شماره ركورد كنفرانس :
3934
عنوان مقاله :
On the theta completions and strong theta completions for proper
subalgebras
پديدآورندگان :
Goudarzi Leila le.goudarzi@abru.ac.ir University of Ayatollah Alozma Boroujerdi;
كليدواژه :
Lie algebras , solvable , _x0012_ , completion , s , _x0012_ , completion
عنوان كنفرانس :
بيست و پنجمين سمينار جبر ايران
چكيده فارسي :
For a proper subalgebra H of a Lie algebra L, we say a subalgebra C of L is a -completion for H if
L = H;C while HL C and if C1=HL is a proper subalgebra of C=HL such that C1=HL C L=HL,
then L , H + C1. A -completion C of H is called s- -completion, if C = L or there exists a
subalgebra B of L such that C l B and B is not a -completion for H. By these notions we give some
characterisations for solvability of Lie algebras.
