M. Brešar

activity

20082025

most citedValues of Noncommutative Polynomials, Lie Skew-Ideals and the Tracial Nullstellensatz

30 citations · 108 across the 27 of their papers we have counts for

collaborators

31 papers

math.RA2025

Jordan homomorphisms and T-ideals

Matej Brešar, 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 Brešar

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

math.RA2024★ 1 cited

Products of commutators in matrix rings

Matej Brešar, 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…

math.RA2023

f-zpd algebras and a multilinear Nullstellensatz

Ž. Bajuk, M. Brešar, P. Fagundes +1

Let $f = f (x_{1}, \dots, x_{m})$ be a multilinear polynomial over a field $F$ . An $F$ -algebra $A$ is said to be $f$ -zpd ( $f$ -zero product determined) if every $m$ -linear functional $φ\colo…

math.RA2023

The Waring Problem for Matrix Algebras, II

Matej Brešar, Peter Šemrl

Let $f$ bea noncommutativepolynomial of degree $m \geq 1$ over an algebraically closed field $F$ of characteristic $0$ . If $n \geq m - 1$ and $α_{1}, α_{2}, α_{3}$ are nonzero elements from $F$ …

math.RA2022

Two-sided zero product determined algebras

Žan Bajuk, Matej Brešar

An algebra $A$ is said to be two-sided zero product determined if every bilinear functional $φ : A \times A \to F$ satisfying $φ (x, y) = 0$ whenever $x y = y x = 0$ is of the form $φ(x,y)=τ_1(…