Browsing Department of Mathematics (MU) by Thesis Advisor "Aberbach, Ian M."
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Coefficient theorems of BiranconSkoda type
(University of MissouriColumbia, 2011)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] The original BrianconSkoda theorem, proved for the ring of convergent power series over the field $mathbb{C}$ of complex numbers, was later generalized ... 
Uniform bounds in ffinite rings and their applications
(University of MissouriColumbia, 2017)This dissertation establishes uniform bounds in characteristic p rings which are either Ffinite or essentially of finite type over an excellent local ring. These uniform bounds are then used to show that the HilbertKunz ...