Some Open Questions on Minimal Primes of a Krull Domain

Author:

Eakin Paul M.,Heinzer William J.

Abstract

Let A be an integral domain and K its quotient field. A is called a Krull domain if there is a set {Vα} of rank one discrete valuation rings such that A = ∩αVα and such that each non-zero element of A is a non-unit in only finitely many of the Vα. The structure of these rings was first investigated by Krull, who called them endliche discrete Hauptordungen (4 or 5, p. 104).

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Nonfiniteness in finite class group;Communications in Algebra;1997-01

2. Bibliography;North-Holland Mathematical Library;1982

3. When $(D \lbrack\lbrack X \rbrack\rbrack)_{P \lbrack\lbrack X \rbrack\rbrack$ is a Valuation Ring;Proceedings of the American Mathematical Society;1973-02

4. Bibliography;Pure and Applied Mathematics;1971

5. Non finiteness in finite dimensional Krull domains;Journal of Algebra;1970-03

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