On Reverse – Centralizers Of Semiprime Rings
Keywords:
Semiprime ring,, left (right) reverse-centralizer,, reverse-centralizer, , orthogonal map, generalized inverse.Abstract
In this paper we study necessary and sufficient conditions for a reverse- centralizer of a semiprime ring R to be orthogonal. We also prove that a reverse- centralizer T of a semiprime ring R having a commuting generalized inverse is orthogonal