The ideal class of 
,
where 
is a nontrivial ideal of 
and 
is the ring of integers of a number field 
, is denoted ![[A]](/images/equations/IdealClass/Inline6.svg)
and 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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Cite this as:
Weisstein, Eric W., with contributions by David Terr. "Ideal Class." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/IdealClass.html