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Pseudoeffect Algebras. II. Group Representations

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Abstract

This paper is the continuation of the previous paper by Dvurečenskij and Vetterlein (2001), Int. J. Theor. Phys. 40(3). We show that any pseudoeffect algebra fulfilling a certain property of Riesz type is representable by a unit interval of some (not necessarily Abelian) partially ordered group. The relation of pseudoeffect to pseudo-MV algebras is made clear, and the &ell-group representation theorem for the latter structure is re-proved.

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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. II. Group Representations. International Journal of Theoretical Physics 40, 703–726 (2001). https://doi.org/10.1023/A:1004144832348

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  • DOI: https://doi.org/10.1023/A:1004144832348

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