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Effect algebras and quantum MV algebras

  • M. Dalla Chiara
  • R. Giuntini
  • R. Greechie
Chapter
Part of the Trends in Logic book series (TREN, volume 22)

Abstract

In Chapter 4 we have seen how the system of all effects in a Hilbert space gives rise to a “genuine” Brouwer Zadeh poset (which is neither an orthoposet nor a lattice). We will now study other interesting ways of structuring the set of all concrete effects. In particular, we will see how effect algebras and quantum MV algebras naturally emerge from effect-systems.

Keywords

Boolean Algebra Effect Algebra Generalize Complement Orthomodular Lattice Partial Order Relation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • M. Dalla Chiara
    • 1
  • R. Giuntini
    • 2
  • R. Greechie
    • 3
  1. 1.University of FlorenceItaly
  2. 2.University of CagliariItaly
  3. 3.Louisiana Tech UniversityRustonUSA

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