List questions from maximal-and-prime-ideals

Published on 07 Jun 2021 - 5:29

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Exercise 5.6(e) of Cox's Primes of the Form $x^2+ny^2$

Published on 27 Mar 2026 - 8:46

644

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If $R$ is a principal ideal domain, then every proper ideal of $R$ is contained in a maximal ideal of $R$.

Published on 16 Jun 2021 - 14:43

293

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Proving $\dim (R[[X]]) = \dim (R) + 1$ by using Krull's Principal Ideal Theorem, $R$ noetherian

Published on 29 Mar 2026 - 16:49

95

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Examine whether $(X^2+4,X)$ is maximal ideal of $\Bbb Z[X]$

Published on 17 Jun 2021 - 16:46

19

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Minimal Ideals In LA Semigroup

Published on 05 Apr 2026 - 22:17

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quotient of the ring of integers by a prime ideal

Published on 27 Mar 2026 - 8:46

250

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Describing $\text{Spec}(\mathbb{F}_p[x])$

Published on 27 Jun 2021 - 13:31

85

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How to prove : $6\mathbb Z /24\mathbb Z $ is an ideal in $\mathbb Z /24\mathbb Z $ , what are elements of $6\mathbb Z /24\mathbb Z $

Published on 29 Jun 2021 - 22:05

209

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Ideal generated by maximal ideal and some other element of integral domain.

Published on 12 Jul 2021 - 7:23

176

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Maximal elements of chain of colon ideal is prime ideal.

Published on 18 Jul 2021 - 5:37

187

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An ideal $\langle x,y \rangle$ in $k[x,y]$

Published on 18 Jul 2021 - 22:44

152

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Relation how non-reduced and how embedded prime ideal

Published on 20 Jul 2021 - 17:13

715

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$R\neq0$ com ring w/ 1.If $I$ is an ideal of $R$ such that $1+a$ is a unit in $R$ for all $a\in I$ then $I$ is contained in every maximal ideal of $R$

Published on 29 Jul 2021 - 22:51

389

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Let R be a PID. Then, every nonempty set of ideals of R has a maximal element

Published on 01 Aug 2021 - 1:37

List Question

how to prove that the following ideals in $\mathbb{Q}[x]/(x^2(x-1))$ are not prime

Exercise 5.6(e) of Cox's Primes of the Form $x^2+ny^2$

If $R$ is a principal ideal domain, then every proper ideal of $R$ is contained in a maximal ideal of $R$.

Proving $\dim (R[[X]]) = \dim (R) + 1$ by using Krull's Principal Ideal Theorem, $R$ noetherian

Examine whether $(X^2+4,X)$ is maximal ideal of $\Bbb Z[X]$

Minimal Ideals In LA Semigroup

quotient of the ring of integers by a prime ideal

Describing $\text{Spec}(\mathbb{F}_p[x])$

How to prove : $6\mathbb Z /24\mathbb Z $ is an ideal in $\mathbb Z /24\mathbb Z $ , what are elements of $6\mathbb Z /24\mathbb Z $

Ideal generated by maximal ideal and some other element of integral domain.

Maximal elements of chain of colon ideal is prime ideal.

An ideal $\langle x,y \rangle$ in $k[x,y]$

Relation how non-reduced and how embedded prime ideal

$R\neq0$ com ring w/ 1.If $I$ is an ideal of $R$ such that $1+a$ is a unit in $R$ for all $a\in I$ then $I$ is contained in every maximal ideal of $R$

Let R be a PID. Then, every nonempty set of ideals of R has a maximal element

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