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 :
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