Proceedings of the American Mathematical Society

Author(s): Eugenii Shustin; Zur Izhakian
Journal: Proc. Amer. Math. Soc. 135 (2007), 3815-3821.
MSC (2000): Primary 12K10, 13B25; Secondary 51M20
Posted: March 21, 2007
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 12K10, 13B25, 51M20

Eugenii Shustin
Affiliation: School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, 69978 Tel Aviv, Israel
Email: shustin@post.tau.ac.il

Zur Izhakian
Affiliation: School of Computer Sciences, Tel Aviv University, Ramat Aviv, 69978 Tel Aviv, Israel
Email: zzur@post.tau.ac.il

DOI: 10.1090/S0002-9939-07-09005-3
PII: S 0002-9939(07)09005-3
Keywords: Max-plus algebra, convex piecewise linear functions, polynomial ideals, Nullstellensatz
Received by editor(s): September 12, 2005
Received by editor(s) in revised form: July 29, 2006 and October 13, 2006
Posted: March 21, 2007
Additional Notes: The first author was supported by a grant from the High Council for Scientific and Technological Cooperation between France and Israel and by the grant no. 465/04 from the Israel Science Foundation.
The second author was supported by a grant from the High Council for Scientific and Technological Cooperation between France and Israel.
Communicated by: Bernd Ulrich
Copyright of article: Copyright 2007, American Mathematical Society

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