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Mitsch's order and inclusion for binary relations and partitions
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.
History
Publication title
Semigroup ForumVolume
87Pagination
161-170ISSN
0037-1912Department/School
School of Natural SciencesPublisher
Springer-VerlagPlace of publication
175 Fifth Ave, New York, USA, Ny, 10010Rights statement
Copyright 2012 Springer Science+Business Media New YorkRepository Status
- Restricted