• A Study On Direct Summand Submodules Over Noncommutative Rings 

      Altun Özarslan , Meltem (Fen Bilimleri Enstitüsü, 2018)
      A natural problem to consider in ring and module theory is to investigate the cancellation property of a given object. This problem was first considered by Jónsson and Tarski for any algebraic system and then gave rise ...
    • 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 ...
    • Ağırlıklı Projektif Uzaylar Üzerindeki Kodlar ve Onların Cebirsel Değişmezleri 

      Çakıroğlu, Yağmur (Fen Bilimleri Enstitüsü, 2024)
      Weighted projective spaces, when considered in light of the geometric definition for projective spaces and allowing non-trivial weights, exhibit unique structures both geometrically and algebraically. By non-trivial weights, ...
    • Ağırlıklı Projektif Uzaylardaki Parametrik Kodlar 

      Çakıroğlu, Yağmur (Fen Bilimleri Enstitüsü, 2019)
      In this thesis we study parametric codes defined by any subset of a weighted projective space which is parameterized by monomials. The methods and notions used to study these codes are presented in detail. This work ...
    • Algebraic Structure of Generalized Splines 

      Sarıoğlan, Samet (Fen Bilimleri Enstitüsü, 2019)
      Given a fnite graph G=(V,E), a commutative ring R with unity and an edge labeling function α that assigns the ideals of R to the edges of G, the pair (G,α) is called an edge labeled graph. A vertex labeling F ⊂ R |V | is ...
    • Almost P-Ary Perfect Sequences And Their Applications To Cryptography 

      Özden, Büşra (Fen Bilimleri Enstitüsü, 2019)
      In this thesis we study almost p-ary sequences and their autocorrelation coefficients. We first study the number L of distinct out-of-phase autocorrelation coefficients for an almost p-ary sequence of period n + s with s ...
    • Alternative Digital Signature Schemes In Blockchain 

      Yavuzyiğit , Fahrettin (Fen Bilimleri Enstitüsü, 2019)
      This thesis is a study on authentication methods of Bitcoin ecosystem which is an application of blockchain. Firstly, the facilities given by Bitcoin along with its security requirements are examined from a perspective ...
    • Asimetrik Topolojik Uzaylar 

      Karataş, Esra (Fen Bilimleri Enstitüsü, 2013)
      The aim of this thesis is to make a compilation about asymmetric topological spaces and dual spaces which are defined in order to provide asymmetric spaces to have better topological properties. This work consists of five ...
    • Bazı Seçme Özelliklerinin Zayıf ve Göreceli Formları 

      Eysen , Ali Emre (Fen Bilimleri Enstitüsü, 2019-06-24)
      The aim of this thesis is to introduce the weak forms of some classical selection properties in bitopological spaces, investigate the relationships between them and characterize these properties with topological games. ...
    • Bazı Singular Genelleştirilmiş Fonksiyonların Neutrix Kompozisyonları 

      Aktürk, Inci (Fen Bilimleri Enstitüsü, 2014)
      In this thesis by using the neutrix calculus, the neutrix compositions of some special generalized functions are defined.The thesis consists of five chapters.The first chapter is an introduction to the thesis. In the second ...
    • 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 ...
    • Contact Structures and Legendrian Links 

      Ay, Sercan (Fen Bilimleri Enstitüsü, 2022)
      A contact structure on an oriented three-manifold is a maximally non-integrable 2-plane field distributed all over the three-manifold. Legendrian knots and Legendrian links in contact three-manifolds give important ...
    • 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. ...
    • Dedekind Asal Halkalar ve Genelleştirmeleri 

      Koçak, Gözde (Fen Bilimleri Enstitüsü, 2015)
      The commutative theory of Dedekind domains is well developed in literature and much isknown about the arithmetic of ideals and also the structure of modules over a Dedekinddomain. There have been many studies on the ...
    • DEĞİŞMELİ OLMAYAN HALKALARDA COHEN VE KAPLANSKY TEOREMLERİNİN GENELLEMELERİ 

      Kayıkçı, Burcu (Fen Bilimleri Enstitüsü, 2017-08)
      In commutative setting, prime ideals are very important tools to determine the structure of a ring. In this thesis, some structure theorems will be discussed which belong to Cohen and Kaplansky. The aim of this thesis ...
    • Derivations and Automorphisms of Certain Subrings of Matrix Rings 

      Sayın, Umut (Fen Bilimleri Enstitüsü, 2018)
      Let K be an arbitrary associative ring with identity. We denote by Mn(K) the ring of all nxn matrices over K. Say K=F for some field F. Then it is a consequence of Skolem-Noether theorem that every automorphism of Mn(F) ...