Definition:Fractional Ideal

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Definition

Let $R$ be an integral domain with field of fractions $K$.


A fractional ideal of $R$ is a subset of $K$ that is a product of an ideal $I$ with the inverse $\lambda^{-1}$ of an element of $R$:

$\lambda^{-1} I = \left\{ {\lambda^{-1} a : a \in I}\right\}$


Also see