Semigroups of valuations dominating local domains

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dc.creatorCutkosky, Steven Dale
dc.date2008-01-02
dc.date.accessioned2026-07-07T08:52:15Z
dc.date.available2026-07-07T08:52:15Z
dc.descriptionA new criterion is given for a semigroup to be the semigroup of a valuation dominating an equicharacteristic local domain. The criterion is used to construct examples of well ordered subsemigroups of the positive rational numbers which are of ordinal type omega, but are not the value semigroup of a valuation on an equicharacteristic noetherian local domain. This shows that the necessary conditions on value semigroups given in Appendix 3 to Zariski and Samuel's book ``Commutative Algebra'' are not sufficient.
dc.identifierhttps://arxiv.org/abs/0801.0449
dc.identifierhttp://arxiv.org/abs/0801.0449
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145218
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13H99, 13A18
dc.titleSemigroups of valuations dominating local domains
dc.typetext

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