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idéaux des fonctions lissesIdeals of the ring of smooth functions

Quels sont les idéaux fermés ou non des fonctions lisses?

The ring $C^\infty(M)$ of smooth functions on a smooth manifold $M$ is a topological ring with respect to the Whitney topology and the usual ring operations. Is it possible to describe, maybe under some conditions on $M$, the ideals and the closed ideals of $C^\infty(M)$?

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