Title of article :
On theta pair for a proper subalgebra
Author/Authors :
SALEMKAR, Ali Reza shahid beheshti university - Faculty of Mathematical Sciences, تهران, ايران , CHEHRAZI, Sara shahid beheshti university - Faculty of Mathematical Sciences, تهران, ايران , MOHAMMADZADEH, Hamid iran university of science and technology - School of Mathematics, تهران, ايران
Abstract :
For a proper subalgebra K of a finite dimensional Lie algebra L, a pair (A,B) of subalgebras of L is called a theta-pair if L = langle A,Krangle, B is the largest ideal of L contained in Acap K and for each proper subalgebra C/B of A/B which is an ideal of L/B, we have Lneq C+K. In this article, using this concept, we give some characterizations of solvability and supersolvability of a finite dimensional Lie algebra
Keywords :
θ , pair , Lie algebra , solvable , supersolvable
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
