Dear Albert, I "half agree" with you. The term "matrix" has been used by by Freyd- Scedrov in their allegories, by myself in my paper on distributors, and probably by many other persons. However in both cases the situation was such that one could define the "product" of two matrixes and get an allegory or more generally a bi-category, and I suggest it should be restricted to such cases. In the general situation where the product is not defined, I suggest the word "array" (with entries in C, if we want to specify C) Bonnne Année, Jean Le 3 janv. 11 à 23:40, burroni@math.jussieu.fr a écrit :
Dear Mike,
In fact, we can call it a matrix (of (I x J)- type) with coefficients in the category. When the category is a category of modules, we have that way a natural generalization of classical matrices.
Cheers, Albert
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