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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/10849

Title: N-Topo nilpotency in fuzzy neighborhood rings
Authors: F. Al-Thukair
T.M.G. Ahsanullah
Keywords: Wuyts-Lowen WNT2 and locally inversely bounded
Issue Date: 2004
Abstract: We introduce the notion of N-topo nilpotent fuzzy set in a fuzzy neighborhood ring and develop some fundamental results. Here we show that a fuzzy neighborhood ring is locally inversely bounded if and only if for all 0<α<1, the α-level topological rings are locally inversely bounded. This leads us to prove a characterization theorem which says that if a fuzzy neighborhood ring on a division ring is Wuyts-Lowen WNT2 and locally inversely bounded, then the fuzzy neighborhood ring is a fuzzy neighborhood division ring. We also present another characterization theorem which says that a fuzzy neighborhood ring on a division ring is a fuzzy neighborhood division ring if the fuzzy neighborhood ring contains an N-topo nilpotent fuzzy neighborhood of zero.
URI: http://hdl.handle.net/123456789/10849
Appears in Collections:College of Science

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