Browsing Matematik Bölümü Tez Koleksiyonu by Department "Matematik"
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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 ... 
Açık Örtü Sınıflarına Dayalı Özellikler Üzerine Bir Çalışma
(Fen Bilimleri Enstitüsü, 20210614)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 ... 
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 ... 
Ağırlıklı Projektif Uzaylardaki Parametrik Kodlar
(Fen Bilimleri Enstitüsü, 2019)In this thesis we study parametric codes defined by any subset of a weighted projective space which is parameterized by monomials. The methods and notions used to study these codes are presented in detail. This work ... 
Algebraic Structure of Generalized Splines
(Fen Bilimleri Enstitüsü, 2019)Given a fnite graph G=(V,E), a commutative ring R with unity and an edge labeling function α that assigns the ideals of R to the edges of G, the pair (G,α) is called an edge labeled graph. A vertex labeling F ⊂ R V  is ... 
Almost PAry Perfect Sequences And Their Applications To Cryptography
(Fen Bilimleri Enstitüsü, 2019)In this thesis we study almost pary sequences and their autocorrelation coefficients. We first study the number L of distinct outofphase autocorrelation coefficients for an almost pary sequence of period n + s with s ... 
Alternative Digital Signature Schemes In Blockchain
(Fen Bilimleri Enstitüsü, 2019)This thesis is a study on authentication methods of Bitcoin ecosystem which is an application of blockchain. Firstly, the facilities given by Bitcoin along with its security requirements are examined from a perspective ... 
Bazı Seçme Özelliklerinin Zayıf ve Göreceli Formları
(Fen Bilimleri Enstitüsü, 20190624)The aim of this thesis is to introduce the weak forms of some classical selection properties in bitopological spaces, investigate the relationships between them and characterize these properties with topological games. ... 
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, ... 
CONDITIONAL DIRECT SUMMAND PROPERTIES VIA RELATIVE INJECTIVITY
(Fen Bilimleri Enstitüsü, 2023)In this study, CSmodules 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, CSmodules 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 ... 
Contact Structures and Legendrian Links
(Fen Bilimleri Enstitüsü, 2022)A contact structure on an oriented threemanifold is a maximally nonintegrable 2plane field distributed all over the threemanifold. Legendrian knots and Legendrian links in contact threemanifolds give important ... 
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) ... 
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 ... 
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 ... 
Endomorfizma Halkası Düzenli Olan Modüller Üzerine Bir Çalışma
(Fen Bilimleri Enstitüsü, 20220622)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 ... 
fSupplemented Lattices
(Fen Bilimleri Enstitüsü, 2023)The main purpose of this thesis is to generalize some known results about Fsupplemented modules to lattices. Let L be a complete modular lattice with smallest element 0 and greatest element 1. A homomorphic image of an ... 
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 ... 
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 ...