Generalization of blocks for D-lattices and lattice-ordered effect algebras

International Journal of Theoretical Physics

Volumn 39, Issue 2, 2000, Pages 231-237

  Riečanová, Zdenka ^a  

^a SLOVAK UNIVERSITY OF TECHNOLOGY   (Slovakia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034349055     PISSN: 00207748     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1003619806024     Document Type: Article

References (18)

1. 1. Belluce, L. P., Semi-simple and complete MV-algebras, Algebra Universalis 29 (1992), 1-9.
2. 2. Birkhoff, G., Lattice Theory, AMS. Providence, Rhode Island, (1967).
3. 3. Chang, C. C., Algebraic analysis of many-valued logics. Trans. Am. Math. Soc. 88 (1958), 467-490.
4. 4. Chang, C. C., A new proof of the completeness of the Lukasiewicz axioms, Trans. Am. Math. Soc. 89 (1959), 74-80.
5. 5. Foulis, D. J., and Bennett, M. K., Effect algebras and unsharp quantum logics. Found. Phys. 24 (1994), 1331-1352.
6. 6. Giuntini, R., and Greuling, H., Toward a formal language for unsharp properties, Found. Phys. 20 (1989), 931-945.
7. 7. Greechie, R. J., Foulis, D., and Pulmannová, S., The center of an effect algebra, Order 12 (1995), 91-106.
8. 8. Jakubík, J., On complete MV-algebras, Czech. Math. J. 45 (1995), 473-480.
9. 9. Kalmbach, G., Orthomodular Lattices, Academic Press, London, (1983).
10. 10. Kalmbach, G., and Riećanová, Z., An axiomatization for Abelian relative inverses, Demonstratio Math. 27 (1994), 769-780.
11. 11. Kôpka, F., D-posets of fuzzy sets, Tatra Mt. Math. Publ. 1 (1992), 83-87.
12. 12. Kôpka, F., On compatibility in D-posets, Int. J. Theor. Phys. 8 (1995), 1525-1531.
13. 13. Kôpka, F., and Chovanec, F., D-posets, Math. Slovaca 44 (1994), 21-34.
14. 14. Kôpka, F., and Chovanec, F., Boolean D-posets, Tatra Mt. Math. Publ. 10 (1997), 183-197.
15. 15. Mundici, D., Interpretation of AFC*-algebras in Lukasiewicz sentential calculus, J. Funct. Anal. 65 (1986), 15-65.
16. 16. Pták, P., and Pulmannová, S., Orthomodular Structures as Quantum Logics, Kluwer Academic, Boston, (1991).
17. 17. Riečanová, Z., Compatibility and central elements in effect algebras, Tatra M. Math. Publ. 16 (1999), 1-8.
18. 18. Riečanová, Z., Subalgebras, intervals and central elements of generalized effect algebras, Int. J. Theor. Phys. 38 (1999), 3209-3220.