Definition:Product of Fractional Ideals

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:
 * $\ds \set {\sum_{i \mathop = 1}^r a_i b_i : a_i \in I, b_i \in J, r \in \N}$

Also see

 * Product of Fractional Ideals is Fractional Ideal
 * Definition:Invertible Fractional Ideal

Special cases

 * Definition:Product of Ideals of Ring