The distribution of prime divisors in Krull monoid domains

摘要

In this paper, we show that any nonzero divisor class of a Krull domain D[S] contains a height-one prime ideal of D[S], where either D is a UFD or S is a group. (C) 2001 Elsevier Science B.V. All rights reserved. MSC: 13A02; 13A15; 13C20; 13G05. [References: 17]