Completion of the Solvable Baumslag–Solitar Group. Stability
Abstract
Abstract The author previously defined the divisible completion of the solvable Baumslag–Solitar group, described the groups elementarily equivalent to it, constructed an axiomatization of the corresponding theory, and proved its decidability. In the present work, elementary submodels of models of this theory are described, and $ \omega $ -stability is established.
Fields of Study & Subjects
Advanced Topology and Set Theory
Geometric and Algebraic Topology
Advanced Algebra and Logic
Publication details
- Journal / source
- Siberian Mathematical Journal
- Volume
- 67
- Issue
- 1
- Pages
- 120–124
- Publication date
- 1 January 2026
- Language
- EN