Theorems · Theorem · algebraic geometry

CommAlgCat.FiniteEtale.fiber_map

∀ (R : Type u) [inst : CommRing R] (Ω : Type w) [inst_1 : Field Ω] [inst_2 : Algebra R Ω]
  {S T : (CommAlgCat.FiniteEtale R)ᵒᵖ} (f : S ⟶ T),
  (CommAlgCat.FiniteEtale.fiber R Ω).map f = FintypeCat.homMk fun x => AlgHom.comp x (CommAlgCat.Hom.hom f.unop.hom)

Defined in

Mathlib.RingTheory.Etale.Finite

Cited by

0 results in Mathlib

Foundations

Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingFieldAlgebra