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  1. Une fonction de Kolchin pour les corps imparfaits de degré d'imperfection fini.Françoise Delon - 2005 - Journal of Symbolic Logic 70 (2):664 - 680.
    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. /// Un corps séparablement clos non algébriquement clos est (...)
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  • On n-dependent groups and fields.Nadja Hempel - 2016 - Mathematical Logic Quarterly 62 (3):215-224.
    First, an example of a 2-dependent group without a minimal subgroup of bounded index is given. Second, all infinite n-dependent fields are shown to be Artin-Schreier closed. Furthermore, the theory of any non separably closed PAC field has the IPn property for all natural numbers n and certain properties of dependent valued fields extend to the n-dependent context.
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  • Sous-groupes additifs de rangs dénombrables dans un corps séparablement clos.Thomas Blossier - 2011 - Archive for Mathematical Logic 50 (3-4):459-476.
    RésuméPour tout entier n, on construit des sous-groupes, infiniment définissables de rang de Lascar ωn, du groupe additif d’un corps séparablement clos.
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