Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 55, No. 2, pp. 129-134 (1998)

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Finite Morphisms Between Differentiable Algebras

Juan Luis García Zapata

Departamento de Matemáticas, Universidad de Extremadura,
06071 Badajoz - SPAIN
E-mail: jgzapata@ba.unex.es

Abstract: 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 $B/\m_x B$.

Classification (MSC2000): 46E25, 32B05, 16W80

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