Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the distribution of prime elements in polynomial Krull domains


Authors: D. Costa, L. Gallardo and J. Querré
Journal: Proc. Amer. Math. Soc. 87 (1983), 41-43
MSC: Primary 13F15; Secondary 13A17, 13F05
MathSciNet review: 677227
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ A$ be a Krull domain having infinitely many height one primes. It is shown that any ideal of height two in the polynomial ring $ A[t]$ contains a prime element. An application to the construction of Dedekind domains with specified class groups is given, along with an example to show the necessity of assuming infinitely many height one primes.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 13F15, 13A17, 13F05

Retrieve articles in all journals with MSC: 13F15, 13A17, 13F05


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1983-0677227-7
PII: S 0002-9939(1983)0677227-7
Article copyright: © Copyright 1983 American Mathematical Society