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Ends of semigroups
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dc.contributor.author | Craik, S. | |
dc.contributor.author | Gray, R. | |
dc.contributor.author | Kilibarda, V. | |
dc.contributor.author | Mitchell, J. D. | |
dc.contributor.author | Ruskuc, N. | |
dc.date.accessioned | 2016-08-04T09:30:09Z | |
dc.date.available | 2016-08-04T09:30:09Z | |
dc.date.issued | 2016-10 | |
dc.identifier | 241707811 | |
dc.identifier | 7181b17d-4181-4d46-a90a-1ee03d086646 | |
dc.identifier | 84980047832 | |
dc.identifier | 000383476500006 | |
dc.identifier.citation | Craik , S , Gray , R , Kilibarda , V , Mitchell , J D & Ruskuc , N 2016 , ' Ends of semigroups ' , Semigroup Forum , vol. 93 , no. 2 , pp. 330-346 . https://doi.org/10.1007/s00233-016-9814-9 | en |
dc.identifier.issn | 0037-1912 | |
dc.identifier.other | ArXiv: http://arxiv.org/abs/1409.1044v1 | |
dc.identifier.other | ORCID: /0000-0002-5489-1617/work/73700818 | |
dc.identifier.other | ORCID: /0000-0003-2415-9334/work/73702067 | |
dc.identifier.uri | https://hdl.handle.net/10023/9254 | |
dc.description.abstract | We define the notion of the partial order of ends of the Cayley graph of a semigroup. We prove that the structure of the ends of a semigroup is invariant under change of finite generating set and at the same time is inherited by subsemigroups and extensions of finite Rees index. We prove an analogue of Hopf's Theorem, stating that a group has 1, 2 or infinitely many ends, for left cancellative semigroups and that the cardinality of the set of ends is invariant in subsemigroups and extension of finite Green index in left cancellative semigroups. | |
dc.format.extent | 17 | |
dc.format.extent | 590624 | |
dc.language.iso | eng | |
dc.relation.ispartof | Semigroup Forum | en |
dc.subject | Digraph | en |
dc.subject | Ends | en |
dc.subject | Cayley graph | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.title | Ends of semigroups | 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.contributor.institution | University of St Andrews. School of Mathematics and Statistics | en |
dc.identifier.doi | 10.1007/s00233-016-9814-9 | |
dc.description.status | Peer reviewed | en |
dc.identifier.grantnumber | EP/H011978/1 | en |
dc.identifier.grantnumber | EP/I032282/1 | en |
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