Pacific Journal of Mathematics

Asymptotic prime divisors and going down.

Stephen McAdam
Source: Pacific J. Math. Volume 91, Number 1 (1980), 179-186.
First Page: Show Hide
Primary Subjects: 13E05
Secondary Subjects: 13A17, 13B20
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102778864
Zentralblatt MATH identifier: 0453.13001
Zentralblatt MATH identifier: 0422.13004
Mathematical Reviews number (MathSciNet): MR612897

References

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Zentralblatt MATH: 0382.13011
[4] H. B. Laufer, On generalizedWeierstrasspoints and rings with no radicalprincipal prime ideals, (manuscript).
[5] S. McAdam, Going down, Duke J. Math., 39 (1972), 633-636.
Mathematical Reviews (MathSciNet): MR47:220
Zentralblatt MATH: 0252.13001
[6] S. McAdam, 1-going down, J. London Math. Soc, 2 (1974), 674-680.
Mathematical Reviews (MathSciNet): MR50:4559
Zentralblatt MATH: 0288.13003
[7] S. McAdam,Asymptotic prime divisors and analytic spreads, P.A.M.S., (to appear).
Zentralblatt MATH: 0445.13002
[8] S. McAdam and E. Davis, Prime divisors and saturated chains, Indiana Univ. Math. J., 26 (1977), 653-662.
Mathematical Reviews (MathSciNet): MR56:2983
Zentralblatt MATH: 0371.13014
[9] S. McAdam and P. Eakin, The asymptotic ass., J. Algebra, 61 (1979), 71-81.
Mathematical Reviews (MathSciNet): MR81f:13001
[10] M. Nagata, Local Rings, Intersciences, New York, 1962.
Mathematical Reviews (MathSciNet): MR27:5790
[11] L. J. Ratliff, Jr., On quasi-unmixed local domains, the altitude formula, and the chain condition for prime ideals (/), Amer. J. Math., X (1969), 502-528.
Mathematical Reviews (MathSciNet): MR40:136
[12] L. J. Ratliff, On prime divisors of In, n large, Michigan Math. J., 23 (1976), 337-352. 13.1Two theorems on the prime divisors of zero in completions of local domains, Pacific J. Math., (to appear). 14.1Notes on integrally closed ideals and asymptotic prime divisors, (manu- script).
Mathematical Reviews (MathSciNet): MR56:15626
Zentralblatt MATH: 0332.13001
[15] J. Sally, A note on integral closure, (manuscript).
Zentralblatt MATH: 0255.13007

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