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

Document Type: Regular Paper

Author

Department of Mathematics, Kurdistan University P. O. Box 416, Sanandaj, I. R. of Iran

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 of
the triangular ring, 




=
S
R M
T
0
, and then, for all automorphisms α ,β of T we determine the structure
of (α,β)-derivations of T.

Keywords