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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…
math.CT2021
Strongly CS-Rickart and dual strongly CS-Rickart objects in abelian categories
Septimu Crivei, Simona Maria Radu
We introduce (dual) strongly relative CS-Rickart objects in abelian categories, as common generalizations of (dual) strongly relative Rickart objects and strongly extending (liftin…
math.CT2021
Transfer of CS-Rickart and dual CS-Rickart properties via functors between abelian categories
Septimiu Crivei, Simona Maria Radu
We study the transfer of (dual) relative CS-Rickart properties via functors between abelian categories. We consider fully faithful functors as well as adjoint pairs of functors. We…