Theorems · Definition · ring theory

BialgHom.rTensor

{R : Type u_1} →
  (A : Type u_2) →
    {B : Type u_3} →
      {C : Type u_4} →
        [inst : CommRing R] →
          [inst_1 : Ring A] →
            [inst_2 : Ring B] →
              [inst_3 : Ring C] →
                [inst_4 : Bialgebra R A] →
                  [inst_5 : Bialgebra R B] →
                    [inst_6 : Bialgebra R C] → (B →ₐc[R] C) → TensorProduct R B A →ₐc[R] TensorProduct R C A

rTensor A f : B ⊗ A →ₐc C ⊗ A is the natural bialgebra morphism induced by f : B →ₐc C.

Defined in

Mathlib.RingTheory.Bialgebra.TensorProduct

Cited by

2 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Quot.sound

Assumes

CommRingRingRingRingBialgebraBialgebraBialgebra