Strongly noncosingular modules
tarafından
Alagöz, Yusuf, author.
Başlık
:
Strongly noncosingular modules
Yazar
:
Alagöz, Yusuf, author.
Yazar Ek Girişi
:
Alagöz, Yusuf, author.
Fiziksel Tanımlama
:
vii, 39 leaves:+ 1 computer laser optical disc.
Özet
:
The main purpose of this thesis is to investigate the notion of strongly noncosingular modules. We call a right R-module M strongly noncosingular if for every nonzero right RmoduleN and every nonzero homomorphismf : M → N, Im(f) is not a cosingular (or Radsmall) submodule of N in the sense of Harada. It is proven that (1) A right R-module M is strongly noncosingular if and only ifM is coatomic and noncosingular; (2) a right perfect ring R is Artinian hereditary serial if and only if the class of injective right R-modules coincides with the class of (strongly) noncosingular right R-modules; (3) a right hereditary ring R is Max-ring if and only if absolutely coneat right R-modules are strongly noncosingular; (4) a commutative ring R is semisimple if and only if the class of injective R-modules coincides with the class of strongly noncosingular R-modules.
Konu Başlığı
:
Modules (Algebra)
Rings (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 |
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IYTE Library | Tez | T001259 | QA247.3 .A43 2014 | Tez Koleksiyonu |