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dc.contributor.advisorBüyükaşık, Enginen
dc.contributor.authorGünyüz, Ozan-
dc.descriptionThesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2010en
dc.descriptionIncludes bibliographical references (leaves: 33-34)en
dc.descriptionText in English; Abstract: Turkish and Englishen
dc.descriptionvii, 34 leavesen
dc.description.abstractThis thesis is mainly concerned with the T-noncosingularity issue of a module. Derya Keskin Tutuncu and Rachid Tribak introduced the T-noncosingular modules and gave some properties of these modules. A moduleM is said to be T-noncosingular relative to N if, for every nonzero homomorphism f from M to N, the image of f is not small in N. Inspired by this study, we define a new kind of module, as a particular case of T-noncosingular modules, and call it strongly T-noncosingular modules. We define M to be strongly T-noncosingular relative to N if, for every nonzero homomorphism f from M to N, the image of f is not contained in the radical of N. Obviously, if a module is strongly T-noncosingular, then it is also T-noncosingular, but the converse is, in general, not true. In an attempt to identify the situation when a T-noncosingular module is strongly T-noncosingular, we give necessary and sufficient conditions in terms of the specific ring structures as well as well-known module types.en
dc.publisherIzmir Institute of Technologyen
dc.subject.lcshModules (Algebra)en
dc.titleStrongly t-noncosingular modulesen_US
dc.typeMaster Thesisen_US
dc.institutionauthorGünyüz, Ozan-
dc.departmentThesis (Master)--İzmir Institute of Technology, Mathematicsen_US
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item.openairetypeMaster Thesis-
Appears in Collections:Master Degree / Yüksek Lisans Tezleri
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