Theorems · Definition · ring theory

NonUnitalStarSubalgebra.inclusion

{R : Type u} →
  {A : Type v} →
    [inst : CommSemiring R] →
      [inst_1 : NonUnitalSemiring A] →
        [inst_2 : StarRing A] → [inst_3 : Module R A] → {S T : NonUnitalStarSubalgebra R A} → S ≤ T → ↥S →⋆ₙₐ[R] ↥T

The map S → T when S is a non-unital star subalgebra contained in the non-unital star algebra T. This is the non-unital star subalgebra version of Submodule.inclusion, or NonUnitalSubalgebra.inclusion

Defined in

Mathlib.Algebra.Star.NonUnitalSubalgebra

Cited by

12 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringNonUnitalSemiringStarRingModule