List questions from ring-theory

Published on 13 Apr 2026 - 8:56

258

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Describe $R^×$, the invertible elements in $R$.

Published on 15 Apr 2026 - 6:48

121

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Is there an example of a Baer ring $R$ for which $R/J(R)$ is not Baer?

Published on 12 Apr 2026 - 3:02

289

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Necessary and sufficient condition for two polynomials to generate coprime ideals

Published on 14 Apr 2026 - 20:49

77

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Easy example for commutative ring with prime characteristics that has two different roots for $f=x^p-a$?

Published on 11 Apr 2026 - 4:16

274

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Does $-1$ have a square root in the ring $\frac{\mathbb R[x]}{\langle(x^2+1)^2\rangle}$?

Published on 16 Apr 2026 - 8:06

308

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When is there a bijection between the ideals of $A$ and the ideals of $S^{-1}A$?

Published on 27 Mar 2026 - 18:49

1k

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Does a UFD imply Euclidean Domain?

Published on 09 Apr 2026 - 20:30

322

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Condition for Morita equivalence

Published on 13 Apr 2026 - 15:01

1.4k

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Sum of intersection\intersection of sum of ideals

Published on 11 Apr 2026 - 16:40

489

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Why are rings with identity $\mathbb{Z}$-algebras?

Published on 25 Mar 2026 - 11:12

245

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Localization as dual to quotienting?

Published on 26 Mar 2026 - 6:02

218

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Größencharaktere, as defined by Neukirch

Published on 12 Apr 2026 - 18:13

50

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Reduced Primary Decomposition in Almost Clean Rings

Published on 09 Apr 2026 - 10:54

212

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$\mathbb R[x]/(f)\cong\mathbb R\times\mathbb R$

Published on 26 Mar 2026 - 6:26

List Question

Ideal of Gaussian Integers Ring. Congruence Classes

Describe $R^×$, the invertible elements in $R$.

Is there an example of a Baer ring $R$ for which $R/J(R)$ is not Baer?

Necessary and sufficient condition for two polynomials to generate coprime ideals

Easy example for commutative ring with prime characteristics that has two different roots for $f=x^p-a$?

Does $-1$ have a square root in the ring $\frac{\mathbb R[x]}{\langle(x^2+1)^2\rangle}$?

When is there a bijection between the ideals of $A$ and the ideals of $S^{-1}A$?

Does a UFD imply Euclidean Domain?

Condition for Morita equivalence

Sum of intersection\intersection of sum of ideals

Why are rings with identity $\mathbb{Z}$-algebras?

Localization as dual to quotienting?

Größencharaktere, as defined by Neukirch

Reduced Primary Decomposition in Almost Clean Rings

$\mathbb R[x]/(f)\cong\mathbb R\times\mathbb R$

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