Blocks of homogeneous effect algebras

Bulletin of the Australian Mathematical Society

Volumn 64, Issue 1, 2001, Pages 81-98

  Jenča, Gejza ^a  

^a Physics and Informatics   (Slovakia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002104320     PISSN: 00049727     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0004972700019705     Document Type: Article

References (20)

1. M.K. Bennett and D.J. Foulis, 'Phi-symmetric effect algebras', Foundations of Physics 25 (1995), 1699-1722.
2. L. Beran, Orthomodular lattices. Algebraic approach. (D. Reidel Publishing Co., Dordrecht, 1985).
3. P. Bush, M. Grabowski, and P. Lahti, Operational quantum physics (Springer-Verlag, Berlin, Heidelberg, New York, 1995).
4. C.C. Chang, 'Algebraic analysis of many-valued logics', Trans. Amer. Math. Soc. 89 (1959), 74-80.
5. G. Chevalier and S. Pulmannová, 'Some ideal lattices in partial abelian monoids', (preprint, Mathematical Institute of Slovak Academy of Sciences, Bratislava, 1998).
6. F. Chovanec and F. Kôpka, 'Boolean D-posets. Quantum structures', Tatra Mt Math Publ. 10 (1997), 1-15.
7. D.W. Cohen, An introduction to Hubert space and quantum logic (Springer-Verlag, Berlin, Heidelberg, New York, 1989).
8. D.J. Foulis and M.K. Bennett, 'Effect algebras and unsharp quantum logics' Found Phys. 24 (1994), 1331-1352.
9. D.J. Foulis, R. Greechie and G. Rütimann, 'Filters and supports in othoalgebras', Internat. J. Theoret. Phys. 35 (1995), 789-802.
10. R. Giuntini and H. Greuling, 'Toward a formal language for unsharp properties' Found Phys. 19 (1994), 769-780.
11. R. Greechie, D. Foulis and S. Pulmannová, 'The center of an effect algebra' Order 12 (1995), 91-106.
12. S. Gudder and S. Pulmannová, 'Quotients of partial abelian monoids', Algebra Universalis 38 (1998), 395-421.
13. G. Jenča and Z. Riečanová, 'On sharp elements in lattice ordered effect algebras' BUSEFAL 80 (1999), 24-29.
14. G. Kalmbach, Orthomodular lattices (Academic Press, New York, 1983).
15. F. Kôpka and F. Chovanec, 'D-posets', Math. Slovaca 44 (1994), 21-34.
16. G. Ludwig, Foundations of quantum mechanics (Springer-Verlag, Berlin, Heidelberg New York, 1983).
17. P. Pták and S. Pulmannová, Orthomodular structures as quantum logics (Kluwer Dordrecht, 1991).
18. K. Ravindran, On a structure theory of effect algebras, (Ph.D. thesis) (Kansas State Univ., Manhattan, KS, 1996).
19. Z. Riečanová, 'Compatibility and central elements in effect algebras', Tatra Mt Math Publ. 16 (1998), 1-8.
20. Z. Riečanová, 'A generalization of blocks for lattice effect algebras', Int. J. Theor. Phys. 39 (2000), 855-865.