List questions from commutative-algebra

Published on 23 Mar 2026 - 6:15

71

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Example of a ring $R$ and a prime $0\neq P\unlhd R$ such that $R_P$ is a field?

Published on 25 Mar 2026 - 22:05

438

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A finitely generated $k$-algebra which is not a finitely generated $k$-module

Published on 26 Jun 2018 - 2:23

91

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Quotienting by the Leading Term Ideal

Published on 25 Mar 2026 - 7:48

104

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Lift of chain complex diagram with acyclicity

Published on 30 Mar 2026 - 3:38

107

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$\operatorname{Hom}_R(R/fR,X)$ is an exact functor

Published on 30 Mar 2026 - 3:38

249

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7 points in $\mathbb {P}^3$ in general linear position

Published on 25 Mar 2026 - 12:32

733

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Why are 'finite morphisms' important in algebraic geometry? And what does a module of finite type mean?

Published on 25 Mar 2026 - 20:27

85

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Question on a property related to cyclotomic fields and thaine's theorem

Published on 25 Mar 2026 - 14:12

442

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Subrings of localizations

Published on 26 Mar 2026 - 22:57

1k

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Inner product in module theory

Published on 26 Mar 2026 - 22:04

69

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isomorphism of some rings and intuition

Published on 28 Jun 2018 - 18:37

98

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On the subring $k + Y k [X,Y]$ of the polynomial ring $k[X,Y]$

Published on 23 Feb 2026 - 2:31

79

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The two definitions of Cohen-Macaulay ring

Published on 30 Jun 2018 - 9:17

54

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Condition to ensure $n$ equations in $\mathbb P^n$ cut out maximal points

Published on 25 Mar 2026 - 23:08

List Question

A relation between common roots of $f$ and $g$ and common roots of $f-\lambda$ and $g-\lambda$

Example of a ring $R$ and a prime $0\neq P\unlhd R$ such that $R_P$ is a field?

A finitely generated $k$-algebra which is not a finitely generated $k$-module

Quotienting by the Leading Term Ideal

Lift of chain complex diagram with acyclicity

$\operatorname{Hom}_R(R/fR,X)$ is an exact functor

7 points in $\mathbb {P}^3$ in general linear position

Why are 'finite morphisms' important in algebraic geometry? And what does a module of finite type mean?

Question on a property related to cyclotomic fields and thaine's theorem

Subrings of localizations

Inner product in module theory

isomorphism of some rings and intuition

On the subring $k + Y k [X,Y]$ of the polynomial ring $k[X,Y]$

The two definitions of Cohen-Macaulay ring

Condition to ensure $n$ equations in $\mathbb P^n$ cut out maximal points

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