On direct decompositions of certain orthomodular lattices.
Konôpka, P., Pulmannová, S. (1991)
Acta Mathematica Universitatis Comenianae. New Series
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Displaying similar documents to “Boolean and orthomodular lattices - a short characterization via commutativity”
On direct decompositions of certain orthomodular lattices.
Ring-like structures corresponding to generalized orthomodular lattices
Ivan Chajda, Helmut Länger, Maciej Mączyński (2004)
Mathematica Slovaca
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A measure-theoretic characterization of Boolean algebras among orthomodular lattices
Pavel Pták, Sylvia Pulmannová (1994)
Commentationes Mathematicae Universitatis Carolinae
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We investigate subadditive measures on orthomodular lattices. We show as the main result that an orthomodular lattice has to be distributive (=Boolean) if it possesses a unital set of subadditive probability measures. This result may find an application in the foundation of quantum theories, mathematical logic, or elsewhere.