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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)

MOI4R&Pfin.pdf | Download (130kB)
Available under University of Tasmania Standard License.


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
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