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Congruences on infinite partition and partial Brauer monoids
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dc.contributor.author | East, James | |
dc.contributor.author | Ruskuc, Nik | |
dc.date.accessioned | 2021-05-12T11:30:02Z | |
dc.date.available | 2021-05-12T11:30:02Z | |
dc.date.issued | 2021-05-09 | |
dc.identifier | 274171848 | |
dc.identifier | 09739e09-a1e6-4056-b36a-49ec743b4aa1 | |
dc.identifier | 000806406700005 | |
dc.identifier | 85131562217 | |
dc.identifier.citation | East , J & Ruskuc , N 2021 , ' Congruences on infinite partition and partial Brauer monoids ' , Moscow Mathematical Journal . | en |
dc.identifier.issn | 1609-4514 | |
dc.identifier.uri | https://hdl.handle.net/10023/23164 | |
dc.description | Funding: The first author is supported by ARC Future Fellowship FT190100632. The second author is supported by EPSRC grant EP/S020616/1. | en |
dc.description.abstract | We give a complete description of the congruences on the partition monoid PX and the partial Brauer monoid PBX, where X is an arbitrary infinite set, and also of the lattices formed by all such congruences. Our results complement those from a recent article of East, Mitchell, Ruškuc and Torpey, which deals with the finite case. As a consequence of our classification result, we show that the congruence lattices of PX and PBX are isomorphic to each other, and are distributive and well quasi-ordered. We also calculate the smallest number of pairs of partitions required to generate any congruence; when this number is infinite, it depends on the cofinality of certain limit cardinals. | |
dc.format.extent | 1026626 | |
dc.language.iso | eng | |
dc.relation.ispartof | Moscow Mathematical Journal | en |
dc.subject | Diagram monoids | en |
dc.subject | Partition monoids | en |
dc.subject | Partial Brauer monoids | en |
dc.subject | Congruences | en |
dc.subject | Well quasi-orderdness | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.title | Congruences on infinite partition and partial Brauer monoids | en |
dc.type | Journal article | 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.description.status | Peer reviewed | en |
dc.identifier.url | https://arxiv.org/abs/1809.07427 | en |
dc.identifier.grantnumber | EP/S020616/1 | en |
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