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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.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.otherPURE: 266392978
dc.identifier.otherPURE UUID: 59bd838b-4f42-48f6-b30c-954ccec91836
dc.identifier.otherScopus: 85079794616
dc.identifier.otherWOS: 000516189300001
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.language.isoeng
dc.relation.ispartofMonatshefte für Mathematiken
dc.rightsCopyright © The Author(s) 2020. Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.en
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.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doihttps://doi.org/10.1007/s00605-020-01391-x
dc.description.statusPeer revieweden


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