International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 1, Pages 85-89

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

Received 6 May 1997; Revised 10 January 1998

Copyright © 1999 H. R. Ebrahimi Vishki and M. A. Pourabdollah. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.