ASYMPTOTICALLY I-STATISTICAL EQUIVALENT FUNCTIONS DEFINED ON AMENABLE SEMIGROUPS

Abstract

In this study, we introduce the notions of asymptotically I-equivalence, asymptotically I^*-equivalence, asymptotically strongly I-equivalence and asymptotically I-statistical equivalence for functions defined on discrete countable amenable semigroups. Also, we examine some properties of these notions and relationships between them.