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FORKING, IMAGINARIES, AND OTHER FEATURES OF $\text {ACFG}$
Published online by Cambridge University Press: 07 June 2021
Abstract
We study the generic theory of algebraically closed fields of fixed positive characteristic with a predicate for an additive subgroup, called $\mathrm {ACFG}$ . This theory was introduced in [16] as a new example of $\mathrm {NSOP}_{1}$ nonsimple theory. In this paper we describe more features of $\mathrm {ACFG}$ , such as imaginaries. We also study various independence relations in $\mathrm {ACFG}$ , such as Kim-independence or forking independence, and describe interactions between them.
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- © The Association for Symbolic Logic 2021
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