Minimal primes of ideals and integral ring extensions-Reference-Cited by-同舟云学术

Minimal primes of ideals and integral ring extensions

Published:1973 Issue:2 Volume:40 Page:370-372
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Heinzer William

Abstract

It is shown that if R R is a commutative ring with identity having the property that ideals in R R have only a finite number of minimal primes, then a finite R R -algebra again has this property. It is also shown that an almost finite integral extension of a noetherian integral domain has noetherian prime spectrum.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1973-040-02/S0002-9939-1973-0319962-X/S0002-9939-1973-0319962-X.pdf

Reference3 articles.

1. A note on rings with noetherian spectrum;Heinzer, William;Duke Math. J.,1970

2. Interscience Tracts in Pure and Applied Mathematics, No. 13;Nagata, Masayoshi,1962

3. Rings with noetherian spectrum;Ohm, Jack;Duke Math. J.,1968

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