%0 Journal Article
%A Ancochea Bermúdez, José María
%A Campoamor Stursberg, Otto-Rudwig
%T On the product by generators of characteristically nilpotent Lie S-algebras
%D 2003
%@ 0022-4049
%U https://hdl.handle.net/20.500.14352/50566
%X We show that the product by generators preserves the characteristic nilpotence of Lie algebras, provided that the multiplied algebras belongs to the class of S-algebras. In particular, this shows the existence of nonsplit characteristically nilpotent Lie algebras h such that the quotient dim h−dim Z(h)=dim Z(h) is as small as wanted.
%~