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EMBEDDING PROPERTIES IN NEAR-RINGS

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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.

Abstract

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.

참고문헌 (3)

  1. Y. U. Cho, "QUOTIENT SUBSTRUCTURES OF R-GROUPS", Journal of Applied Mathematics and Informatics, 28(1), pp.345~349 (2010), 한국전산응용수학회
  2. J.D.P. Meldrum, "Upper faithful D.G. near-rings", Proc. Edinburgh Math. Soc, 26, pp.361~370 (1983)
  3. G. Pilz, "Near-rings" (1983), North Holland Publishing Company

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