ON ORTHOGONAL REVERSE DERIVATIONSOF SEMIPRIME RINGS

Abdul Rhman  Majeed

doi:10.24996/ijs.2009.50.1.%g

ON ORTHOGONAL REVERSE DERIVATIONSOF SEMIPRIME RINGS

Authors

Abdul Rhman Majeed Department of Mathematics, College of Science, University of Baghdad. Baghdad- Iraq

DOI:

https://doi.org/10.24996/ijs.2009.50.1.%25g

Keywords:

REVERSE, SEMIPRIME

Abstract

In this paper some results concerning two reverse derivations on semiprime rings are presented. These results are related to a result which is inspired by the classical result of E. Posner. This result is asserts that if R is a 2- torsion free semiprime ring, f and h are non-zero reverse derivations of R. Then f h can not be a non-zero derivation. A notion of orthogonal reverse derivations arises here.
Key word and phrases: prime ring, semi-prime ring, derivation, reverse derivation, orthogonal reverse derivation.