On hypercentral fyzzy groups

L. A. Kurdachenko, K. O. Grin, N. A. Turbay

Abstract


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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