Theorems · Theorem · commutative algebra

Ideal.homogeneousHull_eq_sInf

∀ {ι : Type u_1} {σ : Type u_2} {A : Type u_3} [inst : Semiring A] [inst_1 : DecidableEq ι] [inst_2 : AddMonoid ι]
  [inst_3 : SetLike σ A] [inst_4 : AddSubmonoidClass σ A] (𝒜 : ι → σ) [inst_5 : GradedRing 𝒜] (I : Ideal A),
  Ideal.homogeneousHull 𝒜 I = sInf {J | I ≤ J.toIdeal}

Defined in

Mathlib.RingTheory.GradedAlgebra.Homogeneous.Ideal

Cited by

0 results in Mathlib

Foundations

Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringDecidableEqAddMonoidSetLikeAddSubmonoidClassGradedRing