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Note on Generalizations of Orthocomplete and Lattice Effect Algebras

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Abstract

It is proved that two different common generalizations of orthocomplete and lattice effect algebras coincide within the class of separable Archimedean effect algebras.

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References

  1. De Simone, A., Navara, M.: Yosida-Hewitt and Lebesgue decompositions of states on orthomodular posets. Tech. Report no. 40, Università “Federico II” Napoli, Italy (1997)

  2. Dvurečenskij, A., Pulmannová, S.: New Trends in Quantum Structures. Kluwer Academic, Bratislava (2000)

    MATH  Google Scholar 

  3. Foulis, D.J., Bennett, M.K.: Effect algebras and unsharp quantum logics. Found. Phys. 24, 1331–1352 (1994). doi:10.1007/BF02283036

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. Ovchinnikov, P.G.: On alternative orthomodular posets. Demonstr. Math. 27, 89–93 (1994)

    MathSciNet  MATH  Google Scholar 

  5. Tkadlec, J.: Conditions that force an orthomodular poset to be a Boolean algebra. Tatra Mt. Math. Publ. 10, 55–62 (1997)

    MathSciNet  MATH  Google Scholar 

  6. Tkadlec, J.: Central elements of effect algebras. Int. J. Theor. Phys. 43, 1363–1369 (2004). doi:10.1023/B:IJTP.0000048621.17418.bb

    Article  MathSciNet  MATH  Google Scholar 

  7. Tkadlec, J.: Atomic sequential effect algebras. Int. J. Theor. Phys. 47, 185–192 (2008). doi:10.1007/s10773-007-9492-1

    Article  MathSciNet  MATH  Google Scholar 

  8. Tkadlec, J.: Atomistic and orthoatomistic effect algebras. J. Math. Phys. 49, 053505 (2008). doi:10.1063/1.2912228

    Article  MathSciNet  ADS  Google Scholar 

  9. Tkadlec, J.: Effect algebras with the maximality property. Algebra Univers. 61, 187–194 (2009). doi:10.1007/s00012-009-0013-3

    Article  MathSciNet  MATH  Google Scholar 

  10. Tkadlec, J.: Common generalizations of orthocomplete and lattice effect algebras. Int. J. Theor. Phys. 49, 3279–3285 (2010). doi:10.1007/s10773-009-0108-9

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Josef Tkadlec.

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Tkadlec, J. Note on Generalizations of Orthocomplete and Lattice Effect Algebras. Int J Theor Phys 50, 3915–3918 (2011). https://doi.org/10.1007/s10773-011-0781-3

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  • DOI: https://doi.org/10.1007/s10773-011-0781-3

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