Generic derivations on algebraically bounded structures II. Model theoretical properties

Abstract

Let T be an algebraically bounded theory. We consider the L(δ)-expansions of T by a tuple δ of derivations (which may be commuting or not). We investigate the model completion of either of the above theories, whose existence has been established in [FT:24], with particular attention to its model-theoretic properties, including ω-stability, simplicity, open core, and elimination of imaginaries.

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