A generalization of Zariski’s main theorem
Author:
E. Graham Evans
Journal:
Proc. Amer. Math. Soc. 26 (1970), 45-48
MSC:
Primary 13.10
DOI:
https://doi.org/10.1090/S0002-9939-1970-0260716-8
MathSciNet review:
0260716
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Abstract | References | Similar Articles | Additional Information
Abstract: This note extends techniques of Peskine and Zariski to prove a generalization of Zariski’s Main Theorem which allows infinite integral extensions of finitely generated rings.
- I. S. Cohen and A. Seidenberg, Prime ideals and integral dependence, Bull. Amer. Math. Soc. 52 (1946), 252–261. MR 15379, DOI https://doi.org/10.1090/S0002-9904-1946-08552-3
- Wolfgang Krull, Idealtheorie, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 46, Springer-Verlag, Berlin-New York, 1968 (German). Zweite, ergänzte Auflage. MR 0229623
- Christian Peskine, Une généralisation du “main theorem” de Zariski, Bull. Sci. Math. (2) 90 (1966), 119–127 (French). MR 206037
- Oscar Zariski, Foundations of a general theory of birational correspondences, Trans. Amer. Math. Soc. 53 (1943), 490–542. MR 8468, DOI https://doi.org/10.1090/S0002-9947-1943-0008468-9
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Additional Information
Keywords:
Integral extensions,
isolated primes,
prime ideals,
conductor
Article copyright:
© Copyright 1970
American Mathematical Society