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arXiv · 1208.6366

Mitsch's order and inclusion for binary relations and partitions

D. G. FitzGerald
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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.

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D. G. FitzGerald. 2012-08-31. Mitsch's order and inclusion for binary relations and partitions. https://arxiv.org/abs/1208.6366

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