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 ,

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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.


, Generalized Lie derivation, Trivial extension algebra, Triangular algebra
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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