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Pseudoeffect Algebras. I. Basic Properties

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Abstract

As a noncommutative generalization of effect algebras, we introduce pseudoeffect algebras and list some of their basic properties. For the purpose of a structure theory, we further define several kinds of Riesz-like properties for pseudoeffect algebras and show how they are interrelated.

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Authors and Affiliations

  1. Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, SK-814 73, Bratislava, Slovakia

    Anatolij Dvurečenskij & Thomas Vetterlein

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  1. Anatolij Dvurečenskij
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  2. Thomas Vetterlein
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Dvurečenskij, A., Vetterlein, T. Pseudoeffect Algebras. I. Basic Properties. International Journal of Theoretical Physics 40, 685–701 (2001). https://doi.org/10.1023/A:1004192715509

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  • DOI: https://doi.org/10.1023/A:1004192715509

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