Results on (Engel, Solvable, Nilpotent) Fuzzy Subpolygroups
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 5, p. 667
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In this paper, first we define the notion of an Engel polygroup, to get further properties on Engel fuzzy subpolygroups. Moreover, we prove that every normal fuzzy subpolygroup of an Engel polygroup is Engel. Furthermore, we introduce the notions of solvable and nilpotent fuzzy subpolygroups and we get some of their properties. Finally we investigate the relations among solvable and nilpotent fuzzy subpolygroups with Engel fuzzy subpolygroups.
Classification :
43A62 20F45, 20N25
Keywords: Engel group, Engel polygroup, (Engel, solvable, nilpotent) fuzzy subpolygroup
Keywords: Engel group, Engel polygroup, (Engel, solvable, nilpotent) fuzzy subpolygroup
@article{KJM_2021_45_5_a0,
author = {Elahe Mohammadzadeh and Rajab Ali Borzooei},
title = {Results on {(Engel,} {Solvable,} {Nilpotent)} {Fuzzy} {Subpolygroups}},
journal = {Kragujevac Journal of Mathematics},
pages = {667 },
publisher = {mathdoc},
volume = {45},
number = {5},
year = {2021},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2021_45_5_a0/}
}
Elahe Mohammadzadeh; Rajab Ali Borzooei. Results on (Engel, Solvable, Nilpotent) Fuzzy Subpolygroups. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 5, p. 667 . http://geodesic.mathdoc.fr/item/KJM_2021_45_5_a0/