On the structure of modules characterized by opposites of injectivity
tarafından
Altınay, Ferhat, author
Başlık
:
On the structure of modules characterized by opposites of injectivity
Yazar
:
Altınay, Ferhat, author
Yazar Ek Girişi
:
Altınay, Ferhat, author
Fiziksel Tanımlama
:
viii, 49 leaves:+ 1 computer laser optical disc.
Özet
:
In this thesis we consider some problems and also generalize some results related to indigent modules and subinjectivity domains. We prove that subinjectivity domain of any right module is closed under factor modules if and only if the ring is right hereditary. Indigent modules are the modules whose subinjectivity domain is as small as possible, namely the modules whose subinjectivity domain is exactly the class of injective modules. We give a complete characterization of indigent modules over commutative hereditary Noetherian rings. The commutative rings whose simple modules are injective or indigent are fully determined. The rings whose cyclic right modules are indigent are shown to be semisimple Artinian. We also give a characterization of t.i.b.s. modules over Dedekind domains.
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 |
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IYTE Library | Tez | T001771 | QA247 .A468 2018 | Tez Koleksiyonu |