List questions from commutative-algebra

Published on 31 Mar 2026 - 23:28

188

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Ideal $I$ in a Noetherian ring such that $I+(b)$ and $I+(a)$ are projective, where $ab\in I$

Published on 26 Mar 2026 - 21:27

36

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What is the compositum product module $MN$?

Published on 29 Mar 2026 - 17:07

36

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On a special type of ideal in local Artinian ring

Published on 25 Mar 2026 - 3:02

150

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The localization of a commutative ring with unity

Published on 26 Mar 2026 - 1:02

802

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An isomorphism between the residue field and the fraction field

Published on 25 Mar 2026 - 23:38

74

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A special kind of rings

Published on 01 Apr 2026 - 17:48

56

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$B/\hat{B}$ is integral over $A / \hat{p}$ when $B$ is integral over $A$ and $\hat{B} \cap A = \hat{p}$.

Published on 28 Mar 2026 - 10:04

365

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Equivalent statements of Hensel's lemma

Published on 03 Apr 2026 - 23:00

43

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Nullhomotopy of a chain map

Published on 30 Mar 2026 - 16:03

131

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Monic polynomial with coefficients in $\mathbb F_2$ whose companion matrix is invertible and has largest possible multiplicative order

Published on 26 Mar 2026 - 1:10

59

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Sequence of modules

Published on 15 Oct 2018 - 17:24

642

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How do I find the associated, minimal and embedded prime ideals?

Published on 15 Oct 2018 - 18:39

418

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Show that a tensor product is zero

Published on 15 Oct 2018 - 19:28

55

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Example of a principal prime ideal containing a proper prime non-zero ideal.

Published on 25 Mar 2026 - 6:03

List Question

On projective ideals

Ideal $I$ in a Noetherian ring such that $I+(b)$ and $I+(a)$ are projective, where $ab\in I$

What is the compositum product module $MN$?

On a special type of ideal in local Artinian ring

The localization of a commutative ring with unity

An isomorphism between the residue field and the fraction field

A special kind of rings

$B/\hat{B}$ is integral over $A / \hat{p}$ when $B$ is integral over $A$ and $\hat{B} \cap A = \hat{p}$.

Equivalent statements of Hensel's lemma

Nullhomotopy of a chain map

Monic polynomial with coefficients in $\mathbb F_2$ whose companion matrix is invertible and has largest possible multiplicative order

Sequence of modules

How do I find the associated, minimal and embedded prime ideals?

Show that a tensor product is zero

Example of a principal prime ideal containing a proper prime non-zero ideal.

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