Theorems · Definition · ring theory

NonUnitalStarAlgHom.toNonUnitalAlgHom

{R : Type u_1} →
  {A : Type u_2} →
    {B : Type u_3} →
      [inst : Monoid R] →
        [inst_1 : NonUnitalNonAssocSemiring A] →
          [inst_2 : DistribMulAction R A] →
            [inst_3 : Star A] →
              [inst_4 : NonUnitalNonAssocSemiring B] →
                [inst_5 : DistribMulAction R B] → [inst_6 : Star B] → (A →⋆ₙₐ[R] B) → A →ₙₐ[R] B

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

Defined in

Mathlib.Algebra.Star.StarAlgHom

Cited by

11 results in Mathlib

Foundations

Depth 7 from the axioms · uses no axioms

Assumes

MonoidNonUnitalNonAssocSemiringDistribMulActionStarNonUnitalNonAssocSemiringDistribMulActionStar