Mateo Tomašević

collaborators

4 papers

math.SP2025

Continuous spectrum-shrinking maps between finite-dimensional algebras

Ilja Gogić, Mateo Tomašević

Let $A$ and $B$ be unital finite-dimensional complex algebras, each equipped with the unique Hausdorff vector topology. Denote by $\mathrm{Max}(\mathcal{A})=\{\…

math.RA2025

Classification of Jordan multiplicative maps on matrix algebras

Ilja Gogić, Mateo Tomašević

Let $M_{n} (F)$ be the algebra of $n \times n$ matrices over a field $F$ of characteristic not equal to $2$ . If $n \geq 2$ , we show that an arbitrary map $ϕ: M_n(\math…

math.RA2025

Multiplicative and Jordan multiplicative maps on structural matrix algebras

Ilja Gogić, Mateo Tomašević

Let $M_{n}$ denote the algebra of $n \times n$ complex matrices and let $A \subseteq M_{n}$ be an arbitrary structural matrix algebra, i.e. a subalgebra of $M_{n}$ that contains…

math.RA2024

An extension of Petek-Šemrl preserver theorems for Jordan embeddings of structural matrix algebras

Ilja Gogić, Mateo Tomašević

Let $M_{n}$ be the algebra of $n \times n$ complex matrices and $T_{n} \subseteq M_{n}$ the corresponding upper-triangular subalgebra. In their influential work, Petek and Šemr…