Partial Boolean algebras in a broader sense

Studia Logica 38 (1):1 - 16 (1979)
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The article deals with compatible families of Boolean algebras. We define the notion of a partial Boolean algebra in a broader sense (PBA(bs)) and then we show that there is a mutual correspondence between PBA(bs) and compatible families of Boolean algebras (Theorem (1.8)). We examine in detail the interdependence between PBA(bs) and the following classes: partial Boolean algebras in the sense of Kochen and Specker (§ 2), ortholattices (§ 3, § 5), and orthomodular posets (§ 4), respectively.



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References found in this work

The Problem of Hidden Variables in Quantum Mechanics.Simon Kochen & E. P. Specker - 1967 - Journal of Mathematics and Mechanics 17:59--87.
How to Think Quantum-Logically.Hilary Putnam - 1974 - Synthese 29 (1-4):55 - 61.
On the Structure of Quantum Logic.P. D. Finch - 1969 - Journal of Symbolic Logic 34 (2):275-282.

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