Theorems · Definition · commutative algebra

IsAdjoinRoot.adjoinRootAlgEquiv

{R : Type u} →
  {S : Type v} →
    [inst : CommRing R] →
      [inst_1 : Ring S] → {f : Polynomial R} → [inst_2 : Algebra R S] → IsAdjoinRoot S f → AdjoinRoot f ≃ₐ[R] S

Algebra isomorphism with R[X]/(f).

Defined in

Mathlib.RingTheory.IsAdjoinRoot

Cited by

11 results in Mathlib

Foundations

Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingRingAlgebra