3 papers
math.LO2026
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…
math.LO2025
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…
math.LO2025
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…