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Mitsch's order and inclusion for binary relations and partitions
journal contribution
posted on 2023-05-26, 08:37 authored by FitzGerald, DGMitsch'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.
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