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math.CT2025
Flatness in finitely accessible additive categories
Manuel Cortés-Izurdiaga
Motivated by some problems proposed by Cuadra and Simson related to flat objects in finitely accessible Grothendieck categories, we study flatness in the more general setting of fi…
math.CT2024
Transfer of homological objects in exact categories via adjoint triples. Applications to functor categories
Sergio Estrada, Manuel Cortés-Izurdiaga, Sinem Odabasi
For a given family of adjoint triples between exact categories or , we show that any cotorsio…
math.CT2021
Reflective and coreflective subcategories
Manuel Cortés-Izurdiaga, Septimiu Crivei, Manuel Saorín
Given any additive category with split idempotents, pseudokernels and pseudocokernels, we show that a subcategory is coreflective if, and only if, it is…