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… (More)
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2011
2011
Systems of polynomial equations with coefficients over a field K can be used to concisely model combinatorial problems. In this… (More)
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2009
2009
In the first part of the paper, we show that the minimum degree of a Nullstellensatz certificate for the non-existence of a… (More)
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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… (More)
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2006
2006
We prove the extended Hilbert’s Nullstellensatz in the context of Hu-Liu polynomial trirings. Which kinds of noncommutative rings… (More)
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Highly Cited
1999
Highly Cited
1999
We present a general algebraic technique and discuss some of its numerous applications in Combinatorial Number Theory, in Graph… (More)
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Highly Cited
1999
Highly Cited
1999
We present sharp estimates for the degree and the height of the polynomials in the Nullstellensatz over the integer ring Z. The… (More)
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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… (More)
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Highly Cited
1996
Highly Cited
1996
  • Mart́ın Sombra
  • 1996
We present a new effective Nullstellensatz with bounds for the degrees which depend not only on the number of variables and on… (More)
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Highly Cited
1994
Highly Cited
1994
The so called weak form of the Hilbert's Nullstellensatz says that a system of algebraic equations over a eld, Q i ( x) = 0, does… (More)
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1986
1986
The theory of elementary algebra and elementary geometry was shown to be decidable by Tarski using a quantifier elimination… (More)
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