Geodesic
The structure of closed ideals in a certain ring of functions
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (1967), pp. 70-77

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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. 
@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},
     publisher = {mathdoc},
     number = {6},
     year = {1967},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1967_6_a6/}
}
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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/