2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129715We introduced a braided Sweedler cohomology, which is adequate to work with the H-braided cleft extensions studied in [J. A. Guccione and J. J. Guccione, Theory of braided Hopf crossed products, Journal of Algebra, Vol 261 (2003) 54-101]26 pagesRings and AlgebrasK-Theory and Homology18G60; 16W30text