Set inner amenability for semigroups

Abstract

In this paper, we present a new concept of inner amenability for a non-
empty arbitrary subset A of discrete semigroup S called A-inner amenablility. This
condition is considerably weaker than ordinary inner amenability. Further, we give
 some equivalent conditions between this version of inner amenability and Flner's
condition.                                           

                              

                                                                                                                                  

                                                                                                                                    

Keywords

• Amenable semigroups
• semigroup
• homomorphism

References

1. M. M. Day, Amenable semigroups,