Theorems · Definition · ring theory
GradedRing.proj
{ι : Type u_1} →
{A : Type u_3} →
{σ : Type u_4} →
[inst : DecidableEq ι] →
[inst_1 : AddMonoid ι] →
[inst_2 : Semiring A] →
[inst_3 : SetLike σ A] → [inst_4 : AddSubmonoidClass σ A] → (𝒜 : ι → σ) → [GradedRing 𝒜] → ι → A →+ AThe projection maps of a graded ring
- Defined in
- Mathlib.RingTheory.GradedAlgebra.Basic
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- AddMonoidHomstatement · cited by 3,230
- AddMonoidstatement and proof · cited by 2,864
- SetLikestatement and proof · cited by 1,084
- GradedRingstatement and proof · cited by 424
- AddSubmonoidClassstatement and proof · cited by 346
- AddMonoidHom.compproof · cited by 339
- RingEquiv.toRingHomproof · cited by 150
- RingHom.toAddMonoidHomproof · cited by 17
- AddSubmonoidClass.subtypeproof · cited by 12
- DirectSum.decomposeRingEquivproof · cited by 8
- DFinsupp.evalAddMonoidHomproof · cited by 7
Cited by24
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.ProjIsoSpecTopComponent.FromSpec.carrierproof · cited by 9
- GradedRing.proj_applystatement · cited by 4
- Ideal.IsHomogeneous.isPrime_of_homogeneous_mem_or_memproof · cited by 3
- AlgebraicGeometry.ProjIsoSpecTopComponent.FromSpec.carrier.denom_notMemproof · cited by 2
- AlgebraicGeometry.ProjIsoSpecTopComponent.FromSpec.carrier.zero_memproof · cited by 2
- HomogeneousIdeal.mem_irrelevant_iffstatement · cited by 2
- AlgebraicGeometry.ProjIsoSpecTopComponent.FromSpec.carrier.add_memproof · cited by 1
- Ideal.toIdeal_homogeneousHull_eq_iSupstatement and proof · cited by 1
- ProjectiveSpectrum.basicOpen_eq_union_of_projectionstatement and proof · cited by 1
- Ideal.mul_homogeneous_element_mem_of_memstatement and proof · cited by 1