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Displaying similar documents to “Tertiary decomposition in Grothendieck categories”

Gabriel filters in Grothendieck categories.

Ana Jeremías López, María Purificación López López, Emilio Villanueva Nóvoa (1992)

Publicacions Matemàtiques

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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...