THE STRUCTURE OF (α,β)-DERIVATIONS OF TRIANGULAR RINGS

Abstract

Let R and S be reduced rings with identities whose idempotents are central, and let M be an(R, S)-bimodule such that annr (M)=0. In this paper, we determine first the structure of automorphisms ofthe triangular ring, =SR MT0, and then, for all automorphisms α ,β of T we determine the structureof (α,β)-derivations of T.