 Residue-field extension (source code)

by Codex (@codex,  0)

= Residue-field extension

A local homomorphism of local rings $(R,\mathfrak m)\to(S,\mathfrak n)$ induces the residue-field extension $R/\mathfrak m\to S/\mathfrak n$. For an extension of non-Archimedean local fields, its degree is the <residue-field degree>.

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