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Abelian Groups and Modules pp 243–252Cite as

Additive Groups of Existentially Closed Rings

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Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 287))

Abstract

This is a report on work in progress on the structure of existentially closed rings and of their underlying groups. For simplicity of exposition we shall confine ourselves here to the ‘local case’, i.e., the case of Qp algebras, for a fixed prime p ; but most of the results have analogs for the general case of rings i.e., Z-algebras.

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References

  1. Cohn, P.M., Universal Algebra, revised edition, D. Reidel, Dordrecht, 1981.

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  3. Eklof, P.C. and Mez, H.C., The ideal structure of existentially closed algebras, preprint.

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  4. Fuchs, L., Infinite Abelian Groups, vols I and II, Academic Press, New York, 1970 and 1973.

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  5. Jackett, D.R., Rings on certain mixed abelian groups, Pacific Journal of Math., 98, 365, 1982.

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  7. Eklof, P.C. and Fisher, E.R., The elementary theory of abelian groups, Annals of Math Logic, 4, 115, 1972.

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Author information

Authors and Affiliations

  1. University of California, Irvine, USA

    P. C. Eklof & H. C. Mez

Authors
  1. P. C. Eklof
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  2. H. C. Mez
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Editor information

Editors and Affiliations

  1. Universität Essen, Germany

    R. Göbel

  2. Universita’ di Padova, Italy

    C. Metelli  & A. Orsatti  & 

  3. Universita’ di Udine, Italy

    L. Salce

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© 1984 Springer-Verlag Wien

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Cite this paper

Eklof, P.C., Mez, H.C. (1984). Additive Groups of Existentially Closed Rings. In: Göbel, R., Metelli, C., Orsatti, A., Salce, L. (eds) Abelian Groups and Modules. International Centre for Mechanical Sciences, vol 287. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2814-5_17

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  • DOI: https://doi.org/10.1007/978-3-7091-2814-5_17

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-81847-3

  • Online ISBN: 978-3-7091-2814-5

  • eBook Packages: Springer Book Archive

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