On normalizers in fuzzy groups
Algebra and discrete mathematics, Tome 15 (2013) no. 1, pp. 23-36
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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.
@article{ADM_2013_15_1_a3,
author = {L. A. Kurdachenko and K. O. Grin and N. A. Turbay},
title = {On normalizers in fuzzy groups},
journal = {Algebra and discrete mathematics},
pages = {23--36},
year = {2013},
volume = {15},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2013_15_1_a3/}
}
L. A. Kurdachenko; K. O. Grin; N. A. Turbay. On normalizers in fuzzy groups. Algebra and discrete mathematics, Tome 15 (2013) no. 1, pp. 23-36. http://geodesic.mathdoc.fr/item/ADM_2013_15_1_a3/
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