• 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 ...
    • Adjoint Grubu Nilpotent olan Artinian Halkalar 

      Başaran, Duygu Gülşah (Fen Bilimleri Enstitüsü, 2022)
      This study consists of four main parts. In the first section of the study , informations about historical development and content of the thesis are given. In the second section, some definitions and theorems related to ...
    • BUTSON-HADAMARD CODES AND RELATED QUANTUM CODES 

      Acar, Damla (Fen Bilimleri Enstitüsü, 2024)
      A Butson-Hadamard (BH) matrix H is a square matrix of dimension n whose entries are complex roots of unity such that HH∗ = nI. In the first part of this thesis, we deal with codes obtained from BH matrices, called BH codes, ...
    • 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, ...
    • CONDITIONAL DIRECT SUMMAND PROPERTIES VIA RELATIVE INJECTIVITY 

      MUSLU, Burak (Fen Bilimleri Enstitüsü, 2023)
      In this study, CS-modules and some of their generalizations, conditional direct summands feature modules will be handled with the help of relative injectivity and the results in this direction will be compiled and the ...
    • Conditional Direct Summand Properties Via Relative Injectivity 

      Muslu, Burak (Fen Bilimleri Enstitüsü, 2023)
      In this study, CS-modules and some of their generalizations, conditional direct summands feature modules will be handled with the help of relative injectivity and the results in this direction will be compiled and the ...
    • Çatılar Üzerindeki Bazı Topolojik Özellikler 

      Balıkçı, Can (Fen Bilimleri Enstitüsü, 2024)
      The aim of this thesis is to explore the concept of frame, which is a special kind of a lattice, and to examine their topological properties, such as separation axioms and compactness. The study consists of six chapters. ...
    • 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 ...
    • Endomorfizma Halkası Düzenli Olan Modüller Üzerine Bir Çalışma 

      Arslan, Hümeyra (Fen Bilimleri Enstitüsü, 2022-06-22)
      In the first part of our thesis, a brief information about the studies on regular rings is given. In the second chapter, the general properties of regular and unit regular rings, and some basic concepts that we will use ...
    • f-Supplemented Lattices 

      Can, Elif (Fen Bilimleri Enstitüsü, 2023)
      The main purpose of this thesis is to generalize some known results about F-supplemented modules to lattices. Let L be a complete modular lattice with smallest element 0 and greatest element 1. A homomorphic image of an ...
    • 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 ...
    • 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, ...
    • Güçlü İkili Lineer Olmayan Schrödinger Sistemi için Yapı Koruyan Sayısal Bir Yöntem 

      Örs, Rıdvan Fatih (Fen Bilimleri Enstitüsü, 2024)
      In this thesis, a new structure-preserving numerical method for strongly coupled nonlinear Schrödinger equation (SCNLS) is presented. It is shown that the proposed new method conserves the discrete mass and energy. Numerical ...
    • Helson Beurling Teoremi ve Uygulamaları 

      Taş, Gizem (Fen Bilimleri Enstitüsü, 2018)
      In thesis we treat the celebrated Helson-Beurling Theorem which charac- terizes the closed subspaces of L2 which are invariant under the shift operator. We also treat the characterization of invariant subspaces of the ...
    • Integrals of Motion in Curved Space-Time 

      Demir, Toygun Kutkar (Fen Bilimleri Enstitüsü, 2023-07-12)
      Integrals of motion are the quantities that remain constant during the motion of a point particle that allow to determine various important properties without solving the equations of motion. In this thesis, a systematic ...
    • LES-C Modeli İle Akışkan-Akışkan Etkileşimi Problemlerinde Modelleme Hatasının Azaltılması 

      Önal, Eda (Fen Bilimleri Enstitüsü, 2023)
      In this study, a numerical method is proposed for a fluid-fluid interaction problem where two flows are coupled through a nonlinear joint interface and one or both of these flows are at high Reynolds numbers. It is known ...
    • Pure Direct Injectıve Objects in Grothendıeck Categorıes 

      Yiğit, Aliye (Fen Bilimleri Enstitüsü, 2022)
      We study generalizations of the concept of direct-injectivity (respectively pure-direct-injectivity) from module categories to abelian categories (respectively Grothendieck categories). We examine for which categories or ...
    • Pure Direct Projective Objects in Grothendieck Categories 

      Aydoğdu, Batuhan (Fen Bilimleri Enstitüsü, 2022)
      We study generalizations of the concept of direct-projectivity (respectively pure-direct-projectivity) from module categories to abelian categories (respectively Grothendieck categories). We examine for which categories ...
    • q-Hiperkonveks T0-Metrikimsi Uzaylar 

      Devecio, Enes (Fen Bilimleri Enstitüsü, 2022-06)
      In this thesis, firstly the concept of hyperconvexity in metric spaces is given and then the q-hyperconvexity theory, which is the generalization of the concept of hyperconvexity to T0-quasi-metric spaces, is studied. In ...
    • Riesz Uzaylarında Netlerin Yakınsaklıkları Üzerine 

      Eryüksel, Ezgi Han (Fen Bilimleri Enstitüsü, 2023)
      Banach lattices can be equipped with many convergence structures such as order, relative regular, unbounded order, unbounded norm convergence, and absolutely un bounded weak convergence. While some of these convergences ...