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https://hdl.handle.net/11147/3018
Title: | The least proper class containing weak supplement | Authors: | Alizade, Rafail Durğun, Yılmaz |
Issue Date: | 2009 | Publisher: | Izmir Institute of Technology | Abstract: | The main purpose of this thesis is to investigate the least proper class containing the classWS of R-modules determined by weak supplement submodules over a ring R, in particular, over hereditary rings. A submodule A of a module B has(is) weak supplement if and only if there exist a submodule V in B such that A + V . B and the intersection of submodules of A and V is small in B. The classWS does not form a proper class, in general. By extending the class WS, we obtained the least proper class containing the class WS of R-modules over hereditary rings. We investigate the homological objects of the least proper class. We determine the structure of elements of the proper class by submodules. | Description: | Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2009 Includes bibliographical references (leaves: 61-62) Text in English: Abstract: Turkish and English x, 63 leaves |
URI: | http://hdl.handle.net/11147/3018 |
Appears in Collections: | Master Degree / Yüksek Lisans Tezleri |
Files in This Item:
File | Description | Size | Format | |
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T000234.pdf | MasterThesis | 416.32 kB | Adobe PDF | ![]() View/Open |
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