Specification of finite effect algebras

International Journal of Theoretical Physics

Volumn 39, Issue 3, 2000, Pages 665-676

  Foulis, D J ^a   Greechie, R J ^b  

^a UNIVERSITY OF MASSACHUSETTS   (United States)

^b Louisiana Tech University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034348427     PISSN: 00207748     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1003641905541     Document Type: Article

References (11)

1. 1. Busch, P., Lahti, P., and Mittelstaedt, P., The Quantum Theory of Measurement, 2nd ed., Springer-Verlag, Berlin, 1996.
2. 2. Bennett, M. K., and Foulis, D. J., Interval and scale effect algebras, Advances in Applied Mathematics 19 (1997) 200-215.
3. 3. Foulis, D. J., and Bennett, M. K., Effect algebras and unsharp quantum logics, Foundations of Physics 24 (1994) 1325-1346.
4. 4. Foulis, D. J., Bennett, M. K., and Greechie, R. J., Test groups and effect algebras, International Journal of Theoretical Physics 35 (1996) 1117-1140.
5. 5. Foulis, D. J., Greechie, R. J., and Bennett, M. K., Sums and products of interval algebras, International Journal of Theoretical Physics 33 (1994) 2119-2136.
6. 6. Foulis, D. J., and Greechie, R. J., Probability weights and measures on finite effect algebras, International Journal of Theoretical Physics, to appear.
7. 7. Greechie, R. J., and Foulis, D. J., The transition to effect algebras, International Journal of Theoretical Physics 34 (1995) 1369-1382.
8. 8. Greechie, R. J., Foulis, D. J., and Pulmannová, S., The center of an effect algebra, Order 12 (1995) 91-106.
9. 9. Navara, M., An orthomodular lattice admitting no group-valued measures, Proceedings of the American Mathematical Society 122 (1994) 7-12.
10. 10. Stoer, J., and Witzgall, C., Convexity and Optimization in Finite Dimensions I, Springer-Verlag, New York, 1970.
11. 11. Weber, H., There are orthomodular lattices without nontrivial group-valued measures: A computer based construction. Journal of Mathematical Analysis and Applications 183 (1994) 89-93.