Theorems · Definition · ring theory

AlgHom.toRingHom

{R : Type u} →
  {A : Type v} →
    {B : Type w} →
      [inst : CommSemiring R] →
        [inst_1 : Semiring A] →
          [inst_2 : Semiring B] → [inst_3 : Algebra R A] → [inst_4 : Algebra R B] → (A →ₐ[R] B) → A →+* B

Reinterpret an AlgHom as a RingHom

Defined in

Mathlib.Algebra.Algebra.Hom

Cited by

490 results in Mathlib

Foundations

Depth 11 from the axioms, rests on 84 definitions · uses no axioms

Assumes

CommSemiringSemiringSemiringAlgebraAlgebra