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Title: Generalization of cofinitely supplemented modules to lattices
Authors: Alizade, Rafail
Çetindil, Yasin
Çetindil, Yasin
Izmir Institute of Technology. Mathematics
Izmir Institute of Technology. Mathematics
Keywords: Supplemented modules
Cofinitely supplemented modules
Cofinitely supplemented lattices
Issue Date: 2005
Publisher: Izmir Institute of Technology
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
Appears in Collections:Master Degree / Yüksek Lisans Tezleri

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