Transfer of CS-Rickart and dual CS-Rickart properties via functors between Abelian categories.

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 several applications to Grothendieck categories and, in particular, to (graded) module and comodule categories. [ABSTRACT FROM AUTHOR]