Stable groups and expansions of $(\mathbb Z,+,0)$

DOI10.4064/fm403-8-2017zbMath1459.03042arXiv1601.05692OpenAlexW2963469529MaRDI QIDQ4581991

Gabriel Conant, Anand Pillay

Publication date: 21 August 2018

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.05692

zbMATH Keywords

Presburger arithmeticstable groupsfinite weightfinite dp-rank

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45)

Related Items (6)

A family of dp-minimal expansions of \((\mathbb{Z}; +)\) ⋮ Quantitative structure of stable sets in finite abelian groups ⋮ On pp-elimination and stability in a continuous setting ⋮ THERE ARE NO INTERMEDIATE STRUCTURES BETWEEN THE GROUP OF INTEGERS AND PRESBURGER ARITHMETIC ⋮ THE DP-RANK OF ABELIAN GROUPS ⋮ A NEW DP-MINIMAL EXPANSION OF THE INTEGERS

Cites Work

• Unnamed Item
• Classification theory and the number of non-isomorphic models.
• Generic structures and simple theories
• A course in model theory. An introduction to contemporary mathematical logic. Transl. from the French by Moses Klein

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