Slowly oscillating functions on semitopological semigroup

Document Type : Research Paper


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


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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Volume 14, Issue 4
April 2023
Pages 387-390
  • Receive Date: 04 August 2020
  • Accept Date: 16 June 2021
  • First Publish Date: 10 September 2022