List questions from noncommutative-algebra

Published on 27 Nov 2023 - 23:48

43

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A question about the minimal number of operations required to obtain a matrix with generic eigenvalues

Published on 26 Mar 2026 - 1:10

46

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Prove: In a semisimple ring with a minimal left ideal decomposition, sums of isotypic components are direct.

Published on 02 Dec 2023 - 2:47

38

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When do symmetrical matrices commute?

Published on 02 Dec 2023 - 21:07

35

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Idempotents in centralizers of non-nilpotent zero divisors

Published on 25 Mar 2026 - 15:41

55

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Monoid Element with Unique Left Inverse But No Right Inverse?

Published on 26 Mar 2026 - 19:05

63

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$f(m)=0$ for every $f\in \text{Hom}(M,S)$ then $m\in \text{rad}(M)$

Published on 18 Dec 2023 - 20:40

39

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Trace of iterated commutators and binomial coefficients

Published on 20 Dec 2023 - 13:31

165

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Is $f(\operatorname{rad} A ) \subseteq \operatorname{rad} B$ when $f$ is a not surjective $K$-algebras homomorphism and $K$ is a field?

Published on 27 Feb 2026 - 20:14

91

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Derivations in a central simple algebra

Published on 27 Dec 2023 - 11:46

20

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A normal regular element in a connected graded ring $S$ can become central by a suitable Zhang twist

Published on 28 Dec 2023 - 5:11

15

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Noncommutative Nakayama's Lemma for Maximal Ideal Inclusion

Published on 04 Mar 2026 - 22:58

48

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An identity in the generalized quaternion algebra

Published on 19 Jan 2024 - 1:09

70

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Finite Group's Group Algebra over a Field is a Principal Ideal Ring?

Published on 27 Jan 2024 - 18:20

91

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Form of ideal generated by subset of noncommutative nonunital ring

Published on 02 Feb 2024 - 6:38

List Question

$A\otimes B$ ideals where $A$ is an simple central $F$-algebra

A question about the minimal number of operations required to obtain a matrix with generic eigenvalues

Prove: In a semisimple ring with a minimal left ideal decomposition, sums of isotypic components are direct.

When do symmetrical matrices commute?

Idempotents in centralizers of non-nilpotent zero divisors

Monoid Element with Unique Left Inverse But No Right Inverse?

$f(m)=0$ for every $f\in \text{Hom}(M,S)$ then $m\in \text{rad}(M)$

Trace of iterated commutators and binomial coefficients

Is $f(\operatorname{rad} A ) \subseteq \operatorname{rad} B$ when $f$ is a not surjective $K$-algebras homomorphism and $K$ is a field?

Derivations in a central simple algebra

A normal regular element in a connected graded ring $S$ can become central by a suitable Zhang twist

Noncommutative Nakayama's Lemma for Maximal Ideal Inclusion

An identity in the generalized quaternion algebra

Finite Group's Group Algebra over a Field is a Principal Ideal Ring?

Form of ideal generated by subset of noncommutative nonunital ring

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