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Model- and substructure complete theories of ordered Abelian groups

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Models and Sets

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1103))

Abstract

We give necessary conditions for an arbitrary elementary class of ordered abelian groups to be model-complete, resp. substructure-complete. Ordered abelian groups are considered in a suitable definitional extension of the usual language of ordered groups. We introduce also the concepts of convex model-completeness and convex substructure completeness.

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Authors and Affiliations

  1. Mathematisches Institut, Universität Heidelberg, Im Neuenheimer Feld 294, 6900, Heidelberg, W. Germany

    Peter H. Schmitt

Authors
  1. Peter H. Schmitt
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Gert H. Müller Michael M. Richter

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© 1984 Springer-Verlag

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Schmitt, P.H. (1984). Model- and substructure complete theories of ordered Abelian groups. In: Müller, G.H., Richter, M.M. (eds) Models and Sets. Lecture Notes in Mathematics, vol 1103. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099396

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  • DOI: https://doi.org/10.1007/BFb0099396

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13900-3

  • Online ISBN: 978-3-540-39115-9

  • eBook Packages: Springer Book Archive

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