On coherent systems of subobjects with application to torsion theory

Published 25 Oct 2022 in math.CT | (2210.14337v1)

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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