Quantum logics and bivariable functions

Eva Drobná; Oľga Nánásiová; Ľubica Valášková

Kybernetika (2010)

  • Volume: 46, Issue: 6, page 982-995
  • ISSN: 0023-5954

Abstract

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New approach to characterization of orthomodular lattices by means of special types of bivariable functions G is suggested. Under special marginal conditions a bivariable function G can operate as, for example, infimum measure, supremum measure or symmetric difference measure for two elements of an orthomodular lattice.

How to cite

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Drobná, Eva, Nánásiová, Oľga, and Valášková, Ľubica. "Quantum logics and bivariable functions." Kybernetika 46.6 (2010): 982-995. <http://eudml.org/doc/196520>.

@article{Drobná2010,
abstract = {New approach to characterization of orthomodular lattices by means of special types of bivariable functions $G$ is suggested. Under special marginal conditions a bivariable function $G$ can operate as, for example, infimum measure, supremum measure or symmetric difference measure for two elements of an orthomodular lattice.},
author = {Drobná, Eva, Nánásiová, Oľga, Valášková, Ľubica},
journal = {Kybernetika},
keywords = {finite atomistic quantum logic; orthomodular lattice; conditional state; s-map; d-map; bivariable functions; modeling infimum measure; supremum measure; simultaneous measurements; quantum logic; orthomodular lattice; s-map; d-map},
language = {eng},
number = {6},
pages = {982-995},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Quantum logics and bivariable functions},
url = {http://eudml.org/doc/196520},
volume = {46},
year = {2010},
}

TY - JOUR
AU - Drobná, Eva
AU - Nánásiová, Oľga
AU - Valášková, Ľubica
TI - Quantum logics and bivariable functions
JO - Kybernetika
PY - 2010
PB - Institute of Information Theory and Automation AS CR
VL - 46
IS - 6
SP - 982
EP - 995
AB - New approach to characterization of orthomodular lattices by means of special types of bivariable functions $G$ is suggested. Under special marginal conditions a bivariable function $G$ can operate as, for example, infimum measure, supremum measure or symmetric difference measure for two elements of an orthomodular lattice.
LA - eng
KW - finite atomistic quantum logic; orthomodular lattice; conditional state; s-map; d-map; bivariable functions; modeling infimum measure; supremum measure; simultaneous measurements; quantum logic; orthomodular lattice; s-map; d-map
UR - http://eudml.org/doc/196520
ER -

References

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  13. Nánásiová, O., Valášková, L’., Marginality and triangle inequality Internat, J. Theoret. Phys. (2010), accepted. (2010) MR2738079
  14. Navara, M., 10.1090/S0002-9939-1994-1191871-X, Proc. Amer. Math. Soc. 122 (1994), 7–12. (1994) MR1191871DOI10.1090/S0002-9939-1994-1191871-X
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