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Title: Almost local-global rings
Other Titles: Neredeyse yerel-bütünsel olan halkalar
Authors: Susuzlu, İdem
Advisors: Ay Saylam, Başak
Keywords: Rings (Algebra)
Prüfer domains
Picard group
Invariant Factor Theorem
Publisher: Izmir Institute of Technology
Source: Susuzlu, İ. (2017). Almost local-global rings. Unpublished master's thesis, İzmir Institute of Technology, İzmir, Turkey
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.
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.
Description: Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2017
Includes bibliographical references (leaves: 43-44)
Text in English; Abstract: Turkish and English
Appears in Collections:Master Degree / Yüksek Lisans Tezleri

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