Matematik Bölümü Tez Koleksiyonu: Güncel gönderi

Toplam kayıt 79, listelenen: 61-79

    • 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 ...

    • Topolojik Uzaylarda Yakınlık 

      Şefik, Özgün (Fen Bilimleri Enstitüsü, 2017)
      This paper consists of four chapters. The fi rst chapter is an introduction which contains the basic motivation of nearness theory. The second section is devoted to nearness in metric spaces. Here, the nearness of two sets ...

    • Kademeli Halkalar, Modüller ve Çokkatlılık 

      Acar, Damla (Fen Bilimleri Enstitüsü, 2017-04-14)
      This thesis is based on a research over graded rings and graded modules as well as some related ideas which are of particular importance especially to the areas Algebra and Geometry. An important concept related to graded ...

    • 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 ...

    • Bir Sınıf Doğrusal Olmayan Difüzyon-Konveksiyon Denklemlerinin İncelenmesi 

      Kallı, Kerime (Fen Bilimleri Enstitüsü, 2014)
      In this dissertation, the solvability, uniqueness and long-time behavior of solution of the nonlinear diffusion-convection equation with 3. type boundary condition have been investigated. Firstly, when the initial condition ...

    • Pi-Extendıng Modüllerin Dik Toplananları Üzerine 

      Yaşar, Ramazan (Fen Bilimleri Enstitüsü, 2015)
      This work consists of five chapters. In the first chapter, the basic properties of useful certain kind of submodules in module and ring theory which are named as essential and complement submodules are given. In the second ...

    • 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 ...

    • Reidemeister Torsiyon ve Yönlendirilmiş Yüzeylerin Pantolon Parçalanışı 

      Dirican, Esma (Fen Bilimleri Enstitüsü, 2015)
      In this thesis, we consider pants decomposition of orientable Riemann surfaces. First, using the notion symplectic chain complex, we prove a new formula Reidemeister torsion of a pair of pants. By using this, we establish ...

    • Bir Sınıf Doğrusal Olmayan Difüzyon-Reaksiyon Denklemlerinin İncelenmesi 

      Öztürk, Eylem (Fen Bilimleri Enstitüsü, 2014)
      In this dissertation, the study of long-time behavior and solvability of the reaction-diffusion equation, which has a polynomial growth nonlinearity of arbitrary order, with Robin boundary condition on the bounded domain ...

    • Bir Sınıf Doğrusal Olmayan Difüzyon Denklemlerinin İncelenmesi 

      Düzgün, Fatma Gamze (Fen Bilimleri Enstitüsü, 2014)
      This work is devoted to the existence and uniqueness of the solution of 3. typeinitial-boundary value problem for nonlinear diffusion type equation and also devotedto the behavior of solution. In the first chapter, our ...

    • Zayıf Disipatif Camassa-Holm Denkleminin Patlaması Olayı Üzerine 

      Gemici, Cenk (Fen Bilimleri Enstitüsü, 2015)
      This study is devoted to the blow up solutions of the Cauchy problem for the weakly dissipative Camassa-Holm equation. In introductory chapter, the problem we studied has been introduced and other authors' studies done on ...

    • 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 ...

    • Some Generalizations of Quasi-Projective Modules 

      Kaleboğaz, Berke (Fen Bilimleri Enstitüsü, 2014)
      Our main goal in this dissertation is to investigate semi-projective modules, direct projective modules and SGQ-projective modules, which are generalizations of quasi-projective modules and to discover new properties and ...

    • 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 ...

    • Solutıon of Dıfferentıal Equatıons Usıng Nonstandard Fınıte Dıfference Methods 

      Kara, Erdi (Fen Bilimleri Enstitüsü, 2015)
      Differential equations are mostly used to model real life problems. However, it is known that in general, these equations do not have complete solutions. For that reason, researchers have tried to solve these problems by ...

    • 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 ...

    • Legendre Düğümlerin Değişmezleri 

      Sarıoğlan, Samet (Fen Bilimleri Enstitüsü, 2014)
      A knot that is everywhere tangent to the contact planes is called a Legendrian knot. There are two types of Legendrian knots in overtwisted contact 3-manifolds: Loose and non-loose Legendrian knots. In the thesis, we study ...

    • Morfizmalar Yardımıyla Tanımlanan Bazı Halka ve Modül Yapıları 

      Altun, Meltem (Fen Bilimleri Enstitüsü, 2013)
      Let M ve N be R-modules. Recent works have shown that some structures of the ring and module theory can be carried out in the context of Hom(M,N), the abelian group of all morphisms of M into N. The aim of this thesis is ...

    • Universal Modules of Differantial Operators 

      Akçin, Halise Melis Tekin (Fen Bilimleri Enstitüsü, 2015)
      This thesis is concerned with universal differential operator modules of order n. Let R be a commutative k-algebra where k is an algebraically closed field of characteristic zero. Let m and n be positive integers such that ...