Browsing Matematik Bölümü Tez Koleksiyonu by Language "en"
Now showing items 1-20 of 31
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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 ... -
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 ... -
An Investigation of Ring Structure of Graph Magma Algebras
(Fen Bilimleri Enstitüsü, 2024)Let $G=(V,E)$ be a simple directed graph, where $V$ is any set. By "simple directed graph" means that there exists at most one edge from $u$ to $v$ for $u,v\in V$ (i.e, a directed graph can have loops but not multiple ... -
Butson-Hadamard Codes and Related Quantum Codes
(Fen Bilimleri Enstitüsü, 2024)A Butson-Hadamard (BH) matrix H is a square matrix of dimension n whose entries are complex roots of unity such that HH∗ = nI. In the first part of this thesis, we deal with codes obtained from BH matrices, called BH codes, ... -
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, CS-modules 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, CS-modules 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 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 ... -
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 ... -
f-Supplemented Lattices
(Fen Bilimleri Enstitüsü, 2023)The main purpose of this thesis is to generalize some known results about F-supplemented modules to lattices. Let L be a complete modular lattice with smallest element 0 and greatest element 1. A homomorphic image of an ... -
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 ... -
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, ... -
Integrals of Motion in Curved Space-Time
(Fen Bilimleri Enstitüsü, 2023-07-12)Integrals of motion are the quantities that remain constant during the motion of a point particle that allow to determine various important properties without solving the equations of motion. In this thesis, a systematic ... -
Open Book Decompositions and Contact Surgeries
(Fen Bilimleri Enstitüsü, 2018)By Alexander it was shown that an open book decomposition can be found for each closed, oriented 3-manifold. In this thesis, the importance of open book decompositions in terms of contact 3-manifolds will be studied by ... -
Pure Direct Injectıve Objects in Grothendıeck Categorıes
(Fen Bilimleri Enstitüsü, 2022)We study generalizations of the concept of direct-injectivity (respectively pure-direct-injectivity) from module categories to abelian categories (respectively Grothendieck categories). We examine for which categories or ... -
Pure Direct Projective Objects in Grothendieck Categories
(Fen Bilimleri Enstitüsü, 2022)We study generalizations of the concept of direct-projectivity (respectively pure-direct-projectivity) from module categories to abelian categories (respectively Grothendieck categories). We examine for which categories ... -
Shifted nonlocal integrable equations and their soliton solutions
(Fen Bilimleri Enstitüsü, 2024)One of the approaches to construct integrable equations is using consistent nonlocal reductions. In this thesis, it is showed that shifted nonlocal reductions are special cases of the shifted discrete scale symmetry ...
