Generalised stability of ultraproducts of finite residue rings

Archive for Mathematical Logic 60 (7):815-829 (2021)
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Abstract

We study ultraproducts of finite residue rings \ where \ is a non-principal ultrafilter. We find sufficient conditions of the ultrafilter \ to determine if the resulting ultraproduct \ has simple, NIP, \ but not simple nor NIP, or \ theory, noting that all these four cases occur.

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10.1007/s00153-021-00760-z

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References found in this work

Model theory.Wilfrid Hodges - 2008 - Stanford Encyclopedia of Philosophy.
[Introduction].Wilfrid Hodges - 1986 - Journal of Symbolic Logic 51 (4):865.
Theories without the tree property of the second kind.Artem Chernikov - 2014 - Annals of Pure and Applied Logic 165 (2):695-723.
Asymptotic Classes of Finite Structures.Richard Elwes - 2007 - Journal of Symbolic Logic 72 (2):418 - 438.

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