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Preprint Number 1546

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1546. Christian d'Elbée
Forking, Imaginaries and other features of ACFG

Submission date: 21 December 2018


We study the generic theory of algebraically closed fields of fixed positive characteristic with a predicate for an additive subgroup, called ACFG. This theory was introduced recently as a new example of NSOP_1 non simple theory. In this paper we describe more features of ACFG, such as imaginaries. We also study various independence relations in ACFG, such as Kim-independence or forking independence, and describe interactions between them.

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Full text arXiv 1812.09378: pdf, ps.

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