Theorems · Theorem · ring theory

Unitization.starAlgHom_ext_iff

∀ {R : Type u_1} {A : Type u_2} {C : Type u_3} [inst : CommSemiring R] [inst_1 : StarRing R]
  [inst_2 : NonUnitalSemiring A] [inst_3 : StarRing A] [inst_4 : Module R A] [inst_5 : SMulCommClass R A A]
  [inst_6 : IsScalarTower R A A] [inst_7 : Semiring C] [inst_8 : Algebra R C] [inst_9 : StarRing C]
  {φ ψ : Unitization R A →⋆ₐ[R] C},
  φ = ψ ↔ (↑φ).comp (Unitization.inrNonUnitalStarAlgHom R A) = (↑ψ).comp (Unitization.inrNonUnitalStarAlgHom R A)

Defined in

Mathlib.Algebra.Algebra.Unitization

Cited by

0 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringStarRingNonUnitalSemiringStarRingModuleSMulCommClassIsScalarTowerSemiringAlgebraStarRing