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Coherency and constructions for monoids

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dc.contributor.authorDandan, Y.
dc.contributor.authorGould, V.
dc.contributor.authorHartmann, M.
dc.contributor.authorRuskuc, Nik
dc.contributor.authorZenab, R-E.
dc.date.accessioned2021-12-11T00:44:32Z
dc.date.available2021-12-11T00:44:32Z
dc.date.issued2020-12
dc.identifier269756079
dc.identifieraab7b9f0-19b1-48bd-b575-61d4438a3ac6
dc.identifier000600666500012
dc.identifier85100180529
dc.identifier.citationDandan , Y , Gould , V , Hartmann , M , Ruskuc , N & Zenab , R-E 2020 , ' Coherency and constructions for monoids ' , Quarterly Journal of Mathematics , vol. 71 , no. 4 , pp. 1461-1488 . https://doi.org/10.1093/qmath/haaa040en
dc.identifier.issn0033-5606
dc.identifier.otherORCID: /0000-0003-2415-9334/work/86987324
dc.identifier.urihttps://hdl.handle.net/10023/24499
dc.descriptionFunding: UK Engineering and Physical Sciences Research Council (EPSRC) grant EP/I032312/1. Research also partially supported by the Hungarian Scientific Research Fund (OTKA) grant PD115705. The research of Yang Dandan was supported by grant 20170604 of the Young Talents Project of Shaanxi Association for Science and Technology, by grants 20103176174 and JB180714 of the Fundamental Research Funds for the Central Universities, and by grant 2020JM-178 of Shaanxi Province Basic Research Program of Natural Science.en
dc.description.abstractA monoid S is right coherent if every finitely generated subact of every finitely presented right S-act is finitely presented. This is a finiteness condition, and we investigate whether or not it is preserved under some standard algebraic and semigroup theoretic constructions: subsemigroups, homomorphic images, direct products, Rees matrix semi-groups, including Brandt semigroups, and Bruck–Reilly extensions. We also investigate the relationship with the property of being weakly right noetherian, which requires all right ideals of S to be finitely generated.
dc.format.extent28
dc.format.extent397258
dc.language.isoeng
dc.relation.ispartofQuarterly Journal of Mathematicsen
dc.subjectMonoiden
dc.subjectS-acten
dc.subjectCoherencyen
dc.subjectRegularen
dc.subjectFinitary propertiesen
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subject.lccQAen
dc.titleCoherency and constructions for monoidsen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.contributor.institutionUniversity of St Andrews. Centre for Interdisciplinary Research in Computational Algebraen
dc.identifier.doi10.1093/qmath/haaa040
dc.description.statusPeer revieweden
dc.date.embargoedUntil2021-12-11
dc.identifier.urlhttps://arxiv.org/abs/1906.05515en


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