Theorems · Definition · commutative algebra

Module.Basis.traceDual

{K : Type u_4} →
  {L : Type u_5} →
    [inst : Field K] →
      [inst_1 : Field L] →
        [inst_2 : Algebra K L] →
          {ι : Type w} →
            [FiniteDimensional K L] →
              [Algebra.IsSeparable K L] → [Finite ι] → [DecidableEq ι] → Module.Basis ι K L → Module.Basis ι K L

The dual basis of a basis under the trace form in a finite separable extension.

Defined in

Mathlib.RingTheory.Trace.Basic

Cited by

12 results in Mathlib

Foundations

Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebraFiniteDimensionalAlgebra.IsSeparableFiniteDecidableEq