Toward a classification of prime ideals in Pr\'ufer domains

Autor:	Fontana, Marco, Houston, Evan, Lucas, Thomas G.
Rok vydání:	2008
Předmět:	Mathematics - Commutative Algebra Mathematics - Algebraic Geometry 13F05 13A15
Druh dokumentu:	Working Paper
Popis:	The primary purpose of this paper is give a classification scheme for the nonzero primes of a Pr\"ufer domain based on five properties. A prime $P$ of a Pr\"ufer 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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0810.2402 Zobrazit plný text záznamu View this record from Arxiv