Theorems · Definition · ring theory

SubalgebraClass.val

{S : Type u_1} →
  {R : Type u_2} →
    {A : Type u_3} →
      [inst : CommSemiring R] →
        [inst_1 : Semiring A] →
          [inst_2 : Algebra R A] →
            [inst_3 : SetLike S A] → [inst_4 : SubsemiringClass S A] → [hSR : SMulMemClass S R A] → (s : S) → ↥s →ₐ[R] A

Embedding of a subalgebra into the algebra, as an algebra homomorphism.

Defined in

Mathlib.Algebra.Algebra.Subalgebra.Basic

Cited by

3 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringAlgebraSetLikeSubsemiringClassSMulMemClass