Ancochea Bermúdez, José MaríaCampoamor Stursberg, Otto-RudwigGarcía Vergnolle, Lucía2023-06-202023-06-2020061312-7594https://hdl.handle.net/20.500.14352/50562Let g = s n r be an indecomposable Lie algebra with nontrivial semisimple Levi subalgebra s and nontrivial solvable radical r. In this note it is proved that r cannot be isomorphic to a filiform nilpotent Lie algebra. The proof uses the fact that any Lie algebra g = snr with filiform radical would degenerate (even contract) to the Lie algebra snfn, where fn is the standard graded filiform Lie algebra of dimension n = dim r. This leads to a contradiction, since no such indecomposable algebra snr with r = fn existsengjournal articlehttp://www.m-hikari.com/imf-password/5-8-2006/campoamorIMF5-8-2006.pdfhttp://www.m-hikari.com/index.htmlopen access512.554.3Lie algebraLevi decompositionradicalÁlgebra1201 Álgebra