Abelian groups \(\aleph_ 0\)-categorical over a subgroup

DOI10.1016/0022-4049(90)90043-HzbMath0722.03033MaRDI QIDQ2641294

Roger Villemaire

Publication date: 1990

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Abelian groupscategoricityaxiomatization

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Abelian groups (20K99) Categoricity and completeness of theories (03C35)

Related Items (3)

Completely decomposable abelian groups \(\aleph_ 0\)-categorical over a subgroup ⋮ Relative categoricity in abelian groups. II ⋮ Completely decomposable abelian groups \(\aleph_ 0\)-categorical over a subgroup

Cites Work

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• Omega-categoricity, relative categoricity and coordinatisation
• \(\aleph_0\)-categoricity over a predicate
• Valuated groups

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