Title : ( On generalized Lie derivations )
Authors: Driss Bennis , Hamid Reza Ebrahimi Vishki , Brahim Fahid , mohammad ali bahmani ,
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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.
Keywords
, Generalized Lie derivation, Trivial extension algebra, Triangular algebra
@article{paperid:1079753,
author = {دریس بنیس and Ebrahimi Vishki, Hamid Reza and براهیم فهید and Bahmani, Mohammad Ali},
title = {On generalized Lie derivations},
journal = {Afrika Matematika},
year = {2020},
volume = {31},
month = {June},
issn = {1012-9405},
pages = {423--435},
numpages = {12},
keywords = {Generalized Lie derivation; Trivial extension algebra; Triangular algebra},
}
%0 Journal Article
%T On generalized Lie derivations
%A دریس بنیس
%A Ebrahimi Vishki, Hamid Reza
%A براهیم فهید
%A Bahmani, Mohammad Ali
%J Afrika Matematika
%@ 1012-9405
%D 2020
