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 |