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

Year 2021, Volume: 4 Issue: 1, 45 - 48, 01.03.2021

Uğur Ulusu , Fatih Nuray , Erdinç Dündar

https://doi.org/10.33401/fujma.842104

Cited By: 5

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

Supporting Institution

TÜBİTAK

Project Number

120F082

Thanks

This study is supported by TÜBİTAK (Scientific and Technological Research Council of Turkey) with the project number 120F082.

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