Mateo Tomavsevi'c

collaborators

6 papers

math.RA2026

Jordan rigidity of full matrix algebras

Ilja GogiÄ, Matija Kazalicki, Mateo TomaÅ¡eviÄ

Let $F$ be a field of characteristic different from $2$ , and let $M_{n} (F)^{+}$ denote the Jordan algebra of all $n \times n$ matrices over $F$ with product $…

math.RA2026

Automatic additivity for injective Jordan semi-triple maps on structural matrix rings over division rings

Ilja GogiÄ, Mateo TomaÅ¡eviÄ

Let $D$ be a division ring, and let $R \subseteq M_{n} (D)$ be a structural matrix ring over $D$ , that is, the subring of $M_{n} (D)$ supporte…

math.RA2026

The Jordan multiplication semigroup of matrix algebras is the full endomorphism semigroup

Ilja GogiÄ, Matija Kazalicki, Mateo TomaÅ¡eviÄ

Let $K$ be a field of characteristic different from $2$ , and let $M_{n} (K)$ be the algebra of all $n \times n$ matrices over $K$ . We consider the correspond…

math.RA2025

The structure of $k$ -potents and mixed Jordan-power preservers on matrix algebras

Ilja GogiÄ, Mateo TomaÅ¡eviÄ

Let $M_{n} (F)$ denote the algebra of $n \times n$ matrices over an algebraically closed field $F$ of characteristic different from $2$ . For $n \geq 2$ , we classify a…

math.SP2025

A variant of Å emrl's preserver theorem for singular matrices

Alexandru Chirvasitu, Ilja GogiÄ, Mateo TomaÅ¡eviÄ

For positive integers $1 \leq k \leq n$ let $M_{n}$ be the algebra of all $n \times n$ complex matrices and $M_{n}^{\leq k}$ its subset consisting of all matrices of rank at most $k$ . W…

math.SP2025

Continuous spectrum-shrinking maps and applications to preserver problems

Alexandru Chirvasitu, Ilja GogiÄ, Mateo TomaÅ¡eviÄ

For a positive integer $n$ let $X_{n}$ be either the algebra $M_{n}$ of $n \times n$ complex matrices, the set $N_{n}$ of all $n \times n$ normal matrices, or any of the matrix…

Jordan rigidity of full matrix algebras

Automatic additivity for injective Jordan semi-triple maps on structural matrix rings over division rings

The Jordan multiplication semigroup of matrix algebras is the full endomorphism semigroup

The structure of k-potents and mixed Jordan-power preservers on matrix algebras

A variant of Å emrl's preserver theorem for singular matrices

Continuous spectrum-shrinking maps and applications to preserver problems

The structure of $k$ -potents and mixed Jordan-power preservers on matrix algebras