On ordered regular semigroups with biggest inverses
type: Item
instance of: scholarly article
title: On ordered regular semigroups with biggest inverses
zbMATH Open document ID: 0869.06010
DOI: 10.1007/BF02676598
author: T. S. Blyth
author: Guilherme A. Pinto
published in: Semigroup Forum
publication date: 1997-08-25T00:00:00Z
full work available at URL: https://eudml.org/doc/135516
review text: The authors consider only ordered regular semigroups \(S\) which have the property that every element \(x\) has a biggest inverse \(x^0\). The main result is: If \(e\), \(f\) are idempotents of \(S\) such that \(e\leq f\), then the semigroup \(\langle e,f,e^0,f^0\rangle\) is a principally ordered band with at most 24 elements. Also given is a complete description of this band and it is shown how it simplifies in natural special cases.
Mathematics Subject Classification ID: 06F05
Mathematics Subject Classification ID: 20M17
zbMATH DE Number: 994592
zbMATH Keywords: ordered regular semigroups
zbMATH Keywords: biggest inverse
zbMATH Keywords: principally ordered band
reviewed by: Dimitru Buşneag
MaRDI profile type: Publication
cites work: On the endomorphism semigroup of an ordered set
cites work: On naturally ordered regular semigroups with biggest idempotents
cites work: Naturally ordered orthodox dubreil-jacotin semigroups
cites work: Naturally ordered regular semigroups with a greatest idempotent
cites work: Principally ordered regular semigroups
cites work: Idempotents in principally ordered regular semigroups
cites work: Residuated regular semigroups
cites work: Naturally ordered regular semigroups with maximum inverses
OpenAlex ID: W1974374081
description: scientific article; zbMATH DE number 994592