Theorems · Definition · ring theory

Bialgebra.Quotient.mkBialgHom

{R : Type u_1} →
  {A : Type u_2} →
    [inst : CommRing R] →
      [inst_1 : Ring A] →
        [inst_2 : Bialgebra R A] →
          (I : Ideal A) →
            [inst_3 : I.IsTwoSided] → [inst_4 : (Submodule.restrictScalars R I).IsCoideal] → A →ₐc[R] A ⧸ I

Ideal.Quotient.mkₐ as a bialgebra homomorphism.

Defined in

Mathlib.RingTheory.Bialgebra.Quotient

Cited by

1 results in Mathlib

Foundations

Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingRingBialgebraIdeal.IsTwoSidedSubmodule.IsCoideal