Gabriel filters in Grothendieck categories.
In [1] it is proved that one must take care trying to copy results from the case of modules to an arbitrary Grothendieck category in order to describe a hereditary torsion theory in terms of filters of a generator. By the other side, we usually have for a Grothendick category an infinite family of generators {G; i ∈ I} and, although each G has good properties the generator G = ⊕ G is not easy to handle (for instance in categories like graded modules). In this paper the authors obtain a bijective...