A note on Jordan -derivations of triangular algebras

Abstract

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

Keywords:

• Jordan -derivation
• -derivation
• (right) left weak loyal bimodule
• triangular algebra
• upper triangular matrix algebra

AMS Subject Classifications:

• 16W25
• 16D20

Notes

No potential conflict of interest was reported by the author.