Theorems · Definition · ring theory

AddMonoidAlgebra.liftNCRingHom

{k : Type u₁} →
  {G : Type u₂} →
    {R : Type u_2} →
      [inst : Semiring k] →
        [inst_1 : AddMonoid G] →
          [inst_2 : Semiring R] →
            (f : k →+* R) →
              (g : Multiplicative G →* R) →
                (∀ (x : k) (y : Multiplicative G), Commute (f x) (g y)) → AddMonoidAlgebra k G →+* R

liftNC as a RingHom, for when f and g commute

Defined in

Mathlib.Algebra.MonoidAlgebra.Lift

Cited by

1 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddMonoidSemiring