Nilpotency and Theory of L-Subgroups of an L-Group

In this paper, the notion of commutator is modified and extended to L-setting. Also, the notion of descending central series is introduced which is used to formulate the important notion of nilpotent L-subgroup of an L-group. Moreover, the level subset characterization for the notion of nilpotent L-...

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Bibliographic Details
Published in:Fuzzy information and engineering 2014-03, Vol.6 (1), p.1-17
Main Authors: Ajmal, Naseem, Jahan, Iffat
Format: Article
Language:English
Subjects:
[formula omitted]-Algebra
[formula omitted]-Subgroup
Commutators
Generated [formula omitted]-subgroup
Generated L-subgroup
L-Algebra
L-Subgroup
Nilpotent [formula omitted]-subgroup
Nilpotent L-subgroup
Normal [formula omitted]-subgroup
Normal L-subgroup
Subgroups
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Summary:In this paper, the notion of commutator is modified and extended to L-setting. Also, the notion of descending central series is introduced which is used to formulate the important notion of nilpotent L-subgroup of an L-group. Moreover, the level subset characterization for the notion of nilpotent L-subgroup is provided.
ISSN:1616-8658
1616-8666
DOI:10.1016/j.fiae.2014.06.001