Abstract
In this paper we prove some equivalent conditions for strongly prime Gamma-near rings N and radicals P-s (N) (P-e (N)) of strongly prime (equiprime) Gamma-near ring N coincides with the P-s (L)(+) (P-e (L)(+)) where P-s (L) (P-e (L)) is strongly prime radicals(equiprime radicals) of left operator near-ring L of N.