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Mitsch's order and inclusion for binary relations and partitions
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FitzGerald, DG 2012
, 'Mitsch's order and inclusion for binary relations and partitions'
, Semigroup Forum
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MOI4R&Pfin.pdf | Download (130kB) Available under University of Tasmania Standard License. |
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.
| Item Type: | Article |
|---|---|
| Authors/Creators: | FitzGerald, DG |
| Journal or Publication Title: | Semigroup Forum |
| Item Statistics: | View statistics for this item |
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