Ilja Gogić

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math.RA2026

Jordan rigidity of full matrix algebras

Ilja Gogić, Matija Kazalicki, Mateo Tomašević

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 Gogić, Mateo Tomašević

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 Gogić, Matija Kazalicki, Mateo Tomašević

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 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…

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

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