Abstract
The purpose of this note is to generalize to the case of positive characteristic the nice theorem on analytic equations proved by M. Artin in the case of characteristic zero. The excellence of the involved rings is used in the proof.
Similar content being viewed by others
Bibliography
André, M.: Homologie des algèbres commutatives. Berlin-Heidelberg-New-York. Springer Verlag 1974
Artin, M.: On the solutions of analytic equations. Invent. Math.5 277–291 (1968)
Kiehl, R.: Ausgezeichnete Ringe in der nichtarchimedischen analytischen Geometrie. J. Reine Angew. Math.234 89–98 (1969)
Tougeron, J-C.: Idéaux de fonctions différentiables. Berlin-Heidelberg-New-York. Springer Verlag 1972
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
André, M. Artin's theorem on the solutions of analytic equations in positive characteristic. Manuscripta Math 15, 341–347 (1975). https://doi.org/10.1007/BF01486604
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01486604