Ulusu, UğurDündar, ErdinçAydın, Bünyamin2026-01-242026-01-2420191304-71911304-7205https://hdl.handle.net/20.500.12868/3501In 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.eninfo:eu-repo/semantics/openAccessArticle37413661373