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dc.contributor.advisorAlizade, Rafailen
dc.contributor.authorÇetindil, Yasinen
dc.date.accessioned2014-07-22T13:51:17Z
dc.date.available2014-07-22T13:51:17Z
dc.date.issued2005
dc.identifier.urihttp://hdl.handle.net/11147/3306
dc.descriptionThesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2005en
dc.descriptionIncludes bibliographical references (leaves: 26)en
dc.descriptionText in English; Abstract: Turkish and Englishen
dc.descriptioniv, 26 leavesen
dc.description.abstractIn 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 modulesen
dc.language.isoengen
dc.publisherIzmir Institute of Technologyen
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSupplemented modulesen
dc.subjectCofinitely supplemented modulesen
dc.subjectCofinitely supplemented latticesen
dc.subject.lccQA247 .C42 2005en
dc.subject.lcshModules (Algebra)en
dc.subject.lcshLattice theoryen
dc.titleGeneralization of cofinitely supplemented modules to latticesen
dc.typemasterThesisen
dc.contributor.departmentIzmir Institute of Technology. Mathematicsen
dc.relation.publicationcategoryTezen_US


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