Submission date: 19 December 2023

Abstract:

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.

Mathematics Subject Classification: 03C64 (Primary), 06F20 (Secondary)

Keywords and phrases:

Full text arXiv 2312.12279: pdf, ps.