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Partitioned binary relations
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2013 (English)In: Mathematica Scandinavica, ISSN 0025-5521, E-ISSN 1903-1807, Vol. 113, no 1, 30-52 p.Article in journal (Refereed) Published
Abstract [en]

We define the category of partitioned binary relations and show that it contains many classical diagram categories, including categories of binary relations, maps, injective maps, partitions, (oriented) Brauer diagrams and (oriented) Temperley-Lieb diagrams. We construct a one-parameter deformation of the category of partitioned binary relations and show that it gives rise to classical one-parameter deformations of partition, Brauer and Temperley-Lieb categories. Finally, we describe a factorization of partitioned binary relations into a product of certain idempotents and pairs of usual binary relations.

Place, publisher, year, edition, pages
2013. Vol. 113, no 1, 30-52 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-210759ISI: 000325836900003OAI: oai:DiVA.org:uu-210759DiVA: diva2:664182
Available from: 2013-11-14 Created: 2013-11-14 Last updated: 2017-12-06Bibliographically approved

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Mazorchuk, Volodymyr

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