Foundations of Physics 25 (12):1699-1722 (1995)

Abstract
The notion of a Sasaki projectionon an orthomodular lattice is generalized to a mapping Φ: E × E → E, where E is an effect algebra. If E is lattice ordered and Φ is symmetric, then E is called a Φ-symmetric effect algebra.This paper launches a study of such effect algebras. In particular, it is shown that every interval effect algebra with a lattice-ordered ambient group is Φ-symmetric, and its group is the one constructed by Ravindran in his proof that every effect algebra that has the Riesz decomposition property is an interval algebra. It is shown that the doubling construction introduced in the paper is connected to the conditional event algebrasof Goodman, Nguyen, and Walker
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DOI 10.1007/BF02057883
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References found in this work BETA

Effect Algebras and Unsharp Quantum Logics.D. J. Foulis & M. K. Bennett - 1994 - Foundations of Physics 24 (10):1331-1352.

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Citations of this work BETA

States on Pseudo Effect Algebras and Integrals.Anatolij Dvurečenskij - 2011 - Foundations of Physics 41 (7):1143-1162.
Module Structure on Effect Algebras.Simin Saidi Goraghani & Rajab Ali Borzooei - 2020 - Bulletin of the Section of Logic 49 (3):269-290.

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