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Central Elements of Atomic Effect Algebras

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Abstract

Various conditions ensuring that an atomic effect algebra is a Boolean algebra are presented.

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References

  • Dvurečenskij, A. and Länger, H. (1995). Bell-type inequalities in orthomodular lattices I, Inequalities of order 2. International Journal of Theoretical Physics 34, 995–1024.

    Article  MathSciNet  Google Scholar 

  • Foulis, D. J. and Bennett, M. K. (1994). Effect algebras and unsharp quantum logics. Foundations of Physics 24, 1331–1352.

    Article  MathSciNet  Google Scholar 

  • Greechie, R. J. (1969). A particular non-atomistic orthomodular poset. Communications in Mathematical Physics 14, 326–328.

    Article  MathSciNet  ADS  Google Scholar 

  • Greechie, R. J., Foulis, D. and Pulmannová, S. (1995). The center of an effect algebra. Order 12, 91–106.

    Article  MathSciNet  Google Scholar 

  • Müller, V. (1993). Jauch–Piron states on concrete quantum logics. International Journal of Theoretical Physics 32, 433–442.

    Article  MathSciNet  Google Scholar 

  • Müller, V., Pták, P. and Tkadlec, J. (1992). Concrete quantum logics with covering properties, International Journal of Theoretical Physics 31 (1992), 843–854.

    Google Scholar 

  • Navara, M. (1997). On generating finite orthomodular sublattices. Tatra Mountains Mathematical Publications 10, 109–117.

    MathSciNet  Google Scholar 

  • Navara, M. and Pták, P. (1989). Almost Boolean orthomodular posets. Journal of Pure and Applied Algebra 60 (1989), 105–111.

    Google Scholar 

  • Pták, P. and Pulmannová, S. (1994). A measure-theoretic characterization of Boolean algebras among orthomodular lattices. Commentationes Mathematicae Universitatis Carolinae 35, 205–208.

    MathSciNet  Google Scholar 

  • Pulmannová, S. (1993). A remark on states on orthomodular lattices. Tatra Mountains Mathematical Publications 2, 209–219.

    MathSciNet  Google Scholar 

  • Pulmannová, S. and Majerník, V. (1992). Bell inequalities on quantum logics, Journal of Mathematical Physics 33, 2173–2178.

    Article  MathSciNet  ADS  Google Scholar 

  • Tkadlec, J. (1994). Boolean orthoposets—concreteness and orthocompleteness. Mathematica Bohemica 119, 123–128.

    MathSciNet  Google Scholar 

  • Tkadlec, J. (1995). Subadditivity of states on quantum logics. International Journal of Theoretical Physics 34, 1767–1774.

    Article  MathSciNet  Google Scholar 

  • Tkadlec, J. (1997). Conditions that force an orthomodular poset to be a Boolean algebra. Tatra Mountains Mathematical Publications 10, 55–62.

    MathSciNet  Google Scholar 

  • Tkadlec, J. (2004). Central elements of effect algebras. International Journal of Theoretical Physics 43, 1363–1369.

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Electrical Engineering, Czech Technical University, Prague, Czech Republic

    Josef Tkadlec

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  1. Josef Tkadlec
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Correspondence to Josef Tkadlec.

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PACS: 02.10.-v.

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Tkadlec, J. Central Elements of Atomic Effect Algebras. Int J Theor Phys 44, 2295–2302 (2005). https://doi.org/10.1007/s10773-005-8024-0

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  • DOI: https://doi.org/10.1007/s10773-005-8024-0

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