Perfect Wrpp Semigroup and Its Properties

We introduce the concept of a perfect wrpp semigroup based on perfect rpp semigroups and C-wrpp semigroups,and we obtain some properties for perfect wrpp semigroups.Then we introduce the concept of a relationship η on a perfect wrpp semigroup S,and get a congruence η on the perfect wrpp semigroups.Based on it,Λ**-relationship is genetic on a operator semigroup S/η.