A proof of Hilbert's Nullstellensatz based on Groebner bases
Commutative Algebra
2012-06-29 v3
Abstract
The aim of this note is to present an easy proof of Hilbert's Nullstellensatz using Groebner basis. I believe, that the proof has some methodical advantage in a course on Groebner bases. Key words: Hilbert's Nullstellensatz, Groebner bases.
Cite
@article{arxiv.1204.3128,
title = {A proof of Hilbert's Nullstellensatz based on Groebner bases},
author = {Lev Glebsky},
journal= {arXiv preprint arXiv:1204.3128},
year = {2012}
}
Comments
Difference of 3d and 2d versions: In this 3d version just some misprints are corrected and few lines of discussion are changed (added). Difference of 2d and 1st versions: As it was pointed out by David Cox, the Proposition 9 of the previous version is wrong but the inclusion needed holds. So, the general scheme is OK