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- W2951383132 abstract "Recently Flaminio and Montagna, cite{FlMo}, extended the language of MV-algebras by adding a unary operation, called a state-operator. This notion is introduced here also for effect algebras. Having it, we generalize the Loomis--Sikorski Theorem for monotone $sigma$-complete effect algebras with internal state. In addition, we show that the category of divisible state-morphism effect algebras satisfying (RDP) and countable interpolation with an order determining system of states is dual to the category of Bauer simplices $Omega$ such that $partial_e Omega$ is an F-space." @default.
- W2951383132 created "2019-06-27" @default.
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- W2951383132 date "2010-06-02" @default.
- W2951383132 modified "2023-09-26" @default.
- W2951383132 title "Loomis--Sikorski Theorem and Stone Duality for Effect Algebras with Internal State" @default.
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- W2951383132 doi "https://doi.org/10.48550/arxiv.1006.0503" @default.
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