Theorems · Definition · ring theory

Coalgebra.TensorProduct.rid

(R : Type u_5) →
  (S : Type u_6) →
    (M : Type u_7) →
      [inst : CommSemiring R] →
        [inst_1 : CommSemiring S] →
          [inst_2 : Algebra R S] →
            [inst_3 : AddCommMonoid M] →
              [inst_4 : Module R M] →
                [inst_5 : Module S M] →
                  [inst_6 : IsScalarTower R S M] → [inst_7 : Coalgebra S M] → TensorProduct R M R ≃ₗc[S] M

The base ring is a right identity for the tensor product of coalgebras, up to coalgebra equivalence.

Defined in

Mathlib.RingTheory.Coalgebra.TensorProduct

Cited by

6 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringCommSemiringAlgebraAddCommMonoidModuleModuleIsScalarTowerCoalgebra