Abstract:
In this paper we show that each divisor class of a finitely generated k-algebra R (k a field) contains a prime divisor if k is Hilbertian or if dim R≥ 2. On the way we also obtain partial results for domains finitely generated over an one-dimensional noetherian domain.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: 27 June 1998
Rights and permissions
About this article
Cite this article
Kainrath, F. The distribution of prime divisors in finitely generated domains. manuscripta math. 100, 203–212 (1999). https://doi.org/10.1007/s002290050236
Issue Date:
DOI: https://doi.org/10.1007/s002290050236