N-topo nilpotency in fuzzy neighborhood rings (Q1774688)
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scientific article; zbMATH DE number 2168637
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | N-topo nilpotency in fuzzy neighborhood rings |
scientific article; zbMATH DE number 2168637 |
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N-topo nilpotency in fuzzy neighborhood rings (English)
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18 May 2005
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A fuzzy neighborhood ring is a ring equipped with a fuzzy neighborhood topology compatible with the algebraic structure. In this paper, the authors introduce a notion of N-topo nilpotent fuzzy sets in a fuzzy neighborhood ring and discuss some of its basic properties, then apply these results to establish some characterizations of fuzzy neighborhood division rings.
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fuzzy neighborhood ring
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nilpotency
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\(\alpha\)-level topology
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separation axiom
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