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

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