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Theorems · Theorem · commutative algebra

HomogeneousLocalization.Away.map_id

∀ {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] (f : A),
  HomogeneousLocalization.Away.map (GradedRingHom.id 𝒜) f = RingHom.id (HomogeneousLocalization.Away 𝒜 f)
Defined in
Mathlib.RingTheory.GradedAlgebra.HomogeneousLocalization
Cited by
1 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingSetLikeAddSubgroupClassAddCommMonoidDecidableEqGradedRing
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AlgebraicGeometry.Proj.map_id · cited by 0Proj.map_idDFunLike.coe · cited by 62936DFunLike.coeRingHom.id · cited by 18349RingHom.idCommRing · cited by 17173CommRingAddCommMonoid · cited by 12281AddCommMonoidRingHom · cited by 10189RingHomSetLike · cited by 1084SetLikeGradedRing · cited by 424GradedRingSubmonoid.powers · cited by 408Submonoid.powersAddSubgroupClass · cited by 240AddSubgroupClassHomogeneousLocalization.Away · cited by 105HomogeneousLocalization.A…GradedRingHom · cited by 91GradedRingHomGradedRingHom.id · cited by 15GradedRingHom.idHomogeneousLocalization.Away.map · cited by 10Away.mapHomogeneousLocalization.map_id · cited by 1HomogeneousLocalization.m…Away.map_idCITED BYCITES

Cites14

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Cited by1

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