The homology of modules and modules generated by at most two elements
The homology of modules and modules generated by at most two elements
dc.contributor.advisor | Erdoğdu, Vahap | |
dc.contributor.author | Güler, Sinem | |
dc.contributor.authorID | 509091084 | tr_TR |
dc.contributor.department | Mathematics Engineering | en_US |
dc.contributor.department | Matematik Mühendisliği | tr_TR |
dc.date.accessioned | 2020-10-20T10:28:50Z | |
dc.date.available | 2020-10-20T10:28:50Z | |
dc.date.issued | 2012-01-25 | |
dc.description.abstract | The main concern of this thesis is to investigate conditions under which a module is finitely generated, and in particular under what conditions a module is generated by at most two elements. We give equivalent conditions for a module to be a direct sum of two non-isomorphic simple submodules. Using one of these conditions and the tools of homological algebra, we show that certain derived modules are trivial. The information needed for these results are collected in the fallowing chapters. That are needed in the proof of one of our new results that a Noetherian local ring possesses a non-zero finitely generated divisible module if and only if it is Artinian which is in contrast to the fact that over an integral domain R, the only finitely generated divisible module is the zero module. | en_US |
dc.description.degree | M.Sc. | en_US |
dc.description.degree | Yüksek Lisans | tr_TR |
dc.identifier.uri | http://hdl.handle.net/11527/18741 | |
dc.language.iso | eng | en_US |
dc.publisher | Fen Bilimleri Enstitüsü | tr_TR |
dc.publisher | Institute of Science and Technology | en_US |
dc.rights | All works uploaded to the institutional repository are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. | en_US |
dc.rights | Kurumsal arşive yüklenen tüm eserler telif hakkı ile korunmaktadır. Bunlar, bu kaynak üzerinden herhangi bir amaçla görüntülenebilir, ancak yazılı izin alınmadan herhangi bir biçimde yeniden oluşturulması veya dağıtılması yasaklanmıştır. | tr_TR |
dc.subject | Algebra ,Homology ,Homological algebra | en_US |
dc.subject | Cebir , Homoloji , Homolojik cebir | tr_TR |
dc.title | The homology of modules and modules generated by at most two elements | en_US |
dc.title.alternative | Modüllerin homolojisi ve en çok iki eleman tarafından üretilen modüller | tr_TR |
dc.type | Master Thesis | en_US |