Ideals of the Stone-Čech compactification of semigroups
type: Item
instance of: scholarly article
title: Ideals of the Stone-Čech compactification of semigroups
zbMATH Open document ID: 0576.22005
DOI: 10.1007/BF02575537
author: Hanson M. Umoh
published in: Semigroup Forum
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/134780
review text: The author answers the question as to whether it is always true that the closure of the minimal ideal of a compact left-topological semigroup T is contained in \(T^ 2\). (This is certainly true if T is separately continuous.) He defines a large class of semigroups, including the Stone- Čech compactifications of \(({\mathbb{N}},+)\) and (\({\mathbb{N}},\cdot)\), for which the result is shown to be false.
Mathematics Subject Classification ID: 22A15
Mathematics Subject Classification ID: 54D35
zbMATH DE Number: 3920811
zbMATH Keywords: minimal ideal
zbMATH Keywords: left-topological semigroup
zbMATH Keywords: Stone-Čech compactifications
reviewed by: Andrew Baker
MaRDI profile type: Publication
cites work: The ideal structure of the Stone-Čech compactification of a group
cites work: Compact semitopological semigroups and weakly almost periodic functions
cites work: Compact right topological semigroups and generalizations of almost periodicity
cites work: Ultrafilters: Some old and some new results
cites work: Q5540221
cites work: Q3205333
cites work: Sums equal to products in \(\beta{\mathbb N}\)
cites work: Minimal ideals and cancellation in beta(N)
cites work: The ideal structure of the space of \(\kappa\)-uniform ultrafilters on a discrete semigroup
cites work: Existence and structure theorems for semigroup compactifications
OpenAlex ID: W2084639034
description: scientific article; zbMATH DE number 3920811