On connections among some orthomodular structures

Demonstratio Mathematica

Volumn 30, Issue 2, 1997, Pages 313-328

  Pulmannová, Sylvia ^a  

^a INSTITUTE OF CHEMISTRY   (Slovakia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000456072     PISSN: 04201213     EISSN: 23914661     Source Type: Journal    
DOI: 10.1515/dema-1997-0210     Document Type: Article

References (26)

1. J. C. Abbott, Semi-Boolean algebras, Matematicki Vesnik, 4(1967), 177-198.
2. L. Beran, Orthomodular lattices - Algebraic approach, D. Reidel Publ. Company, Dordrecht, Holland, 1985.
3. M. K. Bennett, D. J. Foulis, Phi-symmetric effect algebras, Found. Phys., 25(1995), 1699-1722.
4. P. Burmeister, M. J. Maczyński, Orthomodular (partial) algebras and their representations, Demonstratio Math., 27(1994), 701-722.
5. P. Busch, P. Lahti, P. Mittelstaedt, The quantum theory of measurement, Springer-Verlag, Berlin, Heidelberg, New York, London, Budapest, 1991.
6. C. C. Chang, Algebraic analysis of many valued logics, Trans. Amer. Math. Soc, 88(1959), 467-490.
7. A. Dvurecenskij, S. Pulmannova, Difference posets, effects and quantum measurements, Rep. Math. Phys., 34(1994), 151-170.
8. D. J. Foulis, M. K. Bennett, Effect algebras and unsharp quantum logics, Found. Phys., 24(1994), 1325-1346.
9. D. Foulis, R. Greechie, S. Pulmannova, The center of an effect algebra, Order 12(1995), 91-106.
10. R. Giuntini, H. Greuling, Toward a formal language for unsharp properties, Found. Phys., 19(1989), 931-945.
11. J. Hedlíková, S. Pulmannová, Generalized difference posets and orthoalgebras, Acta Math. Univ. Comenian. 65(2) (1996), 247-279.
12. M. F. Janowitz, A note on generalized orthomodular lattices, J. Natur. Sci. Math., 8(1968), 89-94.
13. F. Kôpka, Compatibility in D-posets, Internat. J. Theoret. Phys., 34(1995), 1525-1531.
14. F. Kôpka, F. Chovanec, D-posets, Math. Slovaca, 44(1994), 21-34.
15. F. Kôpka, F. Chovanec, D-lattices, Internat. J. Theoret. Phys., 34(1995), 1297-1302.
16. F. Kôpka, F. Chovanec, Boolean D-posets, TATRA Mt. Math. Publ. 10(1997), to appear.
17. P. F. Lock, G. M. Hardegree, Connections among quantum logics I., Quantum propositional logics, Internat. J. Theoret. Phys., 24(1985), 43-52.
18. P. F. Lock, G. M. Hardegree, Connections among quantum logics II., Quantum event logics, Internat. J. Theoret. Phys., 24(1985), 55-61.
19. P. Mangani, Su certe algebre conesse con logiche a piu valori, Boll. Un. Mat. Ital., 8(1973), 68-78.
20. ∗-algebras in Lukasziewicz sentential calculus, J. Funct. Anal., 65(1986), 15-63.
21. S. Pulmannová, A remark on orthomodular partial algebras, Demonstratio Math., 27(1994), 687-699.
22. S. Pulmannová, A. Wilce, Representations of D-posets, Internat. J. Theoret. Phys., 34(1995), 1689-1696.
23. K. Ravindran, On a structure theory of effect algebras, Thesis (1995)
24. K. D. Schmidt, Jordan decompositions of generalized vector measures, Longman Scientific & Technical, Longman group UK Limited, Essex, England, 1989.
25. A. Wilce, Partial abelian semigroups, Internat. J. Theoret. Phys., 34(1995), 1807-1812.
26. O. Wyler, Clans, Compositio Math., 17(1966), 172-180.