TOPOLOGICAL CONDITIONS OF NI NEAR-RINGS

Title & Authors
TOPOLOGICAL CONDITIONS OF NI NEAR-RINGS
Dheena, P.; Jenila, C.;

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 $\small{Max(N)}$ is a compact Hausdorff space. We have also shown that if N is a NI near-ring, then for every $\small{a{\in}N}$, $\small{cl(D(a))=V(N^*(N)_a)=Supp(a)=SSpec(N){\setminus}int\;V(a)}$.
Keywords
NI near-ring;strongly prime ideal;weakly pm near-ring;symmetric near-ring;
Language
English
Cited by
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