Browsing Matematik Bölümü Tez Koleksiyonu by Title
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A Study On Direct Summand Submodules Over Noncommutative Rings
(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 ... 
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 ... 
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 ... 
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 ... 
DEĞİŞMELİ OLMAYAN HALKALARDA COHEN VE KAPLANSKY TEOREMLERİNİN GENELLEMELERİ
(Fen Bilimleri Enstitüsü, 201708)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
(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 SkolemNoether theorem that every automorphism of Mn(F) ... 
Diçatılara Genelleştirilmiş Bazı Topolojik Kavramlar
(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 ... 
Diferansiyel Operatörlerin Evrensel Modülleri
(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 ... 
Factorızatıon Of Ideals In Commutatıve Domaıns And Some Generalızatıons Of Dedekınd Domaıns
(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
(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 ... 
Hareket Veri Tabanlarında Fizik Tabanlı Benzerlik Arama
(Fen Bilimleri Enstitüsü, 2018)Human motion capture data is a digital representation of the complex spatio temporal structure of three dimensional human motion. With the rapid development of motion capturing technologies and the more common use of motion ... 
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 ... 
Kademeli Halkalar, Modüller ve Çokkatlılık
(Fen Bilimleri Enstitüsü, 20170414)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 ... 
Kuasilineer Dalga Denkleminin Uzun Zaman Davranışı
(Fen Bilimleri Enstitüsü, 2018)In this thesis, we concern the long time behaviours of the one dimensional strongly damped nonlinear wave equation u_ttu_txx∂/∂x (u_x ^(p2) u_x )+f(u)=g(x) (1) in bounded domain and the one dimensional strongly ... 
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 ... 
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 ... 
Lineer Olmayan Kısmi Diferansiyel Denklemlerin Backlund Dönüşümleri
(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 ... 
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 ... 
Newton Metodundan Elde Edilen Rasyonel Fonksiyonların Dinamiği ve Geometrisi
(Fen Bilimleri Enstitüsü, 201703)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 ... 
Open Book Decompositions And Contact Surgeries
(Fen Bilimleri Enstitüsü, 2018)By Alexander it was shown that an open book decomposition can be found for each closed, oriented 3manifold. In this thesis, the importance of open book decompositions in terms of contact 3manifolds will be studied by ...