Title : ( Lie Derivations on Trivial Extension Algebras )
Authors: Amir Hosein Mokhtari , Fahimeh Moafian , Hamid Reza Ebrahimi Vishki ,
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Abstract
In this paper we provide some conditions under which a Lie derivation on a trivial extension algebra is proper, that is, it can be expressed as a sum of a derivation and a center valued map vanishing at commutators. We then apply our results for triangular algebras. Some illuminating examples are also included.
Keywords
, Derivation, Lie derivation, trivial extension algebra, triangular algebra
@article{paperid:1058394,
author = {Mokhtari, Amir Hosein and Moafian, Fahimeh and Ebrahimi Vishki, Hamid Reza},
title = {Lie Derivations on Trivial Extension Algebras},
journal = {Annales Mathematicae Silesianae},
year = {2017},
volume = {17},
month = {September},
issn = {0860-2107},
pages = {141--153},
numpages = {12},
keywords = {Derivation; Lie derivation; trivial extension algebra; triangular algebra},
}
%0 Journal Article
%T Lie Derivations on Trivial Extension Algebras
%A Mokhtari, Amir Hosein
%A Moafian, Fahimeh
%A Ebrahimi Vishki, Hamid Reza
%J Annales Mathematicae Silesianae
%@ 0860-2107
%D 2017
