2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/211664In order to account for all possible contractions allowed by the presence of the solder form, a generalized Hodge dual is defined for the case of soldered bundles. Although for curvature the generalized dual coincides with the usual one, for torsion it gives a completely new dual definition. Starting from the standard form of a gauge lagrangian for the translation group, the generalized Hodge dual yields precisely the lagrangian of the teleparallel equivalent of general relativity, and consequently also the Einstein-Hilbert lagrangian of general relativity.8 pages, no figures. Accepted for publication in Journal of Physics AGeneral Relativity and Quantum Cosmologytext