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added more references to mathlib to readme

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@ -18,9 +18,14 @@ class IsMaximal (I : Ideal α) : Prop
- Definition of a Noetherian and Artinian rings: - Definition of a Noetherian and Artinian rings:
```lean ```lean
class Mathlib.RingTheory.Noetherian.IsNoetherian (R M) [Semiring R] [AddCommMonoid M] [Module R M] : Prop class Mathlib.RingTheory.Noetherian.IsNoetherian (R M) [Semiring R] [AddCommMonoid M] [Module R M] : Prop
class Mathlib.RingTheory.Artinian.IsArtinian (R M) [Semiring R] [AddCommMonoid M] [Module R M] : Prop
``` ```
- Definition of a polynomial ring: `Mathlib.RingTheory.Polynomial.Basic`
- Definitions of a local ring and quotient ring - Definitions of a local ring and quotient ring: `Mathlib.RingTheory.Ideal.Quotient.?`
```lean
class Mathlib.RingTheory.Ideal.LocalRing.LocalRing (R : Type u) [Semiring R] extends Nontrivial R : Prop
```
- Definition of the chain of prime ideals and the length of these chains - Definition of the chain of prime ideals and the length of these chains