On hypercentral fyzzy groups
Algebra and discrete mathematics, Tome 13 (2012) no. 1, pp. 92-106

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In an arbitrary fuzzy group we construct the upper central series and consider some its properties. In particular, the characterization of nilpotent fuzzy group has been obtained.
Keywords: Fuzzy group; fuzzy subgroup; upper central series, lower central series, nilpotent fuzzy group; support subgroup; characteristic function.
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L. A. Kurdachenko; K. O. Grin; N. A. Turbay. On  hypercentral fyzzy groups. Algebra and discrete mathematics, Tome 13 (2012) no. 1, pp. 92-106. http://geodesic.mathdoc.fr/item/ADM_2012_13_1_a7/