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dc.contributor.authorEast, James
dc.contributor.authorRuskuc, Nik
dc.identifier.citationEast , J & Ruskuc , N 2021 , ' Congruences on infinite partition and partial Brauer monoids ' , Moscow Mathematical Journal .en
dc.identifier.otherPURE: 274171848
dc.identifier.otherPURE UUID: 09739e09-a1e6-4056-b36a-49ec743b4aa1
dc.descriptionFunding: The first author is supported by ARC Future Fellowship FT190100632. The second author is supported by EPSRC grant EP/S020616/1.en
dc.description.abstractWe 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.relation.ispartofMoscow Mathematical Journalen
dc.rightsCopyright © 2021 Higher School of Economics, Independent University of Moscow. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at
dc.subjectDiagram monoidsen
dc.subjectPartition monoidsen
dc.subjectPartial Brauer monoidsen
dc.subjectWell quasi-orderdnessen
dc.subjectQA Mathematicsen
dc.titleCongruences on infinite partition and partial Brauer 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.description.statusPeer revieweden

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