Krull-Schmidt properties over rings of finite character
by
Gürbüz, Ezgi, author.
Title
:
Krull-Schmidt properties over rings of finite character
Author
:
Gürbüz, Ezgi, author.
Personal Author
:
Gürbüz, Ezgi, author.
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.
Subject Term
:
Finite groups.
Rings (Algebra).
Krull rings.
Added Author
:
Ay Saylam, Başak
Added Corporate Author
:
İzmir Institute of Technology. Mathematics.
Added Uniform Title
:
Thesis (Master)--İzmir Institute of Technology: Mathematics.
İzmir Institute of Technology: Mathematics--Thesis (Master).
Electronic Access
:
Library | Material Type | Item Barcode | Shelf Number | Status |
---|
IYTE Library | Thesis | T001460 | QA251.3 .G78 2016 | Tez Koleksiyonu |
IYTE Library | Supplementary CD-ROM | ROM2576 | QA251.3 .G78 2016 EK.1 | Tez Koleksiyonu |