East Asian mathematical journal

  • 제29권3호
  • /
  • Pages.255-258
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  • 2013
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  • 1226-6973(pISSN)
  • /
  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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EMBEDDING PROPERTIES IN NEAR-RINGS

  • Cho, Yong Uk (Department of Mathematics, College of Education, Silla University)
  • 투고 : 2011.05.07
  • 심사 : 2013.02.05
  • 발행 : 2013.06.01
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초록

In this paper, we initiate the 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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참고문헌

  1. Y. U. Cho Quotient substructures of R-groups, J Applied Mathematics and Informatics 28 No 1-2, (2010), 345-349.
  2. J.D.P. Meldrum Upper faithful D.G. near-rings, Proc. Edinburgh Math. Soc. 26, (1983), 361-370. https://doi.org/10.1017/S0013091500004430
  3. G. Pilz Near-rings, , North Holland Publishing Company, Amsterdam, New York, Ox-ford 1983.