Matematik Bölümü
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T0metrikimsi Uzayların Simetrisizliğine Yaklaşım Teorileri
(Fen Bilimleri Enstitüsü, 20211228)The aim of this thesis is to construct various original metric approach theories speci c to the asymmetric environment for the asymmetry of T0quasimetrics, nonmetrics 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 Hcondition, also known as "finitely annihilated modules" in the theory of modules on unitary rings. Modules that satisfy the Hcondition 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, 20210625)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, 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 ... 
Riesz Uzayları Üzerinde Tanımlı Sıra Kompakt ve Sınırsız Sıra Kompakt Operatörler
(Fen Bilimleri Enstitüsü, 20200828)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, 20200831)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, ... 
LongTime Dynamics of the Parabolic PLaplacian Equation
(Amer Inst Mathematical Sciences, 2013)In this paper, we study the longtime behaviour of solutions of Cauchy problem for the parabolic pLaplacian equation with variable coefficients. Under the mild conditions on the coefficient of the principal part and without ... 
On Existence And Nonexistence Of The Positive Solutions Of NonNewtonian Filtration Equation
(Amer Inst Mathematical Sciences, 2011)The subject this investigation is existence and nonexistence of positive solutions of the following nonhomogeneous equation rho(vertical bar x vertical bar) partial derivative u/partial derivative t  Sigma(N)(i=1) ... 
On HollowLifting Modules
(Mathematical Soc Rep China, 2007)Let R be any ring and let M be any right Rmodule. M is called hollowlifting if every submodule N of M such that M/N is hollow has a coessential submodule that is a direct summand of M. We prove that every amply supplemented ... 
On Dual Baer Modules
(Cambridge Univ Press, 2010)In this paper we introduce Tnoncosingular modules, dual Baer modules and Kmodules. We prove that a module M is lifting and Tnoncosingular if and only if it is a dual Baer and Kmodule. Rings for which all modules are ... 
On ClsModules
(Rocky Mt Math Consortium, 1995) 
On Artinian Rings With Restricted Class Of Injectivity Domains
(Academic Press Inc Elsevier Science, 2013)In a recent paper of Alahmadi, Alkan and LopezPermouth, a ring R is defined to have no (simple) middle class if the injectivity domain of any (simple) Rmodule is the smallest or largest possible. Er, LopezPermouth and ...