Theorems · Definition · ring theory

Subalgebra.map

{R : Type u} →
  {A : Type v} →
    {B : Type w} →
      [inst : CommSemiring R] →
        [inst_1 : Semiring A] →
          [inst_2 : Algebra R A] →
            [inst_3 : Semiring B] → [inst_4 : Algebra R B] → (A →ₐ[R] B) → Subalgebra R A → Subalgebra R B

Transport a subalgebra via an algebra homomorphism.

Defined in

Mathlib.Algebra.Algebra.Subalgebra.Basic

Cited by

90 results in Mathlib

Foundations

Depth 25 from the axioms · uses no axioms

Assumes

CommSemiringSemiringAlgebraSemiringAlgebra