3 papers
math.RA2026
On the structural behavior of images of polynomials
Tsiu-Kwen Lee, Tran Nam Son
The study of images of noncommutative polynomials on algebras has attracted considerable attention. We investigate polynomial images and the additive structures they generate in as…
math.RA2026
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 for a polynomial and elements in an…
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…