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Keywords:
orthomodular poset; concrete quantum logic; Boolean algebra; covering; Jauch-Piron state; orthocompleteness
orthomodular poset; concrete quantum logic; Boolean algebra; covering; Jauch-Piron state; orthocompleteness
Summary:
We present three results stating when a concrete (=set-representable) quantum logic with covering properties (generalization of compatibility) has to be a Boolean algebra. These results complete and generalize some previous results [3, 5] and answer partiallz a question posed in [2].
References:
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[8] J. Tkаdlec: Conditions that force an orthomodular poset to be a Boolean algebra. Tatra Mt. Math. Publ. 10 (1997), 55-62. MR 1469281
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