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Subjects
28-XX Measure and integration
28Exx Miscellaneous topics in measure theory
28E15 Other connections with logic and set theory

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A measure-theoretic characterization of Boolean algebras among orthomodular lattices

Pavel Pták, Sylvia Pulmannová (1994)

Commentationes Mathematicae Universitatis Carolinae

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.

An ideal theoretic characterization of finite sets, finite algebras, and $σ$ -algebras of countably generated type

Detlef Plachky (2001)

Mathematica Slovaca

Currently displaying 1 – 2 of 2

Page 1

Displaying 1 – 2 of 2

A measure-theoretic characterization of Boolean algebras among orthomodular lattices

An ideal theoretic characterization of finite sets, finite algebras, and σ -algebras of countably generated type

Currently displaying 1 – 2 of 2

An ideal theoretic characterization of finite sets, finite algebras, and $σ$ -algebras of countably generated type