Generic derivations on algebraically bounded structures II. Model theoretical properties

Let T be an algebraically bounded theory. We consider the $L(\bar{\delta })$-expansions of T by a tuple $\bar{\delta }$ 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 $\omega$-stability, simplicity, open core, and elimination of imaginaries.