Quantum logics and bivariable functions
Kybernetika, Tome 46 (2010) no. 6, pp. 982-995.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 03G10, 03G12, 03G25, 03H05
Keywords: finite atomistic quantum logic; orthomodular lattice; conditional state; s-map; d-map; bivariable functions; modeling infimum measure; supremum measure; simultaneous measurements
@article{KYB_2010__46_6_a5,
     author = {Drobn\'a, Eva and N\'an\'asiov\'a, O\'lga and Val\'a\v{s}kov\'a, \'Lubica},
     title = {Quantum logics and bivariable functions},
     journal = {Kybernetika},
     pages = {982--995},
     publisher = {mathdoc},
     volume = {46},
     number = {6},
     year = {2010},
     mrnumber = {2797422},
     zbl = {1229.03054},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2010__46_6_a5/}
}
TY  - JOUR
AU  - Drobná, Eva
AU  - Nánásiová, Oĺga
AU  - Valášková, Ĺubica
TI  - Quantum logics and bivariable functions
JO  - Kybernetika
PY  - 2010
SP  - 982
EP  - 995
VL  - 46
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KYB_2010__46_6_a5/
LA  - en
ID  - KYB_2010__46_6_a5
ER  - 
%0 Journal Article
%A Drobná, Eva
%A Nánásiová, Oĺga
%A Valášková, Ĺubica
%T Quantum logics and bivariable functions
%J Kybernetika
%D 2010
%P 982-995
%V 46
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KYB_2010__46_6_a5/
%G en
%F KYB_2010__46_6_a5
Drobná, Eva; Nánásiová, Oĺga; Valášková, Ĺubica. Quantum logics and bivariable functions. Kybernetika, Tome 46 (2010) no. 6, pp. 982-995. http://geodesic.mathdoc.fr/item/KYB_2010__46_6_a5/