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arXiv · 2210.14337

On coherent systems of subobjects with application to torsion theory

Francis Borceux·Maria Manuel Clementino
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Abstract

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.

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Francis Borceux, Maria Manuel Clementino. 2022-10-25. On coherent systems of subobjects with application to torsion theory. https://arxiv.org/abs/2210.14337

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