T. Son

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math.RA2025

On sums and products of diagonalizable matrices over division rings

Tran Nam Son

This paper aims to continue the studies initiated by Botha in [Linear Algebra Appl. 273 (1998), 65-82; Linear Algebra Appl. 286 (1999), 37-44; Linear Algebra Appl. 315 (2000), 1-23…

math.RA2025

A nonlinear analogue of additive commutators

Truong Huu Dung, Tran Nam Son, Pham Duy Vinh

We study a nonlinear analogue of additive commutators, known as \textit{polynomial commutators}, defined by $p (ab) - p (ba)$ for a polynomial $p \in F [x]$ and elements $a, b$ in an…

math.RA2022

Products of Unipotent Elements in Certain Algebras

M. H. Bien, P. V. Danchev, M. Ramezan-Nassab +1

Let $F$ be a field with at least three elements and $G$ a locally finite group. This paper aims to show that if either $F$ is algebraically closed or the characteristic of $F$ is p…