Green's relations on Croisot-Teissier semigroups
type: Item
instance of: scholarly article
title: Green's relations on Croisot-Teissier semigroups
zbMATH Open document ID: 0584.20056
DOI: 10.1007/BF02573206
author: Inessa Levi
published in: Semigroup Forum
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/134816
review text: Green's relation \({\mathcal L}\), \({\mathcal R}\), \({\mathcal J}\), \({\mathcal H}\) and \({\mathcal D}\) on an arbitrary Croisot-Teissier semigroup S are characterized. Hence necessary and sufficient conditions are obtained for S to have only principal ideals or to be bisimple.
Mathematics Subject Classification ID: 20M10
Mathematics Subject Classification ID: 20M20
Mathematics Subject Classification ID: 20M15
zbMATH DE Number: 3935337
zbMATH Keywords: Green's relation
zbMATH Keywords: Croisot-Teissier semigroup
zbMATH Keywords: principal ideals
MaRDI profile type: Publication
cites work: Q3848243
cites work: Q5564342
cites work: Automorphisms of Croisot-Teissier semigroups
cites work: Q3208900
cites work: Regular congruences on Croisot-Teissier and Baer-Levi semigroups
cites work: Q4767916
cites work: Completely simple congruences on Croisot-Teissier semigroups
description: scientific article; zbMATH DE number 3935337