Theorems · Definition · ring theory

NonUnitalSubalgebra.unitization

{R : Type u_1} →
  {S : Type u_2} →
    {A : Type u_3} →
      [inst : CommSemiring R] →
        [inst_1 : Semiring A] →
          [inst_2 : Algebra R A] →
            [inst_3 : SetLike S A] →
              [hSA : NonUnitalSubsemiringClass S A] → [hSRA : SMulMemClass S R A] → (s : S) → Unitization R ↥s →ₐ[R] A

The natural R-algebra homomorphism from the unitization of a non-unital subalgebra into the algebra containing it.

Defined in

Mathlib.Algebra.Algebra.Subalgebra.Unitization

Cited by

3 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringAlgebraSetLikeNonUnitalSubsemiringClassSMulMemClass