Mathematics > Logic
[Submitted on 5 Oct 2021 (v1), last revised 18 Sep 2022 (this version, v3)]
Title:Existentially closed models of fields with a distinguished submodule
View PDFAbstract:This paper deals with the class of existentially closed models of fields with a distinguished submodule (over a fixed subring). In the positive characteristic case, this class is elementary and was investigated by the first-named author. Here we study this class in Robinson's logic, meaning the category of existentially closed models with embeddings following Haykazyan and Kirby, and prove that in this context this class is NSOP$_1$ and TP$_2$.
Submission history
From: Leor Neuhauser [view email][v1] Tue, 5 Oct 2021 21:04:34 UTC (24 KB)
[v2] Tue, 25 Jan 2022 15:41:11 UTC (27 KB)
[v3] Sun, 18 Sep 2022 23:08:06 UTC (31 KB)
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