Matematik Bölümü
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Helson Beurling Teoremi ve Uygulamaları
(Fen Bilimleri Enstitüsü, 2018)In thesis we treat the celebrated Helson-Beurling Theorem which charac- terizes the closed subspaces of L2 which are invariant under the shift operator. We also treat the characterization of invariant subspaces of the ... -
Pure Direct Injectıve Objects in Grothendıeck Categorıes
(Fen Bilimleri Enstitüsü, 2022)We study generalizations of the concept of direct-injectivity (respectively pure-direct-injectivity) from module categories to abelian categories (respectively Grothendieck categories). We examine for which categories or ... -
Pure Direct Projective Objects in Grothendieck Categories
(Fen Bilimleri Enstitüsü, 2022)We study generalizations of the concept of direct-projectivity (respectively pure-direct-projectivity) from module categories to abelian categories (respectively Grothendieck categories). We examine for which categories ... -
q-Hiperkonveks T0-Metrikimsi Uzaylar
(Fen Bilimleri Enstitüsü, 2022-06)In this thesis, firstly the concept of hyperconvexity in metric spaces is given and then the q-hyperconvexity theory, which is the generalization of the concept of hyperconvexity to T0-quasi-metric spaces, is studied. In ... -
Endomorfizma Halkası Düzenli Olan Modüller Üzerine Bir Çalışma
(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 ... -
Contact Structures and Legendrian Links
(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 ... -
Adjoint Grubu Nilpotent olan Artinian Halkalar
(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 ... -
T0-metrikimsi Uzayların Simetrisizliğine Yaklaşım Teorileri
(Fen Bilimleri Enstitüsü, 2021-12-28)The aim of this thesis is to construct various original metric approach theories speci c to the asymmetric environment for the asymmetry of T0-quasi-metrics, non-metrics and also known as asymmetric distance functions, ... -
Combınatorıal Solutıons For Consensus Algorıthms And Blockchaın Shardıng
(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, ... -
Halka Yapısının Sonlu Sıfırlanan Modüller Üzerinde Belirlenmesi
(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 ... -
Simitli Çeşitlem Üzerinde Üzerinde Parametrik Kodlar Ve Sıfırlayan İdealler
(Fen Bilimleri Enstitüsü, 2021)Let X be a complete simplicial toric variety over a finite field with a split torus T_X. This thesis is on parameterized codes obtained from the subgroups of the torus T_X parameterized by matrices. It is very important ... -
Variations of Star Coloring on Graphs
(Fen Bilimleri Enstitüsü, 2021-06-25)This thesis is constructed on a variety of coloring types in five chapters. Following the Introduction chapter, elementary definitions and methods used throughout the work are presented in Chapter 2. Chapter 3 presents ... -
Derivations and Automorphisms of Some Infinite Matrix Algebras
(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 ... -
Açık Örtü Sınıflarına Dayalı Özellikler Üzerine Bir Çalışma
(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 ... -
Riesz Uzayları Üzerinde Tanımlı Sıra Kompakt ve Sınırsız Sıra Kompakt Operatörler
(Fen Bilimleri Enstitüsü, 2020-08-28)Order convergence and unbounded order convergence are not topological terms on Riesz space. On the other hand, compact operatör takes an important place in functional analysis. In this thesis, we investigate order compact ... -
Some Results on Operator Theory Based on Unbounded Convergence
(Fen Bilimleri Enstitüsü, 2020-08-31)Main topic of the this work is to use the notion of unbounded convergences on vector lattices to derive properties of various classes of operators and nets of operators defined between vector lattices, Banach lattices, and ... -
The Injective Profile of a Ring and its Effect on the Structure of Rings
(Fen Bilimleri Enstitüsü, 2020)This thesis is partly based on recent developments on the subject of what is known as “injectivity domains” in the theory of modules over rings with identity. The subject was suggested as a measurement of how far a module ... -
Genelleştirilmiş Splinelar Teorisi
(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
(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, ... -
Long-Time Dynamics of the Parabolic P-Laplacian Equation
(Amer Inst Mathematical Sciences, 2013)In this paper, we study the long-time behaviour of solutions of Cauchy problem for the parabolic p-Laplacian equation with variable coefficients. Under the mild conditions on the coefficient of the principal part and without ...
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