D -posets

František Kôpka; Ferdinand Chovanec

Mathematica Slovaca (1994)

  • Volume: 44, Issue: 1, page 21-34
  • ISSN: 0139-9918

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Kôpka, František, and Chovanec, Ferdinand. "$D$-posets." Mathematica Slovaca 44.1 (1994): 21-34. <http://eudml.org/doc/34373>.

@article{Kôpka1994,
author = {Kôpka, František, Chovanec, Ferdinand},
journal = {Mathematica Slovaca},
keywords = {posets with difference; quantum logics; real vector lattices; orthoalgebras; MV algebras; fuzzy quantum logics},
language = {eng},
number = {1},
pages = {21-34},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {$D$-posets},
url = {http://eudml.org/doc/34373},
volume = {44},
year = {1994},
}

TY - JOUR
AU - Kôpka, František
AU - Chovanec, Ferdinand
TI - $D$-posets
JO - Mathematica Slovaca
PY - 1994
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 44
IS - 1
SP - 21
EP - 34
LA - eng
KW - posets with difference; quantum logics; real vector lattices; orthoalgebras; MV algebras; fuzzy quantum logics
UR - http://eudml.org/doc/34373
ER -

References

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  1. CHOVANEC F., Compatibility problem in quasi-orthocomplemented posets, Math. Slovaca 43 (1993), 89-103. (1993) Zbl0776.06006MR1216271
  2. CHOVANEC F., JUREČKOVÁ M., Law of large numbers in D-posets of fuzzy sets, Tatra Mountains Math. Publ. 1 (1992), 15-18. (1992) MR1230457
  3. DVUREČENSKIJ A., Gleason's Theorem and Its Applications, Kluwer Acad. Publ., Dordrecht-Boston-London, 1993. (1993) Zbl0795.46045MR1256736
  4. DVUREČENSKIJ A., KÔPKA F., On representation theorems for observables in weakly complemented posets, Demonstratio Math. 33 (1990), 911-920. (1990) Zbl0767.03032MR1124742
  5. DVUREČENSKIJ A., TIRPÁKOVÁ A., Sum of observables in fuzzy quantum spaces, Appl. Math. 37 (1992), 40-50. (1992) Zbl0753.60005MR1152156
  6. FOULIS D. J., Coupled physical systems, Found. Phys. 19 (1989), 905-922. (1989) MR1013911
  7. KÔPKA F., D-posets of fuzzy sets, Tatra Mountains Math. Publ. 1 (1992), 83-87. (1992) Zbl0797.04011MR1230466
  8. MESIAR R., Fuzzy logics and observables, Internat. J. Theoret. Phys. 32 (1993), 1143-1151. (1993) Zbl0791.03038MR1235012
  9. MESIAR R., h-fuzzy quantum logics, Found. Phys. (Submitted). Zbl0819.03049
  10. MUNDICI D., Interpretation of AF C*-algebras in Lukasiewicz sentential calculus, J. Funct. Anal. 65 (1986), 15-53. (1986) MR0819173
  11. NAVARA M., PTÁK P., Difference posets and orthoalgebras, (Submitted). 
  12. PTÁK P., PULMANNOVÁ S., Orthomodular Structures as Quantum Logics, VEDA and Kluwer Acad. PubL, Bratislava and Dordrecht, 1991. (1991) Zbl0743.03039MR1176314
  13. PYKACZ J., Quantum logics and soft fuzzy probability spaces, BUSEFAL 32 (1987), 150-157. (1987) Zbl0662.03055
  14. RIEČAN B., A new approach to some notions of statistical quantum mechanics, BUSEFAL 35 (1988), 4-6. (1988) 
  15. VARADARAJAN V. S., Geometry of Quantum Theory, Van Nostrand. New York, 1968. (1968) Zbl0155.56802MR0471674
  16. WEBER S., Two integrals and some modified version-critical remarks, Fuzzy Sets and Systems 20 (1986), 97-105. (1986) MR0852872

Citations in EuDML Documents

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  1. Stanley P. Gudder, Richard Greechie, Effect algebra counterexamples
  2. Beloslav Riečan, On the strong law of large numbers on some ordered structures
  3. Antonio Di Nola, Anatolij Dvurečenskij, Marek Hyčko, Corrado Manara, Entropy on effect algebras with the Riesz decomposition property I: Basic properties
  4. Beloslav Riečan, Upper and lower limits of sequences of observables in D-posets of fuzzy sets
  5. Sylvia Pulmannová, Blocks in homogeneous effect algebras and MV-algebras
  6. Vladimír Olejček, Every uniformly Archimedean atomic MV-effect algebra is sharply dominating
  7. Sylvia Pulmannová, Elena Vinceková, Congruences and ideals in lattice effect algebras as basic algebras
  8. Grzegorz Bińczak, Joanna Kaleta, Andrzej Zembrzuski, Matrix representation of finite effect algebras
  9. Stanley P. Gudder, Sylvia Pulmannová, Representation theorem for convex effect algebras
  10. Maria Gabriella Graziano, Some problems for measures on non-standard algebraic structures

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