Injective modules and their generalizations
tarafından
Demir, Özlem, author
Başlık
:
Injective modules and their generalizations
Yazar
:
Demir, Özlem, author
Yazar Ek Girişi
:
Demir, Özlem, author
Fiziksel Tanımlama
:
vii, 45 leaves:+ 1 computer laser optical disc.
Özet
:
The main goal of this thesis is to give a survey about some different generalizations of injective modules, namely, C1, C2, C3-conditions and the modules which satisfy the simple versions of these conditions. A right R-module M is called simple-directinjective if every simple submodule which is isomorphic to a direct summand of M is itself a summand, or if the direct sum of any two simple summands whose intersection is zero is a direct summand of M. Firstly, various basic properties and some characterizations of these modules are presented. The relation between simple-direct-injective modules and C3-modules is exhibited. Also, we obtain the structure of simple-direct-injective modules over the ring of integers and over semilocal rings. It is shown that over a commutative ring every nonsingular module is simple-direct-injective.
Konu Başlığı
:
Injective 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 |
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IYTE Library | Tez | T001804 | QA247.3 .D378 2018 | Tez Koleksiyonu |