Title : ( Lie generalized derivations on trivial extension algebras )
Authors: Driss Bennis , Hamid Reza Ebrahimi Vishki , Brahim Fahid , Ali Akbar Khadem-Maboudi , Amirhossein Mokhtari ,
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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.
Keywords
Lie generalized derivation; trivial extension algebra; triangular algebra.
@article{paperid:1071028,
author = {Driss Bennis and Ebrahimi Vishki, Hamid Reza and Brahim Fahid and Ali Akbar Khadem-Maboudi and Amirhossein Mokhtari},
title = {Lie generalized derivations on trivial extension algebras},
journal = {Bolletino dell Unione Matematica Italiana},
year = {2019},
volume = {12},
number = {3},
month = {September},
issn = {1972-6724},
pages = {441--452},
numpages = {11},
keywords = {Lie generalized derivation; trivial extension algebra; triangular algebra.},
}
%0 Journal Article
%T Lie generalized derivations on trivial extension algebras
%A Driss Bennis
%A Ebrahimi Vishki, Hamid Reza
%A Brahim Fahid
%A Ali Akbar Khadem-Maboudi
%A Amirhossein Mokhtari
%J Bolletino dell Unione Matematica Italiana
%@ 1972-6724
%D 2019
