$I$-Convergence and Summability in Topological Group

Bipan Hazarika

Abstract


In this article we introduce the $I$-convergence of sequences in topological groups and give certain characterizations of $I$-convergent sequences in topological groups and prove some fundamental theorems for topological groups.

Keywords


Ideal; $I$-convergent; $I$-Cauchy; topological groups

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DOI: http://dx.doi.org/10.26713%2Fjims.v4i3.91

eISSN 0975-5748; pISSN 0974-875X