Let 
be the number ring of a number
field 
with extension field degree ![[K:Q]=n](/images/equations/MinkowskisLemma/Inline3.svg)
and 
imaginary embeddings.
Then every ideal class of 
contains an ideal 
such that
 |
where 
denotes the norm of 
.
Minkowski's Lemma
This entry contributed by David Terr
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References
Marcus, D. A. Number Fields, 3rd ed. New York: Springer-Verlag, p. 137, 1996.Referenced on Wolfram|Alpha
Minkowski's LemmaCite this as:
Terr, David. "Minkowski's Lemma." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/MinkowskisLemma.html