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TWO PROPERTIES OF SELF MAP NEAR-RINGS

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In this paper, we investigate that every near-ring can be embedded into some self map near-ring, and every zero symmetric nearring can be embedded into some zero symmetric self map near-ring. Next, we will study some simple properties of self map near-rings on groups.

Abstract

In this paper, we investigate that every near-ring can be embedded into some self map near-ring, and every zero symmetric nearring can be embedded into some zero symmetric self map near-ring. Next, we will study some simple properties of self map near-rings on groups.

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. S.J. Mahmood, "D.G. near-rings on the infinite dihedral groups, Nearrings and Nearfields", pp.151~166 (1987), Elsevier Science Publishers B.V.
  3. G. Pilz, "Near-rings" (1983), North Holland Publishing Company

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