### Recent Submissions

• #### 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, ...
• #### 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 ...
• #### 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 ...
• #### 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 ...
• #### 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 ...
• #### 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. ...
• #### Serbest veya Yüzey Grubunun Temsil Uzayları ve Reidemeister Torsiyon ﻿

(Fen Bilimleri Enstitüsü, 2019)
In this thesis, by using the algebraic topological instrument symplectic chain complex and the toplogical invariant Reidemeister torsion, which has also many applications in several branches of mathematics and theoretical ...
• #### 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 ...
• #### Torus Knots and Contact Surgeries ﻿

(Fen Bilimleri Enstitüsü, 2018)
A closed curve homeomorphic to the unit circle in a 3-manifold is called a knot. In particularly, a knot that can be drawn on a torus without intersecting itself is called a torus knot. In this thesis, we study torus knots ...