Undecidability of the theory of Abelian groups with an automorphism

DOI10.1007/BF01786956zbMath0403.20033OpenAlexW1968078280MaRDI QIDQ1256065

Vladimir Ivanovich Mart'yanov

Publication date: 1978

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01786956

zbMATH Keywords

UndecidabilityComplete Abelian GroupElementary Theory

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Decidability of theories and sets of sentences (03B25) Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Torsion-free groups, finite rank (20K15)

Cites Work

• Relatively convex subgroups of orderable groups
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