Matematik Bölümü Tez Koleksiyonu
Recent Submissions
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Çatılar Üzerindeki Bazı Topolojik Özellikler
(Fen Bilimleri Enstitüsü, 2024)The aim of this thesis is to explore the concept of frame, which is a special kind of a lattice, and to examine their topological properties, such as separation axioms and compactness. The study consists of six chapters. ... -
Modüllerin Baer-Kaplansky Sınıfları Üzerine Bir Çalışma
(Fen Bilimleri Enstitüsü, 2024)If A and B are torsion groups whose EndZ(A) and EndZ(B) are isomorphic with Ψ, then A and B are isomorphic. Moreover, if A and B are isomorphic with ϕ, then Ψ(η) = ϕηϕ−1. This expression is known as “Baer-Kaplansky ... -
Integrals of Motion in Curved Space-Time
(Fen Bilimleri Enstitüsü, 2023-07-12)Integrals of motion are the quantities that remain constant during the motion of a point particle that allow to determine various important properties without solving the equations of motion. In this thesis, a systematic ... -
Riesz Uzaylarında Netlerin Yakınsaklıkları Üzerine
(Fen Bilimleri Enstitüsü, 2023)Banach lattices can be equipped with many convergence structures such as order, relative regular, unbounded order, unbounded norm convergence, and absolutely un bounded weak convergence. While some of these convergences ... -
f-Supplemented Lattices
(Fen Bilimleri Enstitüsü, 2023)The main purpose of this thesis is to generalize some known results about F-supplemented modules to lattices. Let L be a complete modular lattice with smallest element 0 and greatest element 1. A homomorphic image of an ... -
Theory of Orthogonally Additive Operators
(Fen Bilimleri Enstitüsü, 2023)An orthogonally additive operator is a map that satisfies the additivity property under the disjointness condition. This thesis focuses on the theory of orthogonally additive operators. The concept of fragments plays a ... -
Conditional Direct Summand Properties Via Relative Injectivity
(Fen Bilimleri Enstitüsü, 2023)In this study, CS-modules and some of their generalizations, conditional direct summands feature modules will be handled with the help of relative injectivity and the results in this direction will be compiled and the ... -
CONDITIONAL DIRECT SUMMAND PROPERTIES VIA RELATIVE INJECTIVITY
(Fen Bilimleri Enstitüsü, 2023)In this study, CS-modules and some of their generalizations, conditional direct summands feature modules will be handled with the help of relative injectivity and the results in this direction will be compiled and the ... -
Topolojik Oyunlarda Örtüsel Özellikler
(Fen Bilimleri Enstitüsü, 2023)This thesis consists of five chapters. The first chapter is devoted to game theory and the historical development of topological games, which is the subject of the thesis. In the second part, some definitions and theorems ... -
LES-C Modeli İle Akışkan-Akışkan Etkileşimi Problemlerinde Modelleme Hatasının Azaltılması
(Fen Bilimleri Enstitüsü, 2023)In this study, a numerical method is proposed for a fluid-fluid interaction problem where two flows are coupled through a nonlinear joint interface and one or both of these flows are at high Reynolds numbers. It is known ... -
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 ...
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