Reductive compactifications of semitopological semigroups
type: Item
instance of: scholarly article
title: Reductive compactifications of semitopological semigroups
zbMATH Open document ID: 1028.22005
DOI: 10.1155/S0161171203202052
author: Mohamad Ali Pourabdollah
author: Abbas Sahleh
author: Abdol-Majid Fattahi
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-12-03T00:00:00Z
full work available at URL: https://eudml.org/doc/50470
review text: Let \(S\) be a semitopological semigroup. A pair \((\psi ,X)\) is called a semigroup compactification of \(S\) if \(X\) is a compact Hausdorff right topological semigroup, \(\psi :S\to X\) is a continuous homomorphism with a dense image such that for every \(s\in S\) the mapping \(x\mapsto\psi (s)x\) is continuous. An enveloping semigroup of a semigroup compactification \((\psi ,X)\) determines a semigroup compactification of \(S\) that is isomorphic to \((\psi ,X)\) if and only if \(X\) is right reductive. Any semigroup compactification of \(S\) is right reductive if \(sS\) (or \(Ss\)) is dense in \(S\) for some \(s\in S\). A special semigroup compactification by continuous complex value functions from \(S\) is defined.
Mathematics Subject Classification ID: 22A20
Mathematics Subject Classification ID: 43A60
zbMATH DE Number: 2012616
zbMATH Keywords: semigroup compactification
zbMATH Keywords: semitopological semigroup
zbMATH Keywords: continuous complex value function
reviewed by: Václav Koubek
MaRDI profile type: Publication
OpenAlex ID: W2106882049
description: scientific article; zbMATH DE number 2012616