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• W2964351609 abstract "Tropical algebra is an emerging field with a number of applications in various areas of mathematics. In many of these applications appeal to tropical polynomials allows studying properties of mathematical objects such as algebraic varieties from the computational point of view. This makes it important to study both mathematical and computational aspects of tropical polynomials. In this paper we prove a tropical Nullstellensatz, and moreover, we show an effective formulation of this theorem. Nullstellensatz is a natural step in building algebraic theory of tropical polynomials and its effective version is relevant for computational aspects of this field. On our way we establish a simple formulation of min-plus and tropical linear dualities. We also observe a close connection between tropical and min-plus polynomial systems." @default.
• W2964351609 created "2019-07-30" @default.
• W2964351609 creator A5038669776 @default.
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• W2964351609 date "2018-02-06" @default.
• W2964351609 modified "2023-09-25" @default.
• W2964351609 title "Tropical Effective Primary and Dual Nullstellensätze" @default.
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• W2964351609 doi "https://doi.org/10.1007/s00454-018-9966-3" @default.
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