Krull-Schmidt properties over rings of finite character
Title:
Krull-Schmidt properties over rings of finite character
Author:
Gürbüz, Ezgi, author.
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Physical Description:
vii, 46 leaves:+ 1 computer laser optical disc.
Abstract:
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.
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Thesis (Master)--İzmir Institute of Technology: Mathematics.
İzmir Institute of Technology: Mathematics--Thesis (Master).
Electronic Access:
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