Sporadic and irrelevant prime divisors

Authors:
Stephen McAdam and L. J. Ratliff

Journal:
Trans. Amer. Math. Soc. **303** (1987), 311-324

MSC:
Primary 13E05; Secondary 13A15

MathSciNet review:
896024

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Abstract | References | Similar Articles | Additional Information

Abstract: Let represent a regular ideal in a Noetherian ring . If is a finite set of prime ideals in , some conditions on are given assuring that an can be found such that is exactly the set of primes which are in but not in for all large . Furthermore, if is fixed, and if is a prime ideal containing , some conditions are given assuring that in the Rees ring is a prime divisor of .

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1987-0896024-9

Keywords:
Analytic spread,
form ring,
integral closure of an ideal,
local ring,
Noetherian ring,
prime divisor,
projectively equivalent ideals,
reduction of an ideal,
Rees ring,
superficial element

Article copyright:
© Copyright 1987
American Mathematical Society