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Finite morphisms between differentiable algebras. (English) Zbl 0917.46018
Summary: We characterize, given a morphism $$A\to B$$ between differentiable algebras, when $$B$$ is a finite $$A$$-module by properties of the continuous map $$Y\to X$$ induced between the respective spectra and properties of the fibre rings $$B/{\mathfrak m}_xB$$.
##### MSC:
 46E25 Rings and algebras of continuous, differentiable or analytic functions 32B05 Analytic algebras and generalizations, preparation theorems 16W80 Topological and ordered rings and modules
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