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

Authors : Uğur Ulusu, Fatih Nuray, Erdinç Dündar

Pages : 45-48

Doi:10.33401/fujma.842104

View : 18 | Download : 9

Publication Date : 2021-03-01

Article Type : Research

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.
Keywords : Amenable semigroups, Folner sequence, I-Convergence, I-Cluster points, I-Limit points