Mathematics Doctoral Work: Recent submissions

Now showing items 21-31 of 31

    • The Half-Factorial Property in Polynomial Rings 

      Batell, Mark Thomas (North Dakota State University, 2014)
      This dissertation investigates the following question: If R is a half-factorial domain (HFD) and x is an indeterminate, under what conditions is the polynomial ring R[x] an HFD? The question has been answered in a few ...

    • Ideal Graphs 

      Al-Kaseasbeh, Saba Zakariya (North Dakota State University, 2014)
      In this dissertation, we explore various types of graphs that can be associated to a commutative ring with identity. In particular, if R is a commutative ring with identity, we consider a number of graphs with the vertex ...

    • Variational Methods for Polycrystal Plasticity and Related Topics in Partial Differential Equations 

      Abdullayev, Farhod (North Dakota State University, 2013)
      In the first part of the thesis the effective yield set of ionic polycrystals is characterized by means of variational principles in L∞ that are associated to supremal functionals acting on matrix-valued divergence-free ...

    • DG Homological Algebra, Properties of Ring Homomorphisms, and the Generalized Auslander-Reiten Conjecture 

      Nasseh, Saeed (North Dakota State University, 2013)
      This dissertation contains three aspects of my research that are listed as three joint papers with my advisor and a solo paper in the bibliography [56]--[59]. Each paper will be discussed in a different chapter. Chapter 1 ...

    • Codualizing Modules and Complexes 

      Wicklein, Richard Kenneth (North Dakota State University, 2013)
      See dissertation for full abstract and properly formatted mathematical formulas.

    • Almost Dedekind Domains and Atomicity 

      Hasenauer, Richard Erwin (North Dakota State University, 2012)
      The objective of this dissertation was to determine the class of domains that are both almost Dedekind and atomic. To investigate this question we constructed a global object called the norm, and used it to determine ...

    • NAK for Ext, Ascent of Module Structures, and the Blindness of Extended Modules 

      Anderson, Benjamin John (North Dakota State University, 2012)
      This dissertation investigates the interplay between properties of Ext modules and ascent of module structures along ring homomorphisms. First, we consider a flat local ring homomorphism ϕ: (R, [special characters omitted], ...

    • Subfractals Induced by Subshifts 

      Sattler, Elizabeth (North Dakota State University, 2016)
      In this thesis, a subfractal is the subset of points in the attractor of an iterated function system in which every point in the subfractal is associated with an allowable word from a subshift on the underlying symbolic ...

    • Optimization Problems Arising in Stability Analysis of Discrete Time Recurrent Neural Networks 

      Singh, Jayant (North Dakota State University, 2016)
      We consider the method of Reduction of Dissipativity Domain to prove global Lyapunov stability of Discrete Time Recurrent Neural Networks. The standard and advanced criteria for Absolute Stability of these essentially ...

    • Modeling Swap and Geophysical Analysis using Barndorff-Nielson and Shephard Model 

      Habtemicael, Semere Kidane (North Dakota State University, 2015)
      Video summarizing Ph.D. dissertation for a non-specialist audience.

    • Homological Dimensions with Respect to a Semidualizing Complex 

      Totushek, Jonathan (North Dakota State University, 2015)
      See Dissertation Document for Full Abstract (Mathematical Symbols Included)