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Properties of the subsemigroups of the bicyclic monoid
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dc.contributor.author | Descalco, L. | |
dc.contributor.author | Ruskuc, Nik | |
dc.date.accessioned | 2012-01-04T11:41:47Z | |
dc.date.available | 2012-01-04T11:41:47Z | |
dc.date.issued | 2008-06 | |
dc.identifier.citation | Descalco , 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/s10587-008-0018-7 | en |
dc.identifier.issn | 0011-4642 | |
dc.identifier.other | PURE: 610732 | |
dc.identifier.other | PURE UUID: 9d0a2fae-081d-4e93-94ee-e73b8b5224e1 | |
dc.identifier.other | WOS: 000256754700002 | |
dc.identifier.other | Scopus: 45249101099 | |
dc.identifier.other | ORCID: /0000-0003-2415-9334/work/73702016 | |
dc.identifier.uri | https://hdl.handle.net/10023/2142 | |
dc.description.abstract | In 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.extent | 20 | |
dc.language.iso | eng | |
dc.relation.ispartof | Czechoslovak Mathematical Journal | en |
dc.rights | This is an author version of this article. The original publication (c)2008 Springer is available at www.springerlink.com | en |
dc.subject | Bicyclic monoid | en |
dc.subject | Subsemigroup | en |
dc.subject | Generators | en |
dc.subject | Defining relations | en |
dc.subject | Automatic structures | en |
dc.subject | Automatic semigroups | en |
dc.subject | QA Mathematics | en |
dc.subject.lcc | QA | en |
dc.title | Properties of the subsemigroups of the bicyclic monoid | en |
dc.type | Journal article | en |
dc.contributor.sponsor | EPSRC | en |
dc.description.version | Postprint | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.contributor.institution | University of St Andrews. School of Mathematics and Statistics | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | https://doi.org/10.1007/s10587-008-0018-7 | |
dc.description.status | Peer reviewed | en |
dc.identifier.url | http://www.scopus.com/inward/record.url?scp=45249101099&partnerID=8YFLogxK | en |
dc.identifier.grantnumber | EP/C523229/1 | en |
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