Browsing by Subject "Integral domains."

Now showing items 1-2 of 2

    • Atomicity in Rings with Zero Divisors 

      Trentham, Stacy Michelle (North Dakota State University, 2011)
      In this dissertation, we examine atomicity in rings with zero divisions. We begin by examining the relationship between a ring’s level of atomicity and the highest level of irreducibility shared by the ring’s irreducible ...

    • 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 ...