Displaying similar documents to “Local analytic rings”

Analytic rings

Eduardo Dubuc, Gabriel Taubin (1983)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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Weierstrass division theorem in quasianalytic local rings

Abdelhafed Elkhadiri, Hassan Sfouli (2008)

Studia Mathematica

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The main result of this paper is the following: if the Weierstrass division theorem is valid in a quasianalytic differentiable system, then this system is contained in the system of analytic germs. This result has already been known for particular examples, such as the quasianalytic Denjoy-Carleman classes.