Alizade, RafailÇetindil, Yasin2023-11-132023-11-132005http://standard-demo.gcris.com/handle/123456789/3987Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2005Includes bibliographical references (leaves: 26)Text in English; Abstract: Turkish and Englishiv, 26 leavesIn 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 moduleseninfo:eu-repo/semantics/openAccessSupplemented modulesCofinitely supplemented modulesCofinitely supplemented latticesQA247 .C42 2005Modules (Algebra)Lattice theoryMaster Thesis