Theorems · Definition · ring theory

NonUnitalStarAlgHom.fst

(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 × B →⋆ₙₐ[R] A

The first projection of a product is a non-unital ⋆-algebra homomorphism.

Defined in

Mathlib.Algebra.Star.StarAlgHom

Cited by

5 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Quot.sound

Assumes

MonoidNonUnitalNonAssocSemiringDistribMulActionStarNonUnitalNonAssocSemiringDistribMulActionStar