Abstract
We study some properties of left product of two subcategories: one coreflective and one reflective in the category of local convex topological vectorial Hausdorff spaces. In this work on examined the situation generated by a structures of factorization (P 00 , I 00) with certain properties, allowing to prove that the left product of some coreflective subcategories with any P 00 - reflective subcategory is one and the same. In addition, be indicated examples of coreflectors and reflectors functors which commutes

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