Zobrazeno 1 - 10
of 165
pro vyhledávání: '"Borceux, Francis"'
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 subobjects. As an example of application, we investigate the problem of th
Externí odkaz:
http://arxiv.org/abs/2210.14337
Publikováno v:
Advances in Mathematics, Volume 426, 1 August 2023, 109110
We describe a pretorsion theory in the category $Cat$ of small categories: the torsion objects are the groupoids, while the torsion-free objects are the skeletal categories, i.e., those categories in which every isomorphism is an automorphism. We inf
Externí odkaz:
http://arxiv.org/abs/2207.08487
We propose a construction of a stable category for any pretorsion theory in a lextensive category. We prove the universal property of the stable category, that extends previous results obtained for the stable category of internal preorders in a preto
Externí odkaz:
http://arxiv.org/abs/2205.11054
We prove that the stable category associated with the category $\mathsf{PreOrd}(\mathbb C)$ of internal preorders in a pretopos $\mathbb C$ satisfies a universal property. The canonical functor from $\mathsf{PreOrd}(\mathbb C)$ to the stable category
Externí odkaz:
http://arxiv.org/abs/2201.08016
Publikováno v:
Journal of Pure and Applied Algebra, 106997, 2021
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 we propose an alternative construction of the stable category of the
Externí odkaz:
http://arxiv.org/abs/2201.05992