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dc.contributor.authorDescalco, L.
dc.contributor.authorRuskuc, Nik
dc.date.accessioned2012-01-04T11:41:47Z
dc.date.available2012-01-04T11:41:47Z
dc.date.issued2008-06
dc.identifier.citationDescalco , L & Ruskuc , N 2008 , ' Properties of the subsemigroups of the bicyclic monoid ' , Czechoslovak Mathematical Journal , vol. 58 , no. 2 , pp. 311-330 . https://doi.org/10.1007/s10587-008-0018-7en
dc.identifier.issn0011-4642
dc.identifier.otherPURE: 610732
dc.identifier.otherPURE UUID: 9d0a2fae-081d-4e93-94ee-e73b8b5224e1
dc.identifier.otherWOS: 000256754700002
dc.identifier.otherScopus: 45249101099
dc.identifier.otherORCID: /0000-0003-2415-9334/work/73702016
dc.identifier.urihttps://hdl.handle.net/10023/2142
dc.description.abstractIn this paper we study some properties of the subsemigroups of the bicyclic monoid B, by using a recent description of its subsemigroups. We start by giving necessary and sufficient conditions for a subsemigroup to be finitely generated. Then we show that all finitely generated subsemigroups are automatic and finitely presented. Finally we prove that a subsemigroup of B is residually finite if and only if it does not contain a copy of B.
dc.format.extent20
dc.language.isoeng
dc.relation.ispartofCzechoslovak Mathematical Journalen
dc.rightsThis is an author version of this article. The original publication (c)2008 Springer is available at www.springerlink.comen
dc.subjectBicyclic monoiden
dc.subjectSubsemigroupen
dc.subjectGeneratorsen
dc.subjectDefining relationsen
dc.subjectAutomatic structuresen
dc.subjectAutomatic semigroupsen
dc.subjectQA Mathematicsen
dc.subject.lccQAen
dc.titleProperties of the subsemigroups of the bicyclic monoiden
dc.typeJournal articleen
dc.contributor.sponsorEPSRCen
dc.description.versionPostprinten
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/10.1007/s10587-008-0018-7
dc.description.statusPeer revieweden
dc.identifier.urlhttp://www.scopus.com/inward/record.url?scp=45249101099&partnerID=8YFLogxKen
dc.identifier.grantnumberEP/C523229/1en


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