RUS  ENG
Full version
JOURNALS // Algebra and Discrete Mathematics // Archive
Algebra Discrete Math., 2013 Volume 15, Issue 1, Pages 23–36 (Mi adm409)
This article is cited in 2 papers

RESEARCH ARTICLE

On normalizers in fuzzy 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 define the normalizer of fuzzy subgroup and study some its properties. In particular, the characterization of nilpotent fuzzy group has been obtained.

Keywords: Fuzzy group; fuzzy subgroup; lower central series; nilpotent fuzzy group; normalizer condition; ascendant fuzzy subgroup; characteristic function.

MSC: 20N25, 08A72, 03E72

Received: 18.01.2013
Revised: 18.01.2013

Language: English



Bibliographic databases:

© Steklov Math. Inst. of RAS, 2024