SAP compactifications of \(n\)-fold and infinite semidirect products
type: Item
instance of: scholarly article
title: SAP compactifications of \(n\)-fold and infinite semidirect products
zbMATH Open document ID: 0843.22003
DOI: 10.1007/BF02573618
author: Hugo D. Junghenn
published in: Semigroup Forum
publication date: 1996-08-15T00:00:00Z
full work available at URL: https://eudml.org/doc/135398
review text: The paper is devoted to the study of semidirect products of semigroups. A semidirect product of an ordered pair of semigroups is generalized to a semidirect product of a sequence (finite or countable) of semigroups. It is proven that the generalized definition has analogous natural properties as the classical one. Finally, the strongly almost periodic compactification of a generalized semidirect product of \(\{S_1, S_2, \dots\}\) is a generalized semidirect product of topological group compactifications of the semigroups \(S_k\) for \(k = 1,2,\dots\).
Mathematics Subject Classification ID: 22A15
Mathematics Subject Classification ID: 20M10
zbMATH DE Number: 784129
zbMATH Keywords: semidirect product
zbMATH Keywords: semigroups
zbMATH Keywords: compactification
reviewed by: Václav Koubek
MaRDI profile type: Publication
cites work: Q3995290
cites work: Applications of almost periodic compactifications
cites work: Almost periodic functions on semigroups
cites work: C*-algebras of functions on direct products of semigroups
cites work: Semigroup Compactifications of Semidirect Products
cites work: Almost periodic compactifications of direct and semidirect products
cites work: Semigroup Compactifications of Direct and Semidirect Products
OpenAlex ID: W2006435694
description: scientific article; zbMATH DE number 784129