On permutably complemented subalgebras of finite dimensional Lie algebras

Author(s):

Leila Goudarzi*

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
Let L be a finite-dimensional Lie algebra. We say a subalgebra H of L is permutably complemented in L if there is a subalgebra K of L such that L=H+K and H∩K=0. Also, if every subalgebra of L is permutably complemented in L, then L is called completely factorisable. In this article, we consider the influence of these concepts on the structure of a Lie algebra, in particular, we obtain some characterizations for supersolvability of a finite-dimensional Lie algebra in terms of permutably complemented subalgebras.
Keywords:

Lie algebra , permutably complemented , completely factorisable , solvable , supersolvable

Language:
English
Published:
Journal of Algebraic Structures and Their Applications, Volume:5 Issue: 2, Summer - Autumn 2018
Pages:
15 to 21
https://www.magiran.com/p1934915  
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