List questions from ideals

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Finding a particular principal open subset of $Spec R$

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What kind of rings have exactly three ideals?

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Quotient $M/M^2$ is finite dimensional over $R/M$ in local Noetherian ring?

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How to prove that the intersection of ideals is an ideal

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Quotient ring isomorphism

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Counterexamples for lcm-gcd identity and modular law for rings

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The nil-radical is an intersection of all prime ideals proof

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What is the maximal ideal of $\mathbb{Q}[x,y]$ corresponding to $(\sqrt{2},\sqrt{2})$?

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Prime radical that is nil but not nilpotent

Published on 25 Mar 2026 - 17:53

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Suppose that $I$ is an ideal of $J$ and that $J$ is an ideal of $R$. prove that if $I$ has a unity then $I$ is an ideal of $R$

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In a PID every nonzero prime ideal is maximal

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Suppose that R is a commutative ring with unity such that for each $a$ in $R$ there is an integer $n > 1\mid a^n =a$. Every prime ideal is maximal?

Published on 13 Jul 2014 - 20:18

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The geometric interpretation for extension of ideals?

Published on 14 Jul 2014 - 4:41

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Expressing a hereditary subalgebra in terms of a state

Published on 29 Mar 2026 - 12:41

List Question

Locally unital ideals

Finding a particular principal open subset of $Spec R$

What kind of rings have exactly three ideals?

Quotient $M/M^2$ is finite dimensional over $R/M$ in local Noetherian ring?

How to prove that the intersection of ideals is an ideal

Quotient ring isomorphism

Counterexamples for lcm-gcd identity and modular law for rings

The nil-radical is an intersection of all prime ideals proof

What is the maximal ideal of $\mathbb{Q}[x,y]$ corresponding to $(\sqrt{2},\sqrt{2})$?

Prime radical that is nil but not nilpotent

Suppose that $I$ is an ideal of $J$ and that $J$ is an ideal of $R$. prove that if $I$ has a unity then $I$ is an ideal of $R$

In a PID every nonzero prime ideal is maximal

Suppose that R is a commutative ring with unity such that for each $a$ in $R$ there is an integer $n > 1\mid a^n =a$. Every prime ideal is maximal?

The geometric interpretation for extension of ideals?

Expressing a hereditary subalgebra in terms of a state

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