Skip to main content
SpringerLink
Log in

The quantifier elimination problem for rings without nilpotent elements and for semi-simple rings

  • Conference paper
  • First Online:
Model Theory of Algebra and Arithmetic

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 834))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • R.F. ARENS and I. KAPLANSKY, Topological representation of algebras, Trans. Amer. Math. Soc. 63 (1948), 457–481.

    Article  MathSciNet  MATH  Google Scholar 

  • Ch. BERLINE, Rings which admit elimination of quantifiers, J. Symb. Logic, to appear.

    Google Scholar 

  • C.C. CHANG and H.J. KEISLER, Model theory, North-Holland (1973).

    Google Scholar 

  • N. JACOBSON, Structure of rings, Amer. Math. Soc. (1964).

    Google Scholar 

  • A. MACINTYRE, On ω1-categorical theories of fields, Fund. Math. 71 (1971), 1–25.

    MathSciNet  MATH  Google Scholar 

  • A. MACINTYRE, K. MCKENNA and L. VAN DEN DRIES, Elimination of quantifiers in algebraic structures, preprint.

    Google Scholar 

  • A. MACINTYRE and J.G. ROSENSTEIN, NO-categoricity for rings without nilpotent elements and for boolean structures, J. Algebra 43 (1976), 129–154.

    Article  MathSciNet  MATH  Google Scholar 

  • B.I. ROSE, Rings which admit elimination of quantifiers, J. Symb. Logic 43 (1978), 92–112.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Mons, France

    M. Boffa, A. Macintyre & F. Point

Authors
  1. M. Boffa
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Macintyre
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. F. Point
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Leszek Pacholski Jedrzej Wierzejewski Alec J. Wilkie

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Boffa, M., Macintyre, A., Point, F. (1980). The quantifier elimination problem for rings without nilpotent elements and for semi-simple rings. In: Pacholski, L., Wierzejewski, J., Wilkie, A.J. (eds) Model Theory of Algebra and Arithmetic. Lecture Notes in Mathematics, vol 834. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090158

Download citation

  • DOI: https://doi.org/10.1007/BFb0090158

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10269-4

  • Online ISBN: 978-3-540-38393-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation