Definition:Product of Fractional Ideals
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Definition
Let $R$ be an integral domain with fraction field $K$.
Let $I, J \subseteq K$ be fractional ideals of $R$.
The product of $I$ and $J$ is the set of summations:
- $\ds \set {\sum_{i \mathop = 1}^r a_i b_i : a_i \in I, b_i \in J, r \in \N}$
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