Theorems · Definition · commutative algebra

Algebra.TensorProduct.includeRight

{R : Type uR} →
  {A : Type uA} →
    {B : Type uB} →
      [inst : CommSemiring R] →
        [inst_1 : Semiring A] →
          [inst_2 : Algebra R A] → [inst_3 : Semiring B] → [inst_4 : Algebra R B] → B →ₐ[R] TensorProduct R A B

The algebra morphism B →ₐ[R] A ⊗[R] B sending b to 1 ⊗ₜ b.

Defined in

Mathlib.RingTheory.TensorProduct.Basic

Cited by

165 results in Mathlib

Foundations

Depth 78 from the axioms, rests on 983 definitions · uses propext, Quot.sound

Assumes

CommSemiringSemiringAlgebraSemiringAlgebra