Browsing University of Colorado Colorado Springs by Author "Abrams, Gene"
Author(s):Karn, Jacob Daniel
Date Submitted:2018-08In this thesis, we consider two questions. First, let R be a commutative ring with identity. Suppose the collection of prime ideals of R is closed under ideal multiplication. What does this condition imply about the ideal ...
Author(s):Jones, Matthew Michael
Date Submitted:2016-12Many set-theoretic axioms have been formulated over the years which imply (along with the other axioms for set theory) the existence of what one would intuitively regard as an infinite set. In this thesis, we identify a ...
Date Submitted:2016-05By a classical result, for any field F and a positive integer n, a matrix in Mn(F) is a commutator if only and if it has trace zero. This is no longer true if F is replaced with an arbitrary ring R. But the only known ...