Archiv der Mathematik

, Volume 64, Issue 5, pp 385–392

On arithmetical varieties of near-rings

  • Yuen Fong
  • Kalle Kaarli
  • Wen-Fong Ke
Article

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    G. Betsch, Ein Radikal für Fastringe. Math. Z.78, 86–90 (1962).Google Scholar
  2. [2]
    D. W. Blackett, Simple and semisimple near-rings. Proc. Amer. Math. Soc.4, 772–785 (1953).Google Scholar
  3. [3]
    S.Burris and H. P.Sankappanavar, A Course in Universal Algebra. Berlin-Heidelberg-New York 1981.Google Scholar
  4. [4]
    B. Jónsson, Algebras whose congruence lattices are distributive. Math. Scand.1, 193–206 (1953).Google Scholar
  5. [5]
    A. L. Foster andA. F. Pixley, Total algebras and weak independence, II. Math. Z.125, 271–284 (1972).Google Scholar
  6. [6]
    K. Kaarli, Radicals in near-rings (Russian). Tartu Riikl. Ül. Toimetised390, 134–171 (1976).Google Scholar
  7. [7]
    R. N.McKenzie, G. F.McNulty and W. F.Taylor, Algebras, lattices, varieties. Vol. 1. Monterey, California 1987.Google Scholar
  8. [8]
    J. D. P.Meldrum, Near-rings and their links with groups. Boston-London-Melbourne 1985.Google Scholar
  9. [9]
    G. Michler andR. Wille, Die primitiven Klassen arithmetischer Ringe. Math. Z.113, 369–372 (1970).Google Scholar
  10. [10]
    G.Pilz, Near-rings. Amsterdam-New York-Oxford 1983.Google Scholar
  11. [11]
    S. V. Polin, Primitivem-near-rings over multioperator groups. Math. USSR Sb.13, 247–265 (1971).Google Scholar
  12. [12]
    P. N. Stewart, Semisimple radical classes. Pacific J. Math.32, 249–254 (1970).Google Scholar
  13. [13]
    S. Veldsman, Varieties and radicals of near-rings. Results Math.24, 356–371 (1993).Google Scholar

Copyright information

© Birkhäuser Verlag 1995

Authors and Affiliations

  • Yuen Fong
    • 1
  • Kalle Kaarli
    • 2
  • Wen-Fong Ke
    • 1
  1. 1.Department of MathematicsNational Cheng-Kung UniversityTainanTaiwan-70101, ROC
  2. 2.Department of MathematicsUniversity of TartuTartuEstonia

Personalised recommendations