On Orthogonal Reverse α-Derivations of Semi-prime G-Ring

Mudheher Abdul-Jabbar H. Albayati

Faculty of Administration and Economics, Economics department, University of Misan, Iraq

Abstract

In this paper, the concept of reverse a-derivation on G-ring M, and some results concerning two reverse a-derivations on M that are related to classical result of E.Ponser are presented. These results shows that if M is a2-torsion free semiprime G-ring, d and g are non-zero reverse derivations of M, then dg are not a non-zero derivation. The new main results present and study notion of orthogonally reverse a-derivations of M.

Keywords: Prime, semiprime; G-ring, derivation; a-derivati;n, reverse a-derivati;n, orthogonal reverse a-derivation.