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Cancellative and Malcev presentations for finite Rees index subsemigroups and extensions

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dc.contributor.authorCain, Alan James
dc.contributor.authorRobertson, Edmund Frederick
dc.contributor.authorRuskuc, Nik
dc.date.accessioned2011-12-23T14:08:37Z
dc.date.available2011-12-23T14:08:37Z
dc.date.issued2008-02
dc.identifier600313
dc.identifierfe819b9e-45a3-4c67-a073-7522a3482b98
dc.identifier000259753600004
dc.identifier48349100626
dc.identifier.citationCain , A J , Robertson , E F & Ruskuc , N 2008 , ' Cancellative and Malcev presentations for finite Rees index subsemigroups and extensions ' , Journal of the Australian Mathematical Society , vol. 84 , no. 1 , pp. 39-61 . https://doi.org/10.1017/S1446788708000086en
dc.identifier.issn1446-7887
dc.identifier.otherORCID: /0000-0003-2415-9334/work/73702039
dc.identifier.urihttps://hdl.handle.net/10023/2138
dc.description.abstractIt is known that, for semigroups, the property of admitting a finite presentation is preserved on passing to subsemigroups and extensions of finite Rees index. The present paper shows that the same holds true for Malcev, cancellative, left-cancellative and right-cancellative presentations. (A Malcev (respectively, cancellative, left-cancellative, right-cancellative) presentation is a presentation of a special type that can be used to define any group-embeddable (respectively, cancellative, left-cancellative, right-cancellative) semigroup.).
dc.format.extent23
dc.format.extent218413
dc.language.isoeng
dc.relation.ispartofJournal of the Australian Mathematical Societyen
dc.subjectMaclev presentationen
dc.subjectCancellativeen
dc.subjectSubsemigroupen
dc.subjectFinite indexen
dc.subjectRewritingen
dc.subjectQA Mathematicsen
dc.subject.lccQAen
dc.titleCancellative and Malcev presentations for finite Rees index subsemigroups and extensionsen
dc.typeJournal articleen
dc.contributor.sponsorEPSRCen
dc.contributor.institutionUniversity of St Andrews. Applied Mathematicsen
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.contributor.institutionUniversity of St Andrews. Centre for Interdisciplinary Research in Computational Algebraen
dc.identifier.doi10.1017/S1446788708000086
dc.description.statusPeer revieweden
dc.identifier.urlhttp://www.scopus.com/inward/record.url?scp=48349100626&partnerID=8YFLogxKen
dc.identifier.grantnumberEP/C523229/1en


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