Geodesic
On coherent systems of subobjects with application to torsion theories
Theory and applications of categories, Bunge Festschrift, Tome 40 (2024), pp. 249-277

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

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 the various torsion theories which can be universally associated with a pretorsion one.

Publié le :
Classification : 18E40, 18B50, 18A20, 18E35
Keywords: coherent system of subobjects, (pre)torsion theory, torsion objects, torsion free objects, stable category, category of fractions 
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Francis Borceux; Maria Manuel Clementino. On coherent systems of subobjects with application to torsion theories. Theory and applications of categories, Bunge Festschrift, Tome 40 (2024), pp. 249-277. http://geodesic.mathdoc.fr/item/TAC_2024_40_a7/