Theorems · Definition · commutative algebra

HomogeneousLocalization.NumDenSameDeg.map

{ι : Type u_1} →
  {A : Type u_2} →
    {σ : Type u_3} →
      [inst : CommRing A] →
        [inst_1 : SetLike σ A] →
          [AddSubgroupClass σ A] →
            {𝒜 : ι → σ} →
              {B : Type u_4} →
                {τ : Type u_5} →
                  [inst_3 : CommRing B] →
                    [inst_4 : SetLike τ B] →
                      [AddSubgroupClass τ B] →
                        {ℬ : ι → τ} →
                          (f : 𝒜 →+*ᵍ ℬ) →
                            {W₁ : Submonoid A} →
                              {W₂ : Submonoid B} →
                                W₁ ≤ Submonoid.comap f W₂ →
                                  HomogeneousLocalization.NumDenSameDeg 𝒜 W₁ →
                                    HomogeneousLocalization.NumDenSameDeg ℬ W₂

Map NumDenSameDeg along a graded ring hom.

Defined in

Mathlib.RingTheory.GradedAlgebra.HomogeneousLocalization

Cited by

5 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Quot.sound

Assumes

CommRingSetLikeAddSubgroupClassCommRingSetLikeAddSubgroupClass