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Residue Characteristic


The residue characteristic of a non-Archimedean local field K is the field characteristic of its residue field O_K/m_K. It is a prime number p. The field K itself may have field characteristic 0 or p.


See also

Field Characteristic, Local Field, Non-Archimedean Local Field, Residue Field

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References

Serre, J.-P. Local Fields. New York: Springer-Verlag, 1979.

Cite this as:

Weisstein, Eric W. "Residue Characteristic." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ResidueCharacteristic.html

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