East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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GENERALIZED PRIME IDEALS IN NON-ASSOCIATIVE NEAR-RINGS I

  • Cho, Yong-Uk (Department of Mathematics, College of Education, Silla University)
  • Received : 2011.06.07
  • Accepted : 2012.04.25
  • Published : 2012.05.31
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Abstract

In this paper, the concept of *-prime ideals in non-associative near-rings is introduced and then will be studied. For this purpose, first we introduce the notions of *-operation, *-prime ideal and *-system in a near-ring. Next, we will define the *-sequence, *-strongly nilpotent *-prime radical of near-rings, and then obtain some characterizations of *-prime ideal and *-prime radical $r_s$(I) of an ideal I of near-ring N.

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References

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