3 papers
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 for a polynomial and elements in an…
math.RA2022
Products of Unipotent Elements in Certain Algebras
M. H. Bien, P. V. Danchev, M. Ramezan-Nassab +1
Let be a field with at least three elements and a locally finite group. This paper aims to show that if either is algebraically closed or the characteristic of is p…