:00

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Proving equivalent versions of faithfully flatness.

Published on 17 Apr 2026 - 15:05

340

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Proof of the Jacobian criterion - book of Eisenbud

Published on 17 Apr 2026 - 4:26

324

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Flatness and Cohen-Macaulay rings

Published on 13 Apr 2026 - 21:40

552

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The local rings of $xy=0$ and $xy+x^3+y^3=0$ are not isomorphic, but have isomorphic completions?

Published on 15 Apr 2026 - 4:44

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Ideals agreeing in a localization

Published on 15 Apr 2026 - 17:52

167

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Finite Extension of Integral Domains.

Published on 13 Apr 2026 - 22:31

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prove that this ideal is radical

Published on 11 Apr 2026 - 22:25

List Question

Proof with exact sequence of modules

Describing integral closure of quadratic number fields

Classes of rings C[x,y]/(x²+cy²+ey+f)

Can a multiplicatively closed subset contain zero?

Are any of these rings isomorphic?

Castelnuovo-Mumford regularity of a Veronese subring

Atiyah-MacDonald Ch. 4 exercise 20: what's the module analogue of $\sqrt{\mathfrak{a}+\mathfrak{b}} = \sqrt{\sqrt{\mathfrak{a}}+\sqrt{\mathfrak{b}}}$?

Is the localization of a ring $R$ at a prime ideal a finitely generated algebra over $R$?

Proving equivalent versions of faithfully flatness.

Proof of the Jacobian criterion - book of Eisenbud

Flatness and Cohen-Macaulay rings

The local rings of $xy=0$ and $xy+x^3+y^3=0$ are not isomorphic, but have isomorphic completions?

Ideals agreeing in a localization

Finite Extension of Integral Domains.

prove that this ideal is radical

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