On a characterization of probability measures on Boolean algebras and some orthomodular lattices

Helmut Länger, Maciej Mączyński · Czech digital mathematics library · 1995

Inequalities of Bell-type in Boolean algebras and in horizontal sums of such algebras are considered.Using combinatorial methods, results concerning the number of valid Bell-type inequalities are derived.Finally, the problem of extending mappings from certain subsets of finite Boolean algebras B to (finitely additive) probability measures on B is discussed.

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