Almost Local-Global Rings

dc.contributor.advisor Ay Saylam, Başak
dc.contributor.author Susuzlu, İdem
dc.date.accessioned 2017-12-08T07:52:26Z
dc.date.available 2017-12-08T07:52:26Z
dc.date.issued 2017
dc.description Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2017 en_US
dc.description Includes bibliographical references (leaves: 43-44) en_US
dc.description Text in English; Abstract: Turkish and English en_US
dc.description.abstract The main purpose of this thesis is to investigate the Invariant Factor Theorem for Prüfer domains. In accordance with this aim, we give a survey of necessary and su cient conditions on a Prüfer domain to satisfy the Invariant Factor Theorem. In this process, almost local-global rings have important role since they satisfy the USC-property. Regarding to the UCS-property, BCS-rings together with their properties are also investigeted. en_US
dc.description.abstract Bu tezde Prüfer tamlık bölgeleri üzerinde Invariant Factor Teoremi incelenmiştir. Bu amaç doğrultusunda, Prüfer tamlık bölgesi üzerine bu teoremi sağlayabilmesi için gerekli ve yeterli koşullar verilmiştir. Bu süreçte, neredeyse yerel-bütünsel halkalar UCS özelliğine sahip oldukları için büyük önem taşımaktadırlar. UCS özelliğiyle bağlantılı olarak BCS halkaları ve özellikleri de incelenmiştir. en_US
dc.description.sponsorship TUBITAK (MFAG/113F235) en_US
dc.format.extent vii, 44 leaves
dc.identifier.citation Susuzlu, İ. (2017). Almost local-global rings. Unpublished master's thesis, İzmir Institute of Technology, İzmir, Turkey en_US
dc.identifier.uri https://hdl.handle.net/11147/6553
dc.language.iso en en_US
dc.publisher Izmir Institute of Technology en_US
dc.relation info:eu-repo/grantAgreement/TUBITAK/MFAG/113F235 en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Rings (Algebra) en_US
dc.subject Prüfer domains en_US
dc.subject GCU-property en_US
dc.subject Picard group en_US
dc.subject UCS-property en_US
dc.subject Invariant Factor Theorem en_US
dc.title Almost Local-Global Rings en_US
dc.title.alternative Neredeyse Yerel-bütünsel Olan Halkalar en_US
dc.type Master Thesis en_US
dspace.entity.type Publication
gdc.author.institutional Susuzlu, İdem
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
relation.isAuthorOfPublication.latestForDiscovery 17e5299e-1d6a-4e13-880c-b9eb5e1c4b2c
relation.isOrgUnitOfPublication.latestForDiscovery 9af2b05f-28ac-4012-8abe-a4dfe192da5e

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