The Least Proper Class Containing Weak Supplement
| dc.contributor.advisor | Alizade, Rafail | |
| dc.contributor.author | Durğun, Yılmaz | |
| dc.date.accessioned | 2014-07-22T13:50:43Z | |
| dc.date.available | 2014-07-22T13:50:43Z | |
| dc.date.issued | 2009 | |
| dc.description | Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2009 | en_US |
| dc.description | Includes bibliographical references (leaves: 61-62) | en_US |
| dc.description | Text in English: Abstract: Turkish and English | en_US |
| dc.description | x, 63 leaves | en_US |
| dc.description.abstract | The main purpose of this thesis is to investigate the least proper class containing the classWS of R-modules determined by weak supplement submodules over a ring R, in particular, over hereditary rings. A submodule A of a module B has(is) weak supplement if and only if there exist a submodule V in B such that A + V . B and the intersection of submodules of A and V is small in B. The classWS does not form a proper class, in general. By extending the class WS, we obtained the least proper class containing the class WS of R-modules over hereditary rings. We investigate the homological objects of the least proper class. We determine the structure of elements of the proper class by submodules. | en_US |
| dc.identifier.uri | https://hdl.handle.net/11147/3018 | |
| 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 .D59 2009 | en |
| dc.subject.lcsh | Modules (Algebra) | en |
| dc.title | The Least Proper Class Containing Weak Supplement | en_US |
| dc.type | Master Thesis | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Durğun, Yılmaz | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::thesis::master thesis | |
| gdc.description.department | Thesis (Master)--İzmir Institute of Technology, Mathematics | en_US |
| gdc.description.publicationcategory | Tez | en_US |
| gdc.description.scopusquality | N/A | |
| gdc.description.wosquality | N/A | |
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