Krull-Schmidt properties over rings of finite character
tarafından
Gürbüz, Ezgi, author.
Başlık
:
Krull-Schmidt properties over rings of finite character
Yazar
:
Gürbüz, Ezgi, author.
Yazar Ek Girişi
:
Gürbüz, Ezgi, author.
Fiziksel Tanımlama
:
vii, 46 leaves:+ 1 computer laser optical disc.
Özet
:
The main purpose of this thesis is to investigate the notion of Krull-Schmidt properties over rings of finite character. In accordance with this aim, we give a survey of necessary and sufficient conditions on an h-local domain for certain Krull-Schmidt properties hold for direct sums of ideals, direct sums of indecomposable submodules of finitely generated free modules and direct sums of rank one torsion-free modules. By using obtained characterizations, some useful results for Krull-Schmidt properties of modules over Noetherian and Prüfer domains are proven. Besides, the characterizations of Noetherian UDI domains are given.
Konu Başlığı
:
Finite groups.
Rings (Algebra).
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 | T001460 | QA251.3 .G78 2016 | Tez Koleksiyonu |