Now showing items 1-20 of 52

• #### 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 ...
• #### 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 ...
• #### Asimetrik Topolojik Uzaylar ﻿

(Fen Bilimleri Enstitüsü, 2013)
The aim of this thesis is to make a compilation about asymmetric topological spaces and dual spaces which are defined in order to provide asymmetric spaces to have better topological properties. This work consists of five ...
• #### 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. ...
• #### Bazı Singular Genelleştirilmiş Fonksiyonların Neutrix Kompozisyonları ﻿

(Fen Bilimleri Enstitüsü, 2014)
In this thesis by using the neutrix calculus, the neutrix compositions of some special generalized functions are defined.The thesis consists of five chapters.The first chapter is an introduction to the thesis. In the second ...
• #### 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, ...
• #### Dedekind Asal Halkalar ve Genelleştirmeleri ﻿

(Fen Bilimleri Enstitüsü, 2015)
The commutative theory of Dedekind domains is well developed in literature and much isknown about the arithmetic of ideals and also the structure of modules over a Dedekinddomain. There have been many studies on the ...
• #### 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 ...
• #### Factorization of Ideals in Commutative Domains and Some Generalizations of Dedekind Domains ﻿

(Fen Bilimleri Enstitüsü, 2015)
Dedekind domain are the rings in which every nonzero proper ideal has a prime factorization. In this thesis, we first study valuation rings and Prüfer domains. Then we characterize Dedekind domains which are also Noetherian ...
• #### 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 ...