We study the transfer via functors between abelian categories of the (dual) relative splitness
of objects with respect to a fully invariant short exact sequence. We mainly consider fully …

We introduce and investigate (dual) relative split objects with respect to a fully invariant short
exact sequence in abelian categories. We compare them with (dual) relative Rickart objects …

Full article: Pure-direct-objects in categories: transfer via functors Skip to Main Content Taylor and
Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …

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 give …

Full article: D4-objects in abelian categories: Transfer via functors Skip to Main Content Taylor
and Francis Online homepage Taylor and Francis Online homepage Access provided by The …

We study the transfer of (dual) relative Rickart properties via functors between abelian
categories, and we deduce the transfer of (dual) relative Baer property. We also give …

For an adjoint pair (F, U)(F, U) of functors, we prove that UU is a separable functor if and only
if the defined monad is separable and the associated comparison functor is an equivalence …

We mainly investigate abelian quotients of categories of short exact sequences. The natural
framework to consider the question is via identifying quotients of morphism categories as …

For a given family $\{(\mathrm {q} _i,\mathrm {t} _i,\mathrm {p_i})\} _ {i\in I} $ of adjoint triples
between exact categories $\mathcal {C} $ or $\mathcal {D} $, we show that any cotorsion …

An adjoint pair of contravariant functors between abelian categories can be extended to the
adjoint pair of their derived functors in the associated derived categories. We describe the …