On superstable expansions of free abelian groups

DOI10.1215/00294527-2017-0023zbMath1455.03042arXiv1405.0568OpenAlexW3103602065MaRDI QIDQ1750294

Rizos Sklinos, Daniel Palacín

Publication date: 18 May 2018

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.0568

zbMATH Keywords

superstabilityfree abelian groups

Mathematics Subject Classification ID

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

Related Items (9)

Stability and sparsity in sets of natural numbers ⋮ Definable groups in dense pairs of geometric structures ⋮ Automata and tame expansions of \((\mathbb{Z}, +)\) ⋮ On expansions of \((\mathbf{Z},+,0)\) ⋮ DECIDABILITY AND CLASSIFICATION OF THE THEORY OF INTEGERS WITH PRIMES ⋮ Weakly minimal groups with a new predicate ⋮ Definable sets containing productsets in expansions of groups ⋮ A NEW DP-MINIMAL EXPANSION OF THE INTEGERS ⋮ Expansions of the group of integers by Beatty sequences

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• On Dedekind complete o-minimal structures
• A strongly minimal expansion of (ω, s)
• Stability theory, permutations of indiscernibles, and embedded finite models
• Externally definable sets and dependent pairs II
• Some remarks on one-basedness

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