Multiplicative generalized lie triple derivations on generalized matrix algebras

Abstract

Let R be a commutative ring with unity, A; B be R-algebras, M be (A; B)-bimodule and N be (B;A)-bimodule. The R-algebra G = G(A;M;N; B) is a generalized matrix algebra dened by the Morita context (A; B;M;N; MN;ΩNM): In this article, we study multiplicative generalized Lie triple derivation on generalized matrix algebras and prove that every multiplicative generalized Lie triple derivation on a generalized matrix algebra has the standard form.

Key words: Generalized matrix algebras, generalized derivation, generalized Lie derivation.