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.

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Proof of the Nullstellensatz

  • Emily Clader,
  • Dustin Ross

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.