Strongly t-noncosingular modules
tarafından
Günyüz, Ozan.
Başlık
:
Strongly t-noncosingular modules
Yazar
:
Günyüz, Ozan.
Yazar Ek Girişi
:
Günyüz, Ozan.
Yayın Bilgileri
:
[s.l.]: [s.n.], 2010.
Fiziksel Tanımlama
:
vii, 34 leaves.: ill. + 1 computer laser optical disc.
Özet
:
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.
Konu Başlığı
:
Modules(Algebra)
Yazar Ek Girişi
:
Büyükaşık, Engin.
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 |
---|
IYTE Library | Tez | T000843 | QA247 .G97 2010 | Tez Koleksiyonu |