A generalization of Zariski’s main theorem
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- by E. Graham Evans
- Proc. Amer. Math. Soc. 26 (1970), 45-48
- DOI: https://doi.org/10.1090/S0002-9939-1970-0260716-8
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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.References
- I. S. Cohen and A. Seidenberg, Prime ideals and integral dependence, Bull. Amer. Math. Soc. 52 (1946), 252–261. MR 15379, DOI 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, DOI 10.1007/978-3-642-87033-0
- 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 10.1090/S0002-9947-1943-0008468-9
Bibliographic Information
- © Copyright 1970 American Mathematical Society
- 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