Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A generalization of Zariski's main theorem

Author: E. Graham Evans
Journal: Proc. Amer. Math. Soc. 26 (1970), 45-48
MSC: Primary 13.10
MathSciNet review: 0260716
Full-text PDF

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.

References [Enhancements On Off] (What's this?)

  • [1] I. S. Cohen and A. Seidenberg, Prime ideals and integral dependence, Bull. Amer. Math. Soc. 52 (1946), 252-261. MR 7, 410. MR 0015379 (7:410a)
  • [2] Wolfgang Krull, Idealtheorie, Zweite, ergänzte Auflage, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 46, Springer-Verlag, Berlin and New York, 1968. MR 37 #5197. MR 0229623 (37:5197)
  • [3] C. Peskine, Une généralisation du ``main theorem'' de Zariski, Bull. Sci. Math. (2) 90 (1966), 119-127. MR 34 #5862. MR 0206037 (34:5862)
  • [4] O. Zariski, Foundations of a general theory of birational correspondences, Trans. Amer. Math. Soc. 53 (1943), 490-542. MR 5, 11. MR 0008468 (5:11b)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 13.10

Retrieve articles in all journals with MSC: 13.10

Additional Information

Keywords: Integral extensions, isolated primes, prime ideals, conductor
Article copyright: © Copyright 1970 American Mathematical Society

American Mathematical Society