List questions from commutative-algebra

Published on 05 Apr 2026 - 18:32

469

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Finding associated primes of quotient modules

Published on 30 Mar 2026 - 14:56

70

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Does the following property of matrices hold for any commutative ring with identity?

Published on 01 Apr 2026 - 19:38

46

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Prime ideal being maximal ideal in an affine algebra

Published on 29 Mar 2026 - 12:05

56

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On a sufficient condition for being a prime ideal

Published on 25 Mar 2026 - 9:25

99

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On a subset of the associated primes of tensor product of modules

Published on 25 Mar 2026 - 6:13

65

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In which rings does this multiplicative analogue of Bézout's theorem hold?

Published on 06 Apr 2026 - 9:26

647

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Show that the ring $k[x,y,z]/(x^2-yz)$ is normal

Published on 06 Apr 2026 - 12:38

55

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Show that every non-zero proper ideal of $R$ can be written as a product of finitely many prime ideals of $R$, determined uniquely, upto order.

Published on 06 Apr 2026 - 17:51

266

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Presentation matrix for module in terms of other presentation matrices

Published on 01 Apr 2026 - 21:27

268

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$A \subset B$ be integral and flat extension then it is faithfully flat.

Published on 23 Feb 2026 - 4:20

62

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Commutative ring with finitely many minimal primes

Published on 26 Mar 2026 - 9:40

318

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Localization of $k[t]$ at a prime ideal is not a finitely generated $k[t]$-algebra?

Published on 26 Mar 2026 - 8:00

123

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Minimal prime ideals of quotient modules

Published on 27 Mar 2026 - 20:19

64

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Describing the kernel of this surjection

Published on 18 Mar 2019 - 23:37

List Question

Krull Dimension equality.

Finding associated primes of quotient modules

Does the following property of matrices hold for any commutative ring with identity?

Prime ideal being maximal ideal in an affine algebra

On a sufficient condition for being a prime ideal

On a subset of the associated primes of tensor product of modules

In which rings does this multiplicative analogue of Bézout's theorem hold?

Show that the ring $k[x,y,z]/(x^2-yz)$ is normal

Show that every non-zero proper ideal of $R$ can be written as a product of finitely many prime ideals of $R$, determined uniquely, upto order.

Presentation matrix for module in terms of other presentation matrices

$A \subset B$ be integral and flat extension then it is faithfully flat.

Commutative ring with finitely many minimal primes

Localization of $k[t]$ at a prime ideal is not a finitely generated $k[t]$-algebra?

Minimal prime ideals of quotient modules

Describing the kernel of this surjection

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