M. Brešar

collaborators

3 papers

math.RA2025

Jordan homomorphisms and T-ideals

Matej BreÅ¡ar, Efim Zelmanov

Let $A$ and $B$ be associative algebras over a field $F$ with {\rm char} $(F) \neq = 2$ . Our first main result states that if $A$ is unital and equal to its commutator ideal, then every…

math.RA2024

Splittable Jordan homomorphisms and commutator ideals

Matej BreÅ¡ar

We define a Jordan homomorphism $I ¨ $ from a ring $R$ to a ring $R^{'}$ to be splittable if the ideal (of the subring generated by the image of $I ¨ $ ) generated by all $Ï(xy)-Ï(x)Ï(y…

math.RA2024

Products of commutators in matrix rings

Matej BreÅ¡ar, Eusebio Gardella, Hannes Thiel

Let $R$ be a ring and let $n \geq 2$ . We discuss the question of whether every element in the matrix ring $M_{n} (R)$ is a product of (additive) commutators $[x, y] = x y - y x$ , for $x,y\in M…