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Ideal Class


Let K be a number field with ring of integers R and let A be a nontrivial ideal of R. Then the ideal class of A, denoted [A], is the set of fractional ideals B such that there exists a nonzero element alpha of K such that B=alphaA.


See also

Class Group, Ideal, Minkowski's Lemma, Number Field, Number Ring

This entry contributed by David Terr

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Cite this as:

Terr, David. "Ideal Class." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/IdealClass.html

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