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Right cancellation in βS andUG

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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.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Oulu, SF 90570, Finland

    M. Filali

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  1. M. Filali
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Communicated by J. S. Pym

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Filali, M. Right cancellation in βS andUG . Semigroup Forum 52, 381–388 (1996). https://doi.org/10.1007/BF02574113

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  • DOI: https://doi.org/10.1007/BF02574113

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