Minimal groups in separably closed fields
Journal of Symbolic Logic 67 (1):239-259 (2002)
| Abstract | We give a complete description of minimal groups infinitely definable in separably closed fields of finite degree of imperfection. In particular we answer positively the question of the existence of such a group with infinite transcendence degree (i.e., a minimal group with non thin generic) | |||||||||
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Dan Haran (1988). Quantifier Elimination in Separably Closed Fields of Finite Imperfectness Degree. Journal of Symbolic Logic 53 (2):463-469.
Oleg Belegradek, Ya'Acov Peterzil & Frank Wagner (2000). Quasi-o-Minimal Structures. Journal of Symbolic Logic 65 (3):1115-1132.
Michael C. Laskowski & Charles Steinhorn (1995). On o-Minimal Expansions of Archimedean Ordered Groups. Journal of Symbolic Logic 60 (3):817-831.
Martin Ziegler (2003). Separably Closed Fields with Hasse Derivations. Journal of Symbolic Logic 68 (1):311-318.
Zoé Chatzidakis & Carol Wood (2000). Minimal Types in Separably Closed Fields. Journal of Symbolic Logic 65 (3):1443-1450.
G. Srour (1986). The Independence Relation in Separably Closed Fields. Journal of Symbolic Logic 51 (3):715-725.
Pilar Dellunde, Françoise Delon & Françoise Point (2002). The Theory of Modules of Separably Closed Fields. Journal of Symbolic Logic 67 (3):997-1015.
Françoise Point (2005). Asymptotic Theory of Modules of Separably Closed Fields. Journal of Symbolic Logic 70 (2):573 - 592.
Margit Messmer & Carol Wood (1995). Separably Closed Fields with Higher Derivations. Journal of Symbolic Logic 60 (3):898-910.
Carol Wood (1979). Notes on the Stability of Separably Closed Fields. Journal of Symbolic Logic 44 (3):412-416.
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