liftNCAlgHom — Mathlib

English

The construction liftNCAlgHom provides a canonical algebra homomorphism from the same data and is compatible with the forgetful functor.

Русский

Конструкция liftNCAlgHom задаёт канонический алгебра-гомоморфизм и совместима с забывающим функтором.

LaTeX

$$liftNCAlgHom f g h_comm : MonoidAlgebra A G →ₐ[k] B$$

Lean4

/-- `liftNCRingHom` as an `AlgHom`, for when `f` is an `AlgHom` -/
def liftNCAlgHom (f : A →ₐ[k] B) (g : G →* B) (h_comm : ∀ x y, Commute (f x) (g y)) : MonoidAlgebra A G →ₐ[k] B :=
  { liftNCRingHom (f : A →+* B) g h_comm with commutes' := by simp [liftNCRingHom] }

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