On Reverse – Centralizers Of Semiprime Rings
Semiprime ring
left (right) reverse-centralizer
reverse-centralizer
orthogonal map
generalized inverse.
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