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Mitsch's order and inclusion for binary relations and partitions

journal contribution
posted on 2023-05-17, 16:46 authored by Desmond FitzGeraldDesmond FitzGerald
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 Forum

Volume

87

Pagination

161-170

ISSN

0037-1912

Department/School

School of Natural Sciences

Publisher

Springer-Verlag

Place of publication

175 Fifth Ave, New York, USA, Ny, 10010

Rights statement

Copyright 2012 Springer Science+Business Media New York

Repository Status

  • Restricted

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