Theorems · Definition · commutative algebra

Ideal.homogeneousCore.gi

{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] → GaloisCoinsertion HomogeneousIdeal.toIdeal (Ideal.homogeneousCore 𝒜)

toIdeal : HomogeneousIdeal 𝒜 → Ideal A and Ideal.homogeneousCore 𝒜 forms a Galois coinsertion.

Defined in

Mathlib.RingTheory.GradedAlgebra.Homogeneous.Ideal

Cited by

0 results in Mathlib

Foundations

Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringDecidableEqAddMonoidSetLikeAddSubmonoidClassGradedRing