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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… Expand
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Papers overview

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Review
2018
Review
2018
Transition modelling is an emerging but growing niche within the broader field of sustainability transitions research. The… Expand
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2008
2008
Systems of polynomial equations over an algebraically-closed field K can be used to concisely model many combinatorial problems… Expand
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Highly Cited
2000
Highly Cited
2000
In the first part of this thesis, we introduce a specific class of Linear Matrix Inequalities (LMI) whose optimal solution can be… Expand
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Highly Cited
1997
Highly Cited
1997
NP = PCP(logn, 1) and related results crucially depend upon the close connection between the probability with which a function… Expand
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Highly Cited
1996
Highly Cited
1996
We show that if the Generalized Riemann Hypothesis is true, the problem of deciding whether a system of polynomial equations in… Expand
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Highly Cited
1996
Highly Cited
1996
A propositional proof system can be viewed as a non-deterministic algorithm for the (co-NP complete) unsatisfiabilit y problem… Expand
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Highly Cited
1995
Highly Cited
1995
Commutative Algebra is best understood with knowledge of the geometric ideas that have played a great role in its formation, in… Expand
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Highly Cited
1994
Highly Cited
1994
The weak form of the Hilbert's Nullstellensatz says that a system of algebraic equations over a field, Q/sub i/(x~)=0, does not… Expand
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Highly Cited
1988
Highly Cited
1988
The usual proofs of this result, however, give no information about the g1's; for instance they give no bound on their degrees… Expand
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Highly Cited
1986
Highly Cited
1986
  • D. Kapur
  • SYMSAC '86
  • 1986
  • Corpus ID: 18837625
The theory of elementary algebra and elementary geometry was shown to be decidable by Tarski using a quantifier elimination… Expand
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