Volume no :5, Issue no: 1, March (2011)

CHARACTERIZATIONS OF LIE DERIVATIONS OF GENERALIZED MATRIX ALGEBRAS

Author's: Jianbin Guo
Pages: [21] - [40]
Received Date: March 30, 2011
Submitted by:

Abstract

We say that L is a Lie derivable mapping at G from an algebra into itself, if for any with Let be a generalized matrix algebra. In this paper, we prove that if L is a Lie derivable mapping at 0 from into itself, then L can be expressed as the sum of a derivation of and a linear mapping with image in the center vanishing at commutators where with

Keywords

derivation, generalized matrix algebra, Lie derivation.