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https://hdl.handle.net/11147/3956
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DC Field | Value | Language |
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dc.contributor.advisor | Alizade, Rafail | - |
dc.contributor.author | Demirci, Yılmaz Mehmet | - |
dc.date.accessioned | 2014-07-22T13:52:49Z | - |
dc.date.available | 2014-07-22T13:52:49Z | - |
dc.date.issued | 2008 | - |
dc.identifier.uri | http://hdl.handle.net/11147/3956 | - |
dc.description | Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2008 | en_US |
dc.description | Includes bibliographical references (leaves: 37-38) | en_US |
dc.description | Text in English: Abstract: Turkish and English | en_US |
dc.description | ix, 40 leaves | en_US |
dc.description.abstract | In this thesis, we study the class S of all short exact sequences 0 A B C 0 where Im& has a supplement in B, i.e. a minimal elemenr in the set {V B V + Im& . B}.The corresponding elements of ExtR(C;A) are called k-elements. In general k-elements need not form a subgroup in ExtR(C;A), but in the category TR of torsion R-modules over a Dedekind domain R, S is a proper class; there are no nonzero S-projective modules and the only S-injective modules are injective R-modules in TR. In this thesis we also give the structure of S-coinjective R-modules in TR. Moreover, we define the class SB of all short exact sequences 0 A B C 0 where Im & has a supplement V in B and V in B and In & is bounded. The corresponding elements of ExtR(C;A) are called B-elements. Over a noetherian integral domain of Krull dimension 1, B-elements form a proper class. In the category TR over a Dedekind domain R, SB is a proper class; there are no nonzero SB-projective R-modules and SB-injective R-modules are only the injective R-modules. In the category TR, reduced SB-coinjective R-modules are bounded R-modules. | 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.lcc | QA247. D378 2008 | en |
dc.subject.lcsh | Modules (Algebra) | en |
dc.title | Proper Class Generated by Submodules That Have Supplements | en_US |
dc.type | Master Thesis | en_US |
dc.institutionauthor | Demirci, Yılmaz Mehmet | - |
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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T000747.pdf | MasterThesis | 283.27 kB | Adobe PDF | ![]() View/Open |
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