Foundations of Physics

, Volume 24, Issue 10, pp 1331–1352

Effect algebras and unsharp quantum logics

  • D. J. Foulis
  • M. K. Bennett
Part III. Invited Papers Dedicated to Constantin Piron

DOI: 10.1007/BF02283036

Cite this article as:
Foulis, D.J. & Bennett, M.K. Found Phys (1994) 24: 1331. doi:10.1007/BF02283036

Abstract

The effects in a quantum-mechanical system form a partial algebra and a partially ordered set which is the prototypical example of the effect algebras discussed in this paper. The relationships among effect algebras and such structures as orthoalgebras and orthomodular posets are investigated, as are morphisms and group- valued measures (or charges) on effect algebras. It is proved that there is a universal group for every effect algebra, as well as a universal vector space over an arbitrary field.

Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • D. J. Foulis
    • 1
  • M. K. Bennett
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of MassachusettsAmherst