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Forking and invariant types in regular ordered abelian groups

Akash Hossain

Vol. 4 (2025), No. 3, 251–314
Abstract

We give a characterization of forking in regular ordered abelian groups. In particular, we prove that C ↓AfB if and only if c ↓AfB for each singleton c ∈ dcl ⁡ (AC) in these structures.

Keywords
ordered abelian groups, divisible ordered abelian groups, regular ordered abelian groups, forking, dividing, model theory
Mathematical Subject Classification
Primary: 03C64
Secondary: 06F20
Milestones
Received: 8 November 2024
Revised: 17 July 2025
Accepted: 3 September 2025
Published: 28 November 2025
Authors
Akash Hossain
Institut de Mathématiques d’Orsay
Faculté des Sciences d’Orsay
Université Paris-Saclay
Orsay
France
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