Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598274 | Journal of Pure and Applied Algebra | 2007 | 13 Pages |
Abstract
We show that in certain Prüfer domains, each nonzero ideal II can be factored as I=IvΠ, where IvIv is the divisorial closure of II and Π is a product of maximal ideals. This is always possible when the Prüfer domain is hh-local, and in this case such factorizations have certain uniqueness properties. This leads to new characterizations of the hh-local property in Prüfer domains. We also explore consequences of these factorizations and give illustrative examples.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Marco Fontana, Evan Houston, Thomas Lucas,