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A note on asymptotic prime sequences

Katz, Daniel L.
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Abstract
The lengths of all maximal asymptotic prime sequences over an ideal in a local ring are shown to be the same. This number can be calculated in terms of analytic spread and depths of minimal primes in the completion.
Description
This is the published version, also available here:http://dx.doi.org/10.1090/S0002-9939-1983-0684629-1. First published in Proc. Amer. Math. Soc. in 1983, published by the American Mathematical Society.
Date
1983-03-01
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American Mathematical Society
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Keywords
Analytic spread, integral closure of an ideal, associated primes
Citation
Katz, Daniel L. "A note on asymptotic prime sequences." Proc. Amer. Math. Soc. 87 (1983), 415-418. http://dx.doi.org/10.1090/S0002-9939-1983-0684629-1.
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