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Generic derivations on algebraically bounded structures (2310.20511v4)

Published 31 Oct 2023 in math.LO and math.AC

Abstract: Let K be an algebraically bounded structure and T be its theory. If T is model complete, then the theory of K endowed with a derivation, denoted by $T{\delta}$, has a model completion. Additionally, we prove that if the theory T is stable/NIP then the model completion of $T{\delta}$ is also stable/NIP. Similar results hold for the theory with several derivations, either commuting or non-commuting.

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