Divisible Effect Algebras |
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| Authors: | Sylvia Pulmannová |
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| Institution: | 1. Mathematical Institute, Slovak Academy of Sciences, Stefánikova 49, 814 73, Bratislava, Slovakia
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| Abstract: | Divisible effect algebras and their relations to convex effect algebras and MV-algebras are studied. A categorical equivalence between divisible effect algebras and rational vector spaces is proved. Infinitesimal, sharp and extremal elements in divisible effect algebras are studied and their relations to properties of the state space are shown. |
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