Factoring Ideals in Prüfer Domains

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dc.creatorFontana, Marco
dc.creatorHouston, Evan
dc.creatorLucas, Tom
dc.date2006-11-21
dc.date.accessioned2026-07-07T07:33:12Z
dc.date.available2026-07-07T07:33:12Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0611661
dc.identifierhttp://arxiv.org/abs/math/0611661
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119375
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.titleFactoring Ideals in Prüfer Domains
dc.typetext

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