Une fonction de Kolchin pour les corps imparfaits de degré d'imperfection fini
Delon, Françoise
J. Symbolic Logic, Tome 70 (2005) no. 1, p. 664-680 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
Non-perfect separably closed fields are stable, and not superstable. As a result, not all types can be ranked. We develop here a new tool, a “semi-rank”, which takes values in the non-negative reals, and gives a sufficient condition for forking of types. This semi-rank is built up from a transcendence function, analogous to the one considered by Kolchin in the context of differentially closed fields. It yields some orthogonality and stratification results.
Publié le : 2005-06-14
Classification:  
@article{1120224735,
     author = {Delon, Fran\c coise},
     title = {Une fonction de Kolchin pour les corps imparfaits de degr\'e d'imperfection fini},
     journal = {J. Symbolic Logic},
     volume = {70},
     number = {1},
     year = {2005},
     pages = { 664-680},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1120224735}
}

Delon, Françoise. Une fonction de Kolchin pour les corps imparfaits de degré d'imperfection fini. J. Symbolic Logic, Tome 70 (2005) no. 1, pp.  664-680. http://gdmltest.u-ga.fr/item/1120224735/