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

نویسندگان
Ajmal, Naseem ID 1
Jahan, Iffat ID 2

1 Department of Mathematics, Zakir Husain Delhi College,, J.N.Marg, University of Delhi, Delhi-110006, India

2 Department of Mathematics, Ramjas College,, University of Delhi,, Delhi-110007, India

doi
10.22111/ijfs.2015.2025
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