Ilja Gogi'c

collaborators

3 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.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…