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Semigroups for which every right congruence of finite index is finitely generated

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dc.contributor.authorMiller, Craig
dc.date.accessioned2020-03-02T12:30:01Z
dc.date.available2020-03-02T12:30:01Z
dc.date.issued2020-02-18
dc.identifier266392978
dc.identifier59bd838b-4f42-48f6-b30c-954ccec91836
dc.identifier85079794616
dc.identifier000516189300001
dc.identifier.citationMiller , C 2020 , ' Semigroups for which every right congruence of finite index is finitely generated ' , Monatshefte für Mathematik , vol. First Online . https://doi.org/10.1007/s00605-020-01391-xen
dc.identifier.issn0026-9255
dc.identifier.urihttps://hdl.handle.net/10023/19569
dc.descriptionThe author would like to thank his supervisor, Professor Nik Ruškuc, for his advice and guidance during the writing of this paper, and EPSRC for financial support.en
dc.description.abstractWe call a semigroup S f-noetherian if every right congruence of finite index on S is finitely generated. We prove that every finitely generated semigroup is f-noetherian, and investigate whether the properties of being f-noetherian and being finitely generated coincide for various semigroup classes.
dc.format.extent24
dc.format.extent336365
dc.language.isoeng
dc.relation.ispartofMonatshefte für Mathematiken
dc.subjectSemigroupen
dc.subjectRight congruenceen
dc.subjectFinite generationen
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subject.lccQAen
dc.titleSemigroups for which every right congruence of finite index is finitely generateden
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doi10.1007/s00605-020-01391-x
dc.description.statusPeer revieweden


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