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Fractional ideal
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{{Short description|Submodule of fractions in abstract algebra}} {{Ring theory sidebar}} In [[mathematics]], in particular [[commutative algebra]], the concept of '''fractional ideal''' is introduced in the context of [[integral domain]]s and is particularly fruitful in the study of [[Dedekind domain]]s. In some sense, fractional ideals of an integral domain are like [[ideal (ring theory)|ideal]]s where [[denominator]]s are allowed. In contexts where fractional ideals and ordinary [[ring ideal]]s are both under discussion, the latter are sometimes termed '''''integral ideals''''' for clarity.
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