Theorems · Definition · ring theory

BialgHom.toAlgHom

{R : Type u_1} →
  {A : Type u_2} →
    {B : Type u_3} →
      [inst : CommSemiring R] →
        [inst_1 : Semiring A] →
          [inst_2 : Semiring B] →
            [inst_3 : Algebra R A] →
              [inst_4 : Algebra R B] →
                [inst_5 : CoalgebraStruct R A] → [inst_6 : CoalgebraStruct R B] → (A →ₐc[R] B) → A →ₐ[R] B

Turn a bialgebra homomorphism into an algebra homomorphism.

Defined in

Mathlib.RingTheory.Bialgebra.Hom

Cited by

38 results in Mathlib

Foundations

Depth 68 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringSemiringAlgebraAlgebraCoalgebraStructCoalgebraStruct