Integral Domains whose Simple Overrings are Intersections of Localizations

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dc.creatorFontana, Marco
dc.creatorHouston, Evan
dc.creatorLucas, Thomas
dc.date2004-06-15
dc.date.accessioned2026-07-07T05:09:14Z
dc.date.available2026-07-07T05:09:14Z
dc.descriptionCall a domain $R$ an sQQR-domain if each simple overring of $R$, i.e., each ring of the form $R[u]$ with $u$ in the quotient field of $R$, is an intersection of localizations of $R$. We characterize Prüfer domains as integrally closed sQQR-domains. In the presence of certain finiteness conditions, we show that the sQQR-property is very strong; for instance, a Mori sQQR-domain must be a Dedekind domain. We also show how to construct sQQR-domains which have (non-simple) overrings which are not intersections of localizations.
dc.identifierhttps://arxiv.org/abs/math/0406295
dc.identifierhttp://arxiv.org/abs/math/0406295
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71558
dc.subjectCommutative Algebra
dc.subject13A15, 13F05
dc.titleIntegral Domains whose Simple Overrings are Intersections of Localizations
dc.typetext

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