@article{Belair:2008aa,
Abstract = {R{\'e}sum{\'e} On donne un algorithme d'{\'e}limination des quantificateurs dans les vecteurs de Witt sur un corps alg{\'e}briquement clos (ou encore dans les s{\'e}ries formelles), vus comme module valu{\'e} sur l'anneau de Ore des polyn{\^o}mes de Frobenius. On obtient alors que ces structures n'ont pas la propri{\'e}t{\'e} d'ind{\'e}pendance. Pour citer cet article : L. B{\'e}lair, F. Point, C. R. Acad. Sci. Paris, Ser. I 346 (2008). We prove quantifier elimination in Witt vectors over an algebraically closed fields (or in power series), considered as a valued module over the Ore ring of Frobenius polynomials. We get that these structures do not have the independence property. To cite this article: L. B{\'e}lair, F. Point, C. R. Acad. Sci. Paris, Ser. I 346 (2008).},
Author = {B{\'e}lair, Luc and Point, Fran{\c c}oise},
File = {Quantifier elimination in linear difference equations over Witt vectors - 1-s2.0-S1631073X08001684-main - a - u.pdf},
ISBN = {1631-073X},
Journal = {Comptes Rendus Mathematique},
Number = {13},
Pages = {703--706},
Title = {{\'E}limination des quantificateurs dans les {\'e}quations aux diff{\'e}rences lin{\'e}aires sur les vecteurs de Witt},
URL = {http://www.sciencedirect.com/science/article/pii/S1631073X08001684},
Volume = {346},
Year = {2008},
bdsk-url-1 = {http://www.sciencedirect.com/science/article/pii/S1631073X08001684},
bdsk-url-2 = {https://doi.org/10.1016/j.crma.2008.05.011},
da = {2008/07/01/},
date-added = {2020-04-13 20:09:48 +0200},
date-modified = {2020-04-13 20:09:48 +0200},
ty = {JOUR},
doi = {10.1016/j.crma.2008.05.011}
}
Library Size: 13G (12942 entries),
Last Updated: Apr 05, 2026, 08:41:35,
Build Time: N/A