Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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SOME RESULTS OF SELF MAP NEAR-RINGS

  • Cho, Yong-Uk (Department of Mathematics Education, College of Education, Silla University)
  • Received : 2010.05.24
  • Accepted : 2010.08.11
  • Published : 2011.01.30
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Abstract

In this paper, We initiate a study of zero symmetric and constant parts of near-rings, and then apply these to self map near-rings. Next, we investigate that every near-ring can be embedded into some self map near-ring, and every zero symmetric near-ring can be embedded into some zero symmetric self map near-ring.

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References

  1. Y. Cho, Quotient substructures of R-groups, J Applied Mathematics and Informatics 28 (1-2) (2010) 345-349.
  2. J.D.P. Meldrum, Upper faithful D.G. near-rings, Proc. Edinburgh Math. Soc. 26 (1983) 361-370.
  3. G. Pilz, Near-rings, North Holland Publishing Company, Amsterdam, New York, Oxford (1983).