1 citations · 1 across the 2 of their papers we have counts for
4 papers
On coherent systems of subobjects with application to torsion theory
Francis Borceux, Maria Manuel Clementino
In a coherent category, the posets of subobjects have very strong properties. We emphasize the validity of these properties, in general categories, for well-behaved classes of subo…
The stable category of preorders in a pretopos I: general theory
Francis Borceux, Federico Campanini, Marino Gran
In a recent article Facchini and Finocchiaro considered a natural pretorsion theory in the category of preordered sets inducing a corresponding stable category. In the present work…
On the representability of actions in the topos context
Francis Borceux
The notion of a group G acting on a group X is well-known. Fixing X, the corresponding functor Act(-,X) is representable by the group [X] of automorphisms of X. The notion of G-act…
Monadic approach to Galois descent and cohomology
F. Borceux, S. Caenepeel, G. Janelidze
We describe a simplified categorical approach to Galois descent theory. It is well known that Galois descent is a special case of Grothendieck descent, and that under mild addition…