List questions from commutative-algebra

Published on 15 Apr 2026 - 9:44

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Rings which are finitely generated and free over Cohen-Macaulay rings are also Cohen-Macaulay

Published on 16 Apr 2026 - 5:03

105

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Common equivalent conditions for Cohen-Macaulayness of a ring

Published on 15 Apr 2026 - 21:18

85

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Canonical homomorphisms $R_{\mathfrak{p}_i} \to R/\mathfrak{p}_i^n$ are isomorphisms when $R$ is artinian

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857

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Relation between faithfully flatness and map of $Spec$

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3.1k

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Maximal ideal in the ring of polynomials over $\mathbb Z$

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474

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(Co)homology of free symmetric algebra

Published on 11 Apr 2026 - 21:54

318

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Noether normalization and surjectivity (revisited)

Published on 13 Apr 2026 - 5:44

155

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Let I, J ideals. Are they equal?

Published on 27 Mar 2026 - 8:23

548

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Computing a regular sequence of generators for an ideal

Published on 11 Apr 2026 - 6:53

300

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$M_{\mathfrak{p}} \otimes_{R_{\mathfrak{p}}} N_{\mathfrak{p}} = 0$ implies $M_{\mathfrak{p}} = 0$ or $N_{\mathfrak{p}} = 0$

Published on 17 Apr 2026 - 11:44

551

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Why is $ \mathrm{Frac} ( A / \mathfrak{p} ) = A_{\mathfrak{p}} / \mathfrak{p} A_{\mathfrak{p}} $?

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82

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Commutative ring can be homomorphically mapped onto field

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1.3k

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A condition for a homogeneous ideal to be prime

Published on 12 Apr 2026 - 22:00

267

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A local PID is a Euclidean domain

Published on 15 Apr 2026 - 0:17

List Question

Pseudo associated primes and short exact sequences

Rings which are finitely generated and free over Cohen-Macaulay rings are also Cohen-Macaulay

Common equivalent conditions for Cohen-Macaulayness of a ring

Canonical homomorphisms $R_{\mathfrak{p}_i} \to R/\mathfrak{p}_i^n$ are isomorphisms when $R$ is artinian

Relation between faithfully flatness and map of $Spec$

Maximal ideal in the ring of polynomials over $\mathbb Z$

(Co)homology of free symmetric algebra

Noether normalization and surjectivity (revisited)

Let I, J ideals. Are they equal?

Computing a regular sequence of generators for an ideal

$M_{\mathfrak{p}} \otimes_{R_{\mathfrak{p}}} N_{\mathfrak{p}} = 0$ implies $M_{\mathfrak{p}} = 0$ or $N_{\mathfrak{p}} = 0$

Why is $ \mathrm{Frac} ( A / \mathfrak{p} ) = A_{\mathfrak{p}} / \mathfrak{p} A_{\mathfrak{p}} $?

Commutative ring can be homomorphically mapped onto field

A condition for a homogeneous ideal to be prime

A local PID is a Euclidean domain

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