A NOTE ON THE LEBESGUE-DARST DECOMPOSITION THEOREM
Acta mathematica Universitatis Comenianae, Tome 68 (1999) no. 2
N. Bouzar. A NOTE ON THE LEBESGUE-DARST DECOMPOSITION THEOREM. Acta mathematica Universitatis Comenianae, Tome 68 (1999) no. 2. http://geodesic.mathdoc.fr/item/AMUC_1999_68_2_a14/
@article{AMUC_1999_68_2_a14,
     author = {N. Bouzar},
     title = {A {NOTE} {ON} {THE} {LEBESGUE-DARST} {DECOMPOSITION} {THEOREM}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {1999},
     volume = {68},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_1999_68_2_a14/}
}
TY  - JOUR
AU  - N. Bouzar
TI  - A NOTE ON THE LEBESGUE-DARST DECOMPOSITION THEOREM
JO  - Acta mathematica Universitatis Comenianae
PY  - 1999
VL  - 68
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/AMUC_1999_68_2_a14/
ID  - AMUC_1999_68_2_a14
ER  - 
%0 Journal Article
%A N. Bouzar
%T A NOTE ON THE LEBESGUE-DARST DECOMPOSITION THEOREM
%J Acta mathematica Universitatis Comenianae
%D 1999
%V 68
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_1999_68_2_a14/
%F AMUC_1999_68_2_a14

Voir la notice de l'article provenant de la source Comenius University

The purpose of this note is to show that the Lebesgue-Darst decomposition for finitely additive measures on algebras can be derived from its well-known counterpart for countably additive measures on $\sigma$-algebras and the Stone representation theorem for algebras.