Browsing Matematik Bölümü Tez Koleksiyonu by Issue Date
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Morfizmalar Yardımıyla Tanımlanan Bazı Halka ve Modül Yapıları
(Fen Bilimleri Enstitüsü, 2013)Let M ve N be Rmodules. 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 ... 
Asimetrik Topolojik Uzaylar
(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 ... 
Bir Sınıf Doğrusal Olmayan DifüzyonReaksiyon Denklemlerinin İncelenmesi
(Fen Bilimleri Enstitüsü, 2014)In this dissertation, the study of longtime behavior and solvability of the reactiondiffusion 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
(Fen Bilimleri Enstitüsü, 2014)This work is devoted to the existence and uniqueness of the solution of 3. typeinitialboundary value problem for nonlinear diffusion type equation and also devotedto the behavior of solution. In the first chapter, our ... 
Legendre Düğümlerin Değişmezleri
(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 3manifolds: Loose and nonloose Legendrian knots. In the thesis, we study ... 
Some Generalizations of QuasiProjective Modules
(Fen Bilimleri Enstitüsü, 2014)Our main goal in this dissertation is to investigate semiprojective modules, direct projective modules and SGQprojective modules, which are generalizations of quasiprojective modules and to discover new properties and ... 
Bir Sınıf Doğrusal Olmayan DifüzyonKonveksiyon Denklemlerinin İncelenmesi
(Fen Bilimleri Enstitüsü, 2014)In this dissertation, the solvability, uniqueness and longtime behavior of solution of the nonlinear diffusionconvection equation with 3. type boundary condition have been investigated. Firstly, when the initial condition ... 
Bazı Singular Genelleştirilmiş Fonksiyonların Neutrix Kompozisyonları
(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 ... 
Reidemeister Torsiyon ve Yönlendirilmiş Yüzeylerin Pantolon Parçalanışı
(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 ... 
Zayıf Disipatif CamassaHolm Denkleminin Patlaması Olayı Üzerine
(Fen Bilimleri Enstitüsü, 2015)This study is devoted to the blow up solutions of the Cauchy problem for the weakly dissipative CamassaHolm equation. In introductory chapter, the problem we studied has been introduced and other authors' studies done on ... 
Universal Modules of Differantial Operators
(Fen Bilimleri Enstitüsü, 2015)This thesis is concerned with universal differential operator modules of order n. Let R be a commutative kalgebra where k is an algebraically closed field of characteristic zero. Let m and n be positive integers such that ... 
Factorization of Ideals in Commutative Domains and Some Generalizations of Dedekind Domains
(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 ... 
PiExtendıng Modüllerin Dik Toplananları Üzerine
(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 ... 
Solutıon of Dıfferentıal Equatıons Usıng Nonstandard Fınıte Dıfference Methods
(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 ... 
Dedekind Asal Halkalar ve Genelleştirmeleri
(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 ... 
Legendre Düğümlerinin Sınıflandırılması
(Fen Bilimleri Enstitüsü, 2017)A contact structure on a 3manifold is a maximally nonintegrable 2plane field distributed all over the 3manifold. There are two types of contact structures on 3manifolds: tight and overtwisted. Knots that are everywhere ... 
İDEAL VE MODÜL İNDİRGEMELERİ
(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 HilbertSamuel polynomials. In fact, given an ... 
γBUTSONHADAMARD MATRICES AND THEIR CRYPTOGRAPHIC APPLICATIONS
(Fen Bilimleri Enstitüsü, 2017)A Hadamard matrix is a square matrix with entries ±1 whose rows are orthogonal to each other. Hadamard matrices appear in various fields including cryptography, coding theory, combinatorics etc. This thesis takes an interest ... 
GEÇİŞLİ DÜZGÜNÜMSÜ UZAYLARIN TEORİSİ
(Fen Bilimleri Enstitüsü, 2017)In this thesis, a detailed compilation study about the theory of transitive quasiuniform spaces constructed in peculiar to asymmetric topology as well as the various results, together with the fundamental properties ... 
Topolojik Uzaylarda Yakınlık
(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 ...