Right cancellation in βS andUG
- Cite this article as:
- Filali, M. Semigroup Forum (1996) 52: 381. doi:10.1007/BF02574113
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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.