Theorems · Definition · commutative algebra

HomogeneousLocalization.fromZeroRingHom

{ι : Type u_1} →
  {A : Type u_2} →
    {σ : Type u_3} →
      [inst : CommRing A] →
        [inst_1 : SetLike σ A] →
          [inst_2 : AddSubgroupClass σ A] →
            [inst_3 : AddCommMonoid ι] →
              [inst_4 : DecidableEq ι] →
                (𝒜 : ι → σ) → [inst_5 : GradedRing 𝒜] → (x : Submonoid A) → ↥(𝒜 0) →+* HomogeneousLocalization 𝒜 x

The map from 𝒜 0 to the degree 0 part of 𝒜ₓ sending f ↦ f/1.

Defined in

Mathlib.RingTheory.GradedAlgebra.HomogeneousLocalization

Cited by

7 results in Mathlib

Foundations

Depth 49 from the axioms · uses propext, Quot.sound

Assumes

CommRingSetLikeAddSubgroupClassAddCommMonoidDecidableEqGradedRing