List questions from maximal-and-prime-ideals

Published on 01 Feb 2015 - 23:04

101

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Proof check: find all Prime ideals of $R[T]/\langle x^n\rangle$,

Published on 02 Feb 2015 - 1:55

693

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Preimage of prime ideal under induced map

Published on 02 Feb 2015 - 9:27

811

Views

Why for every prime ideal there exists a submodule such that annihilator of submodule is this prime ideal?

Published on 02 Feb 2015 - 17:38

958

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Prime elements in a noncommutative ring

Published on 01 Apr 2026 - 15:11

163

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Question on prime ideals of ${\mathbb Z}[x]$

Published on 08 Feb 2015 - 13:49

94

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maximal ideal not containing some expression

Published on 11 Feb 2015 - 13:35

1.5k

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Assume $P$ is a prime ideal s.t. $K \subset P$, show $f(P)$ is a prime ideal

Published on 12 Feb 2015 - 6:20

540

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Spectrum of a ring of continuous functions

Published on 13 Feb 2015 - 5:03

574

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Find prime ideals of the ring $\Bbb Z [ \sqrt[3]2]$ which contain $5$

Published on 14 Feb 2015 - 21:51

267

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$(x^2+1)\mathbb{R}[x]$ is a maximal ideal in $\mathbb{R}[x]$

Published on 17 Feb 2015 - 20:25

329

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How to compute the prime ideal factorization of a given ideal in an algebraic ring

Published on 18 Feb 2015 - 3:11

320

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How do I find the spectrum of a ring?

Published on 01 Apr 2026 - 16:42

222

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what can be said about $spec(R_m)$, where $R_m$ is localization of $R$ at maximal ideal $m$

Published on 29 Mar 2026 - 15:33

300

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To prove: For $p$ prime, $\zeta \in \mathbb{C}*$ and $ord(\zeta) = p$, $(1-\zeta)$ is a prime ideal in $\mathbb{Z}[\zeta]$

Published on 28 Mar 2026 - 22:31

List Question

Given a radical ideal, prove that the ideal cannot be prime

Proof check: find all Prime ideals of $R[T]/\langle x^n\rangle$,

Preimage of prime ideal under induced map

Why for every prime ideal there exists a submodule such that annihilator of submodule is this prime ideal?

Prime elements in a noncommutative ring

Question on prime ideals of ${\mathbb Z}[x]$

maximal ideal not containing some expression

Assume $P$ is a prime ideal s.t. $K \subset P$, show $f(P)$ is a prime ideal

Spectrum of a ring of continuous functions

Find prime ideals of the ring $\Bbb Z [ \sqrt[3]2]$ which contain $5$

$(x^2+1)\mathbb{R}[x]$ is a maximal ideal in $\mathbb{R}[x]$

How to compute the prime ideal factorization of a given ideal in an algebraic ring

How do I find the spectrum of a ring?

what can be said about $spec(R_m)$, where $R_m$ is localization of $R$ at maximal ideal $m$

To prove: For $p$ prime, $\zeta \in \mathbb{C}*$ and $ord(\zeta) = p$, $(1-\zeta)$ is a prime ideal in $\mathbb{Z}[\zeta]$

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