diff --git a/CommAlg.lean b/CommAlg.lean index e99d3a6..cef13f8 100644 --- a/CommAlg.lean +++ b/CommAlg.lean @@ -1 +1,4 @@ -def hello := "world" \ No newline at end of file +import Mathlib.Tactic +def hello := "world" + +-- Thank Grant for setting this up. \ No newline at end of file diff --git a/README.md b/README.md index 3c5bba6..8ffbe34 100644 --- a/README.md +++ b/README.md @@ -31,6 +31,8 @@ class Mathlib.RingTheory.Ideal.LocalRing.LocalRing (R : Type u) [Semiring R] ext - Definition of the Krull dimension (supremum of the lengh of chain of prime ideal): `Mathlib.Order.KrullDimension.krullDim` +- Krull dimension of a module + - Definition of the height of prime ideal (dimension of A_p): `Mathlib.Order.KrullDimension.height` @@ -47,4 +49,6 @@ Theorem 2: If A is a nonzero noetherian ring, then dim A[t] = dim A + 1 Theorem 3: If A is nonzero ring then dim A_p + dim A/p <= dim A +Lemma 0: A ring is artinian iff it is noetherian of dimension 0. + Definition of a graded module