Theorems · Definition · commutative algebra

HomogeneousLocalization.deg

{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 → ι

For an element in HomogeneousLocalization x, degree is the natural number i such that 𝒜 i contains both numerator and denominator.

Defined in

Mathlib.RingTheory.GradedAlgebra.HomogeneousLocalization

Cited by

2 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice

Assumes

CommRingSetLike