Theorems · Theorem · commutative algebra

HomogeneousLocalization.Away.finiteType

∀ {A : Type u_2} {σ : Type u_3} [inst : CommRing A] [inst_1 : SetLike σ A] [inst_2 : AddSubgroupClass σ A] {𝒜 : ℕ → σ}
  [inst_3 : GradedRing 𝒜] [Algebra.FiniteType (↥(𝒜 0)) A] (f : A) (d : ℕ),
  f ∈ 𝒜 d → Algebra.FiniteType (↥(𝒜 0)) (HomogeneousLocalization.Away 𝒜 f)

Defined in

Mathlib.RingTheory.GradedAlgebra.HomogeneousLocalization

Cited by

0 results in Mathlib

Foundations

Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingSetLikeAddSubgroupClassGradedRingAlgebra.FiniteType