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