COMMUNICATIONS IN ALGEBRA, cilt.49, sa.12, ss.5041-5060, 2021 (SCI-Expanded)
We introduce and study (dual) relative F-Baer objects as specializations of (dual) relative split objects with respect to a fully invariant short exact sequence in AB3* (AB3) abelian categories. We analyze their relationship with (dual) relative Baer objects, and we study direct summands and direct sums of (dual) relative F-Baer objects. We give applications to module and comodule categories.