Theorems · Definition · commutative algebra
ZMod.algebra
(R : Type u_1) → [inst : Ring R] → (p : ℕ) → [CharP R p] → Algebra (ZMod p) R
The ZMod p-algebra structure on a ring of characteristic p. This is not an
instance since it creates a diamond with Algebra.id.
See note [reducible non-instances].
- Defined in
- Mathlib.Algebra.Algebra.ZMod
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Quot.sound
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.
Cited by5
Results whose statement or proof uses this declaration.
- WittVector.coeff_frobenius_charPproof · cited by 9
- FiniteField.natCard_extensionproof · cited by 2
- FiniteField.finrank_zmod_extensionproof · cited by 2
- Polynomial.cyclotomic_mul_prime_dvd_eq_powproof · cited by 1
- Polynomial.cyclotomic_mul_prime_eq_pow_of_not_dvdproof · cited by 0