• Genelleştirilmiş Splinelar Teorisi 

      Dilaver, Gökçen (Fen Bilimleri Enstitüsü, 2020)
      Let $R$ be a commutative ring with identity and $G=(V,E)$ be a finite graph, where $V$ is a set of elements of vertices and $E$ is a set of elements of edges. A map $ \alpha : E \to \{\text{ideals in R}\}$ is called ...
    • The Injective Profile of a Ring and its Effect on the Structure of Rings 

      Yuca, Nergiz (Fen Bilimleri Enstitüsü, 2020)
      This thesis is partly based on recent developments on the subject of what is known as “injectivity domains” in the theory of modules over rings with identity. The subject was suggested as a measurement of how far a module ...
    • Geometric Structures on Riemann Surfaces and Reidemeister Torsion 

      Zeybek, Hatice (Fen Bilimleri Enstitüsü, 2020)
      Let Σ be a closed orientable surface of genus at least 2 and Rep(Σ,G) be the smooth part of the representation variety of homomorphisms' conjugation classes from fundamental group of Σ to Lie group G. In this thesis, ...
    • Riesz Uzayları Üzerinde Tanımlı Sıra Kompakt ve Sınırsız Sıra Kompakt Operatörler 

      Özdemir, Şaziye Ece (Fen Bilimleri Enstitüsü, 2020-08-28)
      Order convergence and unbounded order convergence are not topological terms on Riesz space. On the other hand, compact operatör takes an important place in functional analysis. In this thesis, we investigate order compact ...
    • Some Results on Operator Theory Based on Unbounded Convergence 

      Gezer, Niyazi Anıl (Fen Bilimleri Enstitüsü, 2020-08-31)
      Main topic of the this work is to use the notion of unbounded convergences on vector lattices to derive properties of various classes of operators and nets of operators defined between vector lattices, Banach lattices, and ...