Theorems · Definition · commutative algebra

HomogeneousIdeal.toIdeal

{ι : Type u_1} →
  {σ : Type u_2} →
    {A : Type u_3} →
      [inst : Semiring A] →
        [inst_1 : SetLike σ A] →
          [inst_2 : AddSubmonoidClass σ A] →
            {𝒜 : ι → σ} →
              [inst_3 : DecidableEq ι] → [inst_4 : AddMonoid ι] → [inst_5 : GradedRing 𝒜] → HomogeneousIdeal 𝒜 → Ideal A

Converting a homogeneous ideal to an ideal.

Defined in

Mathlib.RingTheory.GradedAlgebra.Homogeneous.Ideal

Cited by

105 results in Mathlib

Foundations

Depth 15 from the axioms, rests on 167 definitions · uses no axioms

Assumes

SemiringSetLikeAddSubmonoidClassDecidableEqAddMonoidGradedRing