대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제28권4호
  • /
  • Pages.669-677
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  • 2013
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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TOPOLOGICAL CONDITIONS OF NI NEAR-RINGS

  • Dheena, P. (Department of Mathematics Annamalai University) ;
  • Jenila, C. (Department of Mathematics Annamalai University)
  • 투고 : 2011.12.23
  • 발행 : 2013.10.31
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초록

In this paper we introduce the notion of NI near-rings similar to the notion introduced in rings. We give topological properties of collection of strongly prime ideals in NI near-rings. We have shown that if N is a NI and weakly pm near-ring, then $Max(N)$ is a compact Hausdorff space. We have also shown that if N is a NI near-ring, then for every $a{\in}N$, $cl(D(a))=V(N^*(N)_a)=Supp(a)=SSpec(N){\setminus}int\;V(a)$.

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참고문헌

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