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Integral closures of uncountable commutative regular rings


Author: L. Lipshitz
Journal: Proc. Amer. Math. Soc. 56 (1976), 19-23
MSC: Primary 13B20; Secondary 02H15
DOI: https://doi.org/10.1090/S0002-9939-1976-0485825-5
MathSciNet review: 0485825
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Abstract | References | Similar Articles | Additional Information

Abstract: Necessary and sufficient conditions are given for a commutative regular ring to have a prime integrally closed extension.


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

  • [1] L. Lipshitz, Commutative regular rings with integral closure, Trans. Amer. Math. Soc. 211 (1975), 161-170. MR 0396254 (53:122)
  • [2] -, The real closure of a commutative regular $ f$-ring Fund. Math. (to appear).

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0485825-5
Keywords: Commutative regular rings, integrally closed rings, prime model extensions
Article copyright: © Copyright 1976 American Mathematical Society

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