RT Journal Article T1 On the product by generators of characteristically nilpotent Lie S-algebras A1 Ancochea Bermúdez, José María A1 Campoamor Stursberg, Otto-Rudwig AB 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. PB Elsevier SN 0022-4049 YR 2003 FD 2003-11-01 LK https://hdl.handle.net/20.500.14352/50566 UL https://hdl.handle.net/20.500.14352/50566 LA eng DS Docta Complutense RD 6 abr 2025