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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Integral closures of Noetherian integral domains as intersections


Author: Frederick W. Call
Journal: Proc. Amer. Math. Soc. 123 (1995), 1049-1052
MSC: Primary 13B22; Secondary 13G05
MathSciNet review: 1227514
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Abstract: Three equivalent formulations of the property that the integral closure $ \overline A $ of a noetherian domain A can be written as $ \cap {\bar A_p}$ at all height-one primes p, are given in terms of PDE, $ {A^{(1)}}$, and bad minimal primes in completions. Examples with these properties include excellent domains and domains with a canonical module. Writing $ \overline A $ as an intersection of DVR's is also addressed.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1227514-7
PII: S 0002-9939(1995)1227514-7
Article copyright: © Copyright 1995 American Mathematical Society