A study on generalized matrix algebras having generalized Lie derivations

Abstract

Let R be a commutative ring with unity. The R-algebra G=G(A,M,N,B) is a generalized matrix algebra defined by the Morita context (A,B,M,N, ξMN,ΩNM). In this article, westudy generalized Lie derivation and show that every generalized Lie derivation on a generalized matrix algebra has the standard form under certain assumptions.