In this paper we introduce a notion of multilinear product for triples in Set, which if it is given by a distributive law then coincides with the one given by Bunge. We also demonstrate that the tensor product of two triples, if there exists, is an initial object in a suitable category of multilinear products.
@article{urn:eudml:doc:43765, title = {The tensor product of triples as multilinear product.}, journal = {Revista Matem\'atica de la Universidad Complutense de Madrid}, volume = {6}, year = {1993}, pages = {13-25}, zbl = {0805.18004}, mrnumber = {MR1245022}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:43765} }
Freire Nistal, José L.; López López, Miguel A. The tensor product of triples as multilinear product.. Revista Matemática de la Universidad Complutense de Madrid, Tome 6 (1993) pp. 13-25. http://gdmltest.u-ga.fr/item/urn:eudml:doc:43765/