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Mitsch's order and inclusion for binary relations and partitions
FitzGerald, DG (2012) Mitsch's order and inclusion for binary relations and partitions. Semigroup Forum. (Submitted)
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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.
|Journal or Publication Title:||Semigroup Forum|
|Date Deposited:||12 Sep 2012 03:12|
|Last Modified:||18 Nov 2014 04:42|
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