3 citations · 7 across the 13 of their papers we have counts for
15 papers
Commutativity preserving mappings in Banach algebras
M. Brešar, G. M. Escolano, A. Peralta +1
Let and be unital complex Banach algebras having no quotients isomorphic to or . Assume additionally that is semisimple. If a surjective a…
Waring problems across algebra
Matej Brešar, Consuelo Mart\' inez
The paper surveys various Waring type problems in groups, Lie algebras, and associative algebras.
Jordan homomorphisms: A survey
Matej Brešar, Efim Zelmanov
The paper surveys the history and state-of-the-art of the study of Jordan homomorphisms.
Products of commutators in simple algebras
Matej Brešar, Hau-Yuan Jang, Leonel Robert
Let be a finite-dimensional simple algebra that is not a field. We show that every can be written as for some . This is not always tru…
The Wedderburn-Artin Theorem
Matej Brešar
The celebrated Wedderburn-Artin theorem states that a simple left artinian ring is isomorphic to the ring of matrices over a division ring. We give a short and self-contained proof…
Frobenius' Theorem on Division Algebras
Matej Brešar
Frobenius' Theorem states that the only finite-dimensional real division algebras are the algebra of real numbers , the algebra of complex numbers , and the a…