International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 1, Pages 85-89
doi:10.1155/S0161171299220856

The universal semilattice compactification of a semigroup

H.R. Ebrahimi Vishki and M.A. Pourabdollah

Faculty of Mathematics, University of Mashhad, P.O. Box 91775-1159, Mashhad, Iran

Abstract

The universal abelian, band, and semilattice compactifications of a semitopological semigroup are characterized in terms of three function algebras. Some relationships among these function algebras and some well-known ones, from the universal compactification point of view, are also discussed.