Geodesic
A measure-theoretic characterization of Boolean algebras among orthomodular lattices
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 205-208.

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

We investigate subadditive measures on orthomodular lattices. We show as the main result that an orthomodular lattice has to be distributive (=Boolean) if it possesses a unital set of subadditive probability measures. This result may find an application in the foundation of quantum theories, mathematical logic, or elsewhere.
Classification : 03G12, 06C15, 28E15, 81P10
Keywords: orthomodular lattice; subadditive probability measure 
@article{CMUC_1994__35_1_a19,
     author = {Pt\'ak, Pavel and Pulmannov\'a, Sylvia},
     title = {A measure-theoretic characterization of {Boolean} algebras  among orthomodular lattices},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {205--208},
     publisher = {mathdoc},
     volume = {35},
     number = {1},
     year = {1994},
     mrnumber = {1292596},
     zbl = {0805.06010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1994__35_1_a19/}
}
TY  - JOUR
AU  - Pták, Pavel
AU  - Pulmannová, Sylvia
TI  - A measure-theoretic characterization of Boolean algebras  among orthomodular lattices
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1994
SP  - 205
EP  - 208
VL  - 35
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_1994__35_1_a19/
LA  - en
ID  - CMUC_1994__35_1_a19
ER  - 
%0 Journal Article
%A Pták, Pavel
%A Pulmannová, Sylvia
%T A measure-theoretic characterization of Boolean algebras  among orthomodular lattices
%J Commentationes Mathematicae Universitatis Carolinae
%D 1994
%P 205-208
%V 35
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_1994__35_1_a19/
%G en
%F CMUC_1994__35_1_a19
Pták, Pavel; Pulmannová, Sylvia. A measure-theoretic characterization of Boolean algebras  among orthomodular lattices. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 205-208. http://geodesic.mathdoc.fr/item/CMUC_1994__35_1_a19/