Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (1967), pp. 70-77
Citer cet article
N. B. Levina. The structure of closed ideals in a certain ring of functions. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (1967), pp. 70-77. http://geodesic.mathdoc.fr/item/VMUMM_1967_6_a6/
@article{VMUMM_1967_6_a6,
author = {N. B. Levina},
title = {The structure of closed ideals in a certain ring of functions},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {70--77},
year = {1967},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1967_6_a6/}
}
TY - JOUR
AU - N. B. Levina
TI - The structure of closed ideals in a certain ring of functions
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1967
SP - 70
EP - 77
IS - 6
UR - http://geodesic.mathdoc.fr/item/VMUMM_1967_6_a6/
LA - ru
ID - VMUMM_1967_6_a6
ER -
%0 Journal Article
%A N. B. Levina
%T The structure of closed ideals in a certain ring of functions
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1967
%P 70-77
%N 6
%U http://geodesic.mathdoc.fr/item/VMUMM_1967_6_a6/
%G ru
%F VMUMM_1967_6_a6
A normed ring $P(Q)$ of continuous functions is considered on a Hausdorff compact space $Q$ with a dynamic system given on it. A function on $Q$ belongs to the ring in question if and only if it has $p$ continuous derivatives along the paths of this system. The main theorem is: each closed ideal in such a ring is an intersection of primary ideals.
