Acta mathematica Universitatis Comenianae, Tome 68 (1999) no. 2
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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
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.