M. Brevsar

collaborators

5 papers

math.RA2026

Commutativity preserving mappings in Banach algebras

M. BreÅ¡ar, G. M. Escolano, A. Peralta +1

Let $A$ and $B$ be unital complex Banach algebras having no quotients isomorphic to $C$ or $M_{2} (C)$ . Assume additionally that $B$ is semisimple. If a surjective a…

math.RA2026

Waring problems across algebra

Matej BreÅ¡ar, Consuelo Mart\' inez

The paper surveys various Waring type problems in groups, Lie algebras, and associative algebras.

math.RA2025

Jordan homomorphisms: A survey

Matej BreÅ¡ar, Efim Zelmanov

The paper surveys the history and state-of-the-art of the study of Jordan homomorphisms.

math.RA2025

Products of commutators in simple algebras

Matej BreÅ¡ar, Hau-Yuan Jang, Leonel Robert

Let $A$ be a finite-dimensional simple algebra that is not a field. We show that every $a \in A$ can be written as $a = (b c - c b) (d e - e d)$ for some $b, c, d, e \in A$ . This is not always tru…

math.RA2025

Matrix evaluations of noncommutative rational functions and Waring problems

Matej BreÅ¡ar, Jurij VolÄiÄ

Let $r$ be a nonconstant noncommutative rational function in $m$ variables over an algebraically closed field $K$ of characteristic 0. We show that for $n$ large enough, there exis…