A note on Jordan sigma-derivations of triangular algebras

摘要

The aim of the paper is to prove that every Jordan sigma-derivation of a triangular algebra that exists either a left weak loyal bimodule or a right weak loyal bimodule, is a sigma-derivation. As an application we show that every Jordan sigma-derivation of a nxn (block) upper triangular matrix algebra, where n = 3, is a sigma-derivation, which improves some results given by Benkovic in 2016.