Please use this identifier to cite or link to this item:
https://hdl.handle.net/11147/3792
Title: | Strongly t-noncosingular modules | Authors: | Büyükaşık, Engin Günyüz, Ozan |
Issue Date: | 2010 | Publisher: | Izmir Institute of Technology | Abstract: | This thesis is mainly concerned with the T-noncosingularity issue of a module. Derya Keskin Tutuncu and Rachid Tribak introduced the T-noncosingular modules and gave some properties of these modules. A moduleM is said to be T-noncosingular relative to N if, for every nonzero homomorphism f from M to N, the image of f is not small in N. Inspired by this study, we define a new kind of module, as a particular case of T-noncosingular modules, and call it strongly T-noncosingular modules. We define M to be strongly T-noncosingular relative to N if, for every nonzero homomorphism f from M to N, the image of f is not contained in the radical of N. Obviously, if a module is strongly T-noncosingular, then it is also T-noncosingular, but the converse is, in general, not true. In an attempt to identify the situation when a T-noncosingular module is strongly T-noncosingular, we give necessary and sufficient conditions in terms of the specific ring structures as well as well-known module types. | Description: | Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2010 Includes bibliographical references (leaves: 33-34) Text in English; Abstract: Turkish and English vii, 34 leaves |
URI: | http://hdl.handle.net/11147/3792 |
Appears in Collections: | Master Degree / Yüksek Lisans Tezleri |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
T000843.pdf | MasterThesis | 160.79 kB | Adobe PDF | ![]() View/Open |
CORE Recommender
Page view(s)
28
checked on Dec 11, 2023
Download(s)
4
checked on Dec 11, 2023
Google ScholarTM
Check
Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.