中文摘要：

主右投射（简称rpp）半群是一类重要的广义正则半群，首先引入了本原rpp半群的概念，借助广义Green^（l）关系：F^（l）,R^（l）,H^（l）及L^（l）,刻画了本原rpp半群的基本特征，证明了本原rpp半群中的任意非零元α，关于任意s∈S,若Ra（l）∩Е（S）≠Ф且αS≠0,则αs∈Rα（l）∩L5（l）.最后，得出了本原rpp半群中Hef（l）和Hfe（l）为S的不含幺元的可消子半群，Hef（l）作为右Hf（l）的右理想同构，作为左He（l）-系与He（l）的左理想同构．

英文摘要：

A principal right projective （rpp in short） semigroup is important in the class of generalized regular semigroups.The concept of a primitive rpp semigroup is first introduced. Some basic properties of primitive rpp semigroups were in-vestigated by using the Green（l） - relations：F^（l）,R^（l）,H^（l）andL^（l）and proved if a is a non-zero element of a primitive rpp semigroup S,s∈S and Ra（l）∩Е（S）≠Ф,then asαs∈Rα（l）∩L5（l）We also showed thatHef（l） and Hfe（l）are left cancellative subgroup of S without identity, and Hef（l）is isomorphic as a semigroup and as a right Hf（l）-system to a right ideal of Hf（l）,is isomorphic as a semigroup and as a left He（l）-system to a left ideal of He（l） in a primitive rpp semigroup.