4 papers · 1 filter
Duality for partial orthomodular lattices
Joseph McDonald
Partial orthomodular lattices are an intermediate class of algebras between ortholattices and orthomodular lattices. In this short note, we obtain a duality for partial orthomodula…
Orthogonality relations and operators on bounded quasi-implication algebras
Joseph McDonald
In this note, we study various relational and algebraic aspects of the bounded quasi-implication algebras introduced by Hardegree. By generalizing the constructions given by MacLar…
Functional monadic ortholattices and locally finite -free polyadic ortholattices
Chun-Yu Lin, Joseph McDonald
In this paper, we show that every monadic ortholattice is isomorphic to a functional one, thereby resolving a recent question posed by Harding. We then study certain substitution-f…
Monadic ortholattices: completions and duality
John Harding, Joseph McDonald, Miguel Peinado
We show that the variety of monadic ortholattices is closed under MacNeille and canonical completions. In each case, the completion of is obtained by forming an associated dual…