Mateo Tomašević

collaborators

6 papers

math.RA2025

Classification of Jordan multiplicative maps on matrix algebras

Ilja GogiÄ, Mateo TomaÅ¡eviÄ

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 $Ï: M_n(\mat…

math.RA2025

Multiplicative and Jordan multiplicative maps on structural matrix algebras

Ilja GogiÄ, Mateo TomaÅ¡eviÄ

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.SP2025

Continuous spectrum-shrinking maps between finite-dimensional algebras

Ilja GogiÄ, Mateo TomaÅ¡eviÄ

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

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

Ilja GogiÄ, Mateo TomaÅ¡eviÄ

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 Å em…

math.RA2024

Jordan embeddings and linear rank preservers of structural matrix algebras

Ilja GogiÄ, Mateo TomaÅ¡eviÄ

We consider subalgebras $A$ of the algebra $M_{n}$ of $n \times n$ complex matrices that contain all diagonal matrices, known in the literature as the structural matrix alg…

math.RA2024

Characterizing Jordan embeddings between block upper-triangular subalgebras via preserving properties

Ilja GogiÄ, Tatjana Petek, Mateo TomaÅ¡eviÄ

Let $M_{n}$ be the algebra of $n \times n$ complex matrices. We consider arbitrary subalgebras $A$ of $M_{n}$ which contain the algebra of all upper-triangular matrices (i.e.…