Generalization of cofinitely supplemented modules to lattıces
Title:
Generalization of cofinitely supplemented modules to lattıces
Author:
Çetindil, Yasin.
Personal Author:
Publication Information:
[s.l.]: [s.n.], 2005
Physical Description:
iv,26 leaves.: ill.;+ 1 computer laser optical disc.
General Note:
Keywords: Supplemented modules, cofinitely supplemented modules, cofinitely supplemented lattices, generalization of supplemented modules, generalization of cofinitely supplemented modules.
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
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Thesis (Master)--İzmir Institute of Technology:Mathematics.
İzmir Institute of Technology:Mathematics--Thesis (Master).
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Access to Electronic Version.