List questions from ideals

Published on 10 Apr 2026 - 20:09

314

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Can we prove, without axiom of choice, that the set of all zero divisors (including $0$) of a commutative ring with unity contains a prime ideal?

Published on 12 Apr 2026 - 20:13

1.2k

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infinitely many ideals

Published on 12 Apr 2026 - 22:22

1k

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Conductor of a ring

Published on 12 Apr 2026 - 4:06

93

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If $1\in M$, could $M$ be a maximal ideal of a commutative ring with identity $R$?

Published on 15 May 2015 - 22:40

119

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$K[x,y]$ (where $K$ is a field) have any bound for the number of generators of ideals?

Published on 12 Apr 2026 - 19:38

635

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Direct sum of non-zero ideals over an integral domain

Published on 12 Apr 2026 - 20:45

184

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Problem about ideals of the localization of a ring

Published on 12 Apr 2026 - 5:16

189

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Residue fields of the closed points in $Spec(\mathbb{R}[X,Y])$

Published on 30 Mar 2026 - 1:51

180

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Question about ideals of a ring: $IJ=I \implies J=I$?

Published on 11 Apr 2026 - 16:11

1.2k

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Is the minimal number of generators of an ideal the rank of the ideal as a free $\mathbb Z$-module?

Published on 11 Apr 2026 - 20:35

386

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All polynomial parametric curves in $k^2$ are contained in affine algebraic varieties

Published on 28 Mar 2026 - 8:42

49

Views

Relation between ideal numbers and ideals of a ring?

Published on 13 Apr 2026 - 0:46

1.2k

Views

Class group of $\mathbb Q(\sqrt{-55})$ and finding representatives for ideal classes

Published on 18 May 2015 - 10:48

56

Views

Decision between right and left ideals of a ring?

Published on 12 Apr 2026 - 16:23

List Question

Ideal in ring product

Can we prove, without axiom of choice, that the set of all zero divisors (including $0$) of a commutative ring with unity contains a prime ideal?

infinitely many ideals

Conductor of a ring

If $1\in M$, could $M$ be a maximal ideal of a commutative ring with identity $R$?

$K[x,y]$ (where $K$ is a field) have any bound for the number of generators of ideals?

Direct sum of non-zero ideals over an integral domain

Problem about ideals of the localization of a ring

Residue fields of the closed points in $Spec(\mathbb{R}[X,Y])$

Question about ideals of a ring: $IJ=I \implies J=I$?

Is the minimal number of generators of an ideal the rank of the ideal as a free $\mathbb Z$-module?

All polynomial parametric curves in $k^2$ are contained in affine algebraic varieties

Relation between ideal numbers and ideals of a ring?

Class group of $\mathbb Q(\sqrt{-55})$ and finding representatives for ideal classes

Decision between right and left ideals of a ring?

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