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dc.contributor.authorDombi, Erzsebet Rita
dc.contributor.authorRuskuc, Nik
dc.date.accessioned2011-12-23T13:08:36Z
dc.date.available2011-12-23T13:08:36Z
dc.date.issued2009-06
dc.identifier.citationDombi , E R & Ruskuc , N 2009 , ' On generators and presentations of semidirect products in inverse semigroups ' , Bulletin of the Australian Mathematical Society , vol. 79 , no. 3 , pp. 353-365 . https://doi.org/10.1017/S0004972708000890en
dc.identifier.issn0004-9727
dc.identifier.otherPURE: 2338120
dc.identifier.otherPURE UUID: 83afa52b-97aa-40d8-8a9d-9f2721c80eeb
dc.identifier.otherWOS: 000267092300001
dc.identifier.otherScopus: 77957223891
dc.identifier.otherORCID: /0000-0003-2415-9334/work/73702034
dc.identifier.urihttps://hdl.handle.net/10023/2136
dc.description.abstractIn this paper we prove two main results. The first is a necessary and sufficient condition for a semidirect product of a semilattice by a group to be finitely generated. The second result is a necessary and sufficient condition for such a semidirect product to be finitely presented.
dc.format.extent13
dc.language.isoeng
dc.relation.ispartofBulletin of the Australian Mathematical Societyen
dc.rights(c) 2009 Australian Mathematical Societyen
dc.subjectInverse semigroupsen
dc.subjectSemidirect productsen
dc.subjectGeneratorsen
dc.subjectPresentationsen
dc.subjectGroupsen
dc.subjectSemilatticesen
dc.subjectActionsen
dc.subjectFinite generationen
dc.subjectPresentabilityen
dc.subjectMonoidsen
dc.titleOn generators and presentations of semidirect products in inverse semigroupsen
dc.typeJournal articleen
dc.contributor.sponsorEPSRCen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.contributor.institutionUniversity of St Andrews. School of Mathematics and Statisticsen
dc.contributor.institutionUniversity of St Andrews. Centre for Interdisciplinary Research in Computational Algebraen
dc.identifier.doihttps://doi.org/10.1017/S0004972708000890
dc.description.statusPeer revieweden
dc.identifier.urlhttp://www.scopus.com/inward/record.url?scp=77957223891&partnerID=8YFLogxKen
dc.identifier.urlhttp://journals.cambridge.org/action/displayFulltext?type=1&fid=5569060&jid=BAZ&volumeId=79&issueId=03&aid=5569052en
dc.identifier.grantnumberEP/C523229/1en


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