English
The iterated Frobenius automorphism is defined by composing the base Frobenius automorphism n times.
Русский
Итеративный Фробениус-автоморфизм задаётся как композиция базового Фробениуса n раз.
LaTeX
$$iterateFrobeniusEquiv R p n : R ≃+* R$$
Lean4
/-- The iterated Frobenius automorphism for a perfect ring. -/
@[simps! apply]
noncomputable def iterateFrobeniusEquiv : R ≃+* R :=
RingEquiv.ofBijective (iterateFrobenius R p n) (bijective_iterateFrobenius R p n)