On theta pair for a proper subalgebra
Authors : Ali Reza Salemkar, Sara Chehrazi, Hamid Mohammadzadeh
Pages : 592-597
Doi:10.3906/mat-1112-43
View : 8 | Download : 9
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :For a proper subalgebra K of a finite dimensional Lie algebra L, a pair (A,B) of subalgebras of L is called a q-pair if L = \langle A,K\rangle, B is the largest ideal of L contained in A\cap K and for each proper subalgebra C/B of A/B which is an ideal of L/B, we have L\neq C+K. In this article, using this concept, we give some characterizations of solvability and supersolvability of a finite dimensional Lie algebra.Keywords : q-pair, Lie algebra, solvable, supersolvable