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A measure-theoretic characterization of Boolean algebras among orthomodular lattices
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 205-208 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 03G12, 06C15, 28E15, 81P10
Keywords: orthomodular lattice; subadditive probability measure 
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Pták, Pavel; Pulmannová, Sylvia. A measure-theoretic characterization of Boolean algebras  among orthomodular lattices. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 205-208. http://geodesic.mathdoc.fr/item/CMUC_1994_35_1_a19/