Module Structure on Effect Algebras

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Bulletin of the Section of Logic 49 (3):269-290 (2020)
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Abstract

In this paper, by considering the notions of effect algebra and product effect algebra, we define the concept of effect module. Then we investigate some properties of effect modules, and we present some examples on them. Finally, we introduce some topologies on effect modules.

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10.18778/0138-0680.2020.17

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Effect algebras and unsharp quantum logics.D. J. Foulis & M. K. Bennett - 1994 - Foundations of Physics 24 (10):1331-1352.
Phi-symmetric effect algebras.M. K. Bennett & D. J. Foulis - 1995 - Foundations of Physics 25 (12):1699-1722.
States on Pseudo Effect Algebras and Integrals.Anatolij Dvurečenskij - 2011 - Foundations of Physics 41 (7):1143-1162.

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