List questions from maximal-and-prime-ideals

Published on 29 Dec 2017 - 20:22

35

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Show that $\frac{\mathbb{Q}[x]}{<p(x)>}$ has a solution of $p(x)= x^3 - 6x +2 =0$

Published on 01 Jan 2018 - 14:57

6.9k

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Prime ideals of a localization

Published on 31 Mar 2026 - 6:17

272

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Ideals in a polynomial ring

Published on 28 Mar 2026 - 16:56

861

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commutative rings over which any module $M$ satisfies $\operatorname{Supp}(M)=V(\operatorname{Ann} M)$

Published on 02 Jan 2018 - 18:22

424

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prime ideals of polynomial rings over a local ring

Published on 04 Jan 2018 - 6:07

1.8k

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Show that $4\mathbb{Z}$ is maximal in $2\mathbb{Z}$.

Published on 06 Jan 2018 - 23:30

98

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Commutative rings over which every module $M$ satisfies $\mathrm{Ass}(R/\mathrm{Ann}\; M) \subseteq \mathrm{Ass}(M)$

Published on 28 Mar 2026 - 22:26

294

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Commutative rings with unity over which every non-zero module has an associated prime

Published on 08 Jan 2018 - 10:45

207

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Let $a$ be a non-unit in a ring $R$. Show that $a$ lies in a maximal ideal.

Published on 09 Jan 2018 - 19:29

1.4k

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Prime ideals in $R=\mathbb Z\times\mathbb Z$

Published on 10 Jan 2018 - 12:45

532

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Support of a module with extended scalars

Published on 08 Sep 2010 - 9:58

522

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Is the failure of MaxSpec to be functorial due to homomorphisms which take non-units to units?

Published on 03 Oct 2010 - 19:15

709

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The support of a module is closed?

Published on 09 Dec 2010 - 13:49

171

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Proving that $\mathfrak{p} \in \text{Ass}(M/L)$ and $\text{Ann}(L) \nsubseteq\mathfrak{p}$ implies $\mathfrak{p} \in \text{Ass}(M)$

Published on 11 Dec 2010 - 19:53

List Question

Maximal Ideals in Polynomial Ring Over a Field

Show that $\frac{\mathbb{Q}[x]}{<p(x)>}$ has a solution of $p(x)= x^3 - 6x +2 =0$

Prime ideals of a localization

Ideals in a polynomial ring

commutative rings over which any module $M$ satisfies $\operatorname{Supp}(M)=V(\operatorname{Ann} M)$

prime ideals of polynomial rings over a local ring

Show that $4\mathbb{Z}$ is maximal in $2\mathbb{Z}$.

Commutative rings over which every module $M$ satisfies $\mathrm{Ass}(R/\mathrm{Ann}\; M) \subseteq \mathrm{Ass}(M)$

Commutative rings with unity over which every non-zero module has an associated prime

Let $a$ be a non-unit in a ring $R$. Show that $a$ lies in a maximal ideal.

Prime ideals in $R=\mathbb Z\times\mathbb Z$

Support of a module with extended scalars

Is the failure of MaxSpec to be functorial due to homomorphisms which take non-units to units?

The support of a module is closed?

Proving that $\mathfrak{p} \in \text{Ass}(M/L)$ and $\text{Ann}(L) \nsubseteq\mathfrak{p}$ implies $\mathfrak{p} \in \text{Ass}(M)$

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