SinTan1729/comm_alg
1
0
Fork 0
mirror of https://github.com/GTBarkley/comm_alg.git synced 2024-12-25 23:28:36 -06:00
Code Issues Projects Releases Packages Wiki Activity

updated def

Browse source
This commit is contained in:
monula95 dutta 2023-06-14 03:45:23 +00:00
parent 2c3d2d84a3
commit d30702fb10
1 changed files with 3 additions and 2 deletions
Show stats Download patch file Download diff file Expand all files Collapse all files

5
.docker/test.lean
View file

@ -88,10 +88,11 @@ instance tada3 (𝒜 : ℤ → Type _) (𝓜 : ℤ → Type _) [∀ i, AddCommGr
letI := Module.compHom (⨁ j, 𝓜 j) (ofZeroRingHom 𝒜)
exact Dfinsupp.single_injective.module (𝒜 0) (of 𝓜 i) (mylem 𝒜 𝓜 i)
-- (art: IsArtinianRing (𝒜 0)) (loc : LocalRing (𝒜 0))
noncomputable def hilbert_function (𝒜 : ℤ → Type _) (𝓜 : ℤ → Type _) [∀ i, AddCommGroup (𝒜 i)] [∀ i, AddCommGroup (𝓜 i)]
[DirectSum.GCommRing 𝒜]
[DirectSum.Gmodule 𝒜 𝓜] (art: IsArtinianRing (𝒜 0)) (loc : LocalRing (𝒜 0))
: ℤ → ℕ∞ := fun i => (length (𝒜 0) (𝓜 i))
[DirectSum.Gmodule 𝒜 𝓜] (hilb : ℤ → ℕ∞) := ∀ i, hilb i = (length (𝒜 0) (𝓜 i))
lemma hilbertz (𝒜 : ℤ → Type _) (𝓜 : ℤ → Type _) [∀ i, AddCommGroup (𝒜 i)] [∀ i, AddCommGroup (𝓜 i)]
[DirectSum.GCommRing 𝒜]