Browsing Matematik Bölümü Tez Koleksiyonu by Title

Now showing items 1-20 of 61

    • 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 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 ...

    • 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, ...

    • 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 ...

    • 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) ...

    • 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 ...

    • 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 ...

    • Factorization of Ideals in Commutative Domains and Some Generalizations of Dedekind Domains 

      Vural, Akif (Fen Bilimleri Enstitüsü, 2015)
      Dedekind domain are the rings in which every nonzero proper ideal has a prime factorization. In this thesis, we first study valuation rings and Prüfer domains. Then we characterize Dedekind domains which are also Noetherian ...

    • 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 ...