Skip to main content
SpringerLink
Log in

Centralizer near-rings determined by PID-modules, II

  • Published:
Periodica Mathematica Hungarica Aims and scope Submit manuscript

Abstract

We answer an open problem in radical theory by showing that there exists a zero-symmetric simple near-ringN with identity such thatJ 2(N)=N.

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

Similar content being viewed by others

References

  1. P. Fuchs andC. J. Maxson, Centralizer near-rings determined by PID-modules,Archiv der Math. 56 (1991), 140–147.MR 92a: 16052

    Google Scholar 

  2. C. J. Maxson, Piecewise endomorphisms of PID-modules,Results in Math., Vol.18 (1990), 125–132.MR 91f:16058

    Google Scholar 

  3. C. J. Maxson andA. P. J. Van Der Walt, Centralizer near-rings over free ring modules,Journal Austral. Math. Soc. 50 (1991), 279–296.MR 92a:16054

    Google Scholar 

  4. J. D. P. Meldrum,Near-rings and their Links with Groups, Pitman (Research Note Series No. 134), 1985.MR 88a:16068

  5. G. F. Pilz,Near-rings 2nd Edition, North Holland, Amsterdam, 1983.MR 85h:16046

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Mathematik, Johannes Kepler Universität, A-4040, Linz, Austria

    P. Fuchs

  2. Department of Mathematics, Texas A & M University, 77843, College Station, TX, USA

    C. J. Maxson

  3. Department of Mathematics, University of Stellenbosch, 7600, Stellenbosch, South Africa

    A. P. J. Van Der Walt

  4. Department of Algebra and Geometry, Tartu University, Vanemuise 46, EE2400, Tartu, Estonia

    K. Kaarli

Authors
  1. P. Fuchs
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. C. J. Maxson
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. P. J. Van Der Walt
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. K. Kaarli
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

To 80th birthday of Paul Erdős

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fuchs, P., Maxson, C.J., Van Der Walt, A.P.J. et al. Centralizer near-rings determined by PID-modules, II. Period Math Hung 26, 111–114 (1993). https://doi.org/10.1007/BF01876312

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01876312

Mathematics subject classification numbers, 1991

Search

Navigation