Theorems · Definition · commutative algebra

HomogeneousLocalization.val

{ι : Type u_1} →
  {A : Type u_2} →
    {σ : Type u_3} →
      [inst : CommRing A] →
        [inst_1 : SetLike σ A] → {𝒜 : ι → σ} → {x : Submonoid A} → HomogeneousLocalization 𝒜 x → Localization x

View an element of HomogeneousLocalization 𝒜 x as an element of Aₓ by forgetting that the numerator and denominator are of the same grading.

Defined in

Mathlib.RingTheory.GradedAlgebra.HomogeneousLocalization

Cited by

51 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext

Assumes

CommRingSetLike