Some properties of left product of two subcategories

Abstract

We study some properties of left product of two subcategories: one coreective and one reective in the category of local convex topological vectorial Hausdorff spaces. In this work on examined the situation generated by a structures of factorization (P11; I11) with certain properties, allowing to prove that the left product of some coreective subcategories with any P11 - reective subcategory is one and the same. In addition, be indicated examples of coreectors and reectors functors which commutes.