Mateo Tomašević

activity

20232026

most citedCharacterizing Jordan embeddings between block upper-triangular subalgebras via preserving properties

5 citations · 10 across the 8 of their papers we have counts for

collaborators

8 papers

math.RA2026

Idempotent words in finite-dimensional simple Jordan algebras

Ilja Gogić, Mateo Tomašević

We study finite left-nested Jordan products of idempotents in finite-dimensional simple Jordan algebras over a field $F$ of characteristic different from $2$ . Over an alge…

math.RA2025

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

Ilja Gogić, Mateo Tomašević

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

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★ 2 cited

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…

math.RA2024★ 3 cited

Jordan embeddings and linear rank preservers of structural matrix algebras

Ilja Gogić, Mateo Tomašević

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.RA2023★ 5 cited

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

Ilja Gogić, Tatjana Petek, Mateo Tomašević

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.…

Idempotent words in finite-dimensional simple Jordan algebras

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

Continuous spectrum-shrinking maps between finite-dimensional algebras

Classification of Jordan multiplicative maps on matrix algebras

Multiplicative and Jordan multiplicative maps on structural matrix algebras

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

Jordan embeddings and linear rank preservers of structural matrix algebras

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

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