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Algebra and Discrete Mathematics, 2013, Volume 15, Issue 1, Pages 23–36 (Mi adm409)  
This article is cited in 2 scientific papers (total 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
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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.
Received: 18.01.2013
Revised: 18.01.2013
Bibliographic databases:
Document Type: Article
MSC: 20N25, 08A72, 03E72
Language: English
Citation: L. A. Kurdachenko, K. O. Grin, N. A. Turbay, “On normalizers in fuzzy groups”, Algebra Discrete Math., 15:1 (2013), 23–36
Citation in format AMSBIB
\Bibitem{KurGriTur13}
\by L.~A.~Kurdachenko, K.~O.~Grin, N.~A.~Turbay
\paper On normalizers in fuzzy groups
\jour Algebra Discrete Math.
\yr 2013
\vol 15
\issue 1
\pages 23--36
\mathnet{http://mi.mathnet.ru/adm409}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3100127}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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