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Free monoids are coherent

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dc.contributor.authorGould, V
dc.contributor.authorHartmann, M
dc.contributor.authorRuskuc, Nik
dc.date.accessioned2016-12-16T00:32:39Z
dc.date.available2016-12-16T00:32:39Z
dc.date.issued2017-02
dc.identifier.citationGould , V , Hartmann , M & Ruskuc , N 2017 , ' Free monoids are coherent ' , Proceedings of the Edinburgh Mathematical Society , vol. 60 , no. 1 , pp. 127-131 . https://doi.org/10.1017/S0013091516000079en
dc.identifier.issn0013-0915
dc.identifier.otherPURE: 224611483
dc.identifier.otherPURE UUID: 51a88dee-9cad-453b-829c-e35122261ca7
dc.identifier.otherScopus: 84976567965
dc.identifier.otherWOS: 000392129500008
dc.identifier.otherORCID: /0000-0003-2415-9334/work/73702038
dc.identifier.urihttps://hdl.handle.net/10023/9979
dc.description.abstractA monoid S is said to be right coherent if every finitely generated subact of every finitely presented right S-act is finitely presented. Left coherency is defined dually and S is coherent if it is both right and left coherent. These notions are analogous to those for a ring R (where, of course, S-acts are replaced by R-modules). Choo, Lam and Luft have shown that free rings are coherent. In this note we prove that, correspondingly, any free monoid is coherent, thus answering a question posed by the first author in 1992.
dc.format.extent5
dc.language.isoeng
dc.relation.ispartofProceedings of the Edinburgh Mathematical Societyen
dc.rights© 2015, Edinburgh Mathematical Society. This work is made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at journals.cambridge.org / https://dx.doi.org/10.1017/S0013091516000079en
dc.subjectFree monoidsen
dc.subjectS-actsen
dc.subjectCoherencyen
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subject.lccQAen
dc.titleFree monoids are coherenten
dc.typeJournal articleen
dc.contributor.sponsorEPSRCen
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews. School of Mathematics and Statisticsen
dc.identifier.doihttps://doi.org/10.1017/S0013091516000079
dc.description.statusPeer revieweden
dc.date.embargoedUntil2016-12-15
dc.identifier.grantnumberEP/I032282/1en


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