Theorems · Definition · ring theory

StarAlgEquiv.toStarRingEquiv

{R : Type u_1} →
  {A : Type u_2} →
    {B : Type u_3} →
      [inst : Add A] →
        [inst_1 : Add B] →
          [inst_2 : Mul A] →
            [inst_3 : Mul B] →
              [inst_4 : SMul R A] →
                [inst_5 : SMul R B] → [inst_6 : Star A] → [inst_7 : Star B] → (A ≃⋆ₐ[R] B) → A ≃⋆+* B

Reinterpret a star algebra equivalence as a StarRingEquiv by forgetting the interaction with the scalar multiplication.

Defined in

Mathlib.Algebra.Star.StarAlgHom

Cited by

14 results in Mathlib

Foundations

Depth 2 from the axioms · uses no axioms

Assumes

AddAddMulMulSMulSMulStarStar