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dc.contributor.authorCarvalho, Catarina
dc.identifier.citationCarvalho , C 2009 , ' On presentations of Bruck-Reilly extensions ' , Communications in Algebra , vol. 37 , no. 8 , pp. 2871-2886 .
dc.identifier.otherPURE: 777661
dc.identifier.otherPURE UUID: 29a0b9de-9dad-452d-8833-0765bc288f00
dc.identifier.otherScopus: 70449484095
dc.identifier.otherORCID: /0000-0002-4648-7016/work/62748313
dc.description.abstractWe first consider the class of monoids in which every left invertible element is also right invertible, and prove that if a monoid belonging to this class admits a finitely presented Bruck–Reilly extension then it is finitely generated. This allow us to obtain necessary and sufficient conditions for the Bruck–Reilly extensions of this class of monoids to be finitely presented. We then prove that thes D-classes of a Bruck–Reilly extension of a Clifford monoid are Bruck–Reilly extensions of groups. This yields another necessary and sufficient condition for these Bruck–Reilly extensions to be finitely generated and presented. Finally, we show that a Bruck–Reilly extension of a Clifford monoid is finitely presented as an inverse monoid if and only if it is finitely presented as a monoid, and that this property cannot be generalized to Bruck–Reilly extensions of arbitrary inverse monoids.en
dc.relation.ispartofCommunications in Algebra
dc.titleOn presentations of Bruck-Reilly extensionsen
dc.contributor.institutionSchool of Physics, Astronomy and Mathematics
dc.contributor.institutionScience & Technology Research Institute
dc.description.statusPeer reviewed
rioxxterms.typeJournal Article/Review

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