On a topological characterization of prüfer v-multiplication domains among essential domains

On a topological characterization of prüfer v-multiplication domains among essential domains

In this paper we characterize the Pr\"ufer v-multiplication domain as a class of essential domains verifying an additional property on the closure of some families of prime ideals, with respect to the constructible topology.

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Veröffentlicht in:arXiv.org 2014-10
Hauptverfasser: Finocchiaro, C A, Tartarone, F
Format: Artikel
Sprache:eng
Schlagworte:
Domains
Multiplication
Topology
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Zusammenfassung:In this paper we characterize the Pr\"ufer v-multiplication domain as a class of essential domains verifying an additional property on the closure of some families of prime ideals, with respect to the constructible topology.
ISSN:2331-8422