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Theorems · Definition · commutative algebra

Perfection.pthRoot

(R : Type u_1) →
  [inst : CommSemiring R] →
    (p : ℕ) → [hp : Fact (Nat.Prime p)] → [inst_1 : CharP R p] → Perfection R p →+* Perfection R p

The p-th root of an element of the perfection. The preferred way to use this is (frobeniusEquiv (Perfection R p) p).symm.

Defined in
Mathlib.RingTheory.Perfection
Cited by
5 results in Mathlib
Foundations
Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringFactCharP

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Cited by5

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