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On fuzzy \(N\)-subgroups and fuzzy ideals of near-rings and near-ring groups. (English) Zbl 1060.16052

Summary: In this paper we investigate some characteristics of fuzzy \(N\)-subgroups and fuzzy ideals of a near-ring. The notions of fuzzy near-ring subgroups and fuzzy ideals of a near-ring group are introduced. The factor \(N\)-group induced by a fuzzy ideal is also defined. Finally, some characterizations of strong near-rings are given in terms of fuzzy ideals.

MSC:

16Y30 Near-rings
16D25 Ideals in associative algebras
20N25 Fuzzy groups
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