Theorems · Definition · field theory

Polynomial.mapAlgHom

{R : Type u} →
  {A : Type z} →
    {B : Type u_2} →
      [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) → Polynomial A →ₐ[R] Polynomial B

Polynomial.map as an AlgHom for noncommutative algebras. This is the algebra version of Polynomial.mapRingHom.

Defined in

Mathlib.Algebra.Polynomial.AlgebraMap

Cited by

15 results in Mathlib

Foundations

Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringSemiringAlgebraAlgebra