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Theorems · Definition · commutative algebra

Perfection.mapMonoidHom

(p : ℕ) →
  {M : Type u_2} →
    {N : Type u_3} → [inst : CommMonoid M] → [inst_1 : CommMonoid N] → (M →* N) → Perfection M p →* Perfection N p

A monoid homomorphism M →* N induces Perfection M p →* Perfection N p.

Defined in
Mathlib.RingTheory.Perfection
Cited by
4 results in Mathlib
Foundations
Depth 27 from the axioms · uses propext, Quot.sound
Assumes
CommMonoidCommMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Perfection.quotientMulEquiv · cited by 2Perfection.quotientMulEqu…Perfection.map · cited by 2Perfection.mapPerfection.coeff_zero_symm_quotientMulEquiv · cited by 0Perfection.coeff_zero_sym…Perfection.teichmuller₀_mapMonoidHom_idealQuotientMk · cited by 0Perfection.teichmuller₀_m…Perfection.coeffMonoidHom_mapMonoidHom · cited by 0Perfection.coeffMonoidHom…Perfection.coeff_mapMonoidHom · cited by 0Perfection.coeff_mapMonoi…DFunLike.coe · cited by 62936DFunLike.coeMonoidHom · cited by 3629MonoidHomCommMonoid · cited by 2264CommMonoidPerfection · cited by 84PerfectionPerfection.coeffMonoidHom · cited by 24Perfection.coeffMonoidHomPerfection.mapMonoidHomCITED BYCITES

Cites5

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Cited by6

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