Research Information System
COMMUNICATIONS IN ALGEBRA, vol.19, no.1, pp.29-35, 1991 (SCI-Expanded)
This paper investigates ideals in free polynipotent Lie algebras. In section 2 it is shown that if S is a non-zero finitely generated subalgebra that is an ideal in a free polynilpotent Lie algebra L, then S = L. In section-sign 3 it is proved that if L is a free polynilpotent Lie algebra and S is a nonabelian free polynilpotent ideal in L, then S is a term of the polycentral series of L or S = L.