Browsing Mathematics Doctoral Work by Title

Now showing items 25-30 of 30

    • Ramification and Infinite Extensions of Dedekind Domains 

      Hashbarger, Carl Stanley (North Dakota State University, 2010)
      This dissertation presents methods for determining the behavior of prime ideals m an integral extension of a Dedekind domain. One tool used to determine this behavior is an algorithm that computes which prime ideals ...

    • Semidualizing DG Modules over Tensor Products 

      Altmann, Hannah Lee (North Dakota State University, 2015)
      In this dissertation, we study rings: sets with addition, subtraction, and multiplication. One way to study a ring is by studying its modules: the algebraic objects the ring acts on. Since it is impractical to study all ...

    • Sign Matrix Polytopes 

      Solhjem, Sara Louise (North Dakota State University, 2018)
      Motivated by the study of polytopes formed as the convex hull of permutation matrices and alternating sign matrices, several new families of polytopes are defined as convex hulls of sign matrices, which are certain ...

    • Some Results on Semicrossed Products and Related Operator Algebras 

      Duchsherer, Melissa (North Dakota State University, 2021)
      We investigate various properties of two classes of operator algebras: directed graph operator algebras and semicrossed products. First we consider analytic structure in the form of derivations and point derivations on ...

    • 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 ...

    • 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 ...