Advertisement

On Sufficient Conditions for Near-Rings to be Isomorphic

Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 336)

Abstract

In some special cases it is possible for two algebraic structures, each having a set of generators, to be isomorphic. This is shown by the provision of sufficient conditions for two near-rings, each being generated by a nonempty subset, to be isomorphic. Examples in group near-rings serve to illustrate this.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    R, L. Fray, On group distributively generated near-rings, J. Austral. Math. Soc. (Series A) 52 (1992), 40–56.zbMATHCrossRefGoogle Scholar
  2. [2]
    R. L. Fray, Dissertation, University of Stellenbosch, South Africa, 1989.Google Scholar
  3. [3]
    L. R. Le Riche, J. D. P. Meldrum and A. P. J. van der Walt, On group near-rings, Arch. math. 52 (1989), 132–139.zbMATHCrossRefGoogle Scholar
  4. [4]
    J. D. P. Meldrum, The group distributively generated near-ring. Proc. London Math. Soc. (3) 32 (1976), 323–346.MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1995

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of the Western CapeBellvilleSouth Africa

Personalised recommendations