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Some Open Questions on Minimal Primes of a Krull Domain

Published online by Cambridge University Press:  20 November 2018

Paul M. Eakin Jr.  and
William J. Heinzer
Paul M. Eakin Jr.
Affiliation:
Louisiana State University, Baton Rouge, Louisiana
William J. Heinzer
Affiliation:
Louisiana State University, Baton Rouge, Louisiana
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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).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968 , pp. 1261 - 1264
Copyright
Copyright © Canadian Mathematical Society 1968

References

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