Theorems · Definition · ring theory

StarAlgEquiv.toStarAlgHom

{R : Type u_1} →
  {A₁ : Type u_2} →
    {A₂ : Type u_3} →
      [inst : CommSemiring R] →
        [inst_1 : Semiring A₁] →
          [inst_2 : Semiring A₂] →
            [inst_3 : Algebra R A₁] →
              [inst_4 : Algebra R A₂] → [inst_5 : Star A₁] → [inst_6 : Star A₂] → (A₁ ≃⋆ₐ[R] A₂) → A₁ →⋆ₐ[R] A₂

Reintrepret a star algebra equivalence as a star algebra homomorphism.

Defined in

Mathlib.Algebra.Star.StarAlgHom

Cited by

9 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringSemiringAlgebraAlgebraStarStar