Bolletino dell Unione Matematica Italiana, Volume (12), No (3), Year (2019-9) , Pages (441-452)
Title : ( Lie generalized derivations on trivial extension algebras )
Authors: Driss Bennis , Hamid Reza Ebrahimi Vishki , Brahim Fahid , Ali Akbar Khadem-Maboudi , Amirhossein Mokhtari ,Access to full-text not allowed by authors
Abstract
In this paper, we investigate the problem of describing the form of Lie generalized derivations on trivial extension algebras. We show, under some conditions, that every Lie generalized derivation on a trivial extension algebra is an sum of a generalized derivation and a center valued map which vanishes on all commutators. As an application we characterize Lie generalized derivation on a triangular algebra.