Theorems · Definition · commutative algebra
GradedRingHom.id
{ι : Type u_1} → {A : Type u_2} → {σ : Type u_6} → [inst : Semiring A] → [inst_1 : SetLike σ A] → (𝒜 : ι → σ) → 𝒜 →+*ᵍ 𝒜The identity graded ring homomorphism from a graded ring to itself.
- Defined in
- Mathlib.RingTheory.GradedAlgebra.RingHom
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idproof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- RingHomproof · cited by 10,189
- SetLikestatement and proof · cited by 1,084
- GradedRingHomstatement · cited by 91
Cited by17
Results whose statement or proof uses this declaration.
- HomogeneousLocalization.mapIdproof · cited by 7
- GradedAlgHom.idproof · cited by 6
- AlgebraicGeometry.ProjectiveSpectrum.Proj.toSpec_base_apply_eqproof · cited by 3
- AlgebraicGeometry.Proj.awayToSection_comp_appLEproof · cited by 2
- HomogeneousLocalization.Away.map_idstatement · cited by 1
- AlgebraicGeometry.ProjectiveSpectrum.Proj.awayToSection_applyproof · cited by 1
- HomogeneousLocalization.map_idstatement and proof · cited by 1
- GradedRingHom.coe_idstatement · cited by 0
- HomogeneousIdeal.map_idstatement · cited by 0
- GradedRingHom.comp_idstatement · cited by 0
- AlgebraicGeometry.ProjectiveSpectrum.Proj.isLocalization_atPrimeproof · cited by 0
- GradedRingHom.id_applystatement · cited by 0