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+# comm_alg
+SLMath collaboration for adding Krull dimension and Hilbert polynomial to mathlib
+
+We start the comm algebra project by important definitions and theorems and go from there.
+Feel free to add, modify, and expand this file. Below are starting point for the project:
+
+Definitions of an ideal, prime ideal, and maximal ideal
+Definition of a Spec of a ring
+Definition of a Noetherian and Artinian rings
+Definition of a local ring and quotient ring
+Definition of the Krull dimension 
+
+Give examples of each of the above cases for a particular instances of ring
+
+Theorem 0: Hilbert Basis Theorem
+Theorem 1: If A is a nonzero ring, then dim A[t] >= dim A +1
+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