Theorems · Definition · commutative algebra

PowerBasis.map

{R : Type u_1} →
  {S : Type u_2} →
    [inst : CommRing R] →
      [inst_1 : Ring S] →
        [inst_2 : Algebra R S] →
          {S' : Type u_7} →
            [inst_3 : CommRing S'] → [inst_4 : Algebra R S'] → PowerBasis R S → (S ≃ₐ[R] S') → PowerBasis R S'

PowerBasis.map pb (e : S ≃ₐ[R] S') is the power basis for S' generated by e pb.gen.

Defined in

Mathlib.RingTheory.PowerBasis

Cited by

7 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingRingAlgebraCommRingAlgebra