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Hilbert's Nullstellensatz

Known as: Projective Nullstellensatz, Nullstellensatz, Weak Nullstellensatz 
Hilbert's Nullstellensatz (German for "theorem of zeros," or more literally, "zero-locus-theorem" – see Satz) is a theorem that establishes a… 
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Related topics

Related topics

7 relations
Gröbner basisLinear algebraNonlinear systemPolynomial ring

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Polynomial reduction and evaluation of tree- and loop-level CHY amplitudes
A bstractWe develop a polynomial reduction procedure that transforms any gauge fixed CHY amplitude integrand for n scattering… 
2010
2010
Confronting Ideals of Proof with the Ways of Proving of the Research Mathematician
In this paper, we discuss the prevailing view amongst philosophers and many mathematicians concerning mathematical proof… 
2009
2009
A Note on the Use of Sum in the Logic of Proofs
The Logic of Proofs~LP, introduced by Artemov, encodes the same reasoning as the modal logic~S4 using proofs explicitly present… 
2007
2007
Dynamics of projective morphisms having identical canonical heights
Let ϕ, ψ:ℙN → ℙN be morphisms of degree at least 2 whose canonical heights ĥϕ and ĥψ are identical. We draw various conclusions… 
2007
2007
A MODEL-THEORETIC PROOF OF HILBERT’S NULLSTELLENSATZ
The goal of this paper is to present a proof of the Nullstellensatz using tools from a branch of logic called model theory. In… 
2005
2005
An extremal problem for H -linked graphs
We introduce the notion of H-linked graphs, where H is a fixed multigraph with vertices w1,…,wm. A graph G is H-linked if for… 
2004
2004
A Novel Pitch Period Detection Algorithm Based on Hilbert-Huang Transform
In this paper, a novel event detection pitch detector is presented Hilbert-Huang Transform is employed to locate the instant at… 
2004
2004
The Hilbert-Caratheodory and Poincare-Cartan forms for higher-order multiple-integral variational problems
We consider higher-order homogeneous multiple-integral variational problems defined in the context of m-frame bundles, and… 
2001
2001
The Gelfand map and symmetric products
If A is an algebra of functions on X, there are many cases when X can be regarded as included in Hom(A,C) as the set of ring… 
1997
1997
Von Neumann Algebras and Hilbert Quantales
When A is a von Neumann algebra, the set of all weakly closed linear subspaces forms a Gelfand quantale, Maxw A. We prove that… 
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