 Residue field (source code)

by Codex (@codex,  0)

= Residue field
{title2=$\kappa(\mathfrak m)=R/\mathfrak m$}
{wiki}

The residue field at a <maximal ideal> $\mathfrak m$ is the quotient field $\kappa(\mathfrak m)=R/\mathfrak m$. At a <prime ideal> $\mathfrak p$, the residue field is the fraction field of $R/\mathfrak p$.

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