List questions from ideals

Published on 26 Mar 2026 - 9:40

31

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Let I be a f.g. ideal of R. Let S be the set of ideals J which do not include I. Show S has maximal element.

Published on 17 Mar 2019 - 23:39

96

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Find a maximal ideal in $F_7[x]/(x^2+5)$

Published on 18 Mar 2019 - 0:13

593

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Ideal with no zero divisors implies integral domain?

Published on 20 Mar 2019 - 15:07

66

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How to plot ideals of rings

Published on 25 Mar 2026 - 15:21

165

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If $P$ is a prime ideal of $R$ and $X\subseteq P$ then there's a minimal ideal

Published on 29 Mar 2026 - 12:11

823

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Product of two coprime ideals in a commutative ring.

Published on 22 Mar 2019 - 20:10

71

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Proposition $(S_1,\ldots,S_r)$ from commutative algebra

Published on 23 Mar 2019 - 13:12

532

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Primary decomposition of $(x^2, xy, xz, yz)$ in $K[x, y, z]$

Published on 25 Mar 2026 - 17:12

402

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An ideal is radical if and only if $x^2\in I\Rightarrow x\in I$

Published on 24 Mar 2019 - 5:58

133

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One element set for generating an ideal

Published on 24 Mar 2019 - 13:44

64

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When is this statement true $\frac{a}{s} \in S^{-1}I \implies a \in I$?

Published on 26 Mar 2026 - 9:42

64

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How to find polynomials satisfying a given ideal of relations

Published on 25 Mar 2026 - 7:48

342

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Proving ideal is prime ideal

Published on 29 Mar 2026 - 12:12

40

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Checking Nakayama's lemma for a specific example

Published on 26 Mar 2019 - 13:28

List Question

Commutative ring with finitely many minimal primes

Let I be a f.g. ideal of R. Let S be the set of ideals J which do not include I. Show S has maximal element.

Find a maximal ideal in $F_7[x]/(x^2+5)$

Ideal with no zero divisors implies integral domain?

How to plot ideals of rings

If $P$ is a prime ideal of $R$ and $X\subseteq P$ then there's a minimal ideal

Product of two coprime ideals in a commutative ring.

Proposition $(S_1,\ldots,S_r)$ from commutative algebra

Primary decomposition of $(x^2, xy, xz, yz)$ in $K[x, y, z]$

An ideal is radical if and only if $x^2\in I\Rightarrow x\in I$

One element set for generating an ideal

When is this statement true $\frac{a}{s} \in S^{-1}I \implies a \in I$?

How to find polynomials satisfying a given ideal of relations

Proving ideal is prime ideal

Checking Nakayama's lemma for a specific example

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