$\mathfrak{I}$-Limit and $\mathfrak{I}$-Cluster Points for Functions Defined on Amenable Semigroups

Abstract

In this paper firstly, for functions defined on discrete countable amenable semigroups (DCASG), notions of $\mathfrak{I}$-limit and $\mathfrak{I}$-cluster points are introduced. Then, for the functions, notions of $\mathfrak{I}$-limit superior and inferior are examined.