Ilja Gogić

collaborators

3 papers

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…