Date of Award


Document Type


Degree Name

Master of Science (MS)


Mathematical Sciences

Committee Chair/Advisor

Dr. jim Coykendall

Committee Member

Dr. Michael Burr

Committee Member

Dr. Hui Xue


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.

Included in

Algebra Commons



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