Factoring ideals in Prüfer domains
نویسندگان
چکیده
منابع مشابه
. A C ] 2 1 N ov 2 00 6 FACTORING IDEALS IN PRÜFER DOMAINS
We show that in certain Prüfer domains, each nonzero ideal I can be factored as I = I v Π, where I v is the divisorial closure of I and Π 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 ...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2007
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2006.12.011