Theorems · Definition · ring theory

StarAlgEquiv.toAlgEquiv

{R : Type u_6} →
  {A : Type u_7} →
    {B : Type u_8} →
      [inst : CommSemiring R] →
        [inst_1 : Semiring A] →
          [inst_2 : Semiring B] →
            [inst_3 : Algebra R A] →
              [inst_4 : Algebra R B] → [inst_5 : Star A] → [inst_6 : Star B] → (A ≃⋆ₐ[R] B) → A ≃ₐ[R] B

Interpret a ⋆-algebra equivalence as an algebra equivalence.

Defined in

Mathlib.Algebra.Star.StarAlgHom

Cited by

12 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringSemiringAlgebraAlgebraStarStar