Theorems · Definition · commutative algebra
iterateFrobenius
(R : Type u_3) → [inst : CommSemiring R] → (p : ℕ) → ℕ → [ExpChar R p] → R →+* R
The iterated Frobenius map x ↦ x ^ p ^ n.
- Defined in
- Mathlib.Algebra.CharP.Lemmas
- Cited by
- 39 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringExpChar
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- MonoidHomproof · cited by 3,629
- ExpCharstatement and proof · cited by 276
- powMonoidHomproof · cited by 35
- add_pow_expChar_powproof · cited by 1
Cited by42
Results whose statement or proof uses this declaration.
- iterateFrobeniusEquivproof · cited by 28
- iterateFrobenius_onestatement · cited by 7
- iterateFrobenius_defstatement · cited by 6
- iterateFrobenius_injstatement and proof · cited by 4
- IsPurelyInseparable.iterateFrobeniusₛₗstatement · cited by 3
- iterateFrobeniusEquiv_applystatement · cited by 3
- iterateFrobenius_addstatement · cited by 3
- iterateFrobenius_zerostatement · cited by 3
- iterateFrobenius.congr_simpstatement and proof · cited by 3
- coe_iterateFrobeniusstatement · cited by 2
- iterateFrobenius_add_applystatement · cited by 2
- Polynomial.roots_expand_pow_map_iterateFrobenius_lestatement and proof · cited by 2