Date of Award
Master of Arts in Mathematics
First Reader/Committee Chair
Dr. J. Paul Vicknair
This paper determines whether monoid rings with the two-generator property have the strong two-generator property. Dedekind domains have both the two-generator and strong two-generator properties. How common is this? Two cases are considered here: the zero-dimensional case and the one-dimensional case for monoid rings. Each case is looked at to determine if monoid rings that are not PIRs but are two-generated have the strong two-generator property. Full results are given in the zero-dimensional case, however only partial results have been found for the one-dimensional case.
Salt, Brittney M., "MONOID RINGS AND STRONGLY TWO-GENERATED IDEALS" (2014). Electronic Theses, Projects, and Dissertations. 31.