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Browsing Matematik by Author "Beyarslan, Özlem."

Browsing Matematik by Author "Beyarslan, Özlem."

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  • Definable sets over finite fields 
    Güner, Kadir Güray. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2013., 2013.)
    Counting the number of points of an algebraic set over a finite field has been studied by Hasse [1], Lang and Weil [2], and is an important theme in algebra. In this thesis, we present the results found by Chatzidakis, van ...
  • Monogenic number fields 
    Değirmenci, Pınar. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2022., 2022)
    Determining whether the ring of integers OK of an algebraic number field K of degree n admits a power integral basis is one of the classic problems in algebraic number theory. In other words, we want to determine whether ...
  • O-minimal structures 
    Pehlivan, Cihan. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2011., 2011.)
    IfMis a o-minimal expansion of ordered eld of reals which contains a de nable function which can not dominated by polynomials, then exponential function appears as a de nable function. In this study rstly we introduce ...
  • The question of model companionability : positive and negative answers 
    Berksoy, Feyza Nur. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2022., 2022)
    Model companion ofa universal theory T is the axiomatization of the existentially closed models of T. This thesis studies the concept of model companionability of theories. We present examples of model companions of certain ...

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