Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/4176
Title: Approximation theorems for Krull domains
Other Titles: Krull tamlık bölgeleri için yaklaşım teoremleri
Authors: Ay Saylam, Başak
Yeşil, Mehmet
Keywords: Krull domains
Approximation theorms
Issue Date: 2014
Publisher: Izmir Institute of Technology
Abstract: Let 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.
Description: Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2014
Includes bibliographical references (leaves: 29)
Text in English; Abstract: Turkish and English
vii, 29 leaves
URI: http://hdl.handle.net/11147/4176
Appears in Collections:Master Degree / Yüksek Lisans Tezleri

Files in This Item:
File Description SizeFormat 
10035456.pdfMasterThesis195.5 kBAdobe PDFThumbnail
View/Open
Show full item record

CORE Recommender

Page view(s)

38
checked on Oct 3, 2022

Download(s)

10
checked on Oct 3, 2022

Google ScholarTM

Check


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.