Module

KummerAlgebra.lean

Nyll.ClassFieldTheory.Definitions.HilbertSymbols.KummerAlgebra
1 declaration indexed from sourceView source ↗

Canonical Kummer algebras

Declarations

ClassFieldTheory.KummerAlgebra

The Kummer algebra K[X] / (X^n - a). It remains canonical when the polynomial is reducible, so no root in a chosen closure is required.

Source context 2 commands

Surrounding namespaces, section variables, and local commands at this declaration.

namespace ClassFieldTheory
universe u
abbrev KummerAlgebra
    (K : Type u) [Field K] (n : ℕ+) (a : Kˣ)