L'Algebre Tropicale Comme Algebre De la Caracteristique 1 : Polynomes Rationnels Et Fonctions Polynomiales
| dc.creator | Castella, Dominique | |
| dc.date | 2008-09-01 | |
| dc.date.accessioned | 2026-07-07T09:59:45Z | |
| dc.date.available | 2026-07-07T09:59:45Z | |
| dc.description | We continue, in this second article, the study of the the algebraic tools which play a role in tropical algebra. We especially examine here the polynomial algebras over idempotent semi-fields. this work is motivated by the development of tropical geometry which appears to be the algebraic geometry of tropical algebra. In fact, the most interesting object is the image of a polynomial algebra in its semi-field of fractions. We can thus obtain, over good semi-fields, the analog of classical correpondences between polynomials, and varieties of zeros... For example, we show that the algebras of polynomial functions over a tropical curves associated to a polynomial P, is, as in classical algebraic geometry, the quotient of the polynomial algebra by the ideal generated by P. | |
| dc.identifier | https://arxiv.org/abs/0809.0231 | |
| dc.identifier | http://arxiv.org/abs/0809.0231 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168134 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Algebraic Geometry | |
| dc.title | L'Algebre Tropicale Comme Algebre De la Caracteristique 1 : Polynomes Rationnels Et Fonctions Polynomiales | |
| dc.type | text |