Afrika Matematika, Volume (31), Year (2020-6) , Pages (423-435)
Title : ( On generalized Lie derivations )
Authors: Driss Bennis , Hamid Reza Ebrahimi Vishki , Brahim Fahid , mohammad ali bahmani ,Access to full-text not allowed by authors
Abstract
In this paper, we investigate generalized Lie derivations.We give a complete characterization of when each generalized Lie derivation is a sum of a generalized inner derivation and a Lie derivation. This generalizes a result given by Benkovic. We also investigate when every generalized Lie derivation on some particular kind of unital algebras is a sum of a generalized derivation and a central map which vanishes on all commutators. Precisely, we consider both the unital algebras with nontrivial idempotents and the trivial extension algebras.