Abstract
In this paper the conditions for D-posets to become orthoalgebras, orthomodularposets, orthomodular lattices, MV-algebras, and Boolean algebras are presented.Also some properties of observables are investigated. It is proved that any tworegular observables in an atomic σ-complete Boolean D-poset have a jointobservable.
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Chovanec, F., Kôpka, F. Difference Posets in the Quantum StructuresBackground. International Journal of Theoretical Physics 39, 571–583 (2000). https://doi.org/10.1023/A:1003625401906
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DOI: https://doi.org/10.1023/A:1003625401906