List questions from ring-theory

Published on 15 Apr 2026 - 12:11

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A concrete example of a unital noncommutative ring without maximal two-sided ideals

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If a module is nonzero, then a localization module is nonzero

Published on 15 Apr 2026 - 0:27

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When are cancellations allowed in ring?

Published on 12 Apr 2026 - 18:03

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Prove that $S$ is a subring of $\mathbb{Z}_{28}$

Published on 14 Apr 2026 - 15:25

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showing $\psi: R\to \mathbb C$ is ring isomorphism.

Published on 13 Apr 2026 - 16:28

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Are prime ideals always comaximal?

Published on 10 Apr 2026 - 23:14

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Self-learning Book recommendation for topics in ring-theory

Published on 08 Apr 2026 - 20:05

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Doubt regarding sum of a subring and an ideal need not be subring.

Published on 14 Apr 2026 - 10:35

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An equivalent condition with $\{0\}$ being the only nilpotent ideal

Published on 12 Apr 2026 - 14:15

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Prove that polynomial ring $R[X][Y]$ is the same as ring of polynomials in $2$ variables $R[X,Y]$.

Published on 16 Apr 2026 - 10:57

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Nilpotent and invertible polynomials over noncommutative rings

Published on 15 Apr 2026 - 22:08

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Finding roots of $x^9 + 1$ modulo $19$

Published on 15 Apr 2026 - 20:28

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Ring/Nilpotent Proof

Published on 13 Apr 2026 - 21:52

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Questions Regarding a Ring

Published on 13 Apr 2026 - 23:32

List Question

If $R$ is a local ring, is $R[[x]]$ (the ring of formal power series) also a local ring?

A concrete example of a unital noncommutative ring without maximal two-sided ideals

If a module is nonzero, then a localization module is nonzero

When are cancellations allowed in ring?

Prove that $S$ is a subring of $\mathbb{Z}_{28}$

showing $\psi: R\to \mathbb C$ is ring isomorphism.

Are prime ideals always comaximal?

Self-learning Book recommendation for topics in ring-theory

Doubt regarding sum of a subring and an ideal need not be subring.

An equivalent condition with $\{0\}$ being the only nilpotent ideal

Prove that polynomial ring $R[X][Y]$ is the same as ring of polynomials in $2$ variables $R[X,Y]$.

Nilpotent and invertible polynomials over noncommutative rings

Finding roots of $x^9 + 1$ modulo $19$

Ring/Nilpotent Proof

Questions Regarding a Ring

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