Forking and invariant types in regular ordered Abelian groups

Fuente: arXiv
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1. Verfasser: Hossain, Akash
Format: Preprint
Veröffentlicht: 2023
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author Hossain, Akash
author_facet Hossain, Akash
contents We give a characterization of forking in regular ordered Abelian groups. In particular, we prove that the type of C over AB does not fork over A if and only if the type over AB of each C-definable singleton does not fork over A in these structures.
format Preprint
id arxiv_https___arxiv_org_abs_2312_12279
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Forking and invariant types in regular ordered Abelian groups
Hossain, Akash
Logic
03C64 (Primary), 06F20 (Secondary)
We give a characterization of forking in regular ordered Abelian groups. In particular, we prove that the type of C over AB does not fork over A if and only if the type over AB of each C-definable singleton does not fork over A in these structures.
title Forking and invariant types in regular ordered Abelian groups
topic Logic
03C64 (Primary), 06F20 (Secondary)
url https://arxiv.org/abs/2312.12279