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

Access to Document

10.1090/S0002-9939-07-09005-3

Cite this

@article{1e9d27e4ce2d48efbd1488206dc3d76e,

title = "A tropical Nullstellensatz",

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

keywords = "Convex piecewise linear functions, Max-plus algebra, Nullstellensatz, Polynomial ideals",

author = "Eugenii Shustin and Zur Izhakian",

year = "2007",

month = dec,

doi = "10.1090/S0002-9939-07-09005-3",

language = "אנגלית",

volume = "135",

pages = "3815--3821",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "12",

}

TY - JOUR

T1 - A tropical Nullstellensatz

AU - Shustin, Eugenii

AU - Izhakian, Zur

PY - 2007/12

Y1 - 2007/12

N2 - We suggest a version of Nullstellensatz over the tropical semiring, the real numbers equipped with operations of maximum and summation.

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

KW - Convex piecewise linear functions

KW - Max-plus algebra

KW - Nullstellensatz

KW - Polynomial ideals

UR - http://www.scopus.com/inward/record.url?scp=77950637854&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-07-09005-3

DO - 10.1090/S0002-9939-07-09005-3

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:77950637854

SN - 0002-9939

VL - 135

SP - 3815

EP - 3821

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 12

ER -

A tropical Nullstellensatz

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this