Theorems · Definition · ring theory

Unitization.inrNonUnitalStarAlgHom

(R : Type u_1) →
  (A : Type u_2) →
    [inst : CommSemiring R] →
      [inst_1 : StarAddMonoid R] →
        [inst_2 : NonUnitalSemiring A] → [inst_3 : Star A] → [inst_4 : Module R A] → A →⋆ₙₐ[R] Unitization R A

The coercion from a non-unital R-algebra A to its unitization Unitization R A realized as a non-unital star algebra homomorphism.

Defined in

Mathlib.Algebra.Algebra.Unitization

Cited by

13 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringStarAddMonoidNonUnitalSemiringStarModule