On a tropical dual Nullstellensatz

Details On a tropical dual Nullstellensatz On a tropical dual Nullstellensatz

2011-08-02

arxiv.org/abs/1108.0519v1

Mathematics

Commutative Algebra

Scientific paper

Since a tropical Nullstellensatz fails even for tropical univariate polynomials we study a conjecture on a tropical {\it dual} Nullstellensatz for tropical polynomial systems in terms of solvability of a tropical linear system with the Cayley matrix associated to the tropical polynomial system. The conjecture on a tropical effective dual Nullstellensatz is proved for tropical univariate polynomials.

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