Approximation theorems for Krull domains
tarafından
Yeşil, Mehmet, author.
Başlık
:
Approximation theorems for Krull domains
Yazar
:
Yeşil, Mehmet, author.
Yazar Ek Girişi
:
Yeşil, Mehmet, author.
Fiziksel Tanımlama
:
vii, 29 leaves:+ 1 computer laser optical disc.
Özet
:
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 Pr¨ufer domain. In this thesis, we investigate the existence of such a map, and whether it is injective when R is a Krull domain.
Konu Başlığı
:
Krull rings.
Yazar Ek Girişi
:
Ay Saylam, Başak
Tüzel Kişi Ek Girişi
:
İzmir Institute of Technology. Mathematics.
Tek Biçim Eser Adı
:
Thesis (Master)--İzmir Institute of Technology: Mathematics.
İzmir Institute of Technology: Mathematics--Thesis (Master).
Elektronik Erişim
:
Library | Materyal Türü | Demirbaş Numarası | Yer Numarası | Durumu/İade Tarihi |
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IYTE Library | Tez | T001242 | QA251.3 .Y47 2014 | Tez Koleksiyonu |