Please use this identifier to cite or link to this item:
https://hdl.handle.net/11147/3306
Title: | Generalization of Cofinitely Supplemented Modules To Lattices |
Authors: | Çetindil, Yasin |
Advisors: | Alizade, Rafail |
Keywords: | Supplemented modules Cofinitely supplemented modules Cofinitely supplemented lattices |
Publisher: | Izmir Institute of Technology |
Abstract: | 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 |
Description: | Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2005 Includes bibliographical references (leaves: 26) Text in English; Abstract: Turkish and English iv, 26 leaves |
URI: | http://hdl.handle.net/11147/3306 |
Appears in Collections: | Master Degree / Yüksek Lisans Tezleri |
Files in This Item:
File | Description | Size | Format | |
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T000402.pdf | MasterThesis | 150.46 kB | Adobe PDF | ![]() View/Open |
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