Title : ( More on Lie derivations of generalized matrix algebras )
Authors: Amir Hosein Mokhtari , Hamid Reza Ebrahimi Vishki ,
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Abstract
Motivated by the Cheung's elaborate work [Linear Multilinear Algebra, 51 (2003),299-310], we investigate the construction of a Lie derivation on a generalized matrix algebra and apply it to give a characterization for such a Lie derivation to be proper. Our approach not only provides a direct proof for some known results in the theory, but also it presents several sufficient conditions assuring the properness of Lie derivations on certain generalized matrix algebras.
Keywords
, Derivation, Lie derivation, generalized matrix algebra, triangular algebra.
@article{paperid:1054279,
author = {Mokhtari, Amir Hosein and Ebrahimi Vishki, Hamid Reza},
title = {More on Lie derivations of generalized matrix algebras},
journal = {Miskolc Mathematical Notes},
year = {2018},
volume = {19},
number = {1},
month = {July},
issn = {1787-2405},
pages = {385--396},
numpages = {11},
keywords = {Derivation; Lie derivation; generalized matrix algebra; triangular algebra.},
}
%0 Journal Article
%T More on Lie derivations of generalized matrix algebras
%A Mokhtari, Amir Hosein
%A Ebrahimi Vishki, Hamid Reza
%J Miskolc Mathematical Notes
%@ 1787-2405
%D 2018
