Ancochea Bermúdez, José MaríaCampoamor Stursberg, Otto-Rudwig2023-06-202023-06-202003-11-010022-404910.1016/S0022-4049(03)00086-0https://hdl.handle.net/20.500.14352/50566We 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.engjournal articlehttps//doi.org/10.1016/S0022-4049(03)00086-0http://www.sciencedirect.com/science/article/pii/S0022404903000860restricted access512.554.3Álgebra1201 Álgebra