Theorems · Definition · ring theory

NonUnitalStarSubalgebraClass.subtype

{R : Type u} →
  {A : Type v} →
    [inst : CommSemiring R] →
      [inst_1 : NonUnitalNonAssocSemiring A] →
        [inst_2 : Star A] →
          [inst_3 : Module R A] →
            {S : Type w''} →
              [inst_4 : SetLike S A] →
                [inst_5 : NonUnitalSubsemiringClass S A] →
                  [hSR : SMulMemClass S R A] → [inst_6 : StarMemClass S A] → (s : S) → ↥s →⋆ₙₐ[R] A

Embedding of a non-unital star subalgebra into the non-unital star algebra.

Defined in

Mathlib.Algebra.Star.NonUnitalSubalgebra

Cited by

8 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringNonUnitalNonAssocSemiringStarModuleSetLikeNonUnitalSubsemiringClassSMulMemClassStarMemClass