Set inner amenability for semigroups

Year 2020, Volume: 4 Issue: 3, 176 - 183, 31.08.2020

Moslem Amini Nia , Ali Ebadian

https://doi.org/10.31197/atnaa.573763

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

• M. M. Day, Amenable semigroups,