Toward a classification of prime ideals in Prüfer domains

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dc.creatorFontana, Marco
dc.creatorHouston, Evan
dc.creatorLucas, Thomas G.
dc.date2008-10-14
dc.date.accessioned2026-07-07T10:09:54Z
dc.date.available2026-07-07T10:09:54Z
dc.descriptionThe primary purpose of this paper is give a classification scheme for the nonzero primes of a Prüfer domain based on five properties. A prime $P$ of a Prüfer domain $R$ could be sharp or not sharp, antesharp or not, divisorial or not, branched or unbranched, idempotent or not. Based on these five basic properties, there are six types of maximal ideals and twelve types of nonmaximal (nonzero) primes. Both characterizations and examples are given for each type that exists.
dc.identifierhttps://arxiv.org/abs/0810.2402
dc.identifierhttp://arxiv.org/abs/0810.2402
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171469
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13F05, 13A15
dc.titleToward a classification of prime ideals in Prüfer domains
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