Browsing Matematik Bölümü Tez Koleksiyonu by Rights "info:eu-repo/semantics/openAccess"
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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, 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 ... -
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 P-Ary Perfect Sequences And Their Applications To Cryptography
(Fen Bilimleri Enstitüsü, 2019)In this thesis we study almost p-ary sequences and their autocorrelation coefficients. We first study the number L of distinct out-of-phase autocorrelation coefficients for an almost p-ary 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, 2019-06-24)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, ... -
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 ... -
DEĞİŞMELİ OLMAYAN HALKALARDA COHEN VE KAPLANSKY TEOREMLERİNİN GENELLEMELERİ
(Fen Bilimleri Enstitüsü, 2017-08)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 Skolem-Noether 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, 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 ... -
GEÇİŞLİ DÜZGÜNÜMSÜ UZAYLARIN TEORİSİ
(Fen Bilimleri Enstitüsü, 2017)In this thesis, a detailed compilation study about the theory of transitive quasi-uniform 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 ... -
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, ... -
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 ... -
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 ...