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http://dx.doi.org/10.4134/CKMS.2013.28.4.669

TOPOLOGICAL CONDITIONS OF NI NEAR-RINGS

Dheena, P. (Department of Mathematics Annamalai University)
Jenila, C. (Department of Mathematics Annamalai University)

Publication Information

Communications of the Korean Mathematical Society / v.28, no.4, 2013 , pp. 669-677 More about this Journal

Abstract

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 $a{\in}N$ , $cl(D(a))=V(N^*(N)_a)=Supp(a)=SSpec(N){\setminus}int\;V(a)$ .

Keywords

NI near-ring; strongly prime ideal; weakly pm near-ring; symmetric near-ring;

Citations & Related Records

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