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Proceedings of the American Mathematical Society

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Note on asymptotic prime divisors, analytic spreads and the altitude formula


Author: L. J. Ratliff
Journal: Proc. Amer. Math. Soc. 82 (1981), 1-6
MSC: Primary 13A17; Secondary 13E05
DOI: https://doi.org/10.1090/S0002-9939-1981-0603590-7
MathSciNet review: 603590
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Abstract: The main result gives several characterizations of Noetherian domains that satisfy the altitude formula in terms of analytic spreads and asymptotic prime divisors.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1981-0603590-7
Keywords: Altitude formula, analytic spread of ideal, associated prime, height unmixed ideal, integral closure of ideal, local domain, Noetherian ring, regular local ring, system of parameters
Article copyright: © Copyright 1981 American Mathematical Society

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