Set inner amenability for semigroups

Authors : Moslem AMİNİ NİA, Ali EBADİAN

Pages : 176-183

Doi:10.31197/atnaa.573763

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Publication Date : 2020-08-31

Article Type : Research Paper

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