Partial Boolean algebras in a broader sense

Studia Logica 38 (1):1 - 16 (1979)
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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DOI 10.1007/BF00493669
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P. D. Finch (1969). On the Structure of Quantum Logic. Journal of Symbolic Logic 34 (2):275-282.

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