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Mitsch's order and inclusion for binary relations and partitions

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FitzGerald, DG (2012) Mitsch's order and inclusion for binary relations and partitions. Semigroup Forum. (Submitted)

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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 Type: Article
Journal or Publication Title: Semigroup Forum
Date Deposited: 12 Sep 2012 03:12
Last Modified: 18 Nov 2014 04:42
URI: http://eprints.utas.edu.au/id/eprint/15000
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