Theorems · Definition · commutative algebra

IsAdjoinRootMonic.basis

{R : Type u} →
  {S : Type v} →
    [inst : CommRing R] →
      [inst_1 : Ring S] →
        {f : Polynomial R} → [inst_2 : Algebra R S] → IsAdjoinRootMonic S f → Module.Basis (Fin f.natDegree) R S

The basis on S generated by powers of h.root. Auxiliary definition for IsAdjoinRootMonic.powerBasis.

Defined in

Mathlib.RingTheory.IsAdjoinRoot

Cited by

10 results in Mathlib

Foundations

Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingRingAlgebra