Product Effect Algebras |
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Authors: | Anatolij Dvurečenskij |
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Institution: | (1) Mathematical Institute, Slovak Academy of Sciences, tefánikova 49, SK-814 73 Bratislava, Slovakia |
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Abstract: | We introduce a product on an effect algebra. We prove that every product effect algebra with the Riesz decomposition property (RDP), is an interval in an Abelian unital interpolation po-ring, and we show that the category of product effect algebras with the RDP is categorically equivalent with the category of unital Abelian interpolation po-rings. In addition, we show that every product effect algebra with the RDP and with 1 as a product unity is a subdirect product of antilattice product effect algebras with the RDP. |
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Keywords: | effect algebra the Riesz decomposition property product effect algebra po-ring perfecteffect algebra categorical equivalence |
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