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dc.contributor.advisorAy Saylam, Başak
dc.contributor.authorYeşil, Mehmet
dc.date.accessioned2014-11-18T08:01:12Z
dc.date.available2014-11-18T08:01:12Z
dc.date.issued2014
dc.identifier.urihttp://hdl.handle.net/11147/4176
dc.descriptionThesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2014en_US
dc.descriptionIncludes bibliographical references (leaves: 29)en_US
dc.descriptionText in English; Abstract: Turkish and Englishen_US
dc.descriptionvii, 29 leavesen_US
dc.description.abstractLet R be an integrally closed domain, and denote by I(R) the multiplicative group of all invertible fractional ideals of R. Let {Vi}i∈I be the family of valuation overrings of R, and denote by Gi the corresponding value group of the valuation domain Vi. We show that R = Ti∈I Vi, and there is a map from I(R) into Qi∈I Gi, the cardinal product of the Gi’s. Furthermore, it is well known when R is a Dedekind domain, this map becomes an isomorphism onto `i∈I Gi, the cardinal sum of the Gi’s. In this case, Gi ∼= Z for each i. It is shown, by J. Brewer and L. Klingler, that this map is also an isomorphism onto`i∈I Gi when R is an h-local Prüfer domain. In this thesis, we investigate the existence of such a map, and whether it is injective when R is a Krull domain.en_US
dc.language.isoengen_US
dc.publisherIzmir Institute of Technologyen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectKrull domainsen_US
dc.subjectApproximation theormsen_US
dc.subject.lcshCommutative ringsen_US
dc.titleApproximation theorems for Krull domainsen_US
dc.title.alternativeKrull tamlık bölgeleri için yaklaşım teoremlerien_US
dc.typemasterThesisen_US
dc.contributor.departmentIzmir Institute of Technology. Mathematicsen_US
dc.relation.publicationcategoryTezen_US


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