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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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