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math.RA2025
The structure of -potents and mixed Jordan-power preservers on matrix algebras
Ilja Gogić, Mateo Tomašević
Let denote the algebra of matrices over an algebraically closed field of characteristic different from . For , we classify a…
math.SP2025
Continuous spectrum-shrinking maps between finite-dimensional algebras
Ilja Gogić, Mateo Tomašević
Let and 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 be the algebra of matrices over a field of characteristic not equal to . If , 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 denote the algebra of complex matrices and let be an arbitrary structural matrix algebra, i.e. a subalgebra of that contains…