2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119414In this paper we define the module extension dual Banach algebras and we use this Banach algebras to finding the relationship between $weak^*-$continuous homomorphisms of dual Banach algebras and Connes-amenability. So we study the $weak^*-$continuous derivations on module extension dual Banach algebras.9 pagesFunctional Analysis46HXXtext