Ancochea Bermúdez, José MaríaCampoamor Stursberg, Otto-Rudwig2023-06-202023-06-2020010092-787210.1081/AGB-100000810https://hdl.handle.net/20.500.14352/58411We prove first that every (n − p)-filiform Lie algebra, p ≤ 3, is the nilradical of a solvable, nonnilpotent rigid Lie algebra. We also analize howthis result extends to (n − 4)-filiform Lie algebras. For this purpose, we give a classificaction of these algebras and then determine which of the obtained classes appear as the nilradical of a rigid algebra.engjournal articlehttps//doi.org/10.1081/AGB-100000810http://www.tandfonline.com/doi/pdf/10.1081/AGB-100000810restricted access512.554.3Rigidp-filiformÁlgebra1201 Álgebra