2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115115It is observed that Kaygun's Hopf-Hochschild cochain complex for a module-algebra is a brace algebra with multiplication. As a result, (i) an analogue of Deligne's Conjecture holds for module-algebras, and (ii) the Hopf-Hochschild cohomology of a module-algebra has a Gerstenhaber algebra structure.12 pagesK-Theory and HomologyAlgebraic TopologyRings and Algebras16E40; 16W30text