The residue characteristic of a non-Archimedean local field
is the field characteristic of its residue
field
.
It is a prime number
. The field
itself may have field
characteristic 0 or
.
Residue Characteristic
See also
Field Characteristic, Local Field, Non-Archimedean Local Field, Residue FieldExplore with Wolfram|Alpha
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