2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219837A surjective bounded homomorphism fails to preserve $n$-weak amenability, in general. We however show that it preserves the property if the involved homomorphism enjoys a right inverse. We examine this fact for certain homomorphisms on several Banach algebras.To appear in Math. BohemFunctional Analysis46H20; 46H25Constructions preserving $n$-weak amenability of Banach algebrastext