L. A. Kurdachenko, K. O. Grin, N. A. Turbay, “On hypercentral fyzzy groups”, Algebra Discrete Math., 2012, Volume 13, Issue 1,Pages <nobr>92

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RESEARCH ARTICLE

On hypercentral fyzzy groups

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

Department of Algebra, Oles Honchar Dnipropetrovsk National University, 72 Gagarin Av., Dnepropetrovsk, Ukraine 49010

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.

MSC: 20N25, 08A72, 03E72

Received: 01.02.2012
Revised: 28.03.2012

Language: English