Theorems · Definition · nonassociative algebras

NonUnitalSubalgebra.inclusion

{R : Type u} →
  {A : Type v} →
    [inst : CommSemiring R] →
      [inst_1 : NonUnitalNonAssocSemiring A] →
        [inst_2 : Module R A] → {S T : NonUnitalSubalgebra R A} → S ≤ T → ↥S →ₙₐ[R] ↥T

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

Defined in

Mathlib.Algebra.Algebra.NonUnitalSubalgebra

Cited by

12 results in Mathlib

Foundations

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

Assumes

CommSemiringNonUnitalNonAssocSemiringModule