Theorems · Definition · commutative algebra

PiTensorProduct.singleAlgHom

{ι : Type u_1} →
  {R : Type u_3} →
    {A : ι → Type u_4} →
      [inst : CommSemiring R] →
        [inst_1 : (i : ι) → Semiring (A i)] →
          [inst_2 : (i : ι) → Algebra R (A i)] → [DecidableEq ι] → (i : ι) → A i →ₐ[R] PiTensorProduct R fun i => A i

The map Aᵢ ⟶ ⨂ᵢ Aᵢ given by a ↦ 1 ⊗ ... ⊗ a ⊗ 1 ⊗ ...

Defined in

Mathlib.RingTheory.PiTensorProduct

Cited by

3 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringAlgebraDecidableEq