Theorems · Definition · ring theory

StarSubalgebra.inclusion

{R : Type u_2} →
  {A : Type u_3} →
    [inst : CommSemiring R] →
      [inst_1 : StarRing R] →
        [inst_2 : Semiring A] →
          [inst_3 : StarRing A] →
            [inst_4 : Algebra R A] → [inst_5 : StarModule R A] → {S₁ S₂ : StarSubalgebra R A} → S₁ ≤ S₂ → ↥S₁ →⋆ₐ[R] ↥S₂

The inclusion map between StarSubalgebras given by Subtype.map id as a StarAlgHom.

Defined in

Mathlib.Algebra.Star.Subalgebra

Cited by

9 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringStarRingSemiringStarRingAlgebraStarModule