Skip to main content
SpringerLink
Log in

On ∑-pure-injective modules over valuation domains

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. F. W.Anderson and K. R.Fuller, Rings and Categories of Modules. New York-Heidelberg-Berlin 1974.

  2. L.Fuchs, Infinite Abelian Groups, Vol. II. New York 1973.

  3. L. Fuchs andL. Salce, Prebasic submodules over valuation rings. Ann. Mat. Pura Appl.32, 257–274 (1982).

    Google Scholar 

  4. L. Fuchs andL. Salce, Uniserial modules over Valuation Rings. J. Algebra85, 14–31 (1983).

    Google Scholar 

  5. S. Garavaglia, Decomposition of totally transcendental modules. J. Symbolic Logic45, 155–164 (1980).

    Google Scholar 

  6. E.Monari Martinez, On pure injective modules. Proceedings Conference on Abelian groups and modules, Udine 1984, 383–393 Wien-New York 1984.

  7. R. B. Warfield, Jr., Purity and algebraic compactness for modules. Pacific J. Math.28, 699–719 (1969).

    Google Scholar 

  8. M. Ziegler, Model Theory of Modules. Ann. Pure Appl. Logic26, 149–213 (1984).

    Google Scholar 

  9. W. Zimmermann, Rein injektive direkte Summen von Moduln. Comm. Algebra5, 1083–1117 (1977).

    Google Scholar 

  10. B. Zimmermann Huisgen, Decomposability of direct products of modules. J. Algebra56, 119–128 (1979).

    Google Scholar 

  11. B. Zimmermann Huisgen andW. Zimmermann, Algebraically compact rings and modules. Math. Z.161, 81–93 (1978).

    Google Scholar 

Download references

Author information

Author notes

  1. Elisabetta Monari Martinez

    Present address: Istituto di Algebra e Geometria, Università di Padova, via Belzoni, 7, 35131, Padova, Italy

Authors and Affiliations

    Authors
    1. Elisabetta Monari Martinez
      View author publications

      You can also search for this author in PubMed Google Scholar

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Monari Martinez, E. On ∑-pure-injective modules over valuation domains. Arch. Math 46, 26–32 (1986). https://doi.org/10.1007/BF01197134

    Download citation

    • Received:

    • Revised:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01197134

    Keywords

    Search

    Navigation