Pseudoeffect Algebras. II. Group Representations |
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Authors: | Anatolij Dvurečenskij Thomas Vetterlein |
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Affiliation: | (1) Mathematical Institute, Slovak Academy of Sciences, tefánikova 49, SK-814 73 Bratislava, Slovakia |
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Abstract: | This paper is the continuation of the previous paper by Dvureenskij 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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