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Bichains

By John Harding, Carol Walker and Elbert Walker

Abstract

Definition 1 A bisemilattice is an algebra with two commutative, associative, and idempotent binary operations · and +. A bichain is a bisemilattice in which each of the partial orders induced by the operations is a chain. A Birkhoff system is a bisemilattice satisfying Birkhoff’s equation x · (x + y) = x + (x · y)

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.4876
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