List questions from ideals

Published on 28 Mar 2026 - 11:33

56

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Is my proof that an ideal comaximal to two other ideals is also comaximal to their product correct?

Published on 12 Apr 2020 - 7:23

171

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In what rings is every ideal a fractional ideal?

Published on 28 Mar 2026 - 11:33

650

Views

the ring $\mathbb{Z}[i]/<2+2i>$

Published on 25 Mar 2026 - 11:09

43

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Is there a way to order the maximal ideals of the ring of integers? Is there an order structure to maximal ideals?

Published on 30 Mar 2026 - 13:41

97

Views

Show $(29,x^2+1)\subset\mathbb{Z}[x]$ is not a maximal ideal

Published on 02 Apr 2026 - 20:54

90

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Residue field extension is normal

Published on 14 Apr 2020 - 8:14

1.1k

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Prove that all ideals in $\mathbb{Z}[x]$ are generated by two elements.

Published on 26 Mar 2026 - 10:58

469

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Maximal ideals of the quotient ring $\Bbb C[x,y]/(x^2-y^3,x+2y-3)$

Published on 30 Mar 2026 - 15:15

252

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Generators for the ideal of entire functions vanishing on $\mathbb Z\times\mathbb Z\subset \mathbb C\times\mathbb C$

Published on 26 Mar 2026 - 6:11

105

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Principal ideal of a non-associative magma

Published on 23 Feb 2026 - 6:38

247

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Ramification in Maximal Totally Real Subfield

Published on 25 Mar 2026 - 4:38

367

Views

Motivation for contractions/extensions of ideals

Published on 19 Apr 2020 - 10:43

100

Views

Show that $\sqrt{I}:J=\bigcap_{P\in M}P$

Published on 26 Mar 2026 - 1:03

795

Views

Is $\Bbb Z / n \Bbb Z$ a PID?

Published on 28 Mar 2026 - 11:35

List Question

Isn't $I$ a maximal ideal in $\Bbb Z_{11} [X]$?

Is my proof that an ideal comaximal to two other ideals is also comaximal to their product correct?

In what rings is every ideal a fractional ideal?

the ring $\mathbb{Z}[i]/<2+2i>$

Is there a way to order the maximal ideals of the ring of integers? Is there an order structure to maximal ideals?

Show $(29,x^2+1)\subset\mathbb{Z}[x]$ is not a maximal ideal

Residue field extension is normal

Prove that all ideals in $\mathbb{Z}[x]$ are generated by two elements.

Maximal ideals of the quotient ring $\Bbb C[x,y]/(x^2-y^3,x+2y-3)$

Generators for the ideal of entire functions vanishing on $\mathbb Z\times\mathbb Z\subset \mathbb C\times\mathbb C$

Principal ideal of a non-associative magma

Ramification in Maximal Totally Real Subfield

Motivation for contractions/extensions of ideals

Show that $\sqrt{I}:J=\bigcap_{P\in M}P$

Is $\Bbb Z / n \Bbb Z$ a PID?

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