Generic derivations on algebraically bounded structures
Logic
2024-11-14 v4 Commutative Algebra
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 , has a model completion. Additionally, we prove that if the theory T is stable/NIP then the model completion of is also stable/NIP. Similar results hold for the theory with several derivations, either commuting or non-commuting.
Cite
@article{arxiv.2310.20511,
title = {Generic derivations on algebraically bounded structures},
author = {Fornasiero Antongiulio and Terzo Giuseppina},
journal= {arXiv preprint arXiv:2310.20511},
year = {2024}
}
Comments
Changes: Addded or updated the following references: [FT24] [LM16] [LT24], [JY23b] Corrected the text of Fact 2. Minor typos