On order continuity of quantum structures and their homomorphisms

Demonstratio Mathematica

Volumn 29, Issue 2, 1996, Pages 433-443

  Riečanová, Zdenka ^a  

^a SLOVAK UNIVERSITY OF TECHNOLOGY   (Slovakia)

Author keywords

Abelian RI poset and semigroup; Compactly generated; D poset; Effect algebra; Homomorphism; Order continuity; Order convergence; Order topology; Orthoalgebra; Orthomodular poset

Indexed keywords

EID: 0001103475     PISSN: 04201213     EISSN: 23914661     Source Type: Journal    
DOI: 10.1515/dema-1996-0220     Document Type: Article

References (13)

1. P. De Lucia, A. Dvurečenskij, Decompositions of Riesz space-valued measures on orthomodular posets, Tatra Mountains Math. Publ. 2(1993), 229-239.
2. P. De Lucia, A. Dvurečenskij, Yosida-Hewit decompositions of Riesz spacevalued measures on orthoalgebras, Tatra Mountains Math. Publ. 3(1993), 101-110.
3. P. De Lucia, P. Morales, Decomposition theorems in Riesz spaces, Preprint Univ. di Napoli (1992).
4. A. Dvurečenskij, B. Riečan, Decompositions on orthoalgebras and difference posets, Internal. J. Theoret. Phys. 33(1994), 1387-1402.
5. D. Foulis, M. K. Bennett, Effect algebras and unsharp quantum logics, Found. Phys. 24(1994), 1325-1346.
6. D. H. Fremlin, Topological Riesz Spaces and Measure Theory. Cambridge University Press, 1974.
7. G. Kalmbach, Measures and Hilbert lattices. World Scientific, Singapore, 1986.
8. G. Kalmbach, Z. Riečanová, An axiomatization for abelian relative inverses, Demonstratio Math. 27 no. 3-4(1994), 769-780.
9. F. Kôpka, F. Chovanec, D-posets, Math. Slovaca 44 no. 1(1994), 21-34.
10. R. Mesiar, Differences on 〈0, 1〉, Tatra Mountains Math. Publ. 6(1995), 131-140.
11. P. Pták, S. Pulmannová, Orthomodular structures as quantum logics. Kluwer Academic Publishers, Dordrecht, Boston, London, 1991.
12. Z. Riečanová, Measures and topologies on atomic quantum logics, Mathematical Research, Vol. 666, Topology, Measures and Fractals. Akademie Verlag, 1992, 154-161.
13. Z. Riečanová, On proper orthoalgebras, difference posets and abelian relative inverse semigroup, Tatra Mountains Math. Publ. 10, (to appear).