List questions from ideals

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86

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$I=mI$, when $I$ is not finitely generated.

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654

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Showing $1+3\sqrt{-5}$ is irreducible but not prime.

Published on 26 Mar 2026 - 11:04

259

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Jacobson radical of extension ring

Published on 29 Mar 2026 - 19:56

101

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Show (1-a) is an indempotent.

Published on 02 Aug 2016 - 4:29

648

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Find all maximal ideal of an external direct product

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If $R$ is a commutative ring satisfying ascending chain condition on finitely generated ideals, then is $R$ Noetherian?

Published on 26 Mar 2026 - 12:37

142

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Right ideals of a ring $R$ with J(R) nil

Published on 29 Mar 2026 - 19:57

695

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Find all ideals of ring $\mathbb{Z}[\sqrt{-3}]$ containing 4.

Published on 05 Aug 2016 - 4:17

860

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

Published on 31 Mar 2026 - 10:10

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

383

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An inclusion relation between ideals in a commutative ring

Published on 07 Aug 2016 - 10:36

231

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Show that $R[x]/J[x]\cong (R/J)[x]$, where $J$ is an ideal of $R$.

Published on 08 Aug 2016 - 22:20

185

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History of the theory on Ideal convergence

Published on 02 Apr 2026 - 6:23

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

List Question

problems about prime ideals

$I=mI$, when $I$ is not finitely generated.

Showing $1+3\sqrt{-5}$ is irreducible but not prime.

Jacobson radical of extension ring

Show (1-a) is an indempotent.

Find all maximal ideal of an external direct product

If $R$ is a commutative ring satisfying ascending chain condition on finitely generated ideals, then is $R$ Noetherian?

Right ideals of a ring $R$ with J(R) nil

Find all ideals of ring $\mathbb{Z}[\sqrt{-3}]$ containing 4.

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?

An inclusion relation between ideals in a commutative ring

Show that $R[x]/J[x]\cong (R/J)[x]$, where $J$ is an ideal of $R$.

History of the theory on Ideal convergence

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

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