  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, and we study their behaviour with respect
to direct sums and classes all of whose objects are (dual) relative split. We
also introduce and study (dual) strongly relative split objects. Applications
are given to Grothendieck categories, module and comodule categories.
