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math.CO2026
Orthogonal adjointness in posets with
Michal Botur, Ivan Chajda, Helmut Länger
Motivated by the concept of polarity introduced by G. Birkhoff for a binary relation on a set, we introduce a concept of orthogonality in a poset with . A pair of operators ,…
math.LO2026
Quantales carrying ortholattice structure
Michal Botur, David Kruml, Jan Paseka
This paper investigates the intersection of residuated structures from many-valued logic and orthomodular lattices from quantum logic. We explore whether non-Boolean structures can…