S. Pulmannova et K. Svozil, IDEALS IN ORTHOLATTICES, BELL INEQUALITIES, AND SIMULTANEOUSLY DEFINITE PROPERTIES, International journal of theoretical physics, 36(7), 1997, pp. 1547-1563
The notion of quasiboolean algebras (Bell and Clifton, 1995) is compar
ed with related notions of semiprime ideals, commutator ideals, partia
l compatibility, joint distributions of observables, and Bell inequali
ties on orthomodular lattices. Some consequences of characterizations
of simultaneously definite properties are derived.