Solvable $L$-subgroup of an $L$-group

Jahan, Iffat; Ajmal, Naseem

doi:10.22111/ijfs.2015.2025

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	Solvable $L$-subgroup of an $L$-group
Iranian Journal of Fuzzy Systems
مقاله 11، دوره 12، شماره 3، شهریور 2015، صفحه 151-166 اصل مقاله (322.53 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2015.2025
نویسندگان
Iffat Jahan^* ¹؛ Naseem Ajmal²
¹Department of Mathematics, Ramjas College,, University of Delhi,, Delhi-110007, India
²Department of Mathematics, Zakir Husain Delhi College,, J.N.Marg, University of Delhi, Delhi-110006, India
چکیده
In this paper, we study the notion of solvable $L$-subgroup of an $L$-group and provide its level subset characterization and this justifies the suitability of this extension. Throughout this work, we have used normality of an $L$-subgroup of an $L$-group in the sense of Wu rather than Liu.
کلیدواژه‌ها
$L$-algebra؛ $L$-subgroup؛ Normal $L$-subgroup؛ Solvable $L$-subgroup؛ Derived series؛ Solvable series

مراجع
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Solvable $L$-subgroup of an $L$-group