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Compatibility problem in quasi-orthocomplemented posets. (English) Zbl 0776.06006
The author studies several notions of compatibility in quasi- orthocomplemented posets provided some distributivity conditions are fulfilled. As a result, he presents conditions under which Boolean subalgebras can be embedded into a Boolean \(\sigma\)-algebra and builds up the so-called functional calculus for observables.
Reviewer: J.Tkadlec (Praha)

06C15 Complemented lattices, orthocomplemented lattices and posets
81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)
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