• 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 ...
    • 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 ...
    • 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. ...
    • 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, ...
    • 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) ...
    • 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 ...
    • Diçatılara Genelleştirilmiş Bazı Topolojik Kavramlar 

      Korkmaz, Esra (Fen Bilimleri Enstitüsü, 2018)
      The aim of this thesis is to define the notion of diframe as a generalization of ditopological texture spaces and to study the topological concepts such as separation axioms and compactness in diframe setting. This work ...
    • GEÇİŞLİ DÜZGÜNÜMSÜ UZAYLARIN TEORİSİ 

      Hasman, Şule (Fen Bilimleri Enstitüsü, 2017)
      In this thesis, a detailed compilation study about the theory of transitive quasi-uniform spaces constructed in peculiar to asymmetric topology as well as the various results, together with the fundamental properties ...
    • 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, ...
    • 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 ...
    • İDEAL VE MODÜL İNDİRGEMELERİ 

      AKIN, MERVE (Fen Bilimleri Enstitüsü, 2017)
      In Commutative Algebra, there have been numerous significant contributions for understanding growth of ideals. Research in this direction is mostly based on the concept of Hilbert-Samuel polynomials. In fact, given an ...
    • Legendre Düğümlerinin Sınıflandırılması 

      Pekavcılar, Berna (Fen Bilimleri Enstitüsü, 2017)
      A contact structure on a 3-manifold is a maximally non-integrable 2-plane field distributed all over the 3-manifold. There are two types of contact structures on 3-manifolds: tight and overtwisted. Knots that are everywhere ...
    • Lineer Olmayan Kısmi Diferansiyel Denklemlerin Backlund Dönüşümleri 

      Kar, Nurdan (Fen Bilimleri Enstitüsü, 2018)
      In this thesis, it is studied how the B¨acklund transformations of nonlinear partial differential equations are obtained and deriving new solutions from the known solutions by using these transformations with the ...
    • Newton Metodundan Elde Edilen Rasyonel Fonksiyonların Dinamiği ve Geometrisi 

      Yüceer, Abdüsselam (Fen Bilimleri Enstitüsü, 2017-03)
      In this study a new iterative method is introduced, aims to find all roots of complex polynomials with help of Newton’s method. There are methods similar to this one, their degrees are introduced by Sutherland in 1989 ...