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 language | English |
|---|---|
| Title of host publication | Advances in Ring Theory |
| Editors | Dinh Van Huynh, Sergio R. López-Permouth |
| Publisher | Springer International Publishing |
| Pages | 283-302 |
| Number of pages | 20 |
| ISBN (Print) | 9783034602853 |
| DOIs | |
| State | Published - 2010 |
| Event | International Conference on Algebra and its Applications, 2008 - Athens, United States Duration: 18 Jun 2008 → 21 Jun 2008 |
Publication series
| Name | Trends in Mathematics |
|---|---|
| Volume | 49 |
| ISSN (Print) | 2297-0215 |
| ISSN (Electronic) | 2297-024X |
Conference
| Conference | International Conference on Algebra and its Applications, 2008 |
|---|---|
| Country/Territory | United States |
| City | Athens |
| Period | 18/06/08 → 21/06/08 |
Bibliographical note
Publisher Copyright:© 2010 Birkhäuser Verlag Basel/Switzerland.
Funding
The second author has been supported in part by the Israel Science Foundation, grant 1178/06. The first author has been supported by the Chateaubriand scientific post-doctorate fellowships, Ministry of Science, French Government, 2007–2008.
| Funders | Funder number |
|---|---|
| Ministry of Science, French Government | |
| Israel Science Foundation | 1178/06 |
Keywords
- Characteristic polynomial
- Determinant
- Eigenvalue
- Eigenvector
- Hamilton-Cayley theorem
- Matrix algebra
- Polynomial algebra
- Resultant
- Semiring theory
- Supertropical structures
- Vandermonde matrix