Theorems · Definition · ring theory

Unitization.inrRangeEquiv

(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] →
              [inst_5 : IsScalarTower R A A] →
                [inst_6 : SMulCommClass R A A] →
                  A ≃⋆ₐ[R] ↥(NonUnitalStarAlgHom.range (Unitization.inrNonUnitalStarAlgHom R A))

The star algebra equivalence obtained by restricting Unitization.inrNonUnitalStarAlgHom to its range.

Defined in

Mathlib.Algebra.Algebra.Unitization

Cited by

4 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringStarAddMonoidNonUnitalSemiringStarModuleIsScalarTowerSMulCommClass