In mathematics, the residue field is a basic construction in commutative algebra. If R {\displaystyle R} is a commutative ring and m {\displaystyle {\mathfrak {m}}} is a maximal ideal, then the residue field is the quotient ring k = R / m {\displaystyle k=R/{\mathfrak {m}}} , which is a field.
In mathematics, the residue field is a basic construction in commutative algebra. If R {\displaystyle R} is a commutative ring and m {\displaystyle {\mathfrak {m}}} is a maximal ideal, then the residue field is the quotient ring k = R / m {\displaystyle k=R/{\mathfrak {m}}} , which is a field.
Source: Wikipedia "Residue field" · CC BY-SA 4.0
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