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

• Autores: María Pilar Carrasco Carrasco , T. Porter
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 67, Fasc. 3, 2016, págs. 485-517
• Idioma: inglés
• DOI: 10.1007/s13348-015-0156-9
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• Resumen

  • 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.