A guide to supertropical algebra

Zur Izhakian, Louis Rowen

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Scopus citations

Abstract

This paper describes a new algebraic structure to enrich the algebraic theory underlying "tropical geometry," an area of mathematics that has developed considerably over the last ten years, with applications to combinatorics, polynomials (Newton's polytope), linear algebra, and algebraic geometry.

Original languageEnglish
Title of host publicationAdvances in Ring Theory
EditorsDinh Van Huynh, Sergio R. López-Permouth
Pages283-302
Number of pages20
DOIs
StatePublished - 2010
Externally publishedYes
EventInternational Conference on Algebra and its Applications, 2008 - Athens, United States
Duration: 18 Jun 200821 Jun 2008

Publication series

NameTrends in Mathematics
Volume49
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X

Conference

ConferenceInternational Conference on Algebra and its Applications, 2008
Country/TerritoryUnited States
CityAthens
Period18/06/0821/06/08

Keywords

  • Characteristic polynomial
  • Determinant
  • Eigenvalue
  • Eigenvector
  • Hamilton-Cayley theorem
  • Matrix algebra
  • Polynomial algebra
  • Resultant
  • Semiring theory
  • Supertropical structures
  • Vandermonde matrix

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