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Undecidability of the theory of abelian groups with a subgroup

  • Published:1976 Issue:1 Volume:55 Page:125-128
  • ISSN:0002-9939
  • Container-title:Proceedings of the American Mathematical Society
  • language:en
  • Short-container-title:Proc. Amer. Math. Soc.

Author:

Baur Walter

Abstract

The theory of abelian groups with an additional predicate denoting a subgroup is undecidable.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference6 articles.

1. ℵ₀-categorical modules;Baur, Walter;J. Symbolic Logic,1975

2. McGraw-Hill Series in Information Processing and Computers;Davis, Martin,1958

3. Model-completions and modules;Eklof, Paul;Ann. Math. Logic,1970

4. An elementary theory of torsion-free abelian groups with a predicate that distinguishes a subgroup;Kozlov, G. T.;Algebra i Logika,1969

5. Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory;Shelah, Saharon;Ann. Math. Logic,1971

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4. On pairs of free modules over a Dedekind domain;Archive for Mathematical Logic;2005-09-27

5. Hereditary undecidability of some theories of finite structures;Journal of Symbolic Logic;1994-12
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