Let be a number field with ring of integers and let be a nontrivial ideal of . Then the ideal class of , denoted , is the set of fractional ideals such that there exists a nonzero element of such that .
Ideal Class
See also
Class Group, Ideal, Minkowski's Lemma, Number Field, Number RingThis entry contributed by David Terr
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Terr, David. "Ideal Class." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/IdealClass.html