List questions from maximal-and-prime-ideals

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Generators of a Power of a Prime Ideal

Published on 25 Mar 2026 - 11:32

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Let $X$ denote the closed unit interval, and let $R$ be the ring of continuous functions $X \to \mathbb{R}$.

Published on 17 Jul 2020 - 8:56

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Showing that $q=(z_1,z_2^2)$ is primary in $\mathcal O_2 $

Published on 21 Jul 2020 - 16:04

115

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Homomorphic Image of ideal in Lie algebras

Published on 25 Mar 2026 - 22:30

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Example of $A \subseteq k[x,y]$, $\dim(A)=2$, $J$ non-maximal ideal of $k[x,y]$ and $J \cap A$ a maximal ideal of $A$

Published on 21 Jul 2020 - 22:14

36

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A prime ideal is either maximal right ideal or small right ideal.

Published on 22 Jul 2020 - 6:14

58

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Show that $\mathfrak{m}_p$ is an ideal in $\mathcal{O}_V.$

Published on 30 Mar 2026 - 6:47

53

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If $R$ is a commutative Artinian ring and $a\in R$, is $A_M:=\{f_a\mid f_a:M\to M,m\mapsto ma\}$ an Artinian ring?

Published on 25 Mar 2026 - 11:04

577

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Prime Ideal with 1

Published on 30 Jul 2020 - 7:25

117

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A question about subring of Rational Numbers involving prime and maximal ideals

Published on 31 Jul 2020 - 8:53

561

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Why is a discrete valuation ring's unique prime ideal generated by a non-nilpotent element?

Published on 28 Mar 2026 - 21:57

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What is a minimal prime ideal of a ring

Published on 07 Jul 2016 - 15:16

393

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In a local ring, the maximal ideal $\mathfrak{m}$ is principal $\implies \dim_k(\mathfrak{m}/\mathfrak{m}^2)\leq 1$

Published on 25 Mar 2026 - 11:06

92

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Minimal prime ideals of the ring of continuous functions

Published on 13 Jul 2016 - 19:19

List Question

$K$-valued functions on an infinite set

Generators of a Power of a Prime Ideal

Let $X$ denote the closed unit interval, and let $R$ be the ring of continuous functions $X \to \mathbb{R}$.

Showing that $q=(z_1,z_2^2)$ is primary in $\mathcal O_2 $

Homomorphic Image of ideal in Lie algebras

Example of $A \subseteq k[x,y]$, $\dim(A)=2$, $J$ non-maximal ideal of $k[x,y]$ and $J \cap A$ a maximal ideal of $A$

A prime ideal is either maximal right ideal or small right ideal.

Show that $\mathfrak{m}_p$ is an ideal in $\mathcal{O}_V.$

If $R$ is a commutative Artinian ring and $a\in R$, is $A_M:=\{f_a\mid f_a:M\to M,m\mapsto ma\}$ an Artinian ring?

Prime Ideal with 1

A question about subring of Rational Numbers involving prime and maximal ideals

Why is a discrete valuation ring's unique prime ideal generated by a non-nilpotent element?

What is a minimal prime ideal of a ring

In a local ring, the maximal ideal $\mathfrak{m}$ is principal $\implies \dim_k(\mathfrak{m}/\mathfrak{m}^2)\leq 1$

Minimal prime ideals of the ring of continuous functions

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