List questions from maximal-and-prime-ideals

Published on 02 Aug 2016 - 13:57

231

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Question of ultrafilters/prime ideals in finite Boolean algebras

Published on 02 Aug 2016 - 15:04

647

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Find all maximal ideal of an external direct product

Published on 03 Aug 2016 - 3:39

255

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Annihilating ideals in a ring with finitely many minimal prime ideals.

Published on 04 Aug 2016 - 9:52

859

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Find all maximal ideals of $\mathbb{R}[x,y]/(x^2+y^2)$

Published on 05 Aug 2016 - 14:15

295

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Let $R$ be a commutative Noetherian ring with unity such that every maximal ideal is principal. Then is $R$ a PIR?

Published on 26 Mar 2026 - 12:37

242

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Proving that a set is an ultrafilter

Published on 09 Aug 2016 - 16:56

76

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Primeness of an ideal

Published on 10 Aug 2016 - 8:06

335

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$\langle r\rangle$ maximal $\iff r$ irreducible

Published on 28 Mar 2026 - 21:57

543

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maximal ideals in a ring (subring of rational numbers) given by $2$ primes

Published on 12 Aug 2016 - 17:23

150

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Prime ideals of $\mathbb F_4 \otimes_{\mathbb F_2} \mathbb F_4$

Published on 13 Aug 2016 - 17:54

489

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Any commutative ring lying between a Dedekind domain and its fraction field is Dedekind?

Published on 25 Mar 2026 - 22:11

1.2k

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Maximal Ideal in a commutative ring with unit element

Published on 16 Aug 2016 - 13:05

627

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Example that $R/I$ is not field where $R$ is a commutative ring and $I$ is maximal ideal.

Published on 25 Mar 2026 - 6:05

347

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Dimension of singular locus in reduced local rings

Published on 21 Aug 2016 - 11:32

List Question

Ultrafilters/prime ideals in a Boolean algebra

Question of ultrafilters/prime ideals in finite Boolean algebras

Find all maximal ideal of an external direct product

Annihilating ideals in a ring with finitely many minimal prime ideals.

Find all maximal ideals of $\mathbb{R}[x,y]/(x^2+y^2)$

Let $R$ be a commutative Noetherian ring with unity such that every maximal ideal is principal. Then is $R$ a PIR?

Proving that a set is an ultrafilter

Primeness of an ideal

$\langle r\rangle$ maximal $\iff r$ irreducible

maximal ideals in a ring (subring of rational numbers) given by $2$ primes

Prime ideals of $\mathbb F_4 \otimes_{\mathbb F_2} \mathbb F_4$

Any commutative ring lying between a Dedekind domain and its fraction field is Dedekind?

Maximal Ideal in a commutative ring with unit element

Example that $R/I$ is not field where $R$ is a commutative ring and $I$ is maximal ideal.

Dimension of singular locus in reduced local rings

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