Finite morphisms between differentiable algebras. (English) Zbl 0917.46018

García Zapata, J. L.

Port. Math. 55, No. 2, 129-134 (1998).

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

Keywords:

morphism; differentiable algebras; finite \(A\)-module; fibre rings