Title of article
Factoring ideals in Prüfer domains
Author/Authors
Marco Fontana، نويسنده , , Evan Houston، نويسنده , , Thomas Lucas، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
13
From page
1
To page
13
Abstract
We show that in certain Prüfer domains, each nonzero ideal I can be factored as image, where Iv is the divisorial closure of I and image is a product of maximal ideals. This is always possible when the Prüfer domain is h-local, and in this case such factorizations have certain uniqueness properties. This leads to new characterizations of the h-local property in Prüfer domains. We also explore consequences of these factorizations and give illustrative examples.
Journal title
Journal of Pure and Applied Algebra
Serial Year
2007
Journal title
Journal of Pure and Applied Algebra
Record number
818782
Link To Document