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Residue Field


In a local ring R, there is only one maximal ideal m. Hence, R has only one quotient ring R/m 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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Cite this as:

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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