On Sufficient Conditions for Near-Rings to be Isomorphic

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


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.


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  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

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