A proof of Hilbert's Nullstellensatz based on Groebner bases
Lev Glebsky
TL;DR
This paper presents a straightforward proof of Hilbert's Nullstellensatz utilizing Groebner bases, offering educational advantages for teaching algebraic geometry and computational algebra.
Contribution
It introduces an accessible proof of Hilbert's Nullstellensatz based on Groebner bases, highlighting its pedagogical benefits.
Findings
Simplifies understanding of Nullstellensatz
Enhances teaching methods for algebraic geometry
Connects Groebner bases with fundamental algebraic theorems
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.
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Taxonomy
TopicsPolynomial and algebraic computation · Mathematics and Applications · Algebraic and Geometric Analysis