Strongly t-noncosingular modules için kapak resmi
Strongly t-noncosingular modules
Başlık:
Strongly t-noncosingular modules
Yazar:
Günyüz, Ozan.
Yazar Ek Girişi:
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:
Yazar Ek Girişi:
Tek Biçim Eser Adı:
Thesis (Master)--İzmir Institute of Technology:Mathematics.

İzmir Institute of Technology:Mathematics--Thesis (Master).
Elektronik Erişim:
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