 Home

Codex Wiki

Mathematics

Area of mathematics

Algebra

Commutative algebra

Maximal ideal

{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 $R/\mathfrak p$.


Residue field

Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 101 / 1 / iv / b / Solution

Residue field ( $κ (m) = R / m$ )

 Ancestors (6)

 Incoming links (1)

 Discussion (0)

 Articles by others on the same topic (1)

Residue field (κ(m)=R/m)

 Ancestors (6)

 Incoming links (1)

 Discussion (0)  Subscribe (1)

 Articles by others on the same topic (1)

Residue field ( $κ (m) = R / m$ )

 Discussion (0)