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https://hdl.handle.net/11147/3792
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DC Field | Value | Language |
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dc.contributor.advisor | Büyükaşık, Engin | - |
dc.contributor.author | Günyüz, Ozan | - |
dc.date.accessioned | 2014-07-22T13:52:22Z | - |
dc.date.available | 2014-07-22T13:52:22Z | - |
dc.date.issued | 2010 | - |
dc.identifier.uri | http://hdl.handle.net/11147/3792 | - |
dc.description | Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2010 | en_US |
dc.description | Includes bibliographical references (leaves: 33-34) | en_US |
dc.description | Text in English; Abstract: Turkish and English | en_US |
dc.description | vii, 34 leaves | en_US |
dc.description.abstract | This 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_US |
dc.language.iso | en | en_US |
dc.publisher | Izmir Institute of Technology | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject.lcsh | Modules (Algebra) | en |
dc.title | Strongly T-Noncosingular Modules | en_US |
dc.type | Master Thesis | en_US |
dc.institutionauthor | Günyüz, Ozan | - |
dc.department | Thesis (Master)--İzmir Institute of Technology, Mathematics | en_US |
dc.relation.publicationcategory | Tez | en_US |
dc.identifier.wosquality | N/A | - |
dc.identifier.scopusquality | N/A | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.languageiso639-1 | en | - |
item.openairetype | Master Thesis | - |
item.grantfulltext | open | - |
item.fulltext | With Fulltext | - |
item.cerifentitytype | Publications | - |
Appears in Collections: | Master Degree / Yüksek Lisans Tezleri |
Files in This Item:
File | Description | Size | Format | |
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T000843.pdf | MasterThesis | 160.79 kB | Adobe PDF | ![]() View/Open |
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