Document Type : Research Paper
Authors
1 Department of Mathematics, Faculty of Sciences, Islamic Azad University, Central Tehran Branch, Tehran, Iran
2 Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
Abstract
The slowly oscillating functions have been used by I. V. Protasov to study of the algebraic structure of the Stone-$\check{C}$esh compactification. M. Filali and P. Salmi developed the concept of slowly oscillating functions to arbitrary locally compact topological groups. In this paper, we study the structure of $Lmc$-compactification of a semitopological semigroup by the slowly oscillating functions. In fact, we develop the concept of slowly oscillating functions to semitopological semigroups.
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