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Difference posets in the quantum structures background - MaRDI portal

Difference posets in the quantum structures background (Q1586450)

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scientific article; zbMATH DE number 1529140
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Difference posets in the quantum structures background
scientific article; zbMATH DE number 1529140

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    Difference posets in the quantum structures background (English)
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    25 February 2001
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    The authors give a survey of relations of difference posets with other quantum structures -- orthoalgebras, orthomodular posets -- considering also special cases of lattices and lattices with pairwise compatible elements. They prove that every pair of regular observables has a joint observable provided we deal with an atomic \(\sigma\)-complete Boolean difference poset such that the set of atoms is countable.
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    difference poset
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    orthoalgebra
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    orthomodular poset
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    MV-algebra
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    Boolean algebra
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    observable
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    survey
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