A note on asymptotic prime sequences

Katz, Daniel

doi:10.1090/S0002-9939-1983-0684629-1

A note on asymptotic prime sequences
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Proc. Amer. Math. Soc. 87 (1983), 415-418 Request permission

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.

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