The smallest ideals in the two natural products on \(\beta S\)
type: Item
instance of: scholarly article
title: The smallest ideals in the two natural products on \(\beta S\)
zbMATH Open document ID: 0811.22001
DOI: 10.1007/BF02573683
author: Patty Anthony
published in: Semigroup Forum
publication date: 1994-06-16T00:00:00Z
full work available at URL: https://eudml.org/doc/135324
review text: The author studies the minimal ideals in \(\beta S\), the Stone-Čech compactification of a discrete noncommutative semigroup. The discussion concerns the distinction between the left and right continuous extensions and the minimal ideals they generate. The author shows that while each minimal ideal meets the closure of the other minimal ideal, there are points in each minimal ideal that are not in the closure of the other. This establishes that the structure on \(\beta S\) is different near the minimal ideals as well as in the large as was known.
Mathematics Subject Classification ID: 22A15
Mathematics Subject Classification ID: 20M12
Mathematics Subject Classification ID: 54D35
zbMATH DE Number: 563287
zbMATH Keywords: Stone-Čech compactification
zbMATH Keywords: semigroup
zbMATH Keywords: continuous extensions
zbMATH Keywords: minimal ideals
zbMATH Keywords: closure
reviewed by: N. J. Rothman
MaRDI profile type: Publication
cites work: Q3995290
cites work: On the two natural products in a Stone-Čech compactification
cites work: The ideal structure of the space of \(\kappa\)-uniform ultrafilters on a discrete semigroup
cites work: Q3205333
description: scientific article; zbMATH DE number 563287