Başlık:

Operations on proper classes related to supplements

Yazar:

Demirci, Yılmaz Mehmet.

Yazar Ek Girişi:

Yayın Bilgileri:

[s.l.]: [s.n.], 2012.

Fiziksel Tanımlama:

ix, 57 leaves.: ill. + 1 computer laser optical disc.

Genel Not:

03.12.2015 tarihine kadar tam metin erişimi yazar tarafından kısıtlanmıştır.

Özet:

The purpose of this study is to understand the properties of the operations +, ◦, and * defined on classes of short exact sequences and apply them to the proper classes related to supplements. The operation ◦ on classes of short exact sequences is introduced and it is proved that the class of extended weak supplements is the result of the operation ◦ applied to two classes one of which is the class of splitting short exact sequences. Using the direct sum of proper classes defined by R. Alizade, G. Bilhan and A. Pancar, a direct sum decomposition for quasi-splitting short exact sequences over the ring of integers is obtained. Closures of classes of short exact sequences along with the one studied by C. P. Walker, N. Hart and R. Alizade are defined over an integral domain. It is shown that these classes are proper when the underlying class is proper and they are related to the operation +. The closures of proper classes related to supplements are described in terms of Ivanov classes. Closures for modules over an integral domain are also defined and it is proved that submodules of torsion-free modules have unique closures. A closure for classes of short exact sequences is defined over an associative ring with identity and it is proved that this closure is proper when the underlying class is proper. Results shows that the operation + and closures of splitting short exact sequences plays an important role on the closures of proper classes.

Yazar Ek Girişi:

Tüzel Kişi Ek Girişi:

Tek Biçim Eser Adı:

Thesis (Doctoral)--İzmir Institute of Technology:Mathematics.

İzmir Institute of Technology:Mathematics--Thesis (Doctoral).

Elektronik Erişim:

Access to Electronic Versiyon.Copies:

### Rafta:*

Kütüphane | Materyal Türü | Demirbaş Numarası | Yer Numarası | Durumu/İade Tarihi |
---|---|---|---|---|

Arıyor... | Tez | T001093 | QA247 .D37 2012 | Arıyor... |