Factoring Ideals in Prüfer Domains

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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 consequences of these factorizations and give illustrative examples.

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Commutative Algebra, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/119375

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611661
 http://arxiv.org/abs/math/0611661

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arXiv