Proof of the Nullstellensatz
摘要
Now that we have collected, in the form of the equivalence of algebra and geometry, some evidence of the power of the Nullstellensatz, the time has come to prove it. The journey to a proof of the Nullstellensatz necessitates a rather long interlude into purely algebraic material, including a tour of R-modules and R-algebras, culminating with the Noether Normalization Theorem in Section 5.4.