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On residual finiteness of monoids, their Schützenberger groups and associated actions
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dc.contributor.author | Gray, R | |
dc.contributor.author | Ruskuc, Nik | |
dc.date.accessioned | 2015-03-25T00:01:36Z | |
dc.date.available | 2015-03-25T00:01:36Z | |
dc.date.issued | 2014-06-01 | |
dc.identifier | 5158139 | |
dc.identifier | dff505cb-eafe-4475-9a83-2ad8d0782e05 | |
dc.identifier | 84897892858 | |
dc.identifier | 000335616600002 | |
dc.identifier.citation | Gray , R & Ruskuc , N 2014 , ' On residual finiteness of monoids, their Schützenberger groups and associated actions ' , Journal of Algebra , vol. 407 , pp. 21-45 . https://doi.org/10.1016/j.jalgebra.2014.02.025 | en |
dc.identifier.issn | 0021-8693 | |
dc.identifier.other | ORCID: /0000-0003-2415-9334/work/73702083 | |
dc.identifier.uri | https://hdl.handle.net/10023/6310 | |
dc.description | RG was supported by an EPSRC Postdoctoral Fellowship EP/E043194/1 held at the University of St Andrews, Scotland. | en |
dc.description.abstract | In this paper we discuss connections between the following properties: (RFM) residual finiteness of a monoid M ; (RFSG) residual finiteness of Schützenberger groups of M ; and (RFRL) residual finiteness of the natural actions of M on its Green's R- and L-classes. The general question is whether (RFM) implies (RFSG) and/or (RFRL), and vice versa. We consider these questions in all the possible combinations of the following situations: M is an arbitrary monoid; M is an arbitrary regular monoid; every J-class of M has finitely many R- and L-classes; M has finitely many left and right ideals. In each case we obtain complete answers, which are summarised in a table. | |
dc.format.extent | 356542 | |
dc.language.iso | eng | |
dc.relation.ispartof | Journal of Algebra | en |
dc.subject | Residual fitness | en |
dc.subject | Schützenberger group | en |
dc.subject | Monoid | en |
dc.subject | QA Mathematics | en |
dc.subject | BDC | en |
dc.subject.lcc | QA | en |
dc.title | On residual finiteness of monoids, their Schützenberger groups and associated actions | en |
dc.type | Journal article | en |
dc.contributor.sponsor | EPSRC | en |
dc.contributor.sponsor | EPSRC | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | 10.1016/j.jalgebra.2014.02.025 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2015-03-25 | |
dc.identifier.grantnumber | EP/I032282/1 | en |
dc.identifier.grantnumber | EP/E043194/1 | en |
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