Generalization of cofinitely supplemented modules to lattıces
tarafından
Çetindil, Yasin.
Başlık
:
Generalization of cofinitely supplemented modules to lattıces
Yazar
:
Çetindil, Yasin.
Yazar Ek Girişi
:
Çetindil, Yasin.
Yayın Bilgileri
:
[s.l.]: [s.n.], 2005
Fiziksel Tanımlama
:
iv,26 leaves.: ill.;+ 1 computer laser optical disc.
Genel Not
:
Keywords: Supplemented modules, cofinitely supplemented modules, cofinitely supplemented lattices, generalization of supplemented modules, generalization of cofinitely supplemented modules.
Özet
:
In this thesis we study how to extend the notion of co¯nitely supplemented module to lattice theory. A submodule N of a module M is called co¯nite if the factor module M/N is ¯nitely generated and we say that M is a co¯nitely supplemented module if every co¯nite submodule of M has a supplement. We analogously de¯ne the notions of co¯nite element and co¯nitely supplemented lattice for lattices. Inspired by the similarities between the properties of modules and modular lattices, we obtain results for co¯nitely supplemented modular lattices, analogous to results for co¯nitely supplemented modules
Konu Başlığı
:
Modules (Algebra)
Lattice theory
Yazar Ek Girişi
:
Alizade, Rafail.
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 | T000402 | QA247.C42 2005 | Tez Koleksiyonu |