Residue Field

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.

See also

Algebraic Geometry, Algebraic Number Theory, Local Ring

This entry contributed by Todd Rowland

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Rowland, Todd. "Residue Field." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ResidueField.html

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