Displaying similar documents to “Some problems for measures on non-standard algebraic structures”

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.

Lyapunov measures on effect algebras

Anna Avallone, Giuseppina Barbieri (2003)

Commentationes Mathematicae Universitatis Carolinae

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We prove a Lyapunov type theorem for modular measures on lattice ordered effect algebras.