2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124032A method for establishing a Gerstenhaber algebra structure on the cohomology of Loday-type algebras is presented. This method is then applied to dendriform dialgebras and three types of trialgebras introduced by Loday and Ronco. Along the way, our results are combined with a result of McClure-Smith to prove an analogue of Deligne's conjecture for Loday algebras.To appear in J. Pure Applied AlgebraRings and AlgebrasAlgebraic Topology16E40text