On the semigroup \(\beta S\)
type: Item
instance of: scholarly article
title: On the semigroup \(\beta S\)
zbMATH Open document ID: 0918.22005
published in: Semigroup Forum
publication date: 1999-04-11T00:00:00Z
review text: If \(S\) is a discrete semigroup then the Stone-Čech compactification \(\beta S\) of \(S\) is naturally a compact right topological semigroup. Particular cases of this situation, when \(S\) is the additive group \(\mathbb{N}\) (or \(\mathbb{Z})\), have been studied in great detail; many of the arguments rely on the fact that such an \(S\) is countable. In this paper, the author shows how to extend many of the results to an arbitrary cancellative semigroup \(S\).
reviewed by: John W.Baker
Mathematics Subject Classification ID: 22A15
zbMATH DE Number: 1251285
zbMATH Keywords: Stone-Čech compactification
zbMATH Keywords: compact right topological semigroup
zbMATH Keywords: cancellative semigroup
author: M. Filali
MaRDI profile type: Publication
full work available at URL: s002339900017
OpenAlex ID: W1973432019
DOI: 10.1007/S002339900017
description: scientific article; zbMATH DE number 1251285