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Mitsch's order and inclusion for binary relations and partitions

Citation

FitzGerald, DG, Mitsch's order and inclusion for binary relations and partitions, Semigroup Forum, 87, (1) pp. 161-170. ISSN 0037-1912 (2013) [Refereed Article]

Copyright Statement

Copyright 2012 Springer Science+Business Media New York

DOI: doi:10.1007/s00233-012-9453-8

Abstract

Mitsch's natural partial order on the semigroup of binary relations is here characterised by equations in the theory of relation algebras. The natural partial order has a complex relationship with the compatible partial order of inclusion, which is explored by means of a sublattice of the lattice of preorders on the semigroup. The corresponding sublattice for the partition monoid is also described.

Item Details

Item Type:Refereed Article
Keywords:semigroup of binary relations, partition monoid, natural partial order, set inclusion
Research Division:Mathematical Sciences
Research Group:Pure Mathematics
Research Field:Algebra and Number Theory
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:FitzGerald, DG (Dr Des FitzGerald)
ID Code:83587
Year Published:2013 (online first 2012)
Deposited By:Mathematics and Physics
Deposited On:2013-03-19
Last Modified:2014-04-01
Downloads:0

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