• 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, ...
    • 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 ...
    • 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 ...
    • Simitli Çeşitlem Üzerinde Üzerinde Parametrik Kodlar Ve Sıfırlayan İdealler 

      Baran Özkan, Esma (Fen Bilimleri Enstitüsü, 2021)
      Let X be a complete simplicial toric variety over a finite field with a split torus T_X. This thesis is on parameterized codes obtained from the subgroups of the torus T_X parameterized by matrices. It is very important ...
    • Derivations and Automorphisms of Some Infinite Matrix Algebras 

      Yılmaz, Tunahan (Fen Bilimleri Enstitüsü, 2021)
      Let R be a commutative ring with identity and M_n(R) be the algebra (ring) of all n x n matrices over R. Note that an additive D of a ring R into itself is said to be a derivation of R if D(xy)=D(x)y+xD(y) for all x, y ...
    • Halka Yapısının Sonlu Sıfırlanan Modüller Üzerinde Belirlenmesi 

      Çağlar, Deniz Halim (Fen Bilimleri Enstitüsü, 2021)
      This thesis is based on work on modules that satisfy the H-condition, also known as "finitely annihilated modules" in the theory of modules on unitary rings. Modules that satisfy the H-condition have taken an important ...
    • Combınatorıal Solutıons For Consensus Algorıthms And Blockchaın Shardıng 

      Jameel, Marwan (Fen Bilimleri Enstitüsü, 2021)
      The scalability problem in blockchain technology seems to be the essential issue to be solved. It is known that the choice of a compromised algorithm is critical for the practical solution of this important problem. Usually, ...
    • Açık Örtü Sınıflarına Dayalı Özellikler Üzerine Bir Çalışma 

      Açıkgöz, Necati Can (Fen Bilimleri Enstitüsü, 2021-06-14)
      he aim of this thesis is to make a compilation on the theory named as infinite combinatorialtopology or the selection principles in mathematics and to investigate the relations betweenthe sets of reals and Menger Conjecture.This ...
    • Variations of Star Coloring on Graphs 

      Kırtışoğlu, Alaittin (Fen Bilimleri Enstitüsü, 2021-06-25)
      This thesis is constructed on a variety of coloring types in five chapters. Following the Introduction chapter, elementary definitions and methods used throughout the work are presented in Chapter 2. Chapter 3 presents ...
    • T0-metrikimsi Uzayların Simetrisizliğine Yaklaşım Teorileri 

      Javanshır, Nezakat (Fen Bilimleri Enstitüsü, 2021-12-28)
      The aim of this thesis is to construct various original metric approach theories speci c to the asymmetric environment for the asymmetry of T0-quasi-metrics, non-metrics and also known as asymmetric distance functions, ...