Atomic Effect Algebras with the Riesz Decomposition Property |
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| Authors: | Anatolij Dvurečenskij Yongjian Xie |
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| Affiliation: | 1.Mathematical Institute,Slovak Academy of Sciences,Bratislava,Slovakia;2.Depar. Algebra Geom.,Palacky Univer.,Olomouc,Czech Republic;3.College of Mathematics and Information Science,Shaanxi Normal University,Xi’an,China |
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| Abstract: | We discuss the relationships between effect algebras with the Riesz Decomposition Property and partially ordered groups with interpolation. We show that any σ-orthocomplete atomic effect algebra with the Riesz Decomposition Property is an MV-effect algebras, and we apply this result for pseudo-effect algebras and for states. |
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