Theorems · Definition · ring theory

StarAlgHom.toAlgHom

{R : Type u_1} →
  {A : Type u_2} →
    {B : Type u_3} →
      [inst : CommSemiring R] →
        [inst_1 : Semiring A] →
          [inst_2 : Algebra R A] →
            [inst_3 : Star A] →
              [inst_4 : Semiring B] → [inst_5 : Algebra R B] → [inst_6 : Star B] → (A →⋆ₐ[R] B) → A →ₐ[R] B

Reinterpret a unital star algebra homomorphism as a unital algebra homomorphism by forgetting the interaction with the star operation.

Defined in

Mathlib.Algebra.Star.StarAlgHom

Cited by

14 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

CommSemiringSemiringAlgebraStarSemiringAlgebraStar