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Conductors And Rings With Shared Ideals, Sydney Maibach
Conductors And Rings With Shared Ideals, Sydney Maibach
All Theses
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.