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Central Elements of Effect Algebras

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Abstract

Central elements of an effect algebra can be characterized by means of a weak form of distributivity and a maximality property. We give examples where both conditions are fulfilled.

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REFERENCES

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  • Pták, P. and Pulmannová, S. (1994). A measure-theoretic characterization of Boolean algebras among orthomodular lattices. Comments on Mathematics (University of Carolina) 35, 205–208.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  • Tkadlec, J. (1994). Boolean orthoposets-Concreteness and orthocompleteness. Mathematics Bohemica 119, 123–128.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Electrical Engineering, Czech Technical University, 166 27, Prague, Czech Republic

    Josef Tkadlec

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  1. Josef Tkadlec
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Tkadlec, J. Central Elements of Effect Algebras. International Journal of Theoretical Physics 43, 1363–1369 (2004). https://doi.org/10.1023/B:IJTP.0000048621.17418.bb

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  • DOI: https://doi.org/10.1023/B:IJTP.0000048621.17418.bb

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