Separable functors in graded rings (Q1295516)

\textit{C. Năstăsescu, M. Van den Bergh} and \textit{F. Van Oystaeyen} introduced the concept of separable functor [J. Algebra 123, No. 2, 397-413 (1989; Zbl 0673.16026)]. The authors obtain characterizations of separable adjoint functors in Grothendieck categories with projective generators. As particular cases the separability of the restriction of scalars, induction and coinduction functors associated to a graded homomorphism of group-graded rings is investigated. In the last section the relation between the separability of the preceding graded functors and the ungraded ones is considered.