Semigroup Forum

, Volume 52, Issue 1, pp 381–388

Right cancellation in βS andUG

  • M. Filali
Research Article

DOI: 10.1007/BF02574113

Cite this article as:
Filali, M. Semigroup Forum (1996) 52: 381. doi:10.1007/BF02574113

Abstract

Let βS be the Stone-Ĉech compactification of an infinite discrete cancellative semigroupS. The set of points in the growth βS/S at which right cancellation holds in βS is shown to be dense in βS/S. It is then deduced that these type of points also form a dense subset ofUG/G, whenG is a non-compact locally compact abelian group andUG is its uniform compactification.

Copyright information

© Springer-Verlag New York Inc. 1996

Authors and Affiliations

  • M. Filali
    • 1
  1. 1.Department of Mathematical SciencesUniversity of OuluFinland