A tropical Nullstellensatz

Eugenii Shustin; Zur Izhakian

doi:10.1090/S0002-9939-07-09005-3

A tropical Nullstellensatz

Eugenii Shustin, Zur Izhakian

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We suggest a version of Nullstellensatz over the tropical semiring, the real numbers equipped with operations of maximum and summation.

Original language	English
Pages (from-to)	3815-3821
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	135
Issue number	12
DOIs	https://doi.org/10.1090/S0002-9939-07-09005-3
State	Published - Dec 2007
Externally published	Yes

Keywords

Convex piecewise linear functions
Max-plus algebra
Nullstellensatz
Polynomial ideals

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10.1090/S0002-9939-07-09005-3

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abstract = "We suggest a version of Nullstellensatz over the tropical semiring, the real numbers equipped with operations of maximum and summation.",

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KW - Max-plus algebra

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KW - Polynomial ideals

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A tropical Nullstellensatz

Abstract

Keywords

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