• Coefficient theorems of Birancon-Skoda type 

    Hosry, Aline (University of Missouri--Columbia, 2011)
    [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] The original Briancon-Skoda theorem, proved for the ring of convergent power series over the field $mathbb{C}$ of complex numbers, was later generalized ...
  • Uniform bounds in f-finite rings and their applications 

    Polstra, Thomas Marion (University of Missouri--Columbia, 2017)
    This dissertation establishes uniform bounds in characteristic p rings which are either F-finite or essentially of finite type over an excellent local ring. These uniform bounds are then used to show that the Hilbert-Kunz ...