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arXiv · 2507.22181

Generic derivations on algebraically bounded structures II. Model theoretical properties

Fornasiero Antongiulio·Terzo Giuseppina
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Abstract

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.

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Fornasiero Antongiulio, Terzo Giuseppina. 2025-07-29. Generic derivations on algebraically bounded structures II. Model theoretical properties. https://arxiv.org/abs/2507.22181

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