Date of Award
8-2022
Document Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematical Sciences
Committee Chair/Advisor
Dr. jim Coykendall
Committee Member
Dr. Michael Burr
Committee Member
Dr. Hui Xue
Abstract
Given an additive subgroup $I$ of a field $K$, we define the colon ideal (I:I) = {\alpha \in K: \alpha I \subseteq I}. We then use this to construct collections of rings with shared ideals and explore relationships between these concepts and the complete integral closure.
Recommended Citation
Maibach, Sydney, "Conductors and Rings with Shared Ideals" (2022). All Theses. 3837.
https://tigerprints.clemson.edu/all_theses/3837