Introduces non-pointed torsion theories in categories with posetal monocoreflective subcategories that invert monomorphisms, connects them to factorization systems and Galois structures, and provides examples in dual elementary toposes, varieties for non-classical logic, and coslices of Ab.
Cappelletti, A Galois theory and a pretorsion theory in MV-algebras, arxiv preprint (2023) arXiv:2310.11006
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Torsion Theories in a Non-pointed Context
Introduces non-pointed torsion theories in categories with posetal monocoreflective subcategories that invert monomorphisms, connects them to factorization systems and Galois structures, and provides examples in dual elementary toposes, varieties for non-classical logic, and coslices of Ab.