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Proceedings of the American Mathematical Society

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

 

 

Two applications of asymptotic prime divisors


Author: Stephen McAdam
Journal: Proc. Amer. Math. Soc. 84 (1982), 179-180
MSC: Primary 13B20; Secondary 13H10
MathSciNet review: 637164
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Abstract: Some recent interest has focused on the set of prime divisors of large powers of an ideal in a Noetherian ring. This note presents two results whose proofs appear to depend on knowledge of such asymptotic prime divisors.


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DOI: https://doi.org/10.1090/S0002-9939-1982-0637164-X
Keywords: Noetherian domain, prime divisor, asymptotic prime divisor, integral extension
Article copyright: © Copyright 1982 American Mathematical Society