Mitsch's order and inclusion for binary relations and partitions
Group Theory
2015-07-21 v1
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.
Cite
@article{arxiv.1208.6366,
title = {Mitsch's order and inclusion for binary relations and partitions},
author = {D. G. FitzGerald},
journal= {arXiv preprint arXiv:1208.6366},
year = {2015}
}
Comments
8 pages, 2 figures