Local and perfect semihoops

Abstract

Abstract In this paper, by considering the notion of semihoop, we introduce the concepts of local and perfect semihoops and we state and prove some related results. Specially, we define the notions of some filters such as primary and perfect filters and we get the relation between perfect filters with perfect semihoops and primary filter with the local semihoops. Finally, by defining the concept of locally finite semihoop, we find a relation between local and perfect semihoops.