3 citations · 3 across the 4 of their papers we have counts for
6 papers · 1 filter
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…
Jordan maps and zero Lie product determined algebras
Matej Brešar
Let be an algebra over a field with {\rm char}. If is generated as an algebra by , then for every skew-symmetric bilinear map $Φ:A\times A\to X…
Commutators and images of noncommutative polynomials
Matej Brešar
Let be an algebra and let be a nonconstant noncommutative polynomial. In the first part of the paper, we consider the relationship between , the linear span of commu…
Functional identities and zero Lie product determined Banach algebras
Matej Brešar
Three problems connecting functional identities to the recently introduced notion of a zero Lie product determined Banach algebra are discussed. The first one concerns commuting li…
Skolem-Noether algebras
Matej Brešar, Christoph Hanselka, Igor Klep +1
An algebra is called a Skolem-Noether algebra (SN algebra for short) if for every central simple algebra , every homomorphism extends to an inner automorph…