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Effect Algebras and Para-Boolean Manifolds

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Abstract

It is shown that every effect algebra can be represented as a pasting of a systemwhere each element is the range of an unsharp observable. To describe the rangeof an unsharp observable algebraically, the notion of a “para-Booleanquasi-effect algebra” is introduced. Some intrinsic compatibility conditions ensuringcommensurability of effects are studied.

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Authors and Affiliations

  1. Dipartimento di Scienze dell'Informazione, Universitá di Milano, I-20135, Milan, Italy

    G. Cattaneo

  2. Dipartimento di Filosofia, Universitá di Firenze, I-50139, Florence, Italy

    M. L. Dalla Chiara

  3. Dipartimento di Scienze Pedagogiche e Filosofiche, Universitá di Cagliari, 1-09123, Cagliari, Italy

    R. Giuntini

  4. Mathematical Institute, Slovak Academy of Sciences, SK-81473, Bratislava, Slovakia

    S. Pulmannova

Authors
  1. G. Cattaneo
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  2. M. L. Dalla Chiara
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  3. R. Giuntini
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  4. S. Pulmannova
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Cattaneo, G., Dalla Chiara, M.L., Giuntini, R. et al. Effect Algebras and Para-Boolean Manifolds. International Journal of Theoretical Physics 39, 551–564 (2000). https://doi.org/10.1023/A:1003621300998

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