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On the growth of generating sets for direct powers of semigroups

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dc.contributor.authorHyde, James Thomas
dc.contributor.authorLoughlin, Nicholas
dc.contributor.authorQuick, Martyn
dc.contributor.authorRuskuc, Nik
dc.contributor.authorWallis, Alistair
dc.date.accessioned2011-12-23T09:38:40Z
dc.date.available2011-12-23T09:38:40Z
dc.date.issued2012
dc.identifier.citationHyde , J T , Loughlin , N , Quick , M , Ruskuc , N & Wallis , A 2012 , ' On the growth of generating sets for direct powers of semigroups ' , Semigroup Forum , vol. 84 , no. 1 , pp. 116-130 . https://doi.org/10.1007/s00233-011-9352-4en
dc.identifier.issn0037-1912
dc.identifier.otherPURE: 5264895
dc.identifier.otherPURE UUID: 9aa8e582-8369-4348-8576-4046e357c50d
dc.identifier.otherScopus: 84856288819
dc.identifier.otherORCID: /0000-0002-5227-2994/work/58054923
dc.identifier.otherORCID: /0000-0003-2415-9334/work/73702075
dc.identifier.urihttps://hdl.handle.net/10023/2129
dc.description.abstractFor a semigroup S its d-sequence is d(S) = (d1, d2, d3, . . .), where di is the smallest number of elements needed to generate the ith direct power of S. In this paper we present a number of facts concerning the type of growth d(S) can have when S is an infinite semigroup, comparing them with the corresponding known facts for infinite groups, and also for finite groups and semigroups.
dc.language.isoeng
dc.relation.ispartofSemigroup Forumen
dc.rightsThis is an author version of this article. The original publication (c) Springer Science+ Business Media, LLC 20011 is available at www.springerlink.comen
dc.subjectSemigroupen
dc.subjectMonoiden
dc.subjectDirect poweren
dc.subjectGenerating seten
dc.subjectQA Mathematicsen
dc.subject.lccQAen
dc.titleOn the growth of generating sets for direct powers of semigroupsen
dc.typeJournal articleen
dc.contributor.sponsorEPSRCen
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews. School of Mathematics and Statisticsen
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.contributor.institutionUniversity of St Andrews. Centre for Interdisciplinary Research in Computational Algebraen
dc.identifier.doihttps://doi.org/10.1007/s00233-011-9352-4
dc.description.statusPeer revieweden
dc.identifier.grantnumberEP/H011978/1en


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