Resumen de Coproduct of 2-crossed modules: applications to a definition of a tensor product for 2-crossed complexes

María Pilar Carrasco Carrasco , T. Porter

• In this paper it is shown how to construct finite coproducts in the category of 2-crossed modules. We give explicit descriptions of the pullback functor and induced functor along a morphism of precrossed modules which are used to built the coproduct of 2-crossed modules. As an application we give a definition and construction of a possible tensor product functor for 2-crossed complexes.