 The technique of fibring by functions is an interesting alternative to fusion and products, but, as much as its competitors, it cannot be extended to non-modal logics in any obvious way (see Coniglio and Fernández 2005 for an adaptation of the method of fibring by functions to matrix logics). One reason for the failure of fibring by functions to what concerns generalizations is that it is not a universal construction (in categorial terms). Moreover, the lack of a systematic definition of the axiomatization for the logics obtained by fibring is another negative aspect of this technique. The next subsection describes a categorial generalization of fibring which solves all the mentioned problems.