List questions from ring-theory

Published on 22 Apr 2026 - 1:11

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$1+\sqrt{2}$ is a unit in $\mathbb{Q}[\sqrt{2}]$. True or False

Published on 15 Apr 2026 - 18:42

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$A/m^n$ is Artinian for all $n\geq 0$ if $A$ is a Noetherian ring and $m$ maximal ideal.

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Soft Question: Geometry of Rings

Published on 10 Apr 2026 - 23:18

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History of the terms "prime" and "irreducible" in Ring Theory.

Published on 10 Apr 2026 - 1:03

205

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Symmetric powers of ideal quotients in a local ring.

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Sum of unit and nilpotent element in a noncommutative ring.

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How to prove that the inverse of a matrix is unique?

Published on 13 Apr 2026 - 3:03

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For a ring if we have: $\forall a\in R$ with $za=az=z$ does that mean $z=0$

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Do polynomials make sense over non-commutative rings?

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Showing that two rings are not isomorphic

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Are these properties for a monoid enough for being the underlying monoid of an integral domain minus the zero?

Published on 13 Apr 2026 - 6:02

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Local ring of Krull dimension zero

Published on 16 Apr 2026 - 12:37

97

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Rings having the same characters but not isomorphic.

Published on 16 Apr 2026 - 5:58

215

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Binomial Theorem on a Ring with Order 2

Published on 15 Apr 2026 - 6:18

List Question

Retraction for rings?

$1+\sqrt{2}$ is a unit in $\mathbb{Q}[\sqrt{2}]$. True or False

$A/m^n$ is Artinian for all $n\geq 0$ if $A$ is a Noetherian ring and $m$ maximal ideal.

Soft Question: Geometry of Rings

History of the terms "prime" and "irreducible" in Ring Theory.

Symmetric powers of ideal quotients in a local ring.

Sum of unit and nilpotent element in a noncommutative ring.

How to prove that the inverse of a matrix is unique?

For a ring if we have: $\forall a\in R$ with $za=az=z$ does that mean $z=0$

Do polynomials make sense over non-commutative rings?

Showing that two rings are not isomorphic

Are these properties for a monoid enough for being the underlying monoid of an integral domain minus the zero?

Local ring of Krull dimension zero

Rings having the same characters but not isomorphic.

Binomial Theorem on a Ring with Order 2

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