In a local ring , there is only one maximal ideal . Hence, has only one quotient ring which is a field. This field is called the residue field.
Residue Field
See also
Algebraic Geometry, Algebraic Number Theory, Local RingThis entry contributed by Todd Rowland
Explore with Wolfram|Alpha
Cite this as:
Rowland, Todd. "Residue Field." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ResidueField.html