arXiv:1812.09378 Abstract | arXiv Analytics

arXiv:1812.09378 [math.LO]Abstract References Reviews Resources

Forking, Imaginaries and other features of ACFG

Published 2018-12-21Version 1

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.

Comments: 31 pages

Categories: math.LO

Keywords: imaginaries, non simple theory, generic theory, independence relations, positive characteristic

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