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Mathematics > Logic

arXiv:1812.09378 (math)
[Submitted on 21 Dec 2018 (v1), last revised 30 Oct 2019 (this version, v2)]

Title:Forking, Imaginaries and other features of ACFG

Authors:Christian d'Elbée
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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 recently as a new example of $\mathrm{NSOP}_1$ non simple 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.
Subjects: Logic (math.LO)
Cite as: arXiv:1812.09378 [math.LO]
  (or arXiv:1812.09378v2 [math.LO] for this version)
  https://doi.org/10.48550/arXiv.1812.09378

Submission history

From: Christian d'Elbée [view email]
[v1] Fri, 21 Dec 2018 21:42:10 UTC (30 KB)
[v2] Wed, 30 Oct 2019 18:41:26 UTC (78 KB)
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