The Structure of rpp Semigroups with a Weak Normal Idempotent
Guo Xiao-jiang · Journal of Nanchang University · 2008
It is well known that the concept of rpp semigroups was initiated by Fountain in 1982.And follow Fountain,the class of rpp semigroups includes the class of abundant semigroups as a special subclass.In the reference,xiaojiang Guo defined and investigated weak medial idempotents and weak normal idempotents and established the structure of abundant with weak normal idempotents.The aim of this paper is to study special rpp semigroups,namely,rpp semigroups with weak normal idempotents.Some properties and characterizations for such semigroups are obtained.In particular,we establish the structure of this class of rpp semigroups in terms of right normal band and rpp semigroups with some simple compatibility.Result by Guo Xiaojiang on abundant semigroups are extended and strengthened.