• Dedekind Asal Halkalar ve Genelleştirmeleri 

      Koçak, Gözde (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 

      Kayıkçı, Burcu (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 

      Sayın, Umut (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 

      Yılmaz, Tunahan (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 

      Korkmaz, Esra (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 

      Vural, Akif (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 

      Hasman, Şule (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 

      Dilaver, Gökçen (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 

      Zeybek, Hatice (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 

      Çağlar, Deniz Halim (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 

      İlhan, Hacer (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 ...
    • İDEAL VE MODÜL İNDİRGEMELERİ 

      AKIN, MERVE (Fen Bilimleri Enstitüsü, 2017)
      In Commutative Algebra, there have been numerous significant contributions for understanding growth of ideals. Research in this direction is mostly based on the concept of Hilbert-Samuel polynomials. In fact, given an ...
    • Kademeli Halkalar, Modüller ve Çokkatlılık 

      Acar, Damla (Fen Bilimleri Enstitüsü, 2017-04-14)
      This thesis is based on a research over graded rings and graded modules as well as some related ideas which are of particular importance especially to the areas Algebra and Geometry. An important concept related to graded ...
    • Kuasilineer Dalga Denkleminin Uzun Zaman Davranışı 

      Şen, Zehra (Fen Bilimleri Enstitüsü, 2018)
      In this thesis, we concern the long time behaviours of the one dimensional strongly damped nonlinear wave equation u_tt-u_txx-∂/∂x (|u_x |^(p-2) u_x )+f(u)=g(x) (1) in bounded domain and the one dimensional strongly ...
    • Legendre Düğümlerin Değişmezleri 

      Sarıoğlan, Samet (Fen Bilimleri Enstitüsü, 2014)
      A knot that is everywhere tangent to the contact planes is called a Legendrian knot. There are two types of Legendrian knots in overtwisted contact 3-manifolds: Loose and non-loose Legendrian knots. In the thesis, we study ...
    • Legendre Düğümlerinin Sınıflandırılması 

      Pekavcılar, Berna (Fen Bilimleri Enstitüsü, 2017)
      A contact structure on a 3-manifold is a maximally non-integrable 2-plane field distributed all over the 3-manifold. There are two types of contact structures on 3-manifolds: tight and overtwisted. Knots that are everywhere ...
    • Lineer Olmayan Kısmi Diferansiyel Denklemlerin Backlund Dönüşümleri 

      Kar, Nurdan (Fen Bilimleri Enstitüsü, 2018)
      In this thesis, it is studied how the B¨acklund transformations of nonlinear partial differential equations are obtained and deriving new solutions from the known solutions by using these transformations with the ...
    • Morfizmalar Yardımıyla Tanımlanan Bazı Halka ve Modül Yapıları 

      Altun, Meltem (Fen Bilimleri Enstitüsü, 2013)
      Let M ve N be R-modules. Recent works have shown that some structures of the ring and module theory can be carried out in the context of Hom(M,N), the abelian group of all morphisms of M into N. The aim of this thesis is ...
    • Newton Metodundan Elde Edilen Rasyonel Fonksiyonların Dinamiği ve Geometrisi 

      Yüceer, Abdüsselam (Fen Bilimleri Enstitüsü, 2017-03)
      In this study a new iterative method is introduced, aims to find all roots of complex polynomials with help of Newton’s method. There are methods similar to this one, their degrees are introduced by Sutherland in 1989 ...
    • Open Book Decompositions and Contact Surgeries 

      Yıldırım, Yasemin (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 ...