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Reference.org
Fractional ideal
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, in particular <a href="/facts/Commutative_algebra/mKtUdPCT">commutative algebra</a>, the concept of fractional ideal is introduced in the context of <a href="/facts/Integral_domain/cylt6zxW">integral domains</a> and is particularly fruitful in the study of <a href="/facts/Dedekind_domain/tAsvAcaW">Dedekind domains</a>. In some sense, fractional ideals of an integral domain are like <a href="/facts/Ideal_(ring_theory)/vCvytduX">ideals</a> where <a href="/facts/Denominator/ghnQE9B3">denominators</a> are allowed. In contexts where fractional ideals and ordinary <a href="/facts/Ring_ideal/vCvytduX">ring ideals</a> are both under discussion, the latter are sometimes termed <i>integral ideals</i> for clarity. </p>