List questions from noncommutative-algebra

Published on 15 Apr 2026 - 4:16

151

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question about semisimple ring.

Published on 10 May 2026 - 8:12

26

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Showing that $(x+y)^2 \in A_1(k)$ does not have a Dixmier mate

Published on 14 Apr 2026 - 3:27

61

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Wedderburn Artin theorem and module category

Published on 17 Apr 2026 - 8:30

111

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How can I prove that for $2$ finite dimensional matrices $A,B: [A,B] = i$ is impossible?

Published on 13 Apr 2026 - 14:09

240

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coproduct of noncommutative algebra and commutative algebras

Published on 13 Apr 2026 - 15:23

330

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Pushout of unital non commutative algebras

Published on 13 Apr 2026 - 15:08

65

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Identity with repeatedly taking the commutator of a ring element

Published on 11 Apr 2026 - 22:19

4.6k

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Why should a non-commutative operation even be called "multiplication"?

Published on 13 Apr 2026 - 15:28

1.3k

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Let $A$ and $B$ be nilpotent matrices that commute with $[A,B]$. If $A$, $B$, and $[A,B]$ are all nilpotent, show that $A+B$ is nilpotent.

Published on 10 May 2026 - 16:13

166

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Showing a certain endomorphism algebra is basic

Published on 16 Apr 2026 - 0:13

122

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Rings in which each element is a sum of $n$ commuting idempotents

Published on 10 May 2026 - 13:10

132

Views

Weyl algebra $\Bbb C[[x]][\partial]$ and division

Published on 10 May 2026 - 16:37

189

Views

Is there a calculus of non-commutative variables?

Published on 14 Apr 2026 - 11:07

594

Views

Surjective Ring Homomorphism mapping center to center

Published on 14 Apr 2026 - 3:41

List Question

On the essential ideal of a Lie algebra

question about semisimple ring.

Showing that $(x+y)^2 \in A_1(k)$ does not have a Dixmier mate

Wedderburn Artin theorem and module category

How can I prove that for $2$ finite dimensional matrices $A,B: [A,B] = i$ is impossible?

coproduct of noncommutative algebra and commutative algebras

Pushout of unital non commutative algebras

Identity with repeatedly taking the commutator of a ring element

Why should a non-commutative operation even be called "multiplication"?

Let $A$ and $B$ be nilpotent matrices that commute with $[A,B]$. If $A$, $B$, and $[A,B]$ are all nilpotent, show that $A+B$ is nilpotent.

Showing a certain endomorphism algebra is basic

Rings in which each element is a sum of $n$ commuting idempotents

Weyl algebra $\Bbb C[[x]][\partial]$ and division

Is there a calculus of non-commutative variables?

Surjective Ring Homomorphism mapping center to center

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