A Munn type representation for a class of \(E\)-semiadequate semigroups
type: Item
instance of: scholarly article
title: A Munn type representation for a class of \(E\)-semiadequate semigroups
zbMATH Open document ID: 0940.20064
author: Gracinda M. S. Gomes
author: Victoria Gould
author: John Fountain
published in: Journal of Algebra
publication date: 1999-12-20T00:00:00Z
review text: In an old paper of the reviewer [\textit{M. V. Lawson}, J. Algebra 141, No. 2, 422-462 (1991; Zbl 0747.18007)], a class of semigroups closely related to Ehresmann's ordered categories was studied as generalisations of inverse semigroups. Such semigroups are termed `\(E\)-semiadequate'. The study of this class of semigroups is taken further by the authors in the paper under review. They establish two interesting results. Firstly, they generalise the Munn semigroup and its concomitant theory to a class of \(E\)-semiadequate semigroups. Secondly, they prove, amongst other things, that the Schützenberger product of two monoids is \(E\)-semiadequate.
Mathematics Subject Classification ID: 20M18
Mathematics Subject Classification ID: 20M10
Mathematics Subject Classification ID: 20M50
zbMATH DE Number: 1348179
zbMATH Keywords: semilattices
zbMATH Keywords: ample semigroups
zbMATH Keywords: \(E\)-semiadequate semigroups
zbMATH Keywords: ordered categories
zbMATH Keywords: generalisations of inverse semigroups
zbMATH Keywords: Munn semigroups
zbMATH Keywords: Schützenberger products
MaRDI profile type: Publication
full work available at URL: jabr.1999.7871
OpenAlex ID: W1985814675
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DOI: 10.1006/JABR.1999.7871
description: scientific article; zbMATH DE number 1348179